Round to the nearest one-hundred dollars: $3,245.31
A $3,245.30
B $3,300.00
C $3,200.00
D $3,000

Answer: B

Step-by-step explanation:

The correct answer is B

The population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

\(y=a^x\)

Here, a is the variable in the power of a number.

The population of a bacterium doubles every hour. At 9 am, the population is 12 bacteria.

The function models the bacteria population t hours after 9 am  is,

\(P (t) = 12\times2^t\)

Put the value of t as 5 at P (5) in the above exponential function as,

\(P (5) = 12\times2^5\\P(5)=12\times32\\P(5)=384\)

Hence, the population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm.

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Answer:

I think it is A

Step-by-step explanation:

can you give brainliest

Answer:

A

Step-by-step explanation:

The goal is 750 and to see how many they still need to collect you have to take away the sum of what they've already collected each month.

The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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Answer:

\(5 \sqrt{2} \)

Step-by-step explanation:

\( \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} \)

Step-by-step explanation:

Which do you enjoy the most?

The total surface area of the triangular prism using the net is 96 square units

From the question, we have the following parameters that can be used in our computation:

The net of a triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6

Evaluate

Area = 96

Hence, the surface area is 96 square units

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For the given geometric sequence, we have that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

For the series given by:

8, 12, 18, 27, ...

We have that:

When a geometric series is infinite and has a common ratio greater than 1, it diverges.

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We have a line that passes through the point P:

P = (2, -1)

And that has a slope m = 5. Using the point-slope form of the linear equation:

(y - y0) = m*(x - x0) ...(1)

Where x0 and y0 are the coordinates of any point contained in the line. In particular, if the point is P:

x0 = 2

y0 = -1

Then, replacing these values on (1):

(y - (-1) = 5*(x - 2)

y + 1 = 5x - 10

Finally:

y = 5x - 11

322 cans of soda were sold by the grocery store in all.\

Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.

The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322

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The measure of angle D of the given Kite is: 127°

From the diagram, the figure represents a kite.

Properties of a kite are:

- Two pairs of adjacent sides are equal.

- Two diagonals intersect each other at right angles.

- The longer diagonal bisects the shorter diagonal.

- The angles opposite to the main diagonal are equal.

Thus:

The angle B = the angle D

The sum of all angles of a quadrilateral = 360

Given: ∠A = 36 and ∠C = 70

Thus:

2∠D = 360 - (36 + 70)

2∠D = 254

∠D = 127°

So, the measure of angle D = 127°

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Answer:

the answer is 15% but there's none of the above

hope this helps

The correct statement can identify by using a certain limit theorem.

The correct option is (c).

The sample size of J is 40.

The sample size of K is 100.

As per the central limit theorem, if the population with mean and standard deviation takes a large random sample from the population with replacement, then the distribution of the sample means will be approximately distributed.

Now from the definition of the central limit theorem, both J and K will the same means.

Write the expression for standard deviation.

\(s = \frac{\alpha }{\sqrt{n} }\)

From the above expression, the standard deviation is inversely proportional to the sample size.

Thus, the correct statement is the expected values of J and K will be equal, and the variability of J will be greater than the variability of K.

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The complete question is:

A certain statistic will be used as an unbiased estimator of a parameter. Let J represent the sampling distribution of the estimator for samples of size 40, and let K represent the sampling distribution of the estimator for samples of size 100.

Which of the following must be true about J and K?

a. The expected values of J and K will be equal, and the variability of J will be less than the variability of K.

b. The expected values of J and K will be equal, and the variability of J will be equal to the variability of K.

c. The expected values of J and K will be equal, and the variability of J will be greater than the variability of K.

d. The expected value of J will be greater than the expected value of K, and the variability of R will be greater than the variability of K.

e. The expected value of J will be greater than the expected value of K, and the variability of R will be less than the variability of K.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer:

Alex saves with company B: 15 cents per minute
If he had made 1400 minutes of call with B, total savings = $210

Step-by-step explanation:

Cost per minute with company A = Total cost/Number of minutes
= $322/1400 = $0.23 which is 23 cents per minute

Company B charges 8 cents per minute

Cost of savings per minute = 23 - 8 = 15 cents per minute = $0.15 ¢/min

If Alex had made the same amount of calls with company B, total savings = $0.15 x 1400 = $210

The required required value of angles are  31, 118, 31.

An Isosceles triangle is a triangle that has two equal sides. Also, the two angles opposite the two equal sides are equal. In other words, we can say that “An isosceles triangle is a triangle which has two congruent sides“.

We have,

∠Q = 8x-17, ∠R = 19x+4, ∠S = 5x+1

So,

∠Q + ∠R + ∠S = 180

= 8x-17 + 19x+4 + 5x+1

= 32x - 12 = 180

= 32x = 192

x = 6

Angles are;

∠Q = 8x-17 = 8(6)-17 = 31

∠R = 19x+4 = 19(6)+4 = 118

∠S = 5x+1 = 5(6)+1 = 31

Thus, required value of angles are  31, 118, 31.

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Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

The standard deviation of Y is 432.

                (Y = 75X - 100)

The formula of the standard deviation is :

                           SD(Y) = SD(75X - 100)

Substituting the value of SD(X) and SD(100) in the above expression.

SD(Y) = 75SD(X) - SD(100)

SD(Y) = 75 SD(X) - 0

SD(Y) = 75 × 5.76

SD(Y) = 432

Hence, the standard deviation of Y is 432.

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Answer:

a) 15.9%

b) 2.3%

Step-by-step explanation:

We solving using z score formula. This formula is given as:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.)

x = 45, μ = 48, σ = 3

z = 45 - 48/3

= -1

Probability value from Z-Table:

The probability of batteries with a useful life of less than 45 months so

P(x<45) = 0.15866

Converting to percentage

0.15866 × 100 = 15.866

Approximately to the nearest tenth of a percent = 15.9%

b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)

x = 58, μ = 48, σ = 3

z = 58 - 48/3

= 2

Probability value from Z-Table:

P(x<54) = 0.97725

P(x>54) = 1 - P(x<54)

= 0.02275

The probability of batteries that will last longer than 54 months is 0.02275

Converting to percentage

0.02275 × 100

= 2.275%

Approximately to the nearest tenth of a percentage = 2.3%

Answer:

(a) 9a + 2

(b)  a = 5

Step-by-step explanation:

Perimeter of a triangle = sum of sides

=

2a + 1     +
3a + 2    +
4a  - 1
----------

9a + 2   Answer (a)

If perimeter = 47 , then 9a + 2  =47

Subtract 2 from both sides

==> 9a = 47 -2

9a = 45

a = 45/9

a = 5

Answer:

cosine

Step-by-step explanation:

cos 27=x/20

x=20 cos 27≈17.82

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

Answer:

the answer is $44.49

Step-by-step explanation:

:))

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

17 alyezhh

Step-by-step explanation:

its adding by 3's loljjjjhggg

The value of s in the point (s,-3) after using slope formula is -4.

What is slope?

Slope is a term used to define how steep a line is. The rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction, is the definition of slope (x). The slope is the angle at which one is moving forward or backward when skiing down a hill or climbing a mountain. Depending on what it is, the slope may occasionally be fairly flat or extremely steep. The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making. 

Using slope formula,

=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

Now the given point  is ,

\((x_1,y_1)=(s,-3) \\(x_2,y_2)=(-8,-4)\)

=> slope m= 1/4

=> \(\frac{1}{4}= \frac{-4+3}{-8-s}\)

=> \(\frac{1}{4} = \frac{-1}{-8-s}\)

=> -8-s=-4

=>-s=-4+8

=> -s=4

=> s =-4.

Hence the value of s is -4.

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Answer:

Step-by-step explanation:

Let the number be x.

3x - 6 = 2x

x - 6 = 0

x = 6

Answer:

c

Step-by-step explanation:

Answer:

A. Yes, the points have no pattern.

Step-by-step explanation:

just did it on edge and got 100%

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept