Answer: Mathematical distance is defined as the amount of space between two points. This distance can be calculated using the distance formula, which is just a derivation of the Pythagorean theorem, which is used to find the length of any one side of a right triangle when you know the other two sides
Step-by-step explanation:
4+7x=-10+5x please answer
X=-7
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The slope of AB is 2/3, A(1,-4) and B(-5,y). Solve for the value of y.
Answer:
y=5
Step-by-step explanation:
the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.
y=9-4(y coordinates of A)
=5
Can someone help me? Please I’m not great at math. Everything is in the pictures.
Answer:
Hi There
Your answers are:
4) 12/3
-10) YES!
0/10) 0 (zero)
2 & 3/4 ) 11/4
10 & 1/2 ) 21/2
.3) 3/10
-.16) -4/ 25
3.17) 3 & 17 /100
.3 repeating ) YES
.16 repeating) 1/ 6
-1.2 repeating ) YES!
If a decimal does not terminate or repeat is is not a rational number
Step-by-step explanation:
For 4)
4/1 = 12/x
Ask yourself, how do i get from 4 to 12?
Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!
4/1 * 3/3 = 12/3
For -10 )
-10/1 = -20/2
Simplify -20/2!
Divide -20 by 2 = -10
-10/1 = -10/1 YES!
For 0/10 )
When you have ZERO tenths, what does that equal? Zero!
For 2 & 3/4ths )
To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator
(2*4 +3) / 4
8+3 / 4 = 11/4
For 10 & 1/2 )
Repeat what you did for 2& 3/4ths!
(10*2+1)/2
20+1/2
21/2
John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?
Answer:
24
Step-by-step explanation:
13+11=24
Adding/Subtracting Rational Expressions
9514 1404 393
Answer:
(4x^2 +21x +18)/(3x^2 +34x -24)
Step-by-step explanation:
I find it helpful to keep in mind the form ...
a/b + c/d = (ad +bc)/(bd)
When we apply that to this case, we get ...
[tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]
What is the length of the hypotenuse of the triangle?
Answer:
It depends, you have to use the Pythagorean Theorem
explanation:
Answer:
If you have both legs, then you can use the PYTHAGOREAN THEOREM to find the value of the hypotenuse. a^2 + b^2 = c^2 ( a= leg, b = leg, c = hypotenuse)
Step-by-step explanation:
If you do not have a leg value, but you do have an angle measure, then you can use Sine or Cosine to find the hypotenuse. Sin = opposite/hypotenuse and Cos = adjacent/hypotenuse.
Let me know if you need further explaination!
pls help asap :(
solve for h
Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?
Answer:
x>$25000
Step-by-step explanation:
what is the value of n n+11=13
Answer:
n = 2
Step-by-step explanation:
[tex]n + 11 = 13[/tex]
Subtract 11 from both sides to isolate n.
[tex]n + 11 - 11 = 13 - 11[/tex]
[tex]n = 2[/tex]
Find the common ratio of the geometric sequence 18,-90,450,...
Answer:
try looking it up on socratic
Answer:
-5
Step-by-step explanation:
The common ratio is what you have to multiply one term by to get the next term.
so:
[tex]18 \times r = -90\\-90 \times r = 450[/tex]
where r is the common ratio
We can solve these equations:
-90 / 18 = -5
450/-90 = -5
therefore the common ratio is -5
A manufacturer of household washing machines wants to determine the effectiveness of the type of detergent used (three brands – A, B, and C) and the length of time for the washing cycle (18, 20, and 22 minutes). The manufacturer prepared 18 standard household laundry loads (having equal amounts of dirt and the same total weight) to conduct the study. The manufacturer randomly assigned two loads to each type of detergent, time combination. The researcher recorded the amount of dirt removed. Use a 5% significance level, for all hypothesis tests and confidence intervals. What is the alternative hypothesis for testing the interaction?
Answer:
Two-Factor ANOVA with replication
Step-by-step explanation:
Types of detergent used ( A,B,C ) = 3
Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins
number of laundry loads = 18
significance level = 5%
The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.
Solve the inequality.
negative 2 times left parenthesis 6 plus s right parenthesis is greater than or equal to negative 15 minus 2 s
You deposit $800 in an account that earns simple interest at an annual rate of 5%. How many years must you leave the money in the account to earn $100 in interest?
Answer value
Answer:
yduhegeggegeheygegeveheyegeveheuegeveve
Step-by-step explanation:
your very welcome
Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.
A box has a volume of 30 cubic cm. the box is filled with unit cubes, with no gaps or overlaps. each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height. how many unit cubes fill the box A:90
B:10
C:30
D:33
Answer:
C. 30.
Step-by-step explanation:
Each cube has a volume of 1 * 1* 1 = 1 cu cm.
The answer is 30 unit cubes because 30 *1 = 30.
The box is filled with 30 unit cubes.
The formula to calculate the volume of a cube: -For a cube with side length 'a' volume V is,
[tex]V=a^{3}[/tex] cubic units
In this question, a box has a volume of 30 cubic cm.
The box is filled with unit cubes, with each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height.
Let [tex]V_{s}[/tex] represents the volume of each unit cube and [tex]V[/tex] represent the volume of the box.
The length of each side of a unit cube is 1 cm.
So, [tex]V_{s}=(1)^{3}[/tex]
⇒ [tex]V_{s}=1[/tex] cubic cm
Let there are n unit cubes filled in the box.
⇒ [tex]V=n\times V_{s}[/tex]
⇒ [tex]30=n\times 1[/tex]
⇒[tex]n=30[/tex]
Therefore, 30 unit cubes are filled in the box.
Hence, option C. 30 is the correct answer.
Learn more about cube here:
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Evaluate y 2 -y 1 x 2 -x 1 given the following values x 1 =10,x 2 =0,y 1 =14 and y 2 =6
Answer: the answer is 2
Step-by-step explanation:
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How far would she travel in 1 minute?
Answer: She can travel a quarter of a mile in 1 minute.
Step-by-step explanation: In 8 mins she can bike 2 miles and if you split that in half then you can see she can bike 1 mile in 4 min then you can say ok well in 2 mins she can bike half a mile and just split that again and you have a Quarter of a mile in one Minute...
3 different numbers which are all equivalent to 10
Answer:
2 4 6
Step-by-step explanation:
Matthew filled up his with gas for a total of $22.54. He noticed he purchased 9.2 gallons of gas. What is the price of 1 gallon of gas?
Answer:
$2.45 per gallon
Step-by-step explanation:
Divide to find the answer:
22.54 / 9.2 = 2.45
Use the substitution method to solve the system of equations. Choose the correct ordered pair 2x+y= 10
y=x-5
(a) (5,0)
(b) (7,2)
(c) (9,-8)
(d) (8,-6)
Answer:
a (5,0)
Step-by-step explanation:
2x + y = 10 substitute y= x - 5 into that first equation
2x+(x-5)=10
2x+x-5=10
3x - 5 = 10
3x = 10 + 5
3x = 15
[tex] \frac{3x}{3} = \frac{15}{3} [/tex]
x=5
substitute the x into either the first or second equation
2(5) +y=10
10 + y = 10
y= 10 - 10
y = 0
therefore
x = 5 and y= 0
Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
Opvg
орла
Op-9
O p +9
[tex]p\longrightarrow q[/tex].
Hope this helps.
If p (x=4) then q (y=-2), the conditional statement is "p → q".
The correct option is C.
What is a conditional statement?A conditional statement is a sentence with the syntax "If p, then q." Here, the letters "p" stands for "hypothesis" and "q" for "conclusion."
The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".
The symbol for a conditional statement is "→".
Therefore, the answer is "p → q", which reads as "If p (x = 4) then q (y = -2)".
To learn more about the conditional statement;
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If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?
The table below shows four problems using decimals.
Problem
Problem
Number
1
2
3
How many grams are in 2.3 kilograms? Recall that there are 1000
grams in a kilogram.
How many 85-cent nutrition bars can Mary buy for $20.00?
How many quarts does Mike have to buy for a recipe that calls for
13.7 cups? Recall that there are 4 cups in a quart.
How many days will a trip take if it takes 152.45 hours? Recall that
there are 24 hours in a day.
4.
Which problem would be solved using multiplication, and what is the solution to the problem?
Problem 1 requires multiplication. There are 2300 grams in 2.3 kilograms.
Problem 2 requires multiplication. Mary can buy 23 nutrition bars.
Problem 3 requires multiplication. Mike has to buy 54.8 quarts for the recipe.
Problem 4 requires multiplication. The trip will take 3658.8 days.
Nark this and retum
Answer
The answer is A
Answer:
It is A. my friend
Step-by-step explanation:
114 = 3 (y + 18) what is the missing value
Answer:
y= 20
Step-by-step explanation:
114 = 3y + 54
114 - 54 = 3y
60 = 3y
y = 60 ÷ 3
y = 20
Write the value of the underline digit.
0.496 the underline number is 9
Answer:
0.090
Step-by-step explanation:
In the number 0.496, the number 9 is in the hundredths place.
0.496
The value of 9 in 0.496 is 9 hundredths, or 0.090.
Hope this helps.
Answer: 9 hundredths or 0.09
Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(
Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
Write an equation for the line that passes through (4, 5) and (6, 7).
|
Answer:
y=x+1
Step-by-step explanation:
The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1
Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3
Answer:
a) H1: µ < 7.5
Step-by-step explanation:
From the given information:
mean = 7.5
sample size = 50
sample mean = 9.3
The main task we are to carry out is to identify the correct alternative hypothesis:
Now to do that, let's state the null and the alternative hypothesis from the given study.
The null hypothesis can be computed as:
[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]
The alternative hypothesis can be computed as:
[tex]\mathbf{H_1: \mu < 7.5}[/tex]
Thus, this test hypothesis is a one-tailed test (left tailed).
Some students are planning to sell gourmet popcorn at a school fundraiser. They plan to offer cheese popcorn and peanut butter popcorn. The table shows the cost of the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
The students want to make and sell 100 containers of popcorn. They can spend at most $50 for the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
Answer : 5 Step-by-step explanation:
A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?
Answer:
r=16c
Step-by-step explanation
20-4=r
16=r