Answer:
y = 1/2x - 14
Step-by-step explanation:
Parallel lines have the same gradient
So,
gradient for second line = gradient of the first line = 1/2
Also,
the line passes through (-6,-17)
So, we can find the y-intercept by substitution
y = mx + c
-17 = (1/2 * -6) + c
-17 = -3 + c
c = -14
So,
the equation is y = 1/2x - 14
A company has designed its new packaging for products to be shaped liked the prism shown. If the cost of packaging is $0.03 per square inch, find the total cost of the package shown. (10 inches horizontally, 4 inches vertically, and 4 inches on the side)
Answer:
$5.76
Step-by-step explanation:
We solve using the formula of the area of a rectangular prism
A = 2(LW + LH + WH)
The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side
=2 × (4 × 10 + 4 × 10 + 4 ×4)
=192 square inches
If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:
1 square inch = $0.03
192 square inches = x
Cross Multiply
= 192 × $0.03
= $5.76
if a/4=2/3, then (a-4)/4 would equal
a. -2/3
b. -1/3
c. 0
d. 1/3
Answer:
b. -1/3
Step-by-step explanation:
a/4=2/3
a=8/3
(a-4)/4
(8-12)/12
=-4/12
=-1/3
Answer:
-1/3
Step-by-step explanation:
a/4=2/3
Multiply each side by 4
a/4 *4=2/3 *4
a = 8/3
(a-4)/4
(8/3 - 4) /4
Getting a common denominator
(8/4 - 12/3) /4
(-4/3)/4
-1/3
Holly cuts 2 ribbons into tenths for a craft project how many 1/10 size ribbons does she have
Answer:
Holly would have 20 1/10 sized ribbons.
Step-by-step explanation:
One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.
simpifly this expression, i only need answer b :)
Answer:
1) x³y²
2) 6x²y³
Step-by-step explanation:
hope it helps...
Find the volume of the cube, if one face of the cube has an area of
121 sq.m.
Answer:
1331 m^2
Step-by-step explanation:
To find the volume of the cube, we should first find the length of one side's edge. The square root of 121 (the face area) gives us our edge length, 11.
Now, to find the volume of the whole cube, we use the equation V=11^3, and our result is 1331.
The bars of a histogram should be shown in increasing order. true or false
Answer:
false it can be in any order but must be according to the set of data
f(x) = 2x-1
What kind of shift is represented?
Hi there!
»»————- ★ ————-««
I believe your answer is:
A vertical shift down one unit.
»»————- ★ ————-««
Here’s why:
A chart showing the rules of function transformations are shown. The equation shown is the parent function of '2x' that is shifted 1 unit down. If the number was inside the x [like (x - 1)] it would be a horizontal transformation. Since it's outside we would consider it to be a vertical shift.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what is the equation, in point-slope form, of the ljne that is perpendicular to the given line and passes through the point (-4,-3)?
Answer:y+3=1/4(x+4)
Step-by-step explanation:
First find the slope of the line with the points -1,1 and 0,-3
1-(-3)/-1-0 = -4
perpendicular is negative reciprocal which is 1/4
now we have the slope, and a point so we can put it in point slope form
y+3=1/4(x+4)
point slope form is y-y1 = m(x-x1)
with x1,y1 being the point and m being the slope
Find the length of the arc
Answer:
33 ft
Step-by-step explanation:
C = 2 r [tex]\pi[/tex]
The length of the arc is [tex]\frac{18\pi }{360}[/tex] × 210 ≈ [tex]\frac{18*22*210}{360*7}[/tex] = 33 ft .
Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Answer:
The volume of the cylinder is 942 cubic kilometer.
Step-by-step explanation:
Height of the cylinder, h = 12 km
radius of the cylinder, r = 5 km
The volume of cylinder is given by
[tex]V=\pi r^2h\\\\V = 3.14\times 5\times 5\times 12\\\\V =942 km^3[/tex]
Please help. I am very confused about this problem.
jzgsgßiqhwgwgah I don't know
Answers:
number of sides = 15regular polygon name = regular 15-gon=======================================================
Explanation:
If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.
Divide 360 over this to find that 360/24 = 15
This means the regular polygon has 15 sides.
I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.
Someone help please, I’ll mark brainliest (look at the image) (50 points)
Answer:
S=54fr^2 T=81ft^2 U= 54 ft^2 V= 54 ft^2 W= 54 ft^2 X= 81 ft^2
Step-by-step explanation:
You got it correct, dont stress!
move numbers to the lines to complete the sentence about the image A’B’C’D .
line segment A’B has the length of (blank) units , the line segment C’D’ has a length of (blank) units
2. 3. 4. 5. 6. 8.
Answer:
first blank- 2 second blank- 3 1/2 or 4 may be 3 too
Step-by-step explanation:
well when you look at the shape you can go from a to b and count the blocks which it would be 2
and you would want to do the same thing with C,D
Part A: Estindlate the solution from the graph. -
Part B: What is the equation of each line in the system? blue line: _ and red line:
Answer:
Part A
The estimated solution of the graph is (37/29, -30/29)
Part B
The equation of the blue line is y = 0.6·x - 1.8
The equation of the red line is y = (-4/3)·x + 2/3
Step-by-step explanation:
Part A
From the given graph, we have two lines, one red and one blue line, intersecting in Quadrant IV
Given that the equation of the lines are also required, we find the solution of the graph, through the equation of the lines as follows;
The points through which the blue line passes are (-2, -3), and (3, 0)
The slope of the blue line, [tex]m_b[/tex] = (0 - (-3))/(3 - (-2)) = 0.6
Therefore, we have;
y - 0 = 0.6·(x - 3)
∴ The equation of the blue line is y = 0.6·x - 1.8
The approximate points through which the red line passes are (-1, 2) and (-2.5, 4)
The slope of the red line, [tex]m_r[/tex] = (4 - 2)/((-2.5) - (-1)) = -4/3
Therefore, we have;
y - 2 = (-4/3)·(x - (-1)) = (-4/3)·x - 4/3
∴ The equation of the red line is y = (-4/3)·x - 4/3 + 2 = (-4/3)·x + 2/3
y = (-4/3)·x + 2/3
The solution for the graph is the point where the y-values are equal
Therefore, wat the solution point, y = y, and 0.6·x - 1.8 = (-4/3)·x + 2/3
0.6·x + 4/3·x = 1.8 + 2/3
x = (1.8 + 2/3)/(0.6 + (4/3)) = 37/29 ≈ 1.28
At the solution of the graph, y = 0.6 × (37/29) - 1.8 = -30/29
Therefore, the estimated solution of the graph is (37/29, -30/29)
Part B
From the above solution of the graph, we have;
The equation of the blue line: y = 0.6·x - 1.8
The equation of the red line: y = (-4/3)·x + 2/3
PLEASE HELP QUICKLY!!! Use the following image to answer the questions below:
how do you translate "six more than x is equal to four." as a equation.
Answer:
6>x=4
hope that helps!
please mark brainiest<3
given h (x)=5x-3 find the value of h(-4)
Answer:
h(- 4) = - 23
Step-by-step explanation:
To evaluate h(- 4) substitute x = - 4 into h(x) , that is
h(- 4) = 5(- 4) - 3 = - 20 - 3 = - 23
h (-3) = 57
why does it keep saying to explain dis.... dont answer that
Stuck on this one. I can’t remember the process to get the answer
find -15(-8)
A. 120
B. 80
C. -23
D. -120
Answer:
A
Step-by-step explanation:
-15(-8)
=+(15*8)
=120
So, the ans is A
Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?
Answer:
V = 400 ft^3
Step-by-step explanation:
The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.
Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft) = 400 ft^3
Please help fast!! What is the range of the scores shown in the stem and leaf plot
95
40
58
37
Answer:
37
Step-by-step explanation:
Highest take the lowest
95-58=37
Match the solution set given in inequality notation with the solution set given in interval motion x > 7.8
Answer:
(7.8, ∞)
Step-by-step explanation:
Given the inequality :
x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8
The interval for which the inequality holds true is :
x > 7. 8 - - - > (7.8, ∞)
Find the area of the equilateral triangle when the base is 2.0 cm and the top angle is 50°
Answer:
There is an error in the question.
All angles in an equilateral triange are 60º
Approximately how long will it take $200 to double to $400 when the annual interest rate is 8 1/2?
Answer:
200/17 years
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100i
Enter the value of x so that the expression (1.8a−5.7)+(xa+3.2) is equivalent to −1.6a+2.5.
Answer:
Step-by-step explanation:
ax+1.8a−2.5
A pencil case with a cylinder shape with diameter= 10 cm
and height = 12 cm .
What is the length of the longest pencil that can fit in the pencil case?
Answer:
length of the longest pencil that can fit must be less than 13cm
Step-by-step explanation:
To get the longest pencil that fit the case, we will use the pythagoras theorem;
diameter = 10cm
radius = 10/2
radius = 5cm
Height = 12cm
Get the length of the longest side
l² = r²+h²
l² = 5²+12²
l² = 25 + 144
l² = 169
l = √169
l = 13cm
Hence the length of the longest pencil that can fit must be less than 13cm
List the intercepts and test
for symmetry
y = x² - 2x-8
Answer:
heloooooooooooooooooooooio
Step-by-step explanation:
oooooooooo oooooooooo oooooooooo
who understands this sum?
Answer:
$31728
Step-by-step explanation:
sorry if I'm wrong
A bank account starts with $3.00. The amount in the account doubles every year .
Answer:
Step-by-step explana
multiply it by 2 or sdd itself to it
The account will have $1536.007 after 9 years.
Part A:
To express the total amount of money A(t) in the account after 7 years, we can use the formula:
A(t) = P[tex](2^t)[/tex]
where:
A(t) is the total amount in the account after t years,
P is the initial amount in the account (starting with $3.00 in this case),
t is the number of years.
Substituting the values into the formula, we get:
A(t) = 3 ([tex]2^7[/tex])
A(t) = 3 x 128
A(t) = 384
Therefore, the total amount of money in the account after 7 years is $384.
B) To find out after how many years the account will have $1536.007, we need to solve the equation:
1536.007 = 3 [tex](2^t)[/tex]
Dividing both sides of the equation by 3, we get:
512.0023333333 = [tex]2^t[/tex]
Taking the logarithm (base 2) of both sides, we have:
log2(512.0023333333) = t
t = 9.000317.
Therefore, the account will have $1536.007 after 9 years.
Learn more about Equation here:
https://brainly.com/question/29538993
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0.202 round to the hundredth
Answer:
0.20
Step-by-step explanation:
