Answer:
21 jacks/min
or 21 jacks per minute
Step-by-step explanation:
63/3 = 21
write it as ___ unit/rate
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Use the drawing tools to form the correct answer on the graph. Plot function f on the graph. f(x)= 3, -9
The equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
What is the definition of a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,
x=3
x-3=0
The second solution is,
x=-9
x+9=0
Multiply both factor for the function as,
f(x)=(x-3)(x+9)
f(x)=x²+9x-3x-27
f(x)=x²+6x-27
This is the required function. The graph of this function is attached below.
Thus, the equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
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If log(16)=s, what is the value of 2/3 log(6400) - 1/3 log(1600) in terms of s?
The value of the given expression in terms of s will be [(s + 0.602)/3].
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
If [tex]\log(16) = s[/tex]
Then the value of the given expression in terms of s is given below.
[tex]\dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)[/tex]
We know the property of the logarithm.
[tex]\log 100 = 2[/tex]
Then we have
[tex]\rm \rightarrow \dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)\\\\\\\rightarrow \dfrac{2}{3} \times ( \log 16 + \log 4 + \log 100 ) - \dfrac{1}{3} \times (\log 16 + \log 100)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 0.602+2) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 2.602 ) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2 (s + 2.602) - (s - 2)}{3} \\\\\\\rightarrow \dfrac{s + 0.602}{3}[/tex]
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3tan² 45° - sin² 60 - cot 30 + sec² 45°
Answer:
[tex]4.25-\sqrt{3}.[/tex]
Step-by-step explanation:
1) tan45=1; sin60=√3/2; cot30=√3; sec45=√2, then
2) 3-0.75-√3+2=4.25-√3 (it is ≈2.5179492).
trihh has a 3 1/2 foot long peice of ribbon she plans to cut into pieces to make boomarkets each bookmarkt will be 1/4 long how many bookmarks can she make
3 1/2 = 7/2
7/2 ÷ 1/4
7/2 × 4/1
14/2
7 pieces
hope it helps...!!!
Which was a factor in explosive population growth in cities? Please help
Answer:
b
Step-by-step explanation:
And environmental group would like a representative sample of its members to complete a survey. Which method gives the most representative sample?
a. Survey all the people who attended the month club meeting.
b. Survey every third person from the list of group members.
c. Survey the first five people who joined the club.
d. Survey every other person that went on the weekend nature walk.
Answer:
D.
Step-by-step explanation:
When you survey every 3rd person you will use that as a good sample for the survey. Hope this helps!
What is the absolute value of negative 1/2
Answer:
The absolute value of negative 1/2 is 1/2
Step-by-step explanation:
The absolute value of a number is the positive form of the number
HELP PLS WILL GIVE BRAINLIEST
A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge s (in dollars) is given by the function S= 0.40M + 18.95 , where M is the number of miles driven.
The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function I = 0.25M + 5.70.
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M . Simplify your answer as much as possible.
C= ?
Answer:
Simplified answer = C = $0.65m + $24.65
Step-by-step explanation:
Add the two initial charges together (from the insurance and the standard charge) and you get $24.65. Then add the two charges together for each mile which is $0.65 per mile. Therefore, the total charge on the car is $24.65 + 65 cents every mile driven.
Consider the questions below:
Are the line parallel or perpendicular?
[tex]\Large\textsc{Answer\::}[/tex]
ParallelPerpendicular[tex]\Large\textsc{\textbf{Calculations\::}}[/tex]
First , notice that the equation of the second line , 6x=3y+5 , is not written in the same form as y=2x , so determining the slope is hard .
To determine the slope , we need to convert the first equation into slope intercept form .
Subtract 6x on both sides :
0 = 3y+5-6x
Now , subtract 3y on both sides :
-3y=-6x+5
Divide by -3 on both sides :
y=-6/-3x+5/-3
Which simplifies to :
y=2x-5/3 (remember , a negative divided by a negative results in a positive)
Put both equations together :
y=2x and y=2x-5/3
Notice that the slopes are the same . This indicates that the lines are parallel .
Now let's focus on the second maths problem :
Consider the equations below .
x=-4 and y=-2
Are the lines parallel or perpendicular?
The slope of the first line is undefined , and the slope of the second line is zero .
Lines with undefined slopes are vertical , and lines with slopes of zero are horizontal .
Here's something you may have recalled from your Geometry class :
Is a vertical line parallel or perpendicular to a horizontal line ?
The ans is : perpendicular .
Henceforth , the lines x = -4 and y = -2 are perpendicular to each other .[tex]\footnotesize{\texttt{hope helpful~}[/tex]
There are 10 girls in an athletics club.
e ratio of girls to boys is 5:3.
w many boys are there?
Answer:
6Step-by-step explanation:
There are 10 girls in an athletics club.
e ratio of girls to boys is 5:3.
w many boys are there?
we can solve with an equation
10 : x = 5 : 3
x = 10 * 3 : 5
x = 30 : 5
x = 6
---------------
PLEASE HELP
Describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3sqrt x-h+k
Answer: h = left or right, k = up or down
Step-by-step explanation:
h determines if the function is shifted left or right and k determines if the graph is shifted up or down
Two electricians work 6 1/2 hours each per day for 5 days. Find the total number of hours worked.
Mixed format: 10 3/4 (with a space between the whole number and the numerator) Fraction format: 1/4 Reduce all fractions.
Answer:
32.5 hours
Step-by-step explanation:
Total hours
6.5 x 5
32.5 hours
if lin has already run 19.6 miles of the marathon how many miles does she have left
Answer:
6.6 miles she has to runStep-by-step explanation:
the marathon actual race distance is 26.2 now that Lin has already ran 19.6 miles so now we should subtract this two decimal numbers so that were get 6.6
What is the domain of f?
Answer:
Step-by-step explanation:
f(x) = x/(x-7)
The domain is C
7/(7-7) = 7/0 = undefined
Determine the value of x.
is it 20?
Answer:
X = 20
Step-by-step explanation:
The two angles are vertical.
62 = (2 + 3x)
60 = 3x
60/3 =
20
You were correct
Jo is pouring a driveway and he mixes cement and water in the correct ratio. X represents the cement and y represents the water. The graph includes (54,120) (108, 240) (162, 360) (216, 480). He says (63, 140) is included in the relationship of the graph. Is he correct?
Answer:
Yes.
Step-by-step explanation:
y/x = 2.22..... for all the 4 points given.
The graph is a straight line with slope 2.22....
140/63 = 2.2222... also so this is included in the realtionship
A prism is completely filled with 540 cubes that have edge length of 13 cm. What is the volume of the prism? Enter your answer in the box.
Answer:
vp=1186380cm^3
Step-by-step explanation:
Number of cubes =540length of one edge=13cm[tex]volume \: of \: a \: cube = {l}^{3} \\ v = {(13cm)}^{3} \\ = {2197cm}^{3} \\ [/tex][tex]volume \: of \: prism \: = volume \: of \: cube \: \times \: nuber \: of \: cubes \\ volume \: of \: prism = ( {2197cm}^{3} )(540) \\ = 1186380 {cm}^{3} = 1.1864 {m}^{3} [/tex]Answer:
Step-by-step explanation: hi it’
A rectangular prism and its net are shown below.
(All lengths are in yards.)
If the dimension of the rectangular prism will be 11 by 8 by 4. Then the volume of the rectangular prism will be 352 cubic yards.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
A rectangular prism and its net are shown below.
Then the volume of the rectangular prism will be
Volume = LWH
where
Width (W) = 8 yd
Length (L) = 11 yd
Height (H) = 4 yd
Then the volume will be
Volume = 11 × 8 × 4
Volume = 352 yd³
Then the volume of the rectangular prism will be 352 cubic yards.
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The cost of downloading a movie from a website is $4.99. Which equation can be used to find c, the cost in dollars of downloading n movies? A. c = 4.99 +n = B. n = 4.990 C. n = 4.99 +c D. c = = 4.99n
Answer:- The answer is letter B, c=1.75n
Step-by-step explanation: Hope this helps.
Arianna Hu has a family membership in her company's health insurance program. The total cost is $6,095 annually and her employer pays 75% of the total cost. She also pays the optional dental premium of $406.25 per year and the optional vision annual premium of $256.10. What is the total monthly premium for all her insurance?
complete this statement: A plolygon with all sides the same length is said to be
Answer:
it is said to be a regular polygon.
Step-by-step explanation:
A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.
Use unit price to decide which pizza deal is the better buy. Explain.
Deal A: 30 slices for $75
OR
Deal B: 18 slices for $48
please explain your answer!!
Answer:
1. 0.4
2. 0.375
Step-by-step explanation:
All you gotta do is find how much does it cost for each slice for example 30/75=0.4 and decide which one is better
Please help me with this Algebra I question.
Answer:
[tex]-\dfrac{b^2}{16a^4}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{(2a)^{-2}b^5}{-4a^2b^3}[/tex]
[tex]\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:[/tex]
[tex]\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}[/tex]
Separate the variables:
[tex]\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}[/tex]
[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}[/tex]
[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}[/tex]
[tex]\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]
[tex]\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]
Simplify:
[tex]\implies -\dfrac{b^2}{16a^4}[/tex]
FIND THE DOMAIN AND RANGE
Answer:
B
Step-by-step explanation:
Which of the following package deals is a better buy according to unit price?
$5.73 for 3 cans
$11.44 for 8 cans
$13.55 for 5 cans
$14.28 for 6 cans
Find the perimeter
simply Answer
The perimeter of the polygon of sides as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4 is 1227 /20.
What is the perimeter of the polygon?The perimeter of the polygon is the measure of the sum of the sides of the given figure.
The sides are given as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4
The perimeter of the polygon = 9/2 + 17/2 + 52/5 + 52/5 + 64/5 + 59/4
= 26/2 + 168/5 + 59/4
= 111/4 + 168/5
= 555 + 672 / 20
= 1227 /20
Thus, The perimeter of the polygon is 1227 /20.
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izzes
Two angles are complementary. The smaller angle is 24° less than the larger angle. Find the measures of
both angles.
Answer:
The bigger angle is 57 degrees
The smaller angle is 33 degrees
Step-by-step explanation:
complimentary is that two angles will add up to 90 degrees
Lets say one angle is x, and the other is y.
the smaller angle is x, so it is be x-24degrees
x+(x-24)=90
2x=114
x=57 degrees
y=33degrees
Javier loves flying kites. He flies his kite for 1 hour on Monday, 2 hours on Tuesday, 4 hours on Wednesday, and 3 hours on Thursday. How many more hours did Javier fly his kite on Wednesday and Thursday than Monday and Tuesday?
Answer:
4 more hours
Step-by-step explanation:
wednesday+thursday=7
monday+tuesday=3
7-3=4
5th grade pls help
Cy bought a laptop computer, a printer, and a router. Cy used a $35 coupon to make the purchase. He wrote (1,415.00 + 277.50 + 44.95) - 35 to show how he can calculate the final cost, not including sales tax. Write an expression that can be used to find the total price of the items he bought before sales tax and the coupon.
Answer:
1702.45
Step-by-step explanation:
your welcome
1737.45 coupon not included
the amount of water in a bottle is reduced by 85% to 120 millimeters. how much water was originally in the bottle?
A percentage is a way to describe a part of a whole. The amount of water in the bottle originally is 800 mm.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the water in the bottle at the very initial be x.
Given that after reduction the amount of water in the bottle is 120 millimetres, also, the water is reduced by 85%, therefore, the amount of water that will be in the bottle is 15% of the original.
Water in the bottle = 15% of x
120 mm = 0.15 × x
x = 800 mm
Hence, the amount of water in the bottle originally is 800 mm.
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