Answers
Step-by-step explanation:
step 1. the cube root is also to the 1/3 power
step 2. (27a^3b^7)^(1/3) = (3*3*3*a*a*a*b*b*b*b*b*b*b)^(1/3)
step 3. a third root: 3 factors in the root comes "out" of the root as 1
step 4. 3ab*b(b)^(1/3) = 3ab^2(b)^(1/3).
Related Questions
Find ML.
3x + 11
45
10x - 12
Please help me! I will mark brain list if you help :) thank you!
Answers
Answer:
58
Step-by-step explanation:
45=((3x+11)+(10x-12))÷2
90=13x-1
13x=91
x=7
ML=10(7)-12
=58
Using midline interval, the value of ML is 58.
What is midline interval?
The distance from the "midline of the interval to either end line is called midline interval".
According to the question,
The line JK is 3x+11, the line ML is 10x - 12. In order to find the value of ML.
The formula to calculate value of ML is midline value = [tex]\frac{(x1 + x2)}{2}[/tex].
Let x₁ = 3x + 11 and x₂ = 10x - 12
45 = [tex]\frac{(3x + 11) + (10x - 12 )}{2}[/tex]
90 = 3x + 11 + 10x -12
= 13x -1
13x = 91
x = 7
Substitute x = 7, in equation x₂ we get 10(7) - 12 = 70 - 12 = 58.
Hence, using midline interval the value of ML is 58.
Learn more about midline interval here
https://brainly.com/question/12992302
#SPJ2
Plz answer this question I
Answers
Answer:
In t years after 2019 there are going to be 39,523,462*(1.172)^t people.
Step-by-step explanation:
For a) We have a starting amount of 39,523,462 people in 2019, if each year it grows at a rate if 1.72% then 1 year after 2019 would have 39,523,462*1.172 people. In 2 years we would have 39,523,462*1.172*1.172 or 39,523,462*1.172^2 people etc. We could conclude that after t years there would be 39,523,462*1.172^t people. In part b) just calculate this when t=11 and round this to the nearest whole number, I think you can do it yourself.
write an equation of the line that passes through (2, -4) and (0, -4)
Answers
(2, -4) means 2 is your x1 and -4 is your y1
(0, -4) means 0 is your x2 and -4 is your y2
(y2-y1) = -4 - (-4) = -4 + 4 = 0
(x2-x1) = 0 - 2 = -2
0/-2 = slope of 0
Plug slope and one point into point-slope formula y-y1 = m(x - x1)
y - (-4) = 0(x - 0)
y + 4 = 0
y = -4
You have a horizontal line going through the point (0, -4)
...................
Given the statement ΔQRS ≅ ΔXYZ, list all congruent parts you can conclude about the two triangles. Explain.
Answers
Answer:
Side QR is congruent to Side XY.
Side RS is congruent to Side YZ.
Side SQ is congruent to Side ZX.
Angle Q is congruent to Angle X.
Angle R is congruent to Angle Y.
Angle S is congruent to Angle Z.
Step-by-step explanation:
Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.
question is the picture pls help if you can!!
Answers
Answer:
median = 2
mode = 0
Range = 10
Step-by-step explanation:
mark branliest
and if you need help just ask
work out the surface area of this sphere give your answer to 1 decimal place it is 2.6cm
if you can help again I will be soo appreciated thank you
Answers
Answer:
SA : 84.9cm³
Step-by-step explanation:
Formula : 4×pi×r² as well as 4pi r²
4 x pi x 2.6²=84.94866535
1dp : 84.9
Help! - Conjectures With Angles
Tommy has made a conjecture about the sum of two Obtuse angles.
' The sum of two obtuse angles cannot be an obtuse angle'
Do you agree with Tommy?
explain your reasoning
Answers
I agree with Tommy because the sum of the smallest obtuse angles (91+91⁰) is 182⁰ which is a reflex angle, not obtuse. The other obtuse angles will be bigger and so will not be obtuse either.
In a class where there are a total of 80 pupils, 20 are girls and the remaining
are boys. What percent of the class are boys?
Answers
Answer:
75%
Step-by-step explanation:
First find the number of boys.
80 - 20 = 60
Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.
[tex]\frac{60}{80}[/tex] × 100 = 75%
what is (9+8/7+6+89+65698-7875+77-88)*999999 you will give you 100 and brainlist if it is also incorrect
Answers
The answer is 57917084940
Step-by-step explanation:
1) Simplify 9 + 8/7 + 6 + 89 + 65698 - 7875 + 77 - 88 to 405420/7.
[tex] \frac{405420}{7} \times 999999[/tex]
2) Use this rule: a/b × c = ac/b.
[tex] \frac{405420 \times 999999}{7} [/tex]
3) Simplify 405420 × 999999 to 405419594580.
[tex] \frac{405419594580}{7} [/tex]
4) Simplify.
[tex]57917084940[/tex]
Therefor, the answer is 57917084940.
determine whether the ordered pair (3,-5) is a solution to the system -2x+y=-11 & -2x-2y=-4
Answers
Answer:
No.
Step-by-step explanation:
-2(3)-5=-6-5=-11
-2(3)-2(-5)=-6+10=4, not -4.
5x÷5 show the steps pls 5xdivided by 5
Answers
Answer:
x
Step-by-step explanation:
In this equation (5x/5), x will end up being by itself because 5/5 = 1. The 5's cancel out and it leaves x by itself.
5x/ 5 =0
x=5/5
X=1
Hence the answer is X=1...
During a school fundraiser contest, Georgia sold 49 coupon books and Molly sold 79 coupon books. The total number of coupon books sold during the contest was 354 books. What's the ratio of the number of coupon books that Georgia and Molly sold to the total books sold? Question 19 options: A) 128∕177 B) 79∕354 C) 49∕354 D) 64∕177
Answers
I would say it’s A
____________________________________________________
Twelve less than the cube of the sum of six times a number and three.
Answers
Answer:
[tex](6 * n + 3)^{3}[/tex] - 12
Step-by-step explanation:
Twelve less than the cube of the sum of six times a number and three.
1. Change the words into numbers and math symbols.
Twelve = 12
Less than = subtract -
sum of six times a number and three = (6 * n + 3)
cube = exponent 3
2. Write the problem.
[tex](6 * n + 3)^{3}[/tex] - 12
Given (9,4) and (x,−11), find all x such that the distance between these two points is 17. Separate multiple answers with a comma.
Answers
Answer:
The points are (1, -11) and (17, -11).
Step-by-step explanation:
The distance between points (x1, y1) and (x2, y2) is
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We have values for x1, y1, and y2. We leave x for x2, and we solve for x.
[tex] 17 = \sqrt{(x - 9)^2 + (-11 - 4)^2} [/tex]
Square both sides.
[tex] 289 = (x - 9)^2 + (-11 - 4)^2 [/tex]
[tex] 289 = x^2 - 18x + 81 + 225 [/tex]
[tex] x^2 - 18x + 17 = 0 [/tex]
[tex] (x - 1)(x - 17) = 0 [/tex}
[tex] x - 1 = 0 [/tex] or [tex] x - 17 = 0 [/tex]
x = 1 or x = 17
The points are (1, -11) and (17, -11).
Using distance between two points, it is found that the values are: x = 17, x = 1.
----------------------------
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
----------------------------
Points (9,4) and (x, -11).Distance of 17, thus [tex]D = 17[/tex][tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{(x - 9)^2 + (-11 - 4)^2} = 17[/tex]
[tex](\sqrt{(x - 9)^2 + (-11 - 4)^2})^2 = 17^2[/tex]
[tex](x - 9)^2 + (-15)^2 = 289[/tex]
[tex]x^2 - 18x + 81 + 225 = 289[/tex]
[tex]x^2 - 18x + 17 = 0[/tex]
Quadratic equation with [tex]a = 1, b = -18, c = 17[/tex].
Applying Bhaskara:
[tex]\Delta = b^2 - 4ac = (-18)^2 - 4(1)(17) = 256[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-(-18) + \sqrt{256}}{2} = 17[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-(-18) - \sqrt{256}}{2} = 1[/tex]
The values are: x = 17, x = 1.
A similar problem is given at https://brainly.com/question/22532602
In ΔXYZ, z = 81 cm, ∠Y=139° and ∠Z=6°. Find the length of y, to the nearest 10th of a centimeter.
Answers
Answer:
508.4
Step-by-step explanation:
This is on delta math
Answer:
508.4
Step-by-step explanation:
delta math
A+4<9 solve the inequality
Answers
Answer:
A < 5
Step-by-step explanation:
Move 4 to other side to isolate for x
A < 9-4
A < 5
Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the left over casserole. Jackie eats only 7/8 of her portion. What fraction of a whole casserole did Jackie eat? Express your answer as a simplified fraction.
Answers
Answer:
1/4
Step-by-step explanation:
Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole
Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole
Solve the inequality
-5x > 35
Answers
-x > 7
(Divide it by 5)
Answer:
x is greater than or equal to -8
Step-by-step explanation:
35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35
When ringing up a customer, a cashier needs 7 seconds to process payment as well as 1.5 seconds to scan each item being purchased. If it takes 28 second s to ring up a customer ,how many items are being purchased?
Answers
Answer:
14 items
Step-by-step explanation:
What we know:
- it takes 7 seconds to process the payment
- for every item, it takes 1.5 seconds to scan
- in total, it took 28 seconds to ring up the customer
With these pieces of information, we can construct the following equation:
[tex]28=1.5x+7[/tex] when [tex]x[/tex] is equal to the number of items there is
Subtract both sides by 7
[tex]28-7=1.5x+7-7\\21=1.5x[/tex]
Divide both sides by 1.5
[tex]\frac{21}{1.5} =\frac{1.5x}{1.5} \\14=x[/tex]
Therefore, 14 items were being purchased.
I hope this helps!
A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans the 16 ft ladder against a house 30-degree angle. Which ladder will he climb to the higher height? Explain the answer please
Answers
Answer:102
Step-by-step explanation:
Can somebody please help me
Answers
Answer:
Step-by-step explanation:
PLEASE ANSWER QUICKLY THX
Answers
Answer:
a. 5sqrt5 (sqrt 5 * sqrt 5 * sqrt 5 = sqrt125 = 5sqrt5)
b. 10sqrt10 (sqrt10 * sqrt10 * sqrt10 = 1000sqrt = 10sqrt10)
c. xsqrtx
I need help with this ASAP
Answers
Answer:
12.56637061 ?????
Step-by-step explanation:
Plz, help me I will give you a brainlist and Extra points. If you help me.
Select the expression that matches “subtract 3 from 4/9 of 20.”
A. 20−(4/9×3)
B. (4/9×20)−3
C. 4/9×(20−3)
D. 3−(4/9×20)
Answers
Answer:
B) (4/9 x 20)-3
What is the area of the circle in terms of pi?
Answers
Answer:
100π
Step-by-step explanation:
The formula for area of a circle is:
π[tex]r^{2}[/tex]
The radius is 10 feet.
[tex]10^{2}[/tex] is 100
This makes the expression representing the area of the circle:
100π
Write the Fractions in Simplest Form
21/56
Answers
Answer:
21/56 in simplest form is 3/8
Step-by-step explanation:
Which expression is equal to 0?
A) 2 + 0 + 3
B) 2x0x3
C) 1 + (0 x 2)
D) (1 x 2) + 0
Answers
Answer:
c
Step-by-step explanation:
fine
3. a) The area of a rectangle is 15 cm. If its length is 5
breadth Hint angin breadth - Area of rectangle
Answers
Answer:
Breadth = 3 cm
Step-by-step explanation:
Given:
Area of rectangle = 15 cm²
Breadth = a
Length = 5 cm
Find:
Breadth
Computation:
Area of rectangle = l x b
15 = 5 x a
Breadth = 3 cm
find the slope of the line that passes through the points (1,-4) and (3,-1)
Answers
Answer:
The slope is 3/2 or 1.5
Step-by-step explanation:
The slope is Rise/Run.
The difference in y-values, –1 -(-4) =3 is the rise.
the difference in x-values, 3 –1 = 2 is the run.
3)
Ten students from a class participated in a math quiz. The scores obtained by
them were recorded as follows.
11, 6, 7, 13, 1, 13, 16, 7, 13, 16
Mean :
Median :
Mode :
Range :
Answers
Answer:
Mean: 10.3
Median: 12
Mode: 13
Range: 15
Step-by-step explanation:
First, let's define what all these terms mean.
Mean is the average of all the numbers in a set of data. Median is the number in the middle of a range whenever the numbers are put in ascending order. If there are two numbers in the middle instead of one, then take the average of those two numbers. Mode is the number that occurs the most in the set of data. Range is the difference between the largest and the smallest number in a set of data.
To make things a little easier overall, let's just go ahead and put all our numbers in ascending order, which will be as follows: 1, 6, 7, 7, 11, 13, 13, 13, 16, 16.
To find the mean, just add up all the numbers and divide by how many there are. So we'll add 1 + 6 + 7 + 7... and so on to get a total of 103. Next, we'll divide that number by 10 since there are 10 students. This gives us a mean of 10.3.
Next, we'll find the median. To find this, just figure out which number(s) is in the center of your data. Since we have an even number of terms (10), we'll have two numbers in the middle, being 11 and 13. To find our median from here, just add 11 and 13 and then divide by 2. 11 + 13 = 24 and then 24 / 2 = 12. This means that our median is 12.
Next, we'll find the mode. The mode is the number that is seen the most in a set of numbers. In our set, we see that there are three 13s. Since 13 is the most frequently used number in our set, this makes it the mode.
Finally, we'll find the range. The range is just the largest number in the set minus the smallest number in the set. In our set, 16 is our largest number and 1 is our smallest. Just do 16 - 1 = 15 and we'll see that 15 is the range of the set. Hope this helps!