Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
[tex]y = mx + b \\ y = - 2x + 5[/tex]
Consider the coefficients.
[tex]mx + b = - 2x + 5[/tex]
[tex]m = - 2 \\ b = 5[/tex]
Therefore, the slope is -2 and y-intercept is 5.
How to simplify sin(4x) in terms of sin(x) and cos(x) ?
Answer:
sin 4 x = 4 ( sin x − 2 sin 3 x ) √ 1 − sin 2 x
explanation: sin 4 x = 2 sin 2 x cos 2 x = 2 × 2 sin x cos x × ( 1 − 2 sin 2
= 4 sin x cos x − 8 sin 3 x cos x
A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix A nuts contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts
Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:
8x + 6y ≤ 120 (1)
4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:
4x + 6y ≤ 96 (2)
The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.
If x, y ≥ 0, the solution to the problem is:
(0, 0), (0, 16), (15,0), (6, 12)
You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years?
Answer:
After three years you have earned $3,755.60
Step-by-step explanation:
The first year you start with $15,500 on account and earn $1,162.50 as interest
At the end of the first year the bank account is $16,662.50
The second year you start with $16,662.50 and earn $1,249.69 as interest
So at the end of the second year you have a sum of $17,912.19
Then on the third year you start with $17,912.19 and earn an interest of $1,343.41
So at the end of the third year the total of the bank account is $19,255.60
Now, if you sum the three interests $1,162.50+$1,249.69+$1,343.41 the total is $3,755.60 and this is your answer.
Answer:
$3488 on Knewton
Step-by-step explanation:
Select all coordinate points that are part of the solution set of system of inequalities below.
Answer:
I believe that 2, 4 and 5 are correct
Step-by-step explanation:
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
Huh
Step-by-step explanation:
Answer:
The numbers are 8 and 5!
Step-by-step explanation:
8+5=13
8-5=3
You invest $1,000 in an account with 6 % interest, compounded annually. Assume you do not touch the money or add money other than the earned interest.
How much money will you have in the account after 10 years?
(A) $ 1790.85
(B) $ 109951.16
(C) $ 538.62
(D) $ 1600
Answer:
A) 1790.85
Step-by-step explanation:
Hi there!
In order to solve this problem, you’ll need to use the compound interest formula [tex]x = p(1 + \frac{r}{n} )^n^t[/tex]
p will be your principle, or starting amount, which is 1,000.
r will be your percentage, which is 0.06.
n will be the amount of times interest is compounded, since this question says compounded anually, your compound will be 1.
t is the time in years it is compounded, which is 10.
When the numbers are plugged in, we get [tex]x = 1,000(1 + \frac{0.06}{1})^1^0[/tex]
When we solve for this, we get 1790.85.
Hope this helps! :)
PLS HELPP ILL MARK BRAINLIST { have to get it right }
Answer:
=1
=−7
Step-by-step explanation:
(+3)2−5=11
(+3)(+3)−5=11
2+3+3+9−5=11
2+6+9−5=11
x-1=0
x+7=0
plz only answer if you know :(
Answer:
x = 8.6 cm
Step-by-step explanation:
Reference angle = 35°
Opposite side length = x
Hypotenuse = 15 cm
Apply trigonometric ratio to find x
Thus:
[tex] sin(35) = \frac{x}{15} [/tex]
Multiply both sides by 15
[tex] sin(35)*15 = x [/tex]
8.60364654 = x
x = 8.6 cm (nearest tenth)
If the blue lines are parallel, what is the value of x?
Answer:
37
Step-by-step explanation:
3x=x+74
2x=74
x=37
Find the value of x that makes quadrilateral FGHI a parallelogram.
Н
G
3x+90
6x-96
I
F
X =
Answer:
CANNN U PLS HELP ME ON MY TEST THING PLSS I ONLY HAVE 5 MIN
Step-by-step explanation:
Include a Claim, Evidence, Explanation, and Conclusion for full credit.
Cells were obtained from a patient with a viral infection. The DNA extracted from these cells consisted of two forms: double-stranded human DNA and single-stranded viral DNA. The base composition of these two forms of DNA are shown in the image.
Construct an argument based on evidence to determine which form was the viral DNA and which form was the human DNA.
Susan determined that the expression below is equal to 7.59
15.91 - 8.32
Which expression can Susan use to check her answer?
A. 8.32 - 7.59
B. 8.32 + 7.59
C. 15.91 + 8.32
D. 15.91 + 7.59
For her phone service, Melissa pays a monthly fee of $16, and she pays an additional $0.06 per minute of use. The least she has been charged in a month is $93.22. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.
Answer:
1287
Step-by-step explanation:
93.22-16=77.22
77.22 devided by 0.06=1287
victor purchases 3 movie tickets for18.75$ at the movie hut which theater sells tickets for the same price per ticket
Answer:
6.25
Step-by-step explanation:
price per ticket= 18.75/3
=6.25
Thank you guys so much
Answer:
B. City P is above sea level and City R is below sea level
Step-by-step explanation:
A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.
C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.
D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.
What are the largest numbers for each of the following sums of three consecutive numbers: n Correct answer is brainliest
Answer:
so where are the 3 consecutive numbers?
A recipe uses 2/3 cup of water and 2 cups of flower write the ratio of water to flour as described by the recipe then find the value of the ratio
Answer:
h
Step-by-step explanation:
The four corners of a rectangular city block are located at (-5,-2), (-5,9). (9,9), and (9,-2) on the coordinate grid below. Randy walks all the way around the block and stops when he gets back to where he started. Each unit on the grid represents 10 meters. How many meters does Randy walk?
Answer:500m
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
Rose spent $2.00 for 20 pieces of gum. Joe spent $1.50 for 10 pieces of gum. Who got the better deal?
Yes rose got the better deal
please help on the last question im gonna do 40 points
Find the measure of the following angles given m<1 =130° and m<14=65°
Answer:
m<8 = 130
m<6 = 130
m<7 = 50
m<11 = 65
m<15 = 65
m<10 = 65
Step-by-step explanation:
Evaluate the piecewise function at the given values of the independent variable.
Answer:
14
Step-by-step explanation:
no explanition
Evaluate 9.1p + 8.9r when p=7 and r=8
Answer:
134.9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
9.1p + 8.9r
p = 7
r = 8
Step 2: Evaluate
Substitute: 9.1(7) + 8.9(8)Multiply: 63.7 + 71.2Add: 134.9Help please...........................
Answer:
1st one is 16.
2nd one is 5.
Step-by-step explanation:
Multiply 4x4 and you get 16.
Multiply 5x1 and you get 5.
Please give brainlest.
Pls answer I need help!!
Answer:
It should be that they both have the same area.
Step-by-step explanation:
since it's HALF the paper, the area should be the same. If you said the width of the paper was 8 inches and the length was 10, then the area would be 80 inches squared. Cut it in half for Calvin's paper and the area would be 40 inches squared, the same with Matthew's.
I hope that makes sense :)
You can ask me any questions you have about it :3
If a new jacket sells for $37, find the total cost if you were charged 4% sales tax. Round your answer to the nearest cent.
Answer:
$38.48
Step-by-step explanation:
To find the sales tax you add 4% to 100%, which is 104%
Then you turn that into a fraction, which is 104/100
Then you multiply 104/100 by 37
You should get 38.48
Hope this helps! : )
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
A. 1/34
B. 1/16
C. 8/17
D. 8/9
Answer:
It would be 1/34 or 1/16.
Step-by-step explanation:
Add up how many kids there are in total and then see how many girls there are and write it like this: 18/34. Since it says a girl then you would do it as 1/34 or 1/16 it depends on how you look at it and or how you understand what the question is talking about.
CAN SOMEONE HELP ME! Find the measure of an angle such that the difference between the measures of its supplement and nine times its complement is 50°
Answer:
85 degrees
Step-by-step explanation:
To start we can call the angle x and make an equation.
The complement of the angle would be 90 degrees - x
The supplement of the angle would be 180 degrees - x
Therefore, the difference between the measures of its supplement and nine times its complement is
180 - x - 9(90 - x) = 50
Solving,
180 - x - 810 + 9x = 50
8x - 630 = 50
8x = 680
x = 85 degrees.
Jolie consumed 15 grams of protein for breakfast, which is of the total amount of protein her doctor 3 10recommends that she consume per day. How many grams of protein does Jolie’s doctor recommend she consume per day?
Answer:
I think 20.67
Step-by-step explanation:
sorry if im rong hopes if it helps
310/15 = 20.67
Jolie’s doctor recommends she consume 50 grams of protein per day.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given;
Jolie consumed 15 grams of protein for breakfast,
which is 3/ 10 of the total amount of protein her doctor recommends that she consume per day.
To find the protein amount in a day:
Let n be the amount of protein.
n = 15 ÷ 3/10
n = 15 x 10 /3
n = 150/3
n = 50 grams.
Therefore, 50 grams of protein, Jolie’s doctor recommends she consume per day.
To learn more about the fractions;
https://brainly.com/question/10354322
#SPJ2
2x+10= 5x-17 hurry is for a test
Answer:
X is 9
Step-by-step explanation:
Write an equation in Slope Intercept Form given the points (2, 3) and (-1, -12)?
Answer:
y = 5x -7
Step-by-step explanation:
first find the slope using the formula y2-y1/x2-x1
-12 -3 -15
--------- = ---- = 5
-1 -2 -3
slope: 5
Now to find the intercept plug in the slope and the numbers into the equation then solve
y-y1=m(x-x1)
y - 3 = 5 (x -2)
y -3 = 5x -10
+3 +3
y = 5x -7