[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]
The volume of a sphere is 9,198.11 ft3. To the nearest foot, what is the radius of the sphere? Use 3.14 for π.
The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the transformed function? On a coordinate plane, an absolute value function is shown. The vertex of the function is at (negative 3, negative 2). It crosses the x-axis at (negative 5, 0) and (negative 1, 0) and it crosses the y-axis at (0, 1). y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2 y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2 y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3 y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3
Using translation concepts, it is found that the equation of the transformed function is:
y = |x + 3| - 2.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:
It was shifted 3 units to the left, hence x -> x + 3.It was shifted 2 units down, hence y -> y - 2.Thus, the equation of the function is now given by:
y = |x + 3| - 2.
More can be learned about translation concepts at https://brainly.com/question/4521517
Answer:y = |x + 3| - 2.
Step-by-step explanation: B on edge
Which of the following is the correct factorization of the polynomial below?
x^3 - 12
A. (x + 3)(x - 4)
B. (x - 3)(x + 4)
C. (x + 3)(x^2 - 4x + 4)
D. The polynomial is irreducible.
The number 111…111 (100 ones) is multiplied by 101. The resulting number is then also multiplied by 101. The number obtained in the second step is again multiplied by 101. What is the sum of the digits of the number obtained in the third step?
Answer:
800
Step-by-step explanation:
The three multiplication steps are equivalent to multiplying by ...
101³ = 1030301
The sum of digits of the product will be the sum of digits of the partial products, since none of the digit-by-digit multiplications results in a product that is more than 10.
The sum of digits of the third product is ...
(1 × 100) × (1 + 3 + 3 + 1) = 800
BRAINLIEST!!!
Given the figure below, find the values of x and z.
Step-by-step explanation:
87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20
Answer:
=> z = 87° { vertically opposite angle }
=> 87° + (9x-87) = 180° { linear pair }
=> 87 +9x-87 = 180
=> 9x = 180°
=> x = 180/9
=> x = 20°
Write each expression as a single power of 10.
Answer:
Refer to below!
Step-by-step explanation (a):
[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]
[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]
Step-by-step explanation (b):
[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow{10^{9} }[/tex]
Step-by-step explanation (c):
[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{2} }[/tex]
Step-by-step explanation (d):
[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]
[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]
[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{5} }[/tex]
Step-by-step explanation (e):
[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]
[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]
[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]
[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow {10^{4}[/tex]
If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level
Considering the p-value of the test, the correct option is:
b. will also not be rejected at the 1% level.
How do we reach the decision to reject or not reject the null hypothesis?It depends on the p-value of the test, as follows:
If the p-value is greater than the significance level, we do not reject the null hypothesis.If it is less than the significance level, we reject the null hypothesis.In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.
More can be learned about hypothesis tests at https://brainly.com/question/26454209
what is the distance of 53 yards square
Answer:
477 square foot
Step-by-step explanation:
cause yea
HI I am 10 years old and I need help with my math homework, here's what I need help with:
Pls help me it is do today
Answer:
1 1/4
Step-by-step explanation:
Answer:
5/4 or 1 1/4
Step-by-step explanation:
1 3/4 - 2/4 = 1 1/4 or 5/4
How do you write 9 1/10 as a decimal?) *
Answer:
Convert 9 1/10 to an improper fraction.
Decimal form
=9.1
Answer:
9.1
Convert [tex]9\frac{1}{10}[/tex] to [tex]9 + 1/10[/tex][tex]\frac{1}{10}[/tex] is the same as 1 divided by 10, which is 10, for this case 0.10Therefore, [tex]9 + 0.1 = 9.1[/tex]There are other, more complicated ways to do this, but we must start with an easier, understandable way first.
__________________________________________________________
Questions?Ask in the comments box.
If made $90.00 how much was paid hourly?
Answer:
Made in how long of a workshift?
Step-by-step explanation:
From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. Write your answer in simplest form.
Answer:
5/6
Step-by-step explanation:
In total there are 7+5+8+4+6=30 marbles. you need to take out the yellow marbles that you counted into the total of 30 marbles which would be 25 marble. this means that there are 25 out of 30 marble you can select that is not yellow. which gives you the probability of 25/30 simplify it to get 5/6
PLEASE HELP ASAPP!!! (NO LINKS) WILL GIVE BRAINLIEST
Find the number of solutions of
the
equation 6x^2 + 6x + 3 = 0 by
using the discriminant.
(1 solution, 2 solutions, or no
real solutions)
Answer:
No real solutions
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given equation: [tex]6x^2+6x+3=0[/tex]
[tex]\implies a=6, \quad b=6, \quad c=3[/tex]
Inputting these values into the discriminant:
[tex]\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}[/tex]
Teresa is loading her car with boxes that each weigh 4 3/4 pounds. If Teresa loads 9 of theses boxes find the combined weight of each box
Total weight:-
9(19/4)171/442-3/4lbsPls help me with My math I need the ans rn, Tysm.
Answer:
35 degrees
30 degrees
The sum of 4 and the product of three and a number x
Answer:
4=3+x
Step-by-step explanation:
First, let the number be x.
The product of 3 and x looks like so:-
3x
Now, add 4 (the sum of 4 and 3x):
[tex]\bigstar\sf{3x+4}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
What is the slope of
the line?
[?]
[]
Give your answer as
a fraction in simplest
form.
Answer:
slope = 3/2
Step-by-step explanation:
we rise 3 and run 2 which gives us y=3/2x
18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5
Answer:
A. 5/10
Step-by-step explanation:
Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50
Find the value of y.
As
<IJK and <IKJ are equal measured
The triangle is isoceles
The adjacent sides of both angles are similar
Hence
IJ=IKy=21Answer:
21
Step-by-step explanation:
as angle J and angle K are equal, sides JI and IK are also equal. So y = 21
A florist used 16 flowers to make a bouquet, including 6 lilies.
What is the probability that a randomly selected flower will be a lily?
Answer:
3/8
Step-by-step explanation:
Values we are given :
16 flowers in total6 liliesWe know that :
Probability of selecting an object from a group of items = Number of objects / Number of itemsTherefore,
Probability of selecting a lily = Number of lilies / Number of flowersP = 6/16P = 3/8100 pts what is 2X2+6X5+8
Answer:
It's 42.
Step-by-step explanation:
Order of operations:
4+6*5+8
4+30+8
34+8
= 42
Therefore, the answer is 42.
Answer:
42
Step-by-step explanation:
What is the equation of the following linear funchon?
Answer:
3x+8
Step-by-step explanation:
linear function formula ax+b
when x=3 3a+b=17 and when x=6 6a+b=26
3a=9 a=3,
when x=3 3.3+b=17 9+b=17 b=8
3x+8
Help picture below problem 19
Answer:
9
Step-by-step explanation:
Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so, 9 (by the power 1) is 9
Only 16 tho!!!!!please
Answer:
(5*2) + (1/2)(2+2+2)*4)
Step-by-step explanation:
Area of Triangle = (1/2)(2 + 2 + 2 )* 4)
Area of Rectangle = 5 * 2
Total Area = (5*2) + (1/2)(2+2+2)*4)
In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.
Answer:
7.89 births per minute
Step-by-step explanation:
525600 minutes in a year
4,148,000 divided by 525600 =
7.89193302892
Which statement is true about every exterior angle of any quadrilateral inscribed in a circle?
The measure of an exterior angle is equal to the measure of the nonadjacent interior angle.
The measure of an exterior angle is equal to the measure of an adjacent interior angle.
The measure of an exterior angle is equal to the average of the measures of the two adjacent interior angles.
The measure of an exterior angle is equal to the difference of the measures of the two adjacent interior angles.
Answer:
A
Step-by-step explanation:
In an inscribed quadrilateral, opposite angles are supplementary.
An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.
Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.
Answer: A
what's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4
Answer: B
Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375
Answer:
b.
Step-by-step explanation:
first, you would you would find a common denominator between 3/8 and you will get 6/16. last, you would add 1/16 + 6/16 for your answer of 7/16
A video has 25 thumbs up. What integer represents its score in points?
Answer:
25 points
Hope this helps!
find the missing coordinates y+7x=1
(-1, )
(4, )
Answer:
(-1,8)
(4,-27)
Step-by-step explanation:
y+7x=1
Let x = -1 and find y
y+7(-1)=1
y -7 =1
Add 7 to each side
y-7+7 = 1+7
y = 8
(-1,8)
Let x = 4 and find y
y+7(4)=1
y +28 =1
Subtract 28 from each side
y+28-28 = 1-28
y = -27
(4,-27)
The numbers represented by points w, x and y on the number line are integers.
Under which of the following conditions could the expression, x > 2, be true? Select all that apply.
Answer:
Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
Step-by-step explanation:
https://brainly.com/question/14500266