An oatmeal bar in the shape of a rectangular prism has a base area of 4 square inches and a height of 4 inch.
What is the volume of the oatmeal bar?
OA. 9 3/4 cubic inches
OB. 9 3/16 cubic inches
OC. 6 12/16 cubic inches
OD. 6 15/16 cubic inches

Answer:

5. 26⁰F, rise

6. 0, Added both the numbers instead of subtracting

7. 10⁰C

8. 25⁰F

9. 13⁰F

10. -4

Answer:

This is what I got 10(a+1)

I don't think you need this but there you go.

Step-by-step explanation:

Answer:

immma send you the link friend me on here Step-by-step explanation:

Answer:

12

Step-by-step explanation:

-4 X 3 =-12

=-(-12)

=12

Answer: The sunflower be  50 inches tall after 6 weeks.

Total height of sunflower in w weeks = 20+1.5 w,

Step-by-step explanation:

Given:  In the beginning, the sunflower was 20 inches tall.

The sunflower then began to grow at a rate of 1.5 inches per week.

Then, total height of sunflower in 6 weeks = 20+1.5 ×20, where 1.5 ×20= growth in 6 weeks

= 20+30

= 50 inches

So, the sunflower be  50 inches tall after 6 weeks.

Let w = number of weeks, then

Total height of sunflower in w weeks = 20+1.5 w, where 1.5 w= growth in w weeks.

Answer:         29

                   1.5w+20

Step-by-step explanation:

Answer:

19 girls snd 10 boys

Answer:

24

Step-by-step explanation:

Given:

Population of city = \(8\times 10^4\)

It is about 20 times as great as the small town.

To find:

The approximate population of the small town.

Solution:

Population of city is about 20 times as great as the small town. It means,

\(\text{Population of city}=20\times \text{Population of small town}\)

\(\dfrac{\text{Population of city}}{20}=\text{Population of small town}\)

On substituting Population of city = \(8\times 10^4\), we get

\(\text{Population of small town}=\dfrac{8\times 10^4}{20}\)

\(\text{Population of small town}=\dfrac{8\times 10\times 10^3}{20}\)

\(\text{Population of small town}=4\times 10^3\)

Therefore, the population of the small town is \(4\times 10^3\).

The rule for the nth term of this geometric sequence is an = \(8 \times 7^(n-1)\), and the value of the fifth term (a5) is 19,208.

To find the rule for the nth term of a geometric sequence, we need to identify the common ratio (r) between consecutive terms. In this case, we can observe that each term is obtained by multiplying the previous term by 7. Therefore, the common ratio is 7.

The general formula for the nth term of a geometric sequence is given by:

\(an = a1 \times r^(n-1)\),

where an represents the nth term, a1 is the first term, r is the common ratio, and n is the position of the term.

Using the given sequence, we can determine the value of a1 by examining the first term, which is 8. Plugging in the values into the formula, we have:

\(a5 = 8 \times 7^(5-1) = 8 \times 7^4 = 8 \times 7 \times 7 \times 7 \times 7 = 8 \times 2401 = 19,208.\)

Therefore, the fifth term (a5) in the sequence 8, 56, 392 is 19,208.

Answer:

A.) $10,400

Contribution every payday = $60

Pay periods in a year = 26

Step-by-step explanation:

Assume her salary, that is total cost = y

Percentage deduction 15% of total cost

biweekly paychecks = $60

Therefore, 15% of y = $60

(15/100)y = 60

15y = 6000

y = 400

Total value of contribution:

$400 × number of biweeks in a year

If number of weeks in a year = 52

No of bi-weeks = 52/2 = 26

$400 × 26 = $10400

Answer:

the correct answer is $9,750.00

got it right

Step-by-step explanation:

Answer:

she bought 8.5 pounds of jellybeans

Step-by-step explanation:

12.75 divided by 1.5 gets 8.5

Answer:

You would need 250 bottles to collect $10.

Step-by-step explanation:

10 bottles / 25 cents = 0.4 cents per bottle

10 bottles / 0.4 cents per bottles = 25 bottles

25 bottles * 10 bottles = 250 bottles

Hope this helps:)

Answer:

25 cents x 40 bottles =10.00

Step-by-step explanation:

25 cents = 10 bottles

1 dollar = 40 bottles

40 bottles = 20$

We need information such as total number of students, number of male students,number of male students who got an 'a'. Without this information, we cannot determine probability directly.

However, if we assume that the gender and grade distributions are independent, we can still provide a general explanation. In this case, the probability of a student being male and getting an 'a' would be the product of probability of being male and the probability of getting an 'a'. This assumes that the probability of being male is not affected by the grade received and vice versa.

Without specific information about the gender and grade distributions, we cannot calculate the probability of a randomly chosen student being male given that they got an 'a'. Additional details are needed to determine the probabilities accurately.

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#Complete Question

Answer:

D: an endpoint at one end and an arrow on the other or answer hope this helped,

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A line segment has an endpoint at both ends. A has arrows at both ends.A ray has a endpoint at one end and an arrow at the other.

Answer:

x = -1/3

Step-by-step explanation:

1. 8-x-10 = 2x-1

2. 2x-1 = -x-2

3. 3x-1 = -2

4. 3x = -1

5. x = -1/3

The balloon hits the hill at a distance of approximately 20.3 yards from Treyvon.

We may use the quadratic formula to solve for x using the order of operations by simply substituting the values of a, b, and c from the provided equation into the formula (PEMDAS). Due to the fact that a quadratic equation can have two roots, the formula offers two potential solutions. The equation lacks real roots if the discriminant is negative. A versatile tool for tackling a wide range of issues in mathematics, physics, engineering, and other disciplines is the quadratic formula.

Let us suppose the distance = d.

Now, when Trevon stands 9yards away we have:

The height of the hill at distance d is given by the equation y = 9 + d * tan(34°)

Now, h(d) = y and solve for d:

-0.1d² + 0.8d + 2 = 9 + d*tan(34°)

d = 20.3 yards

Hence, the balloon hits the hill at a distance of approximately 20.3 yards from Treyvon.

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The requried, if the p-value is greater than the chosen significance level, we fail to reject the null hypothesis, meaning we don't have enough evidence to conclude that the mean height is greater than 42.5 inches.

Null Hypothesis (H0): The mean height of five-year-old children in the city is not greater than 42.5 inches.

Alternative Hypothesis (Ha): The mean height of five-year-old children in the city is greater than 42.5 inches.

We will conduct a one-sample t-test since we have the sample mean and standard deviation.

Let's calculate the t-statistic and find the corresponding p-value.

The formula for the t-statistic is:

\(t=\dfrac{x-\mu}{s/\sqrt n}\)

Where:

x  is the sample mean (44.1 inches),

μ is the population mean under the null hypothesis (42.5 inches),

s is the sample standard deviation (3.5 inches),

n is the sample size (40).

Let's calculate the t-statistic:

\(t=\dfrac{44.1-42.5}{3.5/\sqrt n}\\t=2.89\)

Now, we need to locate the p-value associated with this t-statistic. The p-value is the probability of observing a t-statistic as extreme as the one calculated (or even more extreme) under the assumption that the null hypothesis is true.

The p-value can be looked up using a t-distribution table or calculated with statistical software. In this matter, since the t-statistic is quite large, the p-value will be very small.

Suppose the p-value is less than the significance level (α) chosen for the test (commonly 0.05). In that case, we reject the null hypothesis in favor of the alternative hypothesis. This means there is convincing evidence that the mean height of five-year-old children in this city is greater than 42.5 inches.

Conversely, if the p-value is greater than the chosen significance level, we fail to reject the null hypothesis, meaning we don't have enough evidence to conclude that the mean height is greater than 42.5 inches.

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Answer:

5

Step-by-step explanation:

I tried to do it in my head.

Sorry if it wrong

The probability that an observation taken from a standard normal population will have a z-value less than 0.5 and greater than -1.5, i.e., P(-1.5 < Z < 0.5), is approximately 0.6247.

Determine the probability.

To find the probability P(-1.5 < Z < 0.5), where Z represents a standard normal random variable, we can use the standard normal distribution table or statistical software.

The standard normal distribution table provides the cumulative probabilities for various values of Z. By looking up the probabilities for -1.5 and 0.5 individually and subtracting them, we can find the desired probability.

Alternatively, using statistical software or a calculator, we can calculate the probability directly by subtracting the cumulative probability of -1.5 from the cumulative probability of 0.5.

In this case, the probability P(-1.5 < Z < 0.5)

P(-1.5 < z < 0.5) = P(z < 0.5) - P(z < -1.5)

= 0.6915 - 0.0668

= 0.6247

This means that there is a 0.6247, or 62.47%.chance of obtaining a Z-value between -1.5 and 0.5 in a standard normal distribution.

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The  product of prime polynomials which is equivalent to 30x3 – 5x2 – 60x is option C) 5x(2x – 3)(3x + 4).

We have 30x³ - 5x² - 60x

We take common value out so

5x(6x² - x - 12)

By following the factorization method we get,

6x² - x - 12

b²-4ac = -1² - 4x6x(-12)

= 289

x = -b ± √289/2a

= 1 ± 17/-2

x = 3/2 or x = -4/3

So,

6x² - x - 12

6(x-3/2)(x-(-4/3))

(2x-3) (3x+4)

Therefore,

30x³ - 5x² - 60x = 5x(6x² - x - 12)

= 5x (2x-3) (3x+4)

The  product of prime polynomials is equivalent to 30x3 – 5x2 – 60x is 5x(2x – 3)(3x + 4).

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} )\\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-3) and (-5,12)

The midpoint is

\(M = ( \frac{ - 1 - 5}{2} \: , \: \frac{ - 3 + 12}{2} ) \\ = ( - \frac{6}{2} \: , \: \frac{9}{2} )\)

We have the final answer as

\(( - 3 \: , \: \frac{9}{2} ) \\ \)

Hope this helps you

Step-by-step explanation:

Hey there!

The given coordinates are; (-1,-3) and (-5,12).

Now;

Use formula for midpoint.

\(m(x,y) = ( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )\)

Put all values.

\((x,y) = ( \frac{ - 1 - 5}{2} ,\frac{ - 3 + 12}{2} )\)

Simplify it to get answer.

\((x,y) = ( \frac{ - 6}{2} , \frac{9}{2}) \)

\((x,y) = ( - 3, \frac{9}{2} )\)

Therefore the midpoint is; (-3,9/2).

Hope it helps..

Answer:

jdjjsjsjjjdjdjjsjshshshud

Suppose dorothy drops a ball from a height of 10 feet. after the ball hits the floor, it rebounds 65% of its previous height.The formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

When a ball is dropped from a height of 10 feet, it rebounds to 65% of its previous height each time it bounces.

To find the height of the ball after the nth bounce, we need to use a geometric sequence formula,

which is given by

\(y = ar^n-1,\)

where a is the initial term,

r is the common ratio, and

n is the number of terms.

Here, a = 10 feet,

r = 0.65, and

n is the nth term or

the number of times the ball bounces after it is dropped for the first time.

Therefore, the formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

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Answer:

(7,5) and (10,8)

Step-by-step explanation:

x = y+2

4(y+2)^2 -(y+2) - 67y + 146 = 0

4(y^2+4+4y) -y - 2 - 67y + 146 = 0

4y^2+16y+16 - 68y + 144 = 0

4y^2 -52y + 160= 0

y^2 - 13y+40 = 0

(y-8)(y-5) = 0

y = 8

y = 5

x = 5+2 = 7

x = 8 + 2 = 10

Answer:

Try the answer B.

Step-by-step explanation:

Step-by-step explanation:

The are two angles ie. 45 and 80 than find the third angle

80 will be vertically opposite and alternative angle to a

If Kristen is solving a radical equation and determines that the equation has no solution, the equation Kristen attempting to solve \(\sqrt{4-x} + 9 = 0\). (Option B)

To see why this radical equation has no solution, we can isolate the radical on one side of the equation by subtracting 9 from both sides:

\(\sqrt{4-x} = -9\)

Now, we can square both sides of the equation to get rid of the radical:

\(4-x = 81\)

Next, we can solve for x by subtracting 4 from both sides and multiplying by -1:

\(x = -77\)

However, if we plug this value of x back into the original equation, we get:

\(\sqrt{4-(-77)} + 9 = 0\)

\(\sqrt{81} + 9 = 0\)

\(9 + 9 = 0\)

\(18 = 0\)

This is clearly not true, so there is no solution to the equation. Therefore, Kristen is attempting to solve equation B) \(\sqrt{4-x} + 9 = 0\).

Note: The question is incomplete. The complete question probably is: Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve? A) \(0 = \sqrt{6x} - x\) B)\(\sqrt{4-x} + 9 = 0\) C)\(\sqrt{27 + 6x} = x\)

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Answer:

69

Step-by-step explanation:

let the first term be n

second term = 2 + n

third term = 3 + second term so we can conclude that the other term will be:

forth term = 4 + third term

fifth term = 5 + forth term etc.

eleventh term will be 11 + 10 term

based on observations the tenth term is 58 so

eleventh term= 11 + 58

= 69