Answer:
[tex]\frac{1}{64}[/tex] makes the statement true.
Step-by-step explanation:
Given expression,
[tex]8^{-2}[/tex]
By using the property of exponent, i.e. [tex]a^m=\frac{1}{a^{-m}}[/tex]
[tex]\implies 8^{-2}=\frac{1}{8^{2}}[/tex]
[tex]=\frac{1}{64}[/tex]
Hence, the true statement would be,
[tex]8^{-2}=\frac{1}{64}[/tex]
The initial amount of people that are sick with the flu is 36 and growing at a rate of 8% every day.
How many people will be sick with the flu in 11 days?
In the united states sales tax is added to items that you purchase.the rate of sales tax varies by state and sometimes by country or region
4x-6=10x-3
?? i am bad at math lol
Bill makes four payments a year of $128.25 for life insurance; four payments of $161.82 for real estate taxes; twenty-four payments of $37.46 for health insurance; and six payments of $221.65 for auto insurance. What is the total of his annual fixed expenses for these items?
To calculate the total annual fixed expenses, we multiply the number of yearly payments by the amount of each payment for the different insurances and taxes, and then add these products together to find that the annual fixed expenses total $3,388.74.
The student has asked to calculate the total of his annual fixed expenses for life insurance, real estate taxes, health insurance, and auto insurance. To determine this, we will multiply the amount of each payment by the number of times the payment is made annually and then sum these amounts to get the total yearly expense:
Life Insurance: 4 payments of $128.25
Real Estate Taxes: 4 payments of $161.82
Health Insurance: 24 payments of $37.46
Auto Insurance: 6 payments of $221.65
Now, we calculate each:
Life Insurance: 4 imes $128.25 = $513.00
Real Estate Taxes: 4 imes $161.82 = $647.28
Health Insurance: 24 imes $37.46 = $898.56
Auto Insurance: 6 imes $221.65 = $1,329.90
Adding these amounts gives us the total annual fixed expenses:
$513.00 (Life Insurance) + $647.28 (Real Estate Taxes) + $898.56 (Health Insurance) + $1,329.90 (Auto Insurance) = $3,388.74 as the annual fixed expenses.
Which of the following is a factor of 2x4 + 22x3 + 60x2?
2x3
x4
x + 4
x + 5
Answer
One factor of the equation [tex]2x^{4} + 22x^{3} + 60x^{2}[/tex] is x + 5 .
Option (d) is correct.
Reason
As the equation in the question is as follows
[tex]= 2x^{4} + 22x^{3} + 60x^{2}[/tex]
simplify the above
Taking 2x² as a common part
= 2x²(x² + 11x + 30 )
= 2x² (x² + 5x + 6x + 30)
= 2x²(x(x+5) +6(x + 5))
= 2x²(x + 5)(x + 6)
Therefore the factors are 2x² , (x +5) , (x + 6) .
Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet?
Describe the kernel and range of (a) the orthogonal projection on the xz -plane (b) the orthogonal projection on the yz-plane (c) the orthogonal projection on the plane defined by the equation y=x ...?
What is the quotient of 6,523÷7=?
$29,000;$4 decrease find the new amount given the original amount and the percent of change.
Simplify.
2+{8−2[32+5(1+2)]}
Answer:
-84 is the answer.
Step-by-step explanation:
The given expression is 2 + {8 - 2[32 + 5(1 + 2)]}
We will start solving the inner most parenthesis first.
2 + {8 - 2[32 + 5×3]}
Further solve the parenthesis having the addition of 32 and 15
= 2 + {8 - 2[32 + 15]}
= 2 + {8 - 2×[47]}
Finally we will solve the last parenthesis.
= 2 + {8 - 94}
= 2 + {-86}
= 2 - 86
= -84
Denver is called the mile-high city because it is at an altitude of 1 mile. how many feet is the
How does the graph of g(x) 1/x+4-6 compare to the graph of the parent function f(x) 1/x
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
Option 4- Graph of g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
Given : Graph of [tex]g(x)=\frac{1}{x+4}-6[/tex]
To find : How does the graph of g(x) compare to the graph of the parent function [tex]f(x)=\frac{1}{x}[/tex]
Solution :
The graph f(x) is being translated to form the graph g(x).
In graph [tex]g(x)=\frac{1}{x+4}-6[/tex] there is
Translation of 4 unit left and 6 unit downward.
In graph f(x) if we shift the graph with 4 unit left it form
f(x)→f(x+b) , the function is shifted towards left with b unit.
So, [tex]f(x)=\frac{1}{x+4}[/tex]
In graph f(x) if we shift the graph with 6 unit downward it form
f(x)→f(x)-a , the function is shifted downward with a unit.
So, [tex]f(x)=\frac{1}{x+4}-6[/tex]
Therefore, Option 4 is correct.
Graph of g(x) is shifted 4 units left and 6 units down from f(x).
How do the prefixes in the metric system relate to the basic units?
Answer:
The prefixes in the metric system are used to modify the basic units. The prefixes either make the unit a larger measurement, as in the case of meter to kilometer, or they make the unit a smaller measurement, as in the case of meter to millimeter.
Step-by-step explanation:
Mark has a baking tray with 24 muffins and the muffin are arranged in 4 equal rows how many are there in each row
A model rocket is launched with an initial upward velocity of201ft/s . The rocket's height h (in feet) after t seconds is given by the following. h=201t -16t^2
Find all values of for which the rocket's height is 93 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
...?
The values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
A model rocket is launched with an initial upward velocity of 201ft/s.
The rocket's height h (in feet) after t seconds is given by the following:
h = 201t -16t²
The above equation is parabolic.
Plug h = 93 feet
93 = 201t - 16t²
16t² - 201t + 93 = 0
After solving with the quadratic formula:
[tex]\rm t_{1,\:2}=\dfrac{201\pm \sqrt{201^2-4\left(16\right)\left(93\right)}}{2\left(16\right)}[/tex]
t = 0.481, 12.081
or
t = 0.48, 12.08 secods
Thus, the values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
Explain how you use the bar model to solve 14-7 equal seven
a cable installer charges $42.50 per hour plus a $45.00 service charge. your fathers firm hires him to hook up his companys internet service. find the total charges if it takes the cable installer 5 hours to complete the task? ...?
Answer: $257.50
Step-by-step explanation:
Total charges of 5 hours paid by father = Charges of cable installer for 5 hours + Service Charge
Charges of cable installer per hour = $42.50
Charges of cable installer for 5 hours = 5 × 42.50 = $212.50
Additional service charge by him = $45.00
So, total charges of 5 hours paid by father = $212.50 + $45.00 = $257.50
whats x?
16x - 4x = -48
If possible, can you show your steps
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x + y = 10000 If y = 87.5, what is the value for x? 300x + y = 10,000 300x + (87.5) = 10,000 300x + 6,250 = 10,000 x =
Answer:
12.5 :) enjoy
Final answer:
To find the value of x in the linear equation 300x + y = 10000 where y = 87.5, we substitute the value of y into the equation and solve for x. The value of x is approximately 33.04.
Explanation:
To find the value of x, we can substitute the given value of y into the equation and solve for x.
Given equation: 300x + y = 10000
Substituting y = 87.5 into the equation:
300x + 87.5 = 10000
Subtracting 87.5 from both sides:
300x = 10000 - 87.5
Simplifying the right side:
300x = 9912.5
Dividing both sides by 300:
x = 33.04
Therefore, the value of x is approximately 33.04.
You are purchasing office supplies. Because of the volume of your orders your company receives 15% off all purchases. You buy a case of paper for $24.95 and a toner refill at $35.99. You find discontinued ink for $49.95 at 50% off. The local sales tax is 4.5%.What did you spend?
$73.03
$76.32
$85.92
$89.78
A 13 foot ladder is leaning against a wall. If the point where the ladder meets the wall is 12 feet above the ground, how far from the base of the wall is the the ladder?
A) 1 foot
B) 2 feet
C) 5 feet
D) 22 feet
Heather has $500 in her savings account. she withdraws $20 per week for gas. write an equation heather can use to see how many weeks it will take her to have a balance of $220.
The inequality x + 2y ≥ 3 is satisfied by which of the following points? (Select all that apply.)
1. (1,1)
2. (-3,4)
3. (-2,2)
4. (5,-2)
Answer:
answer 1 and 2 are the correct ones.
Step-by-step explanation:
please help me I really need it.
Answer:
(x, y, z) = (-5, -1, 0) (x, y, z) = (-8, -7, 5)Step-by-step explanation:
1. A graphing calculator or equation-solving web site can tell you the solution is (-5, -1, 0).
As is sometimes the case with multiple-choice questions, you can choose the "consensus answer".
For x, -5 appears in 3 of 4 answer choices.
For y, -1 appears in 3 of 4 answer choices.
For z, 0 appears in 3 of 4 answer choices.
Thus, the "consensus" is that the answer is (-5, -1, 0). Choosing this one to check can shorten the work of checking the answer choices.
-5 +5(-1) +4(0) = -10 . . . first equation can use this answer2(-5) -(-1) +5(0) = -9 . . . second equation can use this answer2(-5) -10(-1) -5(0) = 0 . . . third equation can use this answerSo, by "guess and check" we have determined the solution to be (-5, -1, 0).
__
2. First of all, you can substitute the given value of z into the other two equations. Then you have ...
2x -y +5 = -4-2x +3y -5 = -10The first of these equations can be solved for y:
y = 2x +9
and this can be substituted for y in the second of these equations:
-2x +3(2x +9) -5 = -10
4x +22 = -10
4x = -32
x = -8
and ...
y = 2(-8) +9 = -7
So this solution, too, is the "consensus solution," ...
(x, y, z) = (-8, -7, 5)
0.00014s in scientific notation? ...?
In the fall, you go to the local nursery and purchase a package of 10 rose plants. The clerk informs you that on average you can expect 5% of the plants to not live through the winter. Assume that the plants are a random sample.
a) Use the binomial formula to determine the probability that one or more of the plants will not survive the winter.
b) What is the probability that all the plants will survive? Write how the binomial formula is used to calculate the probability.
m<AOB = 4x - 1; m<BOC = 2x + 15; m<AOC = 8x + 8
Find the value of x.
By setting up an equation using the measures of adjacent angles AOB, BOC, and AOC, we find that the sum of AOB and BOC equals AOC. Simplifying and solving for x gives us the value of x as 3.
Explanation:To solve for the value of x given the measures of angles AOB, BOC, and AOC, we have to use the fact that the sum of the angles AOB and BOC is equal to the angle AOC since the angles are adjacent to each other.
By setting up an equation where m + m equals m, we have:
(4x - 1) + (2x + 15) = (8x + 8).
Upon simplifying, we combine like terms to get:
4x + 2x - 1 + 15 = 8x + 8,
which simplifies to 6x + 14 = 8x + 8. To solve for x, we need to move the terms involving x to one side and the constant terms to the other side. Subtracting 6x from both sides of the equation yields:
14 = 2x + 8,
and then subtracting 8 from both sides gives us:
6 = 2x,
Divide both sides by 2, and we find that:
x = 3.
two consecutive odd negative integers have a product of 483, find the integers ...?
At 3:00 PM a man 143 cm tall casts a shadow 150 cm long. At the same time, a tall building nearby casts a shadow 180 m long. How tall is the building?
How to do 4 3/4 -9 2/3?