Answers
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
Answer:
A. √40
Step-by-step explanation:
√49 = 7
√100 = 10
√9 = 3
but,
√40 = 6.32455532, so this is immperfect square
Related Questions
rewrite expression in the form k*z^n
Answers
Answer:
9z
Step-by-step explanation:
4th root of z = z^1/4
=> 3 * z^1/4
=> 3z^1/4
3z^1/4 * 3z^3/4
=> 3 x 3 x z^1/4 + 3/4
=> 9z^4/4
=> 9z^1
=> 9z
The expression [tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex] in the form k . [tex]z^{n}[/tex] is 9z.
We are given:
= [tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex]
We need to write this in the form of :
= [tex]k~.~z^{n}[/tex]
What are exponents and powers?We use exponents and powers when we want to write very large numbers or very small numbers in a simplified manner.
Example:
8 = 2 x 2 x 2 = [tex]2^{3}[/tex].
Where 2 is the base and 3 is the exponents.
72 = 8 x 9 = [tex]2^{3} \times3^{2}[/tex].
Here we have two bases 2 and 3 and two exponents 3 and 2.
8 / 9 = [tex]\frac{2^{3} }{3^{2} }[/tex] = [tex]2^{3} \times3^{-2}[/tex].
Here the bases are 2 and 3 and exponents are 3 and -2.
We have
[tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex]
Here,
[tex]\sqrt[4]{z}[/tex] can be written as [tex]z^{\frac{1}{4} }[/tex].
[tex]z^{\frac{1}{4} }~.~z^{\frac{3}{4} }[/tex] can be written as :
[tex]z^{\frac{1}{4} +\frac{3}{4} }\\\\ z^{\frac{4}{4} } \\\\z^{1} = z[/tex]
Now we have,
3 x 3 x [tex]z^{\frac{1}{4} }[/tex] x [tex]z^{\frac{3}{4} }[/tex]
3 x 3 x z
[tex]3^{2}[/tex] x z
9 x [tex]z^{1}[/tex]
So, comparing with k . [tex]z^{n}[/tex]
we have,
k = 9 and n = 1.
The expression [tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex] in the form k . [tex]z^{n}[/tex] is 9z.
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Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true? a = b =
Answers
Answer:
a = -1 and
b = 10
Step-by-step explanation:
Given:
h(x) = (x – 1)³ + 10
h(x) = (g compose f)(x).
f(x) = x + a and
g(x) = x³ + b
To find:
The values of a and b = ?
Solution:
First of all, let us have a look at the composite functions.
(g compose f)(x) means we replace the value of [tex]x[/tex] with [tex]f(x)[/tex] in the function [tex]g(x)[/tex].
We know that:
[tex]g(x) =x^3+b[/tex] and
[tex]f(x) = x + a[/tex]
Let us find (g compose f)(x) by replacing [tex]x[/tex] with [tex]x+a[/tex]
[tex](g\ compose\ f)(x) = (x+a)^3+b[/tex]
Also, h(x) = (g compose f)(x) = (x – 1)³ + 10
Therefore,
[tex](x - 1)^3 + 10 = (x+a)^3+b[/tex]
Comparing the corresponding elements of the above expressions:
we get a = -1 and
b = 10
Answer:
a: -1
b: 10
edge 2020
Y varies jointly with x. Y=16 when x=4 and z=1/2. Find y when x=2 and z=1/4. Enter the value of y in the box. Picture attached, 15 points and I'll give Brainliest! Due in two hours.
Answers
Answer:
y = 4
Step-by-step explanation:
Given that y varies jointly with x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 16 when x = 4 and z = [tex]\frac{1}{2}[/tex] , that is
16 = k × 4 × [tex]\frac{1}{2}[/tex] = 2k ( divide both sides by 2 )
8 = k
y = 8xz ← equation of variation
When x = 2 and z = [tex]\frac{1}{4}[/tex] , then
y = 8 × 2 × [tex]\frac{1}{4}[/tex] = 16 × [tex]\frac{1}{4}[/tex] = 4
Which expression represents the phrase “twice the quotient of 50 and a sum of a number y and 8
Answers
Answer:
2 * 50/(y + 8)
Step-by-step explanation:
"twice the quotient of 50 and a sum of a number y and 8"
y + 8
"twice the quotient of 50 and a sum of a number y and 8"
50/(y + 8)
"twice the quotient of 50 and a sum of a number y and 8"
2 * 50/(y + 8)
Answer:
2*50/ (8+y)
Step-by-step explanation:
twice the quotient of 50=2*50 divided by something
the sum of a number= y and 8
So... 2*50/ (8+y) is the answer
Can someone please tell me what this means? I don’t understand this will give brainliest please help
Answers
Answer:
1/2 of the dots
Step-by-step explanation:
The number of dots in a 5 by 8 array is 5*8 = 40 dots
The number of dots in the t is 20
faction = part/ whole
20/40 = 1/2
its 1/2
8x5=40
40/20=1/2
Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function l(x)=10/x. Suppose the width of the rectangle increases 1 unit while the area remains constant. Which graph models the length of the new rectangle
Answers
Answer: answer is C
Step-by-step explanation:
The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C
15 and 17 pls.. 15 points!!!!
Answers
Step-by-step explanation:
15) 50 ÷ 2 = 25
17) Mean = 301, Mode = 40-50
(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35
(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65
(70+80) ÷ 2 = 75
• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540
55×10 = 550, 65×4 = 260, 75×2 = 150
Mean = (60+200+350+540+550+260+150) ÷ 7
= 2110 ÷ 7
= 301.4285....
= 301
Mode : the highest frequency
Answer:
15) 50 ÷ 2 = 25
17) Mean = 301, Mode = 40-50
(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35
(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65
(70+80) ÷ 2 = 75
• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540
55×10 = 550, 65×4 = 260, 75×2 = 150
Mean = (60+200+350+540+550+260+150) ÷ 7
= 2110 ÷ 7
= 301.4285....
= 301
Mode : the highest frequency
Help Plzzz.........
Answers
Answer:
£7448
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is principle ( amount invested), R is rate of interest and T is time in years.
Here P = £5600, R = 11 and T = 3 , thus
I = [tex]\frac{5600(11)3)}{100}[/tex] = £1648
Value after 3 years = £5600 + £1848 = £7448
A lawn company advertises that they can spread 7,500 square feet of grass seed in 2 and a half hours. Find the number of square feet of grass seed that can be spread per hour.
Answers
Answer:
3000 square feet
Step-by-step explanation:
Divide 7,500 by 2.5:
7500/2.5
= 3000
So, 3000 square feet of grass seed can be spread per hour
if a+b+c=2 , ab+bc+ac= -1 and abc = -2 , then find the value of a^3 + b^3 + c^3
Answers
Answer: 8
Step-by-step explanation:
EQ1: a + b + c = 2 --> b + c = 2 - a
EQ2: ab + bc + ac = -1 --> b + c = (-1 - bc)/a
EQ3: abc = -2 --> bc = -2/a
Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":
[tex]2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad a=2[/tex]
Consider the solution a = 2 and plug it into EQ1 to solve for "b"
b + c = 2 - 2
b + c = 0
b = -c
Plug in a = 2, b = -c, and c = c into a³ + b³ + c³
2³ + (-c)³ + c³
= 8 - c³ + c³
= 8
Ms. Perez’s biology class continued to grow sunflowers. During the second week, the average sunflower grew 2.2 inches. The table shows the difference from the average for four students.
Answers
Answer:
4/5=0.8
-1 1/2= -1.5
The greatest number is=1.3
Mia, Raj, Clara, Jacob
Answer:
4/5 is equal to 0.8
-11/2 is equal -1.5
The greatest number is 1.3
The students names Mia, Raj, Clara, Jacob
Step-by-step explanation:
I took the assignment. Hope this helps! :)
If m∠XWZ = 90, what is x?
Right angle X W Z is divided into 2 acute angles labeled 5 x plus 5 degrees and 2 x plus 8 degrees.
Answers
Answer: x=11
Step-by-step explanation:
If m∠XWZ = 90 and is divided into 2 acute angles labeled 5x+5 degrees and 2x+8 degrees then the value of x is 11.
Given,
m∠XWZ = 90.
Right angle ∠XWZ is divided into 2 acute angles labeled as:
- 5x + 5 degrees
- 2x + 8 degrees.
We need to find the value of x.
What is an acute angle?An acute angle means angles that are less than 90 degrees.
If an angle is divided, the sum of the divided angles must be equal to the angle divided.
Find the right angle.
m∠XWZ = 90
Find the acute angles that are being divided.
= 5x + 5° and 2x + 8°
Find x.
Since m∠XWZ is divided we have,
90° = 5x + 5° + 2x + 8°
Now,
Add the like terms.
90 = 7x + 13
Subtract 13 on both sides.
90 - 13 = 7x
77 = 7x
Divide both sides by 7.
11 = x
x = 11
We can crosscheck the angles:
90° = 5x + 5° + 2x + 8°
90 = 5x11 + 5 + 2x11 + 8
90 = 55 + 5 + 22 + 8
90 = 60 + 30
90 = 90
Thus if m∠XWZ = 90 and is divided into 2 acute angles labeled 5x+5 degrees and 2x+8 degrees then the value of x is 11.
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why is -15/3 classified as an integer and not a rational number, even though it is a fraction.?
Answers
Answer:
see below
Step-by-step explanation:
Can we simplify the number
-15/3 simplifies to -5, which is an integer
We categorize the number to its smallest category and integer contains less than rational
You want to put a logo on each cell phone holder you make. Sew-on logos cost 2.30 for 10. Stick-on logos cost 9.40 for 100. Divide the cost by the number of logos for both types
Answers
Answer:
[tex]Rate = \$0.23[/tex] and [tex]Rate = \$0.094[/tex]
Step-by-step explanation:
Given
Sew-on logos
Cost = $2.30
Units = 10
Stick-on logos
Cost = $9.40
Units = 100
Required
Divide cost by units, in both cases
When we divide cost by units, it gives the unit rate.
i.e.
[tex]Rate = \frac{Cost}{Units}[/tex]
FOR SEW-ON LOGOS
Substitute $2.30 for Cost and 10 for Units
[tex]Rate = \frac{\$2.30}{10}[/tex]
[tex]Rate = \$0.23[/tex]
FOR STICK-ON LOGOS
Substitute $9.40 for Cost and 100 for Units
[tex]Rate = \frac{\$9.40}{100}[/tex]
[tex]Rate = \$0.094[/tex]
Hence, the solution is
[tex]Rate = \$0.23[/tex] and [tex]Rate = \$0.094[/tex]
Please answer for me way to hard for me its pre algera
Answers
Answer:
It probably has to deal with a joke or som10.
Step-by-step explanation:
Answer:
1. I
2. R
3. R
4. I
5. W
6. I
7. W
8. I
Step-by-step explanation:
18 cans of soda cost $6.48. What is the cost per can in dollars? Please help, I'm in a hurry
Answers
Answer:
36 cents
Step-by-step explanation:
In order to figure out how much one can cost you need to do 6.48/18 which then gets you 33 cents, the cost of one can.
3) Walt and 23 of his friends are going on a month-long
camping trip. Bags of marshmallows come with about 38
marshmallows per bag. They decide to bring 12 bags of
marshmallows to the trip. How many marshmallows will
each person get if they each eat the same number of
marshmallows and eat all of the marshmallows at camp?
Answers
Answer:
19 marshmallows per person.
Step-by-step explanation:
So, 38 marshmallows per bag and 12 bags were brought.
38 x 12 = 456
Walt and 23 of his friends - 24 people
456/24 = 19 marshmallows
what's 43 to the nearest hundred
Answers
Answer:
0
Step-by-step explanation:
43 rounded to nearest hundred is 0 because 43 is more closer to 0 than to 100.
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Answers
Answer:
It would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4(-8x + 5) – (-33x – 26)
Answers
Answer:
1x+46 is the answer
Step-by-step explanation:
=4(-8x + 5) – (-33x – 26)
opening brackets to simplify
=-32x+20+33x+26
=-32x+33x+20+26
=1x+46 is the answer
hope it will help :)
Answer:
x+46
Step-by-step explanation:
4(-8x + 5) – (-33x – 26)
The first step is to distribute and simplify.
4 distributed to -8x will be -32x, and same thing goes with 5, which is 20.
-
The first part of the equation is -32x+20
Now, this is where it gets confusing.
If there is a sign before a pair of parentheses, you always put 1. In this case, it's -1 distributed to -33x and -26.
So, the second part of the expression will be +33x+26
The whole expression is
-32x + 20 + 33x + 26
add like terms, -32x+33x= x.
20+26=46.
The answer is x+46.
Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the rectangle.
Answers
Answer:
A = ²⁵/₄x² + ⁷⁵/₂x + 50Step-by-step explanation:
L = ⁵/₂x + 10
W = ⁵/₂x + 5
A = L•W
A = (⁵/₂x + 10)(⁵/₂x + 5)
A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5
A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50
A = ²⁵/₄x² + ⁷⁵/₂x + 50
Or if yoy mean:
L = 5/(2x) + 10
W = 5/(2x) + 5
A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50
A company needs two loads of sand to make an indoor beach area when employee picnic one load of sand weigh 4 tons and the other load Waze 7500 pounds what is the total weight of sand in pounds
Answers
Answer:
15500 pounds
Step-by-step explanation:
The weight of one load is 4 tons and the weight of other load is 7500 pounds.
We know that, 1 ton = 2000 pounds
4 tons = 8000 pounds
Total weight = 8000 pounds + 7500 pounds
Total weight = 15500 pounds
So, the total weight of sand is 15500 pounds.
Evaluate: 20/ 5·2^-3
Answers
0.125 x 5 = 0.625
20/0.625 = 32
The answer is 32.
Step-by-step explanation:
[tex] = \frac{20}{5} . {2}^{ - 3} [/tex]
[tex] = 4. \frac{1}{ {2}^{3} } [/tex]
[tex] = \frac{4}{2 \times 2 \times 2} [/tex]
[tex] = \frac{4}{8} [/tex]
[tex] = \frac{1}{2} [/tex]
A washer and a dryer cost $600 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?
Answers
Answer:150
Step-by-step explanation:
600/4=150 (150)3=450 450+150=600
Answer: 150 dollars
Step-by-step explanation: Because the dryer is equal to washer divided by 3 you can substitute Washer/3 in the equation
W+ W/3=600
multiply both sides by 3
3W+W=1800
4W=1800
Divide both sides by 4
The answer to W is 450 dollars which you then divide by three to get 150 dollars
4/q divided by 2/3 solve the equation
Answers
Answer:
4/q÷2/3.
4/q×3/2.
=6/q.
Answer:
4/q ÷ 2/3
This can also be said as
4/q × 3/2 = 0
= 12/2q = 0
= 12 = 2q
= q = 12/2 = 6
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(5)) ?
Answers
Answer:
-13
Step-by-step explanation:
As per the order of operations, you do the parentheses first. g(5) is inside the parentheses of f(g(5)).
g(5) = -3(5) +5 = -10
Then ...
f(g(5)) = f(-10) = 2(-10) +7
f(g(5)) = -13
Which situation is an example of an observational study?
O A. Testing the effectiveness of a mouthwash by allowing one group
to use it and comparing the results with those of a group that
doesn't use it
O B. Dividing a class into thirds, giving each third a different amount of
time to read, and then testing comprehension
O C. Collecting the blood pressure readings of a group of elderly
individuals in a small town
O D. Having customers fill out a questionnaire about their favorite
brand of toothpaste
Answers
The situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".
What is an observational study?When researchers monitor the effect of a risk factor, diagnostic test, therapy, or other intervention without attempting to influence who is or is not exposed to it in observational studies.
For example: Consider someone standing on a popular street in a New York neighbourhood asking passers-by how many dogs they have, then analyzing the data to see if more pet food businesses are needed in the area.
As we know that in an observational study, the sample whose test/survey is been taken is completely random.
Therefore, the situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".
Learn more about Observational Study:
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Answer: C
Step-by-step explanation: Collecting the blood pressure readings of a group of elderlyindividuals in a small town
Which interval notation represents the set of all numbers from -9 to 0, inclusive?
Answers
Answer:
[-9,0]
Step-by-step explanation:
You use brackets to indicate that the numbers, in this case -9 and 0, are included in the interval.
You use parentheses to indicate that the numbers are excluded from the interval.
Since we want to include the numbers in the interval, we use the brackets.
The answer is [-9,0]
Hope this helps!
Susan is buying supplies for a party. Spoons only come in bags of 2 and forks only come in bags of 16. What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?
Answers
Answer:
She needs to get 8 bags of spoon and 1 bag of fork
Step-by-step explanation:
Here in this question, we want to know the least number of spoons and the least number of bags to be bought so that there are same number of each.
Basically, to calculate this, we need the lowest common multiple of 16 and 2. The lowest common multiple of both is 16 (2 is a factor of 16)
So the lowest number of each she can buy to have the same number of pieces is 16.
Kindly recall that spoons come in bags of 2. So to achieve the 16, she needs 8 bags.
Since fork comes in bag of 16, to achieve 16, she only need a single bag of fork.
ns
What personal qualities do you think Rudolph displayed to help her challenge people's
expectations?
pok