Maria used a hundred chart to find a sum. She started at 57 then she moved down 3 rows and back 2 spaces which number did she land on

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

If we consider the position of the person at t = 0, which is:

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

Two or more expressions with an Equal sign is called as Equation. x is -6 and 7 for equations y = x² + 4x and y = 2x² + 3x - 6

Two or more expressions with an Equal sign is called as Equation.

The given two equations are

y = x² + 4x

y = 2x² + 3x - 6

Let us simplify these equations as below.

x² + 4x-y=0..(1)

2x² + 3x -y= 6..(2)

subtract equations (2) from (1)

x² + 4x-y-2x² - 3x+y=-6

-x² +x=-6

x(-x+1)=-6

x=-6

and -x+1=-6

Subtract -1 from both sides

-x=-7

x=7

Hence solution of x is -6 and 7 for equations y = x² + 4x and y = 2x² + 3x - 6

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Consider that the equation of a line with slope 'm' and y-intercept 'c' is given by,

Consider the given equation of line,

Comparing the coefficient, it is found that the slope of the given line is 3,

Let 's' be the slope of the line which is perpendicular to this line.

Consider that two lines will be perpendicular if their product of slopes is -1,

So the slope of the perpendicular line is given by,

Now, it is given that this line passes through the point (-2,5), so it must satisfy the equation of the line,

Substitute the value of 'c' to get the final equation,

Thus, the required equation of the perpendicular line is x + 3y = 13 .

Below question can be answered by finding the quotient of :

C. Jared has of an hour left to finish making goodie bags. It takes him of an hour to make each goodie bag. How many goodie bags can he make?

In arithmetic, a quotient is a number obtained by dividing two numbers. A quotient is widely used throughout mathematics and is often referred to as the whole number or fraction of a division or  ratio.

The number we get when we divide a number by another is the quotient. For example,  8 ÷  = 2; here the result of  division is 2, so it is a quotient. 8 is the dividend and  is the divisor.

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Given:

Rectangle CARD: {length = 2x-5 and width = 6x+10}

Triangle BEST: {length = 10x+3 and width = 4x-7}

To find the differnce, let's first the perimeter of both.

Perimeter of rectangle CARD: 2(length + width)

= 2(2x - 5 + 6x + 10)

= 2(2x + 6x - 5 + 10)

= 2(8x + 5)

= 16x + 10

Perimeter of triangle BEST: 2(length + width)

2(10x + 3 + 4x - 7)

= 2(10x + 4x + 3 - 7)

= 2(14x - 4)

= 28x - 8

Therfore, the difference between both of them is calculated below:

(28x - 8) - (16x + 10)

= 28x - 8 - 16x + 10

= 28x - 16x - 8 10

= 12x - 18

ANSWER:

12x -

ANSWER

Option D - The area of this triangle is one-half of that of a square that has area of 12 square units

EXPLANATION

We want to the best description of the area of the triangle given.

To do this, we have to first find the area of the triangle.

The area of a triangle is given as:

Where b = base and h = height

From the diagram, we have that:

b = 4 units

h = 3 units.

Therefore, the area of this triangle is:

Checking through the options, we see that the only correct option is Option D.

This is because the area of this triangle (6 square units) is one-half of that of a square that has area of 12 square units

Answer:

10.8 hours or 648 minutes

Step-by-step explanation:

1. Find a factor of 15 and 18 kilometers. A similar factor is 3.

2. Find how long it will take the turtle to swim 3 kilometers.

3. Divide 9 by 5 which is how long it takes to swim three hours. (Keep it in a fraction for now)

4.Multiply 9/5 by 6 to get 18 hours; which is 10.8 hours.

If Sale terms were 4/10, n/30 FOB Boston and Jordan’s agreed to prepay the $400 freight. Lee pays the invoice within the discount period. The amount that  Lee pay Jordan’ s is $7,120.

Using this formula

Amount received = [ ( Cost of computer equipment × ( 1 - rate )] + Freight

Let plug in the formula

Amount received = [ $7,000 × ( 1 - 0.04) ] +$400

Amount received = ( $7,000  x  .96 ) + $400

Amount received = $6,720  + 400

Amount received  =   $7,120

Therefore Lee pay Jordan the amount of $7,120.

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n = number of nickels

d = number of dimes

1 nickel = 5 cents

1 dime = 10 cents

total number of 21 coins:

n + d = 21

Total value = $1.70

5n + 10 d = 170

Divide by 100

0.05n + 0.10 d = 1.70

Answer:

n + d = 21

0.05n + 0.10 d = 1.70

The binomials x - 4, x + 1 and 2 · x - 3 are factors of the polynomials.

Herein we know the x-values of a polynomial such that the expression is equal to zero. Mathematically speaking, these x-values are known as roots and the mathematical expressions that contain them are known as factors, which are represented by binomials of the form:

a · r - b = 0

Where a, b are real coefficients.

If we know that x₁ = 4, x₂ = - 1, x₃ = 3 / 2, then the factors of the polynomials are listed below:

x₁ = 4:

x - 4 = 0

x₂ = - 1:

x + 1 = 0

x₃ = 3 / 2

2 · x - 3 = 0

x - 4, x + 1 and 2 · x - 3 are factors of the polynomials.

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Using the normal distribution and the central limit theorem, it is found that:

a) The distribution is approximately N(145, 1.71).

b) P(143 < X < 148) = 0.8389.

c) The 70th percentile of the distribution is of 145.90 minutes.

d) The median is of 145 minutes.

The z-score of a measure X of a variable that has mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In the context of this problem, the parameters are defined as follows:

[tex]\mu = 145, \sigma = 12, n = 49, s = \frac{12}{\sqrt{49}} = 1.71[/tex]

The distribution of sample means is approximately:

N(145, 1.71) -> Insert the mean and the standard error.

The normal distribution is symmetric, hence the median is equal to the mean, of 145 minutes.

For item b, the probability is the p-value of Z when X = 148 subtracted by the p-value of Z when X = 143, hence:

X = 148:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (148 - 145)/1.71

Z = 1.75

Z = 1.75 has a p-value of 0.9599.

X = 143:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (143 - 145)/1.71

Z = -1.17

Z = -1.17 has a p-value of 0.1210.

Hence the probability is:

0.9599 - 0.1210 = 0.8389.

The 70th percentile is X when Z has a p-value of 0.7, so X when Z = 0.525, hence:

[tex]Z = \frac{X - \mu}{s}[/tex]

0.525 = (X - 145)/1.71

X - 145 = 0.525(1.71)

X = 145.90 minutes.

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The graph is

its a upword parabola and vertex of graph is (0,1)

the point on a graph x=-2

so graph of function is :

(B)

the coordinate of graph then x=1

the value of y is 2 then value of x=1

In general, a function f(x) means that the input is x and the output is f(x) (or simply f).

Therefore, in our case, the input is the length of the race and the outcome is the time.

The given expression is

Let's replace z = 12.8.

You have the following expression:

3x + 2y = 12

the best method to graph the previous expression is by intercepts.

In this case, you make one of the variables zero and solve for the other one. Next, repeat the procedure wi

Answer:

Yes

Step-by-step explanation:

The equations need to be in slope intercept form. The first equation is but the second one isn't. Solve the second equation for y to put it in slope intercept form.

x + y = 17

x - x + y = 17 - x

y = -x + 17

To determine if they are parallel the slopes need to be the same.

y = -1x + 3

y = -1x +17

The slope are both -1, so they are parallel

Answer:

Yes

Step-by-step explanation:

Given trhat a car used 15 gallons of gasoline to cover 315 miles.

The expression that will be used to determine the unit rate of miles per gallon of gasoline is:

ANSWER:

start at 4 on the positive y axis, then go up 3 and 5 to the left

We know the trip from Council Bluffs to Dubuque had a total distance of 348 miles; if we take the same route to go back this will mean that we need to travel the same distance, 348 miles. The total distance then we will be 696 miles.

We have that

So the answer is: 66.6666 .

ANSWER

g'(0.1) = 4

EXPLANATION

As stated, g(x) is a composition of two functions: f(x) and 2x. To find its derivative, we have to use the chain rule,

So, the derivative of g(x) = f(2x) is twice the derivative of f(x) and, therefore,

Hence, g'(0.1) = 4.

Step 1

Given the zero, 1, we can use synthetic division to acquire the other factors

Using synthetic division we will write out all coefficients of the terms of h(x) and proceed thus

1 | 1 -3 -2 +4

1 -2 -4

-----------------------

1 -2 -4 0

Hence the quadratic equation we will need to split into linear factors is given as

Since the remainder is 0

Step 2

Factorize the quadratic equation above completely

Where

a= 1

b= -2

c= -4

Hence the product of linear factor will be

Answer

Expected number of paintings that a randomly chosen exhibit has = 40.3

Explanation

The expected value of any distribution is calculated as the mean of that distribution.

The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.

Mean = (Σx)/N

x = each variable

Σx = Sum of the variables

N = number of variables

Σx = (9 × 2) + (21 × 1) + (40 × 1) + (46 × 3) + (52 × 1) + (67 × 2)

Σx = 18 + 21 + 40 + 138 + 52 + 134

Σx = 403

N = 2 + 1 + 1 + 3 + 1 + 2 = 10

Mean = (Σx)/N

Mean = (403/10) = 40.3

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We have to find the probaiblity of winning a split bet in roulette.

Then, we will have 2 numbers that will make us wind the bet out of 37 numbers that make the sample space.

We can then calculate the probability of winning the split bet as the quotient between the number of success outcomes (2) and the number of possible otucomes (37):

We can transform this into the odds of winning by taking into account that if 2 are the success outcomes, then 37-2 = 35 are the failure outcomes.

Then, the odds of winning are 2:35.

We now have to calculate the expected value for a $1 bet.

We know the probabilities of winning and losing, but we don't know the value or prize for winning.

The payout for a split bet is 17:1, meaning that winning a split bet of $1 has a prize of $17.

Then, we can use this to calculate the expected value as:

This means that is expected to win $0.9189 per $1 split bet.

Answer:

Probability of winning: 2/37 ≈ 0.054

Odds of winning: 2:35

Expected value of $1 split bet (17:1 payout): $0.9189

Substitute arbitrary values of x for which -10 < h(x) < 10.

In this instance, we can use x = 1, and x = -1

Therefore, the points that fits in the grid in the function h(x) are (1, -0.625) and (-1, 0.625).

6. -2

7.-38

8.-15

9.0

10.-13

11.-30

12.38

13.33

14.-23

A matrix being in row echelon form means that Gaussian elimination has operated on the rows.

A matrix is in reduced row echelon form (also called row canonical form) if it satisfies the following conditions:

- It is in row echelon form.

-The leading entry in each nonzero row is a 1 (called a leading 1).

-Each column containing a leading 1 has zeros in all its other entries.

The matrix presented on the problem satisfies all conditions, therefore, the matrix is indeed in reduced row-echelon form.

Answer:

H = 32 cm

Explanation:

The area of a cylinder is given by

Now solving for h gives

Now V = 438.08 π and r = 3.7 cm. Putting these values in the above equations gives

which is our answer!

Using the combination formula, it is found that:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials. It is used when the order in which the elements are chosen does not matter.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In the context of this problem, we have that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

[tex]C_{28,7} = \frac{28!}{7!21!} = 1,184,040[/tex]

For two defective tablets, the selections are given as follows:

Hence the number of selections is calculated as follows:

[tex]C_{23,5}C_{5,2} = \frac{23!}{5!18!} \times \frac{5!}{2!3!} = 336,490[/tex]

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Answer:

1040 × 33.0 =

33,280

tenths= 33.3km\s