1. What is 0.078 written in expanded form
a) 7.0.1 +8 -0.01
b) 7.0.1 + 8 . 0.001
c) 7.0.01 +8 -0.01
d) 7.0.01 +8 -0.001
Answer:
7.8 x \(10^{-2}\)
Step-by-step explanation:
this is the real answer
In the diagram above, what is point F called relative to ABC?
Answer:
Circumcenter
Step-by-step explanation:
The center that is created by intersection of the three perpendicular bisectors of your triangle sides.
lakewood children's Theater started a summer program last year with 245 students. thanks to some advertising during the off-season, 294 students have enrolled this year. the theater will continue this advertising strategy in hopes that enrollment will continue to increase. write an exponential equation in the form y = a(b) that can model the number of enrolled students, y, x, years after the program began.
To model the number of enrolled students, y, x years after the program began, we can use an exponential equation in the form:
y = ab^x
where a is the initial number of students, b is the growth factor, and x is the number of years after the program began.
We are given that the initial number of students was 245, and that the number of enrolled students after one year is 294. Therefore, we can use these values to find the growth factor b:
294 = 245b^1
b = 294/245
b = 1.2
Now that we know the growth factor, we can write the exponential equation in the form y = a(1.2)^x:
y = 245(1.2)^x
This equation can be used to model the number of enrolled students, y, x years after the program began, assuming that the advertising strategy continues to be successful and the growth rate remains constant.
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\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)
\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)
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Can someone help please?
ASAP
Answer:
Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)
Step-by-step explanation:
As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.
11^2 + 5^2 = AC^2
121 + 25 = AC^2
146 = AC^2
sqrt(146) = AC^2
Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)
You are making identical balloon arrangements for your family reunion. You have 42 maroon
balloons, 126 white balloons, and 14 orange balloons. You want each arrangement to have the
same number of each color. What is the greatest number of arrangements you can make if
every balloon is used? How many of each color of balloons will be in each arrangement?
Answer: 42 in all, 14 of each.
Step-by-step explanation
The color with the least amount of balloons is orange with 14. this means to have an equal amount of balloons for each color, you would need 14 of each color.
Answer:
42
Step-by-step explanation:
Michelle can swim 4 laps in 6 minutes and 12 seconds. If michelle swims at the same pace, how long would it take her to swim 10 laps?
Answer:
9 laps takes 5 minutes 25 seconds.
Step-by-step explanation:
Here is given:
4 laps takes 6 minutes 12 seconds.
We have to find how long 1 lap takes.
4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.
Now, multiply each by 9 because you want to find 9 laps, so:
1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.
Hope this helps :)
Question 1 (11 point) What are the x-intercepts of the function y=(x-5Xx+3)? ( Blank 1- .0) ( 0)
The x-intercepts of the function y = (x-5)(x+3) are 5 and -3.
To find the x-intercepts of the function y = (x-5)(x+3), we need to set y equal to zero and solve for x.
The x-intercepts are the values of x where the graph of the function intersects or crosses the x-axis.
Set y = 0:
0 = (x-5)(x+3)
Apply the zero-product property:
The product of two factors is equal to zero if and only if at least one of the factors is equal to zero.
Therefore, we can set each factor equal to zero and solve for x.
Setting x-5 = 0:
x - 5 = 0
x = 5
Setting x+3 = 0:
x + 3 = 0
x = -3.
The x-intercepts of the function y = (x-5)(x+3) are x = 5 and x = -3.
These are the values of x where the graph of the function crosses the x-axis.
For similar question on function.
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please help me with this
Answer:
its 18
Step-by-step explanation:
6x3=18
A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
What is value of the first quartile?
3
6
8
11
6 is the first quartile
Step-by-step explanation:
hope it helps!
The value of the first quartile is = 6
Calculation of first quartileThe first quartile can be calculated arranging the data and finding the median of the first lower figures.
The given set of numbers arranged from smallest to the highest number is:
3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
The first lower data are,
3, 5, 5, 6, 6, 6, 7, 7, 8, 8,
The median of the given data are two numbers which is 6+6/2 = 6.
Therefore, the value of the first quartile is = 6
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What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
f(x)=-2/9x1/3 what is the intercept
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation: because the equation is in the format f(x)= mx+b and mx represents slope and b represents y. 2/9x is the slope so 1/3 is the y intercept (can i have brainliest)
Suppose that y varies directly with x. Given x=4 when y=20.
Find y when x = 3
Answer:
y = 15
Step-by-step explanation:
Given: y varies directly with x, x=4 when y=20
To find: y when x = 3
Solution:
As y varies directly as x, it means that as x increases, y also increases by the same factor.
As y varies directly with x,
\(y=kx\)
Here, k is a constant
As x = 4 when y = 20,
\(20=4k\\k=\frac{20}{4}=5\\\Rightarrow y=5x\)
Put x = 3
\(y= 5(3) = 15\)
easton is paid $418.96 weekly. what is his average monthly net, or take-home pay?
Answer:
293.27
Step-by-step explanation:
418.96 x .7 = 293.27
Write in a exponent form 2•2•2•3•3•3=_
Answer:
2^3 • 3^2
Step-by-step explanation:
What is (x + 1) − (−2x − 5)
Answer:
11x+6
Step-by-step explanation:
Using FOIL
(x+1)-(-2x-5)-original
F-first=(x+2x)=3x
O-outside=(x+5)=5x
I-inside=(1+2x)=3x
L-last=(1+5)=6
11x+6
Goals Scored (per game)
There is a [DROP DOWN 1] association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between [DROPDOWN 2] goals scored and [DROPDOWN
3] number of wins. Causation (DROPDOWN 4] be established because their relationship was not in a controlled setting.
There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5 number of wins. Causation cannot be established because their relationship was not in a controlled setting.
What is experiment about?When if a relationship between two variables is said to be negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.
Therefore, even though the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.
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What is the justification for step 1 in the solution process?
-22 - x = 14 + 6x
Answer:
addition property of equality
Step-by-step explanation:
You want the justification for step 1 in the solution process for -22 - x = 14 + 6x.
SolutionNo solution process steps are shown, but we can speculate what they might be.
The goal is to separate constant terms and variable terms. This can be done several ways, but generally consists of adding the same thing to both sides of the equation.
Often, you're told to collect the variable terms first. Some prefer to do that so the variable terms are on the left side of the equal sign. Others prefer to do that so the result has a positive coefficient for the variable term. Taking the latter tack, we want to add x (the opposite of -x) to both sides of the equation:
-22 -x +x = 14 +6x +x . . . . . x added to both sides
-22 = 14 +7x . . . . . . . simplified
The justification for this step is the addition property of equality. That property allows you to add the same thing to both sides of an equation without changing the values of the variables.
__
Additional comment
Step 2 would be to add -14 to both sides, giving you ...
-36 = 7x . . . . . . . . add -14; addition property of equality
If you like, you can do both of these additions in one step:
-22 -x +(x -14) = 14 +6x +(x -14) . . . add(x -14); addition property of equality
-36 = 7x . . . . . . simplified
Step 3 is to divide by the coefficient of the variable.
-36/7 = (7x)/7 . . . . division property of equality
-5 1/7 = x . . . . . . . simplified. This is the solution.
The usual procedure takes 3 steps, so this is called a "3-step equation."
Note that we choose for the variable coefficient to be positive, because we judge arithmetic with positive numbers to be less error-prone. If you collect the variable terms on the left, you get ...
-7x = 36
so have to divide by -7. This should not be an issue if you're careful with your arithmetic, but many find dealing with negative numbers to be a challenge.
rectangular floor is 8 yd long and 3 yd wide. what is the area in square feet?
Answer:
216 square feet
Step-by-step explanation:
First we must convert both dimensions to feet. 1 yd = 3 feet
8 yd = 24 feet and 3 yd = 9 feet
We got the yd by multiplying by 3 to get the number of fett.
Area of a rectangle = base * height
24 feet * 9 feet = 216 square feet
Charlotte owns two entertainment websites. Here are some details about those
websites for one entire month:
Number of writers
Number of posts posted
Average number of words of post
Average likes per post
Average comments per post
Number of new subscribers
Revenue
Expenses
Profit (Revenue-Expenses)
Website A Website B
5
11
110
200
100
170
3500
450
20,000
$75,000
$47,000
$28,000
3500
500
9000
$30,000
$20,000
$10,000
Charlotte wants to know which website produces a larger amount of content per a
single writer.
1) Charlotte thought of two different ways to define this quantity, Identify these two
definitions among the following options.
4 of 4
In order to define the quantity of which of the two website produces a larger amount of content per single writer, Charlotte thought of:
A Average number of posts per writer C Average number of words per writerHow can Charlotte define the quantity?Charlotte wants to know which website has more content per writer which means that she wants to know which website is more productive with writing.
One way she can do this is to check the average number of posts per writer per website. This would show her which website has a writer that writes more content on average.
Charlotte could also use average number of words per writer. This shows just how much writing the writers in each websites are doing, in terms of words. The website with the higher average words per writer is therefore providing more content.
Options for this question include:
A Average number of posts per writerB Total number of wordsC Average number of words per writerD Average number of likes per wordFind out more on using averages as decision tools at https://brainly.com/question/17004212.
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I need step by step
Answer:
The relationship is not proportional
Step-by-step explanation:
Create two ratios and compare (e.g. 2:36 and 6:216, 6 divided by 2 is 3 but 3 multiplied by 36 is 108 meaning that the relationship is not proportional).
Your answer Shadae has 2/4 of a pizza. Robin has 3/8 of a pizza. How much pizza do the girls have altogether? Your answer Samantha drank 1/5 of a gallon of water for breakfast. She drank 3/10 vater after her afternoon workout. How much water did she drink in a
Answer:
Part A. The girls have 7/8 pizza all together.
Part B. Samantha drank 5/10 or 1/2 water that day.
Step-by-step explanation:
Part A. The answer is 7/8 because 2/4 is the same thing as 4/8.
2/4 = 4/8
4/8 + 3/8 = 7/8.
So, for the first question the answer is 7/8.
Part B. The answer is 5/10 because 1/5 = 2/10
1/5 = 2/10
2/10 + 3/10 = 5/10
Hope this helps! :)
Best buy sells a stereo system for $650. Their cost was $450. What is the percent markup
Answer:
30.76%
Step-by-step explanation:
subtract 450-650=200
200÷650×100=30.76
The price of tickets to the Dakota vs. Chippewa football game goes from $6 to $4, which results in a 50% change in demand for tickets. What is the elasticity? What type of product is it?
m-n/m^2-n^2 + ?/(m-1)(m-2) - 2m/m^2-n^2
Answer:
The answer is "\(\bold{\frac{(m-1)(m-2)}{(m-n)}}\)"
Step-by-step explanation:
Given:
\(\bold{\frac{(m-n)}{m^2-n^2} + \frac{?}{(m-1)(m-2)} - \frac{2m}{m^2-n^2}=0}\\\\\)
let, ? = x then,
\(\Rightarrow \frac{(m-n)}{m^2-n^2} + \frac{x}{(m-1)(m-2)} - \frac{2m}{m^2-n^2}=0\\\\\Rightarrow \frac{(m-n)}{m^2-n^2} - \frac{2m}{m^2-n^2}=- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{(m-n)-2m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{m-n-2m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-n-m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-(m+n)}{(m+n)(m-n)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-1}{(m-n)} =- \frac{x}{(m-1)(m-2)} \\\\\)
\(\Rightarrow -((m-1)(m-2))=-x(m-n) \\\\\Rightarrow x= \frac{- (m-1)(m-2)}{- (m-n)} \\\\\Rightarrow \boxed{x= \frac{(m-1)(m-2)}{(m-n)}} \\\)
Maggie clams that there are transformations that preserve the length of the rectangles side. Which of the following transformations could be used to support Maggie’s claim?n
Answer: A B F
Step-by-step explanation:
For the following equation, find the foci of the hyperbola
we use a tool to graph
\(\frac{\left(x-1\right)^2}{9}-\frac{\left(y-5\right)^2}{25}=1\)now find the value of c, c is the distance between foci and find it using
\(c=\sqrt[]{a^2+b^2}\)where a and b are the roots of the denominator on the original function
a=3 and b=5
\(\begin{gathered} c=\sqrt[]{3^2+5^2} \\ c=\sqrt[]{34} \end{gathered}\)the parabola is moved to right 1 unit then we need to add 1 to the measure
\(c=1\pm\sqrt[]{34}\)we have two solutions for c because we have 2 foci
the general form of the foci points on this exercise is
\((c,5)\)y is 5 because it is the transversal axis of the function now replace the two values of c to find the foci
\(\begin{gathered} (1+\sqrt[]{34},5) \\ (1-\sqrt[]{34},5) \end{gathered}\)then right option is the last
Type < or > to make this statement true
Answer:
- \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Step-by-step explanation:
Which number is closer to 0, meaning that number is bigger.
-9/10 = -0.9
-10/10 = -1
We see -0.9 is closer to 0, meaning it is bigger.
So, - \(\frac{9}{10}\) > - \(\frac{10}{10}\)
If a has to be greater than or equal to 1 and less than 10, what does a equal?
Answer:
i think the answer is 5
Step-by-step explanation:
if it greater than or equal to its 1 or higher but, its not 10 because it has to be less than 10 5 falls right in the middle of greater that or equal to 1 but less than 10
When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
the number line is a graph of the real number, intergers, rational numbers
Number line representation
Integers, rational and irrational numbers, all are in the number line