How do I answer this?

Answer: Round 39 to the nearest 10 is 40

Step-by-step explanation:

Answer:

j =12 you have to combine like terms which is all and then it will give u 12

Answer:

this problem is actually already solved the slope is 7 or 7/1 and the y -intercept is 8.

hope this helped!

Step-by-step explanation:

Money she makes=$140

since she saves 4/5 of the money she earns that means that: 4/5×140 = $32

This means that she saves $32 out of $140 she makes or earn

Two lines are parallel if their slopes are equal.

In this case, the solpe of the line must be -1/2. Also the line passes through point (5,2) so:

The line is y = -1/2 + 9/2

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

y = 5/2 x+19

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 5/2 x+b

Substituting the point into the equation

4 = 5/2(-6) +b

4 = -15+b

Add 15 to each side

19 =b

The equation is

y = 5/2 x+19

Answer:

The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (ab)c = a(bc).

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer:

Correct option is B)

n(AUB)=n(A)+n(B)−n(A∩B)

     =75+45−35

=85

number of students owing car or stereos=85

number of students neither car nor stereo =100−85=15

The number of students who do not own either a car or an iPod is 25.

Union of two given sets is the smallest set which contains all the elements of both the sets.

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets

The union of two sets is given by

n(A∪B) = n(A) + n(B) -n(A∩B)

Where,

A and B are the two sets.

∪ is the union

∩ is the intersection.

According to the given question.

Total number of students in a college = 100

Total number of students who own iPods, n(A) = 55

Total number of students who own cars, n(B) = 25

Number of students who own both cars and iPods, n(A∩B) = 5

Therefore,

The number of students who own cars or iPods is given by

n(A∪B) = n(A) + n(B) - n(A∩B)

⇒n(A∩B) = 55 + 25 - 5

⇒ n(A∪B) = 75

So, the number of students who do not own either a car or an iPod

= 100 - 75

= 25

Hence, the number of students who do not own either a car or an iPod is 25.

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The best-fit line is ŷ = 2233.3x + 39940. The correct option is D.

A regression line is an estimate of the true, but unknown, linear relationship between the two variables. The regression line equation is used to predict (or estimate) the value of the response variable given a value of the explanatory variable.

The line of fit, where x represents the number of years of experience and ŷ represents the salary will be written as:-

ŷ = 2233.3x + 39940

Here, x is the independent variable and y is the dependent variable. The correct option is D.

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Using the inverse function, it is found that the equation is:

\(P(t) = \frac{e^{0.1t}}{50} + 20\)

It's initial value is 20.

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

We want to find the inverse of:

\(y = P^{-1}(t) = 10\ln{50t - 1000}\)

To do this, we exchange y and t, and isolate y.

Then:

\(10\ln{50y - 1000} = t\)

\(\ln{50y - 1000} = \frac{t}{10}\)

\(e^{\ln{50y - 1000}} = e^{0.1t}\)

\(50y - 1000 = e^{0.1t}\)

\(50y = e^{0.1t} + 1000\)

\(y = \frac{e^{0.1t} + 1000}{50}\)

\(y = \frac{e^{0.1t}}{50} + \frac{1000}{50}\)

\(P(t) = \frac{e^{0.1t}}{50} + 20\)

It's initial value is:

\(P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02\)

Rounding, 20.

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Answer:

P = 1/50e^0.1t + 20

Step-by-step explanation:

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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1. An equation that represents "the amount of tax on an item of price p",

t = p x X / 100

2. Marta does pay on an item whose price is $20, $1.6

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Tax rate = 8%

1. Let's assume that the sales tax rate is X%.

Then, the equation that represents the amount of tax (t) Marta pays on an item whose price is p can be written as:

t = p x X / 100

2. If the price of the item is $20, the amount of tax Marta pays can be calculated as follows:

t = $20 x X / 100

t = $20 x 8 / 100

t = $1.6

So, Marta pays $1.6 in sales tax on an item whose price is $100.

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Answer:

8x+9x+(180-5x) = 360

17x+180-5x = 360

12x+180 = 360

12x = 360-180

12x = 180

x = 15

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.

Given, number of students name put into the hat = 20

total number of freshmen in the class = 12

total number of sophomore in the class = 6

total number of juniors in the class = 2

we are asked to determine the probability that the sophomore will be selected the second day also = ?

Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.

from the given data,

n(s) = 20

n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.

⇒ P(A) = n(A)/n(s)

P(A) = 6/20

P(A) = 3/10

hence the probability that the another day again a sophomore will be chosen is 3/10.

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Answer:

C or D it’s hard to see if the bottom of the shape is a square or rectangle.

Step-by-step explanation:

If rectangle C if squared D

I would go with C

Answer:

a

The number of linearly independent vectors needed to span M2,4. N =8

b

The dimension of    \(M_{2,4}\) is 8

Step-by-step explanation:

 From the question we are told that  

        The  vector space is an \(M_{2,4}\) matrix

Now the number of linear linearly independent vectors needed to span M2,4.

is  evaluated as

      \(N = 2 * 4 = 8\)

this is due to the fact that each entry of the matrix is independent

Given that there are eight  independent  in the vector space the dimension of

  \(M_{2,4}\) is 8

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

Since there is vector space i.e. M2, 4

So, here n be = 2(4) = 8

Also, each entry of the matrix should be considered independent. Therefore, the dimension should also be 8.

Hence,

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

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Answer:

7 1/3

Step-by-step explanation:

See image below:)

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

\(\frac{1}{15}\)

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

\(x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}\)

Answer:

Slope 3/5

Step-by-step explanation:  

y=3/5x-47/5

Answer:

Step-by-step explanation:

False. They have one point in common meaning there is only 1 solution.

Answer:

angle 2 and 4....1and 3

Step-by-step explanation:

the lines bisects each other forming two equal but adjacent angles which are vertically opposite

Answer:

B) Jet ski rental costs $20 initially plus $15 for each hour.

Step-by-step explanation:

The equation of a line has the following format:

\(y = mx+b\)

In which m is the slope, which having two points on the line, is given by the change in y divided by the change in x, and b is the y-intercept, which is the value of y when \(x = 0\).

Passes through point Y (0, 20):

This means that \(b = 20\). So

\(y = mx+20\)

Slope:

Through points (0,20) and (4,80). So

Change in y: 80 - 20 = 60

Change in x: 4 - 0 = 4

Slope: 60/4 = 15

So

\(y = 15x+20\)

Situation:

We want a situation in which we have a fixed fee of 20, and then for each unit of time or of the product, and increase of 15. So the correct option is B