Answer:
Slope = 2.3332
Interpretation: As increases by 1 unit, y increases by 2.332 units
Step-by-step explanation:
Equation of a line in slope-intercept form is
y = mx + b
where m = slope and b = y-intercept
Comparing y=-2.3332x+123.98 to the standard equation form we get
m = 2.3332
b = 123.98
Slope is rise/run
It tells you the change in y-value for a unit change in x-value
Here 2.332 can be interpreted to mean that as x changes by +1 value, y changes by + 2.332
You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club
Event C has ____ outcome(s)
The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13
In this question, we have been given an event of a random experiment.
You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.
We need to find the total number of outcomes for event C.
Number of cards in a deck = 52
We know that, the number of club cards in the standard deck of cards = 13
Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13
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There are 10 marbles. What is the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw?
Answer: 1/10
Step-by-step explanation:
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes. f of x equals one fourth x plus 4 f of x equals negative one tenth x plus 4 f of x equals one tenth x plus 10 f of x equals negative one fourth x plus 10
Answer:
in 40 minutes the man runs 10 kilometer
Answer:
I think its
f(x) = 1/10x + 10
Whatis the sum and classicalion of 3/20 + /10
Answer:
13 /20
Step-by-step explanation:
tou need to find LCM and do the process by your own
A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five-sixths of my cats plus six"
How many cats does the nemesis have?
What number can be divided into 2 equal groups without a remainder?
Answer:
Step-by-step explanation:
When we divide one number by another and there is no remainder, the divisor A the quotient are the of the first number.
8/2=4
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.
The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
First, place a point on the graph representing the solution to the system of equations. Notice that one of the equations in the system has already been graphed.
Then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.
The approximate number of guests that were children are 172 and adults are 278
How to determine the approximate number of guests that were children and adults for that day?From the complete question, we have the following system of equations
25x + 12y = 9014
x + y = 450
Make y the subject in x + y = 450
y = 450 -x
Substitute y = 450 - x in 25x + 12y = 9014
25x + 12(450 - x) = 9014
Expand the expression
25x + 5400 - 12x = 9014
Evaluate the like terms
13x = 3614
Divide both sides by 12
x = 278
Substitute x = 278 in y = 450 -x
y = 450 - 278
Evaluate
y = 172
Hence, the approximate number of guests that were children are 172 and adults are 278
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evaluate 2pq - r for p = 3, q = 2 and r = 5
Answer:
7
Step-by-step explanation:
[tex]2 \times p \times q - r\\= 2 \times 3 \times 2 - 5\\= 2 \times 3\\= 6\\= 6 \times 2\\= 12\\= 12 - 5\\= 7[/tex]
Find the value of x.
to
75°
125°
x =
Answer:
USE AIR MATH!!
Step-by-step explanation:
hope that helps
What is the area of FGH? (Please help it’s due tmrw !! I’ll mark you brainliest)
Answer:
102.0625 square units
Step-by-step explanation:
First determine the length of each side using the distance formula for two points. Then use Heron's formula to determine the area of a triangle given three sides
Distance Formula
The distance between two points is the length of the path connecting them
The distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
Let's compute the lengths of the sides FH, FG and HG
The three vertices are F(-2, 5) G(7, -10) and H(-9, -6) as indicated on the graph
So length FG between (-2,5) and (7,-10)
[tex]FG= \sqrt {(7 - (-2))^2 + (-10 - 5)^2}[/tex]
[tex]= \sqrt {(9)^2 + (-15)^2}[/tex]
[tex]= \sqrt {{81} + {225}}[/tex]
[tex]= \sqrt {306}[/tex]
FG [tex]= 17.492856[/tex] (round to 17.5)
Length FH between(-2,5) and (-9, -6) is
[tex]FH = \sqrt {(-9 - (-2))^2 + (-6 - 5)^2}[/tex]
[tex]= \sqrt {(-7)^2 + (-11)^2}[/tex]
[tex]= \sqrt {{49} + {121}}[/tex]
[tex]= \sqrt {170}[/tex]
FH [tex]= 13.038405[/tex] (can be rounded to 13.04
Length GH between (7, -10) and (-9, -6) is
[tex]GH = \sqrt {(-9 - 7)^2 + (-6 - (-10))^2}[/tex]
[tex]= \sqrt {(-16)^2 + (4)^2}[/tex]
[tex]= \sqrt {{256} + {16}}[/tex]
[tex]= \sqrt {272}[/tex]
GH [tex]= 16.492423[/tex] (can be rounded to 16.5)
Determining the area of a triangle given 3 sides
Heron's formula allows us to find the area of a triangle given 3 sides If the sides are a, b and c the general form of Heron's formula is
[tex]Area = \sqrt {s(s-a)(s-b)(s-c)}[/tex]
where s is the semi-perimeter = [tex]\frac{a+b+c}{2}[/tex]
Substituting values we get
s = [tex]\frac{17.5+13.04+16.5}{2} = 23.52[/tex]
[tex]Area = \sqrt {23.52(23.52-17.5)(23.52-13.04)(23.52-16.5)}[/tex]
[tex]= \sqrt{23.52\cdot6.02\cdot10.48\cdot7.02}[/tex]
[tex]102.0625[/tex] square units
How many ways can 6 toppings be put on a pizza?
Answer:
1 because their Is only one way to do it
Can someone please help me Write the ordered pair for each
letter on the graph
The ordered pair for each letter on the graph would be A at (2, 4), B at (-1, 2), C at (-3, -2), D at (2, 0), E at (0, 4), and F at (5, -5).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
As per the given graph,
The coordinates of point A would be (2, 4)
The coordinates of point B would be (-1, 2)
The coordinates of point C would be (-3, -2)
The coordinates of point D would be (2, 0)
The coordinates of point E would be (0, 4)
The coordinates of point F would be (5, -5)
Therefore, the ordered pair for each letter on the graph would be A at (2, 4), B at (-1, 2), C at (-3, -2), D at (2, 0), E at (0, 4), and F at (5, -5).
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reflection across y = -x please I need help I will mark you brainless
I NEED HELP PLS SOMEONE
1. 15/4 written as a decimal is 3.75
2. 5/6 written as a decimal is 0.83(repeating 3)
3. 11/3 written as a decimal is 3.6(repeating 6)
Division operationFrom the question, we are to write each fraction as a decimal
1. 15/4
3.75
4)15.00
-12
3.0
-28
20
-20
0
15/4 written as a decimal is 3.75
2. 5/6
0.833
6)5.00
-48
20
-18
20
-18
2
5/6 written as a decimal is 0.83(repeating 3)
3. 11/3
3.66
3)11.00
- 9
20
-18
20
-18
2
11/3 written as a decimal is 3.6(repeating 6)
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Identify the errors made in finding the inverse of
y = x- + 12x.
x = y2+ 12x
y?=x-12x
y2=-11x
y=V-11x, for x 2 0
Describe the three errors.
The following mistakes were made in the solution of the inverse function:
There is an incorrect swap between the variables y and x.The ± sign should be included in the square root.The domain of the function is incorrect because the radicand can only have a real value if x is less than 0.What are inverse functions?The original value for which the function's output was provided is returned by the inverse function.F and G are inverse in terms of functions, with f(g(x)) = g(f(x)) = x.The initial value is returned by a function that is its inverse. The inverse of f is then g(y) = (y-5)/2 = x. (x).Therefore, the first error is caused by the incorrect variable swap.
The correct expression is:
x = y² + 12yThe following error is:
y = √-11xThe correct expression:
y = ± √-11xFinally, the domain is incorrect.
Because if x is 0 or positive, y = -11x has no true value.As a result, the following errors were made in the inverse function solution:
There is an incorrect swap between the variables y and x.The ± sign should be included in the square root.The domain of the function is incorrect because the radicand can only have a real value if x is less than 0.Know more about inverse functions here:
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The correct question is given below:
Identify the errors made in finding the inverse of y = x2 + 12x.
Describe the three errors.
Math is hard, math be hard, hard be math, math math math
Answer:
math BE hard hard hard hard
Answer:
Math is actually easy for me. I started going into 7th grade when I was in 6th grade and it was just a month after school started.
Step-by-step explanation:
I guess you guys need help. Everyone needs help sometimes and I get it. So math is easy for me but It might be hard for you. I'm out.
the mean weight of a group of 15 boys is 65 kg . one boy joins the group and his weight is 45 kg . what is the average weight of all the boys
I need the answer within 2 to 3 days!
Answer:
The new average is
63.75kg
Step-by-step explanation:
We have 15 boys with avg. weight of 65kg. That means that the sum of their weights is:
15*65kg = 975kg
We add a boy weighing 45kg. The new sum is
975kg + 45kg = 1020kg
To get the new average, we need to divide by the number of boys. It's no longer 15, because we've added one. It's now 16
avg_weight = 1020kg / 16 = 63.75kg
Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answer:
A. 5,420
Step-by-step explanation:
4 in 542 is in the tens place and 4 in 5,420 is in the hundreds.
The number A. 5420 has a 4 that is 10 times greater than the 4 in 542.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
The expanded form of 542 is 5×100 + 4×10 + 4.
So, 10 times greater than it should be a multiple of 100 or a digit in the hundreds place.
From the given options the number 5420 in the expanded form is,
5×1000 + 4×100 + 2×10 + 0.
So, The number 5420 has a 4 that is 10 times greater than the 4 in 542.
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The value of a phone when it was purchased was $500. It loses 1/5 of its value a year. What is the value of the phone after 1 year, 2 years, and 3 years?
Answer:
$200
Step-by-step explanation:
1/5 of 500 is 100 because 5 100s equal 500. so 3 years is 300. 500-300=200
Which may be a cost of inflation?
Higher prices
Consumer panic
Higher pay for workers
Increased business profits
Answer:
consumer panic
Step-by-step explanation:
If 2log(x-y)=log x+log y,prove that 2 log(x+y)=log 5+log x+log
Let us understand the properties of Logarithms. In mathematics Logarithms are the inverse of exponential function. In the simplest case, the logarithm counts the number of times same factor in present in a repeated multiplication.
Logarithm of base 10 is also known as common logarithm.Logarithm of base e is called natural logarithm also written as( [tex]ln[/tex])A logarithm of a number 'x' to a base 'y' is defined as:
[tex]log_y^x=z (y > 0)[/tex]
which represents [tex]y^{z} =x[/tex]
According to the properties of Logarithm :
Product Law: [tex]log (a)+log(b)=log(ab)[/tex]Quotient Law: [tex]log (a)-log(b)=log(\frac{a}{b} )[/tex]Power Law: [tex]alog (x)=log(x)^{a}[/tex]Now let us solve the given problem:
[tex]2 log (x-y)=log x+ log y\\or,log(x-y)^2=log(xy)\\or,log(x^2+2xy+y^2)=log(xy)[/tex]
[tex]or,x^{2} +2xy+y^{2}=xy\\[/tex] ( taking anti-logarithms on both sides)
[tex]or,x^{2}+y^{2}=xy+2xy[/tex]
Now let us use the above equation to solve
Left Hand Side:
[tex]2 log(x+y)\\=log(x+y)^2\\=log(x^{2} +2xy+y^{2} )\\=log(x^2+y^2+2xy)\\=log(xy+2xy+2xy)\\=log(5xy)\\=log(5)+log(x)+log(y)[/tex]
=Right Hand side
Hence the statement is proved by using the properties of logarithm.
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You want to put a 2 inch thick layer of topsoil for a new 25 ft by 34 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
the answer is d just did it
In a bag of mixed nuts, 46% were peanuts, 0.16 were cashews, and 56 out of the 150 nuts were almonds. Select the statements that are true, based
on the information above. Select all that apply.
A. 16 of the nuts cashews
B. 1/6 of the nuts were cashews
C.69 of the nuts were peanuts
D.25 of nuts were cashews
Which expression has the greatest absolute value?
Answer:
3 because everything is minus
Find the quotient of 32×10-22 over 8×10-22
Answer:
5 4/29
Step-by-step explanation:
Rewrite as 298/58 and do the math
rita had 300$. she spent 1/3 of her money on notebook and 1/4 on stationary items how much money is left with her?
with statement and explanation pls.
Rita is left with $25
How to calculate the amount of money left ?Rita has $300
She spent 1/3 of the money on notebook
= 1/3 × 300
= 100
Rita also spent 1/4 of the money on stationary item
1/4 × 100
= 25
Hence Rita is left with $25
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4/5 + 1/2 - 1/3 in simplest form
Answer: 24/25
The answer to the question is 0.96, 0.96 in simplest form is 24/25
A cone has a volume of 9 pi in cubed and a diameter of 6 in . Wilson states that a cylinder
Answer:
ok then what's the correct answer?
Step-by-step explanation:
X,Y, and Z are collinear points on the same segment, and Y is between X and Z. If XY = 11 and XZ = 13, use the
Segment Addition Postulate to find YZ.
Answer: X, Y, Z are collinear points on the same segment, Then YZ=2.
Step-by-step explanation:
Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.
X, Y, Z are collinear points on the same segment, and Y is between X and Z.
As given Y is between X and Z
We can write,: YZ+XY=XZ
If, XY=11
XZ=13
Replace XY and XZ values in above equation
So, YZ+XY=XZ
YZ+11=13
Solve to get, YZ=13-11
YZ=2
So, X, Y, Z are collinear points on the same segment, and Y is between X and Z, use the segment addition postulate, then YZ=2.
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please help question is in picture
Answer:
It is the second answer [tex]3^{8} b^{10}[/tex]
Step-by-step explanation:
This is easier to understand if you write it out in expanded form.
[tex](3^{4} b^{5}) ^{2}[/tex] means
[tex](3^{4} b^{5})[/tex][tex](3^{4}b^{5)}[/tex] We do this twice because that is what the exponent tells us to do that is outside of the parentheses.
Now write this out in expanded form and we will have
(3x3x3x3xbxbxbxbxb)(3x3x3x3xbxbxbxbxb) If we put all of the 3's and b's together we get
3x3x3x3x3x3x3x3xbxbxbxbxbxbxbxbxbxb
[tex]3^{8} b^{10}[/tex]
the power of powers principle tells us that when we have an exponent raised to an exponent, we multiple the exponents. (4 x 2 = 8 and 5 x 2 = 10)