Given the function: f(x) = 2x³-3/2x, find f(-4).

Answer:

Thousandths.

Step-by-step explanation:

The third decimal place, which is three places after the decimal point is called as the thousandths place.

The number 5 is at the thousandths place.

Answer:

~$0.60

Step-by-step explanation:

Divide 10 with 5.99:

5.99/10 = 0.599

Round to the nearest hundredths.

0.599 rounded to the nearest hundredths = ~0.60

~$0.60 is the cost of one apple.

Answer:

i would say $148.80

Step-by-step explanation:

tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.

Answer:

0.137 ->0.339 -> -0.431 -> 0.869 -> -0.903

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

17 = c

The hypotenuse is 17.

Brainliest? ;)

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

I don't see a question, so it Imma answer how it seems.

It looks like it's B. x < -6.

(You can tell bc the circle is open and the arrow is pointing left.)

I think this is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume of the irregular figure is solved to be

The volume of the irregular figure is solved by the formula

= area of the figure * thickness

The area of the figure is solved by dividing the firue into regular shapes and this will result to two rectangles

Area of the first rectangle

= length x width

= 4 * (12 - 5)

= 4 * 7

= 28 square centimeters

Area of the second rectangle

= 10 * 5

= 50 square centimeters

Total area = 50 + 28 = 78

volume = 78 * 1 = 78 cubic centimeters

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The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

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Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

Answer:

(e-1-1)2=0.3996

Step-by-step explanation:

See explanation below

Explanation:

h = 0.5d + 4

if f(x) = h and d = x

The formula becomes:

f(x) = 0.5x + 4

when x = 0

f(x) = 0.5(0) + 4 = 0 +4

f(x) = 4

when x = 1

f(x) = 0.5(1) + 4 = 0.5 +4

f(x) = 4.5

when x = 2

f(x) = 0.5(2) + 4 = 1 +4

f(x) = 5

when x = 3

f(x) = 0.5(3) + 4 = 1.5 +4

f(x) = 5.5

when x = 4

f(x) = 0.5(4) + 4 = 2 +4

f(x) = 6

when x = 5

f(x) = 0.5(5) + 4 = 2.5 +4

f(x) = 6.5

when x = 6

f(x) = 0.5(6) + 4 = 3 +4

f(x) = 7

plotting the graph:

Note: each line on the y axis represent 0.5 in between the whole numbers on the axis

After 4, the next line represent

Answer:

7/16

Step-by-step explanation:

38 + 1/16 = 38.0625

38.0625 = 7/16

Answer:

All real numbers because 5 is greater than 3

Step-by-step explanation:

\(4x + 12 -7 \geqslant x + 3x + 3 \\ 4x + 5 \geqslant 4x + 3 \\ 5 \geqslant 3\)

Answer:

7

Step-by-step explanation:

use the equation y2 - y1/ x2 - x1 to find the slope

-7 - 0/-2 - (-1)

-7/-1
7

y = 7x + b

if you want to check we have to find the y-intercept

(i can also show how to find it if you want :D)

A rectangular tank measuring 40 cm long, 30 cm wide and 35 cm high was filled with water to a hight of 15 cm. 4800 cm3 of water were poured into water ,The new height of the water in the tank is approximately 19.83 cm.

To find the new height of water in the tank after pouring in 4800 cm³ of water, we can use the concept of ratios.

First, let's calculate the initial volume of water in the tank before pouring in the additional water. The initial volume can be calculated as the product of the length, width, and initial height:

Initial volume = 40 cm * 30 cm * 15 cm = 18,000 cm³

Next, we add the volume of the water poured in:

Total volume = Initial volume + Volume poured in = 18,000 cm³ + 4800 cm³ = 23,800 cm³

To find the new height, we divide the total volume by the base area of the tank (length * width):

New height = Total volume / (Length * Width) = 23,800 cm³ / (40 cm * 30 cm) = 19.83 cm (rounded to two decimal places)

As a result, the tank's new water level is roughly 19.83 centimetres high.

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Answer:

The 95% confidence interval for the true population proportion is (0.27, 0.33).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion of is:

\(CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information given is:

\(\hat p=0.30\\n=765\\\text{Confidence level}=95\%\)

The critical value of z for 95% confidence level is, 1.96.

Compute the 95% confidence interval for the true population proportion as follows:

\(CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

    \(=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)\)

Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).

Answer:

9/10 of a pizza each

Step-by-step explanation:

3 whole pizzas is 30/10 and 3/5 made into /10 is 6/10 and if add them you will get 36/10 and dived that in 4 you will get 9/10

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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How can I complete step 3 in proof and review it what is step 3

For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

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The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.

According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.

Ratio of sauce to oregano:

6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano

Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:

8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano

Therefore, for 8 servings, we would need:

8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce

Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

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Answer:

3840

Step-by-step explanation:

Using the fundamental counting principle

The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages.

There are 5 independent events happening (5 prixe dinners)

(1) soup or salad (not both)

We have five kinds of soup, three kinds of salad

soup or salad (not both), = 5 + 3

= 8

(2) appetizer = 4

(3) entrees = 6

(4) dessert = 5

(5) Beverage = 4

Hence,

8 × 4 × 6 × 5 × 4

= 3840

The number of different prix fixe dinners are possible is 3840

Answer:

x=12

Step-by-step explanation:

(8x-20)+(8x+8)=180

16x-12=180

16x=180+12

16x=192

x=12

Answer:

x = 12

Step-by-step explanation:

The given angles are supplementary. Therefore, they have a sum of 180°.

8x - 20 + 8x + 8 = 180

16x - 12 = 180

16x = 192

x = 12

Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

__

Additional comment

Using b = c +10000, the two remaining equations are ...

<95141404393>

Answer:9865.2

Step-by-step explanation: 6500 plus 5.2 equals 6505.2 plus 30 = 6535.2 times 112 = 9865.2

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Test statistic:

\(t=\frac{(825-905)}{\frac{205}{\sqrt{(500)}}}\)

  \(=\frac{(-80)}{\frac{205}{22.36}}\\\\=\frac{(-80)}{9.16}\\\\=-8.73\)

Let the p-value=0

We reject H0 because of the p-value <0.01. We have evidence that college kids who pay their credit card bills in full per month have a mean balance of less than $905.