Mathematics College

Merritt is driving to mount Shasta. On her map, she is a distance of 7.75 inches away. The scale on the map is .5 inch = 50 Miles. How far must Merritt travel to reach her destination?

Answers

Answer 1

193.75 miles cause 7.75 * .5 = 3.875 and 3.875* 50 = 193.75

Related Questions

What is the slope of this line?
a. −15
b. −5
c. 5
d. 15

Answers

Answer:

C. 5

Step-by-step explanation:

I did the test

When "P" Dollars is invested at interest rate "i", compounded annually, for "t" tears, the investment grows to "A" dollars, where A=P(1+i)^t. When Sara enters 11th grade, her grandparents deposit $10,000 in a college savings account. Find the interest rate "i", if the $10,000 grows to $11,193.64 in two years.

Answers

The interest rate is 0.58, or 58 percent.

11,193.64 = 10,000 (1 + i)^2
Divide each side by 10,000.
1.119364 = (1 + i)^2
Take the square root of both sides.
1.058 = 1 + i
Subtract 1
i = 0.58

Final answer:

The annual interest rate compounded annually that grows $10,000 to $11,193.64 in two years is approximately 5.882%.

Explanation:

To find the interest rate i if the $10,000 grows to $11,193.64 in two years, we can rearrange the compound interest formula to solve for i:

[tex]A = P(1 + i)^t[/tex]

Given:
A = $11,193.64
P = $10,000
t = 2

Rearranging the formula to solve for i, we get:

[tex](A / P) = (1 + i)^t[/tex] → (11,193.64 / 10,000) = (1 + i)²

Now we must solve for i:

1.119364 = (1 + i)² → i = [tex]\sqrt{(1.119364)}[/tex] - 1

Calculating the square root of 1.119364 and subtracting 1 gives us:

i ≈ 0.05882 or 5.882%

Therefore, the annual interest rate compounded is approximately 5.882%.

How to convert pounds to ounces

Answers

To convert pounds to ounces we can use a conversion factor. For instance, a conversion factor can be used to turn 2 pounds to ounces. Lets do that real fast.

First we need to find out how many pounds are in an ounce.

1 pound = 16 ounces
OR
1:16
OR
1 lb/ 16 ounce
OR
16 ounces / 1 lb

Now to convert we just use the conversion factor by multiplying the pounds by the conversion factor 16 ounces / 1 lb
[tex]2 \; lb \times \frac{16 \; ounces}{1 \; lb} = 32 \; ounces[/tex]

Step-by-step explanation: To convert pounds into ounces, we need to start with a conversion factor for pounds and ounces which is 16 ounces = 1 pound.

Next, since we are going from a larger unit "pounds" to a smaller unit "ounces" we will multiply the pounds by our conversion factor.

Finally, our product will be our answer.

NEED HELP FAST!!!!

Solve the equation.
3x/5 - 0.5 = 1.9

A. 2.3
B. 0.16
C. 4
D. 16

Please explain your answer.

Answers

3x/5-0.5 = 1.9
+0.5 +0.5
————————
3x/5 = 2.4
x5 x5
___________
3x = 12
x = 4

the graph of g(x) is the graph of f(x)=8x+20 stretched horizontally by a factor of 4.

Which equation describes the function g?

1. g(x)= 8x+5
2. g(x)= 2x+5
3. g(x)= 32x+20
4. g(x)= 2x+20

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

f(x)=8x+20 is just a linear function, to have it "widen horizontally", that means the A component is some amount less than 1.

to expand it 4 times as much as the parent y = x, then

A = 1/4

[tex]\bf f(x)=\stackrel{A}{\cfrac{1}{4}}(\stackrel{B}{8}x\stackrel{C}{+0})\stackrel{D}{+20}\implies f(x)=\cfrac{1}{4}(8x)+20\implies f(x)=2x+20[/tex]

graph it if you wish.

g(x) = 2x + 20

I hope this helps. (:

An ounce is 1/16 of a pound. How many ounces are in 8 3/4 pounds?

Answers

16*8=128
3/4=12/16
128+12=140
Answer: 140 ounces

I hope this helps.

There are 140 ounces are in 8 3/4 pounds.

Given that,

1 ounce = 1/16 pound

We can also write it as

1/16 pound = 1 ounce

Multiply 16 both sides we get,

1 pound = 16 ounces ......(i)

Therefore,

There are 16 ounces in 1 pound.

Now we can write [tex]8\frac{3}{4}[/tex] in simple fraction as,

= (8x4+3)/4

= 35/4

Now we can say that [tex]8\frac{3}{4}[/tex] pounds as 35/4 pound as both are same quantity

Now, multiply 35/4 both sides in equation (i) we get,

35/4 pound = (35/4)x16 ounces

= 140 ounces.

Hence,

[tex]8\frac{3}{4}[/tex] pounds = 140 ounces.

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Your high school freshman class consists of 760 students. In recent years only 4 out 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years

Answers

To find out how many of the 760 students in the freshman class are expected to graduate in four years, we use the rate of 4 out of 7 students graduating. This calculation yields approximately 434 students expected to graduate.

To calculate the approximate number of students expected to graduate in four years from a freshman class of 760 students, given a historical graduation rate of 4 out of 7, we use a simple proportion calculation. We set up a proportion where 4 out of 7 students graduate, which can be written as 4/7 = x/760, where x represents the number of graduating students.

Calculating this, we get x = (4/7) times 760. To solve for x, multiply both sides of the equation by 760 to isolate x.

x = 760 imes (4/7) = 760 imes 0.57142857
Approximately x = 434

Therefore, we can expect that approximately 434 students in the freshman class will graduate in four years, based on the provided rate.

Describe t-test and explain how to interpret its results ?

Answers

A t-test is usually two or more test used to determine the correct statistics of a situation. To interpret the results of a t-test there must be two or more test in order to compare the differences of the samples to get the accurate result.

Final answer:

The t-test is a statistical test used to compare the means of two samples. The t-score, which represents the standardised difference between group means, and the p-value, which gives the probability of observing the data given the null hypothesis, are key components of the t-test result interpretation. A small p-value (typically less than 0.05) typically leads to rejection of the null hypothesis.

Explanation:

The t-test is a statistical measure used in hypothesis testing to analyze the difference between two sample means. Key to proper interpretation of its results is understanding the test statistic, otherwise known as the t-score, and the p-value.

The t-score is calculated by subtracting one measure from the other and dividing by the standard error to standardize the difference. A large absolute value of the t-score indicates a larger difference between the groups being compared. The t-distribution, which the t-score follows, depends on the sample size (n) and has n - 1 degrees of freedom.

The p-value, usually calculated using technology, is the probability that you would observe the given t-score (or one more extreme) if the null hypothesis was true. It corresponds to the combined area in both tails of the t-distribution. If the p-value is small (typically less than 0.05), this suggests the differences you observed are statistically significant, and you would reject the null hypothesis.

When comparing the results, note that 95 percent of all confidence intervals constructed in this way contain the true value of the population mean statistic.

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2767545 to the nearest ten

Answers

276550 hope this helps !

2767550 should be correct since 4 occupies the tens place and the number to the left is 5 which you round up,

what is the sale tax on a 17500 truck if the tax rate is 6%

Answers

the sales tax is 1050

Answer: the sales tax is 1050

What is green and famous for running away from jail?

Answers

Escape peas. It is a joke (cause someone to laugh/cause amusement), an example of a joke in English. Jokes are popular because children learn them. Jokes can be an element of mood change for adults. The peas mean the "green" and the escape is related to the "famous for running away from jail" part.

how many 1/3 pounds serving in 4 2/3 pound of cheese

Answers

change 4 and 2/3 to an improper fraction.
4 + 2/3 = 14/3
There are 14 of the 1/3 lb serving in 4 and 2/3 pounds of cheese.

4th grade homework.

Write an equation that represents this comparison sentence..

32 is 8 times as many as 4

Answers

By looking at the statement I derived,

32 = 8 * 4

8 x 4 = 32 or (8)(4) = 32 are both valid equations

The registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee?

Answers

5700 : 100 * 0.8 =
45.60 $

The registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that the registration fee for a used car is 0.8% of the sale price of $5,700,

The value of the registration fee is found as,

Registration fee = 0.8% of $5,700

Registration fee = (0.8/100) × $5,700

Registration fee = $ 45.6

Thus, the registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.

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how do I answer this?

Answers

the entire goal is to isolate the x
So if you have 31/25x=-62, you would multiply by 25 on each side to get rid of the denominator, -62x25 is -1,550. So now you're left with 31x=-1,550, so you want to divide by the 31 to isolate the x. -1550/31 is -50. So x=-50

Charlie, who is 6 feet tall, walks away from a streetlight that is 16 feet high at a rate of 6 feet per second, as shown in the figure. Express the length s of Charlie's shadow as a function of time.

Answers

Final answer:

The detailed answer provides a step-by-step explanation of how to express the length of Charlie's shadow as a function of time based on his movement away from a streetlight.

Explanation:

Length of Shadow as a Function of Time:

Define the variables:

Express s as a function of time: s(t) = (h * d) / (d + rt), where r is Charlie's rate of movement away from the streetlight.

Calculate the specific function: In this case, s(t) = (16 * 6) / (d + 6t), where s is the length of the shadow at time t.

li started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x−243+24x represents the profit Tali has earned from cleaning pools. Which expression represents the total amount Tali earns from pool cleaning?

answer is one of these (x , 24, -243 , 24x )

Answers

Tali makes a profit of â’243+24xâ’243+24x. Since she made a profit and not a loss, the positive terms are the total amount paid to her for all the pools that she cleaned. On the other hand, the negative terms would be the cost of the cleaning supplies that she purchased for the work Hence, the total amount Tali earns from pool cleaning is 24x+24x = 48x However since she charged the same amount for each pool cleaned, it means that she charged x amount for 48 pools. Answer is "x"

1)The range of the following relation: R {(3, -5), (1, 2), (-1, -4), (-1, 2)} is

{-1, 1, 3}
{-5, -4, 2}
{-1, -1, 1, 3}
{-4, -5, 2, 2}

2) The domain of the following relation: R {(3, -2), (1, 2), (-1, -4), (-1, 2)} is

{-1, 1, 3}
{-1, -1, 1, 3}
{-4, -2, 2, 2}
{-4, -2, 2}

Answers

The range of the first relation is {-5, -4, 2}, and the domain of the second relation is {-1, 1, 3}.

The range of a relation is the set of all second elements in each ordered pair. For the relation R = {(3, -5), (1, 2), (-1, -4), (-1, 2)}, the range is the set of second elements {-5, 2, -4, 2}. When we list the unique values, we get the range as {-5,-4, 2}.

The domain of a relation consists of all the first elements in each ordered pair. Given the relation R = {(3, -2), (1, 2), (-1, -4), (-1, 2)}, the domain is the set of first elements {3, 1, -1, -1}. The domain with unique values is {-1, 1, 3}.

Ruth sets out to visit her friend ward, who lives 20 mi north and 100 mi east of her. she starts by driving east, but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas, so ward flies there in his small plane to get her.

Answers

Solution:

Distance between Ruth House and Ruth Friend House =20 Meter north and 100 meter east of Ruth

Now , Ruth Starts Driving,

but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas.

The Diagram of Ruth Driving is depicted below.

Now , when ward flies in small plane to get Ruth,

So, Distance between Ruth and Ward , when Ruth is at Point S=SM

In Right Δ SVM, By Using Pythagoras theorem

SM²=SV² + VM²

DT=VS=15 m

VM=100 - (70+8)

= 100 -78

=22 meter

SM²=(15)² + (22)²

= 225 + 484

= 709

[tex]SM=\sqrt{709}=26.62[/tex]

So, Ward has to travel 26.62 miles east north to reach Ruth.

The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes. Explain what h(10) means in the context of the real-world scenario, and how to find its value.

Answers

h(10) represents the altitude of the hot air balloon after 10 minutes' change. In this case, at the beginning, the hot air balloon is at an altitude of 210, unit unknown, every minute it decreases by 15.
h(10)=210-15*10=60
10 minutes later it is at an altitude of 60

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?
A. 27 square units
B. 24 square units
C. 12 square units
D. 9 square units

Answers

In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides.

Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3² times larger, or 9 times larger, than the area of ABC.

Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A.

Answer:

A. 27 square units

Step-by-step explanation:

PLATO 2022 Lnhs

A researcher sends out a survey to 740 subjects by mail and receives completed surveys from 65% of the subjects. How many surveys did the researcher receive?

Answers

Just do 740 times .65 which is 481

G verify that the divergence theorem is true for the vector field f on the region
e. f(x, y, z) = z, y, x , e is the solid ball x2 + y2 + z2 ≤ 36

Answers

[tex]\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1[/tex]

Converting to spherical coordinates, we have

[tex]\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi[/tex]

On the other hand, we can parameterize the boundary of [tex]E[/tex] by

[tex]\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle[/tex]

with [tex]0\le u\le2\pi[/tex] and [tex]0\le v\le\pi[/tex]. Now, consider the surface element

[tex]\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv[/tex]
[tex]\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv[/tex]
[tex]\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv[/tex]

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

[tex]\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv[/tex]
[tex]=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi[/tex]

as required.

G find the probability that (a) more than 5, (b) between 1 and 3, (c) less than or equal to 2, bulbs will be defective

Answers

a.7
b.2
c.1

there is ur answer have a good day

A 3-foot piece of wire costs $0.76. What is the unit price, rounded to the nearest cent?

Answers

divide total cost by length:

0.76 / 3ft = 0.2533 cents per foot

rounded to nearest cent = 0.25 cents per foot

Carlos wants to add two more bags of apples to his order. What is the new total?

Answers

Answer:

Hi! The answer to this question is 9.10

Step-by-step explanation:

All of the Items added up equals 9.10

Answer:I thought it was 4.34 but its 9.10

Step-by-step explanation:

Gary is buying a $1,250 computer on the installment plan you makes a down payment on of $150 she has to make monthly payments of $48.25 for two and a half years what is the finance change

Answers

1250-150=1100
2 1/2 years = 30 months
30*48.25 = 1447.5 - 1100 = $347.5 is you Answer

Answer:

$347.6

Step-by-step explanation:

The computer cost $1250. If Gary made a down paymnet of $150, $1100 is left to be paid. The financial cost per month is $48.25. For two and a half years this amount must be multiplied by the number of months. In two and a half years there is:

[tex]=12+12g+6=30[/tex]

30 months. Gary pays

[tex]=30\cdot{48.25}=1447.5[/tex]

$1447.5 for 30 months. The original amount was $1250. Cary pays a total of:

[tex]=150+1447.6=1597.6[/tex]

The financial change is:

[tex]1597.6-1250=347.6[/tex]

completely factor the expression 16t^3 - 50t^2 + 36t

Answers

[tex]\bf 16t^3-50t^2+36t\implies 2t[8t^2-25t+18]\implies 2t[(8t-9)(t-2)][/tex]

Which ordered pair is in the solution set of the following system of inequalities? y>0.5x+4 y≥‒3x+10 A. (2, 6) B. (1, 5) C. (3, 2) D. (4, 5)

Answers

The answer is B. (1,5) because when you insert them into both equations it comes out true for both

Prove or disprove each of these statements about the floor and ceiling functions.

Answers

Most symbols denote functions or operators. A monadic function takes as its argument the result of evaluating everything to its right. (Moderated in the usual way by parentheses.) A dyadic function has another argument, the first item of data on its left. Many symbols denote both monadic and dyadic functions, interpreted according to use.

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