Answer:
x=2
Step-by-step explanation:
32x ÷ 4 = 16
32x = 64
x = 2
Answer:
x = - 3.5
Step-by-step explanation:
32 * ( x + 4 ) = 16
x + 4 = 16 / 32
x + 4 = 0.5
x = 0.5 - 4
x = - 3.5
triple of a number x decreased by one
Answer:
3x-1
Step-by-step explanation:
if you triple x, you multiply x 3 times
3 is what percent of 12
Answer:
25%
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage of 3 in 12 is 25%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
3 and 12.
The percentage of 3 in 12.
= 3/12 x 100
= 1/4 x 100
= 25%
Thus,
The percentage of 3 in 12 is 25%.
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what is the r^2 value of the following data to three decimal places???
Answer:
0.783
Step-by-step explanation:
To find first r and then r square for the data
correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y
Cov (x,y) = E(xy) -E(x)E(y)
Hence calculations would be as follows:
x y xy
1 2 2
2 10 20
5 5 25
7 18 126
10 25 250
Mean 5 12 84.6
Cov E(xy)-E(x)E(y) 24.6
r 0.884640297
r^2 0.782588454
so answre is 0.783 after rounding off.
what is the domain of f(x) = 4^x?
Answer:
The domain are all real numbers, there are no restrictions on the value x can be the domain is the set of all real numbers.
Answer:
All real numbers.
D is the correct option.
Step-by-step explanation:
The given function is [tex]f(x)=4^x[/tex]
Domain is the set of x values for which the function is defined.
In this exponential function, no matter we take which x values, the function remains defined for all real values of x.
Therefore, the domain of the given exponential function is All real numbers.
D is the correct option.
Wyatt is training for a race. He will run 3 4 of a mile a day for 8 days. How far will Wyatt run altogether?
FAST!!!!!!!!!! PLZ im timed
Hello!
3 8 24 6
- x - = _ = - OR 6
4 1 4 1
Answer: 6 OR 6/1
Hope this helps! ~Pooch ♥
Answer:
6 miles.
Step-by-step explanation:
I believe your trying to say 3/4
3/4 x 8
3/4 x 8/1
24/4 = 6
Sin (3pi/4) =_____ please help!!!
[tex]sin\frac{3}{4}\pi=sin(\pi-\frac{\pi}{4})=sin\frac{\pi}{4}=\frac{\sqrt2}{2}[/tex]
The grade that a student scores on her math test is inversely proportional to the number of hours a week that she plays video games. She scores a 73.6 on a test when she plays 10 hours of video games per week. If this relationship continues at the same rate, what score can she expect on her math test if she plays video games for only 8 hours a week?
Answer:
She would make a 78.88% on a test if she played video games for only 8 hours a week.
Step-by-step explanation:
10 hours of video games=73.6% on a test.
8 hours of video games=x% on a test.
A proportion just doesn’t work out for this problem, so here’s what I did.
100-73.6=26.4
26.4 times .8 =21.12
100-21.12 equals 78.88
If you wanted to know what she would make on her test if she played video games for 6, 4, or 2 hours a week, you could do this.
78.88-73.6=5.28
There are increments of -5.28% for every 2 hours of video game play.
As you keep adding, here are the results.
6- 84.16%
4- 89.44%
2- 94.72%
0- 100%
After 18 hours of gameplay in a week, you would get 4.96% on a test, and then a 0 on not even completing the 19th hour.
Algebra 2 math problem
please help I am stuck on this.
Answer:
x=5
Step-by-step explanation:
[tex]\sqrt{3x+2} - \sqrt{2x+7} \\\\PLUG IN 5\\\\\sqrt{3*5+2} - \sqrt{2*5+7} = 0[/tex]
HELP!!! ASAP PLEASE
The answer is A. An equation is when two quantities are equal to each other, thus having an equal sign.
For question 1-4, find the simplified form of each expression.
1. (-3)^-4 (1 point)
A. 12
B.-81
C.1/81
D.-1/81
2. (-7.4)^0 (1 point)
A.-1
B.-7.4
C.0
D.1
3. -(5)^-1 (1point)
A.-1/5
B.-5
C.5
D.1/5
4. Simplify (1 point)
-(3ab^2)^-3
Answer:
1. C
2. D
3. A
4. [tex]\frac{-1}{27a^{3}b^{6}}[/tex]
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
An exponent is only a short cut for multiplication. It simplifies how we write the expression.When we multiply terms with the same bases, we add exponents.When we divide terms with the same bases, we subtract exponents.When we have a base to the exponent of 0, it is 1.A negative exponent creates a fraction.When we raise an exponent to an exponent, we multiply exponents.When we have exponents with parenthesis, we apply it to everything in the parenthesis.We will use these rules to simplify.
1. [tex](-3)^{-4} = -3*-3*-3*-3=\frac{1}{81}[/tex] Choice C.
2. [tex](-7.4)^{0}=1[/tex] Choice D.
3.[tex]-(5)^{-1}=\frac{-1}{5}[/tex] Choice A.
4. [tex]-(3ab^{2})^{-3} =-(\frac{1}{3ab^{2}*3ab^{2}*3ab^{2}})=\frac{-1}{27a^{3}b^{6}}[/tex]
Point M is the midpoint of AB. The coordinates of point A are (-7,2) and the coordinates of M are (-2,2). What are the coordinates of point B?
Answer:
(-9/2,2)
Step-by-step explanation:
Midpoint equals (x1+x2)/2, (y1+y2)/2
Answer:
(-9/2,2)
Step-by-step explanation:
What is the area of this parallelogram
20
28
30
35
How do I graph y=6x+4
The graph of the linear equation y = 6x + 4 is drawn below.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equation is given below:
y = 6x + 4
Convert the equation into intercept form, then we have
y = 6x + 4
6x - y = - 4
x / (-0.667) + y / 4 = 1
The graph of the equation is given below.
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1.) you have a credit card with an initial balance of $3,168 and an interest rate of 12.75 % APR if you make no payments on the car for 3 months how much is your balance by the end of the third month?
A.) $3,571.92
B.) $3,270.06
C.) $3,201.66
D.) $3,860.43
2.) your gross pay is $2,759 your involuntary deductions are FICA 7.65 percent Federal withholding 12% and state withholding 7% how much are you allowed for housing and fixed expenses?
A.) $772.52
B.) $993.24
C.) $728.54
D.) $566.64
3.) You are paid $8.25/hour. You work 35 hours/week for 3 weeks. Your involuntary deductions are FICA (7.65%), federal withholding (13%), and state withholding (9%). How much is your realized income?
A 203.13
B 866.25
C 288.75
D 609.39
Answer:
1.) [B]
2.) [C]
(3.) [D]
Step-by-step explanation:
1.) Initial amount = $3168
Annual percentage rate = 12.75
per month percentage rate = 1.06%
Interest after 3 months = P*R*T/100
= 3168*1.06*3/100
= 100.74 (aprox)
Balance after 3 months = 3168-100.74
= $3270.06 (aprox) (B.)
2.) Gross pay = $2759
Total interest rate = 7.65%+12%+7% = 26.65%
interest amount= 26.65% *2759 =$728.24 (aprox)
Housing and fixing expenses= $728.54 (C.)
3.) 1 hour = $8.25
1 week= 35 hours
3 weeks = 35*3 hours = 105 hours
Total income= 105 hours = $8.25*105= $866.25
Total interest to be deducted = 7.65+13+9 = 29.65 %
Income after deducting interest = $866.25-256.843 = $609.407
(D.)
The answers are:
1) C - $728.54
2) D - $609.39
3) B - $3,270.06
In the diagram, AB = AC. Solve for x. Pls I need help!
Crystal earns $5.50 per hour mowing lawns. Write a rule to describe the amount of money m earned is a function of the number of hours h spent mowing lawns. How does Crystal earn if she works 3 hours 45 minutes? Round to the nearest cent.
Answer: Crystal earns $18.98 working 3 hours and 45 minutes.
Step-by-step explanation: Since m is the amount of money earned and we are trying to find how much money Crystal earned in h hours, the function will be set up as m = 5.50(h). If Crystal works 3.45 hours, we can plug this number into h: m = 5.50(3.45), which gives us $18.975. Rounded to the nearest cent, the answer would be $18.98 because 5 rounds 7 up.
"If parallel lines have a transversal, then corresponding angles are congruent."
On the fence, lines A and B are parallel and line C is a transversal. How many pairs of corresponding angles are available on the picture to use to prove the theorem? Which given pair of angles can be used?
A) 2 pairs; ∠5 and ∠1;
B) 2 pairs; ∠5 and ∠7;
C) 4 pairs; ∠2 and ∠4
D) 4 pairs; ∠3 and ∠5;
Answer:
Option C. 4 pairs; ∠2 and ∠4
Step-by-step explanation:
we know that
In the figure
[tex]m<6=m<1[/tex] -----> by corresponding angles
[tex]m<3=m<7[/tex] -----> by corresponding angles
[tex]m<5=m<8[/tex] -----> by corresponding angles
[tex]m<2=m<4[/tex] -----> by corresponding angles
therefore
Are available [tex]4[/tex] pairs of corresponding angles
The answer is the option C
Susie has $15.66 to spend on lunch for herself and her friend. If she spends an equal amount on each person. How much will susie spend on each of them?
Answer:
7.83
Step-by-step explanation:
Susie will spend $7.83 on each person
Susie has a total amount of $15.66 to spend on lunch for both her and her friend
She wants to spend an equal amount on both her and her friend
Hence, since she wants to spend equal amount on herself and her friend it can be calculated as follows
= 15.66/2
= 7.83
Hence Susie will spend $7.83 on herself and friend
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a student was 48 inches tall in 5th grade. now, the student measures 60 inches tall on 8th grade. what is the percent increase of the studet's height
The height of the student increased by 25 percent from 48 inches in 5th grade to 60 inches in 8th grade.
Explanation:The student's height increased from 48 inches to 60 inches. To find the percent increase, we use the formula:
Percent Increase = ((New Height - Original Height) / Original Height) x 100%
Substituting the given values, we get:
Percent Increase = ((60 - 48) / 48) x 100%
Percent Increase = (12 / 48) x 100%
Percent Increase = 0.25 x 100%
Percent Increase = 25%
Therefore, the height of the student increased by 25 percent from 5th grade to 8th grade.
The student's height increased by 25% from 5th grade to 8th grade.
The percent increase in the student's height from 5th grade to 8th grade is calculated as follows:
First, determine the initial height in 5th grade, which is given as 48 inches.
Next, determine the final height in 8th grade, which is given as 60 inches.
The increase in height is the final height minus the initial height:
[tex]\[ \text{Increase in height} = \text{Final height} - \text{Initial height} \] \[ \text{Increase in height} = 60 - 48 \] \[ \text{Increase in height} = 12 \text{ inches} \][/tex]
To find the percent increase, divide the increase in height by the initial height and then multiply by 100:
[tex]\[ \text{Percent increase} = \left( \frac{\text{Increase in height}}{\text{Initial height}} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{12}{48} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{1}{4} \right) \times 100 \] \[ \text{Percent increase} = 0.25 \times 100 \] \[ \text{Percent increase} = 25\% \][/tex]
The correct option is [tex]\boxed{25\%}[/tex].
What are the real and imaginary parts of the complex number? 9+7i
An i is an imaginary value. So 7i is the imaginary part and 9 is the real part.
Hope this helps!!
Complex number is the number which is the combination of the real numbers and imaginary number. For the given complex number the real part is 9 and the imaginary part is 7.
Given information-
The complex number given in the problem is,
[tex]9+7i[/tex]
What is complex number?Complex number is the number which is the combination of the real numbers and imaginary number.
The complex number written in the form of,
[tex]a+bi[/tex]
Here [tex]a[/tex], [tex]b[/tex] are the real number and [tex]i[/tex] is the imaginary number called iota.
The value of the iota [tex]i[/tex] is,
[tex]i=\sqrt{-1}[/tex]
The complex number is made of two parts, the real part is [tex]a[/tex] and the imaginary part is [tex]b[/tex] for the above example.
Compare the given complex number with above complex number to find out the real and imaginary part of the complex number.
[tex]9+7i[/tex]
Here [tex]a[/tex] is 9 and [tex]b[/tex] is 7. Thus for the given complex number the real part is 9 and the imaginary part is 7.
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help me!! need help!!!!! 10 minutes due!
Answer:
3
Step-by-step explanation:
The slope is 3 because the equation is y=mx+b. If you add in the terms m=3 and b=0. It is y=3x. M is the slope, so the slope is 3!
Solve the system of equations.
Answer:
X=9 and Y=81
Step-by-step explanation:
For this case we have a system of two equations with two unknowns:
[tex]y = 9x\\y = 2x + 63[/tex]
Matching we have:
[tex]9x = 2x + 63[/tex]
subtracting 2x on both sides of the equation:
[tex]9x-2x = 2x-2x + 63\\7x = 63[/tex]
Dividing between 7 on both sides of the equation:
[tex]\frac {7x} {7} = \frac {63} {7}\\x = 9[/tex]
We find the value of y:
[tex]y = 9 (9)\\y = 81[/tex]
ANswer:
[tex]x = 9\\y = 81[/tex]
Find the slope of the line through each pair of points.
6) (-2,-1), (-1,0)
7) (-7,-4), (-13,-13)
8) (-14,-14), (-11,-9)
9) (17,-13), (-7,-13)
10) (7,4), (15,-18)
11) (4,14), (-2,17)
12) (-18,-10), (-18,15)
13) (13,-15), (14,-3)
14) (5,5), (-11,-6)
15) (3, -19), (-7,11)
Answer:
M=slope
(6) m=1
(7) m=3/2
(8)m=5/3
(9) m=0
(10) m=-11/4
(11) m=-1/2
(12) Undefined
(13) m=12
(14) m=11/16
(15) m=-3
Hope this would HELP
Step-by-step explanation:
Solve equation for a
[tex]\dfrac{3ax-n}{5}=-4\qquad\text{multiply both sides by 5}\\\\3ax-n=-20\qquad\text{add n to both sides}\\\\3ax=n-20\qquad\text{divide both sides by 3a}\neq0\\\\\boxed{x=\dfrac{n-20}{3a}}[/tex]
-46 times a number minus 19 is equal to 86 less the number
Answer:
-46 * x - 19 = -86
Step-by-step explanation:
this a word problem!
lets break it down
-46 times a number
this will be -46 * x
minus 19 is equal to 86 less the number
-46 * x - 19 = -86
To solve the equation "-46 times a number minus 19 is equal to 86 less the number", we can simplify the equation by combining like terms and isolating x. The solution is x = -105/45 or approximately -2.33.
Explanation:To solve the equation -46 times a number minus 19 is equal to 86 less the number, we can first simplify the equation. Let's call the number x. So, -46x - 19 = 86 - x. We can solve for x by combining like terms and isolating x on one side of the equation. Adding x to both sides gives -45x - 19 = 86. Then, adding 19 to both sides gives -45x = 105. Finally, dividing both sides by -45 gives x = -105/45, which simplifies to x = -7/3 or approximately -2.33.
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evaluate: 5–^2 =
WILL MARK AS BRAINLIEST
When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.
For example:
[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1}=\frac{1}{x^2}[/tex]
[tex]\frac{1}{y^{-2}}=\frac{y^2}{1}[/tex] or y²
So:
[tex]5^{-2}=\frac{1}{5^2}=\frac{1}{25}[/tex]
Your answer is B
The correct evaluation of [tex]5^{-2}[/tex] is [tex]\frac{1}{25}[/tex]
How to evaluate the expression?We know that [tex]a^{-b}[/tex] can be written as [tex]\frac{1}{a^{b} }[/tex]∴ [tex]5^{-2}[/tex] can be written as [tex]\frac{1}{5^{2} }[/tex]
So, [tex]5^{-2}[/tex] = [tex]\frac{1}{25}[/tex]
Option B is correct.
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The green line below
Answer:
A D E are all true. The others are false and should not be checked.
Step-by-step explanation:
A crosses the x axis at (- 2.5,0)
B is false. The line does not go through (0,0) which is the origin.
C is false. The green line is not perpendicular to anything.
D is true. It crosses the y axis at (0,5)
E is true. It is on the xy plane.
F is false. It is not parallel to either axis.
Which statement can be used to fill in the blank? (Pictures included)
Answer:
Look up the definition of that and then examples I’m in your class my names Joe
Step-by-step explanati
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour harvey runs at a constant rate what is his average speed in kilometers per hour
A rectangle has an area (x2-17x+72) square units.Since the area of a rectangle is determined using the formula, A= lw, what could be the length and width of the rectangle
Answer:
length: 9
width: 8
Step-by-step explanation:
you would need to factorise the equation in order to work out the length and width of the rectangle
so to factorise x^2 -17x +72, you will need to numbers that multiply to make 72 and add to make -17
the numbers are -9 and -8
so the factorised equation is (x-9)(x-8)
if you equate it to 0 you get 9 and 8 as values for x
since the length is longer than the width
the length is 9 and the width is 8