Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
Let t represent the number of years since 1992, and P represent the per capita consumption of fish and shellfish in the U.S.
In 1992 (t = 0), the per capita consumption was 14.7 pounds, this can be represented by (0, 14.7) while in 1994 (t = 1994-1992=2) it was 15.1 pounds this can be represented by (2, 15.1)
Using (0, 14.7) and (2, 15.1) we can get the equation of the line using:
[tex]P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)\\ \\P-14.7=\frac{15.1-14-7}{2-0}(t-0)\\ \\P-14.7=0.2t\\\\P=0.2t+14.7[/tex]
In the year 2002 (t = 2002-1992 = 10), the per capita consumption of fish and shellfish is:
P = 0.2(10) + 14.7
P = 16.7 pounds
Can anyone help? cause this for a test tomorrow I'll mark you the brainliest if you get the answer right
Answer: I know B and D are correct for sure, and i'm pretty sure C is too.
Step-by-step explanation:
HELP ASAP! GIVING BRAINLIEST. Please answer a,b,c, or d.
Find the equation of the line parallel to x+3y = 4 and passing through the point (2, 5)
Answer:
The equation of the parallel line is x + 3y = 17
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercept
The form of the equation y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is x + 3y = 4
→ We must put it in the form above to find its slope
→ Subtract x from both sides to move x to the right side
∵ x - x + 3y = 4 - x
∴ 3y = 4 - x
→ Divide both sides by 3 to make the coefficient of y = 1
∴ [tex]\frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x[/tex]
∴ y = [tex]\frac{4}{3}[/tex] - [tex]\frac{1}{3}[/tex] x
→ Compare it with the form of the equation above
∴ m = [tex]-\frac{1}{3}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]-\frac{1}{3}[/tex]
→ Put it in the form of the equation
∴ y = [tex]-\frac{1}{3}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates
of a point on the line
∵ The line passes through the point (2, 5)
∴ x = 2 and y = 5
→ Substitute them in the equation
∴ 5 = [tex]-\frac{1}{3}[/tex] (2) + b
∴ 5 = [tex]-\frac{2}{3}[/tex] + b
→ Add [tex]\frac{2}{3}[/tex] to both sides
∴ [tex]\frac{17}{3}[/tex] = b
→ Substitute it in the form of the equation above
∴ y = [tex]-\frac{1}{3}[/tex] x + [tex]\frac{17}{3}[/tex]
→ Multiply each term by 3
∴ 3y = - x + 17
→ Add x to both sides
∴ x + 3y = 17
∴ The equation of the parallel line is x + 3y = 17
Answer:
[tex]\displaystyle y-5=-\frac{1}{3}(x-2)[/tex]
Step-by-step explanation:
Equation of a Line
Two lines are parallel if they have the same slope. We are given the equation of the line:
x+3y=4
To find the slope of this line, we must solve for y:
[tex]\displaystyle y=-\frac{1}{3}x+\frac{4}{3}[/tex]
The slope of this line is:
[tex]\displaystyle -\frac{1}{3}[/tex]
The equation of the new line has the same slope. To find its equation, we use the point-slope form of the line:
y-k=m(x-h)
Where (h,k)=(2,5). Thus:
[tex]\boxed{\displaystyle y-5=-\frac{1}{3}(x-2)}[/tex]
Jack sells T-shirts for his school during football games. At the first game, Jack sold 120 T-shirts. At the next game, he sold 68 T-shirts. What is the percent change, to the nearest percent, in the number of T-shirts sold?
A. 36%
B. 43%
C. 52%
D. 76%
Answer:
A
Step-by-step explanation:
determine the rate of change (slope) and starting point (y-intercept)
Answer: slope = 1, y intercept = 3
Step-by-step explanation:
The line crosses the y axis at 3 and when you calculate rise over run, you get 1, so the slope is 1.
Which expression is NOT equivalent to a^3b^3
((a^2)b)((b^2)a)
(a^4)b^4−ab
((a^2b^2))/2ab
(ab)(ba)(ab)
Answer:
A. ((a^2)b)((b^2)a)
Step-by-step explanation:
A. ((a^2)b) ((b^2)a)
Open parenthesis
(a^2b)(b^2a)
a^3b^3
B. (a^4)b^4−ab
a^4b^4 - ab
C. ((a^2b^2))/2ab
(a^2b^2) / 2ab
D. (ab)(ba) (ab)
(a^2b^2)(ba)
Therefore,
a^3b^3 = ((a^2)b) ((b^2)a)
Which relation is also a function?
Answer:
D.
Step-by-step explanation:
The easiest way to tell is a relation is a function is to look at every x. A function cannot have two x's that are the same.
A. There are two x's with the value of 10.
B. There are two x's with the value of 20.
C. If you wrote this in ordered pairs, there would be two x's with the value 2.
D. Every x is different, so the answer is D.
Hope this helps! Have a great day c:
The ratio of money in Terry's bank account to Faye's bank account was 3:5. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did they initially have altogether?
Answer:
Let the common ratio be x then
The amount of money in Terry' S Bank account will be 3x and that in Faye's Band Account will be 5x. So
According to question:
3x+£220=5x-£300
£220+£300=5x-3x
£520=2x
x=£210
Balance of Terry:3x
3×£210
£630
Balance of Faye=5x
5×£210
£1050
Money Altogether=£1050+£630
= £1680
Money Altogether in their account is £1680
Step-by-step explanation:
^
Match the following items.
Given:
bisectsRTS
R ≅S
Prove:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S
2. ∠1 ≅ ∠2
3. Segment TQ ⊥ Segment RS
4. Triangle RTQ congruent to Triangle STQ
5. ∠3 ≅ ∠4
6. TQ ≅ TQ
a. Definition of perpendicular.
b. Given
c. AAS
d. CPCTE
e. Definition of angle bisector.
f. Reflexive
Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
Answer: Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
Write 0.000 027 in standard form?
answer: 0.000027= 2.7× 10 to the power of -5
A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit every hour,what will be the Temperature by 2:00pm of the same day
Given:
Temperature at 10:00 am = 8 degrees Fahrenheit
Temperature drops by 3 degrees Fahrenheit every hour.
To find:
The temperature by 2:00pm of the same day.
Solution:
Let y be the temperature after x hour after 10:00 am.
The temperature at 10:00 am is the initial temperature.
So, y-intercept of the linear function is 8.
Temperature drops by 3 degrees Fahrenheit every hour.
So, slope of linear function is -3. Here, negative sign represents the decrease in the temperature.
Slope intercept form of a linear function is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=-3 and y=8 in the above equation.
[tex]y=-3x+8[/tex]
Difference between 2:00pm and 10:00 am is 4 hours. So, substitute x=4 in the above equation.
[tex]y=-3(4)+8[/tex]
[tex]y=-12+8[/tex]
[tex]y=-4[/tex]
Therefore, the temperature by 2:00pm of the same day is -4 degrees Fahrenheit.
A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?
Answer:
You get a total of two hours of parking.
Step-by-step explanation:
First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!
What is the complete factorization of the polynomial function over the set of complex numbers?
f(x)=x3−5x2+4x−20
Enter your answer in the box.
Answer:
[tex]x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})[/tex]
Step-by-step explanation:
Factorization of polynomials
Factor:
[tex]f(x)=x^3-5x^2+4x-20[/tex]
There are several techniques to factor polynomials. We'll use algebraic manipulation and common factor:
Separate in groups:
[tex](x^3-5x^2)+(4x-20)[/tex]
Factor out 4 from 4x-20:
[tex]=(x^3-5x^2)+4(x-5)[/tex]
Factor out [tex]x^2[/tex] from [tex]x^3-5x^2[/tex]
[tex]=x^2(x-5)+4(x-5)[/tex]
Factor out x-5:
[tex]=(x-5)(x^2+4)[/tex]
The roots of
[tex]x^2+4=0[/tex]
Are two complex numbers:
[tex]x=2\mathbf{i}, x=-2\mathbf{i}[/tex]
The complete factorization is:
[tex]\boxed{x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})}[/tex]
How many 0.75 pound
packages can you make
with 9 pounds of popcorn
Answer:
12
Step-by-step explanation:
I just did 9 ÷ .75 = 12
which of these is NOT part of a formal proof?
a. diagram
b. given
c. reasons
d. none of these
e. statements
Answer:
B
Step-by-step explanation:
Jacks boat rental charges a $15 deposit fee $2 for each hour use to rent a paddle boat. Write an equation for C, the total cost,to rent the boat for h hours.
Simplify the Expression
(9-x) + 4x - 7
You might need
4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
-2
-3
-4+
What is the slope of the line?
Answer:
1
Step-by-step explanation:
A cake recipe for 5 people requires two eggs. How many eggs do you need for a 15 person cake
Answer:
6 eggs
Step-by-step explanation:
15=5*3
so times the eggs by 3
2*3=6
Select the graph that would represent the best presentation of the solution set.
|y+2| > 6
Answer:
e
Step-by-step explanation:
make 2 equations:
-equation 1: y+2>6
equation 2: -y-2>6
Then solve for each, and you will end up with -8>y>4
HELP will mark branniest answer
what do you notice about the picture
Answer:
It is a traingle
Step-by-step explanation:
Answer:
They are instructions...
Step-by-step explanation:
Probably finding out the angles of a triangle
There may be patterns in the triangles..
Help me please find x to this answer I'm very desperate.
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1
I need 15. please its my last question and fast
Multiply. Write your answer as a fraction in simplest form.
5/6(−8/15)=
Answer:
-4/9
Step-by-step explanation:
I used a calculator.
5/6(−8/15) in simplest form is -4/9.
What is a fraction ?A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.
According to the given questions we have to multiply two fractions (5/6)(-8/15) which is
= -40/90.
= -4/9.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
If you were to roll the
dice two times what is the
probability it will NOT
land on a 4?
Answer:
.5
Step-by-step explanation:
was I right? if I was not sorry
Ok im tired of asking this
Ok i need both questions
Answer:
Answer 1:
5/8 = 2.5/4 so its 2.5 months
Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.
Step-by-step explanation:
1/4=2/8, so continue that on until you get the answer.
5/8÷1/4
5.8·4/1=
20/8=2.5
9/16=
9÷16=
0.5625
CORRECT ANSWER WILL GET BRAINLIEST
You install 638 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length of the yard?
Answer:
the answer is 486
Step-by-step explanation:
The product of a number and 12 is less than 5
Answer:
12n-5
Step-by-step explanation:
An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?
Answer:
$3,200
Step-by-step explanation:
384/12= 32
32*100= 3200
Answer:
He earns $46.08 because that would be 12% of $384:)
