find f(-1) if f(x) = -2x^2 -x

Answer:

x = 60 deg (alternate interior angle)

Hope this helps!

:)

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x)² + ∛(x²+6)

Answer:

Log 5x^2 ( x^2 + 6) ^(1/3)

Step-by-step explanation:

Explanation shown in the attachment; this could have been further simplified using binomial expansion

Answer:

Shown from explanation below.

Step-by-step explanation:

If they both eat 5/12 each, it means they would both eat;

5/12 + 5/12 = (5 + 5)/12 = 10/12 = 5/6 of a bar.

Answer:

5/12 per brother x 3/1 brothers = 15/12 chocolate bars ate so the brothers ate 15/12 chocolate bar because each brother ate 5/12 and there are 3 brothers so we multiply

15/12 = 1 1/4 = 5/4

Step-by-step explanation:

Answer:

7.5h + 10b > $150

Step-by-step explanation:

h represents the amount of hours Lynn works as a hostess for a restaurant, and she gets $7.50 per hour. $7.50h is how much money she gets per hour. b represents the amount of hours Lynn spends working as a babysitter, and she gets $10 per hour. $10b is how much money she gets from babysitting per hour. The total amount of money she gets this week must be more than $150. So the answer is 7.5h + 10b > $150. Hope this helped!

Answer:

Work it out yourself by following through the guidance

Step-by-step explanation:

Now the general equation of a moving object in a translational motion is given by;

S = ut + 1/2 at^2;

Where S- distance

a- acceleration

u- initial velocity

t- time

S = distance and in this case it would be Height 'H'

a= acceleration and in this case it will be 'g' acceleration due to gravity because the rocket would be under the influence of gravity.

When you substitute that you should be able to derive the expression for that of the quadratic equation.

And with the equation when you take values of x and substitute them in the expression above you get the values of h and you can then plot this point to form the graph.

Answer:

Step-by-s

S = ut + 1/2 at^2;

Where S- distance  

a- acceleration

u- initial velocity

t- timetep explanation:

Answer:

I think of a number  "4"

4+1 = 5

then 5+5 or (5X2) = 10

Step-by-step explanation:

Hope this helped :)

Discount = [tex]\frac{15}{100}[/tex] x 75

               = [tex]\frac{1125}{100}[/tex]

               = $11.25

Answer:

area = 375.8 ft^2

Step-by-step explanation:

The scale is 2 inches = 5 feet.

The room is 6.5 inches wide in the drawing. We need the real width, x.

2 in./5 ft = 6.5 in./x

2x = 5 * 6.5

2x = 32.5

x = 16.25

The real width is 16.25 ft.

The room is 9.25 inches wide in the drawing. We need the real length, y.

2 in./5 ft = 9.25 in./y

2y = 5 * 9.25

2x = 46.25

x = 23.125

The real length is 23.125 ft.

Area of rectangle = length * width

area = 23.125 ft * 16.25 ft

area = 375.78125 ft^2

area = 375.8 ft^2

Answer:

Converse: If I passed, then I studied.

Inverse: If I don't study, then I will not pass

Contrapositive: If I didn't pass, then I didn't study.

Step-by-step explanation:

2(cos2x - sin2x)

Step-by-step explanation:

Y = sin2x + cos2x

Differentiate wrt x

dy/dx = cos2x . 2 - sin2x . 2

= 2(cos2x - sin2x)

Answer:

2 the probability would be2/5 because of the two dice

Answer:

6

Step-by-step explanation:

6/12 simpify 1/2

Answer:

Distance  =  11

Step-by-step explanation:√(-11)^2+0^2

√(121+0)

√(121)=11

Answer:

11

Step-by-step explanation:

Answer:

The net folds into a cube  

Step-by-step explanation:

* The net folds into a cube *

How can we guess? Well here all the surfaces of this 3-dimensional figure are squares, provided the dimensions of each surface are congruent, all being 2 inches. In addition, if we were to fold each of these squares on the net on the appropriate lines, we could imagine it to be a cube, perfectly fit to be as well!

Answer:

10x^2 -4x +6

Step-by-step explanation:

The area of the blue square is

2* 5x^2 = 10x^2

The area of the pink square is

2 * -2x = -4x

The area of the green square is

2 *3 = 6

Add it all together

10x^2 -4x +6

Answer:

10 to 15 (B)

Step-by-step explanation:

Find attached the diagram of the dot plot.

A measure of spread is used to describe the variation in a sample or data set. It is sometimes referred to as a measure of dispersion.

It is usually used together with the mean or median, to provide an overall description of a set of data.

There are two measures of spread: range and standard deviation. Range is the simplest in terms of calculation.

In this question, the range is used to determine the spread of the data set.

From the dot plot,

The range = the highest value - lowest value in a data set.

The highest value = 15

The lowest value = 10

Therefore the spread of the data in the dot plot is from 10 to 15 (B)

Answer:

B: from 10 to 15

Step-by-step explanation:

edg2020

Answer:

It would be (1) 5/4 and -5

4x^2+15x-25+0

Answer: (1) 5/4 and -5

I had this in school and i got this right

Hope i helped

have a nice day

Answer: its yuo have to add 160+80=

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following data :

(Weight, miles per gallon) (x, y) = 3648, 19), (1638, 47), (1727, 09), (2535, 50), (1832, 86), (2029, 22), (2336, 54), (1725, 33), (2534, 27), (1838, 09), (1733, 72)

Using the least square regression calculator  :

y = -0.00941x + 59.07

B) slope = -0.00941

The slope 'm' of the graphical relationship is -0.009406

Intercept = 59.07 ( where the regression line crosses the x-axis)

C.) Using the regression equation:

y = -0.00941(3600) + 59.07

y = 25.194 gallons (above)

D.) No, because other factors also contribute to gas mileage such as cylinders, Displacement, mdoel e. T. C

THE WIDTH=67.5 feet & LENGTH=67.5+15=82.5 feet

Perimeter of a rectangle (A) is the 2× sum of of its length (l) and width (w).

A=2(l+ w)

Here, given that,

Perimeter=150 feet

Let, width be x

then, length be x +15

ATQ

x+x+15=150

2x+15=150

2x=150-15

2x=135

x=135/2

x=67.5 feet

Then:

WIDTH=67.5 feet

LENGTH=67.5+15

             =82.5 feet

To learn more on Perimeter of rectangle click:

brainly.com/question/20693059

#SPJ2

Answer:

True

Step-by-step explanation:

Answer:

(60 - 4x)(50 + 2x) = 2,800

Step-by-step explanation:

Answer:

Its C, and if your looking for a different answer, try the one above this one.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

M

hope this helps

Answer:3rd row (abcg) skip a line h

Step-by-step explanation:

Answer:

Terminatng

Step-by-step explanation:

if you divide any number by 0 . the quotient would be 0 .

Answer:

  neither

Step-by-step explanation:

The value of 23/0 is "undefined." It has no decimal expansion.

Step-by-step explanation:

64 2/3 = 16

4 square root 256 = 64

16 3/2 =64

3 square root - 64 = - 24

16 - 24 64 64

Answer:

B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9

Step-by-step explanation:

- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total

Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70

Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65

Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135

Probability = (required outcome / Total possible outcomes)

B) probability that a student studied(5 - 10 hours)

P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27

C) Find the probability that a student is a male and spends less than 5 hours studying

P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27

D) Find the probability that a student is a female or spends more than 10 hours studying.

P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27

E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?

n(Female ∩ > 10 hours) / n(Female)

15/65 = 3/13

F) Find the probability that a student is a male given that he spends less than 5 hours studying

n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9

Answer:

630 ft

Step-by-step explanation:

The equation of the parabola shaped arc is given as:

[tex]h =-0.00635x^2 +4.0005x -0.07875[/tex]

In a parabola, the line of symmetry divides the parabola into two equal parts.

Therefore, to find the distance from one base of the parabola to the other, we simply multiply the x-value at the line of symmetry by 2.

For a quadratic equation of the form [tex]y=ax^2+bx+c[/tex]:

Therefore, distance from one base of the arc  to the other

[tex]=-\dfrac{b}{2a} X 2\\\\=-\dfrac{b}{a}[/tex]

In our given equation:

[tex]a=-0.00635, b=4.0005\\$Therefore:Distance = $ -\dfrac{4.0005}{-0.00635}\\=630$ ft[/tex]

The distance from one base of the arc  to the other is 630 ft.

Answer:

(1) The correct option is (B).

(2) The mean of the distribution of sample means is 19 fl. oz.

(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.

(4) The correct option is (C).

Step-by-step explanation:

According to the Central Limit Theorem if we have a normal population with mean μ and standard deviation σ and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The mean of the sampling distribution of sample mean will be:

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sampling distribution of sample mean will be:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

μ = 129

σ = 0.80

n = 8

(1)

The shape of the sampling distribution of sample mean will be Normal.

This is because the population from which the sample is selected is normal.

The correct option is (B).

(2)

Compute the mean of the distribution of sample means as follows:

[tex]\mu_{\bar x}=\mu[/tex]

    [tex]=129[/tex]

Thus, the mean of the distribution of sample means is 19 fl. oz.

(3)

Compute the standard deviation of the distribution of sample means as follows:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

    [tex]=\frac{0.80}{\sqrt{8}}\\\\=0.282843\\\\\approx 0.283[/tex]

Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.

(4)

Any change in the sample size will have no effect on the mean of the distribution of sample means.

But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.

This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.

So, for n = 100 the standard deviation is:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

    [tex]=\frac{0.80}{\sqrt{10}}\\\\=0.282843\\\\\approx 0.08[/tex]

Thus, the standard deviation was decreased.

The correct option is (C).

Using the Central Limit Theorem, it is found that:

1. B. Normal.

2. The mean is of 129 fl. oz.

3. The standard deviation is of 0.283.

4. C. The standard deviation would decrease.

Item a:

Item b:

Item c:

Then:

[tex]s = \frac{0.8}{\sqrt{8}} = 0.283[/tex]

Item d:

The standard deviation is inversely proportional to the square root of the sample size, hence it would decrease, and option C is correct.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213