\(-\frac{1}{4}a-4=\frac{7}{4}a -3\\\)

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

Answer:26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:Okay so if you draw a line graph going vertical and you number it 1-32 ( this is if you have to show work ) a is a 11 feet deeper and b is 23 feet deeper

comparing value

3x+2=-3x-2

6x=-4

x=-4/6Have solution.

y=-2x+10

y=-2x+10

both are equal So no solution.

3rd

y=-x+4

y=-x+4

both are equal So no solution

4th

3x+y=8

3x+y=9

both are equal So no solution

The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

Answer: \((x+2)(x+8)\)

Step-by-step explanation:

1) First, we need to see which number multiplies to 16 and adds up to 10.

By looking at the factors of 16, we can see that only 2 and 8 will work.

2) Now, we need to arrange them in the factorized equation, which is always

(x+r)(x+q).

3) This will give us our final equation:

\((x+2)(x+8)\)

If you want the roots, just do the negation of r and q and you will get it!

Answer:

option 2 is better( 3 pizza with 30 inches diameter)

Step-by-step explanation:

Area of the large pizza = A=πr^2=962.11 * 2( for two pizzas)=1924.22

Area for small pizza : A=πr^2=706.86*3 pizza=2120.58

your buying more pizza for less price

(there are more than one way to figure the answer)

Answer:

Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?

Step-by-step explanation:

Answer:

it the second situation mate

Step-by-step explanation:

hope i helped you amd it is correct..

Answer:

Step-by-step explanation:

Hello,

there is not always an intersection point

let's take the example of on the appropriate domain

\(f(x)=e^x \ \ \ f^{-1}(x)=ln(x)\)

there is no intersection point

if there is one it means that the point (x,f(x)) and the point (x,\(f^{-1}(x)\)) is the same so that have to solve

\(f(x)=f^{-1}(x)\)

for instance if we take

\(f(x)=x^2 \ \ \ f^{-1}(x)=\sqrt{x} \ \ \ for \ x >= 0\)

intersection point are for x >= 0

\(x^2=\sqrt{x} <=>x^4=x<=>x^3=1 \ or \ x=0<=> x = 1 \ or \ x=0\)

hope this helps

Answer:

D

Step-by-step explanation:

Answer: y=0.392x2 - 5.583x +21.167

Step-by-step explanation:

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

The dimensions that will use the least amount of fencing for the rectangular pasture are 9 meters by 8 meters.

To determine the dimensions, we need to find the rectangle with the minimum perimeter that still encloses an area of 72 square meters. Since the perimeter is directly related to the amount of fencing required, minimizing the perimeter will result in using the least amount of fencing.

We can approach this problem by considering the factors of the area, which in this case is 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. By pairing these factors, we can find the dimensions that result in the minimum perimeter.

When we pair 9 with 8, we get a perimeter of 2(9+8) = 2(17) = 34. Comparing this to the other pairs, we can see that it yields the minimum perimeter and therefore requires the least amount of fencing.

Hence, the dimensions that will use the least amount of fencing are 9 meters by 8 meters.

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The probability is 0.125

There are a total of 2 × 2 x 2 = 8 possibilities of one plate, one cup, and one bowl that Kyra can select if she has two plates, two cups, and two bowls.

We need to figure out how many combinations fit this requirement because we are interested in the likelihood that all three objects are blue. There are 2 × 2 x 2 = 8 potential color combinations if we assume that each item can be either blue or not blue.

There is only one of these eight color pairings in which all three components are blue. P(all three are blue) = 1/8 = 0.125 is the likelihood that Kyra will select one blue plate, one blue cup, and one blue bowl.

So, the probability is 0.125.

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The analysis that could be conducted to test the hypothesis that worry accounts for the relationship between depression and sleep problems is mediation analysis. So, correct option is A.

Mediation analysis is a statistical method used to examine the mechanisms through which an independent variable (in this case, depression) affects a dependent variable (sleep problems) through a third variable (worry).

It involves testing the direct effect of the independent variable on the dependent variable, as well as the indirect effect of the independent variable on the dependent variable through the mediator variable.

If the indirect effect is significant and the direct effect becomes non-significant or smaller in magnitude after controlling for the mediator variable, then it suggests that the relationship between the independent and dependent variables is mediated by the mediator variable (worry).

So, correct option is A.

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Answer:

13 inches (to nearest inch)

Step-by-step explanation:

if volumes are in ratio 216:64, then lengths/heights must be in ratio

∛216: ∛64

= 6:4.

this can be simplified to 3:2.

3/2 = 1.5.

that means the height of larger cone is 1.5 times taller than height of the smaller cone.

let's call height of smaller cone d.

20 = 1.5d

d = 20/1.5

= 13.33

= 13 inches (to nearest inch)

To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

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Answer:

2m

Step-by-step explanation:

GCF of 8 and 18 is 2 and m is the only variable in both parts of the equation.

Answer:

Step-by-step explanation:

The second graph represents the function.

To figure out if a graph is a function, use the vertical line test. The vertical line test says that if you draw a line and two points on the graph intersect, that means the function is not a graph. Graph B is the only function where there are no points that fall on the same x value.

Answer:

8yr7xy9c8ze6X9yc9y8d58f99ff68g

3 is a constant, 4 is the coefficient, 5a+3+4b is written as a sum of three terms are the true statements.

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. Mathematicians employ the action of addition to combine numbers. The sum of the given numbers is the outcome of addition, or the total of the inputted numbers.

Given that,

5a+3+4b

Select all of the true statements below.

5a+3+4b is written as a product of three factors.

3 is a constant.

4 is a coefficient.

4b and 3 are like terms.

5a+3+4b is written as a sum of three terms.

Therefore, 3 is a constant, 4 is the coefficient, 5a+3+4b is written as a sum of three terms are the true statements.

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Answer:

2.25

Step-by-step explanation:

k = 13.5 ÷ 6 = 11.25 ÷ 5 = 4.5 ÷ 2 =  2.25

According to the solution we have come to find that, The two errors that Emma made are: She should have used division to represent the quotient of six and x and she should have used parentheses to show that Negative 2 is multiplied by (x minus 4.5).

Division is a mathematical operation that is the opposite of multiplication. It involves dividing a number (the dividend) by another number (the divisor) to find how many times the divisor can fit into the dividend.

The two errors that Emma made are:

The correct translation of the statement is:

6 ÷ x = -2(x - 4.5)

The division symbol should be used to represent the quotient of six and x, and parentheses should be used to show that negative 2 is multiplied by (x - 4.5) instead of just x.

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Answer: A and C are the two options

The interquartile range of the set of values given is: 11 - 4 =7

To find the interquartile range, you first begin by defining the lower half, the median, and the upper half. The median of the set of figures given is 8. Then the upper half begins at 11 while the lower half begins and ends at 4.

So, to define the interquartile range, we would subtract 7 from 11 to get 4. So, the interquartile range of the values in the dataset is 4.

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Complete Question:

A data set is made up of these values 3,4,5,8,9,11,12 Find the interquartile range

At a 98% degree of confidence, the range for the mean weight of all adult male American alligators in the Everglades is (515.91, 524.09) pounds.

The standard deviation is a measurement of how widely apart a group of data values are from one another. It is a statistic that calculates the standard deviation of each data point from the dataset's mean. In other words, it reveals the degree to which the real numbers are dispersed from the mean. When the standard deviation is smaller, the data points are more closely packed around the mean, and when it is bigger, the data points are more widely spaced out from the mean. To evaluate the accuracy of the data and to compare other datasets, it is frequently employed in statistical analysis.

given

Using this formula, we can determine the margin of error (E):

where z* is the crucial value for the specified level of confidence.

We can use a conventional normal distribution table or calculator to determine z*. The value of z* for a 98% confidence interval is 2.33. (approximately).

When we change the values, we obtain:

E is equal to 2.33 * (18/89) 4.09 pounds.

Around 4.09 pounds are in the error zone.

Use the following formula to determine the confidence interval:

When we change the values, we obtain:

CI = 520 ± 4.09

CI = (515.91, 524.09) (515.91, 524.09)

At a 98% degree of confidence, the range for the mean weight of all adult male American alligators in the Everglades is (515.91, 524.09) pounds.

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Which of the following is an example of distributive property of multiplication over addition for rational numbers

(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)

(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6

(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4

The distributive property of multiplication states that:

a * (b + c) = (a * b) + (a * c)

From the given question, we have:

-3/4 × {2/3 + (-5/6)}

This means that:

a = -3/4

b = 2/3

c = -5/6

Recall that a * (b + c) = (a * b) + (a * c)

So, we have:

-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

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Answer:

1.5

Step-by-step explanation:

Answer:

3.50$

Step-by-step explanation:

Since a nickel is 5 cents, you would do 5 x 60 which would equal 300, which is 3 dollars.

Since a penny is worth 1 cent, you would do 1 x 50 and get 50 cents, which is half a dollar.

3 + .5 = 3.50

Hope this helps!

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