The numbers -12, -7, -2, 3 follow a pattern. What are the next three numbers in this pattern?

Answer:

It's C!

Step-by-step explanation:

4-2=2

8/2=4

Hope this helps and don't forget to follow!

Answer:

c.4

Step-by-step explanation:

plug in 2

=8/ 4-2

=8/2

=4

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.

SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.

In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.

Thus, by the SSS similarity theorem,

\(\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77\)

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

Learn more about the SSS similarity theorem here;

https://brainly.com/question/21247688

Answer:

77

Step-by-step explanation:

Answer:

ABD ~= CBE

Step-by-step explanation:

Answer:

1/104

Step-by-step explanation:

The probability of choosing a red king is 2/52 since there are only two red kings in a deck of 52 cards...the probability of choosing a club would be 13/52 since there are 13 club cardsin a deck of 52 cards

Therefore the probability of choosing both by replacing the king would be 2/52 × 13/52 giving us 1/104

Answer:

50 feet below sea level. First, look for keywords. The word “below” means you will need to use a negative integer. The answer is -50.

Step-by-step explanation:

hope this helps...

(─‿─)

Negative integers are used to represent values below zero, and in this context, "-50" represents a depth of 50 feet below the sea level.

In the context of sea level and vertical position, we often use positive and negative numbers to represent positions above or below a reference point, which is usually considered to be sea level.

When we say the diver is 50 feet below sea level, it means the diver is at a depth of 50 feet under the surface of the sea. In this case, we use negative numbers to represent positions below sea level.

So, if we consider sea level as the reference point (zero level), the number line extends in both positive and negative directions. Positive numbers represent positions above sea level, and negative numbers represent positions below sea level.

Since the diver is 50 feet below sea level, we represent this as -50. The negative sign indicates that the diver is below the reference point (sea level), and the absolute value of 50 represents the depth of 50 feet.

Therefore, the integer -50 correctly represents the situation of a diver being 50 feet below sea level.

To know more about sea level.

https://brainly.com/question/29898031

#SPJ2

Answer:

29 adults went to the zoo

158 children went to the zoo

Explanation:

Let x represent the number of adults that went to the zoo

Let y represent the number of children that went to the zoo

From the question, we can go ahead and set up the below system of equations;

We'll go ahead and solve the above system of equations simultaneously following the below steps;

Step 1: Express y in terms of x in Equation 1;

Step 2: Substitute y in Equation 2 with (187 - x) and solve for x;

So 29 adults went to the zoo

Step 3: Substitute x in Equation 3 with 29 and solve for y;

So 158 children went to the zoo

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

Learn more about degrees of freedom

brainly.com/question/32093315

#SPJ11

There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

Learn more about  t-test

https://brainly.com/question/13800886

#SPJ11

Answer: x=3/2

Step-by-step explanation:

-4(2-3x)=7-2(x-3)

-4(-3x+2)=7-2(x-3)

12x-8=7-2(x-3)

ok im done but im tired thats all im doin but tips: just copy it and past it and look it up. That simple

Answer:

x=21/24

Step-by-step explanation:

-4(2-3x)=7-2(x-3)

-8+12x=7-2x+6

12x=7-2x+14

24x=21

x=21/24

-

Answer:

Esmeralda added the numerators; Esmeralda added the denominators; Esmeralda did not use the reciprocal of the divisor

Step-by-step explanation:

-5 1/4 divided by 3/2 = -7/2

The same goes for the second fraction.

For the -21/4 and the 3/2 with the parenthesis, they added the numerators and denominators when they should've multiplied.

And they did not use the reciprocal of the divisor because -21/4 divided by 3/2 would mean that you would have to multiply -21/4 by 2/3 not 3/2.

The equation of the sine function with an amplitude of 5, period of π, phase shift of 2 units right, and vertical shift of 1 unit down is y = 5sin(2x - 2) + 1.

To write the equation of a sine function in the form y = Asin(ωx - ϕ) + B with the given characteristics, we can assign the values as follows:

Amplitude (A) = 5

Period (P) = π

Phase Shift (ϕ) = 2 units right

Vertical Shift (B) = 1 unit down

First, we determine the frequency (ω) using the formula ω = 2π/P. In this case, P = π, so ω = 2π/π = 2.

Now we have all the necessary values to write the equation:

y = 5sin(2x - ϕ) + B

Substituting the phase shift value (2 units right) into the equation, we get:

y = 5sin(2x - 2) + 1

Therefore, the equation of the sine function with the given characteristics is y = 5sin(2x - 2) + 1.

To learn more about amplitude visit:

https://brainly.com/question/413740

#SPJ11

The work done by the gas during the isothermal expansion is 331.32 J.

Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).

The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.

Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w

where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q

During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.

Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J

Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J

Thus, the work done by the gas during the isothermal expansion is 331.32 J.

Know more about Isothermal Expansion here,

https://brainly.com/question/30329152

#SPJ11

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

Learn more about permutations at

https://brainly.com/question/12468032

#SPJ4

The general equation for a circle is:

\((x-h)^2+(y-k)^2=r^2\)

Where the center is (h,k) and the radius is r.

The equation we are given is:

\((x-2)^2+(y+3)^2=80\)

From this, the center is (2,-3), and the radius is \(\sqrt{80}\), or \(4\sqrt{5}\).

Let me know if you have any questions, thanks!

Answer:

m`/_DAB` will be equal to m`/_CAB`.

Step-by-step explanation:

Correct on edmentum.

Answer:

Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards

Step-by-step explanation:

Answer:

.khSv/LHGV?LAJDg"Oza/lhoAUFDB?AKDUFGK

Step-by-step explanation:

LQHEGPiqlahb:ilsDYHLBiyqgAeiylfhv zlsfiv lolololol lamo laom

Answer:

CD = -2x

Step-by-step explanation:

Negative reciprocal

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

Learn more about expression here:

https://brainly.com/question/28170201

#SPJ11

Answer:

0.875

Step-by-step explanation: hoped i helped ^-^

Achieve a utility level of 2, we substitute the values of x and y into the utility function u(x, y) = √x + √y and set it equal to 2. Then, solve for I to find the required income.

To compute the expenditure function, we need to find the minimum expenditure required to achieve a given level of utility. In this case, the utility function is given as u(x, y) = √x + √y.

Let's denote the expenditure function as e(pₓ, pᵧ, u), where pₓ and pᵧ are the prices of goods x and y, respectively.

To find the expenditure function, we need to solve the utility maximization problem subject to the budget constraint.

The budget constraint equation is given by: pₓx + pᵧy = I, where I is the income.

Since the utility function is increasing in both x and y, the consumer will spend all their income to maximize utility. Therefore, the budget constraint becomes an equality: pₓx + pᵧy = I.

Now, let's solve the utility maximization problem by using the Lagrange multiplier method. We set up the following Lagrangian function:

L(x, y, λ) = √x + √y - λ(pₓx + pᵧy - I)

Taking partial derivatives with respect to x, y, and λ, and setting them equal to zero, we get the following equations:

(1/2√x) - λpₓ = 0 (1)

(1/2√y) - λpᵧ = 0 (2)

pₓx + pᵧy - I = 0 (3)

From equation (1), we have:

√x = 2λpₓ (4)

From equation (2), we have:

√y = 2λpᵧ (5)

Squaring both sides of equations (4) and (5), we get:

x = 4λ²pₓ² (6)

y = 4λ²pᵧ² (7)

Substituting equations (6) and (7) into equation (3), we have:

4λ²pₓ³ + 4λ²pᵧ³ - I = 0

Simplifying, we get:

λ²(pₓ³ + pᵧ³) = I/4

Solving for λ, we have:

λ = √(I / (4(pₓ³ + pᵧ³)))

Substituting the value of λ back into equations (6) and (7), we can find the values of x and y in terms of I.

Finally, to achieve a utility level of 2, we substitute the values of x and y into the utility function u(x, y) = √x + √y and set it equal to 2. Then, solve for I to find the required income.

Note: Due to the complexity of the calculations involved, providing a numerical solution for the income would be more appropriate.

Learn more about Equation here,https://brainly.com/question/29174899

#SPJ11

Answer:

2/11

Step-by-step explanation:

These are division problems.

\( \frac{1}{2} \div 2 \frac{3}{4} \)

convert 2 3/4 to an improper fraction. 4 x 2 + 3

\( \frac{1}{2} \div \frac{11}{4} \)

keep change flip

\( \frac{1}{2} \times \frac{4}{11} \)

cancel the 2 and 4. the 2 becomes a 1 and the 4 becomes a 2

\( \frac{1}{1} \times \frac{2}{11} \)

multiply

\( \frac{2}{11} \)

When 3 is the input, the output is 10. When 10 is the input, the output is 15.

It should be noted that the input for the function is time, measured in hours. The output of the function is energy usage, measured in kilo watts.

From the information, the energy usage of a light bulb is a function. The input for the function is time measured in hours. The output of the function is energy usage, measured in Kilo watts. E (energy) is a function of t (time).

The graph of the function will show energy usage on the y axis and time on the x axis.

Learn more about energy on:

https://brainly.com/question/11577594

#SPJ1

When a cone with a volume of 5000 m³ is dilated by a scale factor of 15, the volume of the resulting cone is 3375000 m³.

The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. Since the scale factor of 15 applies to all dimensions of the cone, the new radius and height will be 15 times the original values. Let's assume the original cone has radius r and height h.

After dilation, the new cone will have a radius of 15r and a height of 15h. Plugging these values into the volume formula, we get

V' = (1/3)π(15r)²(15h) = (1/3)π(15²)(r²)(h) = 3375V.

Given that the original cone has a volume of 5000 m³, we can calculate the volume of the resulting cone by multiplying 5000 by 3375:

V' = 5000× 3375 = 3375000 m³.

Therefore, the volume of the resulting cone, after being dilated by a scale factor of 15, is 3375000 m³.

Learn more about volume of a cone here:

https://brainly.com/question/16419032

#SPJ11

Answer:

If the figure is a rhombus then the figure is not a square

Step-by-step explanation:

Hope this helped, Have an amazing day!

As per the unitary method, there are 64.29 weeks does it take to empty the lake.

The term unitary method is known as a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here we have given that officials begin to release water from a full man-made lake at a rate that would empty the lake in 12 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.

And we need to find the number of weeks does it take to empty the lake

While we looking into the given question, we have identified the following values,

=> Empty rate = 1/18 job/week

=> Fill rate = 1/25 job/week

Then together rate is written as 1/x

Then the equation of the given situation is written as,

=> rate - rate = together rate

When we apply the values, then we get,

=> 1/18 - 1/25 = 1/x

Now we have to multiply thru by 18*25x, then we get,

=> 25x - 18x = 18*25

=> 7x = 18*25

Therefore, x = 64.29 weeks.

To know more about Unitary method here.

https://brainly.com/question/28276953

#SPJ4

To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

To know more about curve follow the link:

https://brainly.com/question/31012623

#SPJ11

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

Learn more about player

brainly.com/question/29660844

#SPJ11

The true statements are:

This refers to the type of statement that is considered to be valid or verifiable based on a set of information and evidence.

Hence, we can note that the other true statement is contained in option E. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.

Read more about percentages here:

https://brainly.com/question/24304697

#SPJ4

Answer:

B

C

E

Step-by-step explanation:

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

To learn more about the binomial expansion visit:

https://brainly.com/question/31363254.

#SPJ2

Answer:

Multiplying by

\( \frac{4}{3} \)

Step-by-step explanation:

\( \frac{4}{5} \div \frac{3}{4} \)

\( = \frac{4}{5} \times \frac{4}{3} \)

Answer:

multiplying by 4/3

Step-by-step explanation:

"keep-change-flip"

1. "keep" the 4/5

2. change the division sign to multiplication sign

3. flip the fraction 3/4, to 4/3