The value of the exponent based on the information is 3. Therefore, 5³ = 35.
How to illustrate the exponent?It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, it should be noted that this can be written as:
5^x = 125
5^x = 5³
Since the base is equal
x = 5.
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Tims picture. is 8 feet long. The length of a copy of the picture is 1/2 a foot long. What is the scale factor from the original to the copy?
Answer: The scale factor is a ratio that compares the dimensions of an object to a copy of that object. To find the scale factor from the original picture to the copy, you can divide the length of the copy by the length of the original.
In this case, the length of the original picture is 8 feet and the length of the copy is 1/2 a foot.
So the scale factor is:
1/2 a foot / 8 feet = 1/16
This means that the copy is 1/16 the size of the original. This means that, for each inch or foot on the original, the same length on the copy is 1/16 of that length.
It's also common to express scale factor as a ratio or a fraction of the original, which in this case is 1/16
It's worth mentioning that you could use this same method to find the scale factor for any other dimension of the picture, such as width, height and so on.
Step-by-step explanation:
What are two ways to write m2 in word form?
Answer:
not sure if I understand but I believe you are talking about writing it down
In any version of Microsoft Word, type m2, then highlight the 2. Now press and hold Ctrl and Shift, then press the + key and it will be changed to superscript and will look like this: m2
Find the length of the hypotenuse of a right triangle with legs of 4 and 3. A). 5 B). 6 C). 7 D). 8
Answer: A
Step-by-step explanation:
You scored a 90% on your math test . The test was out of 70points how many points did you get help
Answer:
63 points
Step-by-step explanation:
So you are trying to find out how many points you scored on the test when you got 90%,
we could do that by:
--------
70 (The totals points of the test) × 0.9 (The percentage converted into a decimal) = 63
--------
Let's double check,
so you got 63 out of 70, so when we divide 63 by 70, you would get 0.9.
0.9 converted into a percentage is 90%
Have a good day :)
Which is most appropriate unit to measure the length of a marathon race?
A. Kilometer
B. Meter
C. Millimeter
D. Centimeter
Answer:
b meter
let me know if this is right
PLEASE HELP!!! WILL AWARD BRAINLIEST!!!
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Top data set labeled males, minimum at 1, Q1 at 3, median at 11, Q3 at 14, maximum at 21, and an outlier at 30.
Bottom data set labeled females, minimum at 0, Q1 at 15, Median at 18, Q3 at 21.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions
The estimated IQR for the males dataset is 24 , the estimated difference between median value of each dataset is 14.
What is median ?
The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It can be regarded as "the middle" value for a set of data.
When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. Depending on whether you have an odd or an even number of data points, there are different processes to take when calculating the median.
In a collection of numbers, the median is the value in the middle. A series of numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest in order to find the median value.
A. IQR for male dataset
The IQR is calculated as follows:
IQR = Q3 - Q1
=
For the male's data:
IQR = Q3 - Q1
= 25 - 1
= 24
Hence, the IQR of the male dataset is 24.
B. Difference in median values
We have:
median = 20 ----- Male dataset
median = 6 ----- Female dataset
So, the difference (d) is:
d = 20 - 6
= 14
Hence, the difference in median of both dataset is 14.
C. Best measure of center
The female box plot has an outlier. This means that the measure of center to use for the female dataset is the median.
The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot
D. Reason for outlier
There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry.
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Find h when v = 54, L=6 and w = 3
Answer:
3
Step-by-step explanation:
Given,
v = 54
l = 6
w = 3
To find : Value of h = ?
Formula : -
v = lwh
h = v/lw
h = 54/( 6 × 3 )
= 54/18
h = 3
Hence, the value of h is 3.
A bag contains six red marbles and 18 blue marbles what is the probability of randomly selecting a blue marble from the bag
Answer:
3/4
Step-by-step explanation:
18 + 6 = 24
So 18/24 times you would get the blue marble.
simplified would be 3/4
Nancy has 2 more than twice the number of homework problems April has. Nancy has 20 homework problems. In the equation below, p is the number of homework problems April has. What is the value of p?
Answer: 9
Step-by-step explanation:
Since p is the number of homework problems April has. Since Nancy has 2 more than twice the number of homework problems April has and has 20 homework problems, this can be expressed into an equation as:
(2 × p) + 2 = 20
2p + 2 = 20
2p = 20 - 2
2p = 18
p = 18/2
p = 9
April has 9 homeworks, therefore p is 9.
What is the length of leg y of the right triangle? (1 point)
A right triangle with hypotenuse 85 and legs 84 and y
1
9
13
26
The value of the other leg of the right triangle will be 13 units. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A right triangle with hypotenuse 85 and legs 84 and y. Then by the Pythagoras theorem, the value of the variable 'y' is calculated as,
85² = y² + 84²
Simplify the equation, then we have
85² = y² + 84²
7225 = y² + 2056
y² = 7225 - 2056
y² = 169
y = 13
The value of the other leg of the right triangle will be 13 units. Then the correct option is C.
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Find a counterexample to show that the conjecture is false.
All numbers ending in 6 are divisible by 6.
Therefore ,In other words the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)
Describe fraction.A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.
Here,
21/3 = 7 21/6 = 3.5
18/3 = 6 18/6 = 3
24/3 = 8 24/6 = 4
12/3 = 4 12/6 = 2
Each can be split to get an integer, with the exception of:
21/6 = 3.5
Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).
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I WILL GIVE THANKS AND MARK BRAINLIEST
THIS ANSWER IS INCORRECT, WHAT IS THE CORRECT ANSWER?
On solving the provided question, we can say that - the percentage of the data is 5% = 5/100 = 0.05
What is percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
According to the authors, "the bases will be virtually totally present in their most probable forms. If this is the case, then only adenine and thymine and guanine and cytosine are viable base pairs, and the requirements for creating hydrogen bonds are more stringent (lines 31-35).
Options C and D are erroneous because the table does not support the authors' postulated pairing of nitrogenous bases in DNA molecules.
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Identify all of the transformation effects on the graph of the function ƒ(x) = x when ƒ(x) is replaced with ƒ(−x − 5) + 7.
A) shifted up 7 units
B) shifted down 7 units
C) shifted left 5 units
D) shifted right 5 units
E) reflected over y-axis
The negative sign in front of the x reflects it over the y-axis.
The -5 shifts the graph 5 units to the right.
The +7 shifts it up 7 units.
The answers are A, D and E
What number should be added to the polynomial 2x³ − 3x² − 8x so that the resulting polynomial leaves the remainder 12 when divided by 2x 1?
The number that should be added to the polynomial 2x³ - 3x² - 8x is 12x
When a polynomial is divided by a linear factor, the remainder is equal to the constant term of the polynomial multiplied by the reciprocal of the linear factor.
In this case, the polynomial is 2x³ - 3x² - 8x, and the linear factor is 2x-1.
To find the remainder when this polynomial is divided by 2x-1, we need to multiply the constant term of the polynomial, which is -8, by the reciprocal of 2x-1, which is 1/(2x-1).
So the remainder should be -8*(1/(2x-1)) = -8/(2x-1) = -4/(x-0.5)
To make the remainder 12, we will add 12x to the polynomial so that the new constant term is 12.
The polynomial 2x³ - 3x² - 8x + 12x will have a remainder of 12 when divided by 2x-1.
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Solve for x: -24 = 6x
Answer:
x = -4
Step-by-step explanation:
Solve for x: -24 = 6x
-24 = 6x
x = -24 : 6
x = -4
---------------------
check
-24 = 6(-4)
-24 = -24
the answer is goodHelp ASAP!!!! PLZ Brainlest
Answer:
C' = -10,2
D' = -1,6
E' = -10,2
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the vertical line x = - 1 the y- coordinates remain unchanged.
The points and their images will be the same distance from x = - 1
The original points are to the left and the image points to the right.
C (- 10, - 6 ) is 9 units to the left of x = - 1 , then
C' (- 1 + 9, - 6 ) → C' (8, - 6 ) ← 9 units right
D (- 1, - 6 ) is on the line of reflection and remains unchanged
D (- 1, - 6 ) → D' (- 1, - 6 )
E (- 10, - 2 ) → E' (- 1 + 9, - 6 ) → E' (8, - 2 )
Then
C (- 10, - 6 ) → C' (8, - 6 )
D (- 1, - 6 ) → D' (- 1, - 6 )
E (- 10, - 2 ) → E' (8, - 2 )
James molded a fraction by shadding the parts of the circle as shown
Select all the fractions that are equivalent to the fraction James molded
the fraction James molded is 1/4
( PLEASE HELPPP)
the answer that is equal to 1/4 is 2/8 3/12 and 4/16
Kelly has a savings account with a beginning balance of $800.
• She earns $340 a week at her job.
• For 8 weeks, she puts 15% of her weekly earnings into the savings account.
• Kelly makes 3 withdrawals of $45 each.
What is the account balance at the end of 8 weeks?
Let's start by using the provided information to formulate an equation.
Kelly starts with $800 in her savings account, so this is the initial amount. She makes $340 per week, 15% of which is invested into her savings account for 8 weeks, so this information will form a rate. Kelly also withdrew (subtracted) 45 dollars 3 times. Now, let's form the equation.
y=8(.15·340)+800-45(3), where y=remaining balance after 8 weeks. Now, lets simplify the equation using Orders of Operations.
Simplify parenthesis first:
y=8(.15·340)+800-45(3)
y=8(51)+800-45(3)
Complete any multiplication:
y=8(51)+800-45(3)
y=408+800-135
Add and subtract from left to right; addition and subtraction are not separate steps and must be done in the same step, so we work left to right as to whichever comes first:
y=408+800-135
y=1208-135
y=1,073
Remember that y is the remaining balance after 8 weeks. This means that $1,073 dollars is the balance after 8 weeks.
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The account balance at the end of 8 weeks is $1073.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Kelly has a savings account with a beginning balance of $800 and she earns $340 per week.
Therefore, 15% of her weekly earnings for 8 weeks is,
= (15/100)×340×8.
= $408.
Again, She made $45 withdrawals 3 times, which is,
= 3×45.
= $135.
Therefore, The final amount in her account after 8 weeks is,
= $(800 + 408 - 135).
= $1073.
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Tara rocc mos
her home to a restaurant and ate lunch. She wen continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?
A)
5
B) 10
C) 16
D) 20
You can ride in many places, so be sure to look for hazards that could cause injury or other risks while bicycling.
How many miles is a lot to cycle?The number of miles you can cycle in a single day is unlimited. It depends on your level of fitness, your exercise regimen, and the distance you cycle. Starting out, 10 kilometres per day is OK.
If you're an experienced cyclist who can pedal 25–30 miles every day, 45 miles is a realistic limit. You can ride a certain bike trail. By riding a bike to work, you can get in shape. If you've never rode a bike before, start out slowly. If you ride your bike for at least three miles every day, you might be able to travel further.
You may be able to make the most of your speed sensor’s accuracy, depending on how accurate it is. You need to know exactly how much effort you put in during your rides.
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is this the right answer?
Answer:
Yes you are correct
Step-by-step explanation:
If you split them they all are worth zero which is nothing
hello please help i’ll give brainliest
Answer:c
Step-by-step explanation:
Jamal’s test scores are 84, 88, 92, and 94. Natalia’s test scores are 86, 88, 90, 92. Who has the greater test average and who has the most consistent test scores?
Jamal’s test scores are 84, 88, 92, and 94. Natalia’s test scores are 86, 88, 90, 92. Jamal has a greater test average than Natalia. Natalia has more consistent test scores than Jamal.
To find the test average, you add up all the test scores and divide by the number of test scores.
Jamal's average: (84+88+92+94) / 4 = 89.50
Natalia's average: (86+88+90+92) / 4 = 89
Jamal has a greater test average.
To find the consistency of test scores, you can use the range, which is the difference between the highest and lowest scores.
Jamal's range: 94-84=10
Natalia's range: 92-86 = 6
Natalia has the most consistent test scores, as the range of her scores is smaller than Jamal's.
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PLEASE HELP ME I DONT UNDERSTAND GIVING 100 POINTS
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year
Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
(e) y - 15= 3/4(x-15)
Is this equation okay to use for the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrectly?
Creat two new equations written in point slope form
Answer:
(e) is the incorrect equationy -9 = 3/4(x -8)y -15 = 3/4(x -16)Step-by-step explanation:
Given a tree is 3 ft tall when planted and grows at 3/4 ft per year, you want to identify the point-slope equation that does NOT fit this description, and you want two (2) more point-slope equations that DO fit this description.
Point-slope equationThe point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
PointsThe point representing the initial height of the tree is (x, y) = (years, feet) = (0, 3). If the rate of growth is 3/4 ft per year, then the equation can be written ...
y -3 = 3/4(x -0) . . . . . . . . . matches choice (a)
All of the given equations have m = 3/4, so to find the incorrect equation, we need to find the point that is not on the line described by the above equation. We can do this by identifying the point (h, k) in each equation.
The attachment shows the point values used in each of the other equations (b) through (e). We find they all fall on the line except the point (15, 15) used in equation (e).
The incorrect equation is equation (e) y -15 = 3/4(x -15).
Additional equationsWe can write additional equations by finding additional points that are on the line. For the purpose, it is convenient to choose x-values that are multiples of 4. Already, equations use x = 0, 4, 12, 15. We can choose x=8 and x=16 for the equations we write. The graph shows the corresponding y-values are 9 and 15, respectively. Then two additional equations could be ...
y -9 = 3/4(x -8)
y -15 = 3/4(x -16)
__
Additional comment
There are several ways to find the equation that doesn't belong. Another way, apart from plotting the points on a graph, is to rewrite each equation into the same form. Slope-intercept form is fairly convenient for this.
(a) y -3 = 3/4(x -0) ⇒ y = 3/4x +3
(d) y -12 = 3/4(x -12) ⇒ y = 3/4x -9 +12 = 3/4x +3
(e) y -15 = 3/4(x -15) ⇒ y = 3/4x -11.25 +15 = 3/4x +3.75 (incorrect)
You can see that 3/4x (and y) will be an integer only if x is a multiple of 4. We like integers, so it is convenient to choose x as a multiple of 4.
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There are 3.5 loaves of bread, each weighing 1.5 lbs. Anton's family eats 2.5 loaves of bread. What is the total weight of the loaves of bread that are left?
The total weight of the loaves of bread remaining is 1.5 lbs
How to find the total weight of the loaves of bread leftFrom the problem it can be deduced that'
There are 3.5 loaves of bread
each weighing 1.5 lbs
Anton's family eats 2.5 loaves of bread
the total weight of the loaves of bread that are left = ?
The loaves of bread that are left
= 3.5 loaves - 2.5 loaves
= 1 loaf
Since 1 loaf weighs 1.5 lbs the weight of the left over bread is 1.5 lbs
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hello please help i’ll give brainliest
Answer:
c. the crust
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Give a polygon with 13 sides, find sum of the measure of its interior angles. a polygon with 13 sides has an interior angle measure sun of
Answer:
sum of interior angles is 1980°
Step-by-step explanation:
(n-2)×180° = (13-2)×180°
= 11×180°
= 1980°
Answer:
1980 Degrees
Step-by-step explanation:
By Now You Must Know To Use The Equation:
(n-2)180
The 13 is n so now it is:
(13-2)180
13-2 is 11
So Now It Is
11 x 180
And Now The Answer Is 1980
Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67. Write a system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y).
The system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -
8x + 9y = 117
3x + 8y = 67
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67.
We can write the system of equations as -
8x + 9y = 117
3x + 8y = 67
Where -
cost of gespils → (x)
cost of alabers → (y).
Therefore, the system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -
8x + 9y = 117
3x + 8y = 67
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what is 5x5+9x7
Whell help please i just wanted to put 5x5+9x7 but it didnt let me so yay
Answer: 88
Step-by-step explanation:
Answer: 88
Step-by-step explanation: 5x5=25 + 9x7=63 ----> 25+63= 88
if x is a binomial random variable with n=10 and p=0.8, the mean value of x is _____.
Answer:
8
Step-by-step explanation:
[tex]\bar{x}=np=10(0.8)=8[/tex]
Given g(x) = 1/2(3x-1) and f(x)=7 identify the value of x which makes f(x) = g(x)
Answer:x=5
Step-by-step explanation:
f(x) = g(x)
[tex]\frac{1}{2}(3x-1)=7\\\\ \frac{3}{2}x-\frac{1}{2} =7\\\frac{3}{2}x-\frac{1}{2}+\frac{1}{2} =7+\frac{1}{2} \\\\\frac{3}{2}x=\frac{15}{2} \\\frac{3}{2}x*\frac{2}{3} =\frac{15}{2}*\frac{2}{3} \\\\x=5[/tex]