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Answer:

[tex]\frac{35(1 + 35)}{2}[/tex]

Step-by-step explanation:

Given:

The attached

Required

Find the equivalent expression

The interpretation of is to add the sequence:

n = 1,2,3,......35

This can be done using the following formula (Sum of n terms of an AP)

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]

T1 is the first term; [tex]T_1 = 1[/tex]

Tn is the last term; [tex]T_n = 35[/tex]

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes

[tex]S_n = \frac{35}{2}(1 + 35)[/tex]

[tex]S_n = \frac{35(1 + 35)}{2}[/tex]

From the list of given options;

Option A is correct

[tex]\frac{35(1 + 35)}{2}[/tex]

Answer: Experimental probability

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously​ as shown below. The sample space will have 4 outcomes.

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Answer:

radius is 12, diameter is 24

Step-by-step explanation:

it is a 15-12-9 triangle

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

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Answer:

[tex]14.\:\:\overline{RT}=3.3\:ft[/tex]

Step-by-step explanation:

Using the definition of similar triangle, we have the equation for problem no. 14 as:

[tex]\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3[/tex]

Best Regards!

Answer:

Multiply value in mm by 1000

Step-by-step explanation:

For example, 3m = (3 * 1000)mm

                            = 3000mm

Answer:

multiply by 1000

Step-by-step explanation:

1m = 1000mm

If i need convert meter en mikimeters

i multiply meter by 1000, example:

7 meters:

7 * 1000 = 7000 milimeters

another example:

4.75m = 4.75*1000 = 4750  milimeters

Answer:

Center : (0,-2), R=6

Step-by-step explanation:

x² + y² + 4 y = 32

x² + y² +4 y+4=36

x² + (y+2)²=36

Center : (0,-2), R=6

Answer:

1 3/8 lbs.

Step-by-step explanation:

3 1/4 x 1/2 = 1 5/8

1 5/8-1/4=

1 5/8-2/8=

1 3/8

Answer:

1 surds

2 fraction

3 decimal

4 negative

5 positive

Answer:

Hope this helps

Step-by-step explanation:

For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:

The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:

So our system is:

Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.

Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.

Answer:

Hope the picture helps

Answer:

The correct option is;

(C) 28

Step-by-step explanation:

The information given are that;

The total number of students = 1000

The number of students in each row are consecutive positive numbers

Let the number of students in the first row be x,

Let the number of rows be 17

We have;

The number of students in  the last row = x + 16

The number of students in  the penultimate row = x + 15, we continue  to get;

n×x + n/2×(n-1) = 1000

(The term n/2×(n-1) is from the sum of an arithmetic progression formula)

Which gives;

17×x + 17/2×16 = 1000

17×x = 1000 - 17/2×16 = 1000 - 136 = 864

x = 864/17 = Which is not an integer,

We continue checking till we get to 25 rows which gives;

25×x + 25/2×24 = 1000

25×x + 300 = 1000

25×x  = 1000 - 300 = 700

x = 700/25 = 28

The number of student in the first row = 28 students.

Answer:

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Step-by-step explanation:

Answer:

  m∠ABC = 90°

Step-by-step explanation:

Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.

We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...

  m∠ABC = m∠ADC = 90°

Answer:

490,314

Step-by-step explanation:

This is a combinations problem.  The formula is n!/(n-r)!xr!

This is 23!/(23-8)!x8!=

23!/15!x8!=

19,769,460,480/40,320=

490,314

Using the combination formula, it is found that the classes can be chosen in 490,314 ways.

The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 8 classes are chosen from a set of 23, hence:

[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]

The classes can be chosen in 490,314 ways.

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The only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.

A linear equation that represents a line that has m as slope and b as y-intercept is given as y = mx + b.

Therefore, the line that represents the linear equation of the function, y = 2x + 1 , will have a slope of 2 and a y-intercept of 1.

Thus, the only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.

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Answer:

this will be the first graph

A

Step-by-step explanation:

Answer:

8 ft

Step-by-step explanation:

Use pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]. Put 10 and 6 into the equation as b and c.

[tex]a^{2}+6^{2}=10^{2}[/tex]

[tex]a^{2} =100-36\\a^{2}=64\\a=8[/tex]

Therefore, the answer is 8ft.

A diagram is attached. Sorry it's kinda messy.

Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The height of the window from the ground or the base of the building is 8 feet.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the length of the ladder is 10 feet, while the distance between the base of the ladder and the building is 6 feet. Therefore, the height of the window from the base is,

(Length of the ladder)² = (Length between the two)² + (Height)²

(10 feet)² = (6 feet)² + (Height)²

(Height)² = 100 - 36

Height = 8 feet

hence, the height of the window from the ground or the base of the building is 8 feet.

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Answer:

A) 90 degrees

B) 110 degrees

C) 78.5 in. sq.

D) 15.3 in. sq.

Step-by-step explanation:

A) 90 degrees by the two-tangent theorem

B) 360-90-90-70=110

C) A=pi r-squared

A=3.14x5x5

A=78.5

D) 70/360=0.1944

78.5x0.1944=15.3

Answer:

2.25

Step-by-step explanation:

x/1 = (9+x)/5

9 + x = 5x

9 = 4x

x = 2.25

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

171

Step-by-step explanation:

If five test scores have a mean of 90, then the total 5x90=450.  We already have the middle score (91) and the two top scores (94 and 94).  So the equation is 450-91-94-94=171

Answer:

B) 29%

Step-by-step explanation:

First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.

Answer:

B. 29%

Step-by-step explanation:

Percentages can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

We have to find the percentage of the drive she has left.

Therefore, the part is the miles she has left and the whole is the total trip.

(miles left/total trip) * 100

First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.

total - miles driven

She has 850 total miles and has driven 600 miles.

850-600

250

She has 250 miles left.

Now we know the miles she has left.

(miles left/total trip) * 100

miles left = 250

total trip= 850

(250/850) * 100

Solve inside the parentheses first. Divide 250 by 800.

(0.29411765)*100

Multiply

29.411765

Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.

29

Therefore, she has about 29% of her trip left.

Answer:

horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.

Step-by-step explanation:

a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.

Answer:

I agree with Lambina and added this answer so she could get brainliest

Step-by-step explanation:

Answer:

40 teachers.

Step-by-step explanation:

We are to find the number of teachers (staff) who attended the excursion).

For every 2 staff, there are 15 students

The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex]  × 340 = 40 teachers

The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

Answer:

The answer is option C

Step-by-step explanation:

104

E 6

x = 1

Write the number as a product with the factor 1

104

E 6 × 1

n = 1

Rewrite the sum

That's

104

6 × E 1

n = 1

Find the sum of n terms of 1 using the formula

n

E 1

k= 1

Which is

6(104) = 624

Hope this helps you

Answer:

  6(104) = 624

Step-by-step explanation:

The summation symbol ...

  [tex]\sum\limits_{n=1}^{104}{\text{expression}}[/tex]

means that the expression is evaluated for n=1, n=2, n=3, n=4, ... up to n=104 and all of those are added together. Here, the expression being evaluated is "6", which does not depend on n. So, this is simply the sum of 104 instances of 6:

  6 +6 +6 +6 ...+6 . . . . 104 terms in the sum

As we know, repeated addition can be accomplished by multiplication:

 = 6(104) = 624

Answer:

Area = [tex]\frac{1}{2} (6)(6)[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Base = 6 , Height = 6

Area = [tex]\frac{1}{2} (6)(6)[/tex]

Area = 3 * 6

Area = 18 units^2

Answer:

Hey there!

The area of the shaded triangle covers exactly half the square.

Thus, first we find the area of the square, which is 6x6, or 36.

Finally, half of that is 1/4 times 6x6.(Fraction 1 over 2 •6•6 is correct)

Let me know if you need more help :)

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars

Answer:

The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!