Use perfect squares to find two consecutive integers to complete each inequality.
1) ? < √13 < ?
2) ? < √78 < ?
3) ? <√181 < ?
(Please hurry)
Answers
Following are the required perfect squares of each of the following.
A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 32 and is represented by the symbols 3×3.
Use perfect squares to find two consecutive integers to complete each inequality -
1. ? < √13 < ?
⇒ 9 < 13 < 16
⇒ 3 < √13 < 4
2. ? < √78 < ?
⇒ 64 < 78 < 81
⇒ 8 < √78 < 9
3. ? <√181 < ?
⇒ 169 < 181 < 196
⇒ 13 < √181 < 14
Comparing values -
π/2 < √34 5/6 √22 ⇒ 29/6 > √22-√29 = -5 2/5Arranging from least to greatest -
9/2 < √10 < 22/7 < 5/3
5 2/5 < 5.3 < 3√3 < √25
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Related Questions
A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.
Answers
Answer:
Step-by-step explanation:
From the given information;
The null hypothesis & alternative hypothesis:
[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z =2.11[/tex]
The p-value = 2(Z > 2.11) since this is a two-tailed test
The p-value = 2( 1 - Z < 2.11)
The p-value = 2 (1 -0.9826)
The p-value = 2 (0.0174)
The p-value = 0.0348
Decision Rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than [tex]\mathbf{H_o}[/tex]
Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.
In the expression 710 , which number is the exponent?
A) 10
B) 70
C 7
D) None of the above
Answers
Answer:
A.10
Step-by-step explanation:
An exponent is a number or letter written above and to the right of a mathematical expression called the base.
x is the base and n is the exponent or power. Definition: If x is a positive number and n is its exponent, then xn means x is multiplied by itself n times.
Solve –2(3x – 1) = 20 for x
Answers
Answer:
x = -3
Step-by-step explanation:
Distribution
3x(-2) -1(-2) = 20
-6x +2 = 20
Subtraction Property of Equality
-6x + (2 - 2) = (20 - 2)
-6x = 18
Division Property of Equality
(-6x/-6) = (18/-6)
x = -3
To check just plug in x
-6x = 18
x = 3
Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6
Answers
Answer:
D
Step-by-step explanation:
It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67
so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.
Evaluate the function when x = 12.
{(-9, 1), (3, 4), (6, 2), (12, -6)}
A. -6
B.1
C.4
D.2
Answers
Answer:
It is the second one B
Step-by-step explanation:
write 7^3 × √ 7 as a single power of 7
Answers
Step-by-step explanation:
7^3 × 7^(1÷2)
= 7^(3+ 0.5)
=7^3.5 ans
Would the mass of a mouse more likely be 150 gram or 150 kilograms
Answers
Answer:
150g most likely
Step-by-step explanation:
kg are a thousand times more than a gram
Write an equation that shows the relationship 40% of 140 is x
Answers
Answer:
x=140times0.4
Step-by-step explanation:
then subtract your anser from 140
En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Answers
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
A basketball and a pump cost $31. If the basketball costs three times as much as the pump, how much does each item cost?
Answers
Answer:
7.75
Step-by-step explanation:
31 divided by 4= 7.75
x/(x-2)*(x+2)*(x-1) into partial fraction
no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?
Answers
Answer:
((-1 + x) (2 + x) X)/(-2 + x)
Step-by-step explanation:
1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)
2 (x(x+1)-2)x)/(x-2)
3 (x(xx+x)-2x)/(x-2)
4(x^(2)x+xx-2x)/(x-2)
5 (-2 + x + x^2) X)/(-2 + x)
Root
X = 0 , X-2=0
Roots
X=-2
X=1
What is the correct factorization of -3x^2+16x+35
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
−(3x^2+5x−21x−35)
−(x(3x+5)−7(3x+5))
−(3x+5)(x−7)
00:00
Which pair of numbers has a GCF of 8?
8 and 28
16 and 56
32 and 16
40 and 55
How do you get the answer
Answers
Answer:
B. 16 and 56
Step-by-step explanation:
The greatest common factor or GCF, is the highest whole number that is a factor, or that multiplies to get, two or more numbers.
For example, option a, 8 and 28. 8 is a factor of 8, 8 times 1, but 8 is not a factor of 28. 28 divided by 8 will not give you a whole number.
Option c, 32 and 16, both have factors of 8. 4*8 is 32 and 8*2 is 16. This however, is not the gcf, because the true gcf is 16. 16*1 is 16 and 16*2 is 32. 16 will go into both evenly and is the highest number that will do so and is the gcf of that pair
d, 40 and 55, is the same as the first. 8*5 is 40, but 8 will not evenly go into 55 and cannot be a factor.
That leaves you with 16 and 56, the correct option
16 only has 3 factors, 16*1, 8*2, and 4*4, so 16, 8 and 4.
56 has more factors, 28, 14, 8, 7, 4, and 2. Those are the only numbers that multiply together to get 56. The highest number in both those lists is 8, so 8 is the Greatest Common Factor.
Hope this helps, and brainliest is much appreciated! Have an awesome day.
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-6
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-10
Answers
8x=63-x what is the solution?
Answers
Answer:
X = 7. You can confirm the answer yourself by plugging in this number. I hope I helped :)
Step-by-step explanation:
Please mark as brainliest.if the measure of angle a is 109, what is the measure of angle b
Answers
Answer:
71
Step-by-step explanation:
Those are supplementary angles meaning they add up to 180 degrees
180 - 109 = 71
That would make b 71 degrees
Answer:
71 degrees !!
Step-by-step explanation:
Since the angles A and B both are next to each other, they form a linear pair. Since they are a linear pair, they both add up to 180 degrees (same as a straight angle!) So, if A is 109, you would simply subtract that from 180, and you'd get 71 !!
180-109= 71 !!
I hope this helps... have a great day !
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator.
Answers
Answer:
t is less than or equal to 35
Step-by-step explanation:
Find the simplified form of the expression. Give your answer in scientific notation.
(4 * 10^10)(9x10^-5)
Answers
Step-by-step explanation:
Given
(4*10^10)(9*10^-5)
= 36 * 10^10 - 5
= 36 * 10^5
= 3.6 * 10^6
Hope it will help :)
how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
Answers
Answer:
The final balance is $5,796.37.
The total compound interest is $796.37.
Step-by-step explanation:
what is 8% as a decimal or fraction in simplest form and a fraction of 100
Answers
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 13)(0,13) and (3, 832)(3,832).
Answers
Answer: Down Below
Step-by-step explanation: y=ab%5Ex
that goes through points (0, 10) and (2, 490)
y=ab%5Ex.......plug in (0, 10)
10=ab%5E0
10=a%2A1
a=10
so far
y=10b%5Ex......plug in (2, 490)
490=10b%5E2
b%5E2=490%2F10
b%5E2=49
b=sqrt%2849%29
b=7
your function is:+y=10%2A7%5Ex
A function assigns the values. The exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the exponential eqation is y=abˣ, substitute any one of the point in equation we will get,
13 = ab⁰
13 = a ₓ 1
a = 13
Therefore, the function can be written as y=13bˣ.
Substitute other point in the equation,
832 = 13 (b³)
b³ = 832/13
b³ = 64
b = 4
Hence, the exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.
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Someone help me, please:)
Answers
Answer:
12
Step-by-step explanation:
This is the correct answer:)
What is the solution to x+4y=-1 and 2x + 5y=10??????
Answers
x=12
y=-4
Wanna talk??
Sorry I had the answer on two pages,; can’t post more than one photo
WILL MARK BRAINLIEST
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answers
Answer:
3/2Step-by-step explanation:
Let's solve your equation step by step:
Step 1: Simplify both sides of the equation.
x-3/4+2/3=17/12
x+-3/4+2/3=17/12
(x)+(-3/4+2/3)=17/12 (Combine like terms)
x+-1/12=17/12
Step 2: Add 1/12 to both sides
x+-1/12+1/12=17/12+1/12
x=3/2
A Ferris wheel has a radius of 48 feet. What is the distance a passenger will travel one time around the Ferris wheel?
96.0 feet
150.8 feet
301.6 feet
603.2 feet
HURRY PLEASEE
✿✿✿✿✿✿
Answers
Radius is only half so just times 2 and get 96
nmqlwmqlqmwmwmmwmqmmqm
Answers
Answer:
nmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqm
it's is estimated that each guest at the party will eat 5/8 pounds of chocolate.How. many guest can be served with 10 pounds of chocolate?
Answers
Answer: 16
Step-by-step explanation:
Guests = x
5x/8 = 10
x = 16
16 guests can be served with 10 pounds of chocolate when estimated each guest at the party eat 5/8 pounds of chocolate.
it's is estimated that each guest at the party will eat 5/8 pounds of chocolate. We need to find number of guests can be served with 10 pounds of chocolate
What is Equation?
Two expressions with an equal sign is called as equation.
When it's is estimated that each guest at the party will eat 5/8 pounds of chocolate. We need to find number of guests can be served with 10 pounds of chocolate.
we need to divide 10 by 5/8 to find the answer
10/(5/8)=10*8/5=80/5=16
Therefore 16 Guests can be served with 10 pounds of chocolate.
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The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?
Answers
Answer:
100
20 = 50
50 x2
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
250 books × 40%
= 100
other way to solve it is
250 × 0.40
= 100 fiction books
a town has a population of 70,230 in the year 2020. Over the next five years, 6556 people move into the town for work, but 4096
Answers
Answer:
63,674
Step-by-step explanation:
70,230-6556
=63,674
650^4×650^5= 650 to the what power
Answers
Answer:
650^9
power gets added when base is same