Answer:
Answer is: 5^ -8 * 5^4 = 5^-4
Step-by-step explanation:
To simplify : 5^ -8 * 5^4
This can also be written as :
5^ -8 * 5^4 = 1/5^8 * 5^4
or 5^ -8 * 5^4 = 5^4 / 5^8
or 5^ -8 * 5^4 = 5^(4 - 8)
or 5^ -8 * 5^4 = 5^-4
Hence we got 5^ -8 * 5^4 = 5^-4
Kelly answered 3 items on a test incorrectly, this was 6% of her test. How many questions were on her test? Plz, help me ASAP...Thanks!
50 and this is a filler
Answer:
50
Step-by-step explanation:
because each item is worth 2% so 50 items is 100% and 3 items wrong is minus 6%. which is a 94
A circle has a circumference of 11,304 units. What is the diameter of circle?
Answer:
3598 (or 3600 to 2.s.f)
Step-by-step explanation:
You need to recall that the circumference is π * d
So if we have the circumference, we can divide by π to get d:
11,304 ÷ π = 3598 or 3600 to 2.s.f
Answer:
[tex]D\approx 3600[/tex]
Step-by-step explanation:
Circumference is given by this formula below. What gives us the radius.
[tex]C=2\pi R \Rightarrow 11304=6.28R \Rightarrow R=1800[/tex]
The diameter of the circle is calculated by dividing the Circumference, 11304 in this case by [tex]\pi[/tex]
[tex]C=2\pi R \Rightarrow C=\pi D \Rightarrow D=\frac{C}{\pi} \Rightarrow D=\frac{11304}{\pi} \Rightarrow D\approx 3600[/tex]
which statement is true
Answer:
-7Step-by-step explanation:
(7/8)(-1/6)(-7)(-1/14)=
-14(-7)(-1/14) =
98(-1/14)=
-7
What is the approximate value of the correlation coefficient for the given graph?
Answer:
-1.
Step-by-step explanation:
The graph decreases by 5 for every year, so it has a perfect linear dependence of |1|. The graph is also negative, so the correlation coefficient has to be negative.
Answer:
-1
Step-by-step explanation:
The Correlation Coefficient is defined to measure the strength of the relationship between two variables. Different kinds of correlation coefficient exist, each with has their description and own limit of usability and components Value of Correlation Coefficient always lies within -1 to +1.
If Correlation Coefficient has a value -1 then it has an absolute negative correlation, while if the correlation coefficient has a value of +1 it shows an absolute positive correlation. A correlation of value 0.0 shows there is no correlation between the movements of the two variables.
The Correlation coefficient is measured by the Scatter plot or by Pearson Correlation Coefficient. In the Scatter Plot, we plot the graph between these two variables. If both variables are either increases or decrease then there is a Positive Correlation, and its value is positive that is greater than 0 but less or equal to 1 but if one variable increases and other decreases or vice- versa then there is a Negative Correlation and its value is less than zero but greater than or equal to -1. If the value of Correlation coefficient is less than -1 and greater than +1 then we possibly do mistake in calculating values.
The Pearson Correlation coefficient is determined by the covariance of both the variables divided by the product of standard deviation of the given variable.
It is represented by greek letter rho(ρ)
[tex]\rho_{(X,Y)}=\frac{Cov(X,Y)}{\sigma_X\sigma_Y}[/tex]
where,
cov= covariance of variables X and Y
[tex]\sigma_X[/tex] = standard deviation of X
[tex]\sigma_Y[/tex] = standard deviation of Y.
The formula of the Pearson Correlation Coefficient can also be expressed in mean and expectation which is given by,
[tex]\rho_{(X,Y)}=\frac{E(X-\mu _X)(Y-\mu_Y)}{\sigma_X\sigma_Y}[/tex]
where,
[tex]\mu_X[/tex] = mean of X
[tex]\mu_Y[/tex] = mean of Y
E = Expectation.
Here the given graph is a strong negative linear relationship type. It has a perfect negative correlation.
Here, Option A. is incorrect because it is use for strong positive linear relationship
Option B. and C. is not a possible value for Correlation Coefficient.
Therefore, Option D. is correct.
That is, Correlation Coefficient ( r ) is equal to -1.
When one variable increases and other variable decreases, a negative linear relationship exists.
A semicircle is cut out of a rectangular paperboard 24in long and 18n wide, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard = [tex]\frac{18}{2}[/tex] = 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
the answer is 304.84 in2 I just had the question
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
(PLEASE HELP ME NEED ANSWER ASAP)
Answer:
(C) This function is an exponential.
Step-by-step explanation:
Exponentials are the fastest growing functions. In this case, the values in table (C) exhibit an exponential growth in that for every increase in x there is a tripling of the previous value. This would correspond to x being a power of the base 3.
Generally, the y-values will be greatest for very large values of x in increasing continuous functions such as y = x^2. To identify exactly which function among your tables has this property would require reviewing the actual tables.
Explanation:It's quite difficult to give you an accurate answer without having access to the actual tables of values. However, we can go by a general principle that in mathematics, specifically in the study of continuous functions, the y-values can be greatest for large values of x in case of increasing functions. These are functions where the value of y (or the output) increases as the value of x (or the input) increases. For instance, the function y = x^2 is an increasing function for x greater than 0. As x approaches infinity, so does the value of y. Therefore, the function that represents this behaviour will yield the greatest y-values for very large values of x. However, without knowing the precise functions represented by your tables it is impossible to give a definite answer.
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The measure of an obtuse angle is
A- greater than 0 and less than 90 degrees
B- 90 degrees
C- greater than 90 and less than 180 degrees
Answer:
C. greater than 90 and less than 180 degrees.
Step-by-step explanation:
An obtuse angle is angle in the second quadrant.
This angle is more than [tex]90\degree[/tex] but less than [tex]180\degree[/tex].
Therefore the correct answer is option C.
Note however that a [tex]90\degree[/tex] angle is called a right angle and an angle greater than [tex]0[/tex] but less than [tex]90\degree[/tex] is called an acute angle.
Answer:
C-Greater than 90 and less than 180
Step-by-step explanation:and obtuse angle can go over 180 my rule is if its over 90 its obtuse
Which of the following describes the image of a triangle after a dilation that has a scale factor of 5/6
The image of the triangle after a dilation with a scale factor of 5/6 is similar to the original triangle. The Option C
Does a dilation with a scale factor of 5/6 change the similarity of a triangle?No, a dilation with a scale factor of 5/6 does not change the similarity of a triangle. Dilations involve scaling the size of the original figure, but the shape and angles remain unchanged.
In this case, the sides of the triangle will be uniformly reduced by a factor of 5/6, maintaining the proportional relationships between the sides. As a result, the dilated triangle will still be similar to the original triangle and the angles will retain their measurements, just as in the initial triangle.
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help me on this problem
[tex](a)\\\\\triangle HFG\sim\triangle HGE\sim\triangle GFE\\\\(b)\\\\\dfrac{FE}{GE}=\dfrac{GE}{HE}\qquad\qquad\dfrac{HF}{HG}=\dfrac{HG}{HE}[/tex]
There were 12 boys and 20 girls in a chorus. What is the ratio of boys to girls?
Hi there!
If there were 12 boys and 20 girls in a chorus, the ratio would be 12 : 20
But
Simply the the ratio and you will get 3 : 5
Hope this helped!~
Answer:
12:20 can be 6:10 can be 3/5. sooooo it is 3:5
Step-by-step explanation:
An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?
Answer: 300 m
Step-by-step explanation:
[tex]distance(s)=v_it+\dfrac{1}{2}at^2 \quad \text{where}\ v_i \text{is initial velocity, a is acceleration, t is time}[/tex]
[tex]s=(15)(10)+\dfrac{1}{2}(3)(10)^2[/tex]
= 150 + 150
= 300
Emanuel was charged 32 dollars for a fourteen and two ninths km taxi ride. What was the cost per kilometer?
Answer:$ 2.25 per km
Ste) = p-by-step explanation:
32 / (14 2/9
32 / (128/9) =
32 * 9 / 128 =
288 / 128 =
$ 2.25 per km
A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately tons. If there are 2,000 pounds in 1 ton, which is the most reasonable value of n?
The weight of the 747 airplane, when expressed in tons, is approximately 300 tons.
We know that 1 ton is equal to 2,000 pounds. The weight of the 747 airplane is given as 600,000 pounds.To find the equivalent weight in tons, we need to divide the weight in pounds by the number of pounds per ton.The calculation is as follows:
[tex]\text{Weight in tons} = \frac{\text{Weight in pounds}}{2000}[/tex]
Substitute the values:
[tex]\text{Weight in tons} = \frac{600,000}{2000}[/tex]
Perform the division:
[tex]\text{Weight in tons} = 300[/tex]
The most reasonable value of [tex]n[/tex] is 300 tons.
The equation of a circle is given below ( x-20)^2 + (y-0.05)^2 =81 what is its center? What is its radius?
Answer:
So the center is at (20,.05) and the radius is 9
Step-by-step explanation:
The equation of a circle can be written in the form
(x-h) ^2 + (y-k) ^2 = r^2
where (h,k) is the center and r is the radius
Lets write our equation in that form
( x-20)^2 + (y-0.05)^2 =81
( x-20)^2 + (y-0.05)^2 =9^2
So the center is at (20,.05) and the radius is 9
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 20)² + (y - 0.05)² = 81 is in this form
with centre = (20, 0.05) and r = [tex]\sqrt{81}[/tex] = 9
A gallon of milk costs $5.12. What is the price, in dollars, of an 8 ounce glass of milk? There are 128 ounces in 1 gallon.
Answer:
$.32
Step-by-step explanation:
To find the unit price, we take the cost and divide by the units. We will take the cost and divide by 128 ounces since that is how many ounces in a gallon.
$5.12 / 128 ounces
$.04 per ounce
I need to find the price of an 8 ounce glass of milk, so I multiply by 8 ounces
$.04 per ounce * 8 ounces = $.32
My 8 ounce glass of mile costs $.32
A kitchen has a tabletop that is a rectangle 24in long and 18 in wide.
Jane is an interior designer and wants to cover the tabletop in small tiles.
She knows the area each bag of tiles covers, but only in square centimeters.
a)
very straighforwards, a rectangle of 24 in x18 in has an area of simply that product.
however, that gives us in², so we firstly need to convert those inches to cm, so since 1 inch is 2.54 cm, then 24 inches is just 24*2.54, and likewise 18 inches is just 18*2.54.
so the tabletop is (24*2.54) * (18*2.54) = 2787.09 cm².
b)
each bag can cover 260 cm², she can't buy any partials, half a bag or a quarter of a bag, is a whole bag or nothing.
well, if she only buys one, she'll be able to cover 260 cm², however the tabletop is 2787.09 cm², so, how many times does 260 go into 2787.09? 2787.09 ÷ 260 ≈ 10.72.
so she needs 10 bags plus 0.72 of another, the store doesn't sell partials, so she'll need to buy another bag, namely 11 bags.
c)
well, each bag is 3.76, for eleven bags that'll be 11*3.76 = 41.36.
HELPPPPPPPPPPP . Yeah
Answer:
The correct answer is B.
PLZ HELP ME ASAP !!!!!!!
Trent plants a sunflower that is 6inches tall. the sunflower is expected to grow at an average rate of 1.5 inches per day during the next month .
A) create an equation that Trent can use to find the number of days (X), it will take the sunflower to go a height of 45inches
B) How many days will it take for the sunflower to grow to a height of 45inches
Answer:
A) [tex]x=\frac{h-6}{1.5}[/tex]
B)[tex]26[/tex]
Step-by-step explanation:
A)Let's call the height of the plant [tex]h[/tex] and this height will be 6 inches on the day 0 like this:
[tex]h=6[/tex]
on the day 1 of the month the plant will have the original 6 inches plus the height it grew the first day which will be 1.5 inches
[tex]h=6+1.5[/tex]
on the day 2 of the month the plant will have the original 6 inches plus the height it grew the first day plus the height it grew the second day which will be again 1.5 inches
[tex]h=6+1.5+1.5[/tex]
we can see that on the day 1 we add 1.5 inches one time, on the day 2 we add 1.5 inches two times. it is possible to say now that the height will be the original 6 inches plus 1.5 times the days of the month like this:
[tex]h=6+1.5x[/tex]
We will solve for x because we need to find the number of days for a given h like this:
[tex]h=6+1.5x\\h-6=1.5x\\x=\frac{h-6}{1.5}[/tex]
and this will be our equation that trent can use to find the number of days (x), it will take the sunflower to a given height.
B)to know how many days it will take for he sonflower to grow to a height of 45 inches we replace h in the equation with 45 like this:
[tex]x=\frac{h-6}{1.5}\\x=\frac{45-6}{1.5}\\x=26[/tex]
The sunflower will take 26 days to grow to a height of 45 inches
What is 82,619 round to the nearest 100
Answer:82,600
Step-by-step explanation:
round down, as 19 is closer to than 100, so keep the 100's place there and take out the 10's and 1's and change them to 0. Please mark my answer as brainliest!
Answer:82700
Step-by-step explanation:
A boat travels 81 miles in 5 hours (with a constant speed). How far can it travel in 23 hours (with the same speed SOMEONE QUICK I APPERCIATE YOU GUYS
Answer:
um i think its 1.42
Step-by-step explanation:
Answer: 372.6 miles
Step-by-step explanation:
81 miles/5 hours = 16.2 mph
Distance traveled in 23 hours = 16.2*23 = 372.6 miles
Sorry this is 4 years late.
Find the value of the expression.
125a^0 b^4 for a= 5/7 , b=− 1/5
Substitute the values of a nad b to the expression:
[tex]125a^0b^4=(125)\left(\dfrac{5}{7}\right)^0\left(-\dfrac{1}{5}\right)^4=(125)(1)\left(\dfrac{1^4}{5^4}\right)\\\\=(125)\left(\dfrac{1}{625}\right)=\dfrac{125}{625}=\dfrac{125:125}{625:125}=\dfrac{1}{5}[/tex]
find the difference of 259.63 and 154.21
Answer:
105.42
Step-by-step explanation:
259.63
154.21
105.42
A new restaurant has ordered 64 tables for its outdoor patio. if the manager arranges the tables in a square formation, how many will be in each row ?
If the tables are arranged in a square formation, there would be 8 tables in each row and each column because the square root of 64 is 8.
Explanation:The question is asking about arranging the 64 tables in a square formation. If we arrange the tables in a square, there will be an equal number of tables in each row and column. That means you need to find the square root of 64 because the square root is the number that, when multiplied by itself, equals the original number. The square root of 64 is 8, so there would be 8 tables in each row and each column of the square formation.
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How do you write "S is the set of natural numbers that are less than 8" in roster form
The set 'S' of natural numbers less than 8 in roster form is written as: S = {1, 2, 3, 4, 5, 6, 7}. Natural numbers start from 1 and exclude 0, negative integers, fractions, and decimals.
Explanation:In mathematics, when we want to represent a set in roster form, we list all of its elements within braces and separate each element with a comma. So, the set 'S' representing natural numbers less than 8, in roster form, would be written as: S = {1, 2, 3, 4, 5, 6, 7}. Remember, it's important to note that natural numbers start from 1 and extend indefinitely, and they excludes 0 and any negative integers, fractions, or decimals.
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Two math students were asked to describe the exponential equation: y=230(0.98)^x
Final answer:
The function y=230(0.98)ˣ is an exponential decay model depicting how a quantity decreases over time. The graph starts at 230 (the initial value) and decreases at a decay rate of 0.98 each step. To express small or large numbers succinctly, standard exponential form is used.
Explanation:
The exponential equation given, y=230(0.98)ˣ, represents a mathematical function known as an exponential decay model. To draw the appropriate graph for this function, you would plot the y-value against x on a Cartesian plane. The x-axis would indicate the time or trial number, and the y-axis would represent the value of y at that time. The decay rate in this equation is 0.98, which means that with each step in x (assuming x is a time interval), the quantity y decreases to 98% of its previous amount. The initial value, or mean, of the equation is 230, which is the starting point of the graph at x=0.
The mentioned exponential curve would start at y=230 and decrease gradually as x increases. If you were to shade the area for the probability that a student has less than $0.40 in his or her pocket, you would first need to solve for x when y=0.40, and then shade under the curve to the left of the corresponding x-value on your graph. This would visually represent P(x < 0.40).
To express numbers in standard exponential form, you use a coefficient between 1 and 10 multiplied by a power of 10. For example, converting 9.3 times 10 to the power of 7 is an example of expressing a very large number in exponential form. For small values of x, the exponential curve will show slower change, which increases rapidly for larger values of x.
Which of the following expressions is equivalent to -4(3x-5
The expression -4(3x-5) is equivalent to -12x + 20 by applying the distributive property of multiplication over subtraction.
Explanation:The expression asked in the question is -4(3x-5). In order to provide an equivalent expression, apply the distributive property of multiplication over subtraction. This property states you can multiply a number to each term inside the brackets separately.
Here, -4 multiplies with 3x to give -12x and -4 multiplies with -5 to give +20. Therefore, an equivalent representation of -4(3x-5) is -12x + 20.
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What are the solutions of x^2-7x+13=0?
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
The solution is Option D.
The solutions to the quadratic equation A = x² - 7x + 13 = 0 is given by
x = ( 7 + √3i ) / 2 and x = ( 7 - √3i ) / 2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² - 7x + 13 = 0 be equation (1)
On simplifying the equation , we get
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
Substituting the values in the equation , we get
x = [ - ( -7 ) ± √ ( ( 49 ) - 4 x ( 13 ) ) ] / 2
On simplifying the equation , we get
x = [ 7 ± √ ( 49 - 52 ) ] / 2
x = [ 7 ± √ ( -3 ) ] / 2
x = ( 7 ± √3i ) / 2
Therefore , the value of x = ( 7 ± √3i ) / 2
Hence ,
The solution to the equation is x = ( 7 + √3i ) / 2 and x = ( 7 - √3i ) / 2
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What is the unknown factor 9 times p equals 45
Answer:
5
Step-by-step explanation:
p=45/9
A real estate agent receives 5% commission on the first $250, 000 of a house selling price. He gets 7% of the remaining amount. If the commission is $432, 000. How mich money did he make?
Answer:
the answer is 24,600
Step-by-step explanation:
Madeline works as a part time job at Parkland Hospital for $20 per hour. She worked for 10 hours last week and must pay 10% in taxes. What is Madelines take home pay.
Answer:
20
Step-by-step explanation:
20 x 10 = 200
10% = 0.10
200 x 0.10 = 20
Answer:
Step-by-step explanation: first of all u have to do the $20 per hour which she worked 10 hours so 20 x 10 which equals $200. 10% of $200 would be $20 because u divide 200 by 0.10 which is 20. so I think the answer would be $180 or $20 for Madeline. (I’m not a pro at math sorry)