Find the solutions to the equation -7(2y+8)=0

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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Answer:

Step-by-step explanation:

first: x+(1/4)

second: (-1/3 )x +1/4

third: (3/4)x +1/3

Answer:

Step-by-step explanation:

daddy

Answer:

b/2 min

Step-by-step explanation:

Answer:21

Step-by-step explanation:

because 9+10=21 if you are smart you should know this

Answer:

(-2,3) (-1, 5) (0, 7) (1, 9) (2, 11)

Step-by-step explanation:

y=2x+7

Substitute −2 for x and find the result for y.

y=2(−2)+7

Simplify 2(−2)+7.

y=3

Substitute −1 for x and find the result for y.

y=2(−1)+7

Simplify 2(−1)+7.

y=5

Substitute 0 for x and find the result for y.

y=2(0)+7

Solve the equation for y.

y=7

Substitute 1 for x and find the result for y.

y=2(1)+7

Solve the equation for y.

y=9

Substitute 2 for x and find the result for y.

y=2(2)+7

Solve the equation for y.

y=11

Hope this helps! :)

Answer:

7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]

Step-by-step explanation:

7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]7x7

4x+14

-M

X =

[?]v

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

158,400

Step-by-step explanation:

The measure of angle x is 57 degrees.

Remember that the sum of the measures of two adjacent angles is always equal to 180°.

Here we can see that the angle x° and 123° are adjacent, then we can write the linear equation:

x + 123° = 180°

Solving the equation for x, we will get.

x = 180° - 123°

x = 57°

That is the value of x.

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Answer:

C

Step-by-step explanation:

4^(4 x -1)

4^(-4)

1/4^4

The measure of angle Y, considering the similar triangles in this problem, is give as follows:

m < Y = 124º.

Similar triangles are triangles that share these two features listed as follows:

N and Y are the base angles, connecting the lateral segments, hence they are congruent.

As m < N = 124º, the measure of angle Y is given as follows:

m < Y = 124º.

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

 (c)  p = vm

Step-by-step explanation:

Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.

  p = vm

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

Answer:

-33-4x=-1(4x-7)

-33-4x=-4x+7.

-33-7=-4x+4x.

=-40.

No it doesn't form a triangle

Because The sum of the lengths of any two sides of a triangle is greater than the length of the third side.So Here

5 + 5 > 10

10> 10( false ) ❌

so it doesn't form a triangle.

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

x to the second power minus x minus 6 can be expressed below

Therefore, the quadratic equation can be factorise as follows

Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

The logarithm equation in exponential form is x⁷ = 60

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

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The maximum number of the data points that may not actually be on the line is 15

The number of points is given as:

Points = 15

A line of best fit implies that the model is a regression model

In a regression model, all the data points may not pass through the line of best fit.

This means that the maximum number of the data points that may not actually be on the line is 15

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Answer:

5 weekends

Step-by-step explanation:

Felicia already has 60$ of her goal of 189$ so 189-60=129

129/30=4.3

Felicia would need to work exactly 4.3 weekends to make up her goal, but you cant split a weekend into decimals, so we round up to the next whole number which is 5.

Answer:

she needs to work a minimum of 5 weekends

Step-by-step explanation:

60 + 30w ≥ 189

30w ≥ 129

w ≥ 4.3

The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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Answer:

The true statements are A , B , E

Step-by-step explanation:

Lets explain how to solve the problem

- In the synthetic calculation we use the coefficient of the dividend

 with the factors of the function

∴ 2 , -2 , -12 are the coefficient of the dividend 2x² - 2x - 12

∵ The divisor is 3

∴ x = 3 is a root of F(x) = 2x² - 2x - 12

∵ x = 3 is the root of F(x) = 2x² - 2x - 12

- Subtract the two sides by 3

∴ x - 3 = 0

∴ (x - 3) is a factor of the dividend F(x) = 2x² - 2x - 12

- The quotient is the last line of the synthetic division

∴ The coefficients of quotient are 2 , 4

- The quotient is 1 degree less than the dividend

∵ The degree of the dividend is 2

∴ The degree of the quotient is 1

∴ The quotient is 2x + 4

* Lets check the answers to chose the write statements

A. The number 3 is a root of F(x) = 2x² - 2x - 12 ⇒ true

B. (x - 3) is a factor of 2x² - 2x - 12 ⇒ true

E. (2x² - 2x - 12) ÷ (x - 3) = 2x + 4 ⇒ true

* The true statements are A , B , E

(p.s your a pog if you read this quote)

Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

Given;

\(\frac{1}{4}\div \:4\)

Solve;

\(\mathrm{Convert\:element\:to\:fraction}:\quad \:4=\frac{4}{1}\)

\(=\frac{1}{4}\div \frac{4}{1}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(\frac{1}{4}\times \frac{1}{4}\)

\(\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(=\frac{1\times \:1}{4\times \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\)

\(=\frac{1}{4\times \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:4\times \:4=16\)

\(=\frac{1}{16}\)

Number line given below:

~Learn with Lenvy~

The answer is option (a) (6, 16) are the coordinates of B.

What are the coordinates?

To find the coordinates of B', we need to apply the dilation with a scale factor of 4 to the coordinates of B.

The dilation with center at the origin and a scale factor of 4 multiplies each coordinate by 4. So, the coordinates of B' are:

B'(x, y) = (4 * 1.5, 4 * 4) = (6, 16)

Therefore, the answer is option (a) (6, 16).

What is scale factor?

A scale factor is a number that scales, or multiplies, some quantity. In geometry, the scale factor refers to the ratio of the corresponding side lengths of similar figures. It is used to determine the relationship between the corresponding sides of two similar geometric figures.

For example, if two figures are similar, then the scale factor is the ratio of the length of a corresponding side of one figure to the length of the corresponding side of the other figure. If one figure is an enlargement or reduction of the other, the scale factor is the ratio of the lengths of the corresponding sides.

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Complete question is: Triangle ABC has coordinates A(0, 0), B(1.5, 4), and C(3, 0). A’B’C’ is the image of ABC after a dilation with center at the origin and a scale factor of 4. the coordinates of B are (6, 16).

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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