Answer:
-4(3c + 4)(c + 1)
Step-by-step explanation:
Reorder the expression
-12c² - 28c - 16
Divide it by -4
3c² + 7c + 4
Factor it by multiplying a (3) and c (4), then finding 2 factors that add up to b (7)
Two factors of 12 that add up to 7 are 4 and 3.
Use 4c and 3c to substitute for 7c in the expression, and simplify
3c² + 7c + 4
3c² + 3c + 4c + 4
3c(c + 1) + 4(c + 1)
(3c + 4)(c + 1)
Since we factored out a -4 in the beginning, add this in front
-4(3c + 4)(c + 1)
Theo practices yoga for the same amount of time every day. After he practices yoga for 18 min on Saturday, he has finished 24% of his daily yoga practice. How many more minutes does Theo practice yoga on Saturday? Show your work.
Answer:
Theo practices yoga on Saturday 57 more minutes.
Step-by-step explanation:
With the information provided, you can find the total amount of minutes Theo practices yoga that would represent 100% using a rule of three considering that you know that 24% of his daily yoga practice is equal to 18 minutes:
24% → 18
100% → x
x=(100*18)/24=75
As you need to find how many more minutes does Theo practice yoga on Saturday, you have to subtract 18 minutes that is the amount he has already spent practicing yoga from 75 that is the total amount of minutes he practices yoga:
75-18=57
According to this, Theo practices yoga on Saturday 57 more minutes.
M varies directly as n, and m=14 when n=7 a) Write an equation that relates m and n b) find m when n=16 c) find n when m=30
Answer:a)m =K n
b)m = 32
c)n=15
Step-by-step explanation:
M varies directly as n can be expressed mathematically as
m ∝ n
Introducing the constant of proportionality, K, we have that
m =K n
Now when m=14 and n=7, K becomes
14=K X 7
K=14/7 = 2
b) find m when n=16
m =K n
m = 2 x 16=32
c) find n when m=30
m =K n
30=2 x n
n=30/2 =15
Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.
What is Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As we know that the value of m is directly varying with n, therefore, we can write the relationship as,
[tex]m \propto n[/tex]
Now, in order to remove the proportionality, we will add a constant,
[tex]m = kn[/tex]
As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,
[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]
We know the value of the constant k is 2, therefore, the equation can be written as,
[tex]m=2n[/tex]
Substitute the value of n as 16, to get the value of m,
[tex]m=2n\\m=2(16)\\m=32[/tex]
Hence, the value of m, when the value of n is 16 is 32.
Learn more about Expression:
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Giving brainlist to whoever answers
Answer:
84+ z =180
Step-by-step explanation:
42 x 2=84
84+ z =180
Drag each label to the correct location on the image.
Identify the information sources for consumers as either company sources or external sources.
1) customers rating a new
car model on a social
media site
grande03 avatar
2) a billboard sign for a
new car model
grande03 avatar
3) a blog comparing a
new car model to
its competitors
grande03 avatar
4) a television ad for a
new car model
Answer:
It’s company- 2 and 4
External- 1 and 3
Step-by-step explanation:
its right
Megan and Devon are working together in science class to build a terrarium for an herb garden. The plan for the terrarium, with some dimensions in centimeters (cm), is shown here. What is the volume of the terrarium?
Answer:
48,000,000
Step-by-step explanation:
just multiply them all
A gallon of milk costs $3 nowIf the price is increasing 10% per year, how long before a gallon of milk costs $10 a gallon? Round your answer to the nearest thousandth, and you do not need to include units
Answer:
The answer is 33 years.
Step-by-step explanation:
10% of 3 is .3
Just move the decimal to the left.
.3 times 33=9.9
9.9~10
Mrs. Logan traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Ms. Logan traveled during this time?
Answer:
55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?
Answer:
Distance between boat and light house = 223.88 meter (Approx.)
Step-by-step explanation:
Given:
Height of light house = 60 meters
Angle of depression to boat = 15°
Find:
Distance between boat and light house
Computation:
Using trigonometry application:
Tanθ = Perpendicular / Base
Tan 15 = Height of light house / Distance between boat and light house
0.268 = 60 / Distance between boat and light house
Distance between boat and light house = 60 / 0.268
Distance between boat and light house = 223.88 meter (Approx.)
1,345,456,234,234,345,234,-1234,567,890=? My subsititue is being mean so we can not use calculatars and I do not like to cheat anyway but in this case (yes)
Answer:
1,345,456,232,999, 777,344
Step-by-step explanation:
1,345,456,23 4, 2 3 4, 3 4 5, 2 3 4,
-1 2 3 4, 5 6 7, 8 9 0
1,345,456,23 2, 9 9 9, 7 7 7, 3 4 4
So we write the ones under the ones, tens under the tens starting from the right hand side.
The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.
So the process continues until we get the answer.
4 A group of 40 mountain goats has just been
transplanted to an area with the expectation
their population will increase exponentially by
30% each year. If f(x) represents their total
population and x is the number of years in the
future, which function models the situation?
Answer:
f(x) = 40 × (1.3)ˣ
Step-by-step explanation:
4. The given parameters of the population of mountain goats are;
The initial number of mountain goats, a = 40
The rate at which their population will increase, r = 30% = 0.3 exponentially
The total population after 'x' years is given by f(x)
For exponential growth, we have;
f(x) = a·(1 + r)ˣ
Plugging in the values, we get;
f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ
Please help me please help me please please someone can please help me this is way too hard please please please please please please please someone please help me
Answer:1 0.05806644 2 64.3818067 m2 3 10.8696557 m2 4 80.2682266 m2 0.13935456 m2 and 15.7935168 m2
Step-by-step explanation:
help em out pls and ill give brainliest
Answer:
- 10/5 = -2
- 1.25 = Box next to -2
0.75 = 2nd box facing the right
-0.5 = Box next to -1.25
3/2 = Last box facing the right
Answer:
-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.
Step-by-step explanation:
Q1. Matthew created a scale model of the Tower Bridge in London as
shown below. What is the value, in inches, of x?
60 feet
80 feet
12 in.
Answer:
hey bbs
Step-by-step explanation:
I think its 60 feetIf you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.
Answer:
If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.
Answer:
A rectangle
Step-by-step explanation:
A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid. In this case, a rectangle.
what is the measure of SPT?
Answer:
Step-by-step explanation:
The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.
HELPPPP ME FAST PLEASE
Answer:
B. 315 meters
Step-by-step explanation:
The length of the longer side of the lot on drawing = 6.3 cm
Given a scale of 1cm : 50 m
Let the length of the longer side be represented as x.
Therefore, the actual length of the longer side will be calculated as follows:
1:50 = 6.3:x
1/50 = 6.3/x
Cross multiply
x*1 = 50*6.3
x = 315
Actual length of the longer side of the lot = 315 meters
The measures of two complementary angles are m<1 = 16z- 9 and m<2 = 4z - 1. Find m<2
Answer:12
Step-by-step explanation:
How many combinations with repetition are allowed if n = 5 and r = 3?
120
125
10
35
Answer:
35
Step-by-step explanation:
Since repetition is allowed, we use the equation
((n+r-1)!/(r!(n-1)!) = 7!/(3!x4!) = 35
Please help!!!!!!!!!
Answer:
2
Step-by-step explanation:
The radical rule : [tex]\sqrt[3]{2^{3} }[/tex] = 2 when the number inside is greater than or equal to 0
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 57
Step-by-step explanation:
Angles of a triangle all add up to 180 so:
x + 78 + 45 = 180
x + 123 = 180
x = 180 - 123
x = 57
Please help me please I really need help
Answer:
See below
Step-by-step explanation:
The answer is attached
please answer this question for me
Answer:
200
Step-by-step explanation:
2*5=10
4*5=20
20*10=200
Please answer for brainliest
Answer:
Step-by-step explanation
+ \ x -
3 3
Insert three rational and three irrationall
no. between 150 and
and 0
160
Answer:
Step-by-step explanation:
Rational numbers:
(150+160)/2 = 310/2 = 155
(150+155)/2 = 305/2= 152.5
(155 +160)/2 = 315/2= 157.5
155, 152.5 , 157.5 are rational numbers between 150 and 160
Irrational numbers:
Irrational numbers are numbers that are non terminating and non repeating numbers
155.502003000.....
155.202002000......
156.3120578.......
Answer:
Required Answer :-1st rational number
= a + b/2
= 150 + 160/2
= 310/2 (1)
2nd rational number
Middle term of 150 and 160 is 155
= 150 + 155/2
= 305/2
3rd rational number
= 160 + 155/2
= 315/2
[tex] \\ [/tex]
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 greens?
Answer:
the probability of getting 2 greens is 2/13
Step-by-step explanation:
g(x)=x-3
f(x) = -2x + 2
Find g(f(x)
Answer:
- 2x - 1
Step-by-step explanation:
[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]
Help fast please due in 10 mins
Answer: 465
Step-by-step explanation:
have another one that I need done ASAP please and thank u!!!
Answer:
1/3
Step-by-step explanation:
(-6,0) (-3,1)
1-0/ -3 - -6 = 1/3
did u need to add water or take water away to get from the 4 cup mark to the 1 liter mark
Answer:
You have to add water.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
The decision to add water to meet the 4 cup mark of water would be:
Yes, the water must be added.
What is volume?"Volume" is described as the measure of a space that consists of length along with height and width.
Given that,
1 liter of water contains 1000 ml.
The capacity of a standard cup is 236.59 ml
If we take 4 cups, the total volume equals:
= 4 × 236.59
= 946.36 ml
Therefore, .23 cups or 53.64 ml of water would be required to be added.
Learn more about "Volume" here:
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.................................................................. help ,,,,,
Answer:
Possible answer: 5a/ -6
Step-by-step explanation:
Not 100% sure to be honest.