Question Completion
a) Find the constant of proportionality.
b) Write an equation relating V and A.
c) How much paint would be needed to cover an area of 180 square feet? Answer:
[tex](a)k=\frac{1}{15} \\\\(b)V=\frac{1}{15}A[/tex]
(c)12 Liters
Step-by-step explanation:
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.
This is written as:
[tex]V \propto A\\V=kA,$ where k is the constant of proportionality[/tex]
(a)5 liters of paint can cover a wall with an area of 75 square feet.
V=5 liters, A=75 square feet.
Substitution into V=kA
5=75k
k=5/75
[tex]\text{Constant of proportionality, k}=\dfrac{1}{15}[/tex]
(b)Substitution of [tex]k=\dfrac{1}{15}[/tex] into V=kA
The equation relating V and A is:
[tex]V=\frac{1}{15}A[/tex]
(c)If A=180 Square feet
Volume of paint needed,
[tex]V=\frac{1}{15} X 180\\=12$ liters[/tex]
17. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller
figure to the larger figure. The figures are not drawn to scale.
3
24
4
32
14
112
OOOO
yes; 1:4
yes; 1:6
yes; 1:8
no
Answer: yes, 1:8
Step-by-step explanation:
Each side multiplied by 8 equals the corresponding sides on the larger figure, which means the larger figure is 8 times bigger than the smaller one.
PLEASE GIVE BRAINLIEST
Both the figure is similar by the scale factor of 1:8. Option C is correct.
It is to be determine that both the figure are similar or not. If similar than by what factor.
The scale factor is defined as the ratio of modified change in dimension to original dimensions.
Both the figure will similar if the ratio of the sides are equal. i.e.
⇒ 3/24=4/32=14/112
1/8 = 1/8 = 1/8
Ratio of the sides are equal by factor of 1/8.
Thus, both the figure is similar by the scale factor of 1:8.
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a line passes through (2,-6) and had a slope of 5/2. Write an equation in slope-intercept form for this line.
Answer:
work is shown and pictured
Charlotte have 36 apple,Dylan have 1 apple and Kevin have 56 apple how many apples are left?
Answer:
93 apples?
Step-by-step explanation:
36 + 1 + 56 = 93 apples?
Horace takes a taxi uptown, and the fare is $12.78. He wants to give the driver a 10% tip.
If Horace gives the driver a $20 bill, how much change should he ask for?
Answer:
$5.94
Step-by-step explanation:
12.78 + 10% (1.28) = 14.06
20.00 - 14.06 = 5.94
work out
3/17 x 17/21
write the answer in its lowest form
3 × 17 over 17 × 21 with the first as numerator and second one as denominator
We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7
The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
From the question,
We are to evaluate 3/17 x 17/21
First, we will write the expression properly
The expression can be written as
[tex]\frac{3}{17} \times \frac{17}{21}[/tex]
The expression can be evaluated as shown below
[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes
[tex]\frac{3 \times 17}{17 \times 21}[/tex]
Simplifying, we get
[tex]\frac{3}{21}[/tex]
Further simplification gives
[tex]\frac{1}{7}[/tex]
Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
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Find the largest number.
16.3, 15.7, 16.9, 15.8
The largest number is
.
if you have seen my questions before i have 4 questions i dont know soo might as well ask someone
Answer:
15.8 I think.........
Answer:
Mark me brain list pls pls pls pls pls pls
Step-by-step explanation:
16.9
a/2 = b/5
Please just help...
Evaluated: a=2b/5 :):):):):):):)
2/5a=b and5 /Answer:
Step-by-step explanation:a=
2b
Need help, check attached image
Answer:
...
Step-by-step explanation:
(x-1) will cancel each other so the answer is the last one
Which equation could be used to calculate the sum of the geometric series?
One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction
Answer:
A
Step-by-step explanation:
edge 2020
Answer:
its A
Step-by-step explanation:
Mean temperature: 78°
Standard deviation: 5°
Washington, DC
July 4: 1952 - 2011
Average Daily Temperature
Check all of the temperatures that are within one
standard deviation of the mean
o 72°
74°
799
84
Number of Years
C) ONO
DONE
Average Temperature
Answer:
74 and 79
Step-by-step explanation:
one standard deviation= 5°
range of one standard deviation: (78-5) to (78+5)
73° to 83°
Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?
Answer:
3
Step-by-step explanation:
From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:
60*5%= 3
According to this, Hunter answered correctly 3 problems on the final exam.
The radius of a circle is 2 centimeters. What is the circles circumference?
Answer: 4π cm or 12.56 cm
Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.
Since the radius is 2 centimeters, we can
plug in 2 centimeters for r in the formula.
So we have (2)(π)(2 cm) which is equal to 4π cm.
So the circumference of this circle is 4π cm.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (4)(3.14) which is equal to 12.56.
So the circumference of the circle is
approximately equal to 12.56 cm.
find the LCD OF 11/15 AND 23/54
Answer:270
Step-by-step explanation: You have the first step right.
54 = 2 * 3^3
15 = 3 * 5
The common denominator will have the highest powers of all the prime factors.
2 * 3^3 * 5
270
what’s the answer to this?
Answer:9
Step-by-step explanation:because when we add 7+7+6+6=26 then we will going to 35-26= 9 im not sure so don’t hate me if it was wrong
(18 points and will mark as brain list if answer all 3 questions)
1. Andrea thought that “x = 10” would be a good guess to solve 6x + 19 = 109. Should her second guess be higher or lower?
2. Solve 2s + 100 = 112 *
3. (The picture)
What is the value of “x” in this model?
The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis. The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10 9 1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km 3 )left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10 12 km 3 kg 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction . To the nearest hundredth of a percent, what percent of the earth's mass is from the oceans? (Ignore the \%%percent symbol when entering your answer. For example, if the answer is 0.11\%0.11%0, point, 11, percent, enter 0.110.110, point, 11.)
Answer:
0.02
Step-by-step explanation:
The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10
9
1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km
3
)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10
12
km
3
kg
1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .
To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x
a
⋅x
b
=x
a+b
x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.
\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10
9
km
3
⋅1.03⋅10
12
km
3
kg
=1.3802⋅10
21
kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text
Hint #2
Next we want to know what portion of the earth's mass this represents. We have:
\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}
total mass of the earth
mass of the oceans
=
6⋅10
24
kg
1.3802⋅10
21
kg
=
6⋅10
3
1.3802
=
6000
1.3802
=0.0002300
3
To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300
3
%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.
Hint #3
To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42
Answer:
y ≤ −6x−21
Step-by-step explanation:
-12x – 2y ≥ –42
– 2y ≥ 12x –42
-2(– 2y ≥ 12x –42)
y ≤ −6x−21
really need brainliest!
Answer:
the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21
Step-by-step explanation:
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
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The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
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Mary had 45 blue ribbons for every 15 yellow ribbons. If she bought 30 yellow ribbons how many blue ribbons will she need?
Answer:
90 blue ribbons
Step-by-step explanation:
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
5/24
1/6
1/4
5/12
Answer:
Step-by-step explanation:
jan
m
m
jun
july
5/12
Probability month starts with the letter J or M is 5/12
Probability based problem:Computation:
Number of total month = 12
Number of month starts with the letter J or M = 5
Probability = Number of desired output ÷ Number of total output
Probability month starts with the letter J or M is = 5 / 12
So, Option 'D' is the correct answer to the following question.
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PLZ HELP WILL MARK BRAINLIEST!
You put $200 in a savings account. The account earns 9% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $___
after 5 years.
b. What is the balance after 5 years?
The balance is $____
after 5 years.
Answer:
Interest earned is $90
balance is $290
Step-by-step explanation:
Positive ÷ positive = ?
Answer:
positive
Step-by-step explanation:
Pretty easy question in physics but no one answers them in that subject so I put it here
Answer:
Wind and biofuel
Step-by-step explanation:
The other are all nonrenewable.
Hope this helps. Also will you friend me so I know if you need any more help I can help you.
The Total surface area of a cube is 1176 in2. What is the length of each side of the cube?
2) Shawn's cat is currently stuck in a tree. Shawn has a ladder that is 15 feet long and he places the ladder 10 feet from the base of the tree. At what angle of depression is Shawn's cat looking at him?
Answer:
48.19°
Step-by-step explanation:
Check the attachment for the diagram.
The set up is a right angled triangle
Using the SOH, CAH, TOA trigonometry ratio to get the angle of depression theta.
The length of the ladder will be the hypotenuse of the triangle.
If he places the ladder 10 feet from the base of the tree, the adjacent of the triangle will be the base of the triangle.
Given Hypotenuse = 15feet
Adjacently = 10feet
According to CAH;
cos(theta) = Adjacent/Hypotenuse
cos(theta) = 10/15
cos(theta) = 2/3
theta = arccos(2/3)
theta = 48.19°
Shawn cat is looking at him at an angle of depression of 48.19°
Factor the expression 4x^2 - 12x - 7
Answer:
(2x+1) (2x-7)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 4 • -7 = -28
Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12
( -28 + 1 = -27
-14 + 2 = -12 )
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
4x2 - 14x + 2x - 7
Add up the first 2 terms, pulling out like factors :
2x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Add up the four terms :
(2x+1) • (2x-7)
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 4 in, x =6 in, y = 6 in, z = 2 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.
a cone with a height of x and a radius of w, a cylinder with a diameter of y and a height of z
please help me
The cone holds 44 cubic inches more ice cream than a cup.
Important information:
Height of a cone is x =6 in and radius w = 4 in.Diameter of a cylinder is y = 6 in and height z = 2 in.We need to find the volumes of each ice cream container.
Volume:Volume of the cone is:
[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V_1=\dfrac{1}{3}(3.14) (4)^2(6)[/tex]
[tex]V_1=100.48[/tex]
The diameter of the cylinder is 6 in so the radius is 3 in.
Volume of the cylinder is:
[tex]V_2=\pi r^2h[/tex]
[tex]V_2=(3.14)(3)^2(2)[/tex]
[tex]V_2=56.52[/tex]
Clearly [tex]V_1>V_2[/tex].
[tex]V_1-V_2=100.48-56.52[/tex]
[tex]V_1-V_2=43.96[/tex]
[tex]V_1-V_2\approx 44.0[/tex]
Therefore, the cone holds 44 cubic inches more ice cream than a cup.
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You have $2000 to invest in an account and need to have $2500 in five years. What annual interest rate would you need to have in order to have this if the amount is compounded monthly?
a) 4%
b) 2%
c) 5%
d) 3%
Answer:
c) 5%
Step-by-step explanation:
A = $ 2,566.72
A = P + I where
P (principal) = $ 2,000.00
I (interest) = $ 566.72
6 radians is the same as____
Round to the nearest hundredth of a degree.
Answer:
343.77
Step-by-step explanation:
1 radian is about 57.2958 degrees
so 57 times 6 is about 343.77
