Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?
Answer:
$13.5
Step-by-step explanation:
l= P×R×T/100
I= 12,500×9×12/100
l= $13,5
The interest earned for his investment after 12 years is $13,500.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, P=$12,500, rate of interest=9% and time period=12 years.
Here, simple interest = (12500×9×12)/100
= 1350000/100
= 13,500
So, the interest is $13,500
Therefore, the interest earned for his investment after 12 years is $13,500.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ3
The money spent, M , purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent. How much money is spent if 28 burritos are purchased? S
Answer:
multiply 3.75 to 28 and it equals 105
Step-by-step explanation:
The amount of money spent to buy 28 burritos will be $105.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the money spent, M, purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent.
The money required to purchase 28 burritos will be calculated as:-
12 burritos = $45
1 burrito = 45 / 12
28 burritos = ( 45 / 12 ) x 28
28 burritos = $105
Therefore, the amount of money spent to buy 28 burritos will be $105.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? a shift down 1 unit a shift left 7 units a shift right 1 unit a shift up 7 units
Answer:
Shift down one unit
Step-by-step explanation:
Correct for e2020
The transformation applied to the graph of f(x) to produce the graph of p(x) is:
A). a shift down 1 unit and a shift left 7 units.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:
f(x) = x²
p(x) = –x² + 14x - 50
The function p(x) can be written as,
p(x) = –(x² - 14x + 49) - 1
p(x) = -(x - 7)² - 1
Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:
A). a shift down 1 unit and a shift left 7 units.
So, the correct answer is A).
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ7
Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls. He will pick one
ball at random. What is the probability that the next ball he randomly chooses will be
red or green?
Type the answer in the box as a fraction in simplest form.
Answer:
7/11 green or red balls
Step-by-step explanation:
5 + 3 + 2 = 11 = whole basket
5 + 2 = 7 = red + green
probability = 7 / 11 balls
Hope this helps!
The probability that the next ball he randomly chooses will be red or green is 7/10
ProbabilityFrom the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green
From the given information,
Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls
∴ Total number of possible outcome = 5 + 3 + 2 = 10
Now we will determine the probability of picking red
Using the formula,
[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]
∴ [tex]P(R) = \frac{5}{10}[/tex]
For the probability of picking green
[tex]P(G) = \frac{2}{10}[/tex]
Then, the probability of red or green is
∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]
[tex]P(R \ or \ G) = \frac{7}{10}[/tex]
Hence, the probability that the next ball he randomly chooses will be red or green is 7/10
Lear more on Probaility here: https://brainly.com/question/251701
#SPJ 2
I need help ASAP please
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
A researcher conducts two studies. Each study was a one-sample z test. Both studies placed the rejection region in both tails and measured the same sample mean. The beat level in Study 1 was larger than the beta level used in Study 2. Which study is associated with greater power to detect an effect
Answer:
Study 2 will produce a greater power to detect an effect because it has a lower beta level
Step-by-step explanation:
Generally, alpha level is the probability of rejecting the null hypothesis when it's true. Whereas beta level is the opposite and it's the probability of accepting the null hypothesis even though it’s false.
Now, in statistics the lower the alpha level, the more we require a stronger evidence. Thus, a higher alpha level is usually required to produce a stronger evidence.
Now, an increase in alpha level means a decrease in beta level and a decrease in alpha level means an increase in beta level.
This means that the lower the beta level, the greater is the power to detect an effect.
Now, we are told that the beta level in study 1 was larger than the beta level used in Study 2.
Thus, study 2 will produce a greater power to detect an effect because it has a lower beta level
2y+4x=8 Solve for y
Show steps
Answer:
y=−2x+4
Step-by-step explanation:
Let's solve for y.
2y+4x=8
Step 1: Add -4x to both sides.
4x+2y+−4x=8+−4x
2y=−4x+8
Step 2: Divide both sides by 2.
2y/2=
(−4x+8)/2
y=−2x+4
Answer:
y=−2x+4
find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!
Answer:
[tex] e = 13\sqrt{2} [/tex]
[tex] f = 13\sqrt{2} [/tex]
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]
hyp = 26
opp = e = ?
Plug in the values into the formula
[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]
Multiply both sides by 26
[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]
[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]
[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]
[tex] 13\sqrt{2} = e [/tex]
[tex] e = 13\sqrt{2} [/tex]
Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]
Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?
Answer:
26
Step-by-step explanation:
Let the peter's number be represented x
Given that
1. if you subtract 19 from my number
writing it mathematically it will be x -19
2. multiply the difference by -3
it can be written as
since difference is x-19
multiplied the difference with -3
-3(x-19)
3. the result is -21
-3(x-19) = -21
dividing both side by -3
-3(x-19)/-3 = -21/-3
x-19 = 7
adding 19 both sides
x-19 + 19 = 7 + 19
x = 26
Thus, peter's number is 26.
please view picture .....................
Answer:
B.
Step-by-step explanation:
Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.
Answer:
Option (B)
Step-by-step explanation:
Given number is 6642.
Number at ones place = 2
Number at tens place = 4
Number at hundredth place = 6
Number at thousand place = 6
Value of the number at tens place = 4 × 10 = 40
Value of the number at hundreds place = 6 × 100 = 600
Value of the number at thousand place = 6 × 1000 = 6000
Number at thousand place = 10 × (Number at hundreds place)
Therefore, Option (B) will be the answer.
. A snack bar is having a sale on hamburgers. At 9:00AM, the snack bar has sold 28 hamburgers. At 12:00PM, the snack bar discovers that it has sold 103 hamburgers. What is the average rate of change between 9:00AM and 12:00PM?
Answer:
75
Step-by-step explanation:
The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.
At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.
The average rate of change between 9:00 AM and 12:00 PM:
= (103 - 28)/(12 - 9)
= 75/3
= 25
Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ2
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)
Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
Read more at; https://brainly.com/question/2747971
I know 5his is easy for yall but for me is not I need some help please I'm giving brainlist.
Answer:
$2.99
Step-by-step explanation:
Given parameters:
Selling price = $19.95
Discount percentage = 15%
Unknown:
Amount of discount = ?
Solution:
To find the amount of discount, ;
Discount amount = discount percentage x selling price
Discount amount = [tex]\frac{15}{100}[/tex] x 19.95
Discount amount = $2.99
4/15 ÷ 10/13 pls help me
Answer: 26/75
(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)
= (4/15) · (13/10) (Cancel out the common factor of 2)
= (2/15) · (13/5) (Multiply the numerators together and denominators together)
= 26/75
. I'm very bad in math help would mean alot to me
Answer:
(6,1)
Step-by-step explanation:
In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.
Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:
a = [tex]\frac{1}{2}[/tex]bh
= 10 = (1/2) * b * 4
= 10 = 2b
= 5 = b
Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it
Y is (1 + 5, 1)
Y is (6,1)
Name the points which satisfy the conditions. The ordinate is zero.
9514 1404 393
Answer:
G
Step-by-step explanation:
The one point with a y-value of 0 is the one on the x-axis: G.
Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for residents in her city. She took a random sample of 225 people from her city and found that 36 of them were senior citizens. She wants to test H0:p=0.10 versus Ha:p > 0.10, where p is the proportion of people in her city that are senior citizens. Assuming that the conditions for inference have been met.
Required:
Calculate the test statistic for Ellie's significance test.
Answer:
The value is [tex]z = 3[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion of senior citizens is [tex]p = 0.10[/tex]
The sample size is [tex]n = 225[/tex]
The number of senior citizens is k = 36
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^{p} = \frac{k}{n}[/tex]
=> [tex]\^{p} = \frac{ 36 }{225}[/tex]
=> [tex]\^{p} =0.16[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]
=> [tex]z = \frac{0.16 - 0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]
=> [tex]z = 3[/tex]
Answer:
P-value ≈ 0.0588
Step-by-step explanation:
5, 6, 7 8,? Plzzzzzzzz
Answer:
5. perpendicular
6. neither
7. parallel
8. perpendicular.
Step-by-step explanation:
i used the slope formula to compare them. it's easier than graphing if you want to be exactly sure of your answers
I know this is easy for yall but for me is not I need some help please I'm giving brainlist.
Answer:
about $2.99
Step-by-step explanation:
to find the amount of the discount you find 15% of $19.95
19.95 * .15 = 2.9925 which is about 2.99
Answer:
Give the otherperson brainliest pls and thank u
Step-by-step explanation:
9(r) = -1 - 77
Evaluate function
Each batch makes 24 cookies. You make x batches of cookies, but eat 5 cookies as you are baking. Write an expression for the number of cookies that you have.
Answer:
24x-5
Step-by-step explanation:
x= number of batches
24x -5
you find 38 coins than you find 41 more how many coins do YOU have?
Answer:
38+41=79
Step-by-step explanation:
i did the math
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)
what is the sign number of the product -35 and -625 is what
Answer:
I think it is Positive."
Step-by-step explanation:
I am so sorry if it is not correct.
Good luck!
ax+6=15 a is a negative, what must be true about x?
Answer:
x= 9/a
Step-by-step explanation:
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
find the value of x. PLEASE HELP.
The answer is 25. Teacher gave us the answer, but I need to show my work.
Answer:
Step-by-step explanation:
2+5x+53=180
55+5x=180
5x=125
x=25
hope this helps :)