Answer: $456
Step-by-step explanation:
$504/42 hr = 12 per hour
4 hours = $48
$504 - $48 =
= $456
Answer:
He earned $456
Step-by-step explanation:
504/42=12
42-4=38
38*12=456
Good Luck!!!!
The complex numbers z1 and z2 are graphed. Which point represents z1 + z2?
A
B
C
D
Answer:
A
Step-by-step explanation:
edge
[tex]Z_{1} +Z_{2}[/tex] represents Point A i.e., 3i.
What are complex numbers?Complex numbers are the numbers that are expressed in the form of
a + ib where, a, b are real numbers and ‘i’ is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
Given
The complex numbers z1 and z2 are graphed.
From the graph,
[tex]Z_{1} =3+i[/tex]
[tex]Z_{2} =-3+2i[/tex]
[tex]Z_{1} +Z_{2}= 3+i+(-3+2i)[/tex]
[tex]Z_{1} +Z_{2}= 3-3+i+2i[/tex]
[tex]Z_{1} +Z_{2}= 3i[/tex]
Option A is correct.
[tex]Z_{1} +Z_{2}[/tex] represent Point A i.e., 3i.
Find out more information about complex numbers here
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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 :/
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
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
The prime factorization of a number is 2 with a small 3 at the top x9 explain why this is correct or incorrect?
The Action Copy Company offers to lease a copy machine for a fixed weekly fee of $10.00 and an additional charge of $.07 for each copy. Fast Print Company offers a fixed charge of $25.00 a week with an additional charge of $.02 for each copy. Is there a certain number of copies where the two companies charge the same amount? If so, how many copies are made and what is the charge?
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. :)
You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.
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:
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Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5
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
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.
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
PLEASE HELP FAST! I will give brainlist!
Answer:
D or A
Step-by-step explanation:
Answer:
960
Step-by-step explanation:
TRUST ME, mark me brainliest please
what is the slope of (1,-3) and (-5,-4)
Answer:
slope is 1/6
Step-by-step explanation:
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.
16. Patrick turned out for the track team and lost 5.62 kilograms during the season. After the season
finished, he gained back 1.4 kilograms.
a. One of the decimals should be written as negative number. Which one is it and why?
b. Find the sum of the two numbers to determine the total change in Patrick's weight
Answer:
A: the 5.62 kilograms should be negative, since he is losing weight.
B: -5.62 + 1.4 is -4.22, which is how many kilograms Patrick lost in total.
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.
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
Can somebody help me
Answer:
with?
Step-by-step explanation:
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
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:
What is the answer for this plz??? I will mark brainliest!!!
Answer: 59 1/2
Step-by-step explanation:
Answer:
The new elevation is -92 [tex]\frac{1}{8}[/tex] ft.
Step-by-step explanation:
-75 [tex]\frac{3}{4}[/tex] = -75[tex]\frac{6}{8}[/tex]
-75 [tex]\frac{6}{8}[/tex] + -16 [tex]\frac{3}{8}[/tex] = -91 [tex]\frac{9}{8}[/tex] = 92 [tex]\frac{1}{8}[/tex]
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
Help me please *an image is attached*
Answer:
4
Step-by-step explanation:
Function of the graph shown: y=3x+4