Why can't we rewrite the math sentence 4+4+4+4+4+4 with an exponent?

answer:

192

(the pattern is dividing each number by 4, if you need it)

The rate of change is meaning the slope. The slope of A is 8, therefore, the answer would be 7.

hope this helps :)

Two conclusions that the researcher can make from the coefficient of determination of 0.542 are:

b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

e.) About 46% of the variation in distance that the driver can see is not explained by the linear relationship with the driver's age, and may be due to other factors.

Option a is incorrect because the question does not provide the correlation coefficient. Option c is incorrect because the coefficient of determination does not provide information about the variation in the driver's age. Option d is also incorrect because the provided value does not match with any possible correlation coefficient for this situation.

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The likelihood that the CD rack will be organized alphabetically is 1 in 28.

The first step is to count all conceivable arrangements.

Use combinations if you want to organize 6 of the 8 CDs. Combinations can be calculated using the formula C(n, r) = n! / [r!(n - r)!!], where n denotes the total number of items and r denotes the number of items being selected. Here, n = 8 and r = 6, respectively.

C(8, 6) = 8! / [6!(8 - 6)!] = 8! / [6!2!] = 28

The six CDs can therefore be organized in 28 different ways.

Step 2: Count how many configurations lead to an alphabetical order.

When they are placed precisely in that sequence, there is only one configuration in which the CDs are organized alphabetically.

3. Determine the likelihood.

Probability equals the product of the number of successful outcomes and the total number of conceivable outcomes.

Probability equals 1/28

You want to put 6 of the 8 CDs you have in this issue in a CD rack. We discover that there are 28 different possible arrangements using combinations. Only one of these configurations causes the CDs to be arranged alphabetically. As a result, there is a 1/28 chance that the CD rack will be organized alphabetically.

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Answer:

The first

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The slope is 1/2. The x-intercept is (2,0). The y-intercept is (0,-1)

Answer:

The slope is 1/2x and -1 is the (y) intercept

Step-by-step explanation:

m is the slope and b is the intercept

23p is the largest amount that can't be made with these coins.

The problem you are referring to is known as the "Frobenius coin problem" or the "Coin-change problem." In this case, we have coins of denominations 5p and 7p, and we want to find the largest amount that cannot be made using a combination of these coins.

To solve this problem, we can use a mathematical concept called the "Frobenius number." The Frobenius number is given by the formula:

Frobenius number = (5p * 7p) - (5p + 7p)

In this case, the Frobenius number is:

Frobenius number = (5 * 7) - (5 + 7) = 35 - 12 = 23

Therefore, the largest amount that cannot be made using only 5p and 7p coins is 23p.

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Answer:

1)

Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

2)

Let x be the number of miles.

Then, we have inequality: 8x+2<=10

Solve the inequality: 8x+2<=10

Subtract 2 from both the sides:

8x+2-2<=10-2

Simplify

8x<=8

:

Divide by 8 both sides we get

x<=1;  

as shown in figure 1.

4)  

From the context of the problem :

we can say that Paul can travel 1 miles or less before reaching his limit of $10.

Step-by-step explanation:

R1 satisfies the reflexive, antisymmetric, and transitive properties. R2 satisfies the reflexive and symmetric properties. R3 satisfies the reflexive and symmetric properties. S1 satisfies the reflexive and transitive properties. S2 satisfies the symmetric property. S3 satisfies none of the five properties.

R1:Reflexive: for all x∈N, x|x, since x divides itself.

Antisymmetric: if (x,y)∈R1 and (y,x)∈R1, then x|y and y|x, so x=y.

Transitive: if (x,y)∈R1 and (y,z)∈R1, then x|y and y|z, so x|z.

R2:Reflexive: for all x∈N, x+x=2x is even, so (x,x)∈R2.

Symmetric: if (x,y)∈R2, then x+y is even, so y+x is even, hence (y,x)∈R2.

R3:Reflexive: for all x∈N, x*x=x² is even, so (x,x)∈R3.

Symmetric: if (x,y)∈R3, then xy is even, so yx is even, hence (y,x)∈R3.

S1:Reflexive: for all y∈N, 2|2y, so (2,y)∈S1.

Transitive: if (2,x)∈S1 and (x,y)∈S1, then x|z and y|x, so y|z, hence (2,y)∈S1.

S2:Symmetric: if (2,x)∈S2, then 2+x is odd, so x+2 is odd, hence (x,2)∈S2.

S3:S3 does not satisfy any of the five properties. For example, (1,3) and (3,2) are in S3, but (1,2) is not. Therefore, S3 is not reflexive, not symmetric, not antisymmetric, not transitive, and not total.

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490

472 <490<500

it fits the criteria

To find the area of a sector, we use the formula:

A = (theta/360) x pi x r^2

where A is the area of the sector, theta is the central angle in degrees, pi is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In this case, we are given that r = 25 cm and theta = 130 degrees. Substituting these values into the formula, we get:

A = (130/360) x pi x (25)^2

A = (13/36) x pi x 625

A ≈ 227.02 cm^2

Therefore, the area of the sector with radius 25 cm and central angle 130 degrees is approximately 227.02 cm^2. <------- (ANSWER)

When procedures are mandated by third party payers, the modifier -32 (mandated services) is used. This modifier is used to indicate that a service or procedure is mandated by a third party payer, such as Medicare or Medicaid.

It is used to ensure that the service or procedure is reimbursed appropriately and to avoid denials. The use of the -32 modifier is important to accurately reflect the requirements of the payer and to avoid any potential billing or coding errors. It is important to check with the specific payer to determine if the use of this modifier is required for a particular service or procedure.

When procedures are "mandated" by third-party payers, you would use the modifier -32. This modifier indicates that a service or procedure is being performed due to specific requirements from a third-party payer. It helps to provide the necessary information for reimbursement and ensures that the claim is processed correctly by the payer. Remember to attach the modifier -32 to the appropriate procedure code on the claim form when submitting it to the third-party payer. This will help avoid any potential delays or denials in payment due to insufficient documentation.

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Answer:

0.4

2.5

16

12

Step-by-step explanation:

Answer:

x=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

x+5=2(7+x)

Step 1: Simplify both sides of the equation.

x+5=2(7+x)

x+5=(2)(7)+(2)(x)(Distribute)

x+5=14+2x

x+5=2x+14

Step 2: Subtract 2x from both sides.

x+5−2x=2x+14−2x

−x+5=14

Step 3: Subtract 5 from both sides.

−x+5−5=14−5

−x=9

Step 4: Divide both sides by -1.

−x

−1

=

9

−1

x=−9

Answer:

x=−9

HOPE I HELPED :)

-lvr

On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.

In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:

(4x + 7y) + (9x + 13y) = 17 + 46

Combining like terms on both the sides, we will be getting ,

13x + 20y = 63

Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be  13x + 20y = 63.

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The complete question is :

4x +7y= 17

9x + 13y = 46

when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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The total number of students in the sample who visited city bars every weekend is an example of a count or a discrete variable.

In this scenario, the chancellor of Ferris State University wanted to investigate the portion of students who visited city bars every weekend. To gather data, the advisor took a random sample of 250 students from the university. The variable of interest, in this case, is the number of students in the sample who visited city bars every weekend.

Since the variable represents a count of students, it is a discrete variable. Discrete variables take on specific values and cannot be divided into smaller units. In this context, the total number of students who visited city bars every weekend in the sample can only be a whole number, such as 0, 1, 2, and so on.

Count variables are commonly used in statistical analysis to study events or behaviors that can be counted, such as the number of occurrences of an event, the number of individuals in a category, or in this case, the number of students who visited city bars every weekend. By examining the count variable, researchers can gain insights into the prevalence or frequency of a particular behavior or event within a population.

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Answer:

1. 15

2. -23

3. -16

Step-by-step explanation:

1. Find h(-8)

h(t) = \(\frac{5}{4}(4 - t)\)

h(-8) = \(\frac{5}{4}(4 -(-8))\)

h(-8) = \(\frac{5}{4}(4+8) =\frac{5}{4}(12)=5(3)=15\)

2. What is the value of g(-3)

g(x) = 4(x - 5) + \(x^{2}\)

g(-3) = 4(-3 - 5) \(-3^{2}\)

g(-3) = 4(-8) + 9

g(-3) = -32 + 9

g(-3) = -23

3. Find f(10)

f(x) = 14 - 3x

f(10) = 14 - 3(10)

f(10) = 14 - 30

f(10) = -16

Answer: 1. 15. 2. -23. 3. -16. 4. 25 and 129. 5. -1/3 and 41. 6. 3.

Step-by-step explanation: Hi there! Let's get started.

For #1 we insert -8 into the function that has h(t) since the first question has h(t) function, so 4 - (-8) is 12, then multiply by 5/4 to get 15.

Keep in mind each question has a corresponding function, just look at which letter matches with which.

For question 2 we insert -3 into the x values of the g function to get -32 + 9, which is -23.

For question 3 we insert 10 to get 14-30 = -16. For #4 we have to insert 5 into g and p functions. First we do g which would equal 4(5-5) + 5^2(or 25)

to get 25. And for p function we do (5+7)^2 - 15 which is 5+7=12, 12^2+144, 144 - 15 = 129.

For #5 we do the same thing but with -9 for r and f functions, for r we do -9+13/-9-3 which equals 4/-12 which is -1/3, for f function we do 14 - -3(-9) which is 14 + 27 which equals 41. And finally, for #6 we do 3+13/3-3 which equals 16/0, but we can't divide by zero, so 3 would be the x value for #6.

Hope this helps!

I would appreciate Brainliest!

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

Since, Triangle ACD

ΔACD is a right angle triangle.

Therefore, Pythagoras theorem can be used to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

Hence,

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

Triangle ABC

ΔABC is a right angle triangle too. Therefore,

AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

Hence,

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

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Answer:

b = -4

Step-by-step explanation:

The formula for b is

       -b

x = -------  and so  -b = 2ax, or b = -2ax

       2a

if the axis of symmetry is known, but we need b, substitute the given x and a values to find b:

b = -2(2) = -4

b = -4

The function is then y = 2x^2 - 4x + 10

The total number of laps Sarah should run today is given by the equation A = 16 laps

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of laps be represented as A

Now , the equation will be

The total distance ran by Sarah yesterday = 3,682 m

The distance of one lap = 263 m

So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap

Substituting the values in the equation , we get

The number of laps ran by Sarah yesterday = 3682 / 263

The number of laps ran by Sarah yesterday = 14 laps

Now ,

The distance Sarah wants to run today = 4,222 m

So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap

Substituting the values in the equation , we get

The number of laps Sarah should run today A = 4,222 / 263

The number of laps Sarah should run today A = 16.05 laps

The number of laps Sarah should run today A = 16 laps

Therefore , the value of A is 16 laps

Hence , the number of laps is 16 laps

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The equation line of the of the road in slope-intercept form is; y = 2·x - 10

The standard form of the equation of a line is Ax + Bx + C, where A, B, and C are constants and A and B are nonzero numbers.

The parameters for the new road are;

The road will be parallel to village way with points (0, 5), and (-4, -3)

The road will pass through the intersection  of Gray Dr and Canon Rd., which is the point with coordinates (3, -4)

Required; The equation of the road

Since the new road is parallel to Village Way, which has slope;

m = (5 - (-3))/(0 - (-4)) = 8/4 = 2

The slope of the new road will also be 2.

Let the equation of the new road be y = m·x + c, where m = 2 is the slope we just found. To find c, we use the fact that the road passes through the point (3, -4);

y - (-4) = 2 × (x - 3)

y = 2·x - 6 - 4 = 2·x - 10

y = 2·x - 10

Therefore, c = -10

Therefore, the equation of the new road in slope-intercept form, therefore is; y = 2·x - 10

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Answer:

y = 03

Step-by-step explanation:

3(y+8) = 30

3y+24=30

3y=06

y = 06/2

y = 03

2y - 6y = 30

-4y = 30

y = - 15/2

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

Answer:

it is abd

Step-by-step explanation:

it will be n*2+20

Hope this helps! :D