Find the following measure for this figure.

A radius of 5
and a length of 11

Lateral area = ?

a. 55 square units
b. 5√(47) square units
c. 5√(146) square units

The final cost of 4 pounds is $28.25 and the final cost of p pounds is $4.

Expression for the cost to buy is, Cost(x) = $7.50x - $1.75

The cost price is the price from which the seller buys the product. An expression simply consists of one or more numbers that are along the operation that is given.

In this case, the price per pound of the apples is $7.50 per pound and he has a coupon for $1.75 off the final amount.

The amount to amount that Khajida has to pay to buy 4 pounds of apples will be:

7.50p - 1.75 =

where P = number of pounds

p = 4

This will be:

5.50p - 2.5

7.5(4) - 1.75

27.5 - 1.75

28.25

The amount paid is $28.25.

Therefore, the final cost of 4 pounds: $28.25.

The final cost of p pounds: 4  dollars

To write an expression for the cost to buy x pounds of apples with the coupon, we can use the formula:

Cost = price per pound * number of pounds - coupon amount

Using this formula, we can write:

Cost(x) = $7.50x - $1.75

Where x represents the number of pounds of apples Khadija wants to buy. 

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25% of 192 = 192 * 25/100 = 192 * 0.25 = 48

Answer:

Mary received $48

a. The hypothesis to be tested are given as follows:

b. The p-value is of: 0.0047.

c. The decision is of: Reject the null hypothesis.

d. The conclusion is of: There is enough evidence to conclude that the mean rate is less for people who exercise regularly.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the heart rate is less, than is, if the difference is not negative, hence:

\(H_0: \mu_d \leq 0\)

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the heart rate is less, that is, if the difference is negative, hence:

\(H_1: \mu_d > 0\)

The parameters to the p-value are given as follows:

We have a left-tailed test, as we are testing if the mean is less than a value, hence, using a t-distribution calculator, the p-value is of:

0.0047.

Since the p-value is less than the critical value, the decision and the conclusion are given as follows:

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you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer: Hi!

The place value of 6 in 37651 is equal to 600, as it is in the hundreds place.

All we need to do is multiply 600 by 11:

600 * 11 = 6600

Hope this helps!

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So in 37,651, the 6 is in the hundreds place since it's the third digit (from right to left).

6 in the hundreds place is 600.

600 times 11 equals 6600.

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♡ Hope this helps! ♡

❀ 0ranges ❀

When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.

When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. An illustration of arithmetic growth is the ongoing elongation of roots. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.

The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.

Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.

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Answer:

False. The product of two negative integers is a positive integer.

Step-by-step explanation:

Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.

Actual velocity vector = 380 mph [14.6° east of south]

Actual speed = 380 mph

Actual direction = 14.6° east of south

The actual velocity of the plane can be determined by subtracting the velocity of the tail wind (80 mph) from the initial velocity of the plane (460 mph). This gives us a result of 380 mph. To calculate the direction of the actual velocity, we need to subtract the direction of the tail wind (20 degrees west of south) from the direction of the initial velocity of the plane (10 degrees east of south). This gives us a result of 14.6° east of south. Therefore, the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.

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Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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Answer:

D

Step-by-step explanation:

Answer:

1,572,864

Step-by-step explanation:

1. 6 x 4 = 24

2. 24 x 4 = 96

3. 96 x 4 = 384

4. 384 x 4 = 1,536

5. 1,536 x 4 = 6,144

6. 6,144 x 4 = 24,576

7. 24,576 x 4 = 98,304

8. 98,304 x 4 = 393,216

9. 393,216 x 4 = 1,572,864

The 9th term of the geometric sequence 6, 24, 96, ... is 393216

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The given sequence  6, 24, 96, ...

six, twenty four, ninety six

a is first term=6

r is common ratio = 24/6=4

The nth term of Geometric sequence aₙ=a.rⁿ⁻¹

9th term a₉=6(4)⁸

=6(65536)

=393216

Hence, the 9th term of the geometric sequence 6, 24, 96, ... is 393216

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Kilograms recycled before starting the recycling plan = 8

Kilograms recycled per week = 3

Number of weeks = 3

To find the number of kilograms recycled after 3 weeks, add the already recycled kilograms (8) to the product of the kilograms recycled per week (3) and the number of weeks (3)

8 + 3 (3 ) = 8+9 = 17 kg

12.5% as a decimal is 0.125.

To convert a percentage in to a decimal, we divide the percentage by 100:

Answer:

Step-by-step explanation:

15% of 20 is 3

Answer:

My answer to the question is 24.

9514 1404 393

Answer:

  The product is greater than 3/8 and less than 7/2

Step-by-step explanation:

When a positive number X is multiplied by a positive number less than 1, the result will be less than X.

When a positive number X is multiplied by a positive number greater than 1, the result will be more than X.

Here we are multiplying a number less than 1 by a number more than 1. The result will be larger than the smaller number (3/8) and less than the larger number (7/2). This description matches the last choice.

  The product is greater than 3/8 and less than 7/2

The distributive property of multiplication states that

A(B + C) = A * B + A * C

This means that each term inside the bracket is multiplied by the term outside. Looking at the given expression,

6 * 4 = 24

6 * 7 = 42

Thus, we can say that the property used in the expression is

distributive property

Answer:

  c.  y = 3.25^x

Step-by-step explanation:

At x=1, the value of y is slightly more than 3, so the base must be more than 3. The appropriate choice is ...

  y = 3.25^x

Answer:(5x+1)2

the two is on the top

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

(2x+1) +x = -35

3x= -36

x= -12

Step-by-step explanation:

Answer:

 Step-by-step explanation:

perimeter of a rectangle (P) = 2L + 2W

where;

P = 42 in.  

Length (L) = 5 + W

Find:

length (L) of the rectangle

solution:

P = 2L + 2W

42 = 2(5 + W) + 2W

42 = 10 + 2W + 2W

42 - 10 = 4W

32 = 4W

W = 32/4

W = 8

Length (L) = 5 + W

                = 5 + 8

                 = 13 in

proof:

42 = 2(13) + 2(8)

42   = 42 in

Answer:

The answer to your question is A "In an Old House"  I hope this helps

Sorry if I am wrong

Answer: It would be "In an Old House"

Step-by-step explanation: