Answer:1/64
Step-by-step explanation: I got it right
Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given is a pattern, which is the powers of 2.
The first term is 2⁻¹ = 1/2
The second term is 2⁻² = 1/ 2² = 1/4
The third term is 2⁻³ = 1 / 2³ = 1/8
The fourth term is 2⁻⁴ = 1 / 2⁴ = 1/16
The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32
The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64
So the value of a is 1/64.
Hence the value of a is 1/64.
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Find the missing angle measure. 50, x, and 100
Answer:
All angles in a triangle add up to 360
360-100-50 = 210
x = 210
Step-by-step explanation:
83 points .Ray has 16 coins in his pocket. 8 are quarters, and the others are nickels. Randall selects two coins at random from his pocket without putting the coins back in his pocket. Which answer choice best describes this event?
A. This is an independent event because he is not replacing the coin before drawing the next one.
B. This is a dependent event because he is not replacing the coin before drawing the next one.
C. This is an independent event because he could select a quarter and then a nickel.
D. This is a dependent event because he could select a quarter and then a nickel.
Answer:
C
Step-by-step explanation:
sorry if is wrong
This is an independent event because he could select a quarter and then a nickel. Then the correct option is C.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Ray has 16 coins in his pocket. 8 are quarters, and the others are nickels.
Randall selects two coins at random from his pocket without putting the coins back in his pocket.
This is an independent event because he could select a quarter and then a nickel.
Then the correct option is C.
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2/3b + 5 = 20 - b
b=???
Answer:
The correct answer is b=9
Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).
Answer:120/2.5%
Step-by-step explanation:
Thomas went to the store to buy a couple of items for his mother at the store. He purchased a gallon
of milk for $2.15, a gallon of orange juice for $4.68, and a loaf of bread for $2.49.
If the sales tax is 8.25%, what is the total cost?
Answer:
$10.09
Step-by-step explanation:
2.49 + 2.15 + 4.68 = 9.32
9.32 * 0.825 = 0.77
9.32 + 0.77 = 10.09
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What is the interquartile range of the numbers 9, 28, 16, 2, 33, 6, 10
Answer:
IQR = 22
Step-by-step explanation:
IQR Formula:
IQR = Q3 - Q1
In order you find Q3 and Q1, please follow these steps:
1. First, you need to order the list of numbers from least to greatest:
2, 6, 9, 10, 16, 28, 33
2. Then, you need to find the median, or the middle number.
2, 6, 9, 10, 16, 28, 33
3. In order to find IQR, you must find the first and third quartiles.
2, 6, 9, 10, 16, 28, 33
Q1 = 6
Q3 = 28
This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.
Now since you have Q1 and Q3, you follow the formula.
28 - 6 = 22
IQR = 22
When you convert 3,500,000,000,000 to scientific notation, the exponent
Answer:
The exponent is positive, and the exponent is 12
Step-by-step explanation:
120 Calories in 2 servings; 360 Calories in 6 servings are these two equal
The population f(x), in millions, of State A of a country after x years is represented by the function shown below: f(x) = 4(1.08)x The graph shows the population g(x), in millions, of State B of the country after x years: Graph of function g of x equals 2 multiplied by 1.08 to the power of x Which conclusion is correct about the population of State A and State B? The original population of State A was double of the original population of State B. The original population of State B was double of the original population of State A. The original population of State A was four times of the original population of State B. The original population of State A was equal to the original population of State B.
We want to compare the population equations for two given states.
The correct option is:
"The original population of State A was double of the original population of State B"
We know that the population of state A is given by:
f(x) = 4*(1.08)^x
While for state B, the population is given by:
g(x) = 2*(1.08)^x
We want to see which conclusion is correct about the population of state A and state B.
First, the general exponential growth equation is given by:
h(x) = A*(r)^x
Where A is the initial value and r is the rate of growth.
With this, we can see that f(x) and g(x) have the same rate, and f(x) has an initial value that is twice the one of g(x).
Then the correct option is "The original population of State A was double of the original population of State B"
Because the initial value represents the initial population.
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vicent is making a number sentence using 1,3 and 5. what is the missing digit? show your work out.
Simplify
114
11
1
1112
01
114
0 114
0 11 12
A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line relating parking costs to time (in hours).
Answer:
y=2x+5
Step-by-step explanation:
Answer:
you might not need the answer now, but for anyone else its a and part a is y=2x+5
Step-by-step explanation:
Is (2, 2) a solution of the inequality y < 3x - 5?
Answer: it’s not a solution or C
Step-by-step explanation:
the given point is (2,2) there is a x value and a y value
so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*
2 does NOT equal to 1
Answer:
Third option, It is not a solution.
Step-by-step explanation:
Help??
Anyone??
Need it in 3 min
7th grade math
Answer:
4.24 inches
Step-by-step explanation:
212/50
Answer:
4.24 inches
Step-by-step explanation:
To get the answer you divide 212 miles by 50 miles.
Just answer for a brainlist :-)
Which of the following equations has no solutions?
A.7x - 3x - 4 - 4
B.7x - 3x + 4 = 4
C.3(2x - 4) - 6(x - 2)
D.3(2x - 4) = 61X + 2)
the distance from earth to the sun is approximately 93 million miles about how many giga meters is this round to the nearest hundredth
Answer: 149.7
Step-by-step explanation:
I bought a car of 650,000 and
sold it for 520,000. Find the
lost Percent ?
Answer:
20% decrease in value.
Step-by-step explanation:
Do 650,000 divided by 100 to find what 1% of the original price is:
650,000 divided by 100 = 6,500
To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):
520,000 divided by 6,500 = 80 (percent)
So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed
Answer:
c because the distance is important
What is eighteen lots of twelve?
Answer:
216
Step-by-step explanation:
Lots of means multiplication so:
18 × 12 = 216
HOPE THIS HELPED
Use substitution to solve the system.
y = 2x+8
-3x+2y = 13
Step-by-step explanation:
Use substitution to solve the system.
y = 2x+8______equation1
-3x+2y = 13______equation2
sub y into equation 2
-3x+2(2x+8)=13
-3x+4x+16=13
x+16=13
x=13-16
x=-3
sub X into equation 1
y=2x+8
y=2(-3)+8
y= -6+8
y=2
x= -3 y=2
Jackie and her family went out for dinner for her birthday. The cost of the dinner before sales tax was $76.45. The family decides to tip 20% for the good service they received. How much did Jackie's family leave as a tip for her birthday meal?
Answer:
15.29 i think
Step-by-step explanation:
Solve & Share
Renee needs 32 strands of twine for an
art project. Each strand must be 1.25 centimeters long.
About how many centimeters of twine does she need?
Solve this problem any way you choose!
he need 26 centimeters
What is the length of the bedroom.
Answer:
[tex]10\sqrt{3}[/tex]
Step-by-step explanation:
The length of the bedroom would be [tex]4\sqrt{3}+ 6\sqrt{3}[/tex] which would equal [tex]10\sqrt{3}[/tex] because when 2 numbers have the same radical, you just add the number in front.
Answer:
14.69ft by 17.31 ft
Step-by-step explanation:
If you do 6 to the square root of 6 then you get 14.69 then you do the same for the other two and get 10.39 and 6.92 then you add those two new numbers up and get 17.31
Let f(t)=6−2t2. Evaluate f(t+1).
Answer:
f(t+1)= -4t+2
Step-by-step explanation:
Subsitute the given vaule into the function and evaluate.
A fair six-sided die is rolled. Find the probability of getting a 4.
Answer:
A fair six-sized die is rolled. Find the probability of getting at least a 4.
There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.
Twelve people together can clear a field in eighteen hours. In how many hours could
nine people have cleared the same field? (Assume that all people clear a field at the
same rate.)
Factor -6 out of 18z - 15
In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:
Given:
[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]
To find:
Factor=?
Solution:
[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".
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A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets will cost $12 and the volunteer has $75 total to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
Answer:
6.3
Step-by-step explanation:
10 blankets with an unidentified price plus 12 for shipping is equal to 75
10x+12=75
minus 12 from both sides
10x=63
divide 10 from both sides
x=6.3
Now, let's prove the answer is true.
10x+12=75
Replace x with 6.3
10(6.3)+12=75
10 times 6.3
63+12=75
75=75
The statement is true.
Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?
Answer:
1 gallon of gas= 38 miles
Step-by-step explanation:
152÷4= 38.
