Answers
Answer:
x = 3
Step-by-step explanation:
using the rule of exponents
[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]
[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]
[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]
suince the bases on both sides are equal, then equate the exponents
2x = 9 - x ( add x to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
Related Questions
What's the equation of the line that passes through the points (–8,4) and (0,22)?
Answers
Answer:
c
Step-by-step explanation:
The diagram shows a right angled triangle 13cm, 24 degrees, what is the value of H?
Answers
Answer: h=11.9
Step-by-step explanation:
We know that the hypotenuse is 13 and we have the adjacent side of the angle 24. This means we can use cosine to solve.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(24)=\frac{h}{13}[/tex]
Multiply both sides by 13 to isolate h
[tex]cos(24)=\frac{h}{13} \\(13)cos(24)=\frac{h}{13}(13)\\13cos(24)=h[/tex]
h=11.9
You purchase Diamond Club Seats for the Cincinnati Reds upcoming game. You purchase 5 tickets for your favorite teachers. They are $175.000 each. Tax is 7.5% calculate the total cost of the tickets. Show work in the space provided.
Answers
175.000 * 7.5% (or .075)
= 13.125
divide by 5 because there are 5 tickets
= $ 2.625 or $2.63
Describe two ways to determine the maximum or minimum of the quadratic function f(x)= -3x²+27x-42. Find the maximum or minimum using each method
Answers
Answer:
Find by using 1st derivative test (tests slope) or 2nd derivative test (test concavity). Maximum is 18.75.
Step-by-step explanation:
The maximum of the equation is found when the slope is 0; therefore, take the derivative of the equation, find the critical point and find whether the function is increasing or decreasing around the critical point. To do this use test values within the interval of (-∞, 4.5) and (4.5, ∞). You then find that (-∞, 4.5) is increasing meaning there is a maximum. Plug in 4.5 into f(x) to find the y value.
Second method is using the 2nd derivative test. Find the second derivative and use the same method of testing intervals but instead plugging in test values to the 2nd derivative. You then find that f''(x) is < 0 meaning the function is concave down, thus having a maximum. Plug in 4.5 to find the y value.
Dana made a paper box that is 8 in. long, 5 in. wide, and 1in. high. It is shaped like a rectangular prism. What is the surface area of the box?
Answers
The circumference of a circle is 15(pie) centimeters. what is the area Of the circle in terms of (pie)
Answers
Answer:
56.25π cm^2
Step-by-step explanation:
circumference = 15π
diameter*π = circumference
diameter = 15π/π
radius*2 = diameter
radius*2 = 15
radius = 7.5
area = π*radius^2
area = π*7.5^2
area = 56.25π
Answer:
A = 56.25π cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
to find r use the circumference formula
C = 2πr
given C = 15π , then
2πr = 15π ( divide both sides by 2π )
r = 7.5 cm
then
A = π × 7.5² = 56.25π cm²
hope someone answer it
Answers
Answer:
9) A. ∠1 and ∠3
10) B. Angle 2
11) B. 110°
12) B. 70°
Step-by-step explanation:
Vertical angles: a pair of opposite angles formed by two lines intersecting. Vertical angles are congruent.
The vertical angles in the given diagram are ∠1 and ∠3 AND ∠2 and ∠4
These pairs of angles are equal, so: ∠1 =∠3 AND ∠2 =∠4
Therefore:
If ∠1 = 110° then ∠3 = 110°
If ∠2 = 70° then ∠4 = 70°
Which expression represents the surface area of the prism?
Answers
Answer:
D
Step-by-step explanation:
The corners are 2
The sides can be 5 or 3
3 is after 2 and 5 is before 2
Answer:
15 + 15 + 10 + 10 + 6 + 6
This is the sum of the areas of the 6 rectangular faces.
Hope this helped.
If , m-2/12=1/6then which of the following is true?
1. m + 2 = 2
2. 2 m + 2 = 5
3. m + 4 = 6
4. 2 m + 4 = 5
HELP ILL GIVE YOU 75 POINTS
Answers
m would need to equal 2/6 for the answer to be correct bc of pemdas
for 2. m is 9/6 which isn’t the bc 2/6 you need
for 4. m is 3/6 which u i s closer than 2 but still not right
for 1. m is 0 which is definitely not the right answer
and for 3. m is 2 which is not the same thing as 2/6
i wish i could help more but this all i got
pls pls pls help ill give you a dollar :)
Answers
Answer:
1296
Step-by-step explanation:
ignore the first answer
consider the right triangle shown. what are the values of sin x and cos x?
A. sin x = 5/13, cos x = 12/13
B. sin x= 12/13, cos x= 5/13
C. sin x= 13/5, cos x= 13/12
D. sin x = 13/12, cos x= 13/5
Answers
Answer:
A. sin x = 5/13, cos x = 12/13
What is the product of the binomials (4a – 1) and (2b 3)? 18ab – 3 8a2b2 10ab – 3 6ab 7a – 2b – 3 8ab 12a – 2b – 3
Answers
Binomials are polynomials with two terms.The product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The product of the binomial can be done as,
[tex](4a-1) \times (2b+3)\\\\= (4a \times 2b)+(4a \times 3)+(-1 \times 2b)+(-1\times 3) \\\\= 8ab+12a-2b-3[/tex]
Thus, the product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
Learn more about Polynomial:
https://brainly.com/question/17822016
Answer:
Answer is D
Step-by-step explanation:
Find x and y... Thanks!
Answers
But y Iam 60
Did the teacher add them together
Fred is training for a cross-country race. At practice last week, he ran 6. 25 miles in 1
1
4
hours. At that speed, how long would it take Fred to run 8. 5 miles?
Answers
Answer:
1.36
Step-by-step explanation:
Answer:
1.7 hours
Step-by-step explanation:
IXL is pain.
Dakota's wading pool has a volume of 8,640 cubic inches. Which could be the dimensions of the wading pool?
Answers
Answer:
Possible dimensions are 10, 4, and 216.
Step-by-step explanation:
All we have to do is find three numbers, that when multiplied, equal 8,640.
I found the numbers 10, 4, and 216.
urgentttt!!!! find the sum
Answers
Answer:
Step-by-step explanation:
4s2 + 19s + 7
————————
(s + 1)2 • (s + 3)
Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $12.00 of the total money is Peter's, how much do all five brothers have combined?
Answers
Answer:
$20.00
Step-by-step explanation:
t represents the total amount
0.25t = 5.00
Can you solve for t and answer?
Or logically
Peter's $5.00 is 1/4 (25%) of the total.
Therefore 4/4 is $20.00
Answer:
$40.00
Step-by-step explanation:
Peter's $12.00 is 30% of the total money all the brothers had.
$12.00 divided by 30% (.30) = $40.00
To double check, multiply $40.00 total money X Peter's share of 30%
$40.00 X 30% (.3) = $12,00
8) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answers
Answer:
A: y= -1x+1
B: y= 1/3x-3
Step-by-step explanation:
slope intercept form
y=mx+b
need help with 3 and 4
Answers
Answer:
Step-by-step explanation:
PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS
Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0
then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0
then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075
P
Answers
Answer:
ture,false,true,true,false,true
Step-by-step explanation:
it is very easy just read it carefuly and then add it up
Find the SURFACE AREA of the shape below.
Answers
Answer:
total surface area 84.72 m2
lateral surface area 68.44 m2
top surface area 8.14 m2
bottom surface area 8.14 m2
m2= squared btw
Which solution to the equation startfraction 3 over 2 g 8 endfraction = startfraction g 2 over g squared minus 16 endfraction is extraneous? g = –4 g = –4 and g = 16 neither g = –4 nor g = 16 g = 16
Answers
An equation is formed when two equal expressions. The equation has only one solution which is equal to 16.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation can be done in the following manner,
[tex]\dfrac{3}{2g+8} = \dfrac{g+2}{g^2-16}\\\\3(g^2-16)= (g+2)(2g+8)\\\\3g^2 - 48 = 2g^2+8g+4g+16\\\\3g^2-48=2g^2+12g+16\\\\3g^2-2g^2-12g-48-16=0\\\\g^2-12g-64=0\\\\g^2-16g+4g-64=0\\\\g(g-16) + 4 (g-16)=0\\\\(g-16)(g+4)=0[/tex]
Thus, we will get the value of g as -4 and 16. But if we substitute the value of g as -4, the equation will have 0 as the denominator on both sides.
Hence, the equation has only one solution which is equal to 16.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
D
Step-by-step explanation:
D
How do I do this? :(
Answers
the top and the bottom have the same area, the sides have the same area, and the front and back have the same area
let’s find the sides first:
to find the area of the sides, multiple 19 and 7
19x7=133
since there’re two sides (the left and right), you have to multiply the 133 by 2
133x2=266
now, let’s do the top and bottom:
multiply 48 and 19, since those are the dimensions
48x19=912
multiply this also by two bc the top and the bottom have the same area
912x2=1824
lastly, let’s find the front and back
multiply 48 and 7 to get 336
multiply that again by 2 to get 672
now, add up the three numbers we just found:
266+1824+672=2762
the surface area should be 2762
hope this helped!!
Answer:
2762 in²
Step-by-step explanation:
The total surface area of a figure is the sum of the areas of its faces.
Area of rectangle= length ×breadth
Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.
Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.
Surface area of the figure
= 2(7)(19) +2(48)(7) +2(48)(19)
= 266 +672 +1824
= 2762 in²
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 3/5
Angle Y
Angle A
Angle B
Angle C
Angle W
Angle Z
Answers
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
Colonel Mustard is making a candle by pouring melted wax into a mold in the shape of a cone. The radius is 6 cm, and the height of the cone is 11 cm. To get the wax for the candle, she melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Colonel Mustard need in order to make the candle? Show your work.
Answers
Answer:
Colonel Mustard would need to use 2 cubes of wax
pls give brainlyist
Step-by-step explanation:
first solve for area of cone
V = 1/3(BH)
1/3(18.84955592 * 11)
69.11503837cm^3
then solve for the cubes
B*H*W
4*4*4
64cm^3
divide the cone volume by the cubes volume and round up to the largest hole number
1.07992247
round up
2
Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months. a. $93.32 b. $95.40 c. $211.33 d. $253.60 please select the best answer from the choices provided a b c d
Answers
The monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
loan amount P = $3000
Rate of interest = 7.5% per annum
So, monthly rate of interest r= 7.5/12 %
Tenure n = 36 months
What is the formula to calculate monthly payments?The formula to calculate monthly payments is given
[tex]EMI=\frac{Pr}{1-(r+1)^{-n} }[/tex]...........(1)
Where P =loan amount
r = monthly rate of interest
n=tenure
So by substituting the given values in (1) the monthly payment = $93.32
Hence, the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
To get more about monthly payments visit:
https://brainly.com/question/25599836
What is the solution for the equation startfraction 5 over 3 b cubed minus 2 b squared minus 5 endfraction = startfraction 2 over b cubed minus 2 endfraction? b = –4 and b = 0 b = –4 b = 0 and b = 4 b = 4
Answers
An equation is formed of two equal expressions. The solution of the equation is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be written as,
[tex]\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4[/tex]
Thus, the solution of the equation is 4.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
c
Step-by-step explanation:
What is 0. 5¯7 expressed as a fraction in simplest form?
Answers
Answer:
5/7 cannot be simplified any further
Step-by-step explanation:
Please I really need help, and please don't try and play me becasue someone just put the wrong answer and juked 70 of my points :)
Answers
Answer:
[tex]113\° = \angle A[/tex]
Step-by-step explanation:
Given:
∠A = ∠B (Vertically opposite angles)∠A = 7x - 20∠B = 6x - 1If ∠A is equivalent to ∠B, then...
[tex]\implies 7x - 20 = 6x - 1[/tex]
Add 1 both sides:
[tex]\implies 7x - 20 + 1= 6x - 1 + 1[/tex]
Simplify both sides:
[tex]\implies 7x - 19= 6x[/tex]
Subtract 7x both sides:
[tex]\implies 7x- 7x - 19= 6x - 7x[/tex]
Simplify both sides:
[tex]\implies -19= -x[/tex]
Divide both sides by -1:
[tex]\implies \dfrac{-19}{-1} = \dfrac{-x}{-1}[/tex]
Simplify both sides:
[tex]\implies 19= x[/tex]
Substitute the value of x into "7x - 20" to determine ∠A:
[tex]\implies 7x - 20 = \angle A[/tex]
[tex]\implies 7(19) - 20 = \angle A[/tex]
Simplify the expression:
[tex]\implies 133 - 20 = \angle A[/tex]
[tex]\implies 113\° = \angle A[/tex]
Answer:
∠ A = 133
Step-by-step explanation:
Putting both angels together
Since,
m ∠ A = (7x-20)
m ∠ B = (6x-1)
Thus,
(7x-20) = (6x-1)
Solving for x:
7x - 20 = 6x -1
+20 +20
-------------------------
7x = 6x + 19
-6x -6x
-----------------------
1x = 19
x = 19
7(19) -20 = 113
6(19) - 1 = 113
Hence measure of m ∠ A = 113
~lenvy~
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth.