Answer:
x^2+10x+16
Step-by-step explanation:
Plug in the values
h=x+8
b=2x+4
A=1/2(2x+4)(x+8)
A=(x+2)(x+8)
FOIL: x^2+8x+2x+16
A=x^2+10x+16
Please help me I’m struggling
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and used the shaded columns to calculate three sample means. What is the range of the values for the sample means?
Hours of Swim Practice
4
5
3
6
3
8
3
5
4
7
6
2
4
5
3
5
2
3
4
6
1
2
3.75
4.75
Answer: B
Step-by-step explanation:
took test :)
Answer:
The answer is B
Step-by-step explanation:
2
Conver 0.5 and 3/4 to a percent
Answer:
0.5 = 50%, 3/4 = 75%
Step-by-step explanation:
Add, simplify the answer and write it as a mixed number
Which of the following is an equation of the line with slope 5 that passes through the
point (1, - 4)
Answer:
y=5x-9
Step-by-step explanation:
You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:
y=5x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,-4). When x of the line is 1, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).
So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.
The equation of the line that passes through the point (1,-4) with a slope of 5
is
y=5x-9
Simplify 2/5 + 1/3
I NEED THIS ASAP
Answer:
(11/15)'s
Step-by-step explanation:
(2/5) is equal to (6/15)
(1/3) is equal to (5/15)
(5/15)+(6/15)=(11/15)
x² + 3x -4 = 0
Factor the quadratic equation
Answer:
(x-1)(x+4)
Step-by-step explanation:
[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]
A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?
Answer:
4 adaults
Step-by-step explanation:
how can u find the number of inches in one mile
Answer:
63360
Step-by-step explanation:
==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.
Answer:
There are 63,360 inches in one mile.
Step-by-step explanation:
We multiply by the conversion factor:
1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t t years?
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t[/tex]
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t[/tex]
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]
After 4 years working for the company, he would make $79,000 of salary.
You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling anodd number is23and the probability of rolling an even number is13, though the probabilityrolling of each odd number is the same, and the probability of rolling each even number isthe same. What is the probability of:a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.b) the sum of both dice adding up to 4.
Answer:
a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
Step-by-step explanation:
Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is and the probability of rolling an even number is , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.
To find - What is the probability of:
a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.
b) the sum of both dice adding up to 4.
Proof -
The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }
Now,
Given that , Dice 1 is fair
⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]
Also,
Given Dice 2 is unfair
⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]
P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]
Now,
a)
P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)
= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]
= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] = [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]
⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b)
P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)
= [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{54}[/tex]
⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
13x = 17 divided by 13
Answer:
x=17/13
Step-by-step explanation:
pretty sure you just shift x alone by itself
Answer: [tex]17/13=1.30769231[/tex]
Step-by-step explanation:
Solve: 9x^2-49=0
A. -9/49, 9/49
B. -49/9, 49/9
C. -3/7, 3/7
D. -7/3, 7/3
Answer:
D. -7/3, 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
9x² - 49 = 0
Step 2: Solve for x
[Addition Property of Equality] Isolate x term: 9x² = 49[Division Property of Equality] Isolate x term: x² = 49/9[Equality Property] Isolate x: x = ±7/3Pls help me i will mark brainliest
The bill cost is directly proportional to the calling time.
Is the cellphone bill model directly proportional?
In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:
k = y / x
Where k is the constant of proportionality, in US dollars per minute.
The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:
k₁ = 12 / 80
k₁ = 3 / 20
k₂ = 9 / 60
k₂ = 3 / 20
There, the bill cost is directly proportional to the calling time.
To learn more on direct proportion models: https://brainly.com/question/20400984
#SPJ1
Visa charges 24.5% on the balance each month. Find the new balance for $2000 after I month
Answer:
I think $490
Step-by-step explanation:
Don't quote me on that
A cookie recipe that calls for 2 2/3 cups of sugar will make 32 cookies however you only have 1 2/3 cup of sugar and you have to adjust your recipe what fraction of the recipe
Explanation is in the file
tinyurl.com/wpazsebu
A box contains 4 red marbles, 9 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answer:
8/21
Step-by-step explanation:
Add the number of marbles : 4+9+8= 21
Then how many are blue: 8
Answer 8/21. Can't be simplified
0.38
−3x+6=39
What is the value of x?
Answer:
x = -11
Step-by-step explanation:
−3x + 6 = 39
-3x = 33
x = -11
Step-by-step explanation:
-3x+6=39
-3x=39-6
-3x=33
x=33/-3
x=11
please give the answer and explain
I beg yall i am giving all my points
please help please I will make brainliest please
Answer:
I think u add those numbers up because it's saying figure out the volume below. it must be adding.
Step-by-step explanation:
so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together
Jamie recorded the number of points she scored during her last 5 basketball games. She scored, 15, 25, 10, 2, and 8 points. What is the mean absolute deviation of the points she scored during the last five games?
Answer:
6.4Step-by-step explanation:
Given scores:
15, 25, 10, 2, and 8Mean of the scores:
(15 + 25 + 10 + 2 + 8)/5 = 12Absolute deviations:
|15 - 12|= 3|25 - 12|= 13|10 - 12| = 2 |2 - 12| = 10|8 - 12| = 4Sum of absolute deviations:
3 + 13 + 2 + 10 + 4 = 32Mean absolute deviation:
32/5 = 6.4total no of game (n)=5
score =15, 25, 10, 2, and 8 points
mean= sum of score/no.of game
=(15+25+10+2+8)/5=60/5=12
absolute deviation of
15=\15-12\=3
25=\25-12\=13
10=\10-12\=2
2=\2-12\=10
8=\8-12\=4
mean absolute deviation=
(3+13+2+10+4)/5=3.6
is the mean absolute deviation of the points she scored during the last five games.
Blake is cutting a piece of rope into fourths. if each piece is 16 inches long, what is the length of the entire rope?
Answer:
64inches.
Step-by-step explanation:
Let x represent the length of entire rope.
Division Equation:
\frac{x}{4} = 16
\frac{x}{4} X 4 =16x4 (Multiply each side by 4)
x=64
Therefore, length of entire rope is 64 inch.A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to charge his cafeteria account by .15.
Solve the following equation.
4(−3.15)=
Explain what this product means in terms of the cafeteria account.
Answer:
-12.6
Step-by-step explanation:
Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.
Answer:
The answer is "Option b".
Step-by-step explanation:
Calculating the common Box-Cox Transformation:
[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]
[tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]
[tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]
A family plans to have 3 children. For each birth assume that the probability of a boy is the same as a girl. What is the probability of having exactly one girl
Answer:
1/3
Step-by-step explanation:
Which expression is equivalent to (73)-2
1/7.7.7.7.7.7
7
1/7
-1/7.7.7.7.7.7
Answer:
73*-2 =-146 you have to multiply the 73 to the -2
Step-by-step explanation:
Find the measurement of side QR.
Answer:
Step-by-step explanation:
Another similar triangle. then the sides that are the same are:
r /d = p / b
r =30
d = 72
b = 60
p = QR
30 / 72 = QR / 60
( 30 / 72 ) 60 = QR
1800 / 72 = QR
25 = QR
:) glad they makes these work out to easy numbers.. I mean not some long decimal
please help me this is so confusing
Answer:
13.5 ft
Step-by-step explanation:
base = 18ft
To find the height, take 75% of 18
To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:
0.75 x 18 = 13.5
13.5 would be the height
Answer:
13.5?
Step-by-step explanation:
Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231
Complete Question:
Leslie placed this ad in Collector Car Monthly.
1957 Chevrolet Nomad station wagon. Tropical
Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,
rebuilt transmission, restored two-tone interior.
Mint! Moving, sacrifice, $52,900. 555-4231
(a) If the publication charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?
(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?
(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?
Answer:
[tex]Total = \$53[/tex]
[tex]Ruth = \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
Step-by-step explanation:
Given
[tex]Ad = 4\ lines[/tex]
[tex]Charges: \$48[/tex] --- First 3 lines
[tex]Additional: \$5[/tex] -- Extra lines
Solving (a) : Determine the total charge
The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line
So, the total charge is calculated as:
[tex]Total = 3\ lines + 1\ line[/tex]
[tex]Total = \$48 + 1 * \$5[/tex]
[tex]Total = \$48 + \$5[/tex]
[tex]Total = \$53[/tex]
Solving (b): How much does Ruth pay?
From the ads, the price of the car is:
[tex]Price = \$52,900[/tex]
And Ruth pays 8% less.
This means that she pays 92% (i.e. 100% - 8% = 92%)
So, the calculation is:
[tex]Ruth = 92\% * Price[/tex]
[tex]Ruth = 92\% * \$52900[/tex]
[tex]Ruth = \$48668[/tex]
Solving (c): The sales tax
[tex]Sales\ Tax = Sales\ Tax\% * Amount\ Paid[/tex]
[tex]Sales\ Tax = 6\% * \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
What number is 0.01 less than 31?
30.99
30.9
30.09
30
Answer:
30.99
Step-by-step explanation:
31 - 0.01 = 30.99
Help meeee.. I’ll mark you brainlist and Uc you scam then i report lol but helpppp me
Answer:
70 units²
Step-by-step explanation:
Area of the figure = area of rectangle + area of triangle
= L*W + ½*bh
L = 10
W = 5
b = 5
h = 18 - 10 = 8
Substitute:
Area of the figure = 10*5 + ½*5*8
= 50 + 20
= 70 units²