2. Find the distance between (-2,1) and (3,4).
Answer:
[tex]\sqrt{34}[/tex] or 5.83095
Step-by-step explanation:
Use the distance formula [tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^2 }[/tex]
Make sure to round the answer appropriately if not asked for in square root form!!
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
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).
5. If you receive 24% off of a $100.00 item, what is the final price of the item?
A. $0.24
Answer:
24% of 100 is 24 meaning you subtract 24 to 100. Giving you $76 as the final price.
Step-by-step explanation:
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.
Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same price. Kylie spends a total of $59
Identify which equation models this situation.
a.3x+7=59
b.3x+7y=59
c.3x+7x=59
d.7x+3=59
Answer:
b 3x +7y =59
Step-by-step explanation:
x is water balloons at 3 each and y is t-shirts at 7$ each.
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:
Solve the inequality.
negative 2 times left parenthesis 6 plus s right parenthesis is greater than or equal to negative 15 minus 2 s
Write an equation of a line parallel to the line below in point-stope form that passes through the point (-1,5).
y = 1/4x - 6
y + 1 = - 4(x - 5)
y + 1 = 1/4(x - 5)
y - 5 = 1/4(x + 1)
y- 5 = - 4(x + 1)
How is dividing and multiplying with an area model similar and How is it different?
Answer:
In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.
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]
What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?
Super easy math question pls help
Answer:
Thanks
Step-by-step explanation
6(9)+6(7)
also, 18(3)+14(3)
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...
50 POINTS SOLVE !! ::
pls actually solve it thank you <3
k-4 /9 =3
8+b /-4 = -5
Answer:
k = 31/9b = 12Step-by-step explanation:
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
k = 31/9
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
a metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0<= x <= 3 and the x, y in cm
a) find the total mass of the plate
mass =
b) sketch the plate. using your sketch, is x less than or greater than 3/2?
c) find x
x =
Answer:
a) 45 g
b) greater (make the graph youself on desmos or something)
c) 9/4
Step-by-step explanation:
area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9
mass = density * area = 5 * 9 = 45 grams
area = y*deltax = x^2*deltax
x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4
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
Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)
Answer: y - 3 = -1/5(x+5)
Step-by-step explanation:
Hope this helps
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°
.
Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20
Answer:
C (3x4) + (5x2) + 20
Step-by-step explanation:
3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.
Which expression shows the ASSOCIATIVE PROPERTY?
3 + a + b = a + 3 + b
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
3 - a = 3 - b
Answer:
the first one
Step-by-step explanation:
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
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]
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:
https://brainly.com/question/11168779
#SPJ2
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
Please help its vocab matching
Answer:
1. S
2. G
3. I
4. O
5. P
6. D
7. C
8. F
9. J
10. Q
11. E
12. K
13. R
14. A
15. B
16. N
17. M
18. L
19. H
Step-by-step explanation:
4. O
→ 3 is a coefficient of 3x
5. P
→ 3 is a common factor in the expression 3x+9
6. D
→example of a constant term is 1,3,10
7. C
→ [tex]cosx=\frac{adjacent}{hypotenuse} =\frac{A}{H}[/tex]
8. F
→[tex]x^{2} -4[/tex] will be factorised as (x-2)(x+2)
9. J
→ example of an expression is [tex]2x+9[/tex]
10. Q
→ factors of 3 are 3×1.
11. E
→ example of factoring is [tex](x+2)(3x+4)[/tex]
12. K
→ example of a factored completely is [tex]2x(x+y)[/tex]
14. A
→example of a polynomial is [tex]3yx^{3} +xy^{2} -2x+9[/tex].
15. B
→ example of a quadratic expression is [tex]x^{2} +6x-9[/tex].
17. M
→ [tex]sinx=\frac{opposite}{hypotenuse} =\frac{O}{H}[/tex]
18. L
→ [tex]tanx=\frac{opposite}{adjacent} =\frac{O}{A}[/tex]
19. H
→ example of a term is 2x,3,40
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
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
4+7x=-10+5x please answer
X=-7
---------------------------------------------------------
i rly have no idea what this one is
Answer:
x = 11, y = 17
Step-by-step explanation:
Set the equations equal to each other. Since the vertical angles are congruent, 8x + 7 = 9x - 4 and 5y = 7y - 34. Now, solve your equations for the x and y values.
8x + 7 = 9x - 4
x = 11
5y = 7y - 34
2y = 34
y = 17
