Answer:
[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]
Step-by-step explanation:
The value of x is given:
[tex]\displaystyle x= \frac{(4/5)^{-2}}{(1/4)^2}[/tex]
We need to find:
[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]
Operating:
[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]
Squaring:
[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]
Multiplying:
[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]
What is a best estimate for 320/11
This is worth 65 points
Step-by-step explanation:
We can estimate 320/11 by using 320/10, which is 32.
Making it divide by 10 is easier as compared to 11.
A scientist at a giant panda preserve in china measrued the length of a newborn cub as 15.5 centimeters. The cubs mother was 9.5 times as tall as the length of the cub. How tall is the mother
Answer:
The height of the mother is 147.25cm
Step-by-step explanation:
The height of the new-born panda is 15.5 centimeters.
Let the height of the mother be = x
We know from the problem that the mother is 9.5 times taller than the baby.
We can get the height of the mother by multiplying the height of the baby by 9.5.
i.e x = 9.5 X 15.5 = 147.25cm
can u solve this easy question:)
Answer:
2.2
Step-by-step explanation:
a = v/t
v = 120km\h = 120*1000/3600= 33.3m/s
a = 33.3/15
a = 2.2 m/s^2
After subtracting 2x from each side, the resulting equation is shown below:
2x--3y=-9
-3y=-2x-9
the final step to solve for y would be to ?
Answer:
divide each number by negative 3
Step-by-step explanation:
-3y=-2x-9
y=2/3+3
An isosceles triangle has an angle that measures 50° Which other angles could be in that
isosceles triangle? Choose all that apply
Step-by-step explanation:
well I don't know what the answer choices are but here's some information that could help.
all of the angles in a triangle have to add up to 180°
and isosceles triangles have at least two sides that are congruent. This also means that at least two angles have to be congruent
based on this there could be two angles that measure 50° and the last angle would measure 80°
or one angle could measure 50° and the other two angles each measure 65 degrees
just ask if you need more information
You know the length and the width of a scale model. What additional information do you need to know to find the scale of the model? The options are... A. The width or height of the actual item B. The length or width of the actual item C. The height or width of the actual item D. The depth or height of the actual item and how would I explain my reasoning depending on the answer?
Answer:
B; The length or width of the actual item
Step-by-step explanation:
In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item
By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other
This means that we compare the length of the scale model and the length of the actual item
Then the width of the scale model and the width of the actual item
Given vectors u = 3, 4, and y=(4,3), what is the measure of the angle between the vectors?
0°
16.39
163.7°
Undefined
Answer:
b on edge, 16.3
Step-by-step explanation:
trust
The angle between the two given vectors is 16.26°
How to find the angle between two vectors?
Here we have the vectors u = (3, 4) and y = (4, 3).
We know that:
u*y = |u|*|y|*cos(θ)
Then:
u*y = 3*4 + 4*3 = 24
And:
|u| = √(3^2 + 4^2) = √25 = 5 = |y|
Then we have:
24 = 5*5*cos(θ)
24/25 = cos(θ)
To find theta, we apply the inverse cosine function in both sides:
Acos(24/25) = θ = 16.26°
If you want to learn more about vectors:
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3×-5=16 and 3×=21
the first equation is a true statement for a certain value of x.
can you explain why the second equation must also be true for the same value of x?
Step-by-step explanation:
because we can also find out the value of x in second equation like this
3x=21
x=21/3
x=7
Answer:
We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Step-by-step explanation:
Given the first equation
3x-5 = 16solving the equation
3x-5 = 16
adding 5 to both sides
3x-5+5 = 16+5
3x = 21 ∵ 3x = 21 is the 2nd equation
divide bothe sides by 3
3x/3 = 21/3
x = 7
Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.
In other words, whatever the value of x we will get, it will satisfy both equations.
Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Verification:
Consider the 2nd equation
3x = 21
Put x = 7
3(7) = 21
21 = 21
Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Based on what you have read, write two to three sentences explaining what James Cross Giblin probably wants readers to think about people who focus on difficult goals.
Answer:
He wants them to know he did it corrcet and knows the writting
Step-by-step explanation:
The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot
Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
What is 4,389 + 8,038
Answer:
12427
Step-by-step explanation:
Answer:
12,427
Step-by-step explanation:
Solve for x. x3=8125 Enter your answer in the box as a fraction in simplest form. x =
The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.
What is the solution to the equation?The solution of the equation means the value of the variable.
The given equation is x³ = 8125.
Taking the cube root, then we have
x = ∛8125
x = 20.1036 ≈ 20.104
The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.
More about the solution to the equation link is given below.
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Can someone please help me on this question
Answer: It's C.
Step-by-step explanation:
2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum
flow of oil that can flow through the pipes (per minute) to show that this demand cannot
be met. Clearly explain how you have found the maximum flow.
D
2
A
10
4
5
8
F
6
с
17
12
B.
12
G
E
Answer:
2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum
flow of oil that can flow through the pipes (per minute) to show that this demand cannot
be met. Clearly explain how you have found the maximum flow.
D
2
A
10
4
5
8
F
6
с
17
12
B.
12
G
E
Please help:)...........
Part (a)
Answer: x = 0-----------------
Work Shown:
[tex]3\left(\frac{x}{7}+2\right) = 6\\\\\frac{x}{7}+2 = \frac{6}{3}\\\\\frac{x}{7}+2 = 2\\\\\frac{x}{7} = 2-2\\\\\frac{x}{7} = 0\\\\x = 7*0\\\\x = 0\\\\[/tex]
In step 2, I divided both sides by 3. In step 4, I subtracted 2 from both sides. In step 6, I multiplied both sides by 7.
================================================
Part (b)
Answer: x = 3-----------------
Work Shown:
[tex]2\left(\frac{5x}{3}-1\right) = 8\\\\\frac{5x}{3}-1 = \frac{8}{2}\\\\\frac{5x}{3}-1 = 4\\\\\frac{5x}{3} = 4+1\\\\\frac{5x}{3} = 5\\\\5x = 3*5\\\\5x = 15\\\\x = \frac{15}{5}\\\\x = 3\\\\[/tex]
The steps are fairly similar to part (a). The steps were
divide both sides by 2 (step 2)add 1 to both sides (step 4)multiply both sides by 5 (step 6)divide both sides by 5 (step 8)The record low temperature in Kansas is -40°F. The record low temperature in Florida is -2°F. What is the difference between the two states' record low temperatures?
What is the solution to m/-7 less than or equal to 14? m Greater than or equal to –2 m Greater than or equal to –98 m Less than or equal to –2 m Less than or equal to –98
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Given l || m || n, find the value of x
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]As\ we\ are\ given\ that\ l\ \parallel m\ \parallel n,\\We\ can\ tell\ that\ l \parallel n\\As\ we\ know\ that\ if\ two\ lines\ are\ parallel, then\ the\ pair\ of\ corresponding\ angles\\formed\ are\ equal.\\Hence,\\As\ (8x-17)\ and\ (4x+11)\ are\ corresponding,\ they\ are\ equal.\\Hence,\\8x-17=4x+11\\8x-4x=11+17\\4x=28\\x=28/4\\[/tex]
[tex]x=7[/tex]
What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3
Answer:
f(x)=1/4x-3
Step-by-step explanation:
y=mx+b
y-intercept is -3
-3=b
rise over round to find the slope
up 1 over 4
m=1/4
What is the remainder when (4x^3 + 3x^2 - 17x - 12) is divided by (x - 1)?
Answer:
remainder is 4x^2+7x-10- 22/x-1
Step-by-step explanation:
find the midpoint (8, -6) (6,5)
One question, please help!
Answer:
k=5
Step-by-step explanation:
for every one unit on the x, the y goes up five. So, the ratio is 5:1 or five.
In a winter storm, the amount of snowfall is directly proportional to the time
it has been snowing. After 4 hours, a total of 7 inches of snow has fallen. Determine how many inches of
snowfall have fallen after 6 hours. Show the work that leads to your answer.
Answer:
10.5 Inches of snow after 6 hours
Step-by-step explanation:
First you would divide
7/4=1.75
Then you would multiply by 6
1.75*6=10.5
10.5 inches of snow would be the total
Hope this helped! :D
The amount of snowfall in 6 hours, if the amount of snowfall is directly proportional to the time, is 10.5 inches.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
Given:
In a winter storm, the amount of snowfall is directly proportional to the time,
After 4 hours, a total of 7 inches of snow had fallen,
Calculate the amount of snowfall in one hour as shown below,
amount of snowfall in one hour = 7 / 4
Calculate the amount of snowfall that occurs in 6 hours,
Amount of snowfall in 6 hours = 7 / 4 × 6
Amount of snowfall in 6 hours = 10.5 inches
To know more about proportion:
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Solve the triangle with the law of sines
Answer:
AC = 12.6
AB = 49.8
C = 73°
Step-by-step explanation:
(B/sin(14)) = (52/sin(93))
B = (52*sin(14))/sin(93)
B = 12.6
(C/sin(73)) = (52/sin(93))
C = (52*sin(73))/sin(93)
C = 49.8
what is K=2r-5s solving for r
HELP! WILL MARK BRAINLY EST!
Answer:
answer: B
Step-by-step explanation:
Find the common difference for the sequence shown.
56, 49, 42, 35, ...
Answer:
7
Step-by-step explanation:
a local flower shop sells a dozen roses for 12.85 how much will one rose cost
Answer:
1.07
Step-by-step explanation:
Help me out again oop
Answer:
count da squares first then triangles 12:6
Answer:
2:1
Step-by-step explanation:
12:6 simplfies to 2:1
HELP PLEASE I GIVE A LOT OF POINTS JUST ANSWER QUICK
Answer:
See answers below (and image for functions)
Step-by-step explanation:
g(x) = (3)^5x is a horizontal compression
h(x) = 4(3)^x is a vertical stretch since |a|>1
p(x) = 1/2(3)^x is a vertical compression since 0<|a|<1
w(x) = 3^0.2x is a horizontal stretch