Answer:
Step-by-step explanation:
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
v(-3) =
v(0) =
v(4) =
[tex]v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2[/tex]
4/5 2/3 13/15 7/9. Order fractions least to greatest
Answer:
2/3 7/9 4/5 13/15
Step-by-step explanation:
which fraction equals a repeating decimal 3/10 1/3 6/12 3/4
First turn them all into decimals.
Divide the numerator (top) by the denominator (bottom).
3/10 is .3 and doesn’t repeat.
1/3 is .333333.....
6/12 is .5, doesn’t repeat.
3/4 is .75, also doesn’t repeat.
1/3 is the repeating decimal.
True or false 16.-84.-184-284 is an arithmetic sequence?
O True
O False
Answer:
false
plz tell me if im wrong i hope i helped
Which unit should be used to measure mass of pencil?
Answer:
Grams
Step-by-step explanation:
Pencils are pretty light, so they should be measured in grams.
Answer:
grams :)
Step-by-step explanation:
I looked it up
Tom has cases of soda. If there are 12 cans in a case, how many cans does tom have?
Answer:54
4 1/2times 12
Convert 4 1/2 to an improper fraction.
9/2 times 12
Cancel the common factor of 2
9 times 6
Multiply
9 by 6 the you'll get 54
10 + (-4) Show Example
Answer:
6
Step-by-step explanation:
10
-6
=6
Adding a negative number is simply subtraction.
10-4=6
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Answer:
40/4 shaded in squares
Step-by-step explanation:
for 0.4, since 100 is a whole, multiply by 100.
0.4*100=40
shade in 40 squares
for 0.04, multiply by 100
0.04*100=4
shade in 4 squares
A carton has a length of fraction 2 and 1 over 6 feet, width of fraction 1 and 1 over 5 feet, and height of fraction 2 and 1 over 2 feet. What is the volume of the carton?
Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
Answer:
$29.16
Step-by-step explanation:
Each gallon of gas is $2.16.
13.5 gallons of gas is 2.16 (13.5) = $29.16.
PLEASE HURRY IM GIVING BRAINLIEST AND 50 POINTS!!! for the function g(x) = x - 2x^2, find g(-3) + 13
Hey there! I'm happy to help!
If we have g(-3) we plug -3 into our function as x.
-3-2(-3)²
-3-2(9)
-3-18
-21
g(-3) is -21, so now we just add 13.
-21+13=-8
The answer is -8.
Have a wonderful day! :D
Why did I get this question wrong?
Step-by-step explanation:
∫ 9 arctan(1/x) dx
If u = 9 arctan(1/x), then:
du = 9 / (1 + (1/x)²) (-1/x²) dx
du = -9 dx (1/x²) / (1 + (1/x²))
du = -9 dx / (x² + 1)
If dv = dx, then v = x.
∫ u dv = uv − ∫ v du
= 9x arctan(1/x) − ∫ -9x dx / (x² + 1)
= 9x arctan(1/x) + 9/2 ∫ 2x dx / (x² + 1)
= 9x arctan(1/x) + 9/2 ln(x² + 1)
Evaluate from x=1 to x=√3.
[9√3 arctan(1/√3) + 9/2 ln(3 + 1)] − [9 arctan(1) + 9/2 ln(1 + 1)]
[9√3 (π/6) + 9/2 ln(4)] − [9 (π/4) + 9/2 ln(2)]
(3π√3)/2 + 9/2 ln(4) − (9π/4) − 9/2 ln(2)
(6π√3)/4 + 9 ln(2) − (9π/4) − 9/2 ln(2)
(6π√3 − 9π)/4 + 9/2 ln(2)
Answer:
[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]
Step-by-step explanation:
We are given the integral 9 arctan(1/x)dx on the interval x[ from 1 to √3 ].
Now let's say that u = arctan(1/x). The value of 'du' would be as follows:
du = - x / (1 + x²) * dx
If we apply integration by parts, v = 1, and of course u = arctan(1/x):
=> 9x arctan(1/x) − ∫ -9x dx / (x² + 1)
=> 9[x arctan(1/x) - ∫ - x / (1 + x²) * dx] on the interval x[ from 1 to √3 ]
Let's now simplify the expression ' ∫ - x / (1 + x²) * dx':
=> (Take the constant out, in this case constant = - 1), - ∫ x / (1 + x²) * dx
=> (Apply u-substitution, where u = 1 + x²), - ∫ 1/2u * du
=> (Take constant out again, in this case 1/2), - 1/2 ∫ 1/u * du
=> (Remember that 1/u * du = In( |u| )), - 1/2In( |u| )
=> (Substitute back 'u = 1 + x²), - 1/2In| 1 + x² |
So now we have the expression '9[x arctan(1/x) + 1/2In| 1 + x² |]' on the interval x[ from 1 to √3 ]. Let's further simplify this expression;
[tex]9\left[x\arctan \left(\frac{1}{x}\right)+\frac{1}{2}\ln \left|1+x^2\right|\right]^{\sqrt{3}}_1\\\\=> 9\left[\frac{1}{2}\left(2x\arctan \left(\frac{1}{x}\right)+\ln \left|1+x^2\right|\right)\right]^{\sqrt{3}}_1[/tex]
Now computing the boundaries we have the following answer:
[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]
john is going to invest $1234 at 9% simple interest. how long will it take for it to be worth $2308? use I=Prt and solve
Answer:
approximately 21 years
Step-by-step explanation:
-From the problem, we are given the equation I = Prt
-We're also given three numbers
-From that, we can determine which number should be plugged into the equation:
P = $1234 (this is the principle amount/original amount)r = 0.09 (this is the rate of simple interest)I = $2308 (this is the ending amount)-The only value we are not given is t as we need to solve for this value
-Now plug all these values into the equation:
I=Prt$2308 = ($1234)(0.09)t$2308 = 111.06tDivide both sides by 111.06t = 20.7816It takes approximately 21 years for the investment amount to be worth $2308.
Is the following number an integer?
30/6
Answer:
NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
how do you multiply a fraction with a mixed number
Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.
Step-by-step explanation:
By multiply fraction by a mixed fraction you will have to rewrite the mixed number as an improper fraction.
For example ,
1 1/2 is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.
Rewrite the following linear equaton in slope intercept form Y-5=3(x+1)
Sally took 3 tests. Her average on these tests will give her her grade. Find Sally’s grade.
Scores: 65 90 85
Answer:
80
Step-by-step explanation:
Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=4 passing through (7,5)
What is the point-slope form of the equation of the line?
?
Answer:
Step-by-step explanation:
y - 5 = 4(x - 7)
y - 5 = 4x - 28
y = 4x - 23
Aaron is a high school graduate working as a retail clerk. He earns a median salary for a high school graduate. Aaron is thinking about going to college to get an associate's degree. If he completes his degree in 2 years and college costs total $30,000, how long will it take Aaron to recover his investment, assuming that he earns the median salary and continues to work full time while he is attending school? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. about 2.5 years b. about 5.5 years c. about 8.5 years d. about 11.5 years
Answer:
i would say c
Step-by-step explanation:
Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.
The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.
What is the slope?The slope is the rate of change of y-axis with respect to x-axis.
We know that equation of a line in slope intercept form is y = mx + b.
To find the y-intercept b we will substitute the value of m and point (x,y).
∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,
-5 = -(2/5)×10 + b.
-5 = -4 + b.
b = -1.
So the given equation of the line is y = (-2/3)x - 1.
learn more about slope here :
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Factor by grouping.
8y2 + y + 40y + 5
Evaluate 4-0.25g+0.5h when g=10 and h=5
Answer the question in the file
Answer:
30
Step-by-step explanation:
50-2×(3^2+1)
50-2×(9+1)
50-2×(10)
50-20
30
Hey there!
ANSWER: [tex]30[/tex]EXPLANATION:[tex]50-2*(3^2+1)=?[/tex]
You will need to use the order of operations to solve. We will need to start with parenthesis. The parenthesis includes exponents which comes after.
[tex](3^2+1)=10[/tex]
Now go to multiplication.
[tex]2*10=20[/tex]
Now move to subtraction since that's what we have left.
[tex]50-20=30\\30(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
A footballer scores in one out of five matches. What percentage of the matches does the footballer score in?
Answer:
20%
Step-by-step explanation:
100 divided by 5 =20 20x1=20
3
Simplify the following expression.
99 + 5 [15 – (17 - 6)]
O A.
229
ОВ.
119
OC.
163
Reset
Submit
2 of 10 Answere
Answer:
416 is your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Answer:
119
Step-by-step explanation:
Following the order of operations as stated in PEMDAS
Given
99 + 5 [ 15 - (17 - 6) ] ← evaluate parenthesis
= 99 + 5 (15 - 11)
= 99 + 5( 4) ← evaluate multiplication
= 99 + 20 ← evaluate addition
= 119
simplify. can you please help? I don’t know how to do negative exponents. And I forgot how to do exponents.
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
Answer:
D
Step-by-step explanation:
♡ The Question ♡
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be the first choice, A!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips provided!
Luke Skywalker mixes bantha milk that is 16% protein with tauntaun milk that is 9% protein. How many pounds of each should he mix to get a 350-pound mixture that is 12% protein?
b = amount of bantha milk
t = amount of tauntaun milk
b + t = 350
0.16 b + 0.09 t = 0.12(b + t) = 42
t = 350 - b
0.16 b + 0.09 (350 - b) = 42
0.16 b + 31.5 - 0.09 b = 42
0.07 b = 10.5
b = 150
t = 200
Suppose two trains leave a station at the same time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 4.5 hours, the trains are 432 miles
apart. Find the speed of each train.
Train A's speed = x
Train B's speed = x + 10
4.5(x + x + 10) = 432
Distribute both sides by 4.5
x + x + 10 = 96
Combine like terms.
2x + 10 = 96
Subtract 10 from both sides.
2x = 86
Divide both sides by 2
x = 43
Train A = x = 43 mph
Train B = x + 10 = 43 + 10 = 53 mph
Speed is the ratio of distance and time.
Speed = Distance /Time
Distance = Speed x Time
If Train B travels 10 mph faster than Train A.
The speed of train A is 48 mph.
The speed of train B is 58 mph.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
Example:
The speed of a car moving 4km in 2 hours is 2km per hour.
We have,
Train A:
Speed = x
Train B:
Speed = x + 10
Speed = Distance / Time
Distance = Speed x Time
At time = 4.5 hours, the train is 432 miles apart.
This can be written as,
Distance = (Speed of train A + Speed of train B) x Time
432 = (x + x + 10) x 4.5
Divide both sides by 4.5.
432 / 4.5 = 2x + 10
96 = 2x + 10
Subtract 10 on both sides.
96 - 10 = 2x
86 = 2x
Divide both sides by 2.
2x = 96
x = 96/2
x = 48
Now,
x + 10 = 48 + 10 = 58
Thus,
If Train B travels 10 mph faster than Train A.
The speed of train A is 48 mph.
The speed of train B is 58 mph.
Learn more about speed here:
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Suppose 7 quarters, 4 dimes, 4 nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the box?
First, let's get the total amount of coins inside the box.
7 quarters + 4 dimes + 4 nickels + 3 pennies = 18 total coins.
(7 quarters / 18 coins) * 100 = 38.89% chance of picking a quarter
(4 dimes / 18 coins) * 100 = 22.22% chance of picking a dime
(4 nickels / 18 coins) * 100 = 22.22% chance of picking a nickel
(3 pennies / 18 coins) * 100 = 16.67% chance of picking a dime
Since the quarters have a higher percentage of being picked, we can expect to draw $0.25 from the box