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:
What is the interval used in the frequency chart shown below?
A.4
took the test
╰(*°▽°*)╯(☞ﾟヮﾟ)☞
Answer:
the answer is a i got a hundred on that tes a year ago
Step-by-step explanation:
Convert 75 kilograms to pounds.
pounds
Answer:
165.34 pounds OR 165 lb
Step-by-step explanation:
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.
1. How many real solutions does the quadratic equation x?+9x= -8 have?
Answer:
This quadratic equation has 2 solutions.
Step-by-step explanation:
I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.
We can solve this equation by expressing it in the form: ax² + bx + c
x² + 9x= -8
x² + 9x + 8 = 0
Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.
In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.
x² + 9x + 8 = 0
(x + 8)(x + 1) = 0
For this equation to be true (= 0), x can equal -8 OR -1.
Hence, this quadratic equation has 2 solutions.
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
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
Help me please *an image is attached*
Answer:
4
Step-by-step explanation:
Function of the graph shown: y=3x+4
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
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]
What equation does this map show?
Answer:
Oh, it's y=3x-4.
Because it's slope is 3 and it crosses through -4 on the y axis, we know that that would be the equation.
Good luck with the assignment man, let me know of anymore questions. :)
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
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.
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
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.
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
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 :)
In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches. What will be the radius of the container, to the nearest tenth of an inch? volume being 258.75 cubic inches
Answer:
21.5625
Step-by-step explanation:
So You would divide 258.75 / 12 = 26.5625
The radius of container is 2.6 inch.
What is volume?The amount of space occupied by a three dimensional figure as measured in cubic units.
Formula for the volume of cylinder[tex]volume of cylinder= \pi r^{2} h[/tex]
where,
r is the radius
h is the height
According to the given question
shape of the container is cylindrical.
Height of the container, h = 12 inches
Volume of container = 258.75 cubic inches
for the radius of the container
volume of container = [tex]\pi r^{2}h[/tex]
258.75 = 3.14×[tex]r^{2}[/tex]×12
258.75 =37.68×[tex]r^{2}[/tex]
[tex]\frac{258.75}{37.68} =r^{2}[/tex]
[tex]6.9=r^{2}[/tex]
⇒ [tex]r = \sqrt{6.9} =2.62inch[/tex] = 2.6 inch
Hence, the radius of container is 2.6 inch.
Learn more about the volume of cylinder here:
https://brainly.com/question/16134180
#SPJ2
The prime factorization of a number is 2 with a small 3 at the top x9 explain why this is correct or incorrect?
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
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 :/
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
PLEASE I WILL GIVE YOU POINTS!
Answer:
None
Step-by-step explanation:
y=(2x)^(1/3)-7 wrong
y= -2(3x)^(1/6) wrong
y=-x^(1/2)+5 wrong
y=(x+2)^(1/4) wrong
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
#SPJ1
To the nearest millimeter, a cell phone is 120 mm long and 51 mm wide. What is the ratio of the width to the length?
Answer:
51:120
Step-by-step explanation:
since 120 is length in mm, it is the y value
since 50 is width in mm it is the x value
51mm:120mm
What is the volume and surface area of a cylinder whose height is 10 cm and the radius is 6 cm.
Answer:
V≈1130.97cm³
Step-by-step explanation:
crown n add me plzz
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 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