Answer:
m = 6
Step-by-step explanation:
standard equation of a line: y = mx + b
So, the slope of this equation is 6.
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:
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]
300 college students were surveyed on the number of study hours they spend each week.
The results of a sample of 7 students are given in the following table:
Study Hours:
4
10
20
24
34
36
42
Z Score:
- 2.5 - 1.75
- 0.5
0
1.25
1.5
2.25
Percentile Rank:
10
25
35
40
50
75
95
By Inspection, answer the questions in GH2
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
12. Elmo is standing on a parade float tossing candy out to everyone. The candy is thrown with a starting velocity of 10
feet per second from a height of 3 feet modeled by the equation: h= -16t2 + 10t + 3
After how many seconds will the ball be 2 feet in the air?
a. 0.125
b. 0.5
c. 0.71
d. 0.625
Answer:
c. 0.71
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of the candy after t seconds is given by the following equation:
[tex]h(t) = -16t^2 + 10t + 3[/tex]
After how many seconds will the ball be 2 feet in the air?
This is t for which [tex]h(t) = 2[/tex]
So
[tex]h(t) = -16t^2 + 10t + 3[/tex]
[tex]2 = -16t^2 + 10t + 3[/tex]
[tex]-16t^2 + 10t + 1 = 0[/tex]
So
[tex]a = -16, b = 10, c = 1[/tex]
[tex]\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164[/tex]
[tex]t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09[/tex]
[tex]t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71[/tex]
Since time is a positive measure, the answer is 0.71, which is option c.
4x+2-x=17
Solve the equation for x
Explain how
Answer:
5
Step-by-step explanation:
4x-x=17-2
3x=15I:3
x=5
i think thats right
An element with mass 510 grams decays by 26.3% per minute. How much of the element is remaining after 7 minutes, ?
Answer: The element is remaining after 7 minutes = 60.23 grams
Step-by-step explanation:
The equation for mass decay :
[tex]A=A_0(1-r)^t[/tex], where [tex]A_0[/tex] = initial mass, A = mass after t minutes.
Given: [tex]A_0=510\ grams[/tex]
r = 26.3% = 0.263
t = 7 minutes
[tex]A=510(1-0.263)^7\\\\=510(0.737)^7\\\\=510(0.118106123435)\approx60.23\ grams[/tex]
Hence, the element is remaining after 7 minutes = 60.23 grams
Answer:
Its the sames steps as the other answer but round the decimal instead of 60.23 do 60.2 because the ,23 is rounded to the nearest 10th i think thats how i got it right
Step-by-step explanation:
hihhhhi someone help please ..
Answer:
1. 2³
2.2⁵= 2×2×2×2×2= 32
2⁶= 2×2×2×2×2×2= 64
Step-by-step explanation:
hope it helps
Answer:
1. [tex]2^{3}[/tex]
2. It represents [tex]2*2*2*2*2[/tex] and [tex]2*2*2*2*2*2[/tex]
Step-by-step explanation:
1. it would have to be an exponent so 2*2*2 is 8 and 2^3 is also 8
2. it is an exponent so it would basically be multiplying the number times the number/amount of exponents so 2^5= 32 and 2^6=64
hope this helped :)
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]
The measure of angle A is 68°. The measure of angle B is 22°. Which statement best describes the relationship between these two angles?
Answer:
They are complementary angles.
Step-by-step explanation:
The sum of their measurements equals 90 degrees.
please help me.. i would really appreciate it, thank you!
There are 37 students on a bus the bus stops 5 times. 7 students get off at each stop how many students are left on the bus
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:
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
3(4x + 10) = 12x + 20
How many solutions does this equation have ?
Choose the equation for the line in slope-intercept form.
4x + 3 − 23x
This expression has 3 terms.
true or false
Answer:
True
Terms are separated by the signs
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
i need help with this problem
9514 1404 393
Answer:
(a) 4 in²
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height of the prism.
We can find the area of the base by solving for B.
B = V/h
B = (12 in³)/(3 in)
B = 4 in² . . . . . . . . . . matches the first choice
Maitland multiplies 0.05 x 0.8 on a calculator. The calculator shows a product of 0.04. Maitland says the calculator must be broken because multiplying tenths by hundredths give a product in the thousandths.
Is the calculator broken?
Answer:
no, the calculator is not broken
Step-by-step explanation:
its not broken i got the same answer your welcome
You randomly select ONE card from a 52-card deck. Find the probability of selecting a card greater than 2 and less than 7, or a diamond.
There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance
(a)
Joanna earns $12 per hour at her job. Last week, Joanna earned $432.
Part A
Which equation can be used to determine the number of hours Joanna worked last week?
Part B
What is the number of hours Joanna worked last week?
Answer
432 divided by 12
she worked 32 hours
Step-by-step explanation:
You go to Giant to buy some candy. You decide to buy snickers because they have a special deal on snickers. A pound of snickers costs $3.45, but if you buy 4 or more pounds, they only cost $3.00per bag. Write a piecewise function to represent this situation.
Answer:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
Step-by-step explanation:
A piecewise function is a function that behaves differently in diferent intervals of it's domain.
We know that 1lb of candy costs $3.45
But if you buy 4 lb or more, the cost of each lb is $3.00
Then if x represents the number of pounds of candy that you buy, we have the equation:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
ANOTHER PI DAY QUESTION! LAST ONE!
Pi belongs to which number set?
I would say it would be irrational because PI is said to never end, but it won't take my answer. Any other ideas?
Answer:
I would try saying that it is a real number
Step-by-step explanation:
Answer:
Pi is a Real or Complex number
It says First,show 3/5 of 1/4 on the model. I don't know how pls help me.
Answer:3/20
Step-by-step explanation:
For my friend I’ll mark you and thanks you
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:
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:
Find the angle x, between the tops of two steel beams in front and on top of the building. Round your answer to the nearest tenth if needed.
Answer:
55 Degrees
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 = ±7/3A 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