Answers
Answer:
1/125, -1/125, -125, 1
Step-by-step explanation:
1. 5^-3 = 1/5^3 = 1/125
2. -5^-3 = 1/-5^3 = -1/125
3. Take the answer above, its the first part of the question; (-1/125)^-1 = -125
4. Any real number raised to the 0th power is one.
Answer:
See below
Step-by-step explanation:
[tex]5^{-3}[/tex] - When you are raising a number to a negative power, it is the same as dividing 1 by that power when it is positive. So, [tex]5^{-3}[/tex] can be written as: [tex]\frac{1}{5^{3}}[/tex].
[tex]5^3[/tex] is 125, so we can substitute that in to get: [tex]\frac{1}{125}[/tex]
[tex]-5^{-3}[/tex] - This expression is the same as the one before, but it is negative. This means we can say [tex]-5^{-3} = -\frac{1}{125}[/tex]
[tex](-5^{-3})^{-1}[/tex] - We can start by writing [tex]-5^{-3}[/tex] as [tex]-1 * 5^{-3}[/tex]. Now, we can distribute the exponent -1, and simplify. Remember when raising a power in parenthesis to another power, you multiply them:
[tex](-1 * 5^{-3})^{-1}\\(-1)^{-1} * (5^{-3})^{-1}\\-1*5^3\\-1*125\\-125[/tex]
[tex](-5^{-3})^0[/tex] - We can start by writing [tex]-5^{-3}[/tex] as [tex]-1 * 5^{-3}[/tex]. Now, we can distribute the exponent 0, and simplify:
[tex](-1*5^{-3})^0\\(-1)^0 * (5^{-3})^0\\1 * 1\\1[/tex]
Related Questions
A moving truck is 16 feet long, 10 feet wide, and 8 feet high. If there are two boxes I. The truck that are each2 feet cubes, how much space remains in the truck?
Answers
Answer:
The space remaining in the truck is 1,276 cubic feet
Step-by-step explanation:
Given that the dimensions of the haul of the moving truck are;
The length of (the haul) of the moving truck = 16 feet
The width of (the haul) of the moving truck = 10 feet
The height of (the haul) of the moving truck = 8 feet
The number of boxes in the truck = 2 boxes
The dimensions of the boxes in the truck = 2 feet cubes
From the given dimensions, we have;
The volume of the boxes, [tex]V_{boxes}[/tex] = 2 ft.³ + 2 ft.³ = 4 ft.³
The volume of the haul, [tex]V_{haul}[/tex] = 16 feet × 10 feet × 8 feet = 1,280 ft.³
The amount (volume) of space remaining, V = [tex]V_{haul}[/tex] - [tex]V_{boxes}[/tex]
∴ V = 1,280 ft.³ - 4 ft.³ = 1,276 ft.³
The amount of space remaining, V = 1,276 ft.³
Write an integer that is less then -3 and greater and than -5?
Answers
the answer is -4 because it is smaller than -3 and greater than -5
Answer:
-4
look into the number line and you'll know clearly.. that when you move towards left of the number line, the number decreases
Can someone please help? I’ll give brainliest!!
Answers
Answer:
125 Length and 125 Width
Step-by-step explanation:
I believe this is true
Need help I’ll give you brainly
Plzzz
Answers
Answer:
a) Circle
b) 7.816
c) 1000cm³
May I have Brainliest?
Hope that this helps!
Solve for x.
A) 13
B) 26
C) 11
Answers
Answer:
13
Step-by-step explanation:
Once again we are looking at inscribed angles and intercepted arcs. Like stated previously an inscribed angle is equal to half its intercepted arc
That being said we want to create an equation to solve for x
The equation would be 7x + 5 = 192/2
We now solve for x
step 1 simplify
192/2=96
now we have 7x + 5 = 96
step 2 subtract 5 from each side
5 - 5 cancels out
96 - 5 = 91
7x = 91
step 3 divide each side by 7
7x/7 = x
91 / 7 = 13
we're left with x = 13
The mean age of 11 women in an office is 31 years old.
The mean age of 6 men in an office is 29 years old.
What is the mean age (nearest year) of all the people in the office?
Answers
Answer: 30.2
Explanation:
The mean is calculated by taking the sum of the values and dividing by the count.
For instance, for the 6 women, with the mean being 31, we can see that the ages summed to 186:
186
6
=
31
And we can do the same for the men:
116
4
=
29
And now we can combine the sum and count of the men and women to find the mean for the office:
186
+
116
10
=
302
10
=
30.2
Step-by-step explanation:
9514 1404 393
Answer:
30
Step-by-step explanation:
The total of the ages of the 11 women is 11·31 = 341. The total of the ages of the 6 men is 6·29 = 174. Then the total of the ages of all 17 people in the office is ...
341 + 174 = 515
and their average age is ...
515/17 ≈ 30.294 ≈ 30
The mean age of the people in the office, to the nearest year, is 30.
_____
The mean is the total divided by the number of contributors. Then the total is the mean times the number of contributors.
Find the area of the figure shown. Please help!!!
Answers
Answer:
See attached image!
Step-by-step explanation:
WHOEVER ANSWERS FIRST GETS BRAINLIEST
A mechanic had 4 1/2 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.
How many pints of motor oil did the mechanic use during the day?
4 pt
13 pt
19 pt
31 pt
Answers
Answer:
19
Step-by-step explanation:
i took the quiz
find the volume of a rectangular pyramid with the height of 9 length of 8 and width of 6
Answers
Answer:
V = 144 cm^3
Step-by-step explanation:
V = (lwh)/3
V = (8 x 6 x 9)/3
V = 144 cm^3
Which expression has (x – 3) as one of its factors? A. 6 – (x + 3) B. 6 + (x – 3) C. –6(x + 3) D. 6(x – 3)
Answers
Answer:
D. 6(x – 3)
Step-by-step explanation:
A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?
Answers
Answer:
191 Feet.
Step-by-step explanation:
Answer: Your answer should be 191!
Please help this is due in 15 min and I have no clue how to do this. Any tips appreciated
Answers
Answer:
the valu of x is 21 degree.
9x-22=167 degree
5x-7=98 degree
arc HGJ=159 degree
arc GKJ=201 degree
Step-by-step explanation:
Hope it helps you!!
hello please help i’ll give brainliest
Answers
Answer:
C
Step-by-step explanation:
Si un conjunto de datos se expresa en metros(m), ¿en qué unidad de medida se expresará la varianza?
Answers
Answer:
Umm... I don't know.... Sorry.....
What are the coordinates of the vertex of y=x²+4x+3?
Answers
Answer:
(-2, -1).
Step-by-step explanation:
y = x² + 4x + 3
Completing the square:
y = (x + 4/2)^2 - (4/2)^2 + 3
y = (x + 2)^2 - 4 + 3
y = (x + 2)^2 - 1.
This is vertex form and the coordinates of the vertex are (-2, -1).
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
D.0
Step-by-step explanation:
If you graph the equation you can see that it doesn't cross the x-axis. It doesn't go lower than y=1. If you don't have a graphing calculator use Desmos. Also the +1 at the end of the equation tells you that it won't go lower than y=1.
Answer:
Never your answer is 0
Step-by-step explanation:
The equation creates what's called a parabola the line curves up the 1 represents the y axis so the line curves up from the y axis point 1 never touching the x axis
here's a graph to prove it also Brainiest?
Whats this surface area?
Answers
Answer:
62 sq units
Step-by-step explanation:
Area of top and bottom rectangles =
2(5x3) = 15 x 2 = 30
Area of front facing and back facing rectangle =
2(2x5) = 2 x 10 = 20
Area of side facing rectangles =
2(2x3) = 2 x 6 = 12
Total surface area = 30+20+12 = 62
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The Stem-and-Leaf Plot and Box-and-Whisker Plot show the monthly temperatures for a city over the course of a year.
Which graph can be used to find the mode? What is the mode?
A
Stem-and-Leaf Plot, Mode: 78
B
Stem-and-Leaf Plot, Mode: 80
C
Box-and-Whisker Plot, Mode: 78
D
Box-and-Whisker Plot, Mode: 58.25
Answers
Answer:
It's A.
Step-by-step explanation:
I got it right
A swimming pool is 14 yards long and 6 yards wide. What is the area of the bottom of the pool?
Answers
Answer:
84 yds
Step-by-step explanation:
multiply 14 by 6
Answer:
84 yrds
Step-by-step explanation:
14*6=84
If a line has a slope of -4, what is the y-intercept if it also passed through the point (-2, 7)?
Answers
Answer:
As slope is found by and our points are ( ) ( ) for the minimum and maximum heights, respectively, we can reason that the slope of the best fit line should be While this is by no means a perfect slope, it does provide us with a good estimate for the actual slope of the best fit line.Using the information, our equation has only one more variable ...
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
y=mx +c
y= -4X + c
7 = -4 x -2 + c
7= 8 + c
7-8 = c
-1 = c
The perimeter of a square is 36 centimeters.
What is the length of the diagonal of the square?
6√2 cm
9√2 cm
12√2 cm
18√2 cm
Answers
4x-2
x=5
can someone help me with this?
Answers
Answer:
x= 5/2
Step-by-step explanation:
Maria y juan deben realizar el mapamundi en medio pliego de cartulina para la tarea de sociales pero cada uno tiene un cuarto de cartulina maria le dice a su compañero que si unen los cuartos de cada uno obten dran el medio pliego que necesitan . Maria tine razon justifica tu rrespuesta
Answers
Answer:
Cuando María afirma que si unen sus dos cuartos de cartulina obtendrán el medio pliego que necesitan, esto es:
Verdadero.Step-by-step explanation:
Para entender mejor el ejercicio vamos a utilizar números cada vez que se habla de cantidades de cartulina, por lo tanto, María y Juan tienen 1/4 de cartulina cada uno, es decir, 1/4 * 2, y necesitan 1/2 pliego para poder realizar su tarea, por lo tanto, con la afirmación de María sobre unir los dos cuartos de cartulina, en caso de que sea verdadero, ocurrirá que la suma de los dos cuartos dará el medio pliego, como se muestra a continuación:
Total de cartulina de María y Juan = [tex]\frac{1}{4}+\frac{1}{4}[/tex]Total de cartulina de María y Juan = [tex]\frac{4+4}{16}[/tex]Total de cartulina de María y Juan = [tex]\frac{8}{16}[/tex]Procedemos a simplificar el fraccionario obtenido, sacando mitad tanto en el numerador como en el denominador:
Total de cartulina de María y Juan = [tex]\frac{4}{8}[/tex]Total de cartulina de María y Juan = [tex]\frac{2}{4}[/tex]Total de cartulina de María y Juan = [tex]\frac{1}{2}[/tex]Como puedes ver al final, la cantidad de cartulina de ambos, al ser sumada, da como resultado el 1/2 (medio) pliego que necesitan para su tarea de sociales, por lo cual la afirmación de María es correcta.
Carmita bought 20 pizzas for a party, An hour after the party started, 2/7 of the pizzas had been eaten. How many pizzas had been eaten?
Answers
Answer: 5 5/7
Step-by-step explanation:
Number of pizza bought = 20
Fraction of pizza ate = 2/7
Therefore, the number of pizzas that have been eaten will be:
= Fraction of pizza eaten × Number of pizza bought
= 2/7 × 20
= 40/7
= 5 5/7
Therefore, 5 5/7 pizza have been eaten
What is the solution of the quadratic equation.
Equation: 2x + 7x - 5= 10
Answers
Step-by-step explanation:
2x+7x-5=10
2x+7x= 10+5= 15
2x ×9=15
2x =15-9=5
x=5/2=2.5
hope it helped
ill give brainlist just answer correct
Answers
Answer:
16
Step-by-step explanation:
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Answers
Answer:
1 1/2
Step-by-step explanation:
Answer:
1 1/2 pint
Step-by-step explanation:
2 cups for pint.
2 times 4 is 8.
8-5=3
3/2=1 1/2
Answer:
3 cups
Step-by-step explanation:
because 1 pint is equal to 2 cups. so if she used 5 cups she will have 3 cups left.
(20 points) geometry
Answers
Answer:
2.5
Step-by-step explanation:
The shape shown below is a parallelogram. The formula for the area is base times height. We can substitute in what we have:
A = bh
6.5 = 2.6(?)
? = 2.5
What is the standard angle of a reference angle of 30° in Quadrant III?
A. 210 degrees
B. 225 degrees
C. 150 degrees
D. 240 degrees
Answers
Find the surface area of the prism. Please help this is over due
Answers
Answer:
171.125
Step-by-step explanation: