1. (07.02)
What is the value of x in the equation 2x + 9 = 21?
2
6
9
15
Step-by-step explanation:
the correct answer is 6
Answer:
6
Step-by-step explanation:
Step 1:
2x + 9 = 21 Equation
Step 2:
2x = 12 Subtract 9 on both sides
Step 3:
x = 12 ÷ 2 Divide
Answer:
x = 6
Hope This Helps :)
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
[tex]V=\dfrac{1}{3}\pi (6)^2(9)[/tex]
[tex]V=\pi (36)(3)[/tex]
[tex]V=108\pi[/tex]
Therefore, the volume of the figure is [tex]108\pi[/tex] sq. units.
Find the quotient. Round to the nearest hundredth. 1,498 divided by 30
Answer:
Step-by-step explanation:
Math answers to fraction 1498 divided by 30 can be calculated as follows.
1498/30 math problems division = 49.9333333333. Therefore 49.9333333333 to 2 decimal places= 49.93
1498/30 divided by 2 » (1498/30) ÷ 2 » 49.9333333333 ÷ 2 = 24.9666666667
Help me please *an image is attached*
Answer:
4
Step-by-step explanation:
Function of the graph shown: y=3x+4
Find the angle measure “X”. Round to the nearest
hundredth.
X
15
1
Answer:
if you want 400 points i suggest yu let this one fly
Step-by-step explanation:
Solve for x
7x^2=1008
Answer:
x = {-12, 12}
Step-by-step explanation:
You have a multiple choice test of 25 questions with 4 choices for each question. You choose each answer at random and get 4 answers correct. What is the probability of that happening? Round to the nearest hundredth
Answer:
Wth.. Okay. The probablility is probably low, seeing as there is 25 questions. So I guess like .2? Not sure.
What is the unit price of 12 gallons of gasoline that costs $39.48 ?
The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
How to determine the unit price?The given parameters are:
Gallons = 12
Cost = $39.48
The unit price is calculated as:
Unit = Cost/Gallon
So, we have:
Unit = $39.48/12
Divide
Unit = $3.29
Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
Read more about unit rates at:
https://brainly.com/question/19493296
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Convert 75 kilograms to pounds.
pounds
Answer:
165.34 pounds OR 165 lb
Step-by-step explanation:
What is best estimate mass of a base ball. A-15kilograms B-150grams. C-150kilograms D-15grams
Answer:
B if not sorry
Step-by-step explanation:
Can somebody help me
Answer:
with?
Step-by-step explanation:
Evaluate the double integral.
∫∫8y2dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)
Answer:
[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]
Step-by-step explanation:
The equation of the line through the point [tex](x_o,y_o)[/tex] & [tex](x_1,y_1)[/tex] can be represented by:
[tex]y-y_o = m(x - x_o)[/tex]
Making m the subject;
[tex]m = \dfrac{y_1 - y_0}{x_1-x_0}[/tex]
∴
we need to carry out the equation of the line through (0,1) and (1,2)
i.e
y - 1 = m(x - 0)
y - 1 = mx
where;
[tex]m= \dfrac{2-1}{1-0}[/tex]
m = 1
Thus;
y - 1 = (1)x
y - 1 = x ---- (1)
The equation of the line through (1,2) & (4,1) is:
y -2 = m (x - 1)
where;
[tex]m = \dfrac{1-2}{4-1}[/tex]
[tex]m = \dfrac{-1}{3}[/tex]
∴
[tex]y-2 = -\dfrac{1}{3}(x-1)[/tex]
-3(y-2) = x - 1
-3y + 6 = x - 1
x = -3y + 7
Thus: for equation of two lines
x = y - 1
x = -3y + 7
i.e.
y - 1 = -3y + 7
y + 3y = 1 + 7
4y = 8
y = 2
Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7
∴
[tex]\iint_D 8y^2 \ dA = \int^2_1 \int ^{-3y+7}_{y-1} \ 8y^2 \ dxdy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \int ^{-3y+7}_{y-1} \ y^2 \ dxdy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( \int^{-3y+7}_{y-1} \ dx \bigg) dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [xy^2]^{-3y+7}_{y-1} \bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [y^2(-3y+7-y+1)]\bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ([y^2(-4y+8)] \bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( -4y^3+8y^2 \bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [\dfrac{ -4y^4}{4}+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -y^4+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -2^4+\dfrac{8(2)^3}{3} + 1^4- \dfrac{8\times (1)^3}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -16+\dfrac{64}{3} + 1- \dfrac{8}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{64-8}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{56}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{-45+56}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{11}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]
QUESTION 10 of 10: You have a need to purchase 30 units of a product and have them delivered to your company in five days. The sale price is $35 each. Sales tax on the product is 8%. Shipping price is $15. But there is also a 25% rush charge on the sales price added for deliveries less than seven days, which is also taxable. What will be the total cost of this purchase? O a) $1,050.00 b) $1,327.50 Oc) $1,396.50 O d) $1,432.50
Answer: d) $1,432.50
Step-by-step explanation:
Sales price = $35
25% rush charge = 35 * 25% = $8.75
Rush charge is taxable = (35 + 8.75) * 8% = $3.5
Total purchase price per unit = 35 + 8.75 + 3.5 = $47.25
Total cost = Total Purchase + Shipping
= (47.25 * 30) + 15
= $1,432.50
What is the slope of the line that passes through the points (4, 2) and (−16,−10)? Write your answer in simplest form
Step-by-step explanation:
slope = y2 - y1
__________
x2 - x1
slope = (-10 -2) / (-16 - 4)
slope = -12/-20
slope = 3/5
The x-intercept for the line 2x + 3y = 18 is (x, 0). What is the value of x?
Answer:
The answer is nine :)
Step-by-step explanation:
HELP PLEASEEEE I GIVE BRAINLIest
Answer:
I believe it is the first answer
Step-by-step explanation:
-50 because it is being translated down 50, and the sloped are equal
I need help with this
Answer:
0,0.36,0.9,1.09,1.2,2
Step-by-step explanation:
The y-intercept for the line 2x + 3y = 18 is (0, y). What is the value of y
Answer:
6
Step-by-step explanation:
2x + 3y = 18 can be simplified into an y = mx + b equation, where b is the y intercept.
First, subtract 2x from both sides to get 3y alone.
3y = 18 - 2x
Then, divide both side by 3 to get y completely alone.
y = 6 - 2x
Rearrange the equation to be in the form of y = mx + b;
y = -2/3x + 6
6 is our Y intercept.
You can also use a graphing calculator if you want to check your answer, desmos is a great graphing calculator you can use.
Answer:
6
Step-by-step explanation:
Y=mx+c
C is y intercept
2x+3y=18
3y=18-2x
Y=(-2x+18)/3
Y=-2/3x+6
John travels 54 miles each day of his 5 day journey to Disney land. What is the distance from John’s house to Disney land? PLZZ
Each day Louders reads 30 pages
Answer:
woww
Step-by-step explanation:
Jason had a 15 foot long bed his sister had a 3 foot longer bed then Jason, How long is his sisters bed?
Answer:
18
Step-by-step explanation:
basic math :/
help me with the question I appreciate it much.
it can't be seen properly
help neededdd.......
Answer:
1. -5a
Step-by-step explanation:
The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.
So for this one, -21a+16a = (-21+16)a = -5a.
Help me pleaseeeeeeeeeeeeeee
Answer:
the second one
Step-by-step explanation:
Answer:
2nd
Step-by-step explanation:
The 2nd one is the correct one because it is true and that is the best way to get your solution.
Hope this helps:)
Pls mark brainly
Your mother gave you $20 with which to buy a present. This covered 2/3 of the cost. How much did the present cost?
Answer:
$30
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
20 divided by (2/3) is 30.
The prime factorization of a number is 2 with a small 3 at the top x9 explain why this is correct or incorrect?
d=.5*a*t^2 solve for a
Step-by-step explanation:
Area = base * height
Area = (10 s) * (5 m/s)
Area = 50 m Area = 0.5 * base * height
Area = 0.5 * (5 s) * (10 m/s)
Area = 25 m
Workout the median 6266 6626 6622 6226 6662 6222 7466
Answer:
Step-by-step explanation:
the median would be 2,2 just the middle number/numbers if it has 1 # thats the median if it has 2 thats still the median
7 numbers middle is 6226
it took jake 28 minutes to run 5km last months. this month he ran 5km in 21 minutes. by what percentage had jake improve his running time?
Answer:
25%
Step-by-step explanation:
28-21=7
7/28=×/100
7×100=700
700÷28=25
Answer:
7
Step-by-step explanation:
Okay so, 28-21 =07 right
7 as a percent is 700% and the limit is 100%
so 700%/100%= 7
There are 32 Drama DVD's. The ratio of Drama DVD's to Mystery DVD's is
8:5. How many Mystery DVD's are there?
Answer:
20 Mystery DVD’s
Step-by-step explanation:
32/8=4
4*5=20
Answer:
There are 20 Mystery DVD's.
Step-by-step explanation:
Since the ratio of Drama to Mystery is 8:5, then we can conclude that 32:x is another equivalent form of the ratio, given that 32 represents drama, and x represents the unknown number of mystery.
Set up the ratios as 8/5 as one fraction, and 32/x as another, but make them equal each other. Cross multiply the numerators and denominators, then you will get 8x=160
divide both sides to solve for x.
x=20