Ben brought a total of 11 pizzas for his class party the amount of larage pizza was one less than twice the amount of medium . How many large and how many medium pizzas did he buy?

The volume of the composite figure is

The volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes

The simple shapes used here include

Volume of rectangle = length x width x depth

= 30 * 9 * 7

= 1890 cubic yd

Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth

= 1/2 (30 + 19) x 10 x 9

= 2205 cubic  yd

Total volume

= 1890 cubic yd + 2205 cubic yd

=  4095 cubic yd

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Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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Step-by-step explanation:

if 4 men did the job in 12 days , then each of the 4 men worked for 12 days , which means they worked for 4*12=48 days , so the job takes 48 work days to complete. If all men work at the same rate, then these other 6 will complete the job in

\( \frac{48}{6} = 8 \frac{days}{man} \)

Therefore, it’ll take the group of 6 men 8 days to complete the job.

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Answer:

The unit rate would be 38 miles per hour

Step-by-step explanation:

If you divide 228 by 6 you would get 38 and to further prove this do 38 x 6 and your answer would be 228

Answer: The cost for the total trips is $14. The amount of trips that Wanda can make is a maximum of 7 to equal the amount.

Step-by-step explanation:

First, make the amount of trips, x

Step 1. $32 = $18 + $2x

Step 2. ($32 - $18) = ($18 - $18) + $2x

Step 3. $14 = $2x

Step 4. $14 / $2 = $2x / $2

Step 5. $7 = x

Step 6. $32 = $18 + ($2 * 7)

Step 7. $32 = $18 + $14

Step 8. Check for the equation. $32 = $32

(correct me if im wrong)

Answer:

x = 1

Step-by-step explanation:

5(2x - 8) + 15 = -15

First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.

5(2x - 8) + 15-15 = -15-15

5(2x-8) + 0 = -30

5(2x-8) = -30

Now let's expand that first term.

5(2x)-5(8) = -30

10x - 40 = -30

Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.

10x - 40 + 40 = -30 + 40

10x -0 = 10

10x = 10

Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.

10x/10 = 10/10

x = 1

The answer is x = 1.

Let's check if our answer is correct!

Original equation: 5(2x - 8) + 15 = -15

Substitute 1 for x.

5(2*1-8) + 15 =

5(2-8) + 15 =

5(-6) + 15 =

-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.

Answer:

210 cm^2

Step-by-step explanation:

Area1:

6*3 = 18 cm^2

Area2:

6*7 = 42 cm^2

Area3:

6*5 = 30 cm^2

Area4:

6*11 = 66 cm^2

Area5 (*2):

(11+7)*3*1/2

18*3*1/2

54*1/2

27 cm^2 (*2) = 54 cm^2

54 + 66 + 30 + 42 + 18 = 210 cm^2

Answer:

Step-by-step explanation:

The sequence of the problem above is an arithmetic sequence

For an nth term in an arithmetic sequence

F(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

To find the equation first find the common difference

0.65 - 0.5 = 0.15 or 0.80 - 0.65 = 0.15

The first term is 0.5

Substitute the values into the above formula

That's

f(n) = 0.5 + (n - 1)0.15

f(n) = 0.5 + 0.15n - 0.15

The final answer is

Hope this helps you

Answer:

Step-by-step explanation:

Took the math test on edge

The value of x from the system of equation will be 1 and 8 and the proportion equivalent is x² - 9x + 8 =0.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

Given the expression 1/2+1/2x=x² - 7x+10/4x

Multiply the first term by 2x/2x  and second term by 2/2 to have:

2x/4x + 2/4x = (x² - 7x+10)/4x

Multiply through by 4x to have:

2x+2=x² - 7x+10

Collect the like terms and factorize

x² - 7x+10-2x-2=0

x²-9x+8=0

Now factorize the given equation

x²-8x-x+8=0

x(x-8)-1(x-8)

(x-1)(x-8)=0

x=1 and x=8

Hence, the value of x from the system of equation will be 1 and 8 and the proportion equivalent is x² - 9x + 8 =0.

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The side lengths could be used to create a scale drawing of the field is 6600 yard².

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards.

According to given question we have

We know that

Area of rectangle= Length × width

Area of rectangle= 110 × 60

Area of rectangle= 6600 yard².

Scale ratio can be 1:55

Therefore, the side lengths could be used to create a scale drawing of the field is 6600 yard².

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Answer:

Either a pie chart or a bar graph

Step-by-step explanation:

THIS THE CORRECT ANSWER

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

3

Step-by-step explanation:

Ok so do 9 times itself 5 times so basically its this:

9*9*9*9*9

Next do the same but 3 times:

9*9*9

Exponents are not this:

9*3

But this:

9*9*9

Your answer:

59049/729

Another way to say it:

59049 over 729

There is your answer hope this helps

Answer:

9^2 (9 to the power of 2)

Step-by-step explanation:

Ok, this is how you find exponents:

Well, exponents are really just abbreviated multiplication, so to find the numerical value of 9^5 and 9^3, you need to multiply 9 by itself 5 times and 3 times, then divide.

9*9*9*9*9= 59049

9*9*9= 729

Then you divide: 59049/729= 81.

But the question asks to rewrite the answer using a single positive exponent, so now we simplify 81 into an exponent.

The square root of 81= 9

9*9=81

81 as an exponent= 9^2 (or 9 multiplied 2 times)

Another simple trick for solving exponents is to subtract the exponents:

9^5-9^3= 9^2 (5-3=2)

I hope this answer was helpful!

Answer:

the correct answer would be 33

Step-by-step explanation:

hope this helps :)

Answer:

Answer=3/10

Step-by-step explanation:

even numbers=3

total cards=10

P=number of possible outcomes/total outcomes

=3/10

Answer:

you have a 3/10 probability of geting a even number bc

Step-by-step explanation:

there are ten numbers shown in the question and there are three even numbers out of ten so that is how you get you anewer

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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8000 is the population of village in 1970.

Given that:

The linear equation of the population, P, of a village t years after it was founded in 1970, is given by

P(t) = 8000 + 600t.

To find:

What is the population in 1970 ?

So, according the question

We have,

The population of a village after t years from 1970 in a form of linear equation is,

 P(t) = 8000 + 600t.

This linear equation was founded in 1970, so t years will be counted after 1970. If we need to find the population of a village in 1971, we can use t = 1971 - 1970, which is one year. But here we have to find the population of a village in 1970, so the value of time is 0.

Now, putting the value of t.

We will be get,

 P(t) = 8000 + 600t.

 P(0) = 8000 + 600 × 0.

 P = 8000

So, the population of a village in 1970 is 8000.

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Answer:

Alonso can use 2.1 gigabytes while staying within his budget.

Step-by-step explanation:

53.50 + 3x = 59.80

3x = 59.80 - 53.50

3x = 6.3

x = 6.3 ÷ 3

x = 2.1

Alonso can use 2.1 gigabytes while staying within his budget.

Answer:

3 days

Step-by-step explanation:

well, in 2 days mitch can jar 12 liters of jam right? but 12 is divisible by 2. so let’s just do that to help us out later, 12 / 2 = 6

now that we have that, let’s make sure. in 1 day he can jar 6, in 2 he can jar 12.

that seems right! so now, can we add 6 to 12 to make 18? yep! how many more times do we need to add 6? 1 time. so 12 + 6 = 18. every 6 liters is 1 day. so 1 day + 1 day + 1 day (18 liters) is 3 days total!

hope this helped you!

Answer:

Hello!

Distributive property: a(b+c)=ab+ac

Minus and plus sign.

Then multiply by the numbers.

Hope this helps!

Thanks!

Have a great day!

Step-by-step explanation:

The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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Answer:

540 degrees

Step-by-step explanation:

Triangles ( 3 sides )

180 degrees

Squares ( 4 sides )

360 degrees

Pentagon ( 5 sides)

540 degrees

Hexagon ( 6 sides )

720 degrees

Any Polygon can be calculated using this formula:

n = number of sides

(n - 2) * 180 degrees

*Note, this is only for the sum of the interior angles. Exterior angles on polygons are ALWAYS equal to 360 degrees.

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

a) The point estimate is 6995.

b) The margin of error is of 1691.

c) The standard error is of 1000

Step-by-step explanation:

a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.

The point estimate is the mean of the two bounds of the confidence interval. So

\(P = \frac{5304 + 8686}{2} = 6955\)

The point estimate is 6995.

b. Calculate the margin of error.

The margin of error is the difference between the bounds and the point estimate. So

M = 8686 - 6995 = 6995 - 5304 = 1691

The margin of error is of 1691.

c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.

Now I have to expand a bit into the confidence interval.

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

The margin of error is:

\(M = zs\)

In which s is the margin of error.

We have that M = 1691. So

\(M = zs\)

\(s = \frac{M}{z} = \frac{1645}{1.645} = 1000\)

The standard error is of 1000

where the green point is the center of the circle and red a point

If I draw a line from the center to a point on the circle I will get the radius, so the yellow line is the radius, and I can find it using the formula of distance between two points

where the points are (4,-4) and (1,0)

so, replacing

so the radius is 5

the diameter is 2r so ,replacing

the diameter is 10 units

Answer:

Distance between parallel chords is 14 cm or 2 cm. Hope this helps

Step-by-step explanation: