Answer:
(a^b)^c
=a^bc
so
7^24 is the answer
1.915812 × 10^20
Step-by-step explanation:
7^24
7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7
a. These triangles are proportional. Identify which sides match up between the two triangles. Please note sides are named from point to point so for instance the length 40 on triangle ABC is referred to as side AB. Make sure to identify all three pairs. b. Set up fractions with your side pairs to show proportionality. Do they all simplify down to the same fraction? If not please go back to Part A and remember that shapes can be rotated or reflected. Make sure to show your work demonstrating that the fractions are proportional. c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
Answer:
a)ab and yz, ac and xy, bc and xz
b)yz = xy = xz 30 = 37.5 = 45 3 = 3 = 3
ab ac bc 40 50 60 4 4 4
c)they are similar because all sides break down to ¾
Step-by-step explanation: this is what i did on my test
The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?
Answer:
197 adult tickets and 354 child tickets were sold for the event.
Step-by-step explanation:
Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:
22 - 14 = 8
551 x 14 = 7.714
9,290 - 7,714 = 1,576
1,576 / 8 = 197
551 - 197 = 354
197 x 22 + 354 x 14 = X
4.334 + 4.956 = X
Therefore, 197 adult tickets and 354 child tickets were sold for the event.
A random sample of 8 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars:
249 349 299 249 149 135
199169
Assume the population standard deviation is alpha = 85.
If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013.
Answer:
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]
Confidence interval:
We have the standard deviation for the population, so the z-distribution is used.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39
The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
Write the equation for the circle with center (2, 4) and radius 7 in standard form
Answer:
Step-by-step explanation:
Let's get the equation first and then look at the circle when it has been graphed.
(x - 2)^2 + (y - 4)^2 = 7^2
(x - 2)^2 + (y - 4)^2 = 49
You will notice that the center of the circle has been marked and it is at (2,4) just as the question required.Another point has been added. It is at (2,11).It is the radius of the circle11 - 4 = 7 which is the radius that has been requestedWhat is the area of the polygon below?
Answer:
area = 24 units squared
Step-by-step explanation:
area = 1/2 (base 1 + base 2) x height
area = 1/2 (4 + 8) x 4
area = 1/2 (12) x 4
area = 6 x 4
area = 24
help please ! i need it asap & do not put any typa link .
Answer:
SU = 32 and <SVT = 32
Step-by-step explanation:
math, i am pretty sure about the angle and positive on the diagonal
An account earns simple interest.
$1675 at 4.6% for 4 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
a. The interest earned is $307.40.
b. The balance of the account after 4 years is $1982.40.
What is simple interest?Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment. It is a fixed percentage of the principal amount that is added to the loan or investment balance over a specified period of time.The formula for simple interest is:
I = P * r * t
What is principal?In finance, the term "principal" usually refers to the initial amount of money that is borrowed or invested, excluding any interest or other fees that may be added on later.
In the given question,
a. To find the interest earned, we can use the formula:
Interest = Principal x Rate x Time
where Principal is the initial amount of money, Rate is the interest rate, and Time is the duration of the investment. Plugging in the given values, we get:
Interest = $1675 x 0.046 x 4
Interest = $307.40
Therefore, the interest earned is $307.40.
b. To find the balance of the account, we simply add the interest earned to the initial amount:
Balance = Principal + Interest
Balance = $1675 + $307.40
Balance = $1982.40
Therefore, the balance of the account after 4 years is $1982.40.
To know more simple interest, visit:
https://brainly.com/question/30824126
#SPJ1
I need help with this!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
Donut $2.50
Cupcake $4.25
Ice cream $3.80
I need help finding the equation
A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and
2 green marbles. You randomly choose one marble from the bag. (a) Find
the number of ways the event can occur. (b) Find the favorable outcomes
of the event.
1. Choosing red
2. Choosing green
3. Choosing yellow
4. Choosing not blue
Step-by-step explanation:
1) 4/12= answer --->1/3
2)2/12= -----> 1/6
3)3/12------>1/4
4) 1/9
its been so long since I did this so number 4 might be wrong
Determite weather the ordered pair is a solution of the linear equation x=y+1/2;(-5,-2)
Answer:
(y+1/2 ; y)
Step-by-step explanation:
hello : all ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :
(y+1/2 ; y)
(-5 ; -2) is not solution because y = -2 but -2+1/2 = -3/2 no -5
That is, what is the 142nd odd number?
Answer and step-by-step explanation:
I believe it is 287. I am not entirely sure, but I believe that is the answer.
How can I use coordinates to find distances determine perimeter and geometric shapes
Answer:
Step-by-step explanation:
sketch it out
A company charges a flat fee for shipping for items ordered online. This relationship can be represented by the equation y = x+5.50
. where x represents the cost of the items ordered and y represents the total cost including shipping.
Move numbers to the table to represent this relationship.
x
y у
1.50
2.00
8.50
5.00
15.50
1.50
1.00
2.00
2.50
3.00
4.00
3.50
4.50
5.50
6.00
6.50
7.00
5.00
7.50
8.00
8.50
9.00
9.50
10.00
10.50
11.00
12.50
11.50
12.00
14.00
13.50
14.50
13.00
15.00
15.50
16.00
16.50
I'm just borrowing a little amount of points thank you sm
-2, 6, -18, 54: Write an explicate formula for this sequence
Answer:
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Step-by-step explanation:
According to the eScience Lab Manual for Lab 1, Experiment 3, you need to prepare 65 ml of 60% soda/syrup prescription. To do this you can use the 80% soda solution and the syrup solution (0% strength) that you have in inventory. How many mls of soda solution do you need to create this final solution?
Answer:
16.25 mL
Step-by-step explanation:
Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;
Dilution equation is;
V₁C₁ = V₂C₂
Where;
V₁ is initial volume
C₁ is initial concentration or initial molarity
V₂ is final volume
C₂ is final concentration of final molarity
We are given;
C₁ = 80% = 0.8
C₂ = 60% = 0.6
V₂ = 65 mL
Making V₁ the subject in the dilution equation, we have;
V₁ = (V₂C₂)/C₁
V₁ = (65 × 0.6)/0.8
V₁ = 48.75 mL of inventory syrup
Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL
WHICH HAT HELP THANK YOU WHICH HAT HELP THANK YOU
Answer:
They're both cool but I personally like the first one better lol
una escuela debe transportar 200 estudiantes
Answer: a school must transport 200 students
Step-by-step explanation:
moby max help help help help
What is the area?
6 mi
4 mi
square miles
Answer:
12 sq mi
Step-by-step explanation:
base times height divided by 2
Answer:
12
Step-by-step explanation:
Formula for area of a triangle = length X width ÷ 2
so the equation would be (6 X 4) ÷ 2
which equals (24) ÷ 2
which is 12.
So the answer is 12
What expression is equivalent to 3/5
Answer:
9/15
Step-by-step explanation:
1
What is the measure of A?
The measure of A is: 78°
calcular el número de lados de aquel poligono cuyo número de diagonales.
Which of the following is an equation of the line that has a slope of - 3 and passes through the point (-6, 2)?
Answer:
y = -3x - 16
Step-by-step explanation:
m = -3 ; (-6 , 2)
Slope point form : y - y1 = m(x -x1)
y - 2 = -3(x - [-6])
y - 2 = -3(x + 6)
y -2 = -3x + 6*(-3)
y - 2 = -3x - 18
y = -3x - 18 + 2
y = -3x - 16
NEED HELP QUICK PLEASE HELP
Answer:135
Step-by-step explanation:
[tex]area \: = {135}cm^{2} [/tex]
Step-by-step explanation:
[tex] \: from \: the \: diagram \: we \: have \: 3\: retangles \: \\ [/tex]
area of rectangle = L×B 1 rectangle = 3×2=62 rectangular = 4×2 =8
3 rectangle = (13-2) × (7+4)
= 11×11 =121
total area = 6+8+121=135
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she descended 75.3 feet. How many feet had she been below sea level, if she was 154.6 feet below sea level after she descended?
1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?
A. (7,2)
B) (5,2)
C. (2,7)
D. (1,6)
Answer:
D. (1,6)
Step-by-step explanation:
Vertical line segment:
A vertical line segment has fixed x coordinate.
In this question:
Vertical line segment that is 4 units long and is connected to (1,2).
The x-coordinate is x = 1.
The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.
(1,6) is one of the options, so the correct answer is given by option D.
Help please I need the answer please don’t give link
Answer:
10 and 12
Step-by-step explanation:
the LCM of 10 and 12 is 60
10 and 12 have 2 as the least common factor between them
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!
Can the theoretical probability of the cup landing on its side be calculated based on the information given?
Answer:
If given enough information yes
Step-by-step explanation:
If you were given the weight and the distibution of the weight and the elasticity of the cup, as well as the trajectory of the cup and the force it was thrown at, and the proportions of the cup, its shape, where it's landing, etc. You could give a definitive probability. For example, If there is more weight at the bottom of the cup it might be less probable to land on it's side