Answer:
x = 10
Step-by-step explanation:
[tex]\mathsf{given \ f(x)=x^3 \ and \ f(x)=1000}\\\\\mathsf{\implies x^3=1000}\\\\\mathsf{\implies x=\sqrt[3]{1000}}\\\\\mathsf{\implies x=10}[/tex]
A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 10 minutes. Air traffic control approved a new flight plan that will allow her to arrive three times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination. y equals one third times x plus 10 y = 3x + 10 y equals one third times x minus 10 y = 3x − 10
Answer:
a. y equals one third times x plus 10
= y = 1/3(x) + 10
Step-by-step explanation:
Let us represent:
Let the original final plan = x
Let the current flight plan = y
The initial time of departure = 4.00pm
Her flight was then delayed for 10 minutes
We are told in the question that:
The current flight plan allows her arrive at her destination three times faster.
This means y= (1/3)x
y = x/3
Hence the equation generated =
y = x/3 +10
y = 1/3(x) + 10
Answer:
y = 1/3x + 10
Step-by-step explanation:
what is -6.5 x (-.4)
Answer:
2.6x
Step-by-step explanation:
Answer:
2.6
Step-by-step explanation:
a railroad crew can replace 400 meters of rail in 5 days. How many kilometers can they replace in 20 days?
Answer: 1.6 km
Step-by-step explanation:
If they can replace 400 meters in 5 days, that means they can replace 80 meters in 1 day, (400/5). So in 20 days, they will do 20x80 = 1600 meters. Since 1000 meters make one km, 1600/1000 = 1.6 km in 20 days
If f(x) = 3^x and g(x) = 2x + 5, at which value of x is f(x) < g(x)?
A. -1
B. 2
C. -3
D. -4
Answer:
A) x = -1
Step-by-step explanation:
[tex]f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)[/tex]
[tex]f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)[/tex]
[tex]f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)[/tex]
[tex]f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)[/tex]
Write an equation of the line passing through the points (4, 15) and (-2, -21).
Step-by-step explanation:
(y2-y1)/(x2-x1)=(y-y1)/(x-x1)
(-21-15)/(-2-4)=( y-15)/(x-4)
6(x-4)=y-15
6x-y-9=0
Sort the following numbers in order from least (bottom) to greatest (top)
Answer:
bdacStep-by-step explanation:
the least value is negative 9 x 10-³
the greatest value is positive 7 x 10-⁵
Answer:
2,4,1,3
Step-by-step explanation:
So, I labeled each one, 1,2,3, and 4 respectively.
1, when expanded is 0.000005
2 is equal to -0.009
3 is simple 0.00007
and 4 is -0.0000002
Obviously the one of the negative numbers is the smallest. The bigger number with the negative sign is more negative because it is farther away from one on the number line. Therefore 2 is the smallest. That makes 4 the second smallest. 3 is larger than 1 because there are less zeros to the first non-zero digit. That places the order from least to greatest as:
2,4,1,3
you had $22 to spend on three pretzels. After buying them you had $15.70.How much did each pretzel cost?
Answer: $2.10
Step-by-step explanation: 22-15.70= 6.3
This means you spent $6.30 on pretzels. Divide 6.30 by 3 to find out how much each pretzel costs. You would get 2.1 (which is written as $2.10 in money).
So far, Ricardo has scores of 13, 17, 19 and 21 points for the first four rounds of a dice game. What does he need the total score to be for the next two rounds combined in order to achieve an average score of 20 points per round for all six rounds?
Answer:
40 points
Step-by-step explanation:
The score for the first four rounds of the game is 13, 17, 19, and 21 points.
Let [tex]S_5[/tex] and [tex]S_6[/tex] be the scores of the fifth and sixth games respectively in order to achieve an average score of 20 points per round for all six rounds.
[tex]\text{Average score} = \frac{\text{Sum of the scores of all the rounds}}{\text{Total number of the rounds}}[/tex]
[tex]\Rightarrow 20=\frac{13+17+19+21+S_5+S_6}{6}[/tex]
[tex]\Rightarrow 20\times6=80+S_5+S_6[/tex]
[tex]\Rightarrow S_5+S_6=120-80=40.[/tex]
Hence, the combined score of the fifth and sixth rounds are 40 points.
Iron(II) sulfide has a molar mass of 87. 91 g/mol. 50 grams of this substance would contain about 3. 011 x 1023 molecules.
true or false?
Answer:
False
Step-by-step explanation:
The number of molecules in a mole of any substance is Avogadro's number, 6.022×10^23. The number of moles of a substance is the mass of it divided by the mass per mole. Here, we expect the number of molecules to be about ...
(6.022×10^23 molecules/mole) × (50 g)/(87.91 g/mole)
≈ 3.425×10^23 molecules
__
The suggested number is approximately 12% low, too far off to be considered "about" correct. The offered statement is FALSE.
Please help its urgent
Answer:
above is the solution to the question hope it helps. dimensions are in cm, area is in cm^2
Find three consecutive integers such that the sum of the first and twice the second is 86 minus three times the third.
18+(-22.45) what does this equal?
Answer:
Today: Monday, 12 October 2020
Hour: 20.25 WIB (in Indonesian)
________________________
18 + (-22.45) = -4,45
-22.45
18
_____+
-4.45
4 quarters are equal in value to 10 dimes.
1. How many dimes equal the value of 6 quarters?
2. How many dimes equal the value of 14 quarters?
3. What value belongs next to the 1 in the table?
What does it mean in this context?
Answer:
Step-by-step explanation:
Pleaseee Help me ? THANK YOU!!!
Answer:
11
Step-by-step explanation:
3³ - (6 - 2)²
3³ - 4²
27 - 16
11
Answer:
Please mark as brainliest;)
If PQRS is a parallelogram and PQ=9x+1 and RS=13x-11, solve for x.
Applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
What is a Parallelogram?A parallelogram is a quadrilateral that has two pairs of opposite sides that are congruent to each other.
Given the following:
PQ = 9x + 1RS = 13x - 11Find x by creating an equation:
PQ = RS (congruent sides)
Substitute
9x + 1 = 13x - 11
Combine like terms
9x - 13x = -1 - 11
-4x = - 12
x = 3
Therefore, applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
Learn more about parallelogram on:
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Helpp pls I need an answer
Answer:
It would be 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5x + 2 - 7x = -10
Combine the two x's:
-2x + 2 = -10
Subtract 2 from both sides:
-2x = -12
Divide both sides by -2:
x = 6
Solve for y.
2v+3y=10
Simplify your answer as much as possible.
V
D
Answer:
y = [tex]\frac{10-2v}{3}[/tex]
Step-by-step explanation:
Given
2v + 3y = 10 ( subtract 2v from both sides )
3y = 10 - 2v ( divide both sides by 3 )
y = [tex]\frac{10-2v}{3}[/tex]
A farm grew 19.8 tons of wheat in 2013. The farm’s wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a for estimating the total output of wheat in tons, in 2015?
A. 20+10+5
B. 20(10)(5)
C. 20+1.1+1.05
D. 20(1.1)(1.05)
Please show ur work or at least explain!!
Tysm!
Answer:
B
Step-by-step explanation:
Because you are multiplying the 20 by the 10 and 5 to get the percentage that wheat increased. all the other options are either just adding number together of multiplying the wrong numbers.
If a pair of shoes cost 150 how much will you pay if you get a 15 percent discount ?
Answer: 22.50
Step-by-step explanation:
Answer:$127.50
Step-by-step explanation:
15 percent of 150 is $22.50 so subtract that $22.50 from $150
6. If AB = CD, then CD = AB.
what is the postulate, or theorem
Answer:. Then either A = C and B = D, or A = D and B = C.
Step-by-step explanation:
QUESTION NUMBER 1 I NEED HELP WITH
Answer:
330
Step-by-step explanation:
heart = 110, and the problem is asking the value of 3 hearts. 3 x 110 = 330
Answer:
d: 330
Step-by-step explanation:
spade = heart*2
spade-heart = 110
substitute spade into spade:
2*heart-heart = 110
heart = 110
So,
heart = 110
and,
spade = 2*heart = 2*110 = 220
so spade+heart = 220 + 110 = 330
also, please mark me as brainliest.
A cone with volume 1350 m³ is dilated by a scale factor of 13. What is the volume of the resulting cone? Enter your answer in the box. M³.
The volume of the resulting cone is equal to 50 [tex]m^3[/tex].
Given the following data:
Volume of cone = 1350 [tex]m^3[/tex].Dilation factor = [tex]\frac{1}{3}[/tex].How to calculate the volume.Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Applying the dilation factor, we have:
[tex]V =(\frac{1}{3} )^3 \times 1350\\\\V=0.037037037 \times 1350[/tex]
V = 50 [tex]m^3[/tex].
Read more on cone here: brainly.com/question/21367171
Find side x. Round to the nearest tenth.
please help will give brainliest to the correct answer
Answer:
Step-by-step explanation:
One way to answer this problem is to notice as x goes up 1, y will go up 2. The relationship is linear. No exponential function is going to do that. The jump will not be so easily described.
So what's the answer?
The exact description is D. It is just what I wrote in more general terms.
Which set of ordered pairs represents a function?
a
{(1, 8), (8, 1), (1, 5), (5, 1)}
b
{(2, 1), (3, 1) (4, 3), (5, 3)}
c
{(5, 1), (3, 8), (3, 7), (7, 3)}
d
{(5, 1), (5, 6), (1, 3), (9, 7)}
Answer:
b. {(2, 1), (3, 1) (4, 3), (5, 3)}
In the given figure, O is Center of circle. If AC//DB and angle ABC=50 , find angle ACD
Answer:
Step-by-step explanation:
m∠ACB = m∠CBD = 90° ⇒ m∠CAB = 90° - 50° = 40° = m∠ABD ( Alternate interior angles )
m∠CBD = 90°
m∠CDB = 50 °
Check the picture below, notice the tickmarks, both sides are equal and they make twin angles on the "base" side of the isosceles triangle.
May I please have help. This is 7th-8th grade math.
30 POINTS
Answer:
See attached
Step-by-step explanation:
Refer to attachment
ΔA'B'C' is the image of ΔABC
HURRY WILL NAME BRAINLIEST Which pairs of rational numbers are equivalent? Select all that apply.
-0.5 and Negative one-half
0.ModifyingAbove 7 with barand StartFraction 7 over 10 EndFraction
StartFraction 11 over 20 EndFractionand 0.55
StartFraction negative 1 over 50 EndFractionand -0.02
0.15 and 0.1ModifyingAbove 5 with bar
The 3 equivalent pairs are:
-0.5 and -1/211/20 and 0.55-1/50 and -0.02Which pairs of rational numbers are equivalent?
Remember that two numbers A and B are equivalent if:
A = B
The first pair given is:
-0.5 and (-1/2).
We know that 1/2 = 0.5, then (-1/2) = -0.5
So we conclude that
-0.5 and (-1/2) are equivalent.
Another equivalent pair is:
11/20 and 0.55
To check this, you can just solve the fraction in your calculator, you will see that:
11/20 = 0.55
Then 11/20 and 0.55 are equivalent.
The final equivalent pair is:
-1/50 and -0.02
Because:
-(1/50) = -(0.02) = -0.02
Then -1/50 and -0.02 are equivalent.
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Answer:
A B
Step-by-step explanation:
The surface area of a cylinder is approximately 640.56 square meters. The radius of the cylinder is 5 meters less than the height of the cylinder. To the nearest whole meter, what are the radius and height of the cylinder?
the radius is approximately 6 meters,
height is approximately 11 meters
The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
What is cylinder?A cylinder is a "three-dimensional object with two round flat bases and one curved side. It has a curved surface in the middle. The base and the top surface are identical".
According to the question,
Surface area of the cylinder = 640.56 m²
Let the height of the cylinder = x meters
Let the radius of the cylinder = (x-5)meters
Formula for surface area of cylinder = 2πrh ( where 'r' is the radius of the cylinder and 'h' height of the cylinder)
640.56 = 2(3.14)(x-5)(x)
640.56/(6.28) = x² - 5x
x² - 5x =102
x² - 5x - 102 =0
using quadratic equation, [-b±√(b² - 4ac)]/2a.
b = -5; a=1; c=102
x =[-(-5) ±√(-5)² - 4(1)(102)]/2
= [5 ± √433]/2
x = 11 and -7
since x=-7 neglect negative value, we get x=11.
The height of the cylinder is 11 meters
The radius of the cylinder is (11 - 5) = 6 meters.
Hence, The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
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please help its A Math Problem Please and Thank you .Consider the translation that is defined by the coordinate translation (x,y)à (x+12, y -7). What is the preimage of C’(-2,1)?
Question 5 options:
C(14, 5)
C(-10+5)
C ( 10,9)
C(-14,8)
Step-by-step explanation:
Since you added 12 to the x coordinate and subtracted 7 from the y coordinate, to undo that translation, you need to subtract 12 from the x coordinate of the image and add 7 to the y coordinate of the image.
This gives you that C=(-2-12, 1+7)=(-14, 8)