Answers
[tex]\left(\dfrac{(-1)^5}{(-2)^{-3}} \right)^2\\\\\\=\left(\dfrac{-1}{\dfrac{1}{(-2)^3}} \right)^2\\\\\\=\left(-1 \times -8\right)^2\\\\=8^2\\\\=64[/tex]
Answer:
[tex]\huge\boxed{\bf\:64}[/tex]
Step-by-step explanation:
[tex]\left(\frac{(-1)^{5}}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Now, simplify [tex](-1)^{5} = -1[/tex]. Then,
[tex]\left(\frac{-1}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Calculate: [tex](-2)^{-3} = \frac{1}{(-2)^{3}} = - \frac{1}{8}[/tex].
[tex]\left(\frac{-1}{-\frac{1}{8}}\right)^{2}[/tex]
Divide [tex]-1[/tex] by [tex]- \frac{1}{8}[/tex]. The result will be [tex]8.[/tex]
[tex]\left(-\left(-8\right)\right)^{2} \\= 8^{2}[/tex]
Calculate [tex]8[/tex] to its square which is [tex]64.[/tex]
[tex]8^{2}\\=\boxed{\bf\: 64} \: \:\mathrm{(3^{rd} \: option)}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Related Questions
I’m not good at these I need help
Answers
Answer:
f(3) = 9
Step-by-step explanation:
From the table, when can see that when x is 3, f(x) is 9.
Therefore, f(3) = 9
Answer:
[tex]f(3)[/tex]=9
Step-by-step explanation:
[tex]f(x)[/tex] is x times a function.
so if you look at the table on the 'x' side and go down the table until you reach '3' and see what number on the 'f(x)' side corresponds with it, you will see '9'
so [tex]f(3) = 9[/tex]
and that means your answer is D
triangle ABC is circumscribed about circle touching the circle at P,Q,R . if AP=4 cm, BP=6cm, AC=12cm, then find the radius of the circle.
Answers
please help me on this thanks
Answers
[tex]\cos \angle H =\dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{IH}{GH}=\dfrac{28}{53}[/tex]
What type of association is shown by the scatterplot?
Answers
Answer:
Positive
Step-by-step explanation:
The graph goes up (puff puff positive)
. Question 3 Terrance made a list of his expenses. He is creating a check off matrix to organize when his bills are due. A check off matrix is a table without dollar amounts. You can use a matrix to indicate what time of the year an expense will occur Help Terrance complete his check off matrix by placing an X in the correct cells of the table according to his list of expenses, mortgage payment monthly • Utilities, monthly • Insurance quarterly • Internet monthly cell phone monthly . car loan: semiannually lawn care: monthly, April-September • food: monthly day care every other month beginning with February gym membership: annually. July . в тухх, m. AL 10pt Oct Dec Nov Feb Mar Sep Jul Jun Aug May Jan x Expense mortgage payment X X X x x X x insurance y internet cellphone car loan 1 x Iawn care X x X x food X day Care rym membership
Answers
=====================================================
Explanation:
The first two rows are already done. They have X's for every month to indicate a monthly payment regularly throughout the year without any extra conditions/requirements.
The third row will have exactly 4 copies of X in it. Two of them are already placed for January and April. The other two payments are in July and October. Notice the months are spaced 3 apart and how 12/4 = 3.
The fourth row will have X's across every cell in the same way the first row does since the internet bill is monthly. The same applies to the cell phone bill and food rows.
Something like the car loan will only have 2 copies of X in that row. Semiannual means twice a year, aka every 6 months. One copy of X is already placed for us in this row. This is in January (month 1). Six months later in month 1+6 = 7 (July) is when the next car loan payment occurs.
Lawn care will have X's only for the months of April through September; any other month won't have an X.
Day care will have X's for February, April, June, August, October, December. We start with February and alternate each month to fill out the rest of the year. This is due to the phrasing "every other month".
The gym membership will have one X for July only, since it's an annual payment.
Oliver earns five dollars for each lawn he mowed.If he he’d six lawns to move but forgot to mow three of them how much money did he actually earn
Answers
$15
Explanation:
For each lawn he mows = $5
He should mow 6 lawns but did only 3 lawns as other 3 he forgot to mow.
earned:
mows lawn-d * $53 * $5$15what digit is in the ten thousand place in 796,142 what is the answer
Answers
Answer:
9
Step-by-step explanation:
2 is in the ones place
4 is in the tens
1 is in the hundreds
6 is in the thousands
9 is in the ten thousands
Answer:
The number that is in the ten thousands is 9, whose value is 90,000.
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I hope help you :)
Kind regards, Antonio.
Tim bought all of the 2 3/4 lb packages for a party. How many pound of meat did tim buy?
Answers
If you deposit $300 in an account and it grows by 6% each year, how much money will be in your account after 1 year?
Answers
Answer:
318
Step-by-step explanation:
300 + (300 * 6%) = Answer
300 + (300 * 0.06) = 318
Russell needs to fertilize the grass in his
back yard, shown below. In order to know
how much fertilizer to buy, he must know
the square footage of his yard.
If the entire yard is covered with grass,
how many square feet of grass does he
have?
< 60 feet->
36 feet
60 feet
36 feet
30 feet
Answers
Answer:
60 feet?
Step-by-step explanation:
The area covered with grass, in square feeet, is the area of the shape of the yard.
What is the Area of a Yard?The area of a yard can be calculated by determining the shape of the yard, and using the appropriate area formula of the shape to find the area of the yard.
Image of the yard is missing. However, assuming the yard is a rectangular shape with a dimension of 10 ft by 6 ft, therefore:
The square feet of grass Russell has = area of rectangle = (10)(6) = 60 ft²
In summary, the area covered with grass, in square feeet, is the area of the shape of the yard.
Learn more about area of yard on:
https://brainly.com/question/854971
Use the following statement to answer parts a) and b). One hundred raffle tickets are sold for $3 each. One prize of $500 is to be awarded. Winners do not have their ticket costs of $3 refunded to them. Raul purchases one ticket.
a) Determine his expected value.
b) Determine the fair price of a ticket.
Answers
Using the expected value of a discrete distribution, it is found that:
a) His expected value is of -$2.5.
b) The fair price of a ticket is of $0.5.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, the distribution for the net value of the ticket is:
P(X = 497) = 1/1000.P(X = -3) = 999/1000.Item a:
The expected value is given by:
[tex]E(X) = 497\frac{1}{1000} - 3\frac{999}{1000} = -2.5[/tex]
His expected value is of -$2.5.
Item b:
With an unknown ticket price, the distribution is:
P(X = 500 - x) = 1/1000.P(X = -x) = 999/1000.The game is fair if E(X) = 0, hence:
[tex]\frac{500 - x}{1000} - \frac{999x}{1000} = 0[/tex]
0.5 - x = 0
x = 0.
The fair price of a ticket is of $0.5.
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11.
A. x = 2; (2, −13)
B. x = 4; (4, 11)
C. x = −2; (−2, 83)
D .x = −4; (−4, −11)
Answers
Answer:
I believe its b
Step-by-step explanation:
find the area of the polygon
Answers
Answer:
D. 984
Step-by-step explanation:
The are of the trapozoid is 1/2(B1+B2)+h
find the number that must be added to 40% of 225 to give 200
Answers
Answer:
x = 110
Step-by-step explanation:
find the number : x
that must be added : +
to :
40/100 * 225 + x = 200
2/5 * 225 + x = 200
90 + x = 200
x = 200 - 90
x = 110
A game app costs a base fee of $5.
You can download additional booster packs for $1.50 per pack.
If you spend a total of $23 on the game, which equation correctly models the situation, where n is the number of booster packs purchased?
Answers
Answer:
Step-by-step explanation:
So you have a constant value of 5 dollars and a variable value of 1.50 dollars. some equation of these numbers equals 23 dollars. That equation is
23=5+(1.50n) where n is the number of booster packs.
Answer:
$23 = $5 + 1.5x
Step-by-step explanation:
We can make a format to find the equation.
Total = base fee + $ per pack
Let x = the number of packs
Therefore, the equation will be like this:
$23 = $5 + 1.5x
I hope this helps and please mark me as brainliest!
3.2 In the diagram below, ABCD is a parallelogram with Đ=9x-30° and B = 4x+20° 9.-30 B a 420 - 3.2.1 Calculate with reasons the value of x.
Answers
Answer:
D=9×30 and B=4x+20°=9.-30 B a 420
Four adults and three childern go to the teater for 74, whereas two adults and five childern are chraged 58. find the price of an adult's ticket and a child's ticket.
Answers
Answer:
the price of the adult's ticket is 14 and the price of the child's ticket is 6
Step-by-step explanation:
[tex]let \: x \: = adult \\ y = child \\ 4x + 3y = 74 - - - - 1\\ 2x + 5y = 58 - - - - - 2 \\ multiplying \: - - 2 \: by \: two \\ 4x + 10y = 116 - - - - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y = \frac{42}{7} \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
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jack had m math problems to complete during his vacation. he solved the same number of problems every day and finished them all in 5 days. Suppose Jack was solving 15 problems per day. Use this information and the answer to part (a) to build an equation. (the answer too part a was m/5)
Answers
Answer:
m/5=15
Step-by-step explanation:
Since Jack was solving m/5 problems per day, the equation to solve this would be the one given above.
The equation that represents the situation is m = 75x.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
If Jack solved m math problems in 5 days by solving the same number of problems every day, then he solved m/5 problems per day.
Now suppose Jack was solving 15 problems per day.
We want to find out how many problems he had to solve in total, so we can set up an equation using these two pieces of information:
15x = m/5
Here, x represents the number of days Jack took to solve all the problems.
We can solve for m by multiplying both sides of the equation by 5:
75x = m
So the equation we get is:
m = 75x
Therefore, this equation relates the total number of math problems Jack had to solve (m) to the number of days he took to solve them (x), given that he solved 15 problems per day.
To learn more about the equation;
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The sum of 4 and the product of three and a number x
Answers
Answer:
4=3+x
Step-by-step explanation:
First, let the number be x.
The product of 3 and x looks like so:-
3x
Now, add 4 (the sum of 4 and 3x):
[tex]\bigstar\sf{3x+4}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
1. Select the three rational numbers.
A. 5/1
B. 7/0
C. -0.02
D. 4.17(the 7 repeats)
E. 3.14 (pi)
F. 3.14 (pi squared)
Answers
Answer:
A. 5/1
C. -0.02
D. 4.177777....
Step-by-step explanation:
Rational numbers can be written as a ratio of numbers, such as 5/1. As decimals, the numbers either
*** "terminate" the decimal has a certain number of digits and then stops, such -0.02, this can be written as a ratio -2/100 which is -1/50
OR
*** "repeats" , such as 4.17777... which can also be written as a ratio, 4.1777... = 188/45
7/0 is undefined and the pi numbers are irrational, the digits of the decimal do not repeat and do not ever end, therefore NOT rational.
Bus A travels according to the function y = 125/2x where y is distance traveled in miles and x is time in hours. Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster. we Include all necessary calculations in your final answer.
Answers
Answer:
Bus B
Step-by-step explanation:
For both buses, the slope is the speed.
Bus A: y = 125/2 x
m = 125/2 = 62.5
Bus A travels at 62.5 mph
For Bus B, wee look at the graph.
When x = 3, y = 200.
m = 200/3 = 66.666...
Bus B travels at 66.7 mph
Answer: Bus B
The perimeter of the rectangle is 104 ft.
2x+4
X
What is the length and width
Answers
Answer:
x=16ft 2x+4=36
Step-by-step explanation:
perimeter o rectangle=2(l+b)
2(2x+4+x)=104
4x+8+2x=104
x=16ft,2x+4=36ft
are these lines perpendicular? 6x+4y=-2 and y=3/2x-6
Answers
Which statement is a TRUE statement about rectangles?
The sides in a rectangle are not parallel.
The angles in a rectangle are all different.
The opposite sides in a rectangle are equal.
All the sides in a rectangle are equal.
Answers
Answer:
The opposite sides in a rectangle are equal.
Step-by-step explanation:
If all sides were equal, you would have a square.
If the opposite sides were not parallel, you would not have 4 sides that meet at 90 degrees.
All angles in a rectangle are 90 degrees.
Answer:
The opposite sides in a rectangle are equal.
Step-by-step explanation:
hope this helps hope you get it correct
Please somebody help me. I’m begging.
Answers
Answer:
d=1
Step-by-step explanation:
d=2*r
r=(1/2)
d=2*(1/2)=1
IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Answers
Answer:
m = 4
(0, 1)
y = 4x + 1
Step-by-step explanation:
Slope using first two points (-2, 7) & (-1, -3):
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-3+7}{-1+2} =\frac{4}{1}[/tex]
m = 4
Y-intercept, b: (0, 1)
Equation:
y = mx + b
y = 4x + 1
find the sum of the first 10 terms 125,50,20
Answers
Answer:
208.3
Step-by-step explanation:
Since the numbers are decreasing as multiples, its a geometric progression.
[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]
Group b.. pls help me
Answers
Answer:
Step-by-step explanation:
m∠ABC + m∠BAC + m∠ACB = 180°
a + 2a + 6a = 180°
9a = 180°
a = 20°
m∠ABC = 20°
m∠BAC = 2 × 20° = 40°
m∠ACB = 6 × 20° = 120°
What causes a heart attack?
A. When the arteries increase
B. When LDL metabolizes cholesterol
C. When the heart is starved of oxygen
D. When HDL returns cholesterol to the heart
Answers
Answer:
C.When the heart is starved of oxygen
A
seventy-eight and nineteen hundredths
B
seven hundred eighty and nineteen hundredths
C
seventy-eight point zero one nine
D
seventy-eight and nineteen thousandths
