Answer:
Factor 10 into its prime factors
10 = 2 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified
At the end of this step the partly simplified SQRT looks like this:
sqrt (10p3)
STEP
2
:
Simplify the Variable part of the SQRT
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(p3) = p • SQRT(p)
Combine both simplifications
sqrt (10p3) =
p • sqrt(10p)
Simplified Root :
p • sqrt(10p)
HELP PLS WILL GIVE BRAINLISTE
Answer:
C.
Step-by-step explanation:
all you have to do is replace the x with 14 until the equation is true.
Answer: C and H
Step-by-step explanation:
plugging in for each equation for the first one C is the only one that comes up with a whole number and with H you divide and then add to get the answer :)
can anyone help? i’ll mark brainliest
|4x + 4| = 15
First, let's get rid of the absolute value signs to get the first solution.
4x + 4 = 15
Subtract 4 from both sides
4x = 11
Divide each side by 4
x = 11/4 or 2.75
Now, let's get the solution by changing 15 to -15.
4x + 4 = -15
Subtract 4 from both sides
4x = -19
Divide both sides by 4
x = -19/4 or -4.75
Jennie has 160 stuffed bears in her collection. She is storing her collection of bears in containers that
hold 20 stuffed bears. So far, she has already filled 5 containers. How many stuffed bears have not been
put in a container for storage?
Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan? USE NUMBERS ONLY.
Answer: 60 feets
Step-by-step explanation:
Given the question :
Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan?
Using a scale factor of 1 inch : 12 feet
Wingspan of plastic toy bird = 5 inches
Calculate the actual bird wingspan
(1 inch / 12 feet) = (toy bird wingspan / actual bird wingspan)
( 1 inch / 12 feet) = (5 / actual bird wingspan)
Actual bird wingspan = 5 × 12
Actual bird wingspan = 60 feets
Easton paid $68 for his plastic interlocking block set. Colin paid $17 for his plastic interlocking block set. How many more times did Easton pay then Colin
Answer:
4 more times
Step-by-step explanation:
The question says that easton paid 68 dollars for the interlocking set
Colin paid 17 dollars for his own.
We are required to find how many more times easton paid than colin
To do this we divide 68dollars by 17 dollars
68/17
= 4 times
This tells us that compared to colin, easton overpaid for his own set by 4times. Easton paid 4 more times than colin
Evaluate the expression.
10x - 3x2 when x = 2
Answer:
8
Step-by-step explanation:
Answer:8 or -16
Step-by-step explanation:
a) If you mean 10x - 3(x²) when x=2
10(2)- 3(2²)= 20-12=8
b) If you meant 10x - 3x²=
10(2)-(3 x 2)²= 20-6²
20-36=-16
Kane is training for a marathone. He started by running 3 miles during every training session. Each week plans to increase the distance of his run by 1/4 mile
Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks
Answer:
(11 + w ) / 4
Step-by-step explanation:
Given the following :
Initial miles kane plans to cover per session = 3 miles
Increase in miles covered per session = 1/4 mile per week
Hence, distance covered after w weeks :
Using the sum of an arithmetic progression formula:
Tn = a + (n - 1) d
a = first term = Initial / starting distance = 3 miles
n = nth term = number of weeks = w
d = common difference = constant increase in distance per week = 1/4
Hence, after w weeks :
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
Taking L. C. M
(12 + w - 1) / 4
(11 + w ) / 4
The expression that shows the distance Kane runs in a training session after w weeks will be; (11 + w ) / 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the Initial miles kane plans to cover per session = 3 miles
The Increase in miles covered per session = 1/4 mile per week
Using the sum of an arithmetic progression formula to calculate the distance covered after w weeks
Tn = a + (n - 1) d
a = first term = 3 miles
n = nth term = number of weeks = w
d = common difference = the constant increase in distance per week = 1/4
Hence, after w weeks,
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
= (12 + w - 1) / 4
= (11 + w ) / 4
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance kane runs in a training session after w weeks.
Determine the value of c that satisfies the given relation. 3c-1/3=c/2
Answer:
[tex]2c - 3[/tex]
Step-by-step explanation:
[tex]3c - \frac{1}{3} = \frac{c}{2} = 2c - \frac{1}{3} (2) = 2c - \frac{2}{6} = 2c - 3[/tex]
what is the opposite of 22
Answer:
the opposite of positive 22 would be -22
Step-by-step explanation:
(2.569
3
2. Stephanie has 3 bags of soil to put in her garden. Each bag of soil will cover 125 ft.
How many square feet will Stephanie be able to cover if she uses all these bags of soil?
(7.3A)
i cant understand your question define briefly
What is 25.894 - 12.65
Answer:
0.244
Step-by-step explanation:
Step 1:
12.894 - 12.65
Answer:
0.244
Hope This Helps :)
Answer: 13.244
Step-by-step explanation:
Please Help :)
Set up the equation and find the length of BC.
Answer:
BC= 29
Step-by-step explanation:
If the total, AC, is 54 and AB is 25 subtract those two to find the last part, BC.
(−2/3)x(1/6) please answer
Answer:
The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)
Answer:
- 1
9
Step-by-step explanation:
- 2
3 * 6
- 2
18
= - 1
9
Does anyone know the formula needed to solve this? Thank you
9.375, 9.75, 9.125 or 9.5 can you help me list each one from greatest to least
greatest to least:
9.75, 9.5, 9.375, 9.125
If it takes a company 4 hours to build 1,300 cell phones, at the same rate it will
take the company n hours to build 39,000 cell phones.
help me find b and c
Answer:
b = 48 °, c = 46°
Step-by-step explanation:
c = 46 ° as between parallel lines, alternate opposite angles are equal.
since opposite angles are equal 94 ° = 46 ° + additional angel
therefore b = 94° - 46 ° = 48 ° , as sum of 2 internal angles of a triangle is equal to opposite exterior angle.
Find the distance between the two points. (round to the nearest hundredths)
distance:
please bhelopppplp;pp[
Answer: The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and
Step-by-step explanation:The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and
Answer: (2.5,2)
Step-by-step explanation:
What is the value of x in the proportion StartFraction 2 and one-fourth over x EndFraction = StartFraction 1 and one-half over 3 and three-fifths EndFraction?
Answer:
x = 10 4/5
Step-by-step explanation:
We want to find the value of x in the expression below;
2 1/4/x = 1 1/2/3 3/5
The best thing to do here is to turn all the mixed fractions to improper fractions. Thus, we have;
9/2/x = 3/2/18/5
= 9/2x = 3/2 * 5/18
9/2x = 15/36
9 * 36 = 15 * 2x
324 = 30x
x = 324/30 = 10 8/10 = 10 4/5
Answer:
The correct answer is C or 0.5 or 1/2.
Step-by-step explanation:
I know this because I checked it 5 times.
Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Makayla's birthday.
Answer: c = 12 - 2t
Step-by-step explanation:
What is the distance between -3 and -2
Answer:
5
Step-by-step explanation:
if you subtract both of them in absolute value, you would get 5.
Also, if you take away the negatives, you would get your answer.
Answer:
1
Step-by-step explanination
The distance between -3 and -2 is one
-3-(-2)= -1
subraction sign turns to a positive and so does -2
Find the midpoint of the line segment with the given endpoints. (-3.1, -2.8) and (-4.92, -3.3)
Answer:
Step-by-step explanation:
(-3.1 - 4.92)/2 = -8.02/2 = -4.01
(-2.8 - 3.3)/2 = -6.1/2= -3.05
(-4.01. -3.05) the midpoint
(2,-4) and (6,2).
Find the mid point
Answer:
The answer is
( 4 , - 1)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,-4) and (6,2)
The midpoint is
[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]
We have the final answer as
( 4 , - 1)Hope this helps you
Answer:
The mid point must be (4,-1)
Step-by-step explanation:
mid point= [(X1+X2)/2 , (Y1+Y2)/2]
= [ (2+6)/2 , (-4+2)/2]
= [ 8/4 , -2/2]
= (4, -1)
If a gold bar has a length of 17.78 cm, a width of 9.208 cm, a height of 4.445 cm, and the density of gold is 19.3 g/cm^3, what is the
mass of the gold bar. Answer with the correct number of significant figures. Use the rounding rules.
A. 1.40x10^4 grams
B. 14 040 grams
C. 14 045.142 grams
D. 14 045 grams
Answer:
17.78×9.208×4.445=727.7275768
D=mass÷volume
mass=density×volume
mass=19.3g/cm3×727,7275768=14045,14223224=14045grams
In the figure at right, line l is a line of symmetry, m∠B=8x-4°, and m∠D=2x+14°. Use this information to write an equation and solve for x. Hint: Set ∠B = ∠D
Answer:x=3
Given: angle B = angle D
So, 8x-4=2x+14
8x-2x=14+4
6x=18
Therefore, x=3
What is -4.26 + 1.3
Please help me thanks
Answer:
-2.96
Step-by-step explanation:
HELP!!! Is the relationship a function?
Answer:
No
Step-by-step explanation:
It is not a function because the x should never repeat the y can but not the x.
Answer:
not a function
Step-by-step explanation:
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
Answer:
Step-by-step explanation:
V = l · w · h
V = (412)(312)(6)
V = (1872)(412)= 771,264 cm^3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{771264 \: \: {cm}^{3} }}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: length \: of \: a \: rectangular \: prism(l) = 412 \: cm}}[/tex]
[tex] \star{ \sf{ \: width \: of \: a \: rectangular \: prism \: ( \: w \: ) = 312 \: cm}}[/tex]
[tex] \star{ \sf{ \: height \: of \: a \: rectangular \: prism \: ( \: h \: ) = 6 \: cm}}[/tex]
Finding the volume of a rectangular prism having length ( l ) of 412 cm , width ( w ) of 312 cm and height ( h ) of 6 cm :
[tex] \bold{\boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}[/tex]
[tex] \hookrightarrow{ \sf{volume \: of \: a \: rectangular \: prism \: = 412 \times 312 \times 6}}[/tex]
[tex] \hookrightarrow{\boxed{ \sf { volume \: of \: a \: rectangular \: prism = 771264 \: {cm}^{3} }}}[/tex]
Volume of a rectangular prism = 771264 cm³
Hope I helped!
Best regards! :D
~TheAnimeGirl
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your answer
Answer:
(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35
The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.
Step-by-step explanation:
Product means multiplication
Product of 2x - 5 and 3x^2 + 5x - 7
(2x - 5 ) (3x^2 + 5x - 7)
= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35
Collect like terms
= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35
= 6x^3 - 5x^2 - 39x - 35
Product of 5x - 2 and 3x^2 + 5x - 7
(5x - 2) (3x^2 + 5x - 7)
= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14
Collect like terms
= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14
= 15x^3 + 19x^2 - 45x + 14
The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.
They both consist of different variables in their multiplier
what is 1/4 to the power of 34???????
Answer:
I believe it is 3.3881318e-21 but you could round that
Step-by-step explanation: