Answer:
1)
5⁻³ = 1/5³ = 1/1252)
-3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)3)
3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴4)
7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²5)
(8¹⁰)² = 8¹⁰*² = 8²⁰6)
(9x8)⁴ = 9⁴x8⁴7)
(2/7)⁵ = 2⁵/7⁵Answer:
1) [tex]5^{-3}[/tex]-
Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]5^{-3}=\frac{1}{5^3}[/tex]
[tex]=\frac{1}{5^3}[/tex]
[tex]5^3=125[/tex]
Answer:- [tex]\frac{1}{125}[/tex]
---------
2) [tex]-3^{-4}[/tex]
[tex]-(\frac{1}{3} )^{4}[/tex]
Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]
---------
3) [tex]3^{-8}\times 3^{4}[/tex]
[tex]3^{-8+4}[/tex]
Answer:- [tex]3^{-4}[/tex]
----------
4) [tex]7^{-3} /7^{-5}[/tex]
[tex]7^{-3-(-5)}[/tex]
[tex]7^{-3+5}[/tex]
Answer:- [tex]7^{2}[/tex]
----------
5) [tex](8^{10} )^{2}[/tex]
[tex]8^{10\times2}[/tex]
Answer:- [tex]8^{20}[/tex]
---------
6) [tex](9\times8)^{4}[/tex]
Answer:- [tex]9^{4} \times 8^{4}[/tex]
---------
7) [tex]\left(\frac{2}{7}\right)^5[/tex]
Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]
-----------------------
OAmalOHopeO
-----------------------
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5
Answer:
13x13x5
Step-by-step explanation:
We can write 845 as
845 = 13 x 13 x 5
because
845 = (13x13) x5 = 169 x5 = 845
so the expression is
13 x 13 x 5
A group of neighbors is holding an end of summer block party. They buy ppp packs of hot dogs, with 888 hot dogs in each pack. All together, they have 565656 hot dogs for the party.
Write an equation to describe this situation.
How many packs of hot dogs did the neighbors buy?
Answer:
565656÷8=p
So the answer is 637:D
Graph the following lines
My brain has stopped working, can you answer this?
Answer:
$40.00, $30.00, B
Step-by-step explanation:
We can first write an expression for the cost of each plan.
Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have
15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A
For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.
Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get
1500 + 5 * x + 5 * y
combine like terms
1500 + 5 * (x+y)
plug 200 in for x and 100 in for y
1500 + 5 * (200+100)
1500 + 5 * (300)
1500 + 1500
3000
divide by 100 to convert to dollars
$30.00 is the cost for plan B
$30 < $40, so plan B will be cheaper for Jaden
Please help
Solve for x
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle
please help, I'm so confused how to-do this
Answer:
Step-by-step explanation:
use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0
[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]
y = 17.07106~ or 2.928932~
If, triangle ABC, the measure of angle B is greater than 90 degrees, and AB=BC, what is a possible measure for angle C in degrees?
A. 35
B. 45
C. 60
D. Can not be determined
Answer:
A
Step-by-step explanation:
Let us start with B = 90
That would mean that each of the other 2 angles must add to 90 which makes each of them 45.
But the question doesn't allow that. B has to be greater than 90 which means that the other two angles must be less that 45 each.
the only answer that does that is A
HELP ASAP! correct answer gets brainly and 50 points!!!
Solve the equation for π.
A=12πr2
Answer:
π is equal to 3.14
A=πr^2 is the equation to get the area of a circle where r is the radius.
Answer:
π=A/12r2
Step-by-step explanation:
A=12πr2
divide both sides by 12r2
A/12r2=12r2/12r2
π=A/12r2
Can someone help me out
Answer:
75.7
Step-by-step explanation:
Area of the sector,
17²×π×30/360
= 289π/12
= 75.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
Translate this phrase into an algebraic expression. Five more than the product of 8 and Vanessa's savings Use the variable v to represent Vanessa's savings.
Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
if l=5 and b=3 find the value of 2 (l+b)
Answer:
16
Step-by-step explanation:
2 (l+b)
Let l=5 and b=3
2 (5+3)
Parentheses first
2(8)
Multiply
16
Answer:
16
Step-by-step explanation:
Plug in:
2 (l + b)
2 (5 + 3)
2 (8)
16
Hope this helped.
Will Mark Brainlest !!!=
Answer:
Hello,
Answer m=-1, n=-6,l=2
Step-by-step explanation:
[tex]A*U=B\\\begin{bmatrix}3&-1&0\\0&1&3\\0&0&2\end{bmatrix}*\begin{bmatrix}m\\n\\l\end{bmatrix}=\begin{bmatrix}3\\0\\4 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2} \\\\0&0&\frac{1}{2}\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\[/tex]
[tex]U=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2}\\\\0&0&\dfrac{1}{2}\end{bmatrix}*\begin{bmatrix}3\\0\\4\\\end{bmatrix}=\begin{bmatrix}-1\\-6\\2\end{bmatrix}\\\\[/tex]
[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]
Answer:
x = 4
Step-by-step explanation:
1/5x + 4/5 = 8/5
Multiply each side by 5 to get rid of the fractions
5(1/5x + 4/5) = 8/5 *5
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of thousand miles and a standard deviation of thousand miles. Complete parts (a) through (d) below.
Complete question is;
A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.
a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.
b) Interpret the z-score
c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?
d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.
Answer:
A) z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average
C) P(z > 2.5) = 0.0062
D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Step-by-step explanation:
A) We are given;
Population mean; μ = 55000
Sample mean; x¯ = 42000
Standard deviation; σ = 11000
Z-score formula is;
z = (x¯ - μ)/σ
z = (42000 - 55000)/11000
z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.
C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;
P(z > 2.5) = 1 - P(z < 2.5)
From p-values from z-score table, we have;
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.
Thus;
z = (85000 - 55000)/11000
z = 2.73
This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
HELLO HELP ASAP ATTACHING PIC BELOW ITS KHAN
Answer:
a
Step-by-step explanation:
the graphic is step by step
Answer:
A
Step-by-step explanation:
Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.
Hope this helps! Please mark Brainliest :)
twelve cubes are stacked to make this figure
Answer:
rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
Find the volume of the prism. 3m 5m 36m
Answer:
540m^3
Step-by-step explanation:
There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.
Answer:
the answer is 540
Step-by-step explanation:
because 3x5x36=540
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
D and C
Step-by-step explanation:
1) You can cross check using desmos.
2) cos(120) is - 0.5
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime
factors.
18
Answer:
composite number
prime factors={2,3}
factors of 18={1,2,3,6,9,18}
❏ Hello there! ❏
This number is composite.
Prime numbers have only two factors.
An example of a prime number is 5 (it's divisible by itself and 1)
Every prime number is divisible by itself and 1 (only these two numbers)
Composite numbers, however, have 3 or more factors.
18 has more than 3 factors, therefore, it's composite.
Product of prime factors:
2*3*3
2 is prime, because it's divisible by itself and 1
3 is prime as well
Hope it helps you!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature -[/tex]
HELPPPPPP please guyss
Instructions: Find the missing side. Round your answer to the nearest
tenth.
590
28
X
X=
What is Three-Quarters of Three-Quarters?
In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)
Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
jack wants to run at least 275 miles before the baseball season begins. he has already run 25 miles. he plans to run 2.5 miles each day. at this rate what is the fewest number of days he will need to reach his goal
Hey there! I'm happy to help!
We see that Jack has already run 25 miles.
25
He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.
25+2.5x
And he needs this to equal 275.
25+2.5=275
We subtract 25 from both sides.
2.5x=250
We divide both sides by 2.5
x=100
So, Jack will need to run 100 days to meet his goal.
Have a wonderful day and keep on learning! :D
Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.
Answer:
Hello,
Step-by-step explanation:
Best fit: quadratic y=5.3x²-9.3+6.1
with an total error of 0.4
1. Mrs. Jones picks 3 flowers a day starting on Monday. How many does she have by Sunday?
2. 603 cats have 4 kittens each. How many kittens are there in total?
Answer:
1. 18
2. 2412
Step-by-step explanation:
1. Monday 3
Tuesday 6
Wensday 9
Thursday 12
Friday 15
Sunday 18
_____________________________________________________
2.
603*4=2412
Can someone please help?
Answer:
1.
C. 6561 is the answer that the table represents
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 8, 9 ] , then
Continuing the table from x = 6 , multiplying values of y by 3
x y
6 729
7 2187
8 6561
9 19683
f(b) = f(9) = 19683
f(a) = f(8) = 6561
average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B
Consider the following linear system.
-2x+5y=23
-10x+ky=115
The value of k that will produce a system with an infinite number of solutions is:
a. -25
b. 25
c. -5
d. 5
Answer:
b. 25
Step-by-step explanation:
To have an infinite number of solutions, both equations must be equal.
-2x + 5y = 23
-10x + ky = 115
Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.
-10x + 25y = 115
-10x + ky = 115
For the equations to be equal, you must have
25y = ky
Divide both sides by y.
k = 25
Answer: b. 25
