Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]
Sally took 3 tests. Her average on these tests will give her her grade. Find Sally’s grade.
Scores: 65 90 85
Answer:
80
Step-by-step explanation:
Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80
Find the size of an angle which is four times its complement.
______is 15% of $84,652?
Answer: $12,697.80
Step-by-step explanation:
To find 15% of $84,652, you want to multiply them together.
0.15×84,652=12,697.80
Now, we know that $12,697.80 is 15% of $84,652.
Can someone help me with 5 and 6?
Answer:
5.
[tex]\left(8-6\right)^5\cdot \:2^{-4}+2^0[/tex]
Subtract 8 - 6 = 2:
[tex](2)^5\cdot \:2^{-4}+2^0[/tex]
Anything to the power of 0 is 1. (Except 0):
[tex]2^5\cdot \:2^{-4}+1[/tex]
Multiply:
[tex]2^{5-4}+1[/tex]
[tex]2^1+1[/tex]
[tex]2+1[/tex]
[tex]3[/tex]
6.
[tex]\frac{\left(9-1\right)^5}{\left(6+2\right)^3}[/tex]
Solve the brackets: 9 - 1 = 8 and 6 + 2 = 8:
[tex]\frac{8^5}{8^3}[/tex]
[tex]8^{5-3}[/tex]
[tex]8^2[/tex]
(or [tex]64[/tex] for exact value)
Hey can some please help it's due today thanks!!!
Darnell thinks that -4 is less than -6 because 4 is smaller than 6, and -4 is closer to 0 than -6 is. Explain why Darnell is incorrect.
Answer:
Darnell is incorrect because negative numbers are different than positive numbers. -4 is greater than -6 because it is closer to 0. Which means that it is closer to the positives. :) The biggest negative number is always going to be less than the smaller negative number. :)
Step-by-step explanation:
Answer:
Darnell is incorrect because she is thinking about positive numbers instead of negative numbers.
Step-by-step:
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
If UV=5x, VW = 8x - 17, and UW = 11x+11, what is UW
Answer:
UW=165
Step-by-step explanation:
UV + VW =UW
5x + 8x-17= 11x +11
13x - 17 = 11x + 11
Subtract 11x and add 17 to both sides:
2x= 28
Divide 2 both sides:
x=14
Plug in x to the equation of UW:
11 (14) +11
165
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error. 12 cartons(÷22.20) $22.22(÷22.20) Unit price = $0.54 $0.54(7) = $3.78
Answer:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Step-by-step explanation:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer:
Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Suppose 7 quarters, 4 dimes, 4 nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the box?
First, let's get the total amount of coins inside the box.
7 quarters + 4 dimes + 4 nickels + 3 pennies = 18 total coins.
(7 quarters / 18 coins) * 100 = 38.89% chance of picking a quarter
(4 dimes / 18 coins) * 100 = 22.22% chance of picking a dime
(4 nickels / 18 coins) * 100 = 22.22% chance of picking a nickel
(3 pennies / 18 coins) * 100 = 16.67% chance of picking a dime
Since the quarters have a higher percentage of being picked, we can expect to draw $0.25 from the box
Solve for the missing angle?
A) 32*
B)44*
C)61*
D)50*
Answer:
using question mark as reference angle
Base = 13
hypotenuse = 18
usimg trigonometric ratios
cos? = B/h
? = inverse(13/18) = 43.74 = 44°
Step-by-step explanation:
Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.
Note: Always remember that the perpendicular, base and hypotenuse changes with the reference angle.According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.
[tex] \cos( \theta) = \frac{base}{hypotenuse} \\ [/tex]
[tex] \cos( \theta) = \frac{13}{18} [/tex]
Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.
[tex] \theta = \cos {}^{ - 1} ( \frac{13}{18} ) [/tex]
[tex] \theta = \cos {}^{ - 1} (0.7222222222) [/tex]
[tex] \boxed{ \theta \approx \: 43.76174269 \degree}[/tex]
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HELPPPP PLEASE !!! I do not get this someone help
Answer:
20
Step-by-step explanation
not sure but looks like you need help as fast as possible here my answer the way i thought about is you have 70 degree angle and y looks like a right angle which = 90 degree
x = 180 - 70+90
x = 180 - 160
x = 20
The value of the angle x for the given triangle will be 20°.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given triangle,
m∠y = 90°
The exterior angle = sum of two interior angles except for the adjacent angle of the exterior angle.
110° = x + y
110° = x + 90°
m∠x = 20°
Hence "The value of the angle x for the given triangle will be 20°".
For more about triangles,
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if m+n=0, what is the value of n?
Answer: n= 0 - m
Step-by-step explanation:
To find value of n, isolate it by subtracting m from both sides.
Please help alg 2 will give you a brainlist!!
Answer:
y = 4/3
Step-by-step explanation:
the expression can be written as,
(x^8)^1/3 divided by (x^4)^ 1/3
so by using the rules of powers we can deduce y = 4/3
The rules are,
1. (x^y)^z = X^y*z
2. x^y * x^z = x^ y+z
3. x^y / x^z = x^ y-z
Hence,
8/3 -4/3 = 4/3
Write each expression in simplest form.
3d + 6d
2 + 55-4
2z+3-92-8
Answer:
9d
53
2z-97
Step-by-step explanation:
Its basically just simplification btw.
pingu!
The triangle shown is rotated 90 counterclockwise about the orgin what are the new coordinates of point A
Answer:
its A (2, 1 ) → A'(- 1, 2 )
Step-by-step explanation:
took test :)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
What is rotation?Rotation can be stated as the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.here, we have,
given that,
Vertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)
Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
To know more about rotation
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What is the value of x, when -25(x - 4) = -55(x - 10)?
Answer:
-25(x - 4) = -55(x - 10)
-25x+100= -55x+550
-25x+55x=550-100
30x=450
x=15
Answer:
x= 15
Step-by-step explanation:
Step 1- Distribute into the parenthesis
-25x-(-25)4= -55x-(-55)10
Step 2- Multiply to simplify
-25x+100= -55x+550
Step 3- Add -55x to both sides
-25x+100= -55x+550
+55x +55x
Step 4- Subtract 100 to both sides
30x+100= 550
-100 -100
Step 5- Divide both sides by 30
30x= 450
30 30
x= 15
3≤7+g what does g equal?
Answer:
-4
Step-by-step explanation:
Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4
You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?
Answer:
Hey there!
A good estimation is one dollar.
2 pairs of shoes for 14 dollars= 28 dollars
29-28=1 dollars.
Hope this helps :)
Does this graph represent a function? Why or why not?
Answer:
D
Step-by-step explanation:
There are no two points on the same line so the answer is D
I hope this is right!
Answer: It's B
Step-by-step explanation:
what is the answer to 0.15 = y - 0.45
Answer:
0.6
Step-by-step explanation:
If your exponent on your power 10 is positive, is your number larger or smaller than 10?
Answer:
See below.
Step-by-step explanation:
The number maybe less than 10, equal to 10, or larger than 10.
Examples:
A.
exponent: 1/2
10^(1/2) = sqrt(10) (less than 10)
B.
exponent: 1
10^1 = 10 (equal to 10)
C.
exponent: 2
10^2 = 10 * 10 = 100 (larger than 10)
if the image of (x,y)(x-1,y+2) is a (-5,2)what is the pre-image ,or a?
Answer:
the pre-image is ( -4, 0)
Step-by-step explanation:
Simply apply the appropriate transformation to each coordinate by using the information they give you:
x was converted via the transformation x -1 leading to the value -5,
so we write:
x - 1 = -5
and solve for x:
x = -5 + 1 = -4
y was converted via the transformation y + 2 leading to the value 2, so we write:
y + 2 = 2
and solve for y:
y = 2 - 2 = 0
Therefore the pre-image of the point is: ( -4, 0)
Which subset does 22 belong in
Which is the slope of the line that passes through 0,-4 and 3,-2
Answer:
The slope is 2/3
Step-by-step explanation:
Slope is the change in Y over the change in X.
ΔY / ΔX (That triangle symbol just means the change)
So subtract y2-y1 then x2-x1
-2-(-4) (the two negatives cancel out to a positive so you are left with -2+4)
then 3-0
-2+4= 2
3-0= 3
2/3
Answer: -2
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (-2 -4)/( 3-0)
= -6/3
=-2
8. Aaron was riding his bicycle to school at a rate of 18 miles an hour down the street. As he got
closer to school, he gradually slowed his bike until he stopped at the bike rack.
Which of the graphs below best represents the change in Aaron's position over time?
Answer:
A.
Step-by-step explanation:
Aaron was riding forward, so the position graph should always be sloping upward, with his position always increasing away from home. Lastly, he slowed gradually as he got closer to the school, until he stopped at the bike rack, so the slope of X does not fit. Graph Z best fits this situation.
Answer: its Y
Step-by-step explanation: I did the study island
The sum of two numbers is 82. One number is three less than four times the other. Find the two numbers.
Answer:
17 , 65
Step-by-step explanation:
x+ y = 82
y = 4x - 3
=====================
Put the second equation into the first.
x + 4x - 3 = 82
5x = 85
x = 85/5
x = 17
17 + y = 82
x = 82 - 17
x = 65
The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 52 M&M's.
A) State the random variable.
B) Argue that this is a binomial experiment.
Find the probability that:
C) 6 M&M's are brown.
D) 25 M&M's are brown.
E) All of the M&M's are brown.
F) Would it be unusual for a package to have only brown M&M's? If this were to happen, what would you think is the reason?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the scenario above :
A) State the random variable.
The random variable is the p opoertion of brown M&M's in a milk chocolate packet.
B.) Argue that this is a binomial experiment.
Each trial is independent for a total number of 52 trials with a set probability of success at 0.14
C) probability that 6 M&M's are brown:.
P(x) = nCx * p^x * (1-p)^(n-x)
p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6
P(x = 6) = 52C6 × 0.14^6 × 0.86^46
= 20358520 × 0.00000752954 × 0.00097035078
= 0.1487
D) P(x =25)
P(x = 25) = 52C25 × 0.14^25 × 0.86^27
= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245
= 0.00000000366
E) P(x = 52)
P(x = 52) = 52C52 × 0.14^52 × 0.86^0
= 1 × 3968.78758299*10^(-48) × 1
= 3968.78758299*10^(-48)
F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur
I NEED HELP ASAP. I need someone who can help with the rest of the questions
Answer:
(6,0)
Step-by-step explanation:
X-value:
10-8=2
8-2=6
Y-value
4-2=2
2-2=0
Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r
Answer:
q = r
Step-by-step explanation:
Explanation:-
Given 2q – r = 4p ...(i)
2r = q...(ii)
r = 2p ...(iii)
Substitute 2r = q in equation (i)
2(2r) – r = 4p
3 r = 4 p
2 r + r = 4 p
2 r + 2 p = 4 p
2 r = 2 p
q = r
You had $199, but you are spending $3 each day. What algebraic expression models this situation?
Answer:
y=199-3x
Step-by-step explanation:
you ave 199 and 3 pper day so is considered each day and whatever it equals it will be y
Answer:
A 199 -3d
Step-by-step explanation:
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