4^2(2^3-3)^1+8(2-1)^10

Answers

Answer 1

Hello Brainly User.

You must use PEMDAS
4^2(2^3-3)^1+8(2-1)^10
4^2(5)^1+8(1)^10
16(5)+8(1)
80+8
88

Feel free to contact me with your questions. I am more than happy to help. :)

Related Questions

Leon watched a beetle and a spider on the sidewalk the beetle crawled 2 yards and the spider crawled 1/6 of the yard how much further did the beetle crawled in the spider

Answers

The spider crawled 1/6 of a yard and the beetle crawled 2 yards. To find how much further the beetle crawled, you need to find the difference between these two numbers.

2yards - 1/6 yards = 1 5/6 yards

This means that the beetle crawled 1 whole yard and 5/6 of another yard further than the spider.

The beetle crawled 11/6 yards, or 1 and 5/6 yards, further than the spider.

The question asks how much further the beetle crawled compared to the spider. The beetle crawled 2 yards, and the spider crawled 1/6 of a yard. To find out how much further the beetle crawled, we subtract the distance the spider crawled from the distance the beetle crawled.

Step 1: Convert the distances to the same unit, if necessary. Here, both distances are already in yards, so no conversion is needed.

Step 2: Subtract the spider's distance from the beetle's distance: 2 yards - 1/6 yard.

Step 3: Calculate the difference: 2 yards - 1/6 yard = 12/6 yards - 1/6 yard = 11/6 yards.

Therefore, the beetle crawled 11/6 yards, or 1 and 5/6 yards, further than the spider.

A rectangular container 20 cm long and 15 cm wide contains sone water. When an iron ball was put in the water level rose by 3cm, find the the volume of the iron ball

Answers

Given that an object will always displace the same amount of water that its mass is, the ball has a volume of 900cm^3. The displacement method. You get this by multiplying 20 x 15 (the lengths and widths) and multiply it by 3 (the height the water rose) to find the volume.

The volume of the iron ball in the rectangular container that is 20 cm long and 15 cm wide is 900cm³.

How to calculate volume?

The volume of a rectangular cuboid can be calculated by multiplying the length, breadth and the height of the shape.

According to this question, a rectangular container 20 cm long and 15 cm wide contains sone water. When an iron ball was put in the water level rose by 3cm.

Volume of the iron ball = 20cm × 15cm × 3cm

Volume of the iron ball = 900cm³

Therefore, the volume of the iron ball in the rectangular container that is 20 cm long and 15 cm wide is 900cm³.

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Find the number of permutations of 8 things taken 5 at a time. 40,320 6,720 336

Answers

In probability, the number of ways of arranging objects could be done in combinations and permutations. The only difference between them is if you arrange them with or without repetition. If you choose permutation, then the arrangement should have no repetition. Thus, for permutation, the number of ways of arranging 'r' things out of a total of 'n' objects is:

P = n!/(n-r)!, where the term '!' is called factorial

For example, when you say 8!, that would mean 8×7×6×5×4×3×2×1 = 40,320. Substituting the values:

P = 8!/(8-5)! = 6,720 ways

Final answer:

The number of permutations of 8 things taken 5 at a time is calculated using the formula P(n, k) = n! / (n-k)!, resulting in 6,720 possible permutations.

Explanation:

To find the number of permutations of 8 things taken 5 at a time, we use the formula for permutations, which is:

P(n, k) = n! / (n-k)! where n is the total number of items, and k is the number of items to be chosen.

In this case, n=8 and k=5. Using the formula, we get:

P(8, 5) = 8! / (8-5)! = 8! / 3! = (8 × 7 × 6 × 5 × 4) / (3 × 2 × 1) = 6720.

So, the number of permutations of 8 things taken 5 at a time is 6,720.

Marty has saved $72. He spent $8 on a video rental. Write a ratio as a fraction in simplest form to represent what portion of his savings he has left.

Answers

It would be 8/72, which equals 1/9

Rita borrowed 8000 at a rate of 10.5% compounded monthly assuming she makes no payments how much willshe owe after8 years

Answers

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$8000\\ r=rate\to 10.5\%\to \frac{10.5}{100}\to &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve times} \end{array}\to &12\\ t=years\to &8 \end{cases} \\\\\\ A=8000\left(1+\frac{0.105}{12}\right)^{12\cdot 8}[/tex]

Solve the equation. 5x + 6 = 2(2x – 3)

Answers

Isolate the variable on one side of the equation and everything else to the opposite side of the variable.

You can isolate the variable by undoing the operations done to the variable.
For example, if we added 5 to x (x + 5) then we would need to undo that operation. We would need to use the inverse of addition. Which is subtraction.

5x + 6 = 2(2x - 3)
5x + 6 = 4x - 6 <-- Distribute the 2
x + 6 = -6 <-- Subtract 4x from each side
x = -12 <-- Subtract 6 from each side

So, x is equal to -12.

The solution to the equation 5x + 6 = 2(2x – 3) is x = -12

The given equation is:

5x + 6 = 2(2x - 3)

Expand the right hand side of the equation using distributive rule

5x + 6 = 4x - 6

Collect like terms

5x - 4x = -6 - 6

Simplify the equation above

x = -12

Therefore, the solution to the equation 5x + 6 = 2(2x – 3) is x = -12

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Which is the graph of 2x – 4y > 6?

Answers

Answer:

Its the last graph

The graph of 2x – 4y > 6 is in the far-right graphic image.

Further explanation

Let us first arrange the equation of the line followed by making a graph of a linear inequality.

Step-1: the x-intercept and the y-intercept

2x - 4y = 6

For y = 0, we get the x-intercept.

2x - 4(0) = 6

2x = 6, and then divide by two on both sides.

Hence, the x-intercept is [tex]\boxed{x = 3} \rightarrow \boxed{ \ (3, 0) \ }[/tex]

For x = 0, we get the y-intercept.

2(0) - 4y = 6

-4y = 6, and then divide by -4 on both sides.

Hence, the y-intercept is [tex]\boxed{y = -1\frac{1}{2}} \rightarrow \boxed{ \ (0, -1\frac{1}{2}) \ }[/tex]

Step-2: graph the inequality

2x - 4y = 6 is the boundary line and we draw the line dashed since the equality symbol is " > ".Test the point (0, 0), as origin, in 2x - 4y > 6, i.e., [tex]\boxed{2(0) - 4(0) > 6} \rightarrow \boxed{ \ 0 > 6, false \ }[/tex]So we shade the region which does not contain the test point.- - - - - - - - - -

Notes:

To graph a linear equality in two variables, follow the steps.

Draw the boundary line using a dashed line if the inequality symbol is " < or > ", or a solid line if the inequality symbol is " ≤ or ≥ ".Choose a test point which is not on the boundary line and substitute it into the equality.Shade the region which includes the test point if the resulting inequality is true, and shades the region which does not contain the test point if the resulting inequality is false.Learn moreFinding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point brainly.com/question/1473992Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38? https://brainly.com/question/1626676 When the x-axis and y-axis have different units of measure the slope can be interpreted as a rate https://brainly.com/question/4858319

Keywords: linear inequality, the equation of the line, shaded region, x-intercept, test the point, the line dashed

help find the answer to this question

Answers

First, find the area of the entire traingle using the formula bh/2.
18*9/2=81 cm^2
Then subtract the area of the smaller triangle within the larger one (white triangle). It has the same base but a height of only 4.
18*4/2=36 cm^2
81-36=45
Final answer: 45 cm^2

Suppose a tax is added to each flight. dollars is added to every flight, no matter how long it is. the table shows the new data. what happens to the correlation coefficient when a constant is added to each number?

Answers

The correlation coefficient is unchanged. The attached graphs show how. On the left is the regression line for some made-up data. On the right is the regression line for data made by adding 3 to each of the first data points.

The correlation coefficient in both cases is 0.961.

The circumference of a circle is 6.28. What is the area of the circle.

Answers

Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with how to handle this problem, and will teach you how to handle it on your own in the future.

First, let's evaluate the question.
"The circumference of a circle is 6.28. What is the area of a circle?"

Now, let's remember the different formulas for area and circumference.
The circumference is "2•3.14•r", while the area is "3.14•r•r".

We have our circumference, 6.28.
However, we are looking for the area. Since we have the circumference, we need to narrow down to the radius (so we can solve for the area).
Let's set this up as an equation;
C = 2 • 3.14 • r
Plug in the value for our circumference.
6.28 = 2 • 3.14 • r
Multiply 2 by 3.14 and r to simplify the right side of the equation.
2 • 3.14 • r = 6.28 • r = 6.28r

We're now left with:
6.28 = 6.28r
Divide both sides by 6.28 to solve for r.
6.28 / 6.28 = 1
6.28r / 6.28 = r

We are now left with the radius:
R = 1.

Now, we can solve for the area.
Remember our formula for the area.
A = r • r • 3.14.
Plug in 1 for r.
A = 1 • 1 • 3.14
A = 3.14.

Your area is 3.14 units^2.

I hope this helps, and has prepared you for your future problems in relation to this topic!

Circumfrence= πd
6.28=3.14*d
6.28/3.14=d
D=2
Area= πr*r
=3.14*1*1
=3.14

What is the future value of $845 a year for seven years at an interest rate of 11.3 percent? $6,683.95 $6,075.69 $8,343.51 $8,001.38 $8,801.91?

Answers

the future value of cash whose initial value is $845, at the rate of 11.3% for 7 years will be calculated using the compound interest rate, that is:
A=p(1+r/100)^n
where:
A=future amount
r=rate=11.3%=0.113
time=7 years
thus the future value of our cash will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82

In 7 years, you will have $1,787.82

One weekend, a newsstand sold twice as many Sunday papers as Friday papers. The Sunday paper costs $1.50, and the Friday paper costs $0.75. How many Sunday papers were sold if the newsstand took in $116.25?

Answers

1.50s + 0.75f = 116.25
2f = s

1.50(2f) + 0.75f = 116.25
3f + 0.75f = 116.25
3.75f = 116.25
f = 116.25/3.75
f = 31...31 friday papers

2f = s
2(31) = s
62 = s <=== 62 sunday papers

Answer:

Step-by-step explanation:

A company has a sales revenue of $10,000, cost of goods sold of $4500, and other operating expenses of $1500. what is this company's pre-tax income?

Answers

$10,000-$1500= $8,500- $4500=$4,000

A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the pond has a radius of 200 ft and the radius of the whole space is 250 ft?

Answers

check the picture below.

For randomly selected adults, IQ scores are normally distributed with a standard deviation of 15. The scores of 14 randomly selected college students are listed below. Use a 0.10 significance level to test the claim that the standard deviation of IQ scores of college students is less than 15. Round the sample standard deviation to three decimal places. 115 128 107 109 116 124 135 127 115 104 118 126 129 133

Answers

We would need the sample standard deviation for our hypothesis test.

STEP 1: Work out the mean of data set
μ = Sum of values in the set ÷ Number of values in the set
μ = 1686 ÷ 14
μ = 120.4 (rounded to one decimal place)

STEP 2: Subtract the mean from each value in the data set, and then square each answer. The table attached below shows the details of the calculation

STEP 3: Add the answers in STEP 2, then divide by 13.
Note: we divide by 13 instead of 14 because our data set is a sample set.

(∑x₁-μ)/13 = 1253.44÷13 = 96.42

The value obtained in STEP 3 is the variance. To obtain the standard deviation, we square root the variance
s = √96.42 = 9.819 (rounded to three decimal places)
----------------------------------------------------------------------------------------------------------------

We want to test the claim that the standard deviation of IQ scores of college students is less than 15. Putting this in the form of hypotheses we get:

H₀: σ=15
H₁: σ<15

The significance level, α, is 0.10

The degrees of freedom, v, is 14 - 1 = 13
Reading from the Chi² table for α = 0.1 and degree of freedom = 13, we have the critical value ≥19.812

The value of the test statistic is given as [(n-1)²s²] ÷ σ²
We have n = 14, s = 9.819, and σ = 15
test statistic = [(13)²(9.819)²] ÷ 15² = 72.417

72.417 is in the critical region (which is values ≥ 19.812) so the result is significant and H₀ is rejected. The standard deviation of IQ scores of college students is less than 15.

Final answer:

To test if the standard deviation of college students' IQ scores is less than 15, we must calculate the sample standard deviation and then perform a chi-square test for variance. Comparing the test statistic to the chi-square distribution at a 0.10 significance level allows us to accept or reject the null hypothesis.

Explanation:

To test the claim that the standard deviation of IQ scores of college students is less than 15, we first need to calculate the sample standard deviation. The scores provided are 115, 128, 107, 109, 116, 124, 135, 127, 115, 104, 118, 126, 129, 133. We find the mean of these scores and then use the formula for sample standard deviation.

Step 1: Calculate the mean of the IQ scores.

Step 2: Find the sum of the squared deviations of each score from the mean.

Step 3: Divide by the number of scores minus one (n-1) to get the variance.

Step 4: Take the square root of the variance to find the sample standard deviation.

Once we have the sample standard deviation, we use the chi-square test for variance since we are testing about the population variance. Under the null hypothesis, we assume that the population standard deviation is 15. At a significance level of 0.10, we compare the test statistic to the corresponding chi-square distribution to determine if we can reject the null hypothesis.

martin brought 30 shares of microsoft at the close price of $24.53. In a few years, Martin sells all of his shares at $33.71. How much money did martin make?

Answers

Difference: 33.71 - 24.53 = 9.18

9.18*30 = 275.4

Of course, we can't take into account inflation, because nothing is said, I mean that the $24 a few years ago are not the same as today ...

Answer:

Money did martin make = 275.4 $

Step-by-step explanation:

Martin brought 30 shares of Microsoft at the close price of $24.53.

Number of shares = 30

Cost per share = 24.53 $

Total cost = 30 x 24.53 = 735.9 $

Martin sells all of his shares at $33.71

Selling price per share = 33.71 $

Total selling price = 30 x 33.71 = 1011.3 $

Gain for Martin = 1011.3 - 735.9 = 275.4 $

Money did martin make = 275.4 $

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 3) and use it to approximate the number 6.022 + 5.972 + 2.992 .

Answers

Near the point (6, 6, 3), we have the approximation

[tex]f(x,y,z)\approx f(6,6,3)+f_x(6,6,3)(x-6)+f_y(6,6,3)(y-6)+f_z(6,6,3)(z-3)[/tex]

where the subscripted [tex]f[/tex]'s refer to the corresponding partial derivatives.

[tex]f(x,y,z)=x^2+y^2+z^2[/tex]
[tex]\implies\begin{cases}f_x(x,y,z)=2x\\f_y(x,y,z)=2y\\f_z(x,y,z)=2z\end{cases}[/tex]

So

[tex]f(6.02,5.97,2.99)\approx80.8288[/tex]

Compare to more precise value,

[tex]f(6.02,5.97,2.99)\approx80.8214[/tex]

Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).
A. y + 3 = −5(x − 2)
B. y − 2 = −5(x + 3)
C. y + 3 = −one fifth(x − 2)
D. y − 2 = −one fifth(x + 3)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ 2}})\quad % (c,d) &({{ 2}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-2}{2-(-3)}\implies \cfrac{1-2}{2+3}[/tex]

[tex]\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=2\\ x_1=-3\\ m=\boxed{?} \end{cases} \end{array}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}[/tex]

the answer is C or y-2=-1/5(x+3)

PLEASE HELP !!! HURRY!! Given m || n, find x.

Answers

4x+35 + 5x-8 = 180

9x +27 =180

9x =153

x=153/9 = 17

x = 17

The answer is x=9x+27

Claire has received scores of 85,88,87,and 85 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 88?

Answers

88*5 = 440

so all 5 tests need to equal at least 440

85 +88 +87 +85 = 345

440-345 = 95

she needs at least a 95 to have an 88 average

95 is the minimum score she must receive on the fifth test to have an overall test score average of at least 88.

88*5 = 440

All 5 tests need to equal at least 440.

85 +88 +87 +85 = 345

440-345 = 95.

What is average in maths?

In Maths, an average of a list of records is the expression of the primary price of a set of statistics. Mathematically, it's far described as the ratio of summation of all the facts to the range of units present inside the listing. In phrases of records, the common of a given set of numerical records is also called the mean.

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Here are the scores of 17 students on a history test. 62, 65, 66, 67, 67, 76, 77, 78, 79, 80, 86, 88, 88, 89, 90, 91, 92 Notice that the scores are ordered from least to greatest. Make a box-and-whisker plot for the data.

Answers

I added a picture with it for you. I suggest that before this becomes an issue you take some time and study box and whisker plots, because they tend to show up on a lot of standardized math tests.

Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment. How many lamps are available at the end of an 8-hour shift?

Answers

the correct answer is 163

Answer:

130 lamps are available at the end of an 8-hour shift

Step-by-step explanation:

Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment

LEt x be the number of hours and y be the lamps available

(3,75) (5,97)

Make the equation y=mx+b

m is the slope and b is the y intercept

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{97-75}{5-3} =\frac{22}{2} =11[/tex]

y=11x+b

Now solve for b using (3,75)

75 = 11(3) +b

75 = 33 + b

Subtract 33 from both sides

42= b

So equation becomes y= 11x + 42

To find available lamps at the end of 8 hours, plug in 8 for x

y= 11(8) + 42= 130

HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of the window is 6 and 3/ 4 feet, how many feet of the wood is needed to frame the window? Write your answer as a proper or improper fraction

Answers

We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of [tex]9 \frac{1}{3} [/tex] feet and width of [tex]6 \frac{3}{4} [/tex]. The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is [tex]9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4} [/tex] = [tex]18 \frac{2}{3}+12 \frac{6}{4} [/tex]

We have two whole numbers 18 and 12 and two fractions [tex] \frac{2}{3} [/tex] and [tex] \frac{6}{4} [/tex]

Adding the two fractions that have different denominator
[tex] \frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12} [/tex], which is an improper fraction which we can change into a mixed number [tex]2 \frac{1}{6} [/tex]

So the perimeter of the window is
[tex]18+12+2 \frac{1}{6} =32 \frac{1}{6} [/tex]

and the length of wood needed for the frame is [tex]32 \frac{1}{6} [/tex] feet

How do you convert numbers to percents

Answers

To convert numbers to percentage, just multiply the 100%.
Example: 23 (×100) = 2300%
0.23 (×100) = 23%

Hope it helped!

The radius of the circle whose equation is (x + 4)² + (y - 2)² = 36 is 36 18 6

Answers

[tex]36=r^2\\r=6[/tex]

The equation of a circles is:

(x-h)^2+(y-k)^2+r^2, where (h,k) is the center of the circle and r is the radius

r^2=36

r=√36

r=6

9 x 3? Help me please lol I don't have a clue.

Answers

9 x 3 =

9 + 9 +9

9+9 = 18, 18+9 = 27

so 9x3 = 27

Coffee with sugar and milk added to it can contain up to calories. To consume a maximum of 600 mg if caffeine per day, how many full eight-ounce servings of a name-brand coffee with 330 mg of caffeine per 16-ounce serving could someone drink in a day and still stay below this limit? full 8-ounce servings

Answers

We know there is 330 mg of caffeine per 16-ounce serving. So if we want 8-ounce servings:
330 mg : 2 = 165 mg
Also we have to consume a maximum of 600 mg.
165 mg * 3 = 495 mg < 600 mg
165 mg * 4 = 660 mg > 600 mg
Answer: Someone could drink 3 full 8-ounce servings in a day and still stay below the limit.

Answer:

A) 500

B) 3

Right on edge

Step-by-step explanation:

An experiment consist of drawing 1 card from a standard 52 -card deck. Let E be the event that card drawn is a 2. Find P(E').

Answers

The sum of the probabilities of an event E and its complement E' is 1,

that is P(E)+P(E')=1, where E' is "not E".

The event E can happen in 4 ways, because there are four 2's that can be drawn.

P(E)=n(E)/52=4/52=0.08

P(E')=1-P(E)=1-0.08=0.92

Answer: 0.92

What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11

Answers

Answer:

1. The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.

2. The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.

Step-by-step explanation:

Let the number of person who is older than 35 years has a hemoglobin level between 9 and 11 be x.

From the given table it is clear that the total number of person who is older than 35 years is 162.

[tex]76+x+40=162[/tex]

[tex]x+116=162[/tex]

[tex]x=162-116[/tex]

[tex]x=46[/tex]

The number of person who is older than 35 years has a hemoglobin level between 9 and 11 is 46.

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is

[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level between 9 and 11}}{\text{Person who is older than 35 years}}[/tex]

[tex]P=\frac{46}{162}\approx 0.284[/tex]

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.

Person who is older than 35 years has a hemoglobin level of 9 and above is

[tex]46+40=86[/tex]

The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is

[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level of 9 and above}}{\text{Person who is older than 35 years}}[/tex]

[tex]P=\frac{86}{162}\approx 0.531[/tex]

The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.

Answer:

.531

Step-by-step explanation:

Plato

If 2m = 4x and 2w = 8x, what is m in terms of w?

Answers

2^m=2^n take the natural log of both sides

m*ln2=n*ln2 divide both sides by ln2

m=n

you can simply divide the eqution or you substitute the value of x in any equation.

Other Questions

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