Kathy purchased cereal in bulk on two different trips to a grocery store. She paid $5.79 per pound each time. She purchased 2.25 pounds the first time and 1.8 pounds the second time. Rounded to the nearest cent, what is the total amount Kathy paid for both cereal purchases?

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210

Answer:

I don't know the answer but have a site that helps me with math, its called

Step-by-step explanation:

Just check it out

Answer:

48π

Step-by-step explanation:

Given that,

The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Differentiating both sides wrt t.

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]

Put r = 2 cm and dr/dt = 3 cm/minute

So,

[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]

Hence, the correct option is (a) "48π".

Answer:

[tex](p - q)(x) = (x -1) (x - 4)[/tex]

Step-by-step explanation:

Given

[tex]p(x) = x^2 - 1[/tex]

[tex]q(x) = 5(x - 1)[/tex]

Required

(p - q)(x)

This is represented as:

[tex](p - q)(x) = p(x) - q(x)[/tex]

[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]

[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]

Collec like terms

[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]

[tex](p - q)(x) = x^2 - 5x + 4[/tex]

Expand

[tex](p - q)(x) = x^2 -4x - x + 4[/tex]

Factorize

[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]

[tex](p - q)(x) = (x -1) (x - 4)[/tex]

Answer:

32.1869

Step-by-step explanation:

You can use an online converter!

You can look up Miles to KM

Answer:

I think 6 mph

Step-by-step explanation:

I needore characters so ingnor this sentence.

Answer:

y = 41

Step-by-step explanation:

y=4x+5 cuando x=9

y=4*9+5

y=36+5

y=41

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is [tex]A_o=\$550[/tex]

the value increases exponentially with the rate of [tex]r\%[/tex]

Time period [tex]t=5\ years[/tex]

Final amount [tex]A=\$736[/tex]

Exponential growth is given by

[tex]\Rightarrow A=A_o(1+r)^t[/tex]

Putting values

[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]

[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]

Option (c) is correct

9514 1404 393

Answer:

Step-by-step explanation:

Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...

  4a +5p = 86

  8a +2p = 92

Subtract half the second equation from the first to eliminate the 'a' variable.

  (4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)

  4p = 40 . . . . . simplify

  p = 10 . . . . . . . divide by 4

Substitute into the first equation:

  4a + 5(10) = 86

  4a = 36 . . . . . subtract 50

  a = 9 . . . . . . . divide by 4

One apple pie costs $9; one pumpkin pie costs $10.

Answer:

A (-2.5,0)

b(3,3)

c(1,-4)

Step-by-step explanation:

Answer:

F(x) =2(1/2 x2-6x) +C

Step-by-step explanation:

Hope it helps

Answer: the correct answer is B. f(x)=[x]

Step-by-step explanation:

1. The parent function of a Function part full is shown below:

f(x)=[x] (This is the simplest form) Because from this function we can make transformations that allow us to obtain the function f(x) =2[x-6]

2. If you take the parent function and make y=f(x-6), then you have:

f(x-6)=[x-6] (The function is shifted 6 units on the positive x-axis)

3. Then you if you make y = 2f(x-6), as following, you obtain:

y = 2f(x-6)=2[x-6] (The function It expands vertically in the y-axis).

4. That is how you obtain the final function.

Answer:

(1, 11)

that the answer

I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the

following two points

that why i say that

what does it read????

i want to answer the question but i dont have any information

Answer:

x = 17

Step-by-step explanation:

Use the interior angle sum theorem which says:

if n is the number of sides the sum of the interior angles is 180(n-2)

there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.

This means that if you add all the angles you will get 720, so:

[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]

[tex]26x+278=720\\26x = 442\\x = 17[/tex]

Answer:

3.9 in^2

Step-by-step explanation:

Split it up into a top rectangle and a bottom rectangle. Find the area of the top rectangle and subtract the combined area of the two quarter circles.

The area of the rectangle is 6  * 3 = 18. The area of the two quarter circles is the same as the area of one semicircle, and since the radius is 3 you can do:

3^2 * pi / 2 = 9pi/2. As a decimal this would be: 14.14.

Then, you can do rectangle - circle = 18 - 14.14 = 3.86. Rounded to the nearest tenth, this is 3.9

Answer:

It's C. g(x) = (1.6)x − 9 + 5

Step-by-step explanation: hope it helps ^w^

Answer:

Step-by-step explanation:

B

Answer:8.99 cm

Step-by-step explanation:

Answer:

[tex]8.995[/tex]cm

Step-by-step explanation:

The circumference formula is: [tex]C=2\pi r[/tex]

We are given the circumference, which is 56.52cm.

The question wants us to find the radius, r.

To achieve this, we must solve for r.

Plugging in 56.52 for C we get:

[tex]56.52=2\pi r[/tex]

Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]

[tex]\frac{56.52}{2\pi } =r[/tex]

[tex]8.995[/tex]≈[tex]r[/tex]

If you want to round it up, you can round it to 9cm.

Answer:

(-1,-1)

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  120°

Step-by-step explanation:

The points on the figure are 120° apart, so each will replace the previous when the figure is rotated 120°.

The figure has 120° rotational symmetry.

__

That is also called "order 3 rotational symmetry" as there are three positions a point can be in that will make the figure look identical.

Answer:

B. 120 & D. 240 since they are both multiples of 120

Step-by-step explanation:

Hi! The person who explained it before me helped but didn't give the exact answer so I just wanted to say what it was so nobody got confused.

Have a nice day and hope this helps! :)

(btw it's right bc I just did it on khan)

Answer:

Rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

Step-by-step explanation:

Given that the volume of a cylinder is calculated using the formula Phi x Radius ^ 2 x Height, and knowing that the cylinder in question has a height of 13 inches and a base diameter of 12 inches, to calculate said volume the following calculation must be done:

Phi x (12x12) x 13 = X

Phi x 144 x 13 = X

Phi x 1,872 = X

3.14 x 1,872 = X

5,878.08 = X

Thus, rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

The answer is 1470.3

Answer:

We reject the H0

Step-by-step explanation:

Given that:

Sample size, n = 200

x, = 332 ; s = 108

H0 : μ = 0

H1: μ > 0

The test statistic :

(x - μ) / s/sqrt(n)

332 / 108/sqrt(200)

332 / 7.6367532

Zstatistic = 43.47

Pvalue from Zstatistic at α = 0.05

P value is bet small < 0.00001

Pvalue < α

We reject the null

Conclusion: Amount charged on credit card under the no - fee plan increases

Answer:

There is sufficient evidence to support the claim.

Step-by-step explanation:

Given

[tex]\alpha = 0.10[/tex]

Make A

[tex]\bar x_1 = 41[/tex]

[tex]\sigma_1= 4.6[/tex]

[tex]n = 35[/tex]

Make B

[tex]\bar x_2 = 45[/tex]

[tex]\sigma_2 = 4.3[/tex]

[tex]n = 35[/tex]

First, we state the null and alternate hypothesis

[tex]H_0 : \mu_1 = \mu_2[/tex]

[tex]H_1 : \mu_1 \ne \mu_2[/tex]

Next, calculate test statistic:

[tex]z = \frac{(\bar x_1 - \bar x_2)-(\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]

[tex]z = \frac{(41- 45)-0}{\sqrt{\frac{4.6^2}{35}+\frac{4.3^2}{35}}}[/tex]

[tex]z = \frac{-4}{\sqrt{0.6046+0.5283}}[/tex]

[tex]z = \frac{-4}{\sqrt{1.1329}}[/tex]

[tex]z = \frac{-4}{1.0643}[/tex]

[tex]z = -3.7583[/tex]

The critical value at [tex]\alpha = 0.10[/tex] is: [tex]\±1.282[/tex]

[tex]-3.7583 < -1.282[/tex]

So, we reject [tex]H_0[/tex]

This implies that; there is sufficient evidence to support the claim.

Answer:

The answer should be 20,000 feet

Step-by-step explanation:

sin 0 =opposite/hypotenuse

sin 30 = AB/AC

sin 30 = 10000/c

c= 10000/sin 30

c=10000/1/2

c=20,000 feet

Answer:

A

Step-by-step explanation:

2.5 x 3.4 = 8.5

Answer:

The equation model for the transformed graph f(x) = -5×+ 3 -6.

Answer:

Step-by-step explanation:

30% of 90 = 27

To explain this in a simple way we can check the work

10% of 90 = 9

9 x 3 = 27

Answer:

10 feet 5 inches long

Step-by-step explanation:

12 inches = 1 foot

11 inches + 6 inches = 17 inches = 1 foot 5 inches

1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches

Therefore, the walking board is 10 feet 5 inches long