HURRY Given f(x) = - 3/4x + 2, find ƒ(16). The solution is

Answer:

$6074.36

Step-by-step explanation:

The formula for continuous compounding is

F = Pe^(rt)

F = $4500 × e^(0.1 × 3)

F = $6074.36

Answer: $6074.36

Answer:

One solution

Step-by-step explanation:

The equation can be rewrite as 3x - 6 = 22 - x

so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7

Answer:

When r=0.2, m=0.016g

When m=0.25, r=0.5cm

When r=0.7, m=0.686g

When m=11.664, r=1.8cm

Step-by-step explanation:

General outline of steps for proportionality problems:

There are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them.  Several examples are listed below:

Direct proportionality examples

Inverse proportionality examples

In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant.  Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".

Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.

On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.

The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like [tex]m=kr^3[/tex].

To find the proportionality constant for our situation, one must know a full input/output pair.  Notice that in the 4th column, [tex]r=1.5[/tex] and [tex]m=6.75[/tex].

Substituting these values into our equation, we can find "k".

[tex](6.75)=k(1.5)^3[/tex]

[tex]6.75=k*3.375[/tex]

[tex]\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}[/tex]

[tex]2=k[/tex]

So, the proportionality constant for this situation is 2, and our equation for this situation becomes: [tex]m=2r^3[/tex]

Now that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.

r=0.2

[tex]m=2r^3[/tex]

[tex]m=2(0.2)^3[/tex]

[tex]m=2(0.008)[/tex]

[tex]m=0.016[/tex]

Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters.  So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.

m=0.25

[tex]m=2r^3[/tex]

[tex](0.25)=2r^3[/tex]

[tex]\dfrac{0.25}{2}=\dfrac{2r^3}{2}[/tex]

[tex]0.125=r^3[/tex]

[tex]\sqrt[3]{0.125} = \sqrt[3]{r^3}[/tex]

[tex]0.5=r[/tex]

So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.

r=0.7

[tex]m=2r^3[/tex]

[tex]m=2(0.7)^3[/tex]

[tex]m=2(0.343)[/tex]

[tex]m=0.686[/tex]

So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.

m=11.664

[tex]m=2r^3[/tex]

[tex](11.664)=2r^3[/tex]

[tex]\dfrac{11.664}{2}=\dfrac{2r^3}{2}[/tex]

[tex]5.832=r^3[/tex]

[tex]\sqrt[3]{5.832} = \sqrt[3]{r^3}[/tex]

[tex]1.8=r[/tex]

So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.

For [tex]x < -5[/tex]:

[tex]x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5[/tex]

So

[tex]|x-5|+|x+5|=-x+5-x-5=-2x[/tex]

Answer:

r = 1

Step-by-step explanation:

we know that :

[tex]Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}[/tex]

Then

[tex]\frac{5}{4} =\frac{16-r}{-3-(-15)}[/tex]

Then

[tex]\frac{5}{4} =\frac{16-r}{12}[/tex]

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1

Answer:

all of the above

Step-by-step explanation:

please mark me as brainliest

Answer:

< $0 --------------$35------ $50>

Step-by-step explanation:

wait that's not the full question but uh I assume that's 30% off $50?

it would be 0.3x50 which is 15 and 50-15 is 35.

the range is 0 - $50 if I'm not mistaken
< $0 -------------------------- $50> scuffed number line
but 35 is somewhere around here?
< $0 --------------$35------ $50>

Answer:

5:11:9

Step-by-step explanation:

Change the decimal to fractions

45/10:99/10:81/10

Multiply through by the Lowest Common Factor 10

10×45/10:10×99/10:10×81/10

Which makes it

45:99:81

They have a common factor which is 9, so divide through by 9

45/9:99/9:81/9

Your answer is

5:11:9

Hope it helps

The complete question is attached below.

The most correct phases that imply correlation without causation are 1, 5, and 6.

The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.

The most correct phases imply correlation without causation are;

The number of stuffed animals produced at a factory and the number of newborn babies.

The number of videos rented and the number of films in the theater.

The number of pets in the neighborhood and the amount of grass nearby.

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Answer: Option (2)

Step-by-step explanation:

We need the angle to be included between the two mentioned sides.

Also, the sides need to be corresponding for the ratio, and both sides of the triangle need to be in either the numerators or the denominators.

The value of x will be 3

From given diagram, triangle ABC and EDC meet at a common vertex C.

So, triangle ABC and EDC both are congruent to each other.

Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.

Therefore,

[tex]\frac{AB}{ED} = \frac{AC}{EC} = \frac{BC}{CD}[/tex]

[tex]\frac{AC}{EC} = \frac{BC}{CD}[/tex]

Simplifying the expression,

We get

(18-x)/x = 25/5

(18-x)/x = 5

18-x = 5x

18-x-5x = 0

18 - 6x = 0

- 6x = -18

x = 3

Hence, the value of x is 3.

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The amount of the cleaning solution is required to clean the hallway will be 315 ounces.

The complete question is given below.

A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot.

Then the amount of the cleaning solution is required to clean the hallway will be

Amount of cleaning solution = 1/2 × area of hallway

Amount of cleaning solution = 0.5 × (90 × 7)

Amount of cleaning solution = 315 ounces

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Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.

The number of subsets is given by:

[tex]N_s = 2^n [/tex]

The set of options is given by:

O = { pool , alarm , lake view , balcony }

Which has cardinality n = 4.

The number of options for the purchased home is the number of subsets of set O, hence:

[tex]N_s = 2^4 = 16[/tex]

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Answer:

$0.90

Step-by-step explanation:

If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.

Answer:

25:16

50:32

100:64

Step-by-step explanation:

[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Let x belong to the set of real numbers (R)

Now, x≥5 and x≤7.

So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]

Therefore, the notation will be [5, +∞) ∪ (-∞,7].

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Answer:

below

Step-by-step explanation:

Measure of each angle is 27 and 63 degrees.

She should spend 1 hour working on problems , 3 hour reading , Option B is the right answer.

The gain of the desired effect with respect to the previous gain is called margin gain

The marginal gain from 8:00 am to 9:00 am is

(40-0) = 40 problems

The marginal gain from 9:00 am to 10:00 am is

= 70-40 = 30 problems

The marginal gain from 10:00 am to 11:00 am is

(90-70) = 20 problems

As if she does more than one hour of problem solving her productivity decreases to 30 which is less than 1 hour of reading textbook

Therefore she should not spend more than 1 hour on problem solving.

Therefore Option B is the right answer.

1 hour working on problems , 3 hour reading

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Using the normal distribution, it is found that the girl's score of 10 is higher than 99.62% of the population.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 6, \sigma = 1.5[/tex].

Her z-score is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 6}{1.5}[/tex]

Z = 2.67

Z = 2.67 has a p-value of 0.9962.

Hence her score is higher than 99.62% of the population.

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Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

lmk if you want an explanation

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

Well you first want to factor out any GCF which in this case is 5

5(24u² + 25u + 6)

so now a, b, c = 24, 25, 6.

ac = 144

factors of 144 that add up to 25 are 9 and 16

rewrite equation

(24u² + 9u) + (16u + 6)

factor out GCF

3u(8u+3) + 2(8u + 3)

(3u+2)(8u+3)

plug that back into entire equation

5(3u+2)(8u+3)

Answer:

w (number)  = 2/3

Step-by-step explanation:

Variable w means use the letter w as the unknown number :

This is the equation made from the question :

2+(9w) = 8

Let's subtract 2 from both sides :

9w = 6

Divide both sides by 9 :

w = 6/9

Simplify fraction :

w = 2/3

Hope this helped and have a good day

Answer: (6, -5)

Step-by-step explanation: I used the midpoint formula and this is what I got. I hope this helps!

The formula:

(xm, xy) = (x1 + x2/2, y1 + y2/2)

Answer:

12 pounds of tea-1 and 8 pounds of tea-2 should be used.

Step-by-step explanation:

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]

[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]

[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]

[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]

[tex]\mathsf{x = \dfrac{15}{5}}[/tex]

[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]

[tex]\mathsf{x = \dfrac{3}{1}}[/tex]

[tex]\mathsf{x = 3\div1}[/tex]

[tex]\mathsf{x = 3}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]

Answer:

2+3+4 = 9

Add the three numbers of the three school districts that project to lose.

Answer:

Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]

Area: 6

Step-by-step explanation:

[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]

Answer:

0.04

Step-by-step explanation:

0.03508772

A mean is an arithmetic average of a set of observations. The correct option is B.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result,  the subpopulations of mechanical and civil engineers are Not earning different salaries.

Hence, the correct option is B.

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