PRE CALC HELP PLEASE

PRE CALC HELP PLEASE

Answers

Answer 1

Answer:

B. The graph is stretched vertically by a factor of 2

Step-by-step explanation:

A non-rigid transformation changes the shape of the curve.

In y + 5 = -2(x - 1)²

the +5 translates the graph 5 units down (a rigid transformation)the -1 translates the graph 1 units to the right (a rigid transformation)the -2 vertically stretches the graph by a factor of 2 (a non-rigid transformation) and reflect it across the x-axis (a rigid transformation)

Related Questions

Three tins, A, B and C, each contain buttons.
Tin A contains x buttons.
Tin B contains 4 times the number of buttons that tin A contains.
Tin C contains 7 fewer buttons than tin A.
The total number of buttons in the three tins is 137
Work out the number of buttons in tin C.

Answers

the number of buttons in tin C is 17.
x+4x+x-7= 137
combine like terms
6x-7=137
isolate the variable by adding 7 to both sides
6x=144
divide
x=24
but remember, tin c is x-7 so plug the 24 in, and the answer is 17.

The number of buttons in C is 17 buttons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the three tins be A , B and C respectively

The number of buttons in tin A = x

The number of buttons in tin B = 4 times the number of buttons in tin A

                                                   = 4x

The number of buttons in tin C = 7 fewer buttons than tin A

                                                    = x - 7

The total number of buttons in tin A , tin B and tin C together = 137 buttons

So , the total number of buttons =
number of buttons in tin A + number of buttons in tin B + number of buttons in tin C

So , the equation will be

Total number of buttons = x + 4x + ( x - 7 )

x + 4x + ( x - 7 ) = 137

6x - 7 = 137

Adding 7 on both sides , we get

6x = 144

Divide by 6 on both sides , we get

x = 24 buttons

So , the number of buttons in tin A is 24 buttons

So , number of buttons in tin B = 4 x 24

                                                   = 96 buttons

Therefore , the number of buttons in tin C = 17 buttons

Hence , the number of buttons in tin C is 17 buttons

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Determine both the x and y intercepts. Please help! Will mark brainliest!

Answers

Answer:

y-intercept: (0, 2.5)

x-intercept: (1.67, 0)

Step-by-step explanation:

Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.

2y = -3x + 5

y = -3/2x + 5/2

From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).

To get the x-intercept, substitute 0 for y.

0 = -3/2x + 5/2

3/2x = 5/2

3x = 5

x = 5/3

So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).

Hope this helps!

Answer:

Step-by-step explanation:

To find the x-intercept, let y = 0.  Then 3x = 5 and x = 5/3, or x = 1.667, and the x-intercept is (1.667, 0).

To find the y-intercept, let x = 0.  Then 2y = 5 and y = 5/2 or 2.5.  Then the y-intercept is (0, 2.5).

D is m<5+m<6
Please answer im not very good with this math

Answers

Answer:

A. m∠2 + m∠3

Step-by-step explanation:

The exterior angle theorem states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles.

So m∠4's non-adjacent angles are 2 and 3 NOT 1. Therefore, the measure of ∠4 = m∠2 + m∠3.

Hope this helps!

Answer:

A) m∠2 + m∠3

Step-by-step explanation:

Triangle Exterior Angle Theorem: The Sum of the outside angle is found using by adding the two opposite interior angles.

In the case of ∠4, the opposite interior angles are ∠2 & ∠3.

~

The school band had a candy bar fundraiser. They paid $1.25 for each candy bar and sold them for $2 each. How many candy bars will they have to sell to make $300?

Answers

Answer:

225

Step-by-step explanation:

Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ cup of butter. Travis accidentally put a whole cup of butter in the mix. What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?

Answers

Answer:

6 cups

Step-by-step explanation:

3/4x8=

6

Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?

a. 3 red squares to 6 green squares

b. 6 red squares to 3 green squares

c. 5 red squares to 12 green squares

d. 12 red squares to 5 green squares

Please include the work!

Answers

Answer: A. 3 red squares to 6 green squares

Step-by-step explanation:

Method 1) Find a common factor between 15 and 30. For this problem, I'll pick 5. Divide both numbers by this common factor.

15/5=3 red squares

30/5=6 green squares

3 red squares to 6 green squares

Method 2) Find the greatest common factor between 15 and 30. The GCF is 15. Divide both numbers by the GCF.

15/15=1

30/15=2

This leaves you with a ratio of 1 red square to 2 green squares. 1:2 is equivalent to 3:6

3 red squares to 6 green squares

The answer is a 3 red square to 6 green square

PLSSSS HELP! Find all real zeros and complex of each solution x^3-5x^2+7x-35=0. SHOW WORK!!!

Answers

Hey there! :)

Answer:

x = 5, x = -i√7, x = i√7

Step-by-step explanation:

We can factor the equation x³ - 5x² + 7x - 35 = 0 by grouping:

x²(x - 5) + 7(x -5) = 0

We get:

(x² + 7)(x - 5) = 0

or

(x + i√7)(x - i√7)(x - 5) = 0

Use the Zero Product Property to solve for the solutions:

x - 5 = 0

x = 5.

-----------

x² + 7 = 0

x² = -7 (We will have imaginary solutions in this instance)

x = ±i√7

Therefore, the zeros of this equation are:

x = 5, x = -i√7, x = i√7

I need help w number 6

Answers

Answer:

I would say that it is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?

It is a series of points that fall in a straight line but are unconnected.
It is a series of points that cannot be connected by a straight line.
It is a line connecting a series of points.
It is a line drawn only in the first quadrant.

Answers

Answer:

A. It is a series of points that fall in a straight line but are unconnected.

Step-by-step explanation:

Given variables y and x, and a proportional factor k, the proportional relationship is :

y/x = k or y = k*x

This means that points fall in a straight line.

Discrete data means that the function is also discrete, that is, points are not connected between them like in a continuous function.

Answer:

its a

Step-by-step explanation:

got it right

A weather station on the top of a mountain reports that the temperature is currently 0℃ and has been falling at a constant rate of 3.5℃ per hour. What will the temperature at the top of the mountain be in 5 hours?

Answers

Answer:

-17.5℃

Step-by-step explanation:

Current temperature = 0 ℃

Rate of falling per hour = -3.5 ℃

Temperature in 5 hours = -3.5 * 5 = -17.5 ℃  

What type of function is represented in the table? 5 10 15 20 25 30 6.6 13. 19.5. 26 32.5 39 A. exponential B. logarithmic C. linear D. quadratic 40 points

Answers

Answer:

logarithmic I think

Step-by-step explanation:

Use process of elimination

Answer:

C). linear

Step-by-step explanation:

test

PLEASE HELP ME ASAP!!!
I need help on b!!!​

Answers

Answer:

See below hot to plot.

Step-by-step explanation:

You did part a correctly and now have 3 points of this graph. For part b you need to plot the line by first plotting the points.

Plot the points on the graph and then connect them with a line.

The three points are (-5, -3), (0, 2), and (3, 5).

To plot (-5, -3):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Go 5 units left to the -5. Now go 3 units down. That is point (-5, -3). Put a dot on it.

To plot (0, 2):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Since the x-coordinate is 0, don't go right or left. Now go 2 units up to where you see a 2 on the y-axis. That is point (0, 2). Put a dot on it.

To plot (3, 5):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Go 3 units right to the 3 on the x-axis. Now go 5 units up. That is point (3, 5). Put a dot on it.

Now connect the three dots with a line. Put arrow heads at both ends of the line.

Answer:

Hope this helps

Determine the measure of ∠θ using a trigonometric ratio. ANSWERS: A) 45.10° B) 1.00° C) 12.54° D) 17.38°

Answers

Answer:

A

Step-by-step explanation:

angle A is 90 and c and b have to be equal

Answer:

Step-by-step explanation:

45.10

Factorise fully 72-2y^2

Answers

Answer: 2(y + 6)(-y + 6)

Step-by-step explanation: Factor 72 - 2y^2

                                             -2y^2 + 72

                                             = 2(y + 6)(-y + 6)

Answer:

[tex]-2\left(y+6\right)\left(y-6\right)[/tex]

Step-by-step explanation:

[tex]72-2y^2[/tex]

[tex]-2y^2+72[/tex]

Factor out GCF.

[tex]2(-y^2+36)[/tex]

Apply difference of two squares formula.

[tex]-2\left(y+6\right)\left(y-6\right)[/tex]

8
Express it in slope-intercept form.
6
Enter the correct answer.
OOO
DONE
Clear all
2
6 8

Answers

Answer:

I'm confused what's the question ?

the question is in the photo please show work

Answers

Answer:

x=pm-rm

Step-by-step explanation:

[tex]\frac{x}{m}+r=p\\\\ \frac{x}{m}+r-r=p-r\\\\\frac{x}{m}=p-r\\\\\frac{x}{m}*m=(p-r)*m\\\\\boxed{x=pm-rm; m\neq 0}[/tex]

solve the equation 5-8x=-1

Answers

Answer:

[tex]x = \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]5 - 8x = - 1[/tex]

Move constant to R.H.S and change its sign:

[tex] - 8x = - 1 - 5[/tex]

Calculate

[tex] - 8x = - 6[/tex]

The difference sign (-) will be cancelled in both sides

[tex]8x = 6[/tex]

Divide both sides of the equation by 8

[tex] \frac{8x}{8} = \frac{6}{8} [/tex]

Calculate

[tex]x = \frac{3}{4} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Hey there!

5-8x=-1

-8x=-6

x=3/4

Hope this helps!

–5(v + 65) = -65 v = ____

Answers

Answer:

v = -52

Step-by-step explanation:

Divide both sides by -5

v + 65 = 13

v = 13 - 65

v = -52

Answer:

v= -52

Step-by-step explanation:

-5(v+65)=-65

-5v-325=-65

-5v=260

v=-52

simplify the expression (-a+2b) - (3a+b)

Answers

Answer:

-4a + b

Step-by-step explanation:

Take away the parentheses (brackets) and solve.

-a + 2b - 3a - b

-a - 3a + 2b - b

-4a + b

Answer:

It's -[tex]4a + b[/tex]

Step-by-step explanation:

Simplify the expression.

If you're good at trigonometry please help me with question nine a and b and show full working out tyyyyyyyy ;)

Answers

Problem 9, part a)

Compass bearings always have north as the starting point. This is where 0 degrees is situated, and 360 degrees as well. As the bearing angle increases, you'll turn to the right toward the eastward direction. Effectively you're sweeping out a clockwise rotation. The bearing 322 degrees is in a northwest position as the diagram shows (place the ship at the bottom right corner of the triangle). The bottom right acute angle of the triangle is 322 - 270 = 52 degrees. This is the reference angle we'll use for finding the distance d.

With respect to the reference angle of 52 degrees, the side 18.5 is the opposite side and d is the adjacent side. Use the tangent ratio to get...

tan(angle) = opposite/adjacent

tan(52) = 18.5/d

d*tan(52) = 18.5

d = 18.5/tan(52)

d = 14.4537840903742

The approximate value of d is 14.4537840903742 km

This rounds to 14.5 when rounding to one decimal place.

Answer: 14.5 km

=======================================================

Problem 9, part b)

Recall that

distance = rate*time

where "rate" is another term for "speed" or "velocity"

We can solve this for the time to get

time = distance/rate

------

We found the distance back in part a) above. We are given the rate of 48 km/h

So,

time = distance/rate

time = 14.4537840903742/48

time = 0.3011205018828

This is the time it takes in hours. Multiply by 60 to convert to minutes

0.3011205018828 hours = 60*0.3011205018828 = 18.067230112968 minutes

This rounds to the whole number 18

Answer: 18 minutes

Please help! its urgent

Answers

Answer:

a)3/6 and 4/6

b)15/20 and 12/20

c)4/6 and 5/6

d)15/20 and 14/20

Step-by-step explanation:

Change the demonimator to the lowest common demonimator. What ever you do to the bottom number to get to the lowest common denominator, multiply the numerator by the same number.

a) 3/6 and 4/6

b) 15/20 and 12/20

c) 12/18 and 15/18

d) 30/40 and 28/40

You can multiply the bottom two numbers together, then cross multiply

Which of the following are reasons used in the proof that the angle-bisector construction can be used to bisect any angle?

Check all that apply

A. Any Line segment can be extended indefinitely

B. All of the radii of a circle are congruent

C .CPCTC

D. SSS triangle congruence postulate

Answers

Answer: B C D

Step-by-step explanation:

just answered it for AP3X

Reasons used in the proof that the angle-bisector construction can be used to bisect any angle are as follows:

B. All of the radii of a circle are congruent

C .CPCTC

D. SSS triangle congruence postulate

What is angle bisector ?

" Angle bisector is defined as the ray which divides the angle into two equal parts."

According to the question,

A. Any Line segment can be extended indefinitely is not required to bisect any angle .

Therefore , it is not a correct option.

B. All of the radii of a circle are congruent : To bisect an angle draw an arc with same radii is used in constructing an angle bisector .

Therefore , Option B is a correct option.

C. CPCTC : Corresponding parts of a congruent triangle are congruent is required to proof angle bisector. As it proofs two triangles are congruent.

Therefore, Option C is the correct option.

D. SSS triangle congruence postulate : It is required an important step to prove that two triangles are congruent which imply proof of angle - bisector construction.

Therefore, Option D is the correct option.

Hence, Option B, Option C , Option D are the correct answer.

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Fined the slope of this table

Answers

Answer: 8/7 And simplified simplified 1 1/7

Step-by-step explanation:

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Slopes and Tangents.

Basically the above data is the representation of the linear equation.

Thus the slope of linear equation is given as,

m = (y2-y1) / (x2-x1)

so taking any randoms numbers from the given table, we get as,

m = (14-7)/(16-8)

m= (7)/(8)

slope = m = 0.875

A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then two females. b. a female is selected, then two males. c. two females are selected, then one male. d. three males are selected. e. three females are selected.

Answers

Answer:

(a) The probability that a male is selected, then two females is 0.4352.

(b) The probability that a female is selected, then two males is 0.3348.

(c) The probability that two females are selected, then one male is 0.4352.

(d) The probability that three males are selected is 0.0717.

(e) The probability that three females are selected is 0.1583.

Step-by-step explanation:

We are given that a math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment.

(a) The probability that a male is selected, then two females is given by;

Number of ways of selecting a male from a total of 11 male = [tex]^{11}C_1[/tex]

Number of ways of selecting two female from a total of 14 female = [tex]^{14}C_2[/tex]

Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]

So, the required probability =  [tex]\frac{^{11}C_1 \times ^{14}C_2}{^{25}C_3}[/tex]

                                           =  [tex]\frac{\frac{11!}{1! \times 10!} \times \frac{14!}{2! \times 12!} }{\frac{25!}{3! \times 22!} }[/tex]     {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }

                                           =  [tex]\frac{1001}{2300}[/tex]  =  0.4352

(b) The probability that a female is selected, then two males is given by;

Number of ways of selecting a female from a total of 14 female = [tex]^{14}C_1[/tex]

Number of ways of selecting two males from a total of 11 male = [tex]^{11}C_2[/tex]

Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]

So, the required probability =  [tex]\frac{^{14}C_1 \times ^{11}C_2}{^{25}C_3}[/tex]

                                           =  [tex]\frac{\frac{14!}{1! \times 13!} \times \frac{11!}{2! \times 9!} }{\frac{25!}{3! \times 22!} }[/tex]     {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }

                                           =  [tex]\frac{770}{2300}[/tex]  =  0.3348

(c) The probability that two females is selected, then one male is given by;

Number of ways of selecting two females from a total of 14 female = [tex]^{14}C_2[/tex]

Number of ways of selecting one male from a total of 11 male = [tex]^{11}C_1[/tex]

Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]

So, the required probability =  [tex]\frac{^{14}C_2 \times ^{11}C_1}{^{25}C_3}[/tex]

                                           =  [tex]\frac{\frac{14!}{2! \times 12!} \times \frac{11!}{1! \times 10!} }{\frac{25!}{3! \times 22!} }[/tex]     {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }

                                           =  [tex]\frac{1001}{2300}[/tex]  =  0.4352

(d) The probability that three males are selected is given by;

Number of ways of selecting three males from a total of 11 male = [tex]^{11}C_3[/tex]

Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]

So, the required probability =  [tex]\frac{^{11}C_3}{^{25}C_3}[/tex]

                                           =  [tex]\frac{ \frac{11!}{3! \times 8!} }{\frac{25!}{3! \times 22!} }[/tex]     {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }

                                           =  [tex]\frac{165}{2300}[/tex]  =  0.0717

(e) The probability that three females are selected is given by;

Number of ways of selecting three females from a total of 14 female = [tex]^{14}C_3[/tex]

Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]

So, the required probability =  [tex]\frac{^{14}C_3}{^{25}C_3}[/tex]

                                           =  [tex]\frac{ \frac{14!}{3! \times 11!} }{\frac{25!}{3! \times 22!} }[/tex]     {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }

                                           =  [tex]\frac{364}{2300}[/tex]  =  0.1583

(a) The probability that a male is selected, then two females is 0.4352.

(b) The probability that a female is selected, then two males is 0.3348.

(c) The probability that two females are selected, then one male is 0.4352.

(d) The probability that three males are selected is 0.0717.

(e) The probability that three females are selected is 0.1583.

Find the y-intercept of the line. Y=16/13x - 19/6

Answers

Answer:

y intercept is -19/6

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = 16/13x - 19/6

The slope is 16/13 and the y intercept is -19/6

Answer:

[tex]\boxed{-\frac{19}{6} }[/tex]

Step-by-step explanation:

Use slope-intercept formula.

[tex]y=mx+b[/tex]

[tex]m[/tex] is the slope of the line.

[tex]b[/tex] is the y-intercept of the line.

The equation of the line is already in slope-intercept form.

[tex]y=\frac{16}{3} x+-\frac{19}{6}[/tex]

[tex]b= -\frac{19}{6}[/tex]

9/5= 27/ y - 7 Thats the question. Im dyin for help. :)

Answers

Answer:

1 10/17

I answered it in the pervious question

Rani scores 4 times as many baskets as Layla. Tash scores 8 baskets less than Rani. They score 100 baskets in total. How many baskets does Tash score?

Answers

Answer:

Tash scores 40 baskets

Step-by-step explanation:

Rani = R

Layla = L

Tash = T

R = 4L

T = 4L-8

As L + R + T = 100

L + 4L + 4L-8 = 100

Collect like terms

9L - 8 = 100

+ 8 both sides

9L = 108

divide by 9 both sides

L = 108 / 9

L = 12

Now..... T = 4L-8 substitute L with 12

T = 48 - 8

T = 40

why is a domain of a parabola unlimited?

Answers

Answer:

A domain of a parabola is all real numbers because you can input any x-value into the equation.

Step-by-step explanation:

Since there are no restrictions of numbers you can put in x², we can plug anything in. Therefore, our domain is infinite numbers.

The graph of F(x) , shown below, resembles the graph of G(x) = x ^ 2 , but it has been changed somewhatWhich of the following could be the equation of F(x) ?

Answers

Answer:

B.

Step-by-step explanation:

Since we are moving the graph f(x) to the right 2 and down 1 with a reflection over the x-axis, we modify a, h, and k in f(x) = a(bx - h)² + k:

We would get f(x) = -(x - 2)² - 1 as our answer.

which of the following graphs could depict the function f(x)=m(x+d)^1/5 if both m and d are positive numbers?

Answers

Answer: Graph C

Explanation:

The x+d portion indicates we'll have either a left or right shift of d units. Since d is positive, we shift d units to the left. The value of d would have to be negative to have a right shift of d units.

This means that the junction point or turning point must be in the negative x territory. The parent function y = x^(1/5) has its turning point at the origin. So y = (x+d)^(1/5) will have its turning point at (-d,0) for some positive number d.

The exponent 1/5 is in the form 1/n with n = 5 being odd. The odd number tells us we have something like a cube root where it forms an S shape of sorts. Each branch extends on forever to the left and right. Therefore, the domain is the set of all real numbers. We don't have to worry about negative values because we aren't dealing with square roots, fourth roots, sixth roots, etc.

All of these facts point to graph C being the answer.

Answer:

c

Step-by-step explanation:

i think

Other Questions
Find the number of 4-digit numbers that contain at least three even digits. 14. Which graph shows the solution to the following system?1-x-2y -47y = -x + 4 Find two numbers whose sum equals 6 and whose product equals 4. When you stretch a spring 13 cm past its natural length, it exerts a force of 21N. What is the spring constant of this spring?A. 1.6 N/cmB. 273 N/cmC. 0.8 N/cmD. 13 N/cm Write a paragraph arguing your opinion on a controversial topic. Make sure to use factual information to suppport your opinion, and conclude with why you feel the way that you do?? What does retrospect mean?A. an inspection of a childhoodB. a decision about a familyC. an idea about women's rolesD. a contemplation of something past PLEASE ANSWER I NEED HELP In a family, the father is affected by a genetic disorder. The son in the family has the same disease, but the daughters do not have it. What type of inheritance is this? A. Y-linked B. X-linked C. polygenic D. codominant You liked most everything about your new roommate when you first met, but when you found out she smokes, that overshadowed all of her good qualities in your mind. What perception-making process are you displaying here? Group of answer choices Write a paragraph, in Spanish, giving advice to a friend about the dos and donts of staying safe at the beach. Use the informal imperative that you learned in the lesson At the beginning of an experiment, a scientist has 356 grams of radioactive goo. After 210 minutes, her sample has decayed to 44.5 grams. Find a formula for G ( t ) , the amount of goo remaining at time t . Keep at least 5 decimal places. Based on what you've learned in this lesson as well as what you learned in part A of this activity. Which two sentences about world war I are supported by what you've learned A student measures the range of sound frequencies that the human ear can hear by playing sounds for volunteers between 10 and 30,000 hertz In a bi-prism experiment the eye-piece was placed at a distance 1.5m from the source. The distance between the virtual sources was found to be equal to 7.5 x 10-4 m. Find the wavelength of the source of light if the eye-piece has to be moved transversely through a distance of 1.88 cm for 10 fringes. Light bulb A is rated at 60 W and light bulb B is rated at 100 W. Both are designed to operate at 110 V. Which statement is correct? Background information: In this speech by President Carter on Afghanistan, he mentions the SALT treaties. The Strategic Arms Limitation Talks (SALT) were two rounds of joint talks between the United States and the USSR in which they reached an agreement to reduce the number of weapons each country had. The world simply cannot stand by and permit the Soviet Union to commit this act with impunity. Fifty nations have petitioned the United Nations Security Council to condemn the Soviet Union and to demand the immediate withdrawal of all Soviet troops from Afghanistan. . . . The successful negotiation of the SALT II treaty has been a major goal and a major achievement of this administration, and we Americans, the people of the Soviet Union, and indeed the entire world will benefit from the successful control of strategic nuclear weapons through the implementation of this carefully negotiated treaty. However, because of the Soviet aggression, I have asked the United States Senate to defer further consideration of the SALT II treaty so that the Congress and I can assess Soviet actions and intentions. . . . US President Jimmy Carter, 1980 Why does President Carter state that the US Congress will wait to pass the SALT II treaty? He believes that the USSR will use nuclear weapons against the United States. He believes that the USSR will use nuclear weapons against the Middle East. He believes that the actions of the USSR should make the United States question its security. He believes that the United Nations should be consulted on any arms-reduction agreement. Find all solutions to the equation.7 sin2x - 14 sin x + 2 = -5If yall can help me for Pre-Calc, that would be great. -Thanks. Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20. The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12. Which statements are true? Check all that apply. The second sample is random. The second sample is likely to be more representative of the population. The first sample is likely to be more representative of the population. The second sample will give a better representation because is it larger. The first sample will give a better representation because it is smaller. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month. Choose the sentence that correctly uses a dash.Group of answer choicesThe white sand- the warm water- the sparkling sun this is why the family vacationed in Miami.The white sand, the warm- water, the sparkling sun this is why the family vacationed in Miami.The white sand, the warm water, the sparkling sunthis is why the family vacationed in Miami.The white sand, the warm water, the sparkling sun this is why the family vacationed in- Miami. why might i have a horrible headache and have the feeling that im going to faint in the morning Josie ran a lap in 45.23 seconds.Erica ran a lap in 43.11 seconds. Howmuch longer did it take Josie to rutthe lap?