Answer:
1. 371 × d = 52
2. n - 320 = 139
3. 317 = k + 110
4. 374 + k = 305
5. 398 = d + 6
Step-by-step explanation:
1. 371 × d = 52
d = 52/371
d = 0.14016172506
2. n - 320 = 139
n = 139 + 320
n= 459
3. 317 = k + 110
k = 317 - 110
k = 207
4. 374 + k = 305
k = 305 - 374
k = -69
5. 398 = d + 6
d = 398 - 6
d = 392
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Answer:
[tex]y=\frac{-1}{3}x-4[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define
Point (9, -7)
Point (-6, -2)
Step 2: Find slope m
[tex]m=\frac{-2-(-7)}{-6-9}[/tex]
[tex]m=\frac{-2+7}{-15}[/tex]
[tex]m=\frac{5}{-15}[/tex]
[tex]m=\frac{-1}{3}[/tex]
[tex]y=\frac{-1}{3}x+b[/tex]
Step 3: Find y-intercept b
[tex]-7=\frac{-1}{3}(9)+b[/tex]
[tex]-7=-3+b[/tex]
[tex]-4=b[/tex]
Step 4: Write linear equation in slope-intercept form
[tex]y=\frac{-1}{3}x-4[/tex]
Anyone know the answer to this?
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation.
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
f(x) = 2x - 6,
find f(10).
Answer:
14
Step-by-step explanation:
use the given functions to set up and simplify f (10).
If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)
Answer:
just took the test and it's D on edge
Step-by-step explanation:
The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D
Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Since the root of the equation is given 5, 4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.
Implies (x - 5) and (x - (4-13i))
(x - 5) and (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.
Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ6
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
How many terms are in the expression below?
4xy + 3y - 2+ 2y - xy
Answer:
3
Step-by-step explanation:
you have the single numalrial term, you have the x terms, and the y terms
what percent is 52.52 million of 142 million
Answer:
37%
Step-by-step explanation:
Given parameters:
Total number = 142 million
Comparing number = 52.52 million
Unknown:
What percent is the number =?
Solution
The percentage;
= [tex]\frac{comparing number }{total number } x 100[/tex]
= [tex]\frac{52520000}{142000000}[/tex] x 100
= 37%
Answer:
dwadwdwa
Step-by-step explanation:
solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Answer:
Step-by-step explanation:
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Drag and drop the angle pairs to correctly match their description.
Answer:
<XAW and <UAY are vertical angles
<XAW and <XAZ are complementary angles
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Please solve x^2 − 3x = −8
Answer:it will equal 0
Step-by-step explanation:
hopes it helpes you
Answer (it has two solutions):
See photo below
I hope this helps!
Simplify the following expression.
(5^3)^5
Answer:
5 ^15
Step-by-step explanation:
(5 ^3)^5 =5 ^(3×5)=5 ^15
The rule used is (a^b)^c = a^(b*c)
If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.
In this case, a = 5, b = 3, c = 5.
Using a calculator,
5^15 = 30,517,578,125
But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.
if sinA=1/2than find tan A
Step-by-step explanation:
Here's the answer I hope it will help you
Answer:
Step-by-step explanation:
From the Pythagorean Theorem
a^2 + b^2 = c^2
a = 1
b = ?
c = 2
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 4 - 1 = 3
b = sqrt(3)
Tan(30) = opposite / adjacent.
adjacent = sqrt(3)
Tan(30) = 1/sqrt(3)
=========
If you need a decimal, it is
1 / 1.321
tan 30 = 0.5774
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?
Answer:
0.625
It has 3 digits (finite) after the decimal point.
Step-by-step explanation:
Given that :
Total number of pitches = 384
Total number of fasfballs = 240
To make an update :
Ratio of the number of fastballs and total number of pitches
240 : 384
240/384
= 0.625
The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.
Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47
Answer: 47/100
Step-by-step explanation: 47/100 = 0.47.
46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!
National Park Animal Populations
You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:
Yellowstone
x Year
y1 Population 1, Grizzly Bears
(per square mile)
y2 Population 2, Pocket Gophers
(per square mile)
y3 Population 3, Osprey
(per square mile)
x y1 y2 y3
0 4.0 4.0 4.0
1 4.5 4.5 5.8
2 5.0 5.3 7.2
3 5.5 6.4 8.2
4 6.0 8.1 8.8
5 6.5 10.6 9.0
8 8.0 28.6 7.2
10 9.0 60.7 4.0
Everglades
x Year
y1 Population 1, American Alligator
(per square mile)
y2 Population 2, Marsh Rabbit
(per square mile)
y3 Population 3, Florida Panther
(per square mile)
x y1 y2 y3
0 6.0 6.0 6.0
1 6.5 6.5 7.8
2 7.0 7.3 9.0
3 7.5 8.4 9.8
4 8.0 10.1 10.0
5 8.5 12.6 9.8
8 10.0 30.6 6.0
10 11.0 62.7 1.0
Make Sense of the Problem
What do you want to find out?
Analyze the Data
Population 1 (y1): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 1:
1. Is population 1 increasing or decreasing? (0.5 point)
2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)
3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)
4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)
Population 2 (y2): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 2:
5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)
6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)
7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)
8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)
Population 3 (y3): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 3:
9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)
10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)
11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)
12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)
13. Use the following graphs to verify your work on this question.
A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)
B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)
C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)
Yellowstone
What do you want to find out?
-What type of function best models the population growth for each species
Population 1 (y1):
Grizzly Bears
1. Increasing
2. (4.5-4.0)/(1-0) =0.5
3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.
4. Linear
Population 2 (y2):
Pocket Gophers
5. 60.7 population per square mile
6. (60.7-10.6)/(10-5) =50.1/5 =10.02
7. Exponential
8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5
The estimated rate of change from year 5 to year 6:
2.5 x 1.5 =3.75
Population 3 (y3):
Osprey
9. 9 population per square mile. This occurred in year 5.
10. (4-9)/(10-5) =-5/5 =-1
This is a decrease
11. Quadratic, the numbers increase as well as decrease.
12. Circle the point where x=0 (the point where the three lines intercept)
The initial point, where x=0, y1,y2,y3 =4
13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6
B. (4-7.2)/(10-8) =-3.2/2 =-1.6
C. (-1.6)-(-0.6)/(10-5) =-0.2
the formula is
-0.2*(x^2)+2x+4
Substituting x with 15,
-0.2*(15^2)+2(15)+4
=-45+30+4
=-11 population per square mile
Answer:
i was wondering and it wont let me comment- did u use any answers from the person who answered or are they all yours?
Step-by-step explanation:
expand and simplify 3(3x-4)-2(2x-1)
Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³
The terms in which value of x when substituted leaves final value of p(x) = "0".
Here, x - 2 is factor. So value of x is 2.
Substituting value of x we get,
p(x) = x3 - 3x + 5a
p(2) = 2*3 - 3(2) + 5a
0+ 8-6 + 5a
-2 = 5a
a= -0.4
Plz mark me as brainliest
solve for y on both i will give brainlizest thankssss & HURRY
2y+7x=4
6x=7-4y
Answer:
1- Y=-7/2x+2.
2. Y=-6/4+7
Step-by-step explanation:
Subtract 7x from both sides
Divide both sides by two
Add 4y to both sides
Subtract 6x from both sides
Divide by 4 on both sides
Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23
Simplify five to the power of -4 over five to the power of three plzzzz answer
Answer:
5^-4= 0.0016
5^3= 125
Step-by-step explanation:
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/10629211
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
Learn more here:
https://brainly.com/question/11703625
Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica
Answer:
Step-by-step explanation:i need points sorry
15 points! Please I need some help this is due ...
Answer:
The answer above is correct
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?
Answer:
$4.5
Step-by-step explanation:
I'm gonna do my work on paper.