A football player gained x yards rushing. On the next down, he gained 32 yards. What expression represents the number of yards he gained altogether

Hi!

The answer to this question is:

32,217

I hope this helps!

Solution:

The numbers are given below as

To figure out the common ratio, we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

The type of sequence is GEOMETRIC

The common ratio is 2/5

The angles marked x in each of the polygons are 128° and 82° respectively.

Concave polygons are closed two dimensional figures whose at least one of the interior angle is more than 180 degrees.

The given polygons are named as ABCDEFGH and PQRSTU as shown below.

1) An interior angle and a corresponding exterior angles are supplementary.

Interior angle ∠B = 180° - 42° = 138°

Similarly,

Interior angle, ∠E = 180° - 34° = 146°

Also, angle around a point = 360°

Interior angle at G = 360° - 141° = 219°

Sum of the angles of a polygon = (n - 2) 180°, where n is the number of sides.

Here, number of sides, n = 8

x + 138° + 107° + 145° + 146° + 126° + 219° + 71° = (8 - 2) 180°

x + 952° = 1080

x = 1080 - 952

x = 128°

2) The dotted line implies that the shape is symmetrical.

∠Q = ∠U and ∠R = ∠T

∠Q = ∠U = 34°

Exterior angle at T = 87°

Interior angle at T = 360° - 87° = 273°

So ∠R = ∠T = 273°

Again number of sides, n = 6

x + 34 + 273 + 24 + 273 + 34 = (6 - 2) 180

x + 638 = 720

x = 720 - 638 = 82°

Hence the angle are 128° and 82°.

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Answer:

its (90,60) i took the test and got it right hope this helps :)

Step-by-step explanation:

Answer:

90,60 got a 100% on my test

Step-by-step explanation:

We can expand

\(f(x,y,z) = xy\ln(yz) = xy \ln(y) + xy\ln(z)\)

Then using the product and chain rules,

\(\dfrac{\partial f}{\partial x} = y\ln(y) + y\ln(z) + \boxed{y\ln(yz)}\)

\(\dfrac{\partial f}{\partial y} = x\ln(y) + \dfrac{xy}y + x\ln(z) = \boxed{x\ln(yz) + x}\)

\(\dfrac{\partial f}{\partial z} = \boxed{\dfrac{xy}z}\)

Answer:

0.30

Step-by-step explanation:

The 0 goes in the tenths place because it was 0.3/10 I hope this helps at all:)

Answer:

0.03

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

you subtract the highest number from the lowest number

Answer:

i think its 5 in the middle i think lol

Step-by-step explanation:

9514 1404 393

Answer:

  (c)  1/(36·a^4·b^10)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  a^-1 = 1/a

__

  \(\left(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\right)^{-1}=\dfrac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}=\dfrac{3^{-2}a^{-10}b^{-2}}{2^2a^{-6}b^8}=\dfrac{1}{3^22^2}a^{-10-(-6)}b^{-2-8}\\\\=\boxed{\dfrac{1}{36a^4b^{10}}}\)

Answer:

$15

Step-by-step explanation:

12+3+15

Answer:

Bill Amount: $12

Tip Percent: 25%

Divide By: 1  

= $15

The amount of cups of lemonade sold by Abbie is 6 x 8 = a.

Hence, option A is correct.

Use the concept of multiplication defined as:

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that,

Number of lemonade cups sold by Lust = 8

Number of lemonade cups sold by Abbie =  6 times of lust

Let 'a' represents the number of cups sold by Abbie,

Therefore,

6 x 8 = a

Hence,

The correct expression is 6 x 8 = a which is option A.

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The complete question is:

Luct sold 8 cups of lemonade Abbie sold 6 times as many cups of lemonade. Which equation helps us find how many cups Abbie sold if the number of cups sold by Abbie is 'a'.

A. 6x8 = a

B. 8xa = 6

C. 6xa = 8

Acceleration is the rate of change of velocity over time

His final velocity is 14.4 meters per second

From the question, we have:

Using the first equation of motion, we have:

\(v = u + at\)

So, the equation becomes

\(v = 0 + 1.8 * 8\)

\(v =14.4\)

Hence, the final velocity is 14.4 meters per second

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Simplifying

-3x + 25 = 52

Reorder the terms:

25 + -3x = 52

Solving

25 + -3x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.

25 + -25 + -3x = 52 + -25

Combine like terms: 25 + -25 = 0

0 + -3x = 52 + -25

-3x = 52 + -25

Combine like terms: 52 + -25 = 27

-3x = 27

Divide each side by '-3'.

x = -9

Simplifying

x = -9

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

The graph of the equation x2+y2=0 in the three dimensional space is (A) x-axis (B) y-axis (C) z-axis (D) xy-plane

Step-by-step explanation:

please mark me as the brainliest answer and please please pleaseeee follow me

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

The solutions are : solution of the following system of equations are:

(- 1/2, 1/2)

(- 1, 2)

Here, we have,

The given system of equations is expressed as

y = 2x²- - - - - - - - - - - - - - -1

y = - 3x - 1- - - - - - - - - -- - - -2

We would apply the method of substitution by substituting equation 1 into equation 2. It becomes

2x² = - 3x - 1

2x² + 3x + 1 = 0

We would find two numbers such that their sum or difference is 3x and their product is 2x².

The two numbers are 2x and x. Therefore,

2x² + 2x + x + 1 = 0

2x(x + 1) + 1(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

x = - 1/2 or x = - 1

Substituting x = - 1/2 into equation 1, it becomes

y = 2(-1/2)² = 1/2

Substituting x = - 1 into equation 1, it becomes

y = 2(-1)² = 2

Hence, The solutions are : solution of the following system of equations are:

(- 1/2, 1/2)

(- 1, 2)

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(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Step-by-step explanation:

          Steps                                     Property

x(1 + y) + y(2 + x)                           Given

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

Answer:

Cannot be factored

Step-by-step explanation:

Given

\(\frac{x^2}{9} + 1 + \frac{9}{x^2}\)

Required

Factorize

Take LCM

\(\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}\)

The expression cannot be factored

By calculating the slope of a line, it can be inferred that

The linear relationship between cup size and cost is proportional and the constant of proportionality is 0.30

First option is correct

What is slope of a line?

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\)  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

In a linear relation, the slope of the line is the constant of proportionality

Let the size of cup be taken as independent variable and cost of cup is taken as dependent variable

The line passes through (12, 3.60) and (16, 4.80)

Slope =

\(\frac{4.80 - 3.60}{16 - 12}\\\frac{1.20}{4}\\0.30\)

So the linear relationship between cup size and cost is proportional and the constant of proportionality is 0.30

First option is correct

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Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

Answer:

c

Step-by-step explanation:

To find the x-intercept, we set y to 0 and solve for x:

0 = x + 8

x = -8

Therefore, the x-intercept is -8.

To find the y-intercept, we set x to 0 and solve for y:

y = 0 + 8

y = 8

Therefore, the y-intercept is 8.

Hopes this helps

Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

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

Equation of circle:

The center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.

So the coordinates of the center are:

The equation is:

Answer:

\((x+8)^2+(y-8)^2=64\)

Step-by-step explanation:

Required conditions:

If the circle is tangent to both axes, its center will be the same distance from both axes.  That distance is its radius.

If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).

Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.

If the radius is 8 units, then the center is (-8, 8).

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:

\(\implies (x-(-8))^2+(y-8)^2=8^2\)

\(\implies (x+8)^2+(y-8)^2=64\)