The correct product of the exponential expression 3⁵ is equal to 3.3.3.3.3.
As given in the question,
Given exponential expression is equal to 3⁵
General form of exponential expression is given by aˣ
a is the base and x is the exponent
This means 'x' times ' a ' is multiplied to ' a '
Compare 3⁵ with general form
3 is base
5 is exponent
This means '5' times ' 3 ' is multiplied to '3'
3⁵ = 3.3.3.3.3
Therefore, the correct product of the exponential expression 3⁵ is equal to 3.3.3.3.3.
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jaden is designing a rectangular park that has an area of 24,000 sqaure foot. One side must be less than 100 feet long and the other side must be greater than 100 feet but less than 1000 feet long. PLEASE HELP!!!!
Two possible dimensions for the sides of the rectangular park that has an area of 24,000 square foot are of:
48 ft and 500 ft.
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that the area and the perimeter are given, respectively, by:
Area: A = lw.Perimeter: P = 2(l + w).For this problem, we have these following constraints:
A = 24,000.100 < l or w < 1000.l or w < 100. (the side that is not used for the above constraint).Attributing w = 500, we can apply the area's formula to find the desired width, as follows.
A = lw
500l = 24000
l = 24000/500
l = 48 ft.
The dimensions are of 48 ft and 500 ft, and they are in ft because the area is in ft².
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TRUE OR FALSE? An increase in sales represents a positive integer.
The statement "An increase in sales represents a positive integer" is; True
What is a positive Integer?
Positive integers are actually part of a larger group of numbers called integers. Integers are all the whole numbers, both positive and negative
Now, when there is an increase in sales, we can term this as a positive sign. However, it should be noted that increase in sales cannot be fraction or decimal and as such must be a whole number. Thus, an increase in sales is termed as a Positive Integer.
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What calculation estimates the primary macronutrient the body uses for energy at a given point in time?
The calculation that estimates the primary macronutrient the body uses for energy at any given point in time is the Catabolic quotient.
What is the Catabolic quotient?The Catabolic quotient is used to show the amount of macronutrients that are being catabolized to produce energy at any given time.
This allows us to know how much macronutrients the body needs depending on the activities that a person is engaged in at the time. This is important for nutritional requirements as a result.
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10. Parallelogram QRST with vertices Q(2, -1),
R(7, 1), S(6, -2), and T(1, -4):
a) Reflection points Q'R'S'T' are as follows:
Q' ( -2, -1 )
R' ( -7, 1 )
F' ( -6, -2 )
G' ( -1, -4 )
b) Translation points Q''R''S''T'' as follows
Q'' ( -1, -8 )
R'' ( 4, -6 )
F'' ( 3, -9 )
G'' ( -2, -11 )
Given data
Q(2, -1),
R(7, 1),
S(6, -2),
T(1, -4).
How to find the reflection in the y axisThe reflection in y axis is gotten by changing the signs of the x instance:
Reflecting across y axis is done for example A ( x, y ) to AA
AA will be ( -x, y ).
a) Using this procedure we get reflection points Q'R'S'T' as follows
Q ( 2, -1 ) ⇒ Q' ( -2, -1 )
R ( 7, 1 ) ⇒ R' ( -7, 1 )
S ( 6, -2 ) ⇒ F'' ( -6, -2 )
T ( 1, -4 ) ⇒ G'' ( -1, -4 )
How to find the translation ( x - 3, y - 7)Translation about a given value is done as follows say point B ( 5, 10 ) and the translation of ( x - 2, y - 3 ) the new points will be
BB ( 5 - 2, 10 - 3 ) = BB ( 3, 7)
b) Using this procedure we get translation points Q''R''S''T'' as follows
Q ( 2, -1 ) ⇒ Q'' ( -1, -8 )
R ( 7, 1 ) ⇒ R'' ( 4, -6 )
S ( 6, -2 ) ⇒ F' ( 3, -9 )
T ( 1, -4 ) ⇒ G' ( -2, -11 )
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-5/7+1/3
in simplest form
Answer: -8/21
Step-by-step explanation:
-5/7= -15/21
1/3=7/21
-15/21+7/21= -15+7=18
(15-7=8)
-8/21
Simplified Solution:
[tex]-\frac{8}{21}[/tex]
Hope this helps!
How long would Joey need to invest his $300 at 4% annual interest if he wants to end up with $400? Assume simple interest, I = PRT and round to the nearest tenth of a year
The time it would take Joey is 3 years
How to determine the valueGiven that the formula for simple interest is;
I = PRT
Where;
I is the simple interest = $400R is the rate = 4%T is the time in years P is the principal amount = $300Substitute into the formula
400 = 300 × 4 × t/ 100
cross multiply
4000 = 1200 t
Make 't' the subject
t = 4000/ 1200
t = 3. 3
t = 3 years in the nearest tenth
Thus, the time it would take Joey is 3 years
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Complete each statement based on the property being used.
Transitive Property of Equality:
Ifm/MLI=mZYGF and mZYGF = 201°, then:
m/MLI=
and m/CJW = 181°, then
Substitution Property of Equality: If mZCJW+m/HAV = 287°
0
+m/HAV=
Based on the transitive property of equality, m<MLI = 201°
181° + m<HAV = 287°, based on the substitution property of equality.
What is the Transitive Property of Equality?The transitive property of equality states that, if d = e and e = f, then d = f.
What is the Substitution Property of Equality?Given that a = 3, if a + 5 = 8, then, based on the substitution property of equality, we would replace a with 3 into the equation as shown below:
3 + 5 = 8.
Based on the transitive property of equality, we are given that:
m<MLI = m<YGF
m<YGF = 201°
Then, we would have:
m<MLI = 201°
Also, we are given that:
m<CJW + m<HAV = 287°; and m<CJW = 181°.
Then, 181° + m<HAV = 287°, based on the substitution property of equality.
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What is the difference in surface area between a cube with an edge length of 7 inches and a cube with edge length of 4 inches?
A. 18 in²
B. 33 in²
C. 66 in²
D. 99 in²
E. 198 in²
The difference between the surface areas is 198 square inches
How to determine the difference between the surface areas?The side lengths are given as:
L = 7 inches
l = 4 inches
The difference between the surface areas is calculated as:
Difference = 6(L^2 - l^2)
Substitute the known values in the above equation
Difference = 6(7^2 - 4^2)
Evaluate
Difference = 198
Hence, the difference between the surface areas is 198 square inches
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When you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.
a. What is m∠1 ? Classify this angle as acute, right, or obtuse.
The measure of angle 1 from the given figure is an obtuse angle.
Given that, when you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.
What is refraction?Refraction is the "bending" of light (or any electromagnetic wave) when entering a different medium.
In the given figure, the three angles, are angle 1, angle 2 and angle 3.
Angle 1 and 2 are formed with the surface of the water. Angle 1 in the medium air and angle 2 is in the medium water.
From the figure, given below we can see that angle 1 is greater than 90° and less than 180°.
Therefore, the measure of angle 1 from the given figure is an obtuse angle.
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Which numbers are a distance of 7 units from 1 on a number line?
Select the location on the number line to plot each point.
+111
++
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
1 2 3
4
PLEASE HELP
The distance of 7 units from 1 on a number line give the number 8 and -6.
What is defined as the number line?A number line is a straight line to numbers placed at regular spacing or segments it along length in mathematics. A number line could be extended in any direction indefinitely and is typically represented horizontally.The chosen number on number line is 1.
When moving 7 units from 1 on the right hand side;
Add 7 units to 1 gives 8.
thus, moving 7 units to the right of number line gives 8.
For, moving 7 units to the left of number line;
subtract 7 units from 1.
1 - 7 = -6
Thus, moving 7 units to the left of number line gives -6.
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Find |x| when x = 5 and x = -5
O |5| = 5 and |-5| = -5
O |5| = - 5 and | - 5| = 5
O Both values are 5.
O Both values are - 5.
Answer:
c) Both values are 5
Step-by-step explanation:
Value of x when it is 5,
→ |5| = 5
Value of x when it is -5,
→ |-5| = 5
Hence, both values are 5.
help needed with both. show work. a and b
a)
Soln,
Given,
Radius(r) = 8cm
Length/height(h) = 50cm
Then,
Volume of given prism = πr^2h
= 22/7×(8cm)^2×50cm
= 10057.14286cm^3
Therefore,The volume of the given prism is 10057.14286cm^3
b)
Soln,
Given,
Radius(r) = 8cm
Length/height(h) = 50cm
Then,
C.S.A. of the given prism = 2πrh
=2×22/7×8cm×50cm
=2514.285714cm^2
Therefore,C.S.A. of the given prism is 2514.285714cm^2
Evaluate the radical expression 256−−−√4.
I really need help it’s kinda hard for me..
Answer:
first answer is 5535 second answer is 11934 third answer is 4140 fourth answer is 10373 the fifth answer is 17408 sixth answer is 3240 seventh answer is 12773 eighth answer is 4928 ninth answer is 13325
Step-by-step explanation:
this took to long
how much storage space does your music use? here is a dotplot of the file sizes (to the nearest tenth of a megabyte) for 18 randomly selected files on nathaniel’s mp3 player:
According to the given statement the mean would decrease.
All of the data values fall within the range [-2.3,8 .9]
Statics is a field of study:Methods for calculating the forces between objects are studied in statics. Body motion and shape changes are caused by forces, which are also responsible for keeping bodies in equilibrium.
What does "mean" signify in math?A dataset's mean is calculated by dividing the sum of all values even by total number of values. The geometric mean is not the same as this one; it is called the arithmetic mean. The term "average" is frequently used to describe it because it is the most widely used central tendency metric.
According to the given data:We have, the given data set
2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0
Arrange the data in ascending order.
1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,
Divide the data in 4 equal parts.
(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)
Q1 = 1.9
Q3 = 4.7
IQR = Q3 - Q1
= 4.7 - 1.9
= 2.8
SO,
The interval [Q1 - 1.5IQR ,Q3 + 1.5IQR]
The interval [Q1 - 1.5(2.8) ,Q3 + 1.5(2.8)]
The interval [-2.3 , 8.9]
All of the data values fall within the range [-2.3,8 .9]
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I understand that the question you are looking for is:
How much storage space does your music use? Here is a dot plot of the file sizes (to the nearest tenth of a megabyte) for 18 randomly selected files on Nathaniel's mp3 player: The distribution of file size has a mean of
2.4 2.7 1.6
13
6.2
1.3
5.6
1.1 2.2
1.9
2.1
4.7
3.0
1.9
2.5
7.5
500
Express 48 as a product of prime factors.
Give your answer in index form.
Willie’s age w and Jenny’s age j are related by the equation j = 2w - 12. When Willie is 16.5 years old, how old will Jenny be?
since a likert scale is an example of an ordinal level of measurement, explain why the mean should not be used to measure central tendency of the likert scale data values? provide an example in real life where you may have encountered the use of the mean to measure central tendency of ordinal data.
The mean, which is a measure of central tendency for quantitative data should not be used for likert scale data values, which are ordinal (qualitative) data.
The use of the mean as a measure of central tendency for ordinal data may be encountered, in the customer satisfaction data analysis systems used in some banks
What is ordinal data?Ordinal data are a data form that specified categories that are scaled or have a set order.
However, ordinal scales are not standard, such that they cannot be manipulated quantitatively.
The mean specifies the average value, which the sum of the quantitative measurements, divided by the number of measurements
Therefore;
The mean should not be used as a measure of central tendency of the likert scale, which is based on ordinal data.An example in real life where the mean could be used as a measure of central tendency of ordinal data is in customer satisfaction survey at the bank, where customers have five levels to select how happy they are with the bank services.
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stuck on this question
Answer: itll be less than 3/4 pound
Step-by-step explanation:
the amount of watermelon would be 1.5/4 or 3/8. this is because all of the recipe would be divided by 2
Answer:
less than 3/4 pound
Step-by-step explanation:
Square root of 20 greater, less then or equal to 4
irections: use the strategies we practiced in class.
..) You are making 20 mint chocolate bars and 24 caramel pecan bars for some gift boxes. If each box contains the same
ars, what is the greatest number of gift boxes you can put together?
2.) How many mint chocolate and caramel bars will be in each gift box?
a) The greatest number of gift boxes that can be put together is 4.
b) Number of mint chocolate in gift box = 5
Number of caramel pecan bars in gift box = 6
Highest common factor or greatest common factor of two number is the greatest factor that divides the numbers.
According to the question we have been given that
number of mint chocolate = 20
number of caramel pecan bars = 24
a) We have to find the greatest number of gift boxes. For that we will find H.C.F of 20 and 24.
Factors of 20 = 2 * 2 * 5
Factors of 24 = 2 * 2 * 2 * 3
The H.C.F is 4 as it is the greatest that divides the two numbers.
Thus the greatest number of gift boxes that can be put together is 4
b) Number of mint chocolate in gift box = 20/4 = 5
Number of caramel pecan bars in gift box = 24/4 = 6
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the numbers 1 through 25 are written on 25 cards with one number on each card. sara picks one of the 25 cards at random. what is the probability that the number on her card will be a multiple of 2 or 5? express your answer as a common fraction.
3/25 is the possibility that the range on her card might be a a couple of of two or 5.
what does a possibility mean?
The possibility serves as a gauge for the way probably an occasion is to occur. It gauges how probably an occasion is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the method for possibility.
Total range of playing cards = 25 (Given)
Total viable range of playing cards which can be top range = 8
[ They are 2, 3, 5, 7, 11, 13, 17, 23 ]
P(top range) = 8/25
Total viable range of playing cards which can be even = 12
[They are 2, 4, 6, 8, 10, 12, 14, 16, 18. 20, 22, 24]
P(even range) = 12/25
Total viable range of playing cards which can be multiples of 5 = 5
[They are 5, 10, 15, 20 ,25]
P(multiples of 5) = 5/25
P(multiples of 5) = 1/5
Total viable range of playing cards which can be divisible through 6 = 4
[They are 6, 12, 18, 24]
P(Divisible through 6) = 4/25
Total viable range of playing cards that with the range 4 = 3
[They are 4, 14, 24]
P(with the range 4) = 3/25
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Ebony earned scores of 71 , 70, 87, 97 , and 82 on five math tests. Determine her
score on the sixth test if her average for the six tests was 83? Enter your answer as a
whole number
The answer is 91
Step-by-step explanation:
Average Marks = (Total Marks) ÷ Total Tests
83 = (71 + 70 + 87 + 97 + 82 + x) ÷ 6
83 × 6 = 407 + x
498 = 407 + x
x = 498 - 407
x = 91
3
3
−10+7=3, cubed, minus, 10, plus, 7, equals
Answer:
10+ 7 is equal to 17 cube is the answer
The equation 26+0.25p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $56 to deliver.
Answer:
120 pounds
Step-by-step explanation:
26+0.25p=c
c=56
26+0.25p=56
Subtract 26 from both sides.
0.25p=30
Divide 0.25 from both sides.
p=120
It costs $56 for 120 pounds.
Hope this helps!
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A video game store has 60 games to choose from, including 40 sports games. What is the ratio of sports games to video games?
A ratio indicates how many times one number contains another.
2/3 is the ratio of sports games to video games.
What is Ratio?A ratio indicates how many times one number contains another.
A video game store has 60 games to choose from, including 40 sports games. We need to find the ratio of sports games to video games.
To find the ratio of sports games to video games. We need to divide Number of sports games by number of video games.
Ratio=Number of sports games/number of video games.
=40/60
Divide numerator and denominator by 20.
=2/3
Therefore the required ratio is 2/3 for sports games to video games.
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The intensity of sound is measured on the decibel scale, dB. The equation
dB 10 log I represents the decibel level, where I is the ratio of the sound to
the human hearing threshold. A noise registers a decibel level of 29. What is the
value of I? Round to the nearest whole number.
A) 42071
B) 18
C) 89
D) 794
Answer: D) 794
Step-by-step explanation:
[tex]10lgI=29[/tex]
Divide both parts of the equation by 10:
[tex]lgI=2.9\\\\I=10^{2.9}\\\\I\approx794[/tex]
-24 ≤ 2x-10 <-6 how to solve for x
Answer:
SOLVE FOR X
x∈[−7,8)
step explanation:
there is no solve for x just straight answer
Each horse at a ranch eats 20 pounds of hay each day . A. complete the table to show how much hay different numbers of horses eat each day .B, what is the unit rate for pounds of hay per horse. C, When a group of ration are the equivalent its means there is a proportional relationship between the quantities is there a proportional relationship between the pounds of hay eaten daily and the number of horses.Explain
Don't answer sorry
From the given situation, we have that:
A. The table is completed as follows:
2 horses - 40 pounds.3 horses - 60 pounds.4 horses - 80 pounds.5 horses - 100 pounds.6 horses - 120 pounds.7 horses - 140 pounds.B. The unit rate is of 20 pounds of ray per horse.
C. There is a proportional relationship between the pounds of hay eaten daily and the number of horses, because the division of the output(pounds of hay) by the input(number of horses) always results in a constant.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Each horse at a ranch eats 20 pounds of hay each day, hence the proportional relationship that models the total amounts of hay consumed by x horses is given by:
y = 20x.
The table is completed as follows, with the bolded numbers being the empty positions in the table.
2 horses - 40 pounds.3 horses - 60 pounds.4 horses - 80 pounds.5 horses - 100 pounds.6 horses - 120 pounds.7 horses - 140 pounds.Considering the relationship y = 20x, we have that:
B. The unit rate is of 20 pounds of ray per horse.
C. There is a proportional relationship between the pounds of hay eaten daily and the number of horses, because the division of the output(pounds of hay) by the input(number of horses) always results in a constant.
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Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
N(2,
M(4, C
The perimeter is about
units.
L
According to the given statement,
the perimeter is 10.99 units.
What is perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose a yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter. Similar to this, the circumference of a spool is related to the length of string looped around it; if the string's length were correct, it would match the circumference.
According to the given value ,
We have a triangle with points in:
X // Y
N 2 // 0
P -1 // -2
M 4 // 0
We can solve for the side of the triangle by subtracting the points to calculate the distance between them, AKA the side of the triangle.
M - N = NM = 4 - 2 = 2 units of X
M - N = NM = 0 - 0 = 0 units of Y
This has a length of 2 units of X and 0 units of Y thus, we already have a line of size 2.
Next side:
N - P = 2 -(-1) = 3 units of x
N - P = 0 - (-2) = 2 units of Y
We have a length of 3 units of X and 2 of Y we use Pythagoras to get the length of NP:
Now, we do the same with MP:
M - P = 4 - (-1) = 5 units of X
M - P = 0 - (-2) = 2 units of Y
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