What meaning of the statement this?

Answer:

yes, none of the y values repeat themselves.

slope=2

slope-int form= y=2x+7

Step-by-step explanation:

Answer:

At the very most, Daniel can go on 14 rides. $25 - $4 = $21, $21 divided by $1.50 = 14. Hope this helped :)

Step-by-step explanation:

The original sidelength of the cube is 3 inches.

Let's say that the side length of the cube is S. We know that if remove a slice of 1 inch thick, the volume remaining on the cube is 18 in³, then we can write:

18  = S*S*(S - 1)

18 = S^3 - S^2

Then we need to solve the equation:

S^3 - S^2 - 18 = 0

This is actually hard to solve, but clearly a solution is S = 3.

18 = 3^3 - 3^2

18 = 27 - 9 = 18

So the side length of the cube is 3 inches.

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To evaluate xy + 2x - 2y, we need to replace x by 2 and y by -4 as:

So, solving the multiplication and then adding the numbers, we get:

Answer: 4

Answer:

Top Middle in the top column, rest bottom i think

Step-by-step explanation:

She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.

Answer: 2.5

Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.

Answer:

Center ( -8, 1 )

Radius ( 13 )

Answer:

583

Step-by-step explanation:

The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b  

where a and b are integers.

Irrational numbers are those real numbers which are not rational numbers.

Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

A composite number is a number divisible by another number than 1 and the number itself.

To find example, a sum of two composite numbers, which is not a composite number, is needed.

The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.

Hence so the correct option is D.

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Answer:

6 rooms.

Step-by-step explanation:

3 x 2 = 6

it takes 2 halves to make a whole so 3 x 2 = 6

Answer:

Step-by-step explanation:

We can use the formula for a confidence interval for the population mean:

CI = x¯¯¯ ± z*(σ/sqrt(n))

where:

x¯¯¯ is the sample mean, which is 81.

σ is the population standard deviation, which is 11.8 (assuming the sample is drawn from a normally distributed population).

n is the sample size, which is 175.

z is the z-score corresponding to the desired level of confidence, which is 2.33 for a 98% confidence level.

Substituting the known values, we get:

CI = 81 ± 2.33*(11.8/sqrt(175))

Calculating this expression, we get:

CI ≈ (79, 83)

Therefore, a 98% confidence interval for the population mean is approximately (79, 83).

Therefore, the answer is (B) (79, 83).

\(\text{Let the number be x,}\\\\~~~~~~4x =x+18\\\\\implies 4x -x = 18\\\\\implies 3x = 18\\\\\implies x = \dfrac{18} 3\\\\\implies x = 6.\\\\\text{The number is 6.}\)

Answer:

6

Step-by-step explanation:

Let the number be " x ".

Four times a number,

4*x = 4x

Number increased by 18,

x + 18

Four times a number is equal to the number increased by 18,

4x = x + 18

Step 1 : Subtract x on both sides

4x - x = 18

3x = 18

Step 2 : Divide 3 on both sides

x = 18/3

x = 6

Hence,

the number is 6.

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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Answer:

you're right, a=1 b=7 c=19

Step-by-step explanation:

Answer:  4

Step-by-step explanation:

To fit the maximum amount of people in one row, you would have 3 couples and 1 single = 7 parents.

If we continue the maximum amount of people for 7 rows, we get 49 parents seated.

Since a total of 54 parents are seated, that leaves 54 - 49 = 5 parents remaining to be seated in the last row.  These parents can be seated as 2 couples and 1 single. If you put the single at the end of the row, there will be 4 seats between the couple and the single.

Couple, Couple, Open, Couple, Couple, Open, Open, Open, Open, Single

Answer: -6

if a=1 then -48a=-48

so when we divide by 8 we ger -48/8 which is -6

The solution to -48a divided by 8 when a =1  is -6.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6. Complex riddles are solved using mathematical expressions.

Given:

-48a divided by 8 when a =1 .

Now, put a=1 in -48a

=-48 x 1

=48

Now, -48 is divided by 8

=-48/8

= -6

Hence, the solution is -6.

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Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

only if I know how, otherwise I'll try and help

Step-by-step explanation:

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = 4x

The above expression is a linear equation that implies that:

Slope = 4

y-intercept = 0

Next, we plot the graph using a graphing tool

One of the points on the line is (1, 4)

See attachment for the graph of the equation

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Answer:

37/25= 148%

Step-by-step explanation:

make it a mixed fraction the a percentage

Because Alicia chose a random sample, the answer is (A).

Regardless of the population distribution's shape, the Central Limit Theorem states that as sample size rises, the sampling distribution of the sample means tends to resemble a normal distribution. 40 pairs of Brand A shoes and 33 pairs of Brand B shoes were randomly chosen by Alicia, meeting the Central Limit Theorem's minimum sample size criterion. Hence, even though the distribution of Brand A shoes contains outliers, the sampling distribution of the difference in sample means is roughly normal. The Central Limit Theorem can be applied without assuming a particular population size or sample size, provided that the sample is independent and random.

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The correct answer is (C) Yes, because the size of each sample is at least 30.

The Central Limit Theorem (CLT) states that the sampling distribution of the mean of a sufficiently large number of independent and identically distributed random variables will be approximately normal, regardless of the population distribution, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The Central Limit Theorem states that the sampling distribution of the difference in sample means will be approximately normal as long as the sample sizes are large enough, typically n≥30.

Therefore, the fact that Alicia's sample sizes are 40 and 33 respectively ensures that the sampling distribution is approximately normal, even with outliers in Brand A.

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Answer:

6 +2v

Step-by-step explanation:

This is distributive property. That means you will multiply each term inside the parentheses by the term on the outside of the parentheses.

2(3 + v)

2(3) + 2(v)

6 +2v

Using a trigonometric relation we can see that x = 83.7

We can see that x is the hypotenuse of the given angle, and we know the measure of the adjacent catehtus to the given angle, then we can use the trigonometric relation:

cos(48°) = 56/hypotenuse

cos(48°) = 56/x

Solving that for x, we will get:

x = 56/cos(48°) = 83.7

That is the value.

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There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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