Answer: y = 45
Step-by-step explanation:
the two angles will be supplementary to each other
4y - 45 + y = 180
Combine like terms
5y - 45 = 180
Add 45 to both sides
5y = 225
Divide both sides by 5
y = 45
Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}
Answer:
The range of the function is [tex]R=\{17, 5, 1\}[/tex].
Step-by-step explanation:
Let [tex]f(x) = -x^{3}+x^{2}+5[/tex]. From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:
x = -2
[tex]f(-2) = -(-2)^{3}+(-2)^{2}+5[/tex]
[tex]f(-2) = 8+4+5[/tex]
[tex]f(-2) = 17[/tex]
x = -1
[tex]f(-1) = -(-1)^{3}+(-1)^{2}+5[/tex]
[tex]f(-1) = 1-1+5[/tex]
[tex]f(-1) = 5[/tex]
x = 2
[tex]f(2) = -(2)^{3}+(2)^{2}+5[/tex]
[tex]f(2) = -8+4+5[/tex]
[tex]f(2) = 1[/tex]
The range of the function is [tex]R=\{17, 5, 1\}[/tex].
Robinson's Doughnut Factory produces 21,600 doughnuts every day. They
have a fleet of 9 delivery trucks. If the doughnuts are divided evenly, how
many doughnuts will be loaded onto each truck?
Answer:
2400 doughnuts
Step-by-step explanation:
Given that,
Robinson's Doughnut Factory produces 21,600 doughnuts every day.
No. of delivery trucks = 9
We need to find the no of doughnuts will be loaded onto each truck. Let there are n doughnuts. It can be calculated by dividing 21,600 by 9.
So,
[tex]n=\dfrac{21600}{9}\\\\n=2400[/tex]
So, there are 2400 doughnuts that will be loaded onto each truck.
Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units
Given:
Point A is located at [tex]-\dfrac{6}{8}[/tex].
Point B is located at [tex]-\dfrac{1}{8}[/tex].
To find:
The distance between points A and B.
Solution:
We know that,
Distance between points A and B = Location of A - Location of B
Using this given values, we get
Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]
[tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]
[tex]=\dfrac{-6+1}{8}[/tex]
[tex]=-\dfrac{5}{8}[/tex]
Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].
[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]
The distance between A and B is [tex]\dfrac{5}{8}[/tex].
Therefore, the correct option is D.
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
.
Gina has been offered a job as a dog walker. The job pays $10 each week plus $5 per dog walked. Gina’s goal is to earn $75 each week. What is the number of dogs Gina must walk in order to reach her weekly goal?
Answer:
13
Step-by-step explanation:
13(6x – 5) – x = 13 – 2(x + 1)
Answer:
x= 76/79
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain a variable (x).
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(U |D ) = 0.198 [/tex]
b
[tex]P(O\ n \ B) = 0.188[/tex]
c
[tex]P(O | B) = 0.498 [/tex]
Step-by-step explanation:
The total number of deaths is mathematically represented as
[tex]T = 16 + 23 + \cdots + 16[/tex]
[tex]T =623 [/tex]
The total number of deaths in 1996 - 2000 is mathematically represented as
[tex]T_a = 16 + 23+ \cdots + 30[/tex]
[tex]T_a = 235 [/tex]
The total number of deaths in 2001 - 2005 is mathematically represented as
[tex]T_b = 17 + 16 + \cdots + 23[/tex]
[tex]T_b = 206 [/tex]
The total number of deaths in 2006 - 2010 is mathematically represented as
[tex]T_c = 15 + 17 + \cdots + 16[/tex]
[tex]T_d = 182 [/tex]
Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as
[tex]P(U |D ) = \frac{P(A \ n\ U )}{P(A)}[/tex]
Here [tex]P(A \ n\ U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as
[tex]P(A \ n\ U ) = \frac{Z}{ T} [/tex]
Here Z is the total number of death under the tree after 2000 and it is mathematically represented as
[tex]Z = 35 + 42[/tex]
=> [tex]Z = 77 [/tex]
=> [tex]P(A \ n\ U ) = \frac{77}{ 623} [/tex]
=>
Also
[tex]P(A)[/tex] is the probability of the death occurring after 2000 and this is mathematically represented as
[tex]P(A) = \frac{T_b + T_c}{ T}[/tex]
=> [tex]P(A) = \frac{ 206+ 182}{623}[/tex]
=>
So
[tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}[/tex]
=> [tex]P(U |D ) = 0.198 [/tex]
Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{T_z}{ T}[/tex]
Here [tex]T_z[/tex] is the total number of death outside / camping before 2001 and the value is 117
So
[tex]P(O \ n \ B) = \frac{117}{623}[/tex]
=> [tex]P(O\ n \ B) = 0.188[/tex]
Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}[/tex]
Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as
[tex]P(B ) = \frac{T_a}{T}[/tex]
=> [tex]P(B ) = \frac{235}{623}[/tex]
So
[tex]P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]
=> [tex]P(O | B) = 0.498 [/tex]
Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t
Samir was standing facing East. He turned to his right and
walked 5 metres, again turned to his right and walked 7 metres.
Then he turned to his left and walked 4 metres. Which direction
is he facing now?
Answer: he’s facing south now
Step-by-step explanation: started in east then turned south then west then back to south
Answer:
He is now facing to the south, this is because,
He is currently facing east, and right of east = south
Then one more right turn would give, right of south = west
Next, he turns left of west = south
So, he is now facing to the south direction
Thanks!
The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is approximately 40,000. A simple random sample of 50 undergraduates at Johns Hopkins University will be obtained to estimate the proportion of all Johns Hopkins students who feel that drinking is a problem among college students. A simple random sample of 50 undergraduates at Ohio State University will be obtained to estimate the proportion of all Ohio State students who feel that drinking is a problem among college students. What can we conclude about the sampling variability in the sample proportion, p with hat on top, calculated from the sample at Johns Hopkins as compared to that in the sample proportion from Ohio State
Answer:
The answer is "Option C"
Step-by-step explanation:
please find the complete question in the attached file:
Its ratio of samples by Johns Hopkins will be about the equivalent than those from Ohio State because sample varying depending on the sample, each of them would have the same variability also like the amount, that's why he assumes the variance of sample sizing in the sample percentage p with both the hat above, relative to the confidence interval in Ohio State determined from its Johns Hopkins test.
what is the midpoint of the line segment (-6,3) (-10,7)
Answer:
(-8,5)
Step-by-step explanation:
its what comes in between the two
What is the real part of the complex number when 4 plus 5i is multiplied with 2 minus i?
3 + 6i
13 + 6i
13
3
6
6i
Answer:
What I do not understand what you are asking, can you repeat it pls.
Step-by-step explanation:
I really need help. currently failing math
Answer:
3/10=0.3
Step-by-step explanation:
What is the best estimate of 49.13 + 0.58?
A: 80
B: 40
C: 25
D: 50
Answer:
D.50
Step-by-step explanation:
its the closes whole number to 49.13
The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound
Answer:
store B, C, and D
Step-by-step explanation:
compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket how much did he save by buying eggs at the supermarket instead of the local store
Answer:
8
Step-by-step explanation:
i'm a 12 year old girl and i get it so you have to think about the local store would be half witch would be 4 so the answer is 8Monica bowled 3 games. Her scores were 175, 142, and 133. What was her mean, or average, score?
Answer:
monicas mean score is 150
Step-by-step explanation:
beacause 3 games divide 142 and 175 133 d
77% Complete
Please enter a number in response to the following question.
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 12 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.
function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept
Answer:
x - intercept = -4
Step-by-step explanation:
We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.
From general line equation, the formula is; y = mx + c
Where m is the slope and c is the intercept.
Thus, the equation is;
f(x) = (3/2)x + 6
Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.
Thus let's put 0 for f(x) to find the x-intercept.
0 = (3/2)x + 6
(3/2)x = -6
x = -6 × 2/3
x = -4
Answer:
x=(x-4)
Step-by-step explanation:
Find the x-coordinate of the point that crosses the x-axis. The x-intercept is -4
Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Answer:
The answer is "0".
Step-by-step explanation:
Please find the correct question in the attached file.
Given value:
[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]
Formula:
[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]
[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]
231km 118m - 485km 829m in the smallest unit
Answer:
Uhhhhhh
Step-by-step explanation:
ABUNDA LA CACA BDHDHENSNGAGVD
Answer:
hard
Step-by-step explanation:
Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?
Answer:
0.0263
Step-by-step explanation:
What is the answer for number 6
Answer:
x=6
Step-by-step explanation:
x−7=13
Step 1: Add 7 to both sides.
x−7+7=13+7
x=20
Answer:
x=20
find the value of x. PLEASE HELP!!!!!
I need to show my work.
Answer:
x-60
Step-by-step explanation:
Well the expressions lie on a straight line so I know that both of the added together will equal 180.
So the equation looks like this-(x-1+2x+1=180)
So when I substitute 60 in the equation it looks like this-(60-1+2(60)+1=180)
To solve-60-1+120+1::59+120+1::60+120
180
Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3
Answer:
A. [tex]Ratio = 3:1[/tex]
B. [tex]Ratio= 9:3[/tex]
Step-by-step explanation:
Given
[tex]Ratio= 27:9[/tex]
Required
Determine equivalent ratios:
[tex]Ratio= 27:9[/tex]
First, we simplify the ratio to the least possible
[tex]Ratio = 27/9:9/9[/tex]
[tex]Ratio = 3:1[/tex]
By comparison with the given options, we have A and B as answer.
See Proof Below
Proof: A
Compare this to the simplified ratio (given), we have:
[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]
Proof B
[tex]Ratio= 9:3[/tex]
Simplify the ratio to the least possible
[tex]Ratio= 9/3:3/3[/tex]
[tex]Ratio= 3:1[/tex]
Compare this to the simplified ratio (given), we have:
[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]
Answer:
9:3 and 3:1
Step-by-step explanation:
I just did this lesson
if angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest
Answer:
∠5 = 50°Step-by-step explanation:
its alternate internal angles:
∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)
therefore,
∠5 = 50°
The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.
What is alternate internal angles?Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.
Since the given diagram shows the alternate internal angles
Since angle 4 is 50
So angle 4 should be congruent or equivalent to alternate internal angle)
So angle 5 should be 50 degrees.
learn more about an angle here: https://brainly.com/question/21103473
What makes rational algebraic expression undefined?
a. When the numerator becomes 0
b. When the denominator becomes 0
c. When the value of the given variable is equal to O
d. When the restricted value is equal to 0
Answer:
The answer is B.
Answer:
when denominator becomes zero 0
Equivalent Expressions
Warm-Up
Active
Evaluating an Expression
Complete the statements.
Evaluate (15 - 4x) + 5 when x = 3.
Substitute the given value for the
Evaluate within
parentheses.
to simplify.
Use the
inside the
Evaluate exponents.
First, complete the
parentheses.
Next, complete the
parentheses.
Last, complete the addition.
inside the
Multiply and divide
from left to right.
The value is
Add and subtract
from left to right.
Answer:
Complete the statements.
Substitute the given value for the
✔ variable
.
Use the
✔ order of operations
to simplify.
First, complete the
✔ multiplication
inside the parentheses.
Next, complete the
✔ subtraction
inside the parentheses.
Last, complete the addition.
The value is
✔ 8
.
Step-by-step explanation:
Plz give me brainlest
Answer:
Variable, order of operations, multiplication, subtraction, 8.
Step-by-step explanation:
Got it right Edge2021
Cell phone provider A offers a plan that costs 8e per month
Answer:
then can I buy one?
Step-by-step explanation:
Answer:
8e=8*e= 21.7462546277
its per mounth so we divide by 30 or 31 if it is 21.7462546277/30= 0.7248751543
if it is 21.7462546277/31 = 0.7014920848
There are 5 chairs to every 2 tables in class. Which ratio is equivalent to 5:22
35:14
15:12
10:6
40:18
Answer:if your meaning 5:2 the answer would be 35:14
Step-by-step explanation:
You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14