10. A boxer was able to land 10 punches in 4 rounds. At this rate, how many punches
would he land in 9 rounds? If you get stuck, consider using the table.
punches
round
10
4
1
9

Answer:

Yes, these triangles are congruent

∠E≅∠M

Step-by-step explanation:

Yes, these triangles are similar.

Proof:

Each side in LNM is \(1\frac{2}{3}\) times longer than the sides in GFE

\(30/18 = 1\frac{2}{3}\)

\(25/15=1\frac{2}{3}\)

\(20/12 = 1\frac{2}{3}\)

According CPCTC (corresponding parts of congruent triangles are congruent), angle E is similar to angle M.

Hope this helps :)

Have a good day!

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

An equation is an expression that shows the relationship between two or more numbers and variables.

A certain circuit is properly fused for a 5-horsepower motor. The number of motor, if several 5/8 horsepower motors is used is given by:

Number of motors = 5 hp ÷ (5/8 hp) = 8 motors

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

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Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Answer:

g(6) = 106 and f(4) = - 17

Step-by-step explanation:

g(x) = - 3x² - 2 and f(x) = - 4x - 1; f(4) and g(6)

Now,

g(x) = 3x² - 2

g(6) = 3(6)² - 2

= 3 × 36 - 2

= 108 - 2

g(6) = 106

Similarly,

f(x) = - 4x - 1

f(4) = - 4(4) - 1

= - 16 - 1

f(4) = - 17

Thus, g(6) = 106 and f(4) = - 17

-TheUnknownScientist

The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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Answer:

If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let s, b, n represent the current ages of Sarah, Bob, and Nellie, respectively.

  s = b/2 . . . . . . Sarah is half Bob's age

  2(s+3) = n+3 . . . . in 3 years, Nellie will be twice Sarah's age

  s + b + n = 38 . . . . . their ages now add to 38

__

We can rearrange the first two equations to find Bob and Nellie's age in terms of Sarah's. Then we can substitute into the third equation to find Sarah's age.

  b = 2s . . . . . . multiply the first equation by 2

  2s +3 = n . . . . subtract 3 from the second equation and simplify

  s +(2s) +(2s+3) = 38 . . . . substitute for b and n

  5s = 35 . . . . . . . . . . . . subtract 3, collect terms

  s = 7 . . . . . . . . . . . . divide by 5

  b = 2(7) = 14

  n = 2(7) +3 = 17

Sarah is 7, Bob is 14, and Nellie is 17.

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:

12 this is da a answer

12 twelve

Josh used 87 pounds of type B coffee in the blend.

What is equation?

An equation is a statement that two expressions are equal. It typically contains variables, which are quantities that can take on different values, and constants, which are quantities that have a fixed value. Equations can be used to describe relationships between different quantities and to solve problems by finding the values of variables that satisfy the equation.

For example, the equation 2x + 3 = 7 states that the expression 2x + 3 is equal to the expression 7.

Let's say that Josh used x pounds of type A coffee, and y pounds of type B coffee in the blend.

From the problem statement, we know that the total amount of coffee in the blend is 138 pounds, so x + y = 138.

The cost of the blend is $652.50, so 5.8x + 4.1y = 652.5.

We can use these two equations to solve for y, the number of pounds of type B coffee used.

First, we can solve for x in terms of y from the first equation,

x + y = 138

x = 138 - y

Then we can substitute this expression for x into the second equation,

5.8x + 4.1y = 652.5

5.8(138 - y) + 4.1y = 652.5

800.4 - 5.8y + 4.1y = 652.5

1.7y = 147.9

y = 87

Therefore, Josh used 87 pounds of type B coffee in the blend.

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Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

31/40

Step-by-step explanation:

Just simplify the fraction

Answer:

31/40

Step-by-step explanation:

Simplify

For the given graph:

And yes, it is a function.

For a given function y = f(x), the domain is the set of the inputs (possible values of x) and the range is the set of outputs (possible values of y).

To identify the domain we need to look at the x-axis (the horizontal one)

We can see in the left side that the first value is -2, whith a closed circle, meaning that the value belongs to the domain.

The right side is x = 0, with a open circle, which means that it does not belong to the domain.

Then the domain is D: [-2, 0)

Similarly, by looking at the y-axis (vertical axis) we can find the range which is:

R: [0, 2)

Finally, how to know if this is a function?

There is something called the "vertical line test". This test says that if you can't draw a vertical line that intersects the graph in two points or more, then it is a function.

And the graph clearly meets that test, so it is a function.

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Answer:

6000 lbs

Step-by-step explanation:

A ton is 2000 lbs

2000 x 3 = 6000

Answer:

xc + -4x

Step-by-step explanation:

The distributive property allows the multiplication of a sum by multiplying each addend separately and then sum those products.

With this in mind, let's apply the distributive property to the expression:

x (c - 4)

= x * c + x * (-4)

= xc +  -4x

Cheers.

Step-by-step explanation:

The average speed of the car is 360 / 4 = 90 mph. 90 - 15 = 75. 360 / 75 = 4.8 so the answer is 4 hours, 48 min.

Answer:If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse

The expression which has the greatest value is; Choice B: f(g(-2))

The value of g(f(-4)) when f(x)= 4x+5 and g(x) = 4x^2 -5x - 3 is; 586

Question 1;

From the information given;

Hence, from the options given; upon substitution, it follows that the expression with the greatest value is;

Question 2;

From the task content;

Hence, upon substitution of -4 into the function;

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The average T2, T7, T6, T4, and T10 in Processor 1

T8, T9, T3, T1, and T5 on Processor 2.

Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer: min is 360,000 km and max is 405,000 km

Step-by-step explanation:

a) There are 2 x 2 = 4 sample points in the sample space

b) Tree Diagram

O D.\nH\nHe\nT\nH\nT\n

Sample space: D. HH, HT, TH, TT

c) P(no tails) = P(HH)

= 1/4

d) P(exactly one tail) = P(HT, TH)

= 2/4

= 1/2

e) P(2 tails) = P(TT)

= 1/4

f) P(at least one tail) = P(HT, TH, TT)

= 3/4

In mathematics, tree diagrams are often used in probability and statistics to show all the possible outcomes of an event. In computer science, they are used to represent the hierarchical structure of files and directories in a file system

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Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer:

where it's at?? I need to see it

Answer:

A sample of at least 541 is needed if we wish to be 98% confident that our sample mean will be within 4 hours of the true mean.

Step-by-step explanation:

We are given that an electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours.

We have to find a sample such that we are 98% confident that our sample mean will be within 4 hours of the true mean.

As we know that the Margin of error formula is given by;

The margin of error =  \(Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }\)

where, \(\sigma\) = standard deviation = 40 hours

            n = sample size

            \(\alpha\) = level of significance = 1 - 0.98 = 0.02 or 2%

Now, the critical value of z at (\(\frac{0.02}{2}\) = 1%) level of significance n the z table is given as 2.3263.

So, the margin of error =  \(Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }\)

                 \(4=2.3263 \times \frac{40}{\sqrt{n} }\)

                 \(\sqrt{n}= \frac{40 \times 2.3263}{ 4}\)

                  \(\sqrt{n}=23.26\)

                   n = \(23.26^{2}\) = 541.03 ≈ 541

Hence, a sample of at least 541 is needed if we wish to be 98% confident that our sample mean will be within 4 hours of the true mean.