PRE CALC, helppp please

Answer:

Option (B)

Step-by-step explanation:

Equations of the lines shown in the graph are,

[tex]y=\frac{1}{4}x-2[/tex] and [tex]y=\frac{7}{4}x+4[/tex]

For equation (1),

[tex]y=\frac{1}{4}x-2[/tex]

Slope of the line = [tex]\frac{1}{4}[/tex]

And y-intercept of the line = -2

For equation (2),

[tex]y=\frac{7}{4}x+4[/tex]

Slope of this line = [tex]\frac{7}{4}[/tex]

And y-intercept of the line = 4

From the given graphs in the options,

Graph (B) shows the lines which show the y-intercepts as y = 4 and y = -2

Therefore, Option (B) will be the answer.

Answer:

[tex]9.05 * 10^{7} kg[/tex]

Step-by-step explanation:

Given

[tex]Statue\ of\ Liberty\ =\ 2.04 * 10^5 kg[/tex]

[tex]Washington\ Monument\ =\ 9.07 * 10^7 kg[/tex]

To get the number of kilograms the Washington Monument weighs more than the Statue of Liberty, we simply calculate the difference;

Difference = Washington Monument - Statue of Liberty

[tex]Difference = \ 9.07 * 10^7 kg - \ 2.04 * 10^5 kg[/tex]

Expand [tex]10^7[/tex]

[tex]Difference = \ 9.07 * 10^{5+2} kg - \ 2.04 * 10^5 kg[/tex]

[tex]Difference = \ 9.07 * 10^{5} * 10^2 kg - \ 2.04 * 10^5 kg[/tex]

Take out the common factor in the above expression

[tex]Difference = 10^{5}\ (\ 9.07 * 10^2 kg - \ 2.04\ kg)[/tex]

[tex]10^2 = 100;[/tex] so we have

[tex]Difference = 10^{5}\ (\ 9.07 * 100 kg - \ 2.04\ kg)[/tex]

[tex]Difference = 10^{5}\ (\ 907 kg - \ 2.04\ kg)[/tex]

[tex]Difference = 10^{5}\ (904.96\ kg)[/tex]

Open bracket

[tex]Difference =904.96 * 10^{5} kg[/tex]

Write in standard form

[tex]Difference =9.0496 * 10^2 * 10^{5} kg[/tex]

[tex]Difference =9.0496 * 10^7 kg[/tex]

[tex]Difference =9.05 * 10^7 kg[/tex] (Approximated)

Hence, he Washington Monument weigh more than the Statue of Liberty by about [tex]9.05 * 10^{7} kg[/tex]

Answer:

it is d i just did the 4 quiestion assignment by the learning odessy

Step-by-step explanation:

Answer:

8.7 cm

Step-by-step explanation:

The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)

Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So

a^2 +b^2 = c^2

5^2 + 5^2 = c^2

25 + 25 = c^2

√50 = c

Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).

a^2 +b^2 = c^2

√50^2 + 5^2 = c^2

50 + 25 = c^2

√75 = c

c = 8.6602...

when rounded to 1 d.p.

c = 8.7

Line AB is 8.7 cm long.

The Volume of the smaller prism is 37.5 ft³.

Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.

The volume of the prism is determined by the formula

V = Bh

B is the base area and h is the height of the Prism.

The scale factor is given as 1/4, as the volume of the larger prism is given.

The volume of the larger prism is 2400 ft³

the side lengths will be multiplied by 1/4

Let the base area is for the larger prism the area for the smaller prism will be equal to

A = (1/16) a

The height of the larger prism is h.

Height of the smaller prism will be (1/4)h

The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism

The volume of the smaller prism = 2400 / (16*4)

The volume of the smaller prism = 37.5 ft³.

To know more about the Volume of Prism

https://brainly.com/question/1578538

#SPJ2

Answer: C

Step-by-step explanation:

y = ax + bx + c is the general equation for quadratic function. While the discriminant D is

D = b^2 - 4ac

You are given the equation:

y = x^2 + 3x - 4

Where a = 1, b = 3 and c = -4

Substitutes all the parameters into the discriminant D formula

D = 3^2 - 4 × 1 × -4

D = 9 - ( - 16 )

Open the bracket

D = 9 + 16

D = 25

Therefore, D = 25 and the roots are rational

Answer:

BD = 5

Step-by-step explanation:

∠A = 60°

Since AB = 20 = BC, Then ∠B = 60° resulting in a equilateral triangle with ∠C = 60°.  Then dividing ∠DAE into half gives 4 = angles of 15° yielding each secition of BC being equal to 20/4 = 5.  Do i don't think DE ≈ 9.28 cannot occur.

Answer:

73.18

Step-by-step explanation:

equilateral triangle means all sides are the same

A=(√3/4)a^2

A=(√3/4)*13^2

A=73.18 inches square

Answer:

73.18 square inches.

Step-by-step explanation:

To find the area of an equilateral triangle, we use a certain formula.

Where the side length is represented by s, the area is (sqrt(3))/4 * s^2.

Since s = 13, you will have (sqrt(3))/4 * 13^2 = 1.732050808/4 * 169 = 292.7165865/4 = 73.17914662. You can round that to 73.18.

So, the area of the triangle is 73.18 square inches.

Remember to use your units when presenting your answer, and hope this helps!

Answer:

14 units

Step-by-step explanation:

We apply the Theorem of reflection over parallel lines.

Theorem: The composition of two reflections over parallel lines that are h units apart is the same as a translation of 2h units.

Given that the two parallel lines are 7 units apart

h=7 units

2h= 2 X 7 =14 units

Therefore, the preimage and the final image will be 14 units apart.

Answer:

2

Step-by-step explanation:

Answer:

slope = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)

m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]

Answer:

7/5

Step-by-step explanation:

m=y2-y1/x2-x1

7-0=7

2-(-3)=5

7/5

Answer:

a) we know that:

the tens digit exeeds the units digit by 3, then if we have two digits

ab.

and b, the digit for units is equal to r.

then a, the digit for tens, is equal to r + 3.

Then, if r = 4, we have that the digit for tens is r + 3 = 7

and the number is 74.

b) if n is an integer, then we know that 2*n is an even number.

Now, the next even number is always 2 units away, then the next even number to 2*n is:

2*n + 2 = 2*(n + 1)

Answer:

A. tan(x) = 2.4/10

Step-by-step explanation:

The question is incomplete and lacks the required diagram. Find the question and diagram attached below.

Which equation can be used to solve for the measure of angle ABC? tan(x) = 2.4/10 tan(x) =10/2.4 sin(x) =10/10.3 sin(x) =10.3/10

We will use the SOH CAH TOA identity to calculate the equation needed to solve for angle ABC.

In a right angled triangle, the side facing the acute angle ABC is the opposite, the longest side is the hypotenuse and the third side (base) is the adjacent.

From the diagram shown;

AB = hypotenuse = 10.3cm

AC = opposite = 2.4cm

BC = adjacent  = 10cm

To get the angle x, we can use the SOH and TOA identity.

SOH means sin<ABC = opp/hyp

Sin(x) = AC/AB = 2.4/10.3

TOA ≈ Tan(x) = opp/adj

Tan(x) = 2.4/10

The equation that can be used to solve for the measure of angle ABC are therefore sin(x) = 2.4/10.3 OR tan(x) = 2.4/10

Based on the given option,

tan(x) = 2.4/10 is the only correct answer.

Answer:

in short its A.

Step-by-step explanation:

EDGE 2021

Answer:

Area: 5 cm squared

Perimeter: 12 cm

Step-by-step explanation:

The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.

Answer:

  see below

Step-by-step explanation:

The mapping tells you how to find the vertices of the image:

  (x, y) ⇒ (x +2, y -3)

  S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D

  T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)

  V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)

Answer:

D

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

When you have a parallel line, the slope of the line is the same. So the slope of (-4,3),(-4,7)=4 would be the same as for example  4x+5  

Answer:

D. 2y < 2

Step-by-step explanation:

To find the equation with shaded area below the boundary line, all we need to do is to examine each inequality and find the one which gives

+y < ( a constant)

We can leave out the x term for this.

For example:

A. y>5  clearly it is shaded above the line (because of the > sign)

B. -3y <3 => 3y > -3    so again it is shaded above

C. -3y                   is not even an inequality

D. 2y < 2              clearly it is shaded BELOW

E. 4y >12              clearly it is shaded above

See also attached diagram.  The answer is represented by the purple area.  All the other areas are shaded above the boundary line.

Answer:

Step-by-step explanation:

Answer:

( y + b - a - 3d)(y + b + a + 3d).

Step-by-step explanation:

y^2 + 2by + b^2 - a^2 - 6ad - 9d^2

= y^2 + 2by + b^2 - (a^2 + 6ad + 9d^2)

= (y + b)^2 - (a + 3d)^2

This is the difference of 2 squares so we have

(y + b - (a + 3d))(y + b + (a + 3d))

= ( y + b - a - 3d)(y + b + a + 3d)

Answer:

1.54

Step-by-step explanation:

The cotangent value is referred to as the reciprocal or the opposite of a given tangent value. Cotangent is also referred to as it's short form called cot

Mathematically, Cotangent (cot) = 1/tan

In the above question, we are given a value where:

tan = 33°

Cotangent (cot) = 1/tan 33°

Cotangent (cot) = 1.5398649638

We are told to approximate to the nearest hundredth

= 1.54

Answer:

377 choices

Step-by-step explanation:

From the above question, we are told that

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

M = Main meal = 8

D = Dessert = 5

a) The combination of the 3 choices together

AMD=6 × 8 × 5=240

b) AM= Appetizer and Main meal

= 6 × 8 = 48

c) AD= Appetizer and Dessert

= 6 × 5 = 30

d) MD = Main meal × Dessert

= 8 × 5 = 40

e) A,M,D (each alone)=

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19

Assuming all choices are available, how many different possible meals does the restaurant offer?

This is calculated as:

AMD + AM + AD + MD + A,M,D

240 + 48 + 30 + 40 + 19

= 377 choices

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

The correct statement is as follows;

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

The second sample was taken at random using a fair sampling technique.

Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.

A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.

Hence statements A, B, E, and F are true.

To learn more about probability, refer to the link: https://brainly.com/question/795909.

#SPJ2

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

[tex]\dfrac{14344}{10904} X 100[/tex]

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

Answerr:

Step-by-step explanation:

Answer:

Step-by-step explanation:

MNOP is a parallelogram             Given

PM // ON                                     opposite sides of parallelogram are parallel

∠ NOM = ∠ONP                          Alternate angles theorem

MN // OP                                  opposite sides of parallelogram are parallel

∠NOP =∠ MNO                     Alternate angles theorem

ON = ON                               common to both triangles ΔOMN & ΔONP

ΔOMN ≅  ΔONP                   ASA congruent

PM ≅ ON                          CPCT -Corresponding Part of Congruent triangle

Answer:

15=x

Step-by-step explanation:

a^2 + b^2=c^2

=9^2 +12^2 =x^2

=81 +144=x^2

=/225 =/x^2

=15=x

Answer:

x = 12

Step-by-step explanation:

Use the right triangle altitude theorem.

16/x = x/9

x^2 = 16 * 9

x^2 = 144

x = 12

Answer:

19-6x

Step-by-step explanation:

2/3(6-9x)+15

=4-6x+15

=19-6x

Answer:

Solution,

[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

x = 7.5

Step-by-step explanation:

2/3x + 2= 21/3

Subtract 2 from each side

2/3x + 2-2= 21/3-2

2/3x = 21/3 - 6/3

2/3x =15/3

2/3x = 5

Multiply each side by 3/2 to isolate x

2/3x * 3/2 = 5 *3/2

x = 15/2

Answer:

h(t)=-5t+-500

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i took the test

Answer:

See below

Step-by-step explanation:

Part 1 -

x: number of hours worked

y: total income

This is written as → y = f(x)

Part 2 -

y = 15*x

Part 3 -

f (35) = 15 × 35 = $525

f (29) 15 × 29 = $435

Week 1 - Ashley worked 35 hours with a total income of $525.

Week 2 - Ashley worked 29 hours with a total income of $435.  

Answer:

the slope is 2 and the y intercept is -2

Step-by-step explanation:

y=2x-2

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

the slope is 2 and the y intercept is -2