Answer:
31
Step-by-step explanation:
First put your numbers in order
44 , 64 , 68 , 68 , 68 , 70 , 72 , 74 ,
Then subtract the Highest and Lowest numbers by each other
75 - 44 = 31
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
answer:
148ft²
explanation:
to solve this problem, we must set up a proportion.
[tex]\frac{side (L)}{area(L)} = \frac{side(S)}{area(S)} \\\frac{15}{185} = \frac{12}{x}[/tex]
15x=2220
x=148ft²
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The equation is:
Answer: the number of labor was :
Answer:
equation: 1368 = 380 +52xlabor hours: 19Step-by-step explanation:
The desired equation will relate labor cost, parts cost, and total cost.
A.The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.
total cost = part cost + (labor rate)(labor hours)
1368 = 380 + 52x
__
B.This equation can be solved in 2 steps:
988 = 52x . . . . . . . step 1, subtract 380 from both sides
19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x
The number of labor hours was 19.
PLS HELP OMG I CANT FIND IT
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Fix)
X
0-9
10
k= -3
k = 3
k = 5
k = 8
graph below pls help
Answer:
(d) k = 8
Step-by-step explanation:
The value k in the equation ...
g(x) = f(x) +k
represents a vertical translation by k units.
__
The vertex coordinates for f(x) and g(x) are ...
f(x): vertex = (-3, -3)
g(x): vertex = (-3, 5)
This means ...
f(-3) = -3
g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8
_____
Additional comment
Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.
For a period of time, an island’s population grows at a rate proportional to its population. If the growth rate is 4.5% per year and the current population is 1500, what will the population be 6 years from now
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
How to solve an exponential function
Let y represent the population after x years.
Given that the growth rate is 4.5% per year and the current population is 1500.
Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045
y = 1500(1.045)ˣ
After 6 years:
y = 1500(1.045)⁶ = 1953
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
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Solve the system using elimination.
2x – 2y = –8
x + 2y = –1
(–3, 1)
(–14, 1)
(0, 4)
(1, 5)
Answer:
(- 3, 1 )
Step-by-step explanation:
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
adding the 2 equations term by term will eliminate y
3x + 0 = - 9
3x = - 9 ( divide both sides by 3 )
x = - 3
substitute x = - 3 into either of the 2 equations and solve for y
substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
solution is (- 3, 1 )
Answer:
(–3, 1)
Step-by-step explanation:
Step 1: Solve for x
2x – 2y = –8 -----------(1)
x + 2y = –1. -------------(2)
Add equation 1 to 2⇒2x + x| -2y + 2y |= -8 -1
⇒3x = -9
Divide both side by the coefficient of x⇒3x/3 = -9/3
⇒x = -3
Step 2; Solve for y
Substitute into equation 2x + 2y = –1
(-3) + 2y = -1
Add 3 from both sides-3 + 2y + 3 = -1 + 3
2y = 2
divide both side by two2y/2 = 2/2
y = 1
So, ( x,y) ⇒(-3,1)
What is the value of the expression (6 + 3)2
15
18
45
81
Answer:
Probably 81.
Maybe 18.
See explanation below.
Step-by-step explanation:
(6 + 3)² = 9² = 9 × 9 = 81
(6 + 3) × 2 = 9 × 2 = 18
I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.
A very slow man walks
20 cm.in 0.5 left, what his
velocity in meter per second?
At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?
Which term best describes vthe figure shown below
Answer:
Line LM
Step-by-step explanation:
A ray has a point at one end, this figure does not.
A line goes out forever in both ends, this is shown by the two arrows. Line LM describes this figure.
Points LM are going to be two separate points, this figure does not have points.
Plane LM will have three points to show a plane, this is a single line.
Using these definitions and facts we know, we can figure out this is best described as Line LM.
Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 Coin heads H-1 H-2 H-3 H-5 H-6 tails T-1 T-3 T-4 T-5 The size of the sample space is .
The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Sample space is the set of all possible outcome the considered random experiment can result to.
Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.
We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.
Ella rolls a die and then flips a coin.
The sample space for this compound event is represented in the table (H is heads and T is tails).
Die 1 2 3 4 5 6
Coin: heads H-1 H-2 H-3 H-5 H-6
tails T-1 T-3 T-4 T-5
Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }
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Answer:
hope this works for you
Step-by-step explanation:
Please the answer ... Integral
Answer:
[tex]\frac{dx^{2} (x+1)S^{2} }{2(x^{2} +6x+3)^{2} }+ C[/tex]
Step-by-step explanation:
The function h(x) is a transformation of the square root parent function, f(x) = pi x. What function is h(x)?
Answer:
A
Step-by-step explanation:
you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.
Hope that helps
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
This is a spinner for a game board. color the spinner to show 20% chance of black and 80% chance of red.
Answer:
Step-by-step explanation:
Divide the circle into 10 parts and color 2 parts black and 8 parts red.
If 12Kg of chicken feed cost 20 how much would 5kg cost?
and what is the unit rate? ( price per 1 kg)
Step-by-step explanation:
if you 12kg cost 20 what about 5kg that will be 5kg×20÷12kg= 8.33 when you round of to the nearest hundredth this is the price of 5kg
sorry but i dont think i know how to answer the other question i have done what i only know thankyou
in the figure d||m. what is the value of x?
Step-by-step explanation:
2X - 20 =86 ( Alternate angles are equal)
2X = 86 - 20
2X = 66
X = 33
Please Help ASAP (show work if you want its not needed i just need the answer)
[tex] \cos(60) = \frac{12}{x} \\ [/tex]
[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]
[tex]x = 24[/tex]
_____________________________________________
[tex] \sin(60) = \frac{y}{x} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]
[tex]y = 12 \sqrt{3} [/tex]
what is the third quartile of the following data set? 24,20,35,43,28,42,25,29,44,21,37
Answer:42 is the third quartile
Step-by-step explanation:
1. There are 1,200 students at Woodland Hills Elementary. Approximately 600 of
the students take the bus home. 50% of the students that do not take the bus
ride their bicycles home. Approximately how many students ride their bicycles
home?
A 100
B 200
С 300
D 400
E 500
1,200 divide by 600 = 2 students
2 students multiply by 50% is 100 students.
So, approximately 100 students ride their bicycles home.
(If not correctly, I am truly sorry)
Determine the values of k for which the function f(x) = 4x^2-3x + 2kx + 1 has two zeros. Check these values in the original equation.
k must be greater than or equal to 22.75 to have two different zeros.
How to determine the value of missing coefficient in second order polynomials
Second order polynomials are algebraic expressions that observe the following form:
[tex]p(x) = a\cdot x^2 + b\cdot x + c[/tex] (1)
Where:
a, b, c - Coefficientsx - Independent variableFor polynomials of the form p(x) = 0, we can infer the nature of their roots by applying the following discriminant:
d = b² - 4 · a · c (2)
According to (2), there are three cases:
If d < 0, then there are two conjugated complex roots.If d = 0, then the two roots are the same real number.If d > 0, then the two roots are two distinct real numbers.Now we have the following discriminant case:
-(3 + 2 · k)² - 4 · (1) · (4) ≠ 0
-(9 + 6 · k + 4 · k²) - 16 ≠ 0
-9 - 6 · k - 4 · k² - 16 ≠ 0
4 · k²+ 6 · k +25 ≠ 0
This characteristic polynomial has two conjugated complex roots, then we conclude that all values of k must positive or negative, but never zero. By graphng tools we find that k must be greater than or equal to 22.75 to have two different zeros.
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Two red and two blue blocks are
placed into a bag. You randomly
take one block out of the bag. If
you replace the block each time,
how many red blocks would
you expect to take out if you try
8 times?
Answer:
1/3
Step-by-step explanation:
Probability of an Event = Number of Favorable Outcomes/Total Number of Possible Outcomes
4
Ms. Thorson bought a piece of lace that was 3 feet long. She cuts off as many pieces as possible that are 9 inches long. Will Ms. Thorson have any lace left over? Show and explain your work.
Answer:
No
Step-by-step explanation:
1 foot = 12 in.
3 feet = 36 in.
36 / 9 is 4
4 is an integer
Therefore, none will be left
Answer:
No , there will not be any piece left
Step-by-step explanation:
No of feet :- 3 feet which is 36 inches
If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch
36/9 :- 4
4 is complete no. , so there wouldn't be any piece left .
Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x represents the number of hours walked. How many hours must Wesley walk to travel 16.5 miles?
16.5/3 = 5.5
Step-by-step explanation:
becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)
you need to devide distance by speed to get time.
Find the equation of the line that goes to the point (8,-8) that is perpendicular to the line with the equation of y=2/7 x - 26
Step-by-step explanation:
line equation
y = ax + b
a is the slope, b is the y-intercept.
a slope perpendicular to another slope flips x and y upside down and flips the sign.
so, the slope perpendicular to 2/7 is -7/2.
so, our desires line function looks like
y = -7/2 × x + b
to get b we use the given point (and it's x and y coordinates = values).
-8 = -7/2 × 8 + b = -7×4 + b = -28 + b
b = 20
so, the full line equation is
y = -7/2 × x + 20
What is the area of the figure shown delow?
Answer:
160mm2 is the correct answer
Step-by-step explanation:
I need help for this one.
Answer:
D. 48 feet
Step-by-step explanation:
Ladder (50 ft) = hypotenuse
Floor distance (14 ft) = b
Wall (unknown) = a
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+14^2=50^2[/tex]
[tex]a^2+196=2500[/tex]
[tex]a^2=2500-196[/tex]
[tex]a=\sqrt{2304}[/tex]
[tex]a=48[/tex]
Hope this helps!
Answer:
48 feet
Step-by-step explanation:
Here,
c = 50 ft
b = 14 ft
To find : the height of the wall that the ladder reaches ( a ) = ?
Formula : -
a² + b² = c²
a² = c² - b²
= 50² - 14²
= ( 50 x 50 ) - ( 14 x 14 )
= 2500 - 196
= 2304
= 48 x 48
a² = 48²
a = 48 feet
1. Tom rides his bike 6_1/4 miles round trip to work. He works 2 days each
week. How far will Tom ride his bike to and from work in 5 weeks?
⚫️31_1/4 miles
⚫️62_1/2 miles
⚫️12_1/2 miles
⚫️62 miles
Answer:
B. 62 1/2
Step-by-step explanation:
Can anyone help me on this question?
Joey has completed a portion of his weekend chores. This portion is represented by the point on the number line below. What percentage is represented by the point on the number line?
A. 12.5%
B. 60%
C. 75%
D. 80%
Answer:
C - 75%
Step-by-step explanation:
6/8 = 75%
Carrie uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Carrie needs to keep track of how many selfies she takes.
There is a proportional relationship between the number of selfies Carrie takes, x, and the amount of storage (in megabytes) she uses taking selfies, y.
x (selfies) y (megabytes)
10 20
12 24
21 42
22 44
Write an equation for the relationship between x and y. Simplify any fractions.
y=
Explanation:
A direct proportion is of the form y = kx
To find k, pick any row to divide the y over x value
k = y/x = 20/10 = 2k = y/x = 24/12 = 2k = y/x = 42/21 = 2k = y/x = 44/22 = 2No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.
Therefore, we go from y = kx to y = 2x