The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
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Determine the values of the variables in isosceles trapezoid CHLE below.
Enter numbers only, do not enter units.
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?
Answer:
4
Step-by-step explanation:
3,186/22= 144
144/36= 4
PLEASE HELP! Drag each tile to the correct box.
The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.
Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
What is the area of this face?
100 in2
40 in2
52 in2
28 in2
Answer:
[tex]28in^2[/tex]
Step-by-step explanation:
Split it up.
3 rectangles.
You have two congruent ones, whose area is 2 * 4 = 8 and their total is 16
Then you have another one whose area is 6 * 2 = 12
16 + 12 = 28
Subtract.
(5x-1)-(3xy+c)
Answer:
5 x − 1 − 3 x y − c
The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
The given expression is (5x-1)-(3xy+c)
The subtraction between them is
5x - 1 - 3xy - c
Thus, the subtraction would be 5x - 1 - 3xy - c.
Learn more about linear equations;
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What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4
Answer:
y ≤1
Step-by-step explanation:
The range is the output values
It has a max at 1 and can be any value below 1
y ≤1
Answer:
f(x) < 1
Step-by-step explanation:
Max y value on the graph is y = 1, hence the range is f(x)《 1
From the given options,
f(x) < 1
simplify
x+20−16
20+x−16
x+16−20
16+x−20
20−(x+16)
20−(x−16)
x−20−16
20−x−16
Answer:
x+4
4+x
x-4
-4+x
4-x
36-x
x-36
4-x
Step-by-step explanation:
A powerful computer is purchased for $2000, but loses 20% of its value each year.
Answer:
It loses $400 a year
Step-by-step explanation
$2000 x 20% or .20 = $400 per year is what the computer loses.
It loses a great deal of value a year.
Answer: 100n
Step-by-step explanation:
Each year it looses 100$ of its value each year.
Jack has 20 unit cubes. How many rectangular prisms with different sized bases can he build with the cubes?
Answer:
Jack can form four rectangular prisms with 20 unit cubes.
Step-by-step explanation:
Number of unit cubes Jack has = 20
Factors of 20 = 1, 2, 4, 5, 10, 20
The possible dimensions of a rectangular prism that can be formed by these unit cubes may be,
1 × 1 × 20 (One cube at the base)
1 × 2 × 10 (2 cubes at the base)
1 × 4 × 5 (4 cubes at base in a single row)
2 × 2 × 5 (4 cubes at the base with 2 cubes in length and 2 cubes in width)
Therefore, Jack can form four rectangular prisms with 20 unit cubes.
How do you write 3.0 × 10^2 in standard form?
Answer:
300
Step-by-step explanation:
First you would find 10^2, which is 100. Then you just multiply 100 by 3.0 and get 300 :)
Answer:
To write in standard form, we have to move the decimal point in 3.14 over 2 places to the left since our exponent is −2. This gives us our answer of 0.0314.
I might be wrong.
What is a less than 16
Answer:
15 is a less than 16
Step-by-step explanation:
Answer:
What are the choices??
Step-by-step explanation:
Sarah and gabriela are at a soccer camp . The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice . How many soccer practices can the coach have?
Answer:
the answer is 12
Step-by-step explanation:
you basically have to divide 8 by 2/3 then you would get 12
8/1 / 2/3 kcf8/1 x 3/2= 24/224 divided by 2 = 12Luke has 1/5 of a package of dried apricots. He divides the dried apricots equally into 5 small bags. Luke gives one of the bags to a friend and keeps the other four bags for himself.
What fraction of the original package of dried apricots did Luke keep for himself?
Answer:
4/25
First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.
find the missing angle in the triangle
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
The volume of a cylinder is 40 ft which expression represents the volume of O.C. one with the same base and height as the cylinder
The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?
3(40) ft³
3(1/40) ft³
1/3(40)ft³
1/3(40²) ft³
Answer:
The expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
Step-by-step explanation:
To find the expression that represents the volume of a cone with the same height and base as the cylinder, we will follow the steps below:
First write down the formula for calculating volume of a cone and volume of a cylinder
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
volume of a cylinder = πr²h
If the base are the same, this implies they have the same radius, and from the question, it states that they have the same height, hence;
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
from the question, the volume of the cylinder is 40 ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
= [tex]\frac{1}{3}[/tex] (40) ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (40) ft³
Therefore the expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8
Answer:
It should be A
Step-by-step explanation:
multiply the - by 7/8 to get -7/8
Answer:A
Step-by-step explanation:
What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
Answer:
(x + 4)(x + 5)
Step-by-step explanation:
If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x
The line plot below shows the number of kilometers Carson biked each day for 14 days. Does one measure describe the data better than the other? Explain
Answer:
It depends on the description you want to make. If you want to describe how separate is the data, then you would use a variation measure like a standard deviation which will compare each data with the mean.
On the other hand, if you want to measure how close the data is, then you would use central measures, like the mean or median, that will tell you the central value the whole data is pointing to.
Therefore, there's no bettter measures, it always depends on what aspect you want to highlight about the data set.
Tiffany answered 90% of the questions on her math test correctly.
There were 50 questions on the test. How many questions did Tiffany answer correctly:
I NEED TO SHOW MY WORKKK, thank you :))
50=100%
X=90%
X=50*90%/100
X=45
Answer:
45
Step-by-step explanation
90/100 × 50/1 50 goes into 100 2
90/2 × 1/1 = 45
Hope this helps
can someone explain the Pythagorean Theorem to me
Answer:
The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').
Step-by-step explanation:
please help me, i wanna to move one to the next grade, 10 points
Answer:
D
Step-by-step explanation:
All the other answers are above $50 while D gives you $49.75.
Good luck!
Answer:
the answer is D
Step-by-step explanation:
because 46.25 plus 3.50 is equal to 49.65 so she can spend it without exceeding the limit
Simplify. x + y - 0 x 2 - y 2
Answer:
-y^(2)+x+y
Step-by-step explanation:
Math question down below
Answer:
D. 604
Step-by-step explanation:
411/3 = 137
137 + 388 = 525
----------------------------------
(n) 604 - 79 = 525
someone please help me haha
Step-by-step explanation:
6(2x^2 - x - 28)
6(2x + 7)(x - 4)
How many 9’s are there between 1 and a 100?
Answer:
20
Step-by-step explanation:
what kind of polynomial is 2x^4-4x^2
Answer:
Binomial
Step-by-step explanation:
It has 2 terms in the expression
Answer: quadratic polynomial
Step-by-step explanation:
A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? (please help I might fail Math.)
Answer:
226 grams
Step-by-step explanation:
The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.
As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,
Amount decayed = 1/2 * 904 grams
= 452 grams
Amount left = 904 grams - 452 grams
= 452 grams
After another 35 hours (now a total of 70 hours),
Amount decayed = 1/2 * 452 grams
= 226 grams
Amount left = 452 grams - 226 grams
= 226 grams
please respond with the format showed on the picture so use . after the letter and display the answer (summarized: answer with one of the answers on the picture
Answer:
B. 19
Step-by-step explanation:
35-16=19
2 2/3 Divided by 1/4
Find the quotient simplify if possible
Answer:
Step-by-step explanation:
make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2
8/3
8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)
[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]
32/3=10 2/3
Which polynomials are in standard form?
Answer:
Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.
Step-by-step explanation:
