Answer:
- 3a - 4b
Step-by-step explanation:
note that - (- ) = + and + (- ) = -
- 5a + 3b - (- 2a) - 7b
= - 5a + 3b + 2a - 7b ← collect like terms
= (- 5a + 2a) + (3b - 7b)
= - 3a + (- 4b)
= - 3a - 4b
there are two buses at the bus stop, one is at the bus stop every twenty-five minutes. the other is there every fifteen minutes. how many minutes until both buses are at the bus stop again?
Answer:
Bus A will take 75 minutes and Bus B will take 75 minutes as well.
Step-by-step explanation:
Say the buses start at 8 am and the first stop is 25 of 15 minutes, whenever they're supposed to stop:
Bus A: 8:25, 8:50, and 9:15
Bus B: 8:15, 8:30, 8:45, 9:00, and 9:15.
I hope this helped!
Help me answer this please. I'm not in school because of the pandemic and I don't want to fail my math class. (we just started doing these.)
As Venus revolves around the sun, it travels at a rate of approximately 22 miles per second. Convert this rate to kilometers per second. At this
rate, how many kilometers will Venus travel in 10 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not
round
your answers.
Answer:
13.75 m/sec
Step-by-step explanation:
Since the 'per second' part stays the same, simply multiply 22 kilometers by the reciprocal of 1.6:
[tex]22(\frac{1}{1.6})[/tex]
then simplify the fraction:
[tex]= 22(\frac{10}{16})[/tex]
[tex]= 22(\frac{5}{8})[/tex]
and solve to get
[tex]= 13 \frac{3}{4}[/tex] miles per second as the answer.
or optionally:
13.75 m/sec
(b) In a lab, a substance was heated by 6 °C each hour for 24 hours. What was the total change
in temperature?
l
Answer:
144
Step-by-step explanation:
The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees. The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle.
Answer:
40°Step-by-step explanation:
Since the triangle is isosceles and the angle between the congruent sides is x, the other two angles measure the same value.
Sum of the interior angles is 180°:
x + 2*70° = 180°x + 140° = 180°x = 40°equation of a line that is perpendicular y=-5/6x-2 with the slope being (10,15)?
Math Help Please if you can
The lines are all originated from
The midpoint of the sides.
This means the inside lines are crossed in thirds.
sp = 1/3 of sz, so pz = sp x 2
pz = 3.5 x 2 = 7
answer: PZ = 7
if a fish swims 7/8 of a depth of a 32 ft deep lake how many feet down did the fish swim
Answer:
28 feet
Step-by-step explanation:
[tex]\frac{7}{8} * 32 = \frac{7}{1} * 4[/tex] [tex]7 * 4 = 28[/tex] [tex]28 = 28[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
28 feet
Step-by-step explanation:
We need to find 7/8 of 32...
7/8*32=224/8=28
You can also start by cancelling the 8 and the 32 (32/8=4) like so...
7/8*32=7*4=28
The fish swam 28 feet down
2.382 rounded to the nearest hundreds answer quickly pleace
Answer:
2.38.Step-by-step explanation:
Let it be:
2.382Then, round to the nearest hundredths:
2.382≈ 2.38.After rounded it to the nearest hundreds, the number is,
⇒ 2.38
We have to given that,
Round a number 2.382 to the nearest hundreds.
Here, The number is,
⇒ 2.382
Since, Number in thousandth place is, 2
Which is less than 5.
Hence, After rounded it to the nearest hundreds, we get;
⇒ 2.382 ≈ 2.38
Therefore, The solution is, 2.38
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2. y = 55.(1 – 0.02)'
A. Does this function represent exponential
growth or exponential decay?
the tale-tell part of an exponential expression will be the "rate" or namely the part inside the parentheses, if the rate is less than 1, is Decay, if it's more than 1 is Growth.
(1 - 0.02) => 0.98, and 0.98 is less than 1, thus is Decay.
The given exponential function represent exponential decay.
The given function is [tex]y=55(1-0.02)^t[/tex].
The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.
[tex]Amount=Initial\ Value(1-\frac{r}{100} )^t[/tex]
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y=0.
Horizontal Asymptote: y=0
Graph the equation in order to determine the intervals over which it is increasing or decreasing.
Always decreasing
Therefore, the given exponential function represent exponential decay.
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Please I need this answer fast
Answer:
c x approaches -infinity and y approaches -infinity and vice versa
Step-by-step explanation:
graphed on calculator
The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
The required value of b+c is 39.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given quadratic equation,
z² + bz + c = 0
Also, the roots of the equation are -7 + 2i and -7 - 2i.
The sum of the roots
b / 1= -7 + 2i + -7 - 2i
b= -14
The product of the root
c/1 = (-7 + 2i)(-7 - 2i ) = 49 - (2i)² = 49 - 4i² = 49 + 4 = 53
c = 53
The required value of b and c
b + c = 53 - 14 = 39
The value of b + c is 39.
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Grapes cost $2.39 per pound and bananas cost $0.59 per pound. You have $15 to spend on g pounds of grapes and b pounds of bananas. Make an input-output table, graph the table, write the equation: y=mx+b, and give 5 possible combinations.
Answer:
2.39g + 0.59b = 15
Step-by-step explanation:
Algebraic Expressions
Let:
g = pounds of grapes
b = pounds of bananas
Since grapes cost $2.39 per pound, g pounds of grapes cost 2.39g dollars.
Since bananas cost $0.59 per pound, b pounds of bananas cost 0.59b dollars.
The total cost of fruits is:
C = 2.39g + 0.59b
And this cost is equal to $15:
2.39g + 0.59b = 15
This is the equation that relates the costs of the fruits. If another condition was given, then we could find how many pounds of each fruit is to be purchased.
If there are 24 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
24:60
60:24
Step-by-step explanation:
Answer:
24:60 = 24/3:60/3 = 8/20 = 8/4:20/4 = 2:5
If you were to sketch a circle graph for the data shown in the table below, about what fraction of the circle would represent dogs?
Answer:
A
Step-by-step explanation:
To find the fraction of how many would choose dogs, we would have to add all of it together to find the sample size, then divide the number of people who would choose dogs to find the percentage of people who would represent dogs.
Using that percentage, we can then find the fraction close to it.
Let's find the sample size, 43+35+62=140
People who choose dogs: 35
Let's divide to find the fraction: [tex]\frac{35}{140} =\frac{1}{4}[/tex]
(we can simplify this fraction by seeing that four '35's fit into 140.
Ky recorded the results of his basketball free throw practice for three different sessions in the table shown, 3 misses to 10 attempts. If the ratios remains the same, how many free throws would kyle make if he misses 15 free throws in his next practice session?
Answer:
50 free throws
Step-by-step explanation:
3 : 10 = 15 : x
3x = 150
x = 50
2/3 x 18 is my question what is the sum
Answer:
12
Step-by-step explanation:
[tex]\frac{2}{3} * 18 = \frac{36}{3}[/tex] [tex]\frac{36}{3} = 12[/tex]Therefore, the answer is 12.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
12
Step-by-step explanation:
give person above brainliest <3
_____
2/3 x 18 = 12
Exam: 05.03 Exponential and Logarithmic Functions Mid-Module Check
Solve 4x = 8x − 1
Answer:
x = 1/4
Step-by-step explanation:
subtract,simplify, and divide
You have learned what astronomers think about the possibility of there being other worlds like our Earth. Based on what you learned, select all of the correct statements from the following list.
A. Most of the other planets in our own solar system are not Earth-like.
B. Astronomers think that planets are uncommon.
C. A number of planets orbiting other stars have been detected.
D. Many stars seem to have planets.
E. planets orbiting other stars are easy to detect.
F. Earth-like worlds are so small and distant that they have not yet been detected.
Based on astronomical science, the correct statements about the possibility of having other worlds like our planet Earth include:
A. Most of the other planets in our own solar system are not Earth-like.
C. A number of planets orbiting other stars have been detected.
D. Many stars seem to have planets.
F. Earth-like worlds are so small and distant that they have not yet been detected.
What is a solar system?A solar system can be defined as a collection of the outer and inner planetary (astronomical) bodies alongside the Moon that are in orbit around the Sun, in slightly elliptical orbits.
The planets in the solar system.Basically, there are nine (9) planets in the solar system and these include;
MercuryVenusEarthMarsJupiterUranusNeptunePlutoVenusSaturnBased on astronomical science, many stars have planets and a number of planets that orbit other stars have also been detected by astronomers.
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the number 54 is a multiple of 9 TRUE OR FALSE
the number 16 is a multiple of 2 TRUE OR FALSE
the number 48 is a multiply of 9 TRUE OR FALSE
the number 32 is a FACTER of 8 TRUE OR FALSE
6 is a factor of 12 TRUE OR FALSE
Answer:
It is true for the number 54 is a multiple of 9
It is true for the number 16 is a multiple of 2
It is false for the number 48 is a multiply of 9
It is true for the number 32 is a FACTER of 8
It is true for 6 is a factor of 12
Step-by-step explanation:
9*6=54
8*2=16
9*5=45 in order to get 48 you have to multiply 8*6
8*4=32
6*2=12
2
A101
4
Which expression is equivalent to
5
4 4
4
1
2
4
TIC
?
0
0 0
2
4
Answer:
option c. 2
...........
Tickets to a play cost $8 cach. Write an expression that gives the ticket cost in dollars for a group of g girls and b boys.
Answer:
8b + 8g = T
Step-by-step explanation:
So, $8 per boy and $8 per girl = Total cost
8*boy + 8*girl = total
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 120 people who snore participating in the experiment. Using a table of random digits, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
40
80
120
Answer:
40
Step-by-step explanation:
Divide 120 by 3
Meaning you are taking the total nuber by the nuber which is going to be divided
The total number of unique random numbers needed is 120 numbers.
What is Statistic?A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.
To randomly assign 120 people into three equally sized treatment groups, the researcher needs to select 120 unique random numbers from the table of random digits.
Each number will correspond to one of the 120 participants and determine which treatment group they will be assigned to.
Since there are three equally sized groups, each group should have 40 participants. Therefore, the researcher needs to select 40 unique random numbers for each group.
So, the total number of unique random numbers needed is:
3 groups x 40 numbers per group = 120 numbers
Therefore, the correct answer would be option (D) 120.
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Solve for x.
A. 6/3
B. 5
C. 12
D. 12.5
Answer:
x=12
Step-by-step explanation:
Using Proportion:
[tex]\tt \cfrac{x}{16} =\cfrac{9}{x}[/tex]
[tex]\tt x^2=9(16)[/tex]
[tex]\tt x=12[/tex]
Refer to the table below if needed.
Second Quadrant
Third Quadrant
Fourth Quadrant
sin(1800-e) = sine
sin(1800 +) = -sino
sin(3600-0) = - sino
cos(180°-2) = - COS
cos(1800 +) = - COS
cos(360°-) = cos
tan(180°-2) = - tane
tan(180° +2) = tano
tan(360°-O) = - tane
cot(1800-0) = -coto
cot(180° +0) = cote
cot(3600-0) = - coto
sec(180° +2) = - Seco
sec(360° -2) = seco
sec(180°-o) = - Seco
csc(180° -2) = CSCO
CSC(180° +) = - CSCO
CSC(3600-0) = - CSCO
The quadrants in which tane and cote are positive.
IV
A quadrant is the area that is divided into the x and y axes
The quadrants in which tan [tex]\theta[/tex] and cot [tex]\theta[/tex] are positive are I and III
How to determine the quadrantsThe tangent of an angle is calculated as:
[tex]\tan(\theta) = \frac{sin(\theta)}{\cos(\theta)}[/tex]
While the cotangent of the angle is calculated as:
[tex]\cot(\theta) = \frac{cos(\theta)}{\sin(\theta)}[/tex]
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
In the first quadrant, the sine and the cosine angles are positive.In the third quadrant, the sine and the cosine angles are negative.Hence, the quadrants in which tan [tex]\theta[/tex] and cot [tex]\theta[/tex] are positive are I and III
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The homeowners association for a residential community is selecting a committee of 7. There are 24
candidates for positions. How many possible committees can be formed?
Answer:
Therefore the number of possible committee that can be formed is 346,104
According to the Internal Revenue Service (IRS), a single taxpayer with a tacable income between $63,550 and $132.600 in 2000 paid $14,382 plus 31% of the amount over $63.550. If Azim paid $23,665 in federal
income tax for 2000, then what was his total taxable income for the year?
Answer:
$93,495
Step-by-step explanation:
The tax amount is described as ...
t(x) = 14,382 +0.31(x -63550)
This can be simplified a bit to ...
t(x) = 0.31x -5318.50
Using 23,665 for the amount paid, we find the income to be ...
23665 = 0.31x -5318.50
28983.50 = 0.31x . . . . . . . . add 5318.50
93495.16 = x . . . . . . . . . . . divide by 0.31
Azim's total taxable income for the year was about $93,495.
_____
Typically, all amounts on an IRS tax form can be rounded to the nearest dollar. This holds both for the income and for the tax.
What is the y intercept
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.
The campers at a summer camp were asked to choose a favorite activity. The table shows the activities chosen by 200 campers.
Favorite Number of
Activity Campers
Softball 25%
Volleyball 15%
Rowing 10%
Swimming 30%
Hiking 20%
How many campers chose volleyball as a favorite activity?
There are 30 campers out of 200 who like volleyball.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given that, The campers at a summer camp were asked to choose a favorite activity. The total number of campers were 200.
Favorite Number of Activity Campers :-
Softball 25%
Volleyball 15%
Rowing 10%
Swimming 30%
Hiking 20%
We are asked to find campers chose volleyball as a favorite activity,
Since, 15% of the campers choose volleyball,
That mean, there are 15% of the 200 people who chose volleyball,
Therefore,
15% of 200 = 15 /100 × 200 = 30
Hence, there are 30 campers who chose volleyball.
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The lines shown below are parallel. If the green line has a slope of -, what is
יד
the slope of the red line?
10
O A.
5
ОА?
OB.
O B.
7
3
5
10
16
a
C.
Gruw
-10
O D.
OD
The slope of the red line is -3/7.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have two lines one is red and other is green.
As, the slope of green line is -3/7 and the red line is parallel to green line.
We know that the parallel lines have same slope.
Then, the slope of red line is -3/7.
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