Jina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Jina drove home, there was no traffic and the trip only took
4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Jina live from the mountains?
Do not do any rounding.

Caitlin will have 18 and Jeremy will have 6 at first because then 18-6=12 which is how many cards Caitlin have to Jeremy

Answer:

a.V=1.57

b. 2786 cubic feet (696.9)

c. 1/12 pie

Step-by-step explanation:

a. I have that the volume of a cylinder can be expressed as [tex]V= \pi r^{2} h[/tex] what would be the base (the area of ​​the circle) by the height, so [tex]V=\pi * (\frac{1}{2}) ^{2} *1 =\frac{\pi }{2} = 1.57[/tex]

b. The volume of a sphere is given by the formula [tex]V=\frac{4}{3} \pi r^{3}[/tex] as the diameter is twice the radius I have to

[tex]V= \frac{4}{3} \pi (\frac{d}{2} )^{3} =\frac{4}{3} \pi (5.5)^{3} = 696.9[/tex]cubic feet the nearest cubic foot be 2786 cubic feet

c. The volume of a cone is given by the formula [tex]V=\frac{1}{3} \pi r^{2} h[/tex] so [tex]V=\frac{1}{3} \pi r^{2} h=\frac{1}{3} \pi (\frac{1}{2} )^{2} *1=\frac{1}{3}\pi \frac{1}{4}=\frac{1}{12}\pi[/tex]

Answer:

The answer is actually 400m

Step-by-step explanation:

between 4 and 5 seconds is the correct answer

Answer: C

y=-5cos(x) is the graphed equation. Cos(x) starts at (0,0) and one period is 2pi or 6.28 and by cos(x) multiplied by -5 starts the cosine wave at (0,-5) and thus corresponds to the graphed equation shown.

Any questions please feel free to ask. Thanks

Answer:

i think quadratic or rational

Step-by-step explanation:

Answer:

[tex]x=7\frac{1}{5}\ cm[/tex]

Step-by-step explanation:

Let

x-------> the proportional wide

we know that

Using proportion

[tex]\frac{45}{27}=\frac{12}{x}\\ \\x=27*12/45\\ \\x= 7.2\ cm[/tex]

Convert to mixed number

[tex]7.2\ cm=7+0.2=7+\frac{2}{10}=7+\frac{1}{5}=7\frac{1}{5}\ cm[/tex]

Answer: [tex] x=\ 7\dfrac{1}{5}\ cm[/tex]

Step-by-step explanation:

If there is proportional relation between two variables x and y , then we have the following equation:

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Given: A wall map is 45 cm high and 27 cm wide.

Ashley wants to proportionately shrink it so its height is 12 cm.

Let x be the width of the shrunk map.

Then by using above formula we have,

[tex]\dfrac{x}{27}=\dfrac{12}{45}\\\\\Rightarrow\ x=27\times\dfrac{12}{45}\\\\\Rightarrow x=\ 7\dfrac{1}{5}\ cm[/tex]

Answer:

The period is 2pi

Step-by-step explanation:

A function is said to be periodic if there exists a T for which f(x+T)=f(x). In this case, the function is f(x) =7sin^3(x).

The period of sin(x) = 2pi. Then, in this case, no matter if the sin is elevated to a power of three, the period will remain the same.

Let's prove it:

f(x) =7sin^3(0) = 0

f(0 + 2pi) = f( 2pi) = 7sin^3(2pi) = 0.

Then, there exists a T for which f(x+T)=f(x) and it's T=2pi.

Answer: a, 2pi

Step-by-step explanation:

right on edg

Answer:

P = 34 = 2(l + w) | : 2 => l + w = 17 => w = 17 - l

A = 30 = l×w

30 = l(17 - l)

17l - l² - 30 = 0 | (-)

l² - 17l + 30 = 0

l² - 2l - 15l + 30 = 0

l(l - 2) - 15(l - 2) = 0

(l - 15)(l - 2) = 0

l - 15 = 0 => l₁ = 15 m => w₁ = 2 m

l - 2 = 0 => l₂ = 2 m => w₂ = 15 m

A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.

A function assigns the value of each element of one set to the other specific element of another set.

In the given graph each specific value of x from the x-axis is representing a value on the y-axis. Therefore, as per the definition of the function, it can be concluded that the given graph is a function because each x-value has exactly one corresponding y-value.

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Answer:

D) The graph of g(x) is a vertical stretch of f(x) by a factor of 5 and a reflection across the x-axis

Step-by-step explanation:

I just did this and got it correct

Answer:

Ratio is it rate. Can you do the rate of numbers.

For example, if we say: If the car was very high to acceleration at least, 1,000 km/h.

If Usain Bolt was won on the Olympics, he has 27 km/h.

Hmm, the ratio isn't rate at all. This method can do the non rate. For example, if we say: If the gas price at BP, there's $100 per year.

Step-by-step explanation:

With this method, you must solve the ratio isn't rate.

For there's the group, this was what do you say, it's GCF, or greatest common factor. With this GCF method, for example: if we say, the European Parliament, and the MPs, are divided by gender, if we divide by male and female. For more examples, see the answer at the above with the picture

With this method of the rate, there are no of speed, price, or something else.

There are some examples like the km/h, representing the Kilometers per hour.

Hopefully with this helpful example

Answer:

Step-by-step explanation:

Look at the picture.

We must use the tangent.

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]opposite=h\\adjacent=1,500\ ft\\\\\tan10^o\approx0.1763[/tex]

Substitute:

[tex]\dfrac{h}{1,500\ ft}=0.1763[/tex]      multiply both sides by 1,500 ft

[tex]h=264.45\ ft\to h\approx264.49\ ft[/tex]

A pint has 2 cups, quart has 4, and gallon has 16 so she would need at least a gallon

Answer:

Gallon

Step-by-step explanation:

Because a pint has 2 cups and a quart has 4 but you need 5

Answer:

Security deposits

Step-by-step explanation:

security deposits are the amount of money that the landlords are supposed to   acquire from tenants in advance while renting out the property as to protect against non-payment.

At the natural time of expiry of the contract between the landlord and tenants the security deposits can be utilized by the landlords for following causes:

Non-payment of rent

Any damage to the rented property

Any other non-paid dues !

Answer:

Second option: False

Step-by-step explanation:

You need to use the following identity:

[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]

Let be "x" the lenght of the buildings's shadow.

[tex]opposite=x[/tex] (Lenght of building's shadow)

You can observe in the figure that:

[tex]\alpha=75\°\\\\hypotenuse=50ft[/tex]

Substitute these values into  [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex] and solve for ""x":

[tex]sin(75\°)=\frac{x}{50}\\\\(50)(sin(75\°))=x\\\\x=48.29\°[/tex]

Therefore, the length of its shadow IS NOT 12.94 feet.

ANSWER

C) inconsistent

EXPLANATION

The given system is inconsistent.

The two lines are parallel and have distinct y-intercepts.

This means that the two lines will never meet.

Since the two lines have no points of intersection, it means the system of equations they represent has no solution.

Therefore the system is inconsistent.

The correct choice is C

Answer:

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Step-by-step explanation:

Answer:

Option A. [tex]x=34\°[/tex]

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]x=\frac{1}{2}(arc\ CD+arc\ AB)[/tex]

substitute the values

[tex]x=\frac{1}{2}(23\°+45\°)[/tex]

[tex]x=34\°[/tex]

Answer:

D

Step-by-step explanation:

57+(350-1)*9

Answer:

D

Step-by-step explanation:

Each term goes up 9 from the term before it.

Givens

a1 = 57

d =  9

n = 350

an = ?

Formula

an = a1 + (n- 1)*d

Solution

An = 57 + (350  - 1)*9

An = 57 + 3141

An = 3198

D

Answer:

         D) The other zero is rational.

Step-by-step explanation:

1. The attached graph shows there are no values of x where the left side of the equation is equal to the right side of the equation. There are no real solutions.

If you rewrite the quadratic to standard form (by subtracting the right-side expression), you get ...

  x^2 -4x +5 = 0

Using the hint, the discriminant is b^2-4ac = (-4)^2-4(1)(5) = 16 -20 = -4. It is negative, so both roots will be complex.

__

2. The (rational) number "b" is the opposite of the sum of the zeros. If one zero is rational, the other root must be. The difference of rational numbers is rational.

Choices A and D are identical, so both are correct. Perhaps a typo?

__

We can also consider the discriminant in problem 2. The roots of the quadratic are the sum (or difference) of -b and the square root of the discriminant, all divided by 2a. Any one root can only be rational if the square root is rational. In that case, the other root will be rational as well.

Answer:

option 1

2sqrt3/3

Step-by-step explanation:

Given in the question

csc(-4π/3)

we know that csc(x) = [tex]\frac{1}{sin(x)}[/tex] that means

[tex]csc(\frac{-4\pi}{3})=\frac{1}{sin(\frac{-4\pi}{3} )}[/tex]

sin(-4π/3) = [tex]\frac{\sqrt{3}}{2}[/tex]

so,

[tex]csc(\frac{-4\pi}{3})=\frac{1}{\frac{\sqrt{3}}{2} }[/tex]

[tex]\frac{1}{\sqrt{3}/2 }[/tex] = [tex]\frac{2}{\sqrt{3}}=\frac{2\sqrt{3}}{3}[/tex]

Answer:

D. All three functions have the same rate of change.

Step-by-step explanation:

1. For the function f(x):

The rate of change is

[tex]\dfrac{f(\frac{3\pi}{2})-f(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-4-0}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]

2. For the function g(x):

The rate of change is

[tex]\dfrac{g(\frac{3\pi}{2})-g(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-4-0}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]

3. For the function h(x):

The rate of change is

[tex]\dfrac{h(\frac{3\pi}{2})-h(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-2-2}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]

All three functions have the same rate of change.

The answer is C. 0.14.

ANSWER

7

EXPLANATION

The given functions are:

[tex]f(x) = 4 \cos( \theta - 90) [/tex]

and

[tex]f(x) = 2 \cos( \theta - 90) + 1[/tex]

From the question,

[tex]A(x)=f(x)+g(x)[/tex]

[tex]A(x)=4 \cos( \theta - 90) + 2 \cos( \theta - 90) + 1[/tex]

This simplifies to:

[tex]A(x)=6\cos( \theta - 90) + 1[/tex]

The maximum value is 6+1=7

yes, just yes. Trust me, the answer is yes.

Answer:

46

Step-by-step explanation:

Final answer:

Dominique needs to earn $34 per hour to reach her goal of $100, after accounting for her $15 expenses on supplies, for the 2.5 hours she will be working at the carnival.

Explanation:

To calculate how much Dominique needs to earn per hour to reach her goal of $100 after spending $15 on supplies, we first need to subtract the cost of supplies from her earnings goal:

$100 - $15 = $85

This leaves us with $85 that she needs to earn while working for 2.5 hours. By dividing $85 by the 2.5 hours, we can find out her required hourly earning rate.

So, the calculation will be $85 ÷ 2.5 hours = $34 per hour.

Therefore, Dominique will need to earn $34 per hour during her 2.5 hours of work to reach her goal of $100 after spending $15 on supplies.

Answer:

A is the right answer i do believe

.60 cents per x papers plus $25

Sheryl typed the term paper for $25 + $0.60 per page. If x is the cost of typing a term paper in dollars per page. 0.60x+25 is the equation. Option A is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

If x is the cost in $ per page to type the term paper. The equation is found as;

⇒0.60x+25

Hence, option A is correct.

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Answer:

  A.  0.0134

Step-by-step explanation:

This is a question that must be answered using a table or calculator. (Tables are not in general use these days.) See below for a calculator's output.

___

The answer would be 0.0135 if it were properly rounded.

[tex]\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}[/tex] are each perpendicular to the line of reflection

This option is the only one that is correct. The line of reflection is  [tex]y=-1[/tex]. When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection.  As you can see, these three segments [tex]\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}[/tex] form a right angle at the point each segment intersects the line [tex]y=-1[/tex].

Since the line [tex]y=-1[/tex] is an axis that allows to get a mirror image, therefore it is true that:

[tex]\overline{LS}=\overline{L'S} \\ \\ \overline{MT}=\overline{M'T} \\ \\ \overline{NU}=\overline{N'U}[/tex]

To find those values [tex]\overline{LS}[/tex], count the number of units you get from the point S to L, which is 3 units. Do the same to find [tex]\overline{MT}[/tex] but from the point T to M, which is 6 units and finally, for [tex]\overline{NU}[/tex] but from the point U to N, which is 4 units. Therefore:

[tex]\overline{LS}=\overline{L'S}=3 \ units \\ \\ \overline{MT}=\overline{M'T}=6 \ units \\ \\ \overline{NU}=\overline{N'U}=4 \ units[/tex]

The line of reflection is the perpendicular bisector of each segment joining a point and its image.

A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.

Answer:

So, option d is correct i.e,

V₀ = $393,000, b = 0.85, and the value after 7 years is $125,986.80

Step-by-step explanation:

The formula given is V(t)=V₀(b)^t

The value of V₀ (the actual worth) is:

V₀ = $393,000

The value of b is :

b= (1-15%) = (1-0.15) = 0.85

Value of assets after 7 years is:

t= 7, V₀ = $393,000, b=0.85

putting values in formula:

V(t) = Vo(b)^t.

V(7)= $393,000 * (0.85) ^ 7

V(7)= $393,000 * (0.320)

V(7)= $125986.80

So, option d is correct i.e,

Vo = $393,000, b = 0.85, and the value after 7 years is $125,986.80