Answer:
TRUE
Step-by-step explanation:
EXAMPLE : 3×5=15
27×5= 135
Answer:
Truefo example: 3•3 = 9 (=2•4+1) 5•7 = 35 (=2•17+1) 11•13 = 143 (=2•71+1)Step-by-step explanation:
If k is any integer then 2k is even number and 2k+1 is odd number
If n is any other integer then 2n+1 is also some odd number
Their product:
(2k + 1)(2n + 1) = 2k•2n + 2•1k + 1•2n + 1•1 = 2(2kn + k + n) + 1
k,n are integers so 2kn also is integer.
Sum of integers is integer too, so if we name 2kn+k+n = z, then product of any two odd integers is 2z+1 which is an odd number.
The volume, in cubic feet, of a right cylindrical silo of height h and radius r is V = πr2h. The height of the silo is h(r) = 3.5r. Which statements are true regarding the functions described? Check all that apply. To get a volume of 100 cubic feet, the radius must be 2 feet. The domain of V(h(r)) is restricted to values of r greater than 0. The output of V is the input of h. V(h(r)) = 3.5πr3 The volume depends on the radius of the cylinder.
Volume of a cylindrical silo is given by,
[tex]V=\pi r^{2}h[/tex]
Here, [tex]V=[/tex] Volume of the silo
[tex]r=[/tex] Radius of the cylindrical silo
[tex]h=[/tex] Hight of the silo
And height of the silo is defined by the function,
[tex]h(r)=3.5r[/tex]
Option (1)
To get the volume of [tex]100[/tex] cubic feet, radius must be [tex]2[/tex] feet.
Height of the silo can be derived from the function,
[tex]h(2)=3.5(2)[/tex]
[tex]=7[/tex] feet
Therefore, volume of the silo = [tex]\pi r^{2} h[/tex]
= [tex]\pi (2)^2(7)[/tex]
= [tex]28\pi[/tex]
= [tex]87.96[/tex] feet³
Since, [tex]87.96<100[/tex] cubic feet
Statement is false.
Option (2)
Since, [tex]V=\pi r^{2} h[/tex]
And [tex]h(r)=3.5r[/tex]
Therefore, [tex]V[h(r)]=\pi r^{2}(3.5r)[/tex]
[tex]V[h(r)]=3.5\pi r^{3}[/tex]
Domain of the function 'V' will be [tex]r>0[/tex].
Statement is true.
Option (3)
Output of V is the input of h.
From the function,
[tex]V[h(r)]=3.5\pi r^{3}[/tex]
Volume (output value) of the silo depends on the output value of [tex]h(r)[/tex].
Therefore, statement is false.
Option (4)
[tex]V[h(r)]=3.5\pi r^{3}[/tex]
Volume depends on the radius of the cylinder.
Since, output value of the volume depends on the radius.
Statement is true.
Options (2) and (4) are true.
Learn more,
https://brainly.com/question/2848291
Answer:
bde
Step-by-step explanation:
If f(x)= x2 + 2x - 6 and g(x)= 3x2 - 5x - 7, find f(x)-g(x
Answer:
- 2x² + 7x + 1
Step-by-step explanation:
f(x) - g(x)
= x² + 2x - 6 - (3x² - 5x - 7) ← distribute parenthesis by - 1
= x² + 2x - 6 - 3x² + 5x + 7 ← collect like terms
= - 2x² + 7x + 1
Plz help me I will give brainlest!!!
The temperature in Toronto, Canada, dropped over three hours from 0 °F to -33 °F. If the temperature dropped the same amount each hour, how
much did the temperature change each hour?
Answer:
The temp. dropped 11 degrees each hour.
Step-by-step explanation:
33 divided by 3 is 11
Use complete sentences to describe why Set A={ XIX is an even whole number between 0 and 2) = ø
Answer:
True
Step-by-step explanation:
Set A contains an element x such that x is an even whole number between 0 and 2 is empty because there is only one whole number between 0 and 2 and that is 1. But 1 is not an even number. There is no even whole number between 0 and 2 therefore Set A = phi
An even number must be divisible by 2 but 1 is not divisible by 2. It is not an even number.
A whole number does not have fractions or decimal part. There is only one whole number between zero and two that is 1 which is not even.
Thus the given statement is true.
Given the diagram below, what is cos(45°)?
Answer:
Answer is D
Hope this helps you
Mark me as brainliast
As we can see, this is a 45 45 90 triangle
The legs of the triangle are equal and the hypotenuse = leg * sqrt(2)
In this case,
The hypotenuse = 6 * sqrt(2)
Cos(45) = 6 / (6 * sqrt(2))
The 6's cancel each other out and you're left with:
1 / sqrt(2)
Hellllllllllpppppp! please???
Answer: x < [tex]\frac{54}{11}[/tex]
Step-by-step explanation:
5 - [tex]\frac{2x}{3} > \frac{1}{2} + \frac{x}{4}[/tex] Start by multiply both sides by 3
3(5 - [tex]\frac{2x}{3}[/tex]) > 3(1/2 + x/4)
15 - 2x > 3/2 + 3x/4 Now multiply both sides by
4(15-2x ) > 4(3/2 + 3x/4)
60 - 8x > 6 + 3x Now add 8x to both sides
+8x +8x
60 > 6 + 11x Subtract 6 from both sides
-6 -6
54 > 11x Divide both sides 11
54/11 > x
x < 54/11
A concession stand charges $6 for popcorn and $8 for a hotdog. They made $100 in one night and sold 10 bags of popcorn. How many hotdogs did they sell?
Answer:
They sold 5 hotdogs.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
10 bags of popcorn would equal 60 dollars. That would leave 40 dollars. So 40 divided by 8 is 5
-2(7-y)+4=-4 What is Y?
Answer:
Y=3
Step-by-step explanation:
You first distribute the -2
-14+2y+4=-4
Then you add the 4 and -14
2y-10=-4
Then you move the Y to one side by adding 10 to both sides
2y=6
Divide both sides by 2 to solve for Y
y=6/2
Simplify
y=3
For each set of measurements, decide whether or not it is possible to draw a triangle with these measurements. Side lengths: 2 cm, 3 cm, and 6 cm.Please hurry!
Answer:
It is not possible to make a triangle with these dimensions. Hope this helps!
Step-by-step explanation:
She pays with a $100 bill. How much
Lonnie buys a sweater for $58.92.
change should she receive?
Answer:
$41.08
Step-by-step explanation:
Simply subtract 58.92 from 100
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
0 4 1. 0 8
Step by Step:
Working each column from right to left
1 0 0. 0 0
− 0 5 8. 9 2
.
2 is greater than 0 so you must regroup:
Take 1 from 1, so 1 becomes 0.
Add 10 to 0, so 0 becomes 10.
0 10
1 0 0. 0 0
− 0 5 8. 9 2
.
Take 1 from 10, so 10 becomes 9.
Add 10 to 0, so 0 becomes 10.
9
0 10 10
1 0 0. 0 0
− 0 5 8. 9 2
.
Take 1 from 10, so 10 becomes 9.
Add 10 to 0, so 0 becomes 10.
9 9
0 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
.
Take 1 from 10, so 10 becomes 9.
Add 10 to 0, so 0 becomes 10.
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
.
10 minus 2 is 8
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
. 8
9 minus 9 is 0
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
. 0 8
9 minus 8 is 1
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
1. 0 8
9 minus 5 is 4
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
4 1. 0 8
0 minus 0 is 0
9 9 9
0 10 10 10 10
1 0 0. 0 0
− 0 5 8. 9 2
0 4 1. 0 8
Hope this helps! Plz award Brainliest : )
Answer:
$41.08
Step-by-step explanation:
100-58.92=41.08
What is mAnglePHJ?
100°
120°
140°
160°
Answer:
It's B: 120
EDGE 2020/2021
Step-by-step explanation:
Like the guy in the comments said, 140 - 20 = 120
It also makes sense because the whole thing would equal 360, and if you add 140, 20 and 120 together you get 80. As you can see by the angles, there are 2 more sections other than PHJ that we do not know that look equal size. 80 in half is 40, and both sides left look about two times larger than PKH which is the angle with the 20. In conclusion PHJ is 120.
in this cases all angles have to add up to 360, so that's how I know it's 120 by adding up and seeing if this could make up the 360 degrees.
Answer:
B : 120
Step-by-step explanation: Just did the test edge 22 so person above me is correct.
the volume of a cylindrical tank is 936cubic meter. if its height is 6 meter determine the base area of the tank
Answer:
156 square m
Step-by-step explanation:
[tex]volume \: of \: cylindrical \: tank \\ = area \: of \: base \times height \\ \\ 936 = area \: of \: base \times \: 6 \\ \\ area \: of \: base = \frac{936}{6} \\ \\ area \: of \: base = 156 \: {m}^{2} [/tex]
Please tell my if I am right. Thanks :)
Answer:
Yes
Step-by-step explanation:
The slope is -2 if you plug it into the formula and the y-intercept is clearly 3.
Which numbers are solutions to the inequality
-3x-3 <6Check all of the boxes that apply.
-5
-4
0
2
4
Answer:
0,2,4
Step-by-step explanation:
Divide 9 divided by 6,158
Answer:
684.222222222
Step-by-step explanation:
Answer:
684.222222222222
Step-by-step explanation:
8x+5=29;3
can someone pls explain :)
Answer:
Step-by-step explanation:
8x+5=29, x=3
subtract 5 on each side
8x=24
then divide by 8 on both sides to isolate x
x=3
The ratio of desktop computers to laptop computers at a company is 2 to 9. If there were 108 laptop computers, how many computers will there be in all at the company?
Answer:
24 desktop computers
Step-by-step explanation:
Ratio is 2 to 9
so 2/9=?/108
first divide 108 by 9
That gives us 12
Multiply 2 by 12
24.
24 desktop computers
The required number of desktop computers is given as 24.
The ratio of desktop computers to laptop computers at a company is 2 to 9. If there were 108 laptop computers,
To determine the computers will there be in all at the company.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the number of the computer be x,
According to the question,
x : 108 = 2 / 9
x / 108 = 2/9
x = 2/9 × 108
x = 2 × 12
x = 24
Thus, the required number of desktop computers is given as 24.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ5
Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be?
add 3x
add x
subtract 6
Answer:
add x
Step-by-step explanation:
in your opinion ,do you think mom was right in making Demarcus study before playing, or was Demarcus right to play and then study?
Answer: Mom was right in making Demarcus study before playing.
Step-by-step explanation:
Container A and container B have leaks.
Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represent the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water? Write and solve an equation to show your work.
Answer:
50m ..........................................................................................
Please Help!! i can’t fail this!!
Melissa orders 4 books for $5.95 each. The total shipping cost on her order is $3.50.
How can Melissa find the total cost of her order and the shipping?
A. Add $5.95 and $3.50. Then, multiply the sum by 4.
B. Multiply $3.50 by 4. Then, add the product to $5.95.
C. Multiply $5.95 by 4. Then, add the product to $3.50.
D. Multiply $5.95 by 4. Then, multiply the product by $3.50.
Answer:
C: Multiply $5.95 by 4. Then, add the product to $3.50.
Answer:c
Step-by-step explanation:
PLEASE HELP ME!!! i’m so confused
what is the step by step solution to −2(1 − 4x) = 3x + 8
[tex]\text {To solve this problem here's what you do}[/tex]
[tex]\text {Simplify the equation:}[/tex]
[tex]\text {(-2)(1)+(-2)(-4x)=3x+8 (Distribute)}[/tex]
[tex]\text {-2+8x=3x+8}[/tex]
[tex]\text {8x-2=3x+8}[/tex]
[tex]\text {Now you will want to Subtract 3x:}[/tex]
[tex]\text {8x-2-3x=3x+8-3x}[/tex]
[tex]\text {5x-2=8}[/tex]
[tex]\text {Next Step is to Add 2:}[/tex]
[tex]\text {5x-2+2=8+2}[/tex]
[tex]\text {5x=10}[/tex]
[tex]\text {Final Step is to Divide 5:}[/tex]
[tex]\text {5x/5=10/5}[/tex]
[tex]\text {Your answer will be:}[/tex]
[tex]\framebox {x=2}[/tex]
[tex]\text {Hope this helps!}[/tex]
[tex]\text {-LimitedX}[/tex]
-3 (1/-3)=1
What property is this?^
what’s the ratio of $60 in 4 hours
Answer:
The answer is 60:4
move polygon ABCD to a location of your choice on the coordinate plane and change the orientation of EF. be sure that the preimage ABCD does not overlap the image AEFBEFCEFDEF when you’re through. next find the perpendicular distance between each vertex of ABCD and EF. enter the values in the table. do the same for the perpendicular distance between each vertex of the reflected shape AEFBEFCEFDEF and EF. record all your answers in decimal place
Answer:
Step-by-step explanation:
what is the function of f(2)=4
Answer:
f*2=2*4=8
Step-by-step explanation:
What is the missing number in each circle?
2:3:5 = ○ : 9 : ○
6 : 9 : 15
Step-by-step explanation:
[tex]2 : 3 : 5 = 2 \times 3 : 3 \times 3 : 5 \times 3 \\ \huge 2 : 3 : 5 = \red{\boxed{6}} :9 : \purple{ \boxed{15}}[/tex]
Evaluate $4a$ when $a=7$
Answer: 4*7=28
Step-by-step explanation: a is 7
