4. Charlene is reading a book that has a volume of 120 in ³ and cover
dimensions of 8 in. by 10 in.
The front and back covers are each 0.5 cm thick, and each page is 0.05
mm thick.
Charlene can read 20 pages per hour.
Determine how many hours it will take for Charlene to read the entire book.

The sum in scientific notation is 6.358 * 10^5

The summation expression is given as

(1.568 × 10^5) + (4.79 × 10^5)

Factor out 10^5 in the above expression

So, we have

10^5 * (1.568 + 4.79)

Evaluate the sum

10^5 * 6.358

Rewrite the expression as

6.358 * 10^5

Hence, the sum in scientific notation is 6.358 * 10^5

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Answer:

The slope of this line is

\( \frac{1}{2} \)

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

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Answer:

I hope this is what you were needing the answer to!

Angle EHF is congruent to the angle HFG

Answer:

angle EHF is congruent to angle HFG

Step-by-step explanation:

a)

b) The slope-intercept definition of the linear function is given as follows:

y = 3x + 3.50.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Two points on the linear function in this problem are given as follows:

(2, 9.50) and (5, 18.50).

The slope is given by the division of the change in y by the change in x, hence:

m = (18.50 - 9.5)/(5 - 2)

m = 9/3

m = 3.

Representing the hourly charge.

Hence:

y = 3x + b.

When x = 2, y = 9.50, hence the intercept b, representing the rental fee, is given as follows:

9.5 = 3(2) + b

b = 3.50.

Meaning that the function is defined as follows:

y = 3x + 3.5.

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Answer:

See Explanation

Step-by-step explanation:

Diameter of circle d = 34 in

Therefore, radius of the circle = r = 34/2 = 17 cm

\(A= \pi {r}^{2} \\ = \pi {(17)}^{2} \\ = \pi \times 289 \\ \huge \red{ \boxed{ A= 289 \: \pi \: {in}^{2} }} \\ \\ C = \pi \: d \\ = \pi \times 34 \\ \huge \purple{ \boxed{ C= 34\pi \: in}}\)

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Answer:

b+l is greater than it equal to 15

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression simplified by Pablo as \((2^{-4})^{-2}\)

On simplification we have;

According to one of the law of indices \((a^{m})^{n} = a^{mn}\)

Applying this law to the question will give;

\((2^{-4})^{-2}\\=2^{-4*-2} \\\= 2^{8}\)

Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.

Answer:

C. He should have found 8 as the exponent, not –8.

Step-by-step explanation:

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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Required:

We need to fill the given diagram with suitable words.

Explanation:

Consider the first line.

There is a choice of fish-bottled water is coming from fish and bottled water.

Consider the second like there is Chicken-bottled water and we have bottled water.

There must be chicken under food.

There are only three types of drink that are Bottled water, Soft drink, and juice.

In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.

Chicken and juice give a choice of Chicken-Juice.

Vegetable and Juice give a choice of Vegetable- Juice.

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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Answer:

Around 3 years

Step-by-step explanation:

6% of 30000 is 1800. I subtracted 1800 from 30000 until it got down too 24000 so im assuming that's how old

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

It should be noted that the value of the expression that's illustrated 1 - 3/4 + (-12 - 1) will be -12 3/4.

It should be noted that a rational number simply means the number that is expressed as the ratio of the integers that are given.

In this case, it should be noted that the value of the numbers given will be illustrated thus:

1 - 3/4 + (-12 - 1)

= 1/4 + (-13)

= 1/4 - 13

= -12 3/4.

In this case, we have arrived at a single rational number to represent the expression.

Therefore, it should be noted that the value of the expression that's illustrated 1 - 3/4 + (-12 - 1) will be -12 3/4.

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Answer:

16 inches.

PS:

Can I have Brainliest?

Answer:

Your answer is : 16 inches

Step-by-step explanation:

12 ÷ 3 = 4

4 inches for 1/4 of the year

= 4 × 4 = 16

hence, it would grow 16 inches in 1 year

The minimum cost of the food that satisfies the requirements is $2.60, and this occurs when the zoo uses 2 units of Custom Foods and 4 units of Zookeeper’s Best.

Let x be the number of units of Custom Foods and y be the number of units of Zookeeper’s Best required. Then, the cost can be expressed as:

C = 0.8x + 0.5y

Since each serving must have at least 60 grams of protein and 30 grams of fat, we have the following inequalities:

15x + 20y ≥ 60 (for protein)

10x + 5y ≥ 30 (for fat)

Simplifying the inequalities, we get:

3x + 4y ≥ 121x + y ≥ 6

We can solve this system of inequalities by graphing the equations on a coordinate plane:

Since the feasible region lies above and to the right of the line 3x + 4y = 12 and above and to the right of the line x + y = 6, the corner points are as follows:(0, 6), (2, 4), (4, 3), and (6, 0)

For each corner point, we can calculate the cost:

C(0, 6) = 0.8(0) + 0.5(6) = 3

C(2, 4) = 0.8(2) + 0.5(4) = 2.6

C(4, 3) = 0.8(4) + 0.5(3) = 4.2

C(6, 0) = 0.8(6) + 0.5(0) = 4.8

Therefore, the minimum cost of the food that satisfies the requirements is $2.60, and this occurs when the zoo uses 2 units of Custom Foods and 4 units of Zookeeper’s Best.

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Answer:

D

Step-by-step explanation:

2*3^2

2*9

18

\(\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:18}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(2 \: ( \: {4 - 1} \: )^{2} \)

\( = 2\: (\: {3} \: )^{2} \)

\( = 2 \: ( \: 3 \times 3 \: )\)

\( = 2 \times 9\)

\( = 18\)

\(\sf\pink{PEMDAS\: rule.}\)

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

The mean, µ = 100

The standard deviation, σ = 15

At X = 90, the z-score is calculated below

At X = 109

P(90 < X < 109) = P(-0.67 < z < 1.27)

From the standard normal

P(-0.67

The proportion of the population with IQ from 90 to 109 = 0.64653 x 100% = 64.65%

Answer:

please give brainiest

thank you

Answer:

Its 16 (-1/2)^-4=16 then

Given that the dimensions of the poster are Length = 24 cm and Width = 36 cm. We have to find the dimensions of the poster at a fraction 1/4 times its current size. the dimensions of the poster at fraction 1/4 times its current size would be L = 6 cm and W = 9 cm.

Let's see how to solve the problem.The area of a rectangle is given by;A = Length x WidthLet the new dimensions of the poster be length = L and width = W. Then, we have;New area of the rectangle = 1/4 x current area of the rectangleSubstituting the values we get;New area = 1/4 x (Length x Width)New area = 1/4 x (24 cm x 36 cm)New area = 1/4 x 864 sq cmNew area = 216 sq cm

As we know that the area of a rectangle is given by the product of its length and width. Hence, L x W = 216 sq cm.We also know that the new dimensions of the poster are 1/4 times the current dimensions of the poster. Thus;L = 1/4 x 24 cmL = 6 cmW = 1/4 x 36 cmW = 9 cmTherefore,

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Answer:

The answer is 359

Step-by-step explanation:

7³ + 2⁴

343 + 16 = 359

Thus, The answer is 359

-TheUnknownScientist 72

Answer:

359

Step-by-step explanation:

7³+2⁴=351

7*7*7= 343

2*2*2*2= 16

343+16= 359

Step-by-step explanation:

b=books

3b\(\leq\)23

\(b\leq 23/3\)

\(b\leq 7.67\)

L=lesson

25L\(\leq\)150

L\(\leq\)6

Hope that helps :)

Answer: a)7, B)8

Step-by-step explanation:

Problem a) If Kai wants to buy just one poster that costs 2 dollars, he has 25-2=23 dollars left. If each book is 3 dollars, then he  can buy 23/3 books. The inequality that results is that if b=#ofbooks, then b< or = (25-2)/3, because you cant buy a book for 2 and a half dollars, hence the less than. 23/3 is 7 r2. We get that b< or = to 7 2/3. However, he can't buy 2/3 of a book, so 7. The final inequality we get is that 2+3b<=25

Problem 2) She spends 50 initially, so 200-50=150 dollars left. Thus the number of lessons, or n, cover the rest of the money. Using the same thory as above, the final inequality is 50+25n<=200. n=8.

Answer:

1. 4/2

2. -3/5

3. 2/2

4. undefined

5. -5/1

6. zero

7. -4/5

8. 1

9. 0

10. 3/4

11. undefined

12. -9/4

The required slope for the lines is given below.

Given that,
Pot of line and points on the lines are given, we have to determine the slopes of the lines.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (-1, -11), (-6, -7)
m = -7 + 11 / -6 + 1
m = -4/5

Similarly,
Slopes of the line can be calculated as
1.) 4/2  2.) -3/5  3.) 2/2
4.) not defined because the denominator becomes zero or perpendicular to x-axis.
5.) -5/1
6.) zero  because the line is parallel to the x-axis
7.) -4/5      8.) 1   9.) 0  10.) 3/4
11.) not defined because the denominator becomes zero or perpendicular to the x-axis.
12.) -9/4

Thus, the required slope for the lines is given above.

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To administer 1 gram of the medication, you would need to give approximately 1.714 milliliters.

To determine the number of milliliters to administer in order to give 1 gram of medication, we need to convert the units appropriately.

Given that the medication is available in 350,000 micrograms per 0.6 ml, we can set up a proportion to find the equivalent amount in grams:

350,000 mcg / 0.6 ml = 1,000,000 mcg / x ml

Cross-multiplying and solving for x, we get:

x = (0.6 ml * 1,000,000 mcg) / 350,000 mcg

x = 1.714 ml

Therefore, to administer 1 gram of the medication, you would need to give approximately 1.714 milliliters.

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The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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The expression is simplified to 16/81

Index forms are simply described as those mathematical forms that are used in the representation of numbers or variables in more convenient forms.

Index forms are also referred to as;

From the information given, we have;

(8/27)⁴/³

To determine the value

Find the cube root, we get;

(∛8/27)⁴

(2/3)⁴

Find the value of the exponents

16/81

Thus, the value is 16/81

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