The product of 13×13 is 169 or it can also be written as 13².
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, A product two same numbers 13.
Now, 13×13 which equals 169.
Again 13×13 written in terms of exponents is,
= 13¹×13¹.
= 13².
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A backpacker started his day at an elevation of x feet above sea level. After a day of hiking, the backpacker was at sea level.Which equation models this situation? (asap, thanks.)
A. x + 0 = 0
B. x + x = 0
C. 0 - x = x
D. x + (-x) = 0
Soundarya borrowed Rs 7500 at compound interest at the rate of 4% p.a. then after 2 years ,the amount to be paid
Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.
Answer:
Product of two factors =0.24
It is given that one of the factors is greater than 1.
Because 0.24 when reduced in fraction form , numerator will be divisible by 1,2,3,4,6,8,12,and 24.
So, you can choose from any one of them.
So, let one factor= 2
So, other will be
= 0.24 ÷ 2
=0.12
One Combination is=(2, 0.12)
The combination of two factors whose product is 0.24 is 24 x 0.01
The product = 0.24
Convert 0.24 from decimal to fraction
0.24 = 24/100
24/100 can be rewritten as 24 x 1/100
Since 24 is a whole number greater than 1, find the decimal equivalent of 1/100
1/100 = 0.01
0.24 = 24 x 0.01
Therefore, one of the combinations of factors of 0.24 the where one of them is a whole number greater than 1 is 24 x 0.01.
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Solve the equation by factoring. 3z^2+3z-6=0
Answer:
z = 1 or z = –2
Hope this helps !
Answer:
z = 1 or z = –2
Step-by-step explanation:
d(-3+x)=kx+9 can you solve
There are two doorways into the Funhouse the doors are similar rectangles the tall door is 9 feet high and 5 feet wide the short door is 4 feet high how wide is the short door?
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
Answer:
c.
Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Step-by-step explanation:
Defined by distinct lines in the same place which never intersect each other and have the same slope
Wednesdays low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston low temperature was above 56°F at least how many degrees warmer was the low temperature in Houston on the low in Indianapolis?
The required difference in the temperature between the cities of Houston and Indianapolis is 31°F.
Given that,
Wednesday's low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston's low temperature was above 56°F at least how many degrees warmer the low temperature in Houston than the low in Indianapolis is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
The temperature of Indianapolis is 25°F.
The temperature of Houston is 56°F.
The difference in the temperature = 56°F - 25°F = 31°F
Thus, the required difference in the temperature between the cities of Houston and Indianapolis is 31°F.
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Explain how to solve rate of wind and rate of current problems
Final answer:
To solve rate of wind and current problems, analyze the given velocities, represent them as vectors, perform vector addition, and apply trigonometry to find the effective velocity or required direction. This method helps in determining the true path of a vehicle influenced by wind or current.
Explanation:
To solve rate of wind and rate of current problems, it is essential to understand vectors and relative motion. Here is a step-by-step approach to solving these problems:
Analyze the question to understand what is being asked, including the direction and magnitude of both the wind/current and the vehicle (aircraft, boat, etc.).Represent the given velocities as vectors. The wind or current velocity should be added to the vehicle’s velocity to determine the resulting path.Apply the vector addition concept to calculate the effective velocity of the vehicle relative to the Earth. This might include using trigonometric functions to resolve vectors into components.Once the effective velocity is known, use it to solve for other quantities like travel time, distance, or the required heading to reach a certain destination.For example, if an aircraft flies with a wind velocity of 200 km/hr blowing from the south and its relative velocity with respect to wind is 1000 km/hr, the direction in which the aircraft should fly to reach a north-eastern destination can be calculated using vector addition and trigonometry.
Which functions have graphs that are steeper than the graph of f(x)=−3x^2?
Select each correct answer.
h(x)=−2x^2
g(x)=−4x^2
k(x)=3x^2
m(x)=4x^2
j(x)=2x^2
Need help asap please
I think it is k(x)=3x^2 and j(x)=2x^2 Can anyone tell me if i am correct.
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
If the parent function f(x) = x is stretched vertically by a scale factor 'k', image function will be,
g(x) = kf(x)
It's inverted form will be,
h(x) = -kx
Functions given in options (2) and (4) will be more steeper than function 'f'.
Given function is f(x) = -3x²
Functions having scale factor 'k' more than 3 will be more stretched vertically.
Hence, functions having k > 3 will be more steeper.
From the given options, g(x) = -4x², m(x) = 4x² have coefficient 'k' greater than 3.
Therefore, functions 'g' and 'm' will be more steeper than function 'f'.
Options (2) and (4) are the correct options.
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Jaquon made 252 calls in 36 days. What is the average number of calls he made in a day?
Jill fish weighs 8 times as much as her parakeet. Together, the pets weigh 63 ounces. How much does the fish weigh?
I need a little help please
A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers
Answer:
first number = 78
second number = 72
third number = 156
Step-by-step explanation:
first number = a
second number = b
third number = c
we have
b=a-6 equation 1
c=2a equation 2
a+b+c=306 equation 3
using equation 1 and equation 2 in equation 3 we have
a+a-6+2a=306
4a=306+6
4a=312
a=312/4
a=78= first number
b=78-6=72=second number
c=2*(78)=156 third number
-3 times what equals 9
The value to fill in the blank is -3.
So, -3 x -3 = 9.
We have,
To solve the equation -3 x __ = 9, we need to find the value to fill in the blank that makes the equation true.
Let's denote the value we need to find as "x".
When we multiply -3 by "x", it means we are adding -3 to itself "x" times.
So, the equation becomes -3 times "x" equals 9:
-3x = 9.
To solve for "x", we can divide both sides of the equation by -3:
-3x / -3 = 9 / -3
This simplifies to:
x = -3
Therefore,
The value to fill in the blank is -3. So, -3 x -3 = 9.
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matt can buy an 8-ounce jar of salsa for $2.79 or a 15-ounce jar os salsa for $5.54. which jar has the best unit rate?
If ∠ABD = 56, find ∠DBC.
a) 124
b) 56
c) 44
d) 34
The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.
Explanation:The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.
Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.
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I need.help please
Twenty-one out of 70 customers at the restaurant ordered dessert. What percentage of the customers did not order dessert?
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy’s descent as a unit rate? Express your answer as an integer. Enter your answer in the bo
To get Andy’s descent as a unit rate, we can express this in terms of ratio of distance over time.
The total distance he descended is 10 feet while the total time 2 ½ minutes or 2.5 minutes. Therefore his rate is:
rate = 10 feet / 2.5 minutes
rate = 4 feet / minute
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 feet per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?
guess a number for x that would make the equation 5x-2=8 true
PLEASE HELP!!
1. A function f(x) is graphed on the coordinate plan. What is f(-2)?
2. *Full of problems* Let me know if there is a certain question that you can't see*
Probability?
A spinner is made using a regular pentagon. A regular pentagon has five equal sides. The equal sections are labeled with the numbers 1, 2, 3, 4 and 5. What is the probability that it will give the
result:
(Im not talking about a fidget spinner)
A: 4?
B: 3?
C: a number less than 3?
D: number greater than 3?
E: an even number
F: an odd number?
An adult African elephant can weigh up to 7 tons. At birth an African elephant weighs about 200 pounds. How many more pounds does an adult African elephant weigh than a newborn?
BRAINLIEST if right!
Which of the flowing graphs is increasing only when x<0?
what numbers are missing 38 40 50 52
Sandy can jog 3 2/5 miles in 5/6 hour. Find her average speed in miles per hour.
Answer:
[tex]4\frac{2}{25}[/tex] miles per hour
Step-by-step explanation:
Sandy can jog a distance [tex]3\frac{2}{5}[/tex] miles or [tex]\frac{17}{5}[/tex] in the duration = [tex]\frac{5}{6}[/tex] hours
Since speed = [tex]\frac{distance}{time}[/tex]
We plug in the values of distance and time in the formula of speed.
Speed = [tex]\frac{\frac{17}{5}}{\frac{5}{6}}[/tex]
= [tex]\frac{17}{5}[/tex] × [tex]\frac{6}{5}[/tex]
= [tex]\frac{102}{25}[/tex]
= [tex]4\frac{2}{25}[/tex] miles per hour
Her average speed is [tex]4\frac{2}{25}[/tex] miles per hour.
Which graph represents the solution for the equation 1/6x=-2x+5
Answer:
B
Step-by-step explanation: