A eat sixth of pizza in 2 minutes.B takes 3 minutes to eat one quarter of same same pizza.If A and B starts eating one pizza each,who will finnish first?

A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

\(\frac{x+xy}{y}\)

Step-by-step explanation:

Given

\(\frac{x}{y}\) + x

Multiply x by \(\frac{y}{y}\) to create a common denominator

= \(\frac{x}{y}\) + x × \(\frac{y}{y}\)

= \(\frac{x}{y}\) + \(\frac{xy}{y}\)

= \(\frac{x+xy}{y}\)

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

sol:x=(5y+53)/11

value of x in 4x+3y=0

4×(5y+53)/11+3y=0

(20y+212+33y)/11=0

53y+212=0/11

y=-212/53

y=-4

now

value of x

4x+3y=0

4x+3×-4=0

4x=12

x=12/4

x=4

by solving both we get,

Answer: x=2

Step-by-step explanation:

Given AC = 2x+9 and BD = 7x-1

AC=BD,

2x+9 = 7x-1

10=5x

x=10/5 = 2

Answer:

.25

Step-by-step explanation:

37.50/5=7.5

58/8=7.25

7.5-7.25=.25

Answer:

260

Step-by-step explanation:

So first you need to multiply 5 and 37. and the is 5×37 equals 185. So now your gonna multiply 8 by 58 and that is 464. So now that you have those two numbers ( 185, 464 ) your gonna add how ever much you need to get 464. So the closest to get to 464 is gonna be 260 I'm pretty sure.

If he makes the cubes as large as possible, the maximum number of cubes is equal to 900 cubes.

In order to determine the number of cubes that would be produced by Richard when the rectangular prism is cut into congruent cubes without any part of the rectangular prism leftover, we would make the edges of the cube 100 times larger and then evaluate:

Note: The greatest common factor (GCF) of the dimensions above is 75.

Next, we would divide each of the dimension by 75:

Length of cube = = 450/75 = 6 feet.

Breadth of cube = 750/75 = 10 feet.

Height of cube = 1125/75 = 15 feet.

Therefore, the maximum number of cubes is given by:

Maximum number of cubes = 6 × 10 × 15

Maximum number of cubes = 900 cubes.

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Complete Question:

Richard cuts a 4 1/2 ft × 7 1/2 ft × 11 1/4 ft rectangular prism into congruent cubes without any part of the prism leftover. If he makes the cubes as large as possible, how many will he produce?

Based on the given options, the linear inequality that represents the graph below is C. y ≥ -3x + 1

To determine the correct option, we need to analyze the characteristics of the graph. Looking at the graph, we observe that it represents a line with a solid boundary and shading above the line. This indicates that the region above the line is included in the solution set.

Option A, y > (-3/6)x + 1, does not accurately represent the graph because it describes a line with a slope of -1/2 and a y-intercept of 1, which does not match the given graph.

Option B, y ≥ x + 1, also does not accurately represent the graph because it describes a line with a slope of 1 and a y-intercept of 1, which is different from the given graph.

Option D, y > x + 1, is not a suitable representation because it describes a line with a slope of 1 and a y-intercept of 1, which does not match the given graph.

Only Option C. y ≥ -3x + 1.

This is because the graph appears to be a solid line (indicating inclusion) and above the line, which corresponds to the "greater than or equal to" relationship. The equation y = -3x + 1 represents the line on the graph.

Consequently, The linear inequality y -3x + 1 depicts the graph.

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Answer:

Sierra would have 16 points

Step-by-step explanation:

5×4=20

8×\(\frac{1}{2}\)=4

20-4=16

Answer:

∠ D = 55°

Step-by-step explanation:

given AC is perpendicular to BD , then ∠ ACB = 90°

the sum of the 3 angles in Δ ABC is 180° , that is

∠ A + ∠ ABC + ∠ ACB = 180°

35° + ∠ ABC + 90° = 180°

125° + ∠ ABC = 180° ( subtract 125° from both sides )

∠ ABC = 55°

given AB and DE are parallel , then

∠ D and ∠ ABC are alternate angles and are congruent , so

∠ D = 55°

Step-by-step explanation:

9 *(3 + 5) = (9 x 3)+ (9x 5)

the formula for distributive property is a×(b+c) = (a×b) + (a×c)

Answer:

144 degrees

Step-by-step explanation:

To convert radians to degrees, multiply by

180/π, since a full circle is 360° or 2π radians.(4π/5) ⋅180°/ π

Cancel the common factor of π. 4/5 ⋅ 180

Cancel the common factor of 5. 4 ⋅ 36

Multiply 4 by 36.

144

Convert to a decimal. 144°

True, a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage.

A proportion is a mathematical relationship between two numbers, showing that one number is a part of the other or that they share a certain ratio. It compares two ratios and checks if they are equal. For example, if we have two ratios 1:2 and 2:4, these ratios are in proportion because they have the same relationship (1 is half of 2, and 2 is half of 4).
To express a proportion as a percentage, follow these steps:
Convert the ratio to a fraction: In our example, the ratio 1:2 can be converted to the fraction 1/2.
Divide the numerator by the denominator: In this case, we will divide 1 by 2, which equals 0.5.
Multiply the result by 100: Finally, multiply 0.5 by 100 to get the percentage, which is 50%.
So, the statement is true that a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage. This concept is essential in various mathematical and real-life applications, such as calculating discounts, tax rates, and percentages of various quantities.

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Answer:

bottom right and the middle one from the left

Answer:

c

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

whats rotational symmetry?

if you explain it i might be able to help you

Step-by-step explanation:

Answer:

Solution: Factors of

8 = 2x2x2

12 = 2x2x3

18 = 2x3x3

24 = 2x2x2x3

LCM = 2x2x2x3x3 = 72

Add 5 to 72 to get 77 as the answer

Answer:

Step-by-step explanation:

Answer: It is option 2 or B

Step-by-step explanation: Simple and easy, the test said it was right too.

Answer:

1) Are dividing the group rate cost.

2) Multiplication.

3) Action is being performed on the variable.

4) n/4 or n [divided sign] 4

Step-by-step explanation:

Atleast this book tells you. but most times its a multi questioning test like online.

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer:

273 - 153.94 = 119.1 \(in^{2}\)

Step-by-step explanation:

area of a trapezoid - area of a circle = shaded area

If John bought 9 bags and spent $5.00, using simultaneous equations, the number of each kind of bag he bought is 7 bags of popcorn and 2 bags of caramel corn.

Simultaneous equations are two or more equations solved simultaneously or concurrently.

When two or more equations are solved at the same time, they are described as simultaneous equations or a system of equations.

The cost of popcorn per bag = $0.50

The cost of caramel corn per bag = $0.75

The total number of bags bought = 9

The total cost of the 9 bags = $5

Let the number of bags of popcorn = p and the number of caramel corn = c

0.5p + 0.75c = 5 ... Equation 1

p + c = 9 ... Equation 2

Multiply Equation 2 by 0.5:

0.5p + 0.5c = 4.5  ... Equation 3

Subtract Equation 3 from Equation 1:

0.5p + 0.75c = 5

-

0.5p + 0.5c = 4.5

0.25c = 0.5

c = 2

p = 9 - 2

= 7

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Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2

(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°

The volume of the reservoir with an isosceles triangle surface and trapezoid cross-sections is 375,000 cubic meters.

To find the volume of the reservoir with an isosceles triangle surface and trapezoid cross-sections, we'll follow these steps:

1. Identify the dimensions of the trapezoid: Given that the top side (base) of the trapezoid is 100 m, its bottom side (smaller base) will be half of that, so 50 m. Similarly, the height of the trapezoid is half the length of the top side, so 50 m.

2. Calculate the area of the trapezoid cross-section: To find the area of a trapezoid, we use the formula A = (1/2)(b1 + b2)h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height. In our case, A = (1/2)(100 + 50)(50) = (1/2)(150)(50) = 3750 square meters.

3. Determine the length of the reservoir: The length of the reservoir is given as 100 m.

4. Calculate the volume of the reservoir: Finally, to find the volume, we multiply the area of the trapezoid cross-section by the length of the reservoir. V = A * L = 3750 * 100 = 375,000 cubic meters.

So, the volume of the reservoir with an isosceles triangle surface and trapezoid cross-sections is 375,000 cubic meters.

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if he started working in 45 min he can make time for it

movie started at 2.55 pm

As per the question

Movie start at -2.55 pm

time take to drive the theatre - 10 min

So the time taking is

2.55-0.10=2.45 pm

(Let's take 10 min =0.10)

Marcus start the yard work at -2.00 pm

So the time take - start time

2.45-2.00 pm

= 45 minutes

If Marcus take the yard work for 45 minutes he can make it on time for movie

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To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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After the rotation fo 180°, we will get the rectangle J'K'L'M', it can be seen in the image at the end of the answer.

A rotation of 180° always moves the figure 2 quadrants. In this case, the figure starts on the second quadrant, so after the rotation, the figure will be on the fourth quadrant.

Such that the point (x, y) will be transformed into (-x, -y).

The original coordinates of the vertices of our figure are:

Then the image after the transformation is:

The graph can be seen below.

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