[tex]\\ \sf\Rrightarrow 4^x-4^{x-1}=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x-4^x4^{-1}=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x(1-0.25)=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x(0.75)=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x=32[/tex]
[tex]\\ \sf\Rrightarrow 2^{2x}=2^5[/tex]
[tex]\\ \sf\Rrightarrow 2x=5[/tex]
[tex]\\ \sf\Rrightarrow (2x)^x=(5)^x[/tex]
Answer:
Step-by-step explanation:
Let [tex]4^{x}=y[/tex], then we obtain that:
[tex]4^{x}-4^{x-1}=24\rightarrow y-(y/4)=24 \rightarrow \frac{3y}{4}=24[/tex]
So, we can get: [tex]3y=96 \rightarrow y = 96/3 = 32[/tex]
Now, because [tex]y=4^{x}=32[/tex], we can obtain the value of x as follows:
[tex]4^{x}=(2^{2})^{x}=(2^{5}) \rightarrow 2x = 5 \rightarrow x=5/2[/tex]
Then [tex](2x)^{x}=(2(5/2))^{5/2}=5^{5/2}=\sqrt{5^{5}}=25\sqrt 5[/tex]
There is no answer in your question.
Find the distance between the following pairs of points. Round the answer to two decimal places (-5,0) and (-5,3)
Answer:
3
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
How would I do this?
4b. If m
m
PLEASE HELP AND SHOW WORK PLEASE
Answer:
WAT = 28
Step-by-step explanation:
6x - 14 = 2x + 14
4x = 28
x = 7
WAT : 2(7) + 14 =
14 + 14 = 28
WAT = 28
I think you meant WAT not MAT right!???
HOPE THIS HELP
angle just is a right angle. the measure of angle mkl is 30 degree , the measure of angle jkm is x what is the value of x
Answer:
25
Step-by-step explanation:
Shelley’s pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
Write a proportion that compares the sales of these two items, and find the cross products.
The cross products are both equal to
Answer:
Its 21 on edenuity
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
select all of the terms that apply to the shape.
Answer:
pentagon + irregular polygon
Step-by-step explanation:
has 5 sides + a regular pentagon has all angles equal, this doesn't.
Choose the amount of money that is equal to 3 quarters.
7 dimes 2 nickels
6 dimes 2 nickels
5 dimes 3 nickels
6 dimes 3 nickels
Answer:
The answer is D.
Step-by-step explanation:
Key:
1 dime = $0.10
1 nickel = $0.05
Solve:
A. 70+10=80
B. 60+10=70
C. 50+15=65
D. 60+15=75, so D is correct.
I need help ASAP on this question.
The length of a rectangle is twice its width.the length is 4 1/2 feet.what is the area of the rectangle
Answer:
10.125
Step-by-step explanation:
Length= 4 1/2 feet
Width= 2 1/4
Area=Length x width
Area=4.5 x 2.25
=10.125
Let me know if this is not correct.
5 Recall Problem 3.1.4 where an archer hits a bull’s-eye with a probability of 0.09, and the results of different attempts can be taken to be independent of each other. (a) If the archer shoots a series of arrows, what is the probability that the first bull’s-eye is scored with the fourth arrow? 168 CHAPTER 3 DISCRETE PROBABILITY DISTRIBUTIONS (b) What is the probability that the third bull’s-eye is scored with the tenth arrow? (c) What is the expected number of arrows shot before the first bull’s-eye is scored? (d) What is the expected number of arrows shot before the third bull’s-eye is scored?
Answer:
(a). 0.0678.
(b). 0.01356
(c). 11.1
(d). 33.3
Step-by-step explanation:
So, we are given the following data or parameters that is going to help us or assist us in solving this particular problem or Question.
(1). We are given from the question that the archer to hit a bull’s-eye, the probability will be 0.09.
(2). "the results of different attempts can be taken to be independent of each other".
Therefore, let us delve right into the solution to the question.
(a). The probability that the first bull’s-eye is scored with the fourth arrow = P(a= 4) = P × ( 1 - P)^a -1.
P(a = 4) = 0.09 × (1 - 0.09) ^4 - 1.
P(a= 4) = 0.0678.
(b). The probability that the third bull’s-eye is scored with the tenth arrow = P(b= 10, y = 3).
P(b= 10, y = 3) = 36 (0.91)^7 × ( 0.09)^3 = 0.01356.
(c). The expected number of arrows shot before the first bull’s-eye is scored = 1/0.09 = 11.1.
(d). The expected number of arrows shot before the third bull’s-eye is scored = 3/0.09 = 33.3.
ERROR ANALYSIS
Christopher was asked to solve the question below. Review Christopher’s work. Do you agree or disagree with Christopher’s answer? Explain why you agree or disagree. If you disagree, correct Christopher’s work.
Triangle RTS has a vertices R (10,0) S (3,4) And T(4,2). what is the resulting image of S' after a vertical transition two units down and a horizontal transition four units to the right?
Christopher's work
(x-2,y+4)
S' (3,4)
S' (3-2,4+4)
S' (1,8)
Answer:
I agree with cristafers work
Step-by-step explanation:
The new coordinates of S' will be located at (1, 8) after translating 4 units right and 2 units down.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Given that Δ RTS has a vertices R (10,0) S (3,4) And T(4,2)
The original coordinate of S is (3,4).
To determine the image of S' after a vertical transition two units down and a horizontal transition of four units to the right
The y-coordinate will increase by 4 if we move it to the right.
This will then become 4+4 =8.
If we shift it downward, it will become negative and read as -2.
This will then become 3-2 = 1.
So, the coordinate of S' will be located at (1, 8)
Hence, the new coordinates of S' will be located at (1, 8) after translating 4 units right and 2 units down.
Learn more about the graph here:
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Austin worked for 13 hours each day for 5 days. Then the next day he worked 9 hours. How many hours did Austin work in all?
Answer:
74
Step-by-step explanation:
13x5+9=74
GIVING BRAINLIEST!!!
(please show how you got the answers for the 2 thanks:)
Answer:
a) [tex]1\frac{1}{4}[/tex]
b) [tex]46.69[/tex]
Step-by-step explanation:
a) To evaluate the value of this long expression, we can split it up into parts that are easy to calculate. [tex]2\frac{1}{3}+\frac{1}{2}-\frac{1}{12}[/tex] is equal to [tex]2+\frac{4}{12}+\frac{6}{12}-\frac{1}{12}[/tex] and since the fractions have the same denominators, you can add the numerators and keep the denominators. This would result in [tex]2\frac{9}{12}[/tex], which is [tex]2\frac{3}{4}[/tex] simplified. So, now we know that the first parentheses are equal to [tex]2\frac{3}{4}[/tex]. Next, we have to calculate [tex]2(\frac{1}{3}+\frac{1}{4})[/tex]. Using the distributive property to expand, we reach [tex]\frac{2}{3}+\frac{2}{4}[/tex] and we bring them both with a denominator of 12 and add to get [tex]\frac{7}{6}[/tex]. Finally, the last square root is equal to [tex]\frac{1}{3}[/tex] because [tex](\frac{1}{3})^2[/tex] is equal to [tex]\frac{1}{9}[/tex]. To find our final answer we put all of our answers together in the expression [tex]2\frac{3}{4}-\frac{7}{6}-\frac{1}{3}[/tex]. Bring all of these fractions to a denominator of 12 to get: [tex]2\frac{9}{12}-\frac{14}{12}-\frac{4}{12}[/tex]. We combine to get [tex]1\frac{1}{4}[/tex].
b) Similar to the previous part, we can split this expression into two parts to make it more manageable; [tex]-4.9(-12+\sqrt{0.81})[/tex] and [tex](2.2)^2*1.59[/tex]. Once we find the value of each, we will get our final answer by subtracting the second from the first (as shown in the expression). [tex]-4.9(-12+\sqrt{0.81})[/tex] is equal to [tex]-4.9(-12+0.9)[/tex] which is [tex]-4.9*-11.1[/tex] which is [tex]54.39[/tex]. [tex](-2.2)^2*1.59[/tex] is equal to [tex]4.84*1.59[/tex] which is [tex]7.6956[/tex]. To get the final answer, we do [tex]54.39-7.6956[/tex] which is [tex]46.6944[/tex]. Rounded to the nearest hundredth, it is [tex]46.69[/tex].
Hope this helps :)
What number is one-fourth of three hundred and sixty?
A.180
B.45
C.60
D.90
E.360
Hey there!
To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.
There's also another way - multiplying fractions.
[tex]\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}[/tex]
In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.
Look what happens when I multiply:
[tex]\bold{\displaystyle\frac{360}{4}}[/tex]
We can use mental maths to solve it.
Hence, the answer's 90.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
:-)
[tex]\bold{Somebody~Who~Loves~Helping~Others:-)}[/tex]
Help math exit ticket
Answer:
x = 15
Step-by-step explanation:
We can see that the angle with a measure of 37° and the angle with (9x + 8)° form a straight line, so they add up to 180°. This means that 37 + 9x + 8 = 180.
Step 1: Combine like terms.
[tex](9x)+(37+8)=180[/tex] [tex]9x+45=180[/tex]Step 2: Subtract 45 from both sides.
[tex]9x+45-45=180-45[/tex] [tex]9x=135[/tex]Step 3: Divide both sides by 9.
[tex]9x/9=135/9[/tex] [tex]x=15[/tex]Therefore, x = 15!
Find the weight in pounds of a 390 gram person.
Answer:
0.86 pound
Step-by-step explanation:
i just asked google:))
Which of the following lines is perpendicular to the line y = 5x +9? Y= -1/5x - 7 Y= 5x - 1/9 Y= -5x +1 Y= 1/5x + 9
Answer:
[tex]y=-\frac{1}{5} -7.[/tex]
Step-by-step explanation:
1) the rule: if two lines are y=k₁x+b₁ and y=k₂x+b₂ are perpendicular, then k₁*k₂=-1;
2) according to the rule above, the correct answer is y= -1/5 x-7.
Identify the center, the vertices, and the foci of the ellipses:
4x^2+y^2−16x−6y+21=0
Answer:
yasssssss
Step-by-step explanation:
Emma bikes 11.7 miles each day of the weekend and 6.5 miles each weekday.
How many miles will she have biked in 13 weeks?
(4,5) (0,8)
Slope intercept form
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{3}{-4}\implies -\cfrac{3}{4}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x+8[/tex]
Gareth has 15 total quarters and dimes with a total value of $2.10. A photo of a stack of quarters and a stack of dimes is shown. The system of equations can be used to solve for the number of each Gareth has. {Q+D=15 25Q+10D=210 Complete in the table to show the quantities and values of the coins Gareth has.
Answer:
4 Quarters and 11 Dimes
Step-by-step explanation:
In the first equation, we know that [tex]D=15-Q[/tex] If we plug this into the second equation, we get 25q+10(15-Q)=210. If we simplify this equation, we get 25q+150-10q=210, which can be simplified to 15q+150=210. And since 15q=60, q=4. Then, you subtract 4 from 15, to get 11 dimes. So, there are 4 quarters and 11 dimes. Hopefully, this helps!
A group of friends ordered two pizzas, one with pepperoni and one with mushrooms and green peppers. A plain pizza costs 9 dollars. Each extra topping costs 1 dollar. How much did the two pizzas cost?
1 pizza = 9 dollars
1 topping = 1 dollar
1. Let's gather the information
2 Pizzas
One pizza is a pepperoni
The other is a mushroom and green pepper
2. Make an equation for the question
x9 + y1 = ?
x = number of pizzas
y = number of toppings
3. Multiply x and y by the number given
2 x 9 + 3 x 1 = ?
2 x 9 + 3 x 1 = 21
Which means, the two pizzas had costed 21 dollars.
what is the sum of 4 and 2 raised to the third power
Answer:
216
Step-by-step explanation:
4+2=6
6^3=216
Find the Discriminant and describe the solutions for given quadratic 3² – 2x +3=0
Answer:
Discriminant is 6.
Step-by-step explanation:
9-2x+3=0
-2x+9+3=0
-2x+12=0
-2x+12-12=0-12
-2x=-12
-2x/-2 = -12/-2
x=6
Select the correct answer.
Which rectangles are similar?
pls help
The rectangles are similar to DEFG and VWXY
We have given the rectangle ABCD, QRSP, EFGD, and WXYV.
We have the rectangle DEFG and WXVY.
What is the rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
If we divide WV by 2 and VY by 2 then we get the side ED and DG
Therefore the given two rectangles are similar.
The rectangles are similar to DEFG and VWXY.
To learn more about the rectangle visit:
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Answer:
C
Step-by-step explanation:
I Just Took the Test.
What is the unit rate for 768 57 m 41 1h?
Enter your answer, as a decimal, in the box.
Answer:
768.57 / 41.1 = 18.7 m per hr
Step-by-step explanation:
Simplify
X^2(y^3)^4/xy^5= x^a•y^b
A=
B=
Step-by-step explanation:
step in image
a = 1
b = 7
thank you
A cube is 5 feet on each side. What is its volume?
125 ft 3
150 ft 3
25 ft 3
50 ft 3
Answer:
125 ft^3
Step-by-step explanation:
V = length x width x height so for a cube V= side^3
V= 5 x 5 x 5 or 5^3 = 125
Hope this helps!
What is the area of the parallelogram? Show your work. (5 points)
Answer:
6 squared feet
Step-by-step explanation:
The formula is b X h
so we can see that the base is 8 and the height is 3/4
so now the equation would be
8 x 3/4 which is equal to 6
so the area of this parallelogram is 6
Janice has 15 pets. Each of her pets is either a dog or a bird. If her pets have a total of 38 legs, how
many dogs and how many birds does Janice own?
Hi!
These can be set up as systems of equations.
Let b = the number of birds, and let d = the number of dogs.
b + d = 21
2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)
You can solve this using either elimination or substitution.
Consider marking brainliest.