Answer:
because it's an odd exponent
Step-by-step explanation:
-2^3 = -(2*2*2)
(-2)^3 = (-2)*(-2)*(-2)
if it was ^4 the sign would be flipped:
-2^4 = -(2*2*2*2) = -16
(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16
The way to put this is that any negative base raised to an odd-numbered power, will result in a negative result, whereas any negative base raised to an even-numbered power, will result in a positive result, with the EXCEPTION of a negative base written WITHOUT grouping symbols. For instanse:
[tex]\displaystyle -1000 = -10^3 \\ -1000 = [-10]^3 \\ \\ BUT \\ \\ 10000 ≠ -10^4\:[-10000 = -10^4] \\ 10000 = [-10]^4[/tex]
I hope you know the differense now, and as always, I am joyous to assist anyone at any time.
Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
Answer:
35°
Step-by-step explanation:
A boat travels 300.4 kilometers in 11 hours (with a constant speed) how much time will it take traveling 240 kilometers
PLS HELPPPPP
Answer:
The boat travels (300.4 km / 11 hours) which is 27.30909091 kilometers per hour, So it would take 240 / 27.30909091 hours or 8.78828229 hours. (Which rounds off to 8.79 hours)
Step-by-step explanation:
A box of trading cards costs
$5.50. Michael wants to purchase
3 boxes. How much money does
Michael need?
Answer: He needs $16.50
Step-by-step explanation:
5.50*3 = 16.50
how many times greater is 7¹² than 3.5⁹
Answer:
7^12= 13841287201
3.5^9= 78815.6386719
Divide: 13841287201/78815.6386719= 175616
7^12 is 175616 times greater than 3.5^9
the average age of eight boys is 17 years. find the sum of their ages.
Answer
17-8= 9
Explanation
sana tama yan ang sagot ko
I've done the method I'm good at, but can't seem to get the answer.
Answer:
0.42484
Step-by-step explanation:
PLEASE PLEASE HELP ASAPPPP
In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2 , and point E is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2 :
Triangle ABC is shown. Point D lies on segment AC and point E lies on segment BC. A segment is drawn between points D and E. Po
Prove that segment DE is parallel to segment AB.
Answer with Step-by-step explanation:
you basically have to prove similarity, then use that to prove the two angles CDE & DAB are equal. You can prove similarity with AA, SSS, or SAS.
Find the inverse of the function f(x) = 3 − 4( x/2− 1/2).
Simplify your answer.
Answer:
[tex]f^{-1} (x)=-\frac{x}{2} +\frac{5}{2}[/tex]
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
Replace x and y, to find inverse function f , and compute the resulting equation for x.
there will be more than one inverse if the elementary function is not one-to-one.
So, exchange the variable: [tex]y=5-2x[/tex] becomes [tex]x=5-2y[/tex]
Now, solve the equation: [tex]x=5-2y[/tex] for y
[tex]y=\frac{5}{2} -\frac{x}{2}[/tex]
Which comparison is not correct?
1. 0<-4
2. -9<1
3. 2>-3
4. -7<-5
Answer:
0<-4
Step-by-step explanation:
0 is greater than -4 (-4 + 4 = 0)
Answer:
1. 0 is less than -4 is incorrect, so you should pick that one.
Step-by-step explanation:
A whole number is always greater than a negative number, so in this case 0 is actually more than -4.
Hope this helps!
please help fast. I will give brainliest!
Answer:
32.6ft
Step-by-step explanation:
θ = 25°
[tex]\theta=arccos(\frac{100}{\sqrt{h^2+28h+10196}})\\\\\\\\frac{100}{\sqrt{h^2+28h+10196}}=\cos{\theta}\\\\h^2+28h+10196=(\frac{100}{\cos{25}})^2 = 12174\\\\h^2+28h - 1978=0\\\\h = 32.6[/tex]
consider the line 6x+4y=-5
what is the slope of a line perpendicular to this line
what is the slope of a line parallel to this line
[tex]6x+4y=-5\implies 4y=-6x-5\implies y=\cfrac{-6x-5}{4} \\\\\\ y=-\cfrac{6x}{4}-\cfrac{5}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}} x-\cfrac{5}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{3}{2}} ~\hfill \stackrel{reciprocal}{-\cfrac{2}{3}} ~\hfill \stackrel{negative~reciprocal}{-\left( -\cfrac{2}{3} \right)\implies \cfrac{2}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \textit{and a \underline{parallel line} to this one will also have a slope of }-\cfrac{3}{2}[/tex]
Mr. Wilkins delivers newspapers to several houses on Maple Street. He delivers 27 papers every day, Monday through Saturday, and 32 papers on Sunday. How many newspapers does Mr. Wilkins deliver to the homes on Maple Street in 4 weeks?
What is the equation in point slope form for a linear function with a slope of m= -4 that passes through the pot
(2, - 7)?
Answer:
Step-by-step explanation:
m = -4 ; (x₁ , y₁) = (2, -7)
Point slope form: y - y₁ = m(x - x₁)
y - [-7] = (-4)(x - 2)
y + 7 =(-4)(x - 2)
(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.
Answer:
so i dont know the answer but i know that if u are determining the surface are then u should multiply two times and then divide once
Step-by-step explanation:
so 10 times 8 times 8 =640
~emmitheblackcat~
The surface area of the pyramid will be 224 square millimeters. The graph is labeled below.
What is the area?The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
The surface area of the pyramid is given as,
A = 4 (Area of triangle) + Base area
A = 4 x (1/2 x 10 x 8) + 8 x 8
A = 160 + 64
A = 224 square millimeters
The surface area of the pyramid will be 224 square millimeters. The graph is labeled below.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ2
What is the slope of the line through (-5, -10) and (-1, 5)?
[tex] the \: slope \: is \: \frac{15}{4} \: or \: 3.75 \\ \\[/tex]
[tex]using \: the \: slope \: fourmula \: = \\ \\ m = \frac{y {}^{2} }{x {}^{2} } - \frac{y {}^{1} }{x {}^{1} } \\ \\ plugging \: in \: our \: points \: = \\ \\ m = \frac{5}{ - 1} - \frac{ - 10}{ - 5} \\ \\ = \frac{5}{ - 1} + \frac{10}{5} \\ \\ [/tex]
[tex] = \frac{15}{4} \\ \\ = 3.75[/tex]
I HOPE IT HELPS YOUPLEASE MARK ME BRAINLIEST:)How far is -10 from 0
Answer:
10
Step-by-step explanation:
Distance is always positive
|-10-0|=10
Mark me brainliest!!
Answer:
10! if you can make me brainiest id be happy:)!
Step-by-step explanation:
eric have rock and classic. the rock is 3 times more than classic. let c represent classic. what the expression for number of rock
Answer:
3c
Step-by-step explanation:
3c im pretty sure. Since it is 3 times classic. classic is c. so rock must be R. so R=C3.
There are 8 bags of yellow and green balloons. Each bag contains 9 balloons.
How many total balloons are there in total?
Answer:
72
Step By Step Explanation:
What is the area of this quadrilateral
A. 42 square feet
B. 30 square feet O
C. 36 square feet
D. 12 square feet
Answer:
A
Step-by-step explanation:
You start with the rectangle. The formula is l×w.
10× 3=30
You move on to the triangles.
the formula is 1/2bh.
3×4=12
12/2=6
you add all of the values together
30+6+6=42 square feet
Find the slope and the y-intercept of the line.
3x+2y=7
Write your answers in simplest form.
Step-by-step explanation:
Make 3x+2y=7 to slope intercept form. y = mx + b
So subtract 3x from both sides to get 2y= -3x + 7
Then divide by 2 on both sides to get y = -3x/2 + 7/2
The slope is -3/2 and the y-intercept is 7/2
The distance between City A and City B is 250 miles. A length of 1.6 feet represents this distance on a
certain wall map. City C and City D are 2.24 feet apart on this map. What is the actual distance
between City C and City D?
The actual distance between City C and City D is ? miles
Answer:
Y = city C - city D = 2.24 ft
2.24 ft / (1.6 ft / 250 mi) = 350 mi distance between C and D
Note: 250 mi / 1.6 ft = 156.25 mi / ft
156.25 mi / ft * 2.24 ft = 350 mi
Find the value of x, y, and z in the rhombus below
Answer:
Step-by-step explanation:
Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]
Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]
Which graph shows the solution set for 2x + 3 > -9?
Answer:
Last one
Step-by-step explanation:
Simplify the inequality
2x + 3 > -9
Subtract 3
2x > -12
Divide by 2
x > -6
The last one shows x > -6 so it's the correct answer.
Kara opens a savings account with
$500. She makes no changes to this
account for 2 years. Her account has a
compound interest rate of 3% per year,
compounded annually. What will be the
total amount in the account at the end
of the 2 years?
Answer:
470
Step-by-step explanation:
6% of 500 is 30 minus 500 u 470
the area of rectangle is x²+5x-36 sq. unit. its length and breadth is reduced by 2/2units. find new area of rectangle
Step-by-step explanation:
length × breadth = x² + 5x - 36
let's find, what expression was multiplied by what expression to give that result.
first we see, we have a pure x² term.
so, both start with (x + ...) or (x - ...).
then we see the last (constant) term -36.
so, we have a
(x + a)(x - b)
situation.
36 is the product of
6×6
9×4
12×3
18×2
the term +5x tells us that the difference between a and b must be 5. and a as the positive number must be bigger to give us the "+" (the multiplication contains "... + ax - bx ...").
and that means a = +9, b = -4
so, the original area calculation was
(x + 9)(x - 4) = x² + 5x - 36
when we decrease both factors by 2, we get
(x + 9 - 2)(x - 4 - 2) = (x + 7)(x - 6) = x² + x - 42
that is the new area of the rectangle.
Solve by factoring 6p^2 - 13p + 6 = 0
Show all work below
Answer:
p = 3/2 ; p = 2/3
Step-by-step explanation:
Problem 2.2
A company bought a milling machine for $ 100,000. The company intends to use the machine for the next 5 years. The machine is expected to save the company $ 42,000 during the first year of operation. Thereafter annual savings are expected to decrease 3% each year due to maintenance costs. Assuming 4,000 hours of operation per year and that the machine will have no “Salvage Value” at the end of the 5 years, determine the equivalent savings per hour of operation at 14% compounded annually.
This data set represents the number of cups of flour used in different recipes. What is the mean of this data set? {1/2, 1/3, 2/3, 1 1/2} Enter your answer as a fraction in simplest form in the box.
Using it's concept, it is found that the mean of the data-set is of [tex]\frac{3}{4}[/tex].
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, the 4 observations are given by:
[tex]\left{\frac{1}{2}, \frac{1}{3}, \frac{2}{3}, 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{3}{2}\right}[/tex]
Hence, the mean is given as follows:
[tex]M = \frac{\frac{1}{2} + \frac{1}{3} + \frac{2}{3} + \frac{3}{2}}{4} = \frac{\frac{3 + 2 + 4 + 9}{6}}{4} = \frac{18}{24} = \frac{3}{4}[/tex]
The mean of the data-set is of [tex]\frac{3}{4}[/tex].
More can be learned about the mean of a data-set at https://brainly.com/question/24628525
Simplify this expression 14x + 5y - 8x - 9y
Answer:
6x - 4
Step-by-step explanation:
14x + 5y - 8x - 9y
Simplify by combining like terms:
14x - 8x + 5y - 9y
= 6x + 5y - 9y
= 6x - 4
hope this helps!! p.s. i really need brainliest :)
*WILL MARK BRANLIEST PLEASE ANSWER*
Guys what is the perimeter?
-PHOTO INCLUDED-
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Perimeter of a triangle = sum of measures of each side ;
[tex] \qquad \rightarrow \sf p = 9 \: ft + 8y + 14 \: ft[/tex]
[tex] \qquad \rightarrow \sf p =23 \: ft + 8y[/tex]