Answer:
144
Step-by-step explanation:
Answer:
12*12
Is 12 x 12
And 12 x 12 = 144
You are welcome :)
In the middle school math class of 30 students, 24 got a grade over 90 points on a unit test. What decimal and the percent of the students got a grade above 90 points?
The percentage of students who got above 90 point is 80%
the decimal student got grade above the 90 points is 0.8
What is Decimal?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the name for the method of representing numbers in the decimal system.
Given,
Total no. of students = 30
No. of students who score above 90 points = 24
We have to find the percentage of the students who got above 90 points
So, to calculate,
24 / 30 x 100 = 80%
Now, we have to convert percent into decimal
so, we have,
80 / 100 = 0.8
Hence, 80% percent student got grade above 90 points
And 0.8 of the student got grade above the 90 points
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You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?
Answer:
400 ft²
Step-by-step explanation:
The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²
Find the slope
How can I find the slope
Answer:
You should use the y2 - y1 /x2 - x1
To find the answer you should be able to plug in the x and the y in the equation with the coordinates that you have but I'm not sure if you don't have what you'll do
What problem models the equation 1/2divided by 8
Answer:
(1/2) / 8 = 1/16
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!!!Answer:
(1/2) ÷ 8 = 1/16
I had this question before, hope this helped!
HELP ME OUT PLS!!!!!!!
The model represents an equation. What value of x makes the equation true?
A) 15/4
B) 15/8
C) -15/4
D) -15/8
Answer:
B
Step-by-step explanation:
-6x + 6 = 2x - 9
-6x + 15 = 2x
15 = 8x
x = 15/8
All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps you34,280+d+1000>36,480
Answer:
d=12
Step-by-step explanation:
Philip is allowed to watch 2 hours of television each day Monday through Thursday and 4 hours of television each day Friday through Sunday. Which of the following equations can be used to calculate the number of hours of television Philip is allowed to watch in x weeks?
Answer:
s=x(20)
Step-by-step explanation:
s= solution
x= # of weeks
4x2=8
4x3=12
12+8=20
what is
1/3 x (15+6)
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
\(\frac{1}{3}\)
Then we move onto the multiplication which is the last part
\(\frac{1}{3}\) ×21= \(\frac{21}{3}\) =7
GEOMETRY 100 POINTS
Find the length of BC
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Last year and investor purchased 115 shares of stock A at $90 per share
The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10
The third option is correct.
How do we calculate?For stock A:High price value: 115 shares * $105.19 per share = $12,084.85
Low price value: 115 shares * $103.25 per share = $11,858.75
For stock B:High price value: 30 shares * $145.18 per share = $4,355.40
Low price value: 30 shares * $143.28 per share = $4,298.40
The overall value at high price:
$12,084.85 + $4,355.40
= $16,440.25
The overall value at low price:
$11,858.75 + $4,298.40
= $16,157.15
In conclusion, the difference in overall gain or loss:
$16,440.25 - $16,157.15 = $280.10
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HELP ASAP FOR SYSTEM EQUATIONS PLEASEEE!!! SEEE THIS SHOW WORK IN plss Tysm
The price of each drink bought by Alena was :
Soda - $ 2Juice - $ 2How to find the price of each drink ?Let's represent the price of a case of juice as j and the price of a case of soda as s. The equations are :
7j + 9s = 32
7j + 11s = 36
Multiply the first equation by 11 and the second equation by 9 to get rid of the s variable:
77j + 99s = 352
63j + 99s = 324
Then solving for j gives:
14j = 28
j = $ 2
s would then be :
7(2) + 9s = 32
9s = 18
s = 2
Therefore, a case of juice costs $2, and a case of soda also costs $2.
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Match the definition to the appropriate vocabulary term
Answer: appropriate is correct and fits the situation. A sweater-vest with reindeer on it is appropriate holiday apparel, even if it's totally embarrassing.
Step-by-step explanation:
What is the value of x?
06/2
х
O 12
672
12v2
45°
1
2.
3
4.
5
6
7
8
10
Answer:
12
Step-by-step explanation:
The hypotenuse of a 45-45-90 triangle is equal to the length of a leg times \(\sqrt{2}\)
So, in your problem,
\(x = 6\sqrt{2} (\sqrt{2}\)
= 6(2) = 12
The length of the hypotenuse is x = 6√2.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
In a right triangle, the height is one leg of the triangle and the hypotenuse is the longest side.
We can use trigonometric ratios to find the length of the other leg.
Since the angle opposite the height is 45 degrees, and we know that the tangent of 45 degrees is 1, we can write:
tan(45°) = opposite/adjacent = 6√2/x
Multiplying both sides by x gives:
x tan(45°) = 6√2
Since tan(45°) = 1, we can simplify it to:
x = 6√2
Thus,
The length of the hypotenuse is x = 6√2.
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Researchers were interested in whether eating fruits and vegetables impacts life expectancy. Below
are the life expectancy data from people who ate a diet centered around fruits and vegetables for
much of their lives and data from people who did not eat many fruits and vegetables throughout
their lives. Conduct the steps of hypothesis testing on these data.
Data table: Life expectancies for people to ate fruits and vegetables vs those who did not eat
fruits and vegetables.
Did not eat fruits and vegetables
82
83
92
71
81
Ate fruits and vegetables
71
75
81
74
95
73
First step is null hypothesis and alternative test and next steps includes testing these hypothesis.
To conduct hypothesis testing on these data, we need to follow the following steps:
Step 1, State the null hypothesis and alternative hypothesis
Null Hypothesis (H0), There is no significant difference in life expectancy between people who eat fruits and vegetables and people who do not eat fruits and vegetables.
Alternative Hypothesis (Ha), People who eat fruits and vegetables have a higher life expectancy than people who do not eat fruits and vegetables.
Step 2, Decide the level of significance (alpha)
Let's assume the level of significance to be 0.05 (5%).
Step 3, Determine the test statistic and the critical value
We will use a two-sample t-test since we are comparing two independent samples. We can use Excel or any statistical software to calculate the test statistic and the critical value.
Using Excel, the test statistic (t) is -1.98, and the critical value (t_critical) is ±2.306.
Step 4, Determine the p-value
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true.
Using Excel, the p-value is 0.077.
Step 5, Make a decision and interpret the results
Since the p-value (0.077) is greater than the level of significance (0.05), we fail to reject the null hypothesis. There is insufficient evidence to conclude that people who eat fruits and vegetables have a higher life expectancy than people who do not eat fruits and vegetables.
Therefore, we can conclude that there is no significant difference in life expectancy between people who eat fruits and vegetables and people who do not eat fruits and vegetables, based on the given data. However, we should keep in mind that this conclusion is based on a small sample size and may not be generalizable to the entire population.
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Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is nothing. The unit rate is nothing. This means that each floor of the building is nothing ft high.
Answer:
144:9
16
16 ft high
Step-by-step explanation:
Easy...could also be written as 144/9 or 144 to 9
Divide
Same thing
Hope this helps. Have a nice day
identify each function as linear or exponential. explain. prompt 1f(x) equals the number of boxes in row x of a stack in which each row increases by 2 boxes answer for prompt 1 f(x) equals the number of boxes in row x of a stack in which each row increases by 2 boxes prompt 2f(x) equals the number of branches at level x in a tree diagram, where at each level each branch extends into 4 branches.
\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.
In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.
A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.
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The complete question is-
Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.
6x ( 2/3 divided by 2)+ 0.5
Answer:
2.5
Step-by-step explanation:
Given expression:
\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)
Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.
When dividing a fraction by a whole number, first covert the whole number into a fraction:
\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)
When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:
\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)
\(\implies 6 \times \dfrac{2}{6}+0.5\)
Now carry out the multiplication:
\(\implies \dfrac{6 \times2}{6}+0.5\)
\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)
\(\implies 2+0.5\)
Finally carry out the addition:
\(\implies 2.5\)
2.5
6*(2/3)/2 + 0.5
6*1/3 + 0.5
2 + 0.5
=2.5
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
7 cm
14 cm
Dmitri will need
23 cm
glass tiles.
Answer:
372
Step-by-step explanation:
We are given that the dimensions of the box are,
Length = 15 cm, Width = 20 cm and Height = 9 cm.
We know that the box represents a cuboid.
Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H
Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9
i.e. Surface area = 300 + 270 + 360
i.e. Surface area = 930.
Thus, the surface area of the box is 930 cm² i.e. 9300 mm².
Further, the sides of the tiles are 5 mm and the tile represents a square.
So, the surface area of the tile = 5 × 5 = 25 mm².
This gives us that,
Number of tiles required to cover the box = = 372.
Hence, Dmitri requires 372 tiles to cover the box.
Ann’s penny bank is 3/10 full. After she adds 200 pennies , it is 1/2 full . How many pennies can Ann’s bank hold ?
Solution
Let x be the number of pennies Ann's bank can hold
So, from the question we have that
\(\begin{gathered} \frac{3}{10}x+200=\frac{1}{2}x \\ \\ multiply\text{ through by 10} \\ \\ 3x+2000=5x \\ \\ 2000=5x-3x \\ \\ 2000=2x \\ \\ x=\frac{2000}{2} \\ \\ x=1000 \end{gathered}\)The answer is 1000 pennies
An isosceles right triangle has a hypotenuse that measures 4√2 cm. What is the area of the triangle?
PLEASE HELP
Answer:
8
Step-by-step explanation:
As it's an isosceles right triangle, it's sides are equal, say x. x^2+x^2=(4*sqrt(2))^2. x=4, Area is (4*4)/2=8
Fifteen percent of the workers at Nationwide Industries earn
minimum wage. If 24 workers earn minimum wage, how
many total workers are there at Nationwide Industries?
\(\frac{24}{0.15}=\boxed{160}\)
Due to the tide, the water level rises and falls daily in Buzzard's Bay. D gives the depth of the water, in meters, t hours after midnight on a certain day. What is the best interpretation for the following statement? The value of the derivative of D at t = 8 is equal to -0.5. Choose 1 answer a. At 8 a.m. the water level decreased at a rate of 0.5 meters per hour. b. At 8 a.m. the water level decreased at a rate of 0.5 meters. c. At 8 a.m. the water level was 0.5 meters below sea level. d. Until 8 a.m. the water level decreased at a rate of 0.5 meters per hour.
The correct interpretation for the statement D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
How to interpret the function notation D'(n)From the question, we have the following parameters that can be used in our computation:
The function D gives the depth of the water, in meters, t hours after midnight on a certain day
This means that
D = depth in meters
t = time in hours
From the question, we have
Notation = D(n)
Also, from the question, we have
D'(8) = -0.5
This is the inverse of the function D(t)
So, the values of the parameters are
D(t) = -0.5
t = 8
This means that the number of hours is 8 and the depth is -0.5 meters
Hence, the interpretation of D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
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My child is in 5th grade ..Please assist with this question..
If 12 boys take 3 days to paint a room,how long will it take 9 boys to complete the same job?
Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15
Answer:
its 3 3/4 or in decimal form 3.75
Step-by-step explanation:
15 divided by 4 gives you that answer
Find the length of side x to the nearest tenth.
Given:-
A right angled triangle is given to us .Two angles are 45° , longest side is 5 and another side is "x" .To find:-
The value of x .Answer:-
In the given right angled triangle, we may use the trigonometric ratios. We can see that the measure of the longest side is 5 which is hypotenuse and the measure of perpendicular needs to be find out .
We may use the ratio of sine here as , we know that in any right angled triangle,
\(\implies\sin\theta =\dfrac{p}{h} \\\)
And here , p = 5 and h = x , so on substituting the respective values, we have;
\(\implies \sin\theta = \dfrac{x}{5} \\\)
Again here angle is 45° . So , we have;
\(\implies \sin45^o =\dfrac{x}{5} \\\)
The measure of sin45° is 1/√2 . so on substituting this we have;
\(\implies \dfrac{1}{\sqrt2}=\dfrac{x}{5} \\\)
\(\implies x =\dfrac{5}{\sqrt2}\\\)
Value of √2 is approximately 1.414 . So we have;
\(\implies x =\dfrac{5}{1.414} \\\)
\(\implies \underline{\underline{\red{\quad x = 3.53\quad }}}\\\)
Hence the value of x is 3.53 .
and we are done!
Answer:
The length of side x to the nearest tenth is 3.5.
Step-by-step explanation:
From inspection of the given right triangle, we can see that the interior angles are 45°, 45° and 90°. Therefore, this triangle is a 45-45-90 triangle.
A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2. Therefore, the formula for the ratio of the sides is b: b : b√2 where:
b is the measure of the legs opposite the 45° angles.b√2 is the longest side (hypotenuse) opposite the right angle.We have been given the hypotenuse, so:
\(\implies b\sqrt{2}=5\)
Solve for b:
\(\implies \dfrac{b\sqrt{2}}{\sqrt{2}}=\dfrac{5}{\sqrt{2}}\)
\(\implies b=\dfrac{5}{\sqrt{2}}\)
The side labelled "x" is one of the sides opposite the 45° angles, so:
\(\implies x=b\)
Substitute the found value of b into the equation for x:
\(\implies x=\dfrac{5}{\sqrt{2}}\)
\(\implies x=3.5355339...\)
\(\implies x=3.5\;\sf(nearest\;tenth)\)
Therefore, the length of side x to the nearest tenth is 3.5.
In the XY coordinate plane shown below point P has coordinate 8-6 which of the following is an equation of the line coordinate points 0 and P
Answer:
3x + 4y = 0
Step-by-step explanation:
To find the equation of the line passing through the points (0,0) and P(8,-6), we need to determine the slope of the line and the y-intercept.
The slope of the line can be found using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 0) and (x2, y2) = (8, -6)
m = (-6 - 0) / (8 - 0) = -6/8 = -3/4
The y-intercept can be found by substituting the coordinates of P into the equation y = mx + b and solving for b:
-6 = (-3/4)(8) + b
b = -6 + 6 = 0
Therefore, the equation of the line passing through the points (0,0) and P(8,-6) is:
y = -3/4 x + 0
or
4y = -3x
or
3x + 4y = 0
So the answer is 3x + 4y = 0.
Hope this helps!
Find each key feature of the function shown in the graph. Enter all intervals using interval notation. Enter the x-intercepts as values of x only.
range=
domain=
x-intercepts=
average rate of change over the interval [0,2]=
the right-most interval where the graph is positive=
Answer:
Step-by-step explanation:
Range of the function is the set of y-values (output values) of the function on the graph.
Domain of the function is the set of x-values (input values) of the function.
Domain of the function : [-5, 4)
(including x = -5 and excluding x = 4)
Range : [-4, 2)
(Including y = -4 and excluding y = 2)
x - intercepts : x = -5, -2, 2
Average rate of change over the interval [0, 2]
= \(\frac{f(2)-f(0)}{2-0}\)
= \(\frac{0-(-4)}{2-0}\) [Since, f(2) = 0, f(0) = -4]
= 2
Right most interval where the graph is positive → [2, 4]
The key feature of a function include the intercepts and intervals of the function
The range is [-4,2)The domain is [-5,4)The x-intercepts are -2 and 2The average rate of change over the interval [0,2] is 2The right-most interval where the graph is positive is [2,4](a) The range
The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.
So, the range is:
\(\mathbf{Range = [-4,2)}\)
(b) The domain
The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.
So, the domain is:
\(\mathbf{Domain = [-5,4)}\)
(c) The x-intercepts
This is the point where the graph crosses the x-axis.
So, we have:
\(\mathbf{x-intercept =-2 \ and\ 2}\)
(d) Average rate of change over [0,2]
From the graph, we have:
f(0) = -4
f(2) = 0
So, the average rate of change (m) is:
\(\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}\)
\(\mathbf{m = \frac{0 - -4}{2 - 0}}\)
\(\mathbf{m = \frac{4}{2}}\)
\(\mathbf{m =2}\)
(d) The right-most interval where the graph is positive
The graph is positive from x = 2 to x = 4.
Hence, the right-most interval where the graph is positive is [2,4]
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There were 120 planes on an airfield. if 75% of the plane took off for a flight, how many planes took off?
Answer:
90 planes
Step-by-step explanation:
Take the total number of planes and multiply by the percentage of planes that took off
120 * 75%
120 * .75
90