Answer:
S(t) = 4.725t + 478.25
S(t) = 4.725(42)+478.25
S(t) = 676.7
Step-by-step explanation:
In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.
Order the pairs to get:
(30,620) and (70, 809)
With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.
[tex]\frac{70-30}{809-620} = 4.725[/tex]
Use this equation and input any ordered pair to get the final function.
y-y1 = m(x-x1)
y-620 = 4.725x-141.75
y = 4.725x + 478.25
Replace x with t and y with S(t) to fit the x & y axis of the question.
Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•
Which rule describes the function whose graph is
shown?
f(x) ={x+6 x<-4
x^2, -2
6- x, x>4
g(x)={x+6, x<-2
x^2, -2
6-x, x>2
h(x)={x+4, x<-2
x^2, -2
4-x, x>2
b. g(x)...
domain: a. (-infinity, infinity)
range: b. (-infinity, 4}
Option (B) is the correct option.
What is the graphing function?"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation".
For the given situation,
[tex]f(x) ={x+6 x < -4x^2, -2 6- x, x > 4[/tex]
[tex]g(x)={x+6, x < -2x^2, -2 6-x, x > 2[/tex]
[tex]h(x)={x+4, x < -2x^2, -2 4-x, x > 2[/tex]
Plot the graph for the given functions [tex]f(x), g(x), h(x)[/tex].
After plotting all the functions, the function [tex]g(x)[/tex] describes the graph shown.
Hence, option (B) is the correct option.
Learn more about graphing functions here
https://brainly.com/question/24696306
#SPJ2
Solve this question for brainlest. This is due at 6 pm
Answer:
2/5
Step-by-step explanation:
multiply length and width then divide the volume by the product of length times width
3/4 x 1/2 then divide 15/16
I need to know the area!!!
Answer:
Area of Grass = 6 m²
Area of Cement = 24 m²
Area of Grass and Cement Together = 30 m²
Step-by-step explanation:
Area of Grass = 3m × 2m = 6m²
Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²
Area of Grass and Cement Together = 6m² + 24m² = 30m²
pls help me with this asap!!
19.20 you have to do a squared times b squared and the square root them and there's your answer
Sabrina read 45% of the book that her English teacher
assigned. Which of the following correctly shows 45% as a
decimal and as a fraction?
A. 45%=45/100=9/20 B. 45% = 4.5 = 45/10 = 9/2 C. 45% = 45 = 450/100 = 9/2 D. 45% = 0.045 = 45/1,000 = 9/200
Answer:
A. 45%=45/100=9/20
Step-by-step explanation:
45% is 45 out of 100 or 45/100
9 divided by 20 equals 0.45
They are both equal to 45%
20 POINTS! Determine if the two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ILL REPORT.
Answer: HL
Step-by-step explanation:
The shared side is congruent, meaning the triangles are congruent by HL.
What value of x is a solution to this equation?
-5x - 10x = -60
Answer:
0.25
Step-by-step explanation:
-5x - 10x = -15x
-15x = -60
x = 0.25
Answer: x=-4
Step-by-step explanation:
There are 4 types of questions on Mrs. Moore's English final exam. The percent of each type of question is shown in the graph.
Types of Exam Questions
Answer:
10
Step-by-step explanation:
5 + 5
A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 3 years
Answer:
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Step-by-step explanation:
The amount is given by
[tex]V = Pe^{rt}[/tex]
Given P = $6520
r = 2.5%
t = 3 years
Substituting the given values, we get -
[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Evaluate (−2)(−3)(−4)(−1)(−2)
Answer:
-48
Step-by-step explanation:
(-2)(-3)(-4)(-1)(-2)
(6)(-4)(-1)(-2)
(-24)(-1)(-2)
(24)(-2)
(-48)
A pair of shoes cost $25. This is $14 less than the cost of a pair of Jeans. Find the cost of the jeans.
25=j-14
Answer:
j = 11
Step-by-step explanation:
$25 - $14 = 11
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.
OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44
Answer:
The solution is [tex]x = 0.83[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]e^{3x} = 12[/tex]
To isolate x, we apply ln, which is the inverse of the exponential. So
[tex]\ln{e^{3x}} = \ln{12}[/tex]
[tex]3x = \ln{12}[/tex]
[tex]x = \frac{\ln{12}}{3}[/tex]
Using a calculator:
[tex]x = 0.83[/tex]
The solution is [tex]x = 0.83[/tex]
in how man ways can you arrange 12 books in a shelf
A:479,001,160
B:479,000,600
C:479,100,600
D:479,001,600
find the greatest four digits number which is divisible by 12, 18 and 30
Answer:
8100
Step-by-step explanation:
8100/12=675
8100/18=450
8100/30=270
Answer:
Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.
Step-by-step explanation:
Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
I would appreciate Brainliest, but no worries.
A wall has to be made around a rectangular garden. The garden's area is
18O square feet. If the garden is 12 feet wide, what is the length?
Answer:
15
Step-by-step explanation:
the answer is 15. 12×15=180
Simplify. Please help me! (Exponents.) Picture added.
Answer:
it would be the last one i meant
Step-by-step explanation:
TELL WHICH NUMBER IS GREATER.
-7, -16
1)16
2)-16
3)-7
4)7
solve the given inequalitiesa) 2x +3> 15
Answer:
( 3 , 9 )
Step-by-step explanation:
First, add
3
to each segment of the system of inequalities to isolate the
x term while keeping the system balanced:
3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18 6 < 2 x < 18
, divide each segment by 2
to solve for x
while keeping the system balanced:
6 2 < 2 x 2 < 18 2 3 < 2 x 2 < 9 3 < x < 9 Or x > 3 ; x< 9
Brainliest?
Describe the y-intercept and end behavior of the following graph
Answer:
B
Step-by-step explanation:
Please help :)
And explain how
Find the value of 5x + 3y when x = 6 and y = 7
Answer:
Answer is 51
Step-by-step explanation:
5(6) + 3(7)
30 + 21
51
Answer:
first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51
Step-by-step explanation:
5x+3y
5(6)+3(7)
30+21
51
hope this helps
Need help!!!!!!!!!!!
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
Please help ASAP!!!!!!!
Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Step-by-step explanation:
Sol
Given that ,
mean =300
standard deviation =a =70
n=100
ux=128
a ) within 6 =300 +/-6 : 294, 306
P(294' ' 306)
: P(-0.86 : Z ' 0.86)
: P(Z ' 0.86) - P(Z ' -0.86)
Using z table,
: 0.8051-0.1949
: 0.6102
Probability : 0.6102
a ) within 18 =300 18 : 294, 318
P(294' ' 306)
: P(Z ' 2.57) - P(Z ' -2.57)
Using z table,
:0.9949-0.0051
:0.9898
Probability =0.9898
What is the area? Help meeeeee pls
please help with this asap thank you
Answer:
Distributive Property
The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minutes you can talk for $2.00 or less.
Answer:
Step-by-step explanation
$20 but im not for sure so if im wrong im sorry
15
x
23
find value of x that makes equation true
Answer:
345
Step-by-step explanation: