Find the missing value so that the two
points have a slope of 2/7
.
(–1, –1) and (x,1)

Answer:

10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer

Step-by-step explanation:

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

\(y-y_1=m(x-x_1)\)

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

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Answer:

Area of square = (side)^2 = 5476 sq.cm

side = √5476 sq.cm

side = √(74 cm)^2

side = 74 cm

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Since it's a square, all the sides are the same. Just square root 5476.

Answer:

24.4%

Step-by-step explanation:

Answer:

we need a pic of the graph to be able. to work this out.

THANK YOU

Answer:

It's 5.

Step-by-step explanation:

8-3= 5

The sine and cosine of an angle are the ratio of the opposite side and adjacent side of the reference angle to the hypotenuse side respectively

The completed statement is presented as follows;

The terminal point's horizontal distance to the right of the center of the circle is 0.921875 times as large as the radius of the circle, and therefore: cos(θ) = 0.921875

The terminal point's vertical distance above the center of the circle is 0.390625 times as large as the radius of the circle, and therefore, sin(θ) = 0.390625

Reason:

Known parameters are;

The radius of the circle, R = 3.2 cm

The terminal point's horizontal distance to the right of center of the circle, x = 2.95 cm

The number of times x is larger than R, nₓ is given as follows;

\(n_x = \dfrac{2.95}{3.2} = 0.921875\)

Therefore;

\(cos(\theta) =\dfrac{x}{R} = 0.921875\)

The terminal point's vertical distance above the center of the circle, y = 1.25 cm

The number of times y is larger than R, \(n_y\), is given as follows;

\(n_y = \dfrac{1.25}{3.2} = 0.390625\)

The number of times y is larger than R, \(n_y\) = 0.390625

Therefore;

\(sin(\theta) =\dfrac{y}{R} = 0.390625\)

sin(θ) = 0.390625

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The total volume of barley Joyce Johnson has in the two open containers is 5 lb 4 oz.

This is the unit of a three-dimensional measure of space that comprises a length, a width and a height. It is measured in units of cubic centimeters in metric, cubic inches or cubic feet.

Total barley in the containers = container 1 + container 2

= 3lb 15oz + 1lb and 5oz

= 4 lb 20 oz

16 oz = 1 lb

20 oz = 1 lb 4 oz

So,

4 lb 20 oz

= 5 lb 4 oz

Therefore, the total volume of barley Joyce Johnson has in the two open containers is 5 lb 4 oz

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Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer:

b

Step-by-step explanation:

y=-2x+10

y=-2×0+10 y=10

y=-2×1+10 y=8

y=-2×2+10 y=6

y=-2×3+10 y=4

Answer: B. y = –2x + 10

Step-by-step explanation:

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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It should be noted that 768 hand-held color televisions can be sold at $320 per television.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

It should be noted that to find the number of hand-held color televisions sold at $320 per television, we need to substitute p = 320 into the supply model or demand model and solve for N.

Using the supply model:

N = 2.4p = 2.4(320) = 768

Therefore, at a price of $320 per television, the supplier is willing to produce 768 hand-held color televisions per week.

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Answer:

d

Step-by-step explanation:

just made a 100

The statement "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the confounding variable.

A confounding variable is a third variable used to examine research based on a cause and effect relationship.

Therefore, we have determined that statement D "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the effect of the confounding variable.

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Answer:

a. 12 cm

Step-by-step explanation:

Since the squares have a side length of 2 cm, all sides of the squares are 2cm(See 1st image).

Combine those two squares to form a rectangle(See 2nd image)

Now you can add the two sides that say 2 cm in order to make a

4 cm side(See 3rd image)

Now, add all sides up: 4 + 4 = 8  ==> the 2 long sides

2 + 2 = 4  ==> the 2 short sides

8 + 4 = 12 cm ==> total length

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer: A

Step-by-step explanation:

Formula for inverse of a matrix is:

\(A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\qquad \rightarrow \qquad A^{-1}=\dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]\)

\(A=\left[\begin{array}{cc}2&5\\3&8\end{array}\right] \qquad \rightarrow \qquad A^{-1}=\dfrac{1}{2(8)-5(3)}\left[\begin{array}{cc}8&-5\\-3&2\end{array}\right]\\\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \quad =\dfrac{1}{1}\left[\begin{array}{cc}8&-5\\-3&2\end{array}\right]\\\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \quad =\left[\begin{array}{cc}8&-5\\-3&2\end{array}\right]\)

We have that  Option A is the correct option as its the correct in verse of the Matrix A

From the question we are told that:

\(A= \begin{vmatrix}2 & 5 \\3 & 8\end{vmatrix}\)

Inverse of a Matrix

The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is A^{-1}, and A.A^{-1} = I.

Therefore the inverse of the Matrix A is

\(A= \begin{vmatrix}2 & 5 \\3 & 8\end{vmatrix}\)

Giving

\(A^{-1}= \begin{vmatrix}8 & -5 \\-3 & -2\end{vmatrix}\)

In conclusion

The correct Option is Option A as its the correct in verse of the Matrix A

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In conclusion

Considering the expression of a line, the equation of the line that passes through the points (-1,5) and (2,-7) is y= -4x +1.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in  y = mx + b, the value of the ordinate to the origin can be obtained.

In this case, being (x₁, y₁)= (-1, 5) and (x₂, y₂)= (2, -7), the slope m can be calculated as:

m= (-7 - 5)÷ (2 - (-1))

m= (-7 - 5)÷ (2 + 1)

m= (-12)÷ 3

m= -4

Considering point 1 and the slope m, you obtain:

5= (-4)× (-1) + b

5= 4+b

5 -4= b

1= b

Finally, the equation of the line is y= -4x +1.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

a must be equal to zero for the given equation to be true.

The given polynomial can be written in the form \($(x-1)(x+1) = 0$\). This expression can be equated to zero to solve for $x$. By equating it to zero and solving, we can find that \($x = 1$\) and \($x = -1$\). We can substitute each of these values into the given equation and solve for $a$.

Forx = 1:

\($a(1)^{17}b(1)^{16}1 = 0$ \\ $a\cdot 1 \cdot b \cdot 1 \cdot 1 = 0$\\$a \cdot b = 0$\)

Therefore, $a$ must be equal to zero for the given equation to be true.

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Answer: 26 × 4

Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.

Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.

Answer:

B.  26⁴

Step-by-step explanation:

If the password is 4 letters long and he can repeat letters then:

Therefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:

⇒ 26 × 26 × 26 × 26 = 26⁴

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

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Step-by-step explanation:

let no of motorcycles be m and no of cars be c

4c + 2m = 124 --(1)

c + m = 39

c = 39 - m --(2)

sub (2) into (1):

4(39 - m) + 2m = 124

156 - 2m = 124

2m = 32

m = 16

therefore, c = 23

23 cars

Topic: simultaneous eqn + forming algebraic equations

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Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

A (7,7)

B (10,4)

C (6,5)

Step-by-step explanation:

The translation rule shows that you have to move the coordinates 9 units right on the x axis, and 3 units up on the y axis.

Answer:

Step-by-step explanation:

Answer:

D: 14.5

Step-by-step explanation:

4.1 = d - 10.4    add 10.4 to each side

14.5 = d

Answer:

14.5

Step-by-step explanation:

10.4 - 4.1 = 14.5

Answer:

h(x)

Step-by-step explanation:

The function h(x) has the greatest y-intercept. The y-intercept of a function in the value where the function intersects the y-axis.

The function f(x) is in slope-intercept form. This is f(x)=mx+b, where b is y-intercpet. So, the y-intercept of the function is 2.

For the second function, g(x), you can see the y-intercept by looking at the graph. The function intersects the y-axis at -3.

Finally, the last function is a sin function. For this sine function you can tell the y-intercept is 3 because that is where the midline is (based on the k value).

Answer:

should be 1305 yd^2

Step-by-step explanation:

to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together

Answer:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).

FOR EXAMPLE

5/10 = 1/2

HERE 1/2 IS THE SIMPLEST FRACTION