Answer:
-25/12
Step-by-step explanation:
Given expression:
[tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]
Open the parenthesis:
[tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]
[tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]
Make common denominators:
[tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]
[tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]
Subtract the fractions:
[tex]\implies \boxed{\dfrac{-25}{12}}[/tex]
Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.
(b, y) twice as much blue as yellow
(2, 1)
(4, 2)
(6, 3)
Part II: Analysis
5) How many seconds does the roller coaster last?
6) What is the roller coaster's starting height? How many seconds does it take the
roller coaster to reach maximum height?
7) Describe what the roller coaster is doing in the interval 7
8) Use your knowledge of function notation and piecewise functions to determine the
following:
a. f(10) =
i. Explain what this value means in real world context.
b. f(20) =
1. Explain what this value means in real world context.
c. If 16 seconds have passed since the roller coaster started, what is the height
of the roller coaster?
Bonus: When does the roller coaster reach 100 feet above the ground?
10 divided 20,then times mo 7 to 8
How much tax will be paid on an item with a 7.5% tax rate that is $1425.89? Round to the nearest cent and do not include a dollar sign
Answer:
1,616.00
Step-by-step explanation:
sorry if this is wrong
The tax on the item costs $1425.89 is 106.94175 dollars.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Given that, tax rate =7.5% and the cost of an item = $1425.89.
Here, tax = 7.5% of 1425.89
= 7.5/100 ×1425.89
= 0.075×1425.89
= $106.94175
Therefore, the tax on the item costs $1425.89 is 106.94175 dollars.
To learn more about the tax visit:
brainly.com/question/16423331.
#SPJ2
can someone explain this pls
brainliest
In order to qualify for letter sorting l, applicants are given a speed-reading test. The scores are normally distributed, with a mean of 80 and a standard deviation of 8. If only the top 15% of the applicants are selected, find the score needed to qualify
Using the normal distribution, it is found that the score needed to qualify is of 88.32.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 80[/tex] and [tex]\sigma = 8[/tex].
The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.04 = \frac{X - 80}{8}[/tex]
X - 80 = 1.04(8)
X = 88.32.
The score needed to qualify is of 88.32.
More can be learned about the normal distribution at https://brainly.com/question/24663213
The table below shows the number of people that attended a family reunion each year. (Need help ASAP)
The table of attendees in the family reunion is a linear regression
The equation of the line of best fit is y = 4.9x + 112186 attendees are expected in the 15th yearHow to draw the scatter plot?To do this, we represent the years on the x-axis and the attendees on the y-axis
See attachment for the scatter plot
The equation of the line of best fit?The scatter plot passes through the points
(0, 112) and (5, 136.5)
Start by calculating the slope, m using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (136.5 - 112)/(5 - 0)
m = 4.9
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 4.9 * (x - 0) + 112
y = 4.9x + 112
Hence, the equation of the line of best fit is y = 4.9x + 112
The attendees in the 15th yearThis means that x = 15.
So, we have:
y = 4.9 * 15 + 112
Evaluate
y = 186
Hence, 186 attendees are expected in the 15th year
Read more about regression at:
https://brainly.com/question/4341286
For his new room, Darien's grandmother gave him a handmade quilt. The quilt is made up of 16 squares set in 4 rows of 4. The area of each square is 324 in? What are the dimensions of the quilt in inches?
Answer:
5184 sq ins.
Step-by-step explanation:
There are 16 squares each of area 324,
so total area of the quilt = 324 * 16
= 5184 in^2.
A ten sided die is rolled.
P (3 or 5)
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
Which equation can be used to find the nth term of the sequence, an? 5, 20, 80, 320, 1280, ...
an=4⋅5n−1
an=1.25⋅4n−1
an=5⋅4n−1
an=4⋅1.25n−1
Answer:
C.) 5 * 4^n-1
Step-by-step explanation:
Use the given method you use for finding the sequence with the terms.
Also K12 moment.
If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer
Hope this helped despite being a little late!
A random number, x, is generated, where x is any real number.
(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.
Show that y = 20 + 8x - x?.
Step-by-step explanation:
Say that x = 1, since x can be any real number.
From part a -> x +2 = 3
and -> 10-x =9
then multiply the two results to get y -> 3x9 = 27
Now look at y=20+8x-x and plug in the same value for x where x = 1
you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.
What is the surface area of the rectangular prism shown below?
A. 348 in2
B. 174 in2
C. 432 in2
D. 336 in2
The surface area of a rectangular prism with sides 9 inches, 8 inches and 6 inches is 348 inches²
Surface area of a rectangular prismsurface area = 2(lw + lh + wh)
where
l = lengthw = widthh = heightTherefore,
l = 8 inches
w = 6 inches
h = 9 inches
surface area = 2((8 × 6) + (8 × 9) + (6 × 9))
surface area = 2((48) + (72) + (54))
surface area = 2 (174)
surface area = 348 inches²
learn more on surface area here:https://brainly.com/question/3008257
Answer:
its 348, give other person branliest
Step-by-step explanation:
help please if you can thanks!
Answer:
The last option 8.5
Step-by-step explanation:
hope it helps
The selling price of the Robertsons family house dropped from $500,000 to $250,000. What was the percent decrease in the value of their home?
( please solve, NOT in proportion please!! )
Answer:
50%
Step-by-step explanation:
You can literally do it mentally lol
$500,000
- $250,000
$250,000
so by common sense, it's 50%
Hope it helped!
Answer:
50%
Step-by-step explanation:
50% of the value of the house dropped.
So 50% of 500,000.
50 percent *500000 =( 50:100)*500000 =( 50*500000):100 =25000000:100 = 250000If bryan ate 3\8 of a pizza, and d'marjay ate 3\6 of the same pizza, who ate more pizza?
Answer:
d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more
Answer: 3/6
Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.
Using positive and negative integers, find four pairs of integers with a sum of 5.
Answer:
-8, 13
-3, 8
6, -1
10, - 5
Step-by-step explanation:
awarding 4 out of 50 minions a place in a dancing
competition.
solve:
The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.
How to solve the combination?From the information given, it can be noted that this involves a combination rather than permutation.
In this case, the number of ways to select 4 out of the 50 minions will be:
= 50! / (50-4)!4!
= 230300
Learn more about combinations on:
https://brainly.com/question/1216161
The volume of a cylinder is 256pi in3. and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answer:
9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
What is the third quartile of the 8, 9, 12, 14, 15?
Answer:
14.5
Step-by-step explanation:
Case 2
Q3 =
[tex]( \frac{3}{4} (n + 1 ) - \frac{1}{2} )th[/tex]
and
[tex]( \frac{3}{4} (n + 1) + \frac{1}{2} )th[/tex]
[tex] \frac{3}{4} (5 + 1) - \frac{1}{2} = 4th \: = 14[/tex]
[tex] \frac{3}{4} (5 + 1) + \frac{1}{2} = 5th = 15[/tex]
[tex] \frac{14 + 15}{2} = 14.5[/tex]
given ab and ac are lines that are tangent to the circle with m
Answer:
B
Step-by-step explanation:
the opposite angles of the quadrilateral ABDC are supplementary , that is
∠ BDC + 40° = 180° ( subtract 40° from both sides )
∠ BDC = 140°
Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop
Answer:
total 1 hour 15 mins
Step-by-step explanation:
3:45 - 5:00
lets count one by one
3:45 - 4:00 = 15 mins
4:00 - 5:00 = 1 hour
total 1 hour 15 mins
Two pens and one eraser cost $35 and three pens and four erasers cost $65. Find the cost of the pencil and eraser separately.
Answer:
Pencil is $15 and erasers are $5
what is (1/4)^2x+3=2^5x+4
find the value of x?
Answer:
[tex] x = - \frac{10}{9} [/tex]
Three baseball players are playing catch. Rosanne is 6.4 meters south of Lillian and 5.2
meters west of Jenna. How far does Lillian need to throw the ball to get it to Jenna? If
necessary, round to the nearest tenth.
meters
Submit
Answer:
8.2 meters
Step-by-step explanation:
This problem will form a Right angle triangle.
Where;
6.4 m and 5.2 m are the adjacent and opposite sides of the triangle while the distance that Lillian needs to throw the ball to get it to Jenna is the hypotenuse of the right angle triangle. Thus;
h = √(6.4² + 5.2²)
h = √68
h = 8.2
Help me. The questions are attached
Step-by-step explanation:
16.
x = Xien's age
2 + x/2 = 11
x/2 = 9
x = 18
so, Xien is 18 years old.
17.
4x - 5 = 7
first dividing everything by 4 is not a mistake. I would have done it as second step simply to avoid dealing with the fractions. but it works either way.
so, his way :
4x/4 - 5/4 = 7/4
4x/4 = 12/4
x = 3
my way
4x - 5 = 7
4x = 12
x = 3
the picture below is my question please hurry
Answer:
B) 70 °
Step-by-step explanation:
Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:
m ∠ AOB = 2 · x (1)
Where x is the measure of angle BOC, in degrees.
And the measure of the angle AOC is: ( x= 70°)
∠ AOC = 70°
Which object would weigh closest to 1 ton?
Answer:
The answer is 73 billion bars of gold
I believe it would be a car
this is from gradpoint, please help me y’all :((
Answer if im not misstaken its no
Step-by-step explanation:
because ur working with fractions they dont = the same thing. lmk if im wrong
Answer:
No, these functions fail to be inverses of each other.
Step-by-step explanation:
We have two functions :
f(x) = 3x + 2g(x) = [tex]\frac{x-2}{3}[/tex]Let's take the function f(x) and take x = 1.
f(1) = 3(1) + 2f(1) = 5 [Keep this in mind]If f(1) is 5, then if g(x) is an inverse function, g(1) should be [tex]\frac{1}{5}[/tex]Let's try the same with g(x).
g(1) = [tex]\frac{1-2}{3}[/tex]g(1) = [tex]-\frac{1}{3}[/tex]Clearly, they are not inverse functions of each other.
I don't get this I need help?
Answer: 864
Step-by-step explanation:
The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.
Solve for x to the nearest tenth!
Step-by-step explanation:
REFER TO THE ATTACHMENT!!
HOPE IT WILL HELP YOU
Answer:
my answer is 11.4
Step-by-step explanation:
solve for the first triangle which has both sides then solve the other
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate everyday. The cost of the job is in the chart below.
Which of the following equations, where “h” represents hours worked and “p” the amount paid in dollars, represent an hourly pay rate that is Greater than the painter’s hourly rate?
Day 1: 5 hours worked; Paid $300
Day 2: 4 hours worked; Paid $240
Day 3: 6 hours worked; Paid $360
Choose all answers that apply:
A) P=6.5h
B) P=50h
C) P=65h
D) P=70h
Answer:
a is the answer
Step-by-step explanation: