sin θ > 0 and tan θ < 0 then:

[tex]A=100\pi\text{ ft}^2\\V=?\\\\V=\dfrac{4}{3}\pi r^3\\r=?\\\\100\pi=4\pi r^2\\r^2=25\\r=5\text{ ft}\\\\V=\dfrac{4}{3}\pi \cdot 5^3=\dfrac{500}{3}\pi \text { ft}^3[/tex]

Final answer:

The quadratic expression 3x²-8x+5 is factored by finding two numbers that multiply to 15 and sum to -8, resulting in the factorization (3x-5)(x-1).

Explanation:

The factorization of the quadratic expression 3x²-8x+5 can be found by looking for two numbers that multiply to give the product of the coefficient of x² (which is 3) and the constant term (which is 5), and also sum to give the coefficient of x (which is -8). These numbers are -5 and -3, as (-5) × (-3) = 15 (which is 3 × 5) and (-5) + (-3) = -8. Therefore, the expression can be factored as (3x-5)(x-1).

The probability that a dessert chosen at random contains nuts given that it contains chocolate is 17.3%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a dessert chosen at random contains nuts and chocolate - 75% x 23% = 17.3%

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The conditional probability that a dessert contains nuts given that it contains chocolate is approximately 30.7%, calculated by dividing the probability of both events occurring by the probability of the condition (chocolate presence).

The student is asking for the conditional probability that a dessert contains nuts given that it contains chocolate. Since we are given that the probability a dessert contains chocolate (P(C)) is 75%, and the probability that a dessert contains both chocolate and nuts (P(C AND N)) is 23%, we can find the conditional probability (P(N|C)) by dividing the probability of the joint event by the probability of the condition:

P(N|C) =  P(C AND N) / P(C)

P(N|C) = 0.23 / 0.75

P(N|C) = 0.3067

Therefore, the probability that a dessert chosen at random contains nuts given that it contains chocolate is about 30.7% when rounded to the nearest tenth of a percent.

Answer:

8 candy bars

Step-by-step explanation:

Transform the question to an equation:

3 + 2x = 19

Solve:

2x = 16

x = 8

Check the answer:

3 + 2 (8) = 19

3 + 16 = 19

True

Hello There!

A magazine costs $3 and some candy bars. Let’s represent the number of candy bars as “X”

19-3=16 so that’s how much money is spent on candy bars.

If $16 is spent on candy bars then 8 candy bars were bought.

There are three types of correlation.

1) Positive correlation: Two variables are said to be positively correlated when one variable increase then other variable will also increase or one is decrease then other will also decrease.

2) Negative correlation between two variables means when x is increasing but y is decreasing or vice versa.

3) No correlation: When the is scattred and we won't be able to find any distinct relationship then there will be no relation.

Notice in the first and third graph it has positive slope which means if x is increasing then y is also increasing. So, first and third graph is positively correlated.

Whereas in the second graph if x is increasing then y is decreasing. So, second graph is negatively correlated.

But in the last graph there is no such relationship as the data scattered randomly everywhere in the graph. So, it's shows no correlation.

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The last graph shows no correlation.

Option D is the correct answer.

Correlation is a statistical measure that indicates how strongly two variables are related or associated with each other.

It is a way of expressing the degree to which one variable is related to another variable.

We have,

The correlation is of different types.

- Positive correlation:

As one variable increases, the other variables also increase.

- Negative correlation:

As one variable increases, the other variables also increase.

- No correlation:

The variable increase and decrease as one variable increases.

Now,

We see that,

The last graph shows no correlation.

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Answer:

The first glass

Step-by-step explanation:

I believe that first, you must find the ratio of lemonade to water in each glass.

[Remember that you can write a ratio in 3 ways (assume that x and y are numbers):

x : y

x / y

x  to  y

Now, our first glass of lemonade can be written as 5/8. If you were to write 5/8 as a decimal, you'd get 0.625.

Now, our second glass of lemonade can be written as 3/7. If you were to write 3/7 as a decimal, you'd get 0.428 (I rounded it to the nearest thousandth.)

0.625 > 0.428

0.625 is greater than 0.428, so therefore, the first glass had a stronger lemon flavor.

I hope this helps! :)

Step-by-step explanation:

The first glass has a total volume of 5 oz + 8 oz = 13 oz.  Of the 13 oz, 5 oz is lemon juice, so the fraction of lemon is 5/13.

The second glass has a total volume of 3 oz + 7 oz = 10 oz.  Of the 10 oz, 3 oz is lemon juice, so the fraction of lemon is 3/10.

We need to compare these fractions.  To do that, we need to find the common denominator.  In this case, 10×13 = 130.

5/13 = 50/130

3/10 = 39/130

So the first glass has the stronger lemon flavor.

Answer:

y = -2x + 3

Step-by-step explanation:

The three is the y-intercept, so when x=0, y will equal 3. (0,3)

The slope is negative (-2x), because the minus is present infront of x. So the line's going down.

And we can confirm that it's the function

y = -2x + 3 by letting one point in the line from the graph enter the function.

For example (1,1)

1 = -2x + 3. (let y = 1.)

1 = -2(1) + 3 (let x = 1)

1 = 1

so we can see when we let 1 = -2(1) + 3 it equals the y value on the line.

Answer:

Step-by-step explanation:

y= -2x + 3

Answer:

50.

Step-by-step explanation:

the range is the lowest number subtracted from the highest; in this case, 93-43.

Answer:

Step-by-step explanation:

Two points define a straight line (look at the picture #1).

Three non-collinear points define a plane (look at the picture #2).

Four points not lying in one plane, define space (look at the picture #3).

Answer:

A. f(x) = x²

Step-by-step explanation:

Observing the values

when x= -2..............f(x)= 4..................this is x²............-2²= 4

when x= -1..............f(x)= 1......................this is x²............ -1² = 1

when x= 0..............f(x)=0.....................this is x².......... 0²= 0

when x= 1.............f(x)= 1........................this is x²........ 1²= 1

When x=2........... f(x) = 2...................... this is x²........ 2² = 4

⇒The first option is correct.

ANSWER

The correct answer is A.

EXPLANATION

We can see from the table that:

[tex]f( - 2) = {( - 2)}^{2} = 4[/tex]

[tex]f( - 1) = {( - 1)}^{2} = 1[/tex]

[tex]f(0) = {(0)}^{2} = 0[/tex]

[tex]f(1) = {( 1)}^{2} = 1[/tex]

[tex]f(2) = {(2)}^{2} =4[/tex]

In general we can conclude that,

[tex]f(x) = {( x)}^{2} = {x}^{2} [/tex]

Therefore the parent function represented by the table is

[tex]f(x) = {x}^{2} [/tex]

Answer:

The Total including sales tax would equal $1.04.

Step-by-step explanation:

The total tax added is $0.08.

Answer:

$1.04

Step-by-step explanation:

.96*.08=.08

.08+.96=1.04

Step-by-step explanation:

To find the LCM, we must check and find the value that all four denominators can divide without a remainder.

Let's take 48

Therefore: 48/8= 6

48/16= 3

48/3= 16

48/2= 24

So, we can see that clearly 48 is our LCM

Therefore; 6(3/8)+3(5/16)+16(2/3)+24(1/2)

=18/48+15/48+32/48+24/48

=(18+15+32+24)/48

=89/48

Answer:

Its 48 to clarifiy instead of a long paragraph

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

The given table in the correct format is attached in the image below. We need to tell what percentage of students from the grades 9 - 10 like rap music.

Total number of students in grades 9 - 10 = 125

Number of students in grades 9 - 10 who like rap music = 40

Percentage of students in grades 9 - 10 who like the rap music will be calculated as:

[tex]\frac{\text{Number of students in grades 9-10 who like rap music}}{\text{Total number of students in grades 9-10}} \times 100 \%[/tex]

Using the given values in above expression we get:

[tex]\frac{40}{125} \times 100\%\\\\= 32\%[/tex]

This means 32% of the students in grades 9 - 10 like rap music

Answer:

B: 32% I got it Correct on my test.

Step-by-step explanation:

Hope this helps :)

Add the cost of the three items:

8 + 5 + 15 = $28

Subtract that amount from the total:

29.82 - 28 = $1.82 ( amount he paid in tax)

Divide the tax amount by the cost of the items:

1.82 / 28 = 0.065

Multiply that by 100:

0.065 x 100 = 6.5% sales tax rate

Answer:

D. 1.25

Step-by-step explanation:

The values of the correlation coefficient must be between -1 and 1 (they can include -1 and 1)

The only value outside that range is 1.25

1.25 is not a possible correlation coefficient

Answer:

So it's B.

Step-by-step explanation:

Because 2a+3b, a= -1 and b = 0

so, 2(-1) + 3(0)

        -2 + 0 = -2

Hope my answer has helped you and if not i'm sorry.

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]lef=12ft,\ leg=35ft,\ hypotenuse=AB[/tex]

Substitute:

[tex]AB^2=12^2+35^2\\\\AB^2=144+1225\\\\AB^2=1369\to AB=\sqrt{1369}\\\\AB=37[/tex]

Answer:

Obtuse

Step-by-step explanation:

An angle that measures between 90 and 180° is called an obtuse angle.

It must be above 90 degrees and below 180 degrees to be obtuse

Hope this helped!

~Just a girl in love with Shawn Mendes

Step-by-step answer:

Percentage difference = (new value-old value)/old value*100%

=(56-45)/45*100%

=11/45%100%

= 24.4%

Answer: 24

Step-by-step explanation:

its just 24 have the same question ^^

Answer:

Factors of the constant term

Step-by-step explanation:

A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all factors of the constant term.

The correct option is (2).

The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.

Given statement is:

A polynomial, P, has a leading coefficient of one and a constant term. The rational roots of P are all

We know by Rational Zeros Theorem states:

If P(x) is a polynomial with integer coefficients and if is a zero of P(x)

(P( ) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).

So, from the above statement it is clear that p is a factor of the constant term.

Hence,  The rational roots of P are all factors of the constant term.

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Answer:

d) 6

Step-by-step explanation:

you multiply 3 by 6 because the reciprocal of 1/6 is 6/1

Answer: Last option.

Step-by-step explanation:

When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.

To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.

Then, the reciprocal of the fraction [tex]\frac{1}{6}[/tex] is:

 [tex]\frac{6}{1}=6[/tex]

Therefore, you can find the quotient of [tex]3[/tex]÷[tex]\frac{1}{6}[/tex]  by multiplying 3 by 6:

[tex]3[/tex]÷[tex]\frac{1}{6}=3*6=18[/tex]

Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

From this problem, you get quite a handful of information.

The variable "m" represents the # of magazines Hugh bought.

The variable "b" represents the # of books Hugh bought.

One magazine [m] cost $3.95

One book [b] cost $8.95

The total cost of books and magazines is $47.65

Based on the information, you can create an equation with two variables, representing the total cost and how many of each magazine and book Hugh bought.

If one magazine cost $3.95, the amount of money he spent on magazines can be represented by 3.95m.

If one book cost $8.95, the amount of money he spent of magazines can be represented by 8.95b.

And lastly, if the total cost of magazines and books Hugh bought is $47.65, the following equation can be made:

3.95m + 8.95b = 47.65

So, "3.95m + 8.95b = 47.65" is the correct equation. I hope this helps! :)

Question 1:

For this case we have that by definition, the area of a circle is given by:

[tex]A = \pi * r ^ 2[/tex]

Where:

r: It is the radius of the circle.

They tell us that the diameter is 9 inches, then the radius is 4.5 inches. substituting we have:

[tex]A = \pi * (4.5) ^ 2\\A = \pi * 20.25\\A = 63.59[/tex]

Thus, the area of the circle is[tex]63.59 \ in ^ 2[/tex]

ANswer:

Option C

QUestion 2:

For this case we have that by definition, the volume of a cylinder is given by:[tex]V = \pi * r ^ 2 * h[/tex]

Where:

r: It's the radio

h: It's the height

According to the data we have to:

[tex]r = 6.8 \ meters\\h = 14 \ meters[/tex]

Substituting in the formula:

[tex]V = \pi * (6.8) ^ 2 * 14\\V = \pi * 46.24 * 14\\V = 2032.71[/tex]

Finally, the volume of the cylinder is [tex]2032.71 \ m ^ 3[/tex]

Answer:

Option C

Question 3:

For this case we have that by definition, the volume of a cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where:

r: It's the radio

h: It's the height

According to the data we have to:

[tex]r = \frac {5} {2} = 2.5 \ feet\\h = 7.4 \ feet[/tex]

Substituting in the formula:

[tex]V = \pi * (2.5) ^ 2 * 7.4\\V = \pi * 6.25 * 7.4\\V = 145.23[/tex]

Finally, the volume of the cylinder is [tex]145.23 \ ft ^ 3[/tex]

Answer:

Option B

Question 4:

For this case we have that the volume of the bricks comes given by:

[tex]V = 11 * 5 * 3\\V = 165[/tex]

The volume of each brick is [tex]165 \ in ^ 3.[/tex]

On the other hand, we have that the volume of the crate is also obtained by multiplying its three dimensions, that is:

[tex]V = 55 * 20 * 12V = 13,200[/tex]

Thus, the volume of the crate is [tex]13,200 \ in ^ 3[/tex]

We divide the volume of the crate between the volume of the brick to know the quantity:

[tex]\frac {13,200} {165} = 80[/tex]

Thus, 80 bricks fit.

Answer:

Option A

Answer:

5).  Option C.  63 inches

6). Option C.  2032.71 m³

7). Option b.  145.23 ft³

8). Option a.  80

Step-by-step explanation:

To find the answers

Question 5

Here r = 9/2 = 4.5

Area of circle = πr²

 = 3.14 * 4.5²

 = 63.585 ≈ 63

Option c is the correct answer

Question 6

Here r = 6.8 m and h = 14 m

Volume of cylinder = πr²h

 = 3.14 * 6.8² * 14

 = 2032.71 m²  Option C

Question 7

Here r = 6.8 m and h = 14 m

Volume of cylinder = πr²h

 = 3.14 * 5² * 7.4

 = 145.23 feet²  Option b

Question 8

Volume of one brick = lbh

 = 11 * 5 * 3

Volume of crate = 55*20*12

number of briks = Volume of crate /Volume of one brick

 = (55*20*12)/(11 * 5 * 3)

= 80   Option a

1 represents they are scheduled to work the 9am-3pm shift

2 represents they are scheduled to work the 3pm - 9pm shift

0 represents they are not scheduled to work that day

[tex]\begin{array}{c||c|c|c|c|c|c|c}&Mon&Tue&Wed&Thu&Fri&Sat&Sun\\Employee\ 1&1&1&1&1&0&0&1\\Employee\ 2&0&2&2&2&2&2&0\\Employee\ 3&2&0&0&0&1&1&2\end{array}[/tex]

Employees 1 & 2 will work 30 hours and have 2 days off in a row

Employee 3 will work 24 hours and have 3 days off in a row

Answer:

f(-2)=3

Step-by-step explanation:

we know that

f(-2) is the value of the function f(x) for the value of x equal to -2

so

Observing the graph

For x=-2

f(-2)=3

The result is found by substituting -2 into the equation of the function. Using the provided line of best fit equation, we find f(-2) to be approximately -3207.324, but this is just an approximation.

To find f(-2) using the given equations, we first identify the equation associated with the given function, which in this case, is not explicitly provided in the given information. By convention, the general format for a linear function is y=f(x). The value is found by substituting the value of x into the equation and solving for y.

However, since the equation of the function isn't provided but we have details about the line of best fit, we could use that if it closely represents the graph of our function. In the case of the line of best fit given as ŷ = −3204 + 1.662x, we simply plug in -2 for x:

ŷ = -3204 + 1.662*(-2) = -3204 - 3.324 = -3207.324

So, if we were using this line of best fit as a representation for our function f(x), then f(-2) would be approximately -3207.324. Always remember though, that the line of best fit is an approximation and the real value might slightly differ based on the actual function.

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Answer:

[tex]\large\boxed{(f-g)(x)=6x^2-2x-6}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=6x^2-4,\ g(x)=2x+2\\\\\text{substitute:}\\\\(f-g)(x)=(6x^2-4)-(2x+2)\\\\=6x^2-4-2x-2\qquad\text{combine like terms}\\\\=6x^2-2x+(-4-2)\\\\=6x^2-2x-6[/tex]

Answer:

6x^2-2x-6 don't listen to these words it has to be 20 characters long

Answer:

The answer is 7 hours

Step-by-step explanation:

20 times 7 is 140 and 15 times 7 is 105 so 105 plus 35 is 140 hence the answer is 7 hours.

The number of hours that each man works will be 7 hours. Then the correct option is A.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Kenji and Antwan have jobs that pay differently. Antwan gets paid an hourly wage of $20. Kenji gets paid an hourly wage of $15 and receives $35 a day in tips.

Both men worked h hours on Tuesday and earned the same amount of money. If the equation 20h = 15h + 35 models this situation.

Then the solution to the equation will be

20h = 15h + 35

5h = 35

h = 7 hours

The number of hours that each man works will be 7 hours. Then the correct option is A.

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[tex]x=-2.08\overline{3}\\100x=-208.\overline{3}\\1000x=-2083.\overline{3}\\1000x-100x=-2083.\overline{3}-(-208.\overline{3})\\900x=-1875\\x=-\dfrac{1875}{900}=-\dfrac{25}{12}[/tex]