__________
[tex] \: [/tex]
f(x) = -3x - 1
g(x) = 2x + 2
Soo :
f(2) :f(2) = -3(2) - 1
f(2) = -6 - 1
f(2) = -7✔
.
g(-2) ;g(-2) = 2(-2) + 2
g(-2) = -4 + 2
g(-2) = -2✔
According to the laws of physics, the weights of objects on the Earth are proportional to their weights on the Moon. A boy who weighs 66 lb on Earth weighs 10.92 lb on the Moon. How much will a man who weighs 185 lb on Earth weigh on the Moon? Round your answer to the nearest tenth.
A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon
Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.
Let y represent the weight of object on earth and x represent the weight of object on the moon.
y ∝ x
y = kx
When y = 66, x = 10.92, hence:
66 = 10.92k
k = 6
When y = 185 lb:
185 = 6x
x = 30.8 lb
A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon
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Answer:
30.8lb
Step-by-step explanation:
HELP! DUE SOON! X^2=6
Answer:
x² = 2
x = sqrt. of 6
x = (+-)2.449
Step-by-step explanation:
brainliest plz
How to figure out the equation for this graph?
9514 1404 393
Answer:
y = x² -6
Step-by-step explanation:
It helps to remember what the coordinates of a point on a graph mean.
(x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis
If we subtract 6 from the y-value, the point will move down on the graph by 6 units.
__
The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...
(x, y) = (x, x²)
When we subtract 6 from the y-value, the points become ...
(x, x² -6)
That is, the new (shifted) value of y is ...
y = x² -6
SHOW YOUR WORK. Algebra question. 100 POINTS. Easy
Answer:
x = 3/2Step-by-step explanation:
Add up the given equations t eliminate y and solve for x:
3x + 2y + 3x - 2y = 4 + 56x = 9x = 9/6x = 3/2Your choice is correct
What do I do about this?
Answer:
you can get a VPN and it will let you view restricted content
solve pls brainliest
Step-by-step explanation:
-4+13=9
-16-(-29)=13F lower
Solve for x. 5x = 60
Answer:
[tex]x = \frac{60}{5} = 12[/tex]
..........................................
Find the value of (64)1/2x(125)1/3
Solve the equation 3x2 +5=4x
Step-by-step explanation:
the roots are complex
the answer is in the image above
Multiply. Write your answer as a fraction in simplest form.
8
X
9
Answer:
40/54 = 20/27
Step-by-step explanation:
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Answer: x=68 °
Step-by-step explanation:
The sum of the angles h in the n-gon is calculated by the formula :
[tex]\displaystyle \rm S=180(n-2)[/tex]
where n is the number of sides
Then the sum of all the corners of the pentagon is equal to
[tex]\rm S=180(5-2)=540 \\\\[/tex]
[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]
Its a Pentagon
[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]
[tex]\\ \sf\longmapsto 5x+200=540[/tex]
[tex]\\ \sf\longmapsto 5x=540-200[/tex]
[tex]\\ \sf\longmapsto 5x=340[/tex]
[tex]\\ \sf\longmapsto x=340/5[/tex]
[tex]\\ \sf\longmapsto x=68[/tex]
A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.
Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
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Solve the for variable
c+7=13
c = ?
Answer:
c=6
Step-by-step explanation:
c+7=13
-7 -7
c=13-7
c=6
Unit 3 parallel and perpendicular lines homework 2 please help quickly don’t understand front page
Answer:
this statement is confusing me
Step-by-step explanation:
cause I don't understand it
Michael wants to save $46,000.00 for a down payment on a home. How much will he need to invest in an account with 6.1% APR, compounding daily, in order to reach his goal in 7 years? Round the answer to the nearest cent
Step-by-step explanation:
Simple Interest
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them
SIMPLE ONE-TIME INTEREST
I
=
P
0
r
A
=
P
0
+
I
=
P
0
+
P
0
r
=
P
0
(
1
+
r
)
I is the interest
A is the end amount: principal plus interest
P
0
is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05)
EXAMPLES
A friend asks to borrow $300 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?
Show Solution
The following video works through this example in detail.
One-time simple interest is only common for extremely short-term loans. For longer term loans, it is common for interest to be paid on a daily, monthly, quarterly, or annual basis. In that case, interest would be earned regularly.
For example, bonds are essentially a loan made to the bond issuer (a company or government) by you, the bond holder. In return for the loan, the issuer agrees to pay interest, often annually. Bonds have a maturity date, at which time the issuer pays back the original bond value.
EXERCISES
Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% interest annually that matures in 5 years. How much interest will you earn?
Show Solution
Further explanation about solving this example can be seen here.
what's the slope of line parallel to the line x-4 = -6
Answer:
Parallel slope is undefined.
Step-by-step explanation:
x - 4 = -6
x = -2
Slope does not exist.
Guys please help out with this asap ! thanks
4. As Jody dives below the water, its temperature decreases by 0.3 degrees Fahrenheit per foot that he dives. If
Jody is diving at a rate of 2.5 feet per second and the water at the surface is at a temperature of 68 degrees
Fahrenheit then what is the temperature of the water Jody is in after diving for 20 seconds?
(1) 48
(3) 57
(2) 53
(4) 83
Answer:
83
Step-by-step explanation:
The temperature of the water Jody is in after diving for 20 seconds is 53.
Given that,
The temperature should be decreased by 0.3 degrees.The rate should be 2.5 feet per second and the temperature of 68 degrees.And, the time taken is 20 seconds.Based on the above information, the calculation is as follows:
[tex]= 68 - (2.5\times 20\times 0.3)[/tex]
= 68 - 15
= 53
Therefore we can conclude that the temperature of the water Jody is in after diving for 20 seconds is 53.
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A fruit basket has 16 apples and 6 bananas in it. What is the ratio of bananas to apples in the fruit basket?
i believe it is 6: but I dont know for sure
What two numbers multiply to equal 20 but when added equal 12
Answer:
Two and ten.
Step-by-step explanation:
Answer:
2 and 10
Step-by-step explanation:
2 +10 = 12
And 2×10 = 20
Find the coordinates of point U.
A. (1.2, 0.4)
B. (1.4, 0.4)
C. (2.4, 0.4)
D. (0.4, 1.4)
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C
CAN YOU BRAINLEST ME THANK YOU
HOPE IT HELPS YOU
A Matrix of 1xM is called as ______.
Answer:
row matrix
Step-by-step explanation:
A matrix with only 1xmis called a ______ matrix
Please help me I need help
Help help help close
Answer:
x = 3.2
Step-by-step explanation:
Divide 400 by 125 to get x.
Answer:
x = 31.25%Step-by-step explanation:
[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]
Subtract 8 1/6 - 4 5/6 Simplify the answer and write as a mixed number.
Answer: A
Step-by-step explanation:
Ants love to eat Whales. You learn something new everyday! :)
Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?
Having a hard time with the last one.
Answer:
-28
Step-by-step explanation:
20x+12y-28=20x+12y+[?
subtract like term so 20x-20x and 12y-12y
therefore -28 =[?
The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 8?
The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
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Find the volume of the composite solid.
Answer:
The answer would be c
Step-by-step explanation:
Answer:
B, if not then it's D
Step-by-step explanation:
e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.
From the combined standard deviation, with the mean, and standard
deviation of the data sets, the required variance can be found.
[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]Reasons:
The given data information are;
Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0
Standard deviation of the the first set, σ₁ = 4.0
Sample size of second observation, n₂ = 20
Mean of second sample, [tex]\overline x_2[/tex] = 10
Standard deviation of the combined set, σ₁₂ = 3.0
Sample size of combined set of observation, n₂ = 35
Solution:
The number of elements in the second sample, n₁ = 35 - 20 = 15
The standard deviation of the combined set is given by the formula;
[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]
Where;
[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]
Therefore;
[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]
d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]
[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]
d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]
[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]
Therefore;
[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]
Solving gives;
[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]
[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]
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