Answer:
h = 20 cm
Step-by-step explanation:
The volume (V) of a square based prism is
V = area of base × h ( h is the height )
area of square base = 9 × 9 = 81 cm²
Hence
81h = 1620 ← equation to be solved
Divide both sides by 81
h = 20 cm
A student wrote the equation of this line as y=1/2x. What mistake did he make?
Answer: C
He forgot the negative sign on 1/2x
Area of a triangle with a base 6 feet and height 9 feet
Solution: 6 x 9 / 2 = 27
If its a triangle its divided by 2 found the sum of base x height.
The area of the triangle is 27 sq.ft
What is Area ?The area can be defined as the space occupied by surface of an object.
The area of a figure is the number of square unit that cover the surface of a closed figure.
The area of a triangle is given by
= (1/2) * base * height
The base of the triangle = 6 feet
The height of the triangle = 9 feet
Therefore the area of the triangle = (1/2) * 6 *9
= 27 sq.ft
Therefore the area of the triangle is 27 sq.ft.
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HELP QUICKLY
The graph shows the total number of hours Katrina worked over a 10-day period.
Answer:
Option C From day 7 to day 8
Step-by-step explanation:
The given graph shows the total number of hours Katrina worked over the period of 10 days.
Now we will calculate the number of hours worked by Katrina for every given options in the question.
Option A - From day 1 to day 2
Katrina worked (6 - 3) = 3 hours
Option B - From day 4 to day 5
Katrina worked (12-12) = 0 hours between the period of 4 to 5 days
Option C - From day 7 to day 8
Katrina worked (18-12) = 6 hours
Option D - From day 9 to day 10
Katrina worked ( 18 - 18) = 0 hours so she took the rest.
According to this, options C represents the work done for maximum hours in one day interval.
You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same distance from the shoreline but 11 feet closer to the station than you. The angles of elevation from you and the other person to the top of the lifeguard station are 36 degrees and 46 degrees, respectively. Estimate the height of the lifeguard station to the nearest tenth of a foot.
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is x.
Keep on mind that:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
Therefore:
For the triangle ABD:
[tex]tan(36\°)=\frac{x}{DC+11}[/tex] [EQUATION 1]
For the triangle ACD:
[tex]tan(46\°)=\frac{x}{DC}[/tex] [EQUATION 2]
Solve from DC from [EQUATION 2]:
[tex]DC=\frac{x}{tan(46\°)}[/tex]
Substitute into [EQUATION 1] and solve for x:
[tex]tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x[/tex]
[tex]x=26.81ft[/tex]≈26.8ft
functions......ugh
.
the answer is (-2,-9) because x's cannot repeat
Which unit would you use to measure the amount of milk in a half-gallon carton?
mL
g
cm
L
Answer would be D which is L
Answer:
L
Step-by-step explanation:
Most people prefer to use a unit of measurement that gives a number they can easily visualize, usually between 0.1 and 1000.
You wouldn't use centimetres, because that is a unit of length, and grams are a unit of mass.
The amount of milk in a half-gallon carton is about 2 L or 2000 mL, so you would measure the milk in litres (L).
How could you correctly rewrite the equation 4(10+5)=6(12-2) using the distributive property?
Answer:
[tex]40 +20 = 72 -12\\\\60 = 60[/tex]
Step-by-step explanation:
If we have an expression in the following way:
[tex]c(a + b)[/tex]
So the distributive property says that:
[tex]c(a + b) = ca + cb[/tex]
In this case we have the expression:
[tex]4(10 + 5) = 6(12-2)[/tex]
Therefore we can rewrite it as:
[tex]4 * 10 + 4 * 5 = 6 * 12 -2 * 6[/tex]
Then we have left:
[tex]40 +20 = 72 -12\\\\60 = 60[/tex]
4*10+4*5=6*12-6*2
40+20=72-12
60=60
Answer: 60=60
Problem #7 PLEASE HELP ;(
Is 6(x+0.4) equivalent to 3(2x+0.8)? YES or NO???????
Show your work!
6(x+0.4) 3(2x+0.8)
Answer:
Yes
6(x+0.4) is equivalent to 3(2x+0.8)
Step-by-step explanation:
Given in the questions two expressions
6(x + 0.4)
3(2x + 0.8)
We will apply distributive law
It is a law relating the operations of multiplication and addition, stated symbolically
a(b + c) = ab + ac6(x + 0.4)
= 6(x) + 6(0.4)
= 6x + 2.4
3(2x + 0.8)
= 3(2x) + 3(0.8)
= 6x + 2.4
Since both equations when expanded have same answers, hence they are equivalent
A pair of linear equations is shown below:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically?
A. Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
B. Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
D. Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answer:
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Step-by-step explanation:
The two equations are in slope intercept form which is y = mx + b where m is the slope and b is the y-intercept.
In the first equation (y = -2x + 3), -2 is the slope since it is the coefficient. "b" is 3 since it is the constant of the equation.
In the second equation (y = -4x -1), -4 is the slope is the coefficient, and the y-intercept is -1 since it is the constant.
To solve the equations graphically, graph them and find the point where they intersect.
The required explanation that is best for the solution of the given equation is given by option c. Option C is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given a system of equations,
y = −2x + 3 (1)
y = −4x − 1 (2)
The slope of equation 1
m = -2 and y-intercept = 3
The slope of equation 2
m = -4 and the y-intercept = -1
So, From option that matched the calculation is
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Thus, the required explanation that is best for the solution of the given equation is given by option c. Option C is correct.
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A line is shown in the graph below.
What is the slope of a line that is perpendicular to the given line?
-3/2
-2/3
2/3
3/2
Answer:
3/2
Step-by-step explanation:
mm,m
Based on the calculations below, the slope of this graph is equal to: C. 2/3.
In Mathematics and Euclidean Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the given data points (0, -2), and (3, 0) into the formula for the slope of a line, we have the following;
Slope of graph = (0 - (-2))/(3 - 0)
Slope of graph = (0 + 2)/(3 - 0)
Slope of graph = 2/3
Based on the graph, the slope is the change in y-axis with respect to the x-axis, and it is equal to 2/3.
Find the perimeter of the larger flag.
Again, scale factor is 12 / 4 = 3.
So Perimeter = 16 * 3 = 48.
The perimeter of the larger flag, which is a square with each side measuring 8 inches, is 32 inches. This is calculated by multiplying the side length by 4, as a square has four sides.
Explanation:Finding the Perimeter of a Larger SquareTo find the perimeter of the larger flag, which resembles a larger square, you need to know the length of one of its sides. Since the problem states that the dimensions are twice that of a smaller square, first, determine the side length of the smaller square. If the side length of the larger square is 8 inches, obtained by scaling up the smaller square's side length by a factor of 2 (4 inches x 2 = 8 inches), you can find the perimeter by multiplying the side length of the larger square by 4 (since a square has four sides).
The calculation for the perimeter of the larger square is as follows: 8 inches x 4 = 32 inches. Therefore, the perimeter of the larger flag is 32 inches.
Which of the following regression equations best fits the data shown below?
Answer:
Choice B best fits the data shown
Step-by-step explanation:
We employ the scatter-plot feature in Ms. Excel and then add an exponential trend line selecting the display equation on chart option. The attachment below is an image from the excel workbook where the task was performed.
From the attachment the regression equation was obtained as;
[tex]y=3.799e^{0.7x}[/tex]
But;
[tex]e^{0.7}=2.01[/tex]
Thus, the regression equation can be expressed as;
[tex]y=3.80*2.01^{x}[/tex]
Sally's soccer team won 68% of the games they played. if they won 17 games, how many did they play?
Answer:
Step-by-step explanation:
Let the number of games played be x. 68% of x comes out to 17 games.
Then 0.68x = 17. Mult. both sides by 100: 68x = 1700.
Divide 68 into 1700 to obtain x, the number of games played: x = 25
The team plays in 25 games.
Show steps: Find the volume of a rectangular prism with a length of x + 9, a width of x – 7, and a height of x – 1. What is its volume expressed as a polynomial?
Answer:
Please see attached picture
Step-by-step explanation:
A rectangular prism has its volume defined as
V_rect_prism = length * height * width
V_rect_prism = (x+9) * (x-1) * (x-7)
The volume expressed as a polynomial can be seen in the picture below.
estimate the measure of <1
I think the answer is most likely 80
i need this done asap pls
my dad said if i get my grades up he will raise my allowance and i rlly want airpods
Answer:
Step-by-step explanation:
t(1) = 4
t(n) = -4 * t(n - 1)
common ratio: -4
t(1) = -4 * t(0)
4 = -4 * t(0)
t(0) = -1
t(n) = -4n * -1
t(1) = -4 (1) * -1
= 4
t(n) = -4n * -1
t(6) = -4*6 * -1
t(6) = 24
Rewrite the equation below so that is does not have fractions
Hey there!
The first thing we should do is to make the fractions have a common denominator.
The least common multiple of 4 and 6 is 12, which we can find by taking the multiples of both and finding the smallest one they have in common.
What we should do it multiply both sides of the equation by 12, which eliminates both fractions.
We now have:
9x - 60 = 10
Hope this helps!
The results of the equation without fraction is 118x = 175
Given the equation
[tex]\frac{3}{5} x - 5 = \frac{5}{6}\\[/tex]
Step 1: Add 5 to both sides of the equation:
[tex]\frac{3}{5} x - 5 +5= \frac{5}{6} + 5\\\frac{3}{5} x= \frac{5}{6} + 5\\[/tex]
Multiply through by 30:
[tex]\frac{3}{5} x \times 30= (\frac{5}{6} \times 30 )+( 5 \times 30)\\(3x \times 6) = (5\times 5) + 150\\18x = 25 + 150\\18x = 175[/tex]
Hence the result of the equation without fraction is 118x = 175
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If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
Answer:
1.5(x)
Step-by-step explanation:
find out how many hours are in 90 minutes
1.5
x miles
Please help :((((( :Is -2(3x-7) equivalent to 19+12x-5-6x? YES or NO???
Show your work!
-2(3x-7) 5+6x-19-12x
Answer:
Yes
-2(3x-7) is equivalent to 5+6x-19-12x
Step-by-step explanation:
Given in the question two expression
-2(3x-7)
5+6x-19-12x
We will apply distributive law to solve first expression
a(b + c) = ab + ac
-2(3x-7)
-2(3x) + -2(7)
-6x -14
For the second expression rearrange the terms
5+6x-19-12x
-12x+6x -19+5
-6x -14
Since both equations when expanded have same answers, hence they are equivalent
The population of a city in 2005 was 18,000. By 2010 the city's population had grown to 45,000. Economists have determined that the population growth follows an exponential model. If they are correct, what is the projected population for 2015?
Step-by-step explanation:
First we have to find percent change by doing change/original
To find change: 45000-18000=27000
Now divide by original. 27000/18000=1.5
The change was 150 percent. Now we multiply 45000 by 150 percent to get the projected population for 2015.
45000*1.5=67500 people
Brainliest? :)
Projected population for 2015 using exponential growth model is 112,500, calculated with initial population of 18,000 and growth rate.
To determine the projected population for 2015 using an exponential growth model, we need to identify the growth rate and use it to extrapolate the population.
The exponential growth model can be represented as:
[tex]\[ P(t) = P_0 \times e^{rt} \][/tex]
Where:
- [tex]\( P(t) \)[/tex] is the population at time [tex]\( t \)[/tex]
- [tex]\( P_0 \)[/tex] is the initial population (in 2005)
- [tex]\( r \)[/tex] is the growth rate
- [tex]\( t \)[/tex] is the time in years since the initial population was measured
First, we need to find the growth rate [tex](\( r \))[/tex]. We can use the data provided from 2005 to 2010:
[tex]\[ P_0 = 18000 \][/tex]
[tex]\[ P(5) = 45000 \][/tex]
Using these values in the formula:
[tex]\[ 45000 = 18000 \times e^{5r} \][/tex]
Now, let's solve for [tex]\( r \)[/tex]:
[tex]\[ \frac{45000}{18000} = e^{5r} \][/tex]
[tex]\[ 2.5 = e^{5r} \][/tex]
Taking the natural logarithm of both sides:
[tex]\[ \ln(2.5) = 5r \][/tex]
Now, divide by 5:
[tex]\[ r = \frac{\ln(2.5)}{5} \][/tex]
Now, we have the growth rate [tex]\( r \)[/tex]. We can use this rate to project the population for 2015 [tex](\( t = 10 \) years)[/tex]:
[tex]\[ P(10) = 18000 \times e^{\frac{\ln(2.5)}{5} \times 10} \][/tex]
Now, calculate this:
[tex]\[ P(10) = 18000 \times e^{\ln(2.5) \times 2} \][/tex]
[tex]\[ P(10) = 18000 \times e^{\ln(2.5^2)} \][/tex]
[tex]\[ P(10) = 18000 \times e^{\ln(6.25)} \][/tex]
[tex]\[ P(10) = 18000 \times 6.25 \][/tex]
[tex]\[ P(10) = 112500 \][/tex]
So, the projected population for 2015 is 112,500.
HELP PLZ (40 POINTS)
1) 2 and 3
2) skewed right
3) skewed left
*Will mark brainest!!* Write an equation in point slope form
(-9,7) m=4
Answer:
y-7 = 4(x+9)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is the point
y-7 = 4(x--9)
y-7 = 4(x+9)
Which of the following represents the value of the nearest side? Round to the nearest tenth.
I think it’s b I’m currently learning the same thing in my class
Answer:
The answer is A. 2.0
Step-by-step explanation:
One of the angles is a right angle, because x is the tangent of that circle. The other radius is 1.5, since all radius are equal to each other. Then you use the Pythagorean theorem (a²+b²=c²). C is always the hypotenuse. The hypotenuse in this triangle is the 1.5 + 1 line. A and b can be changed within each other. I put A = 1.5, B = x, and C = 2.5. My equation was 1.5²+x²=2.5². Remember the formula can also be x²+1.5²=2.5² as well. Then you solve the equation you just made. You multiply everything by each other, because of the ² (I forgot the name of it, hehehe). You will get 2.25+x²=6.25. Then you subtract 2.25 to both side. x²= 4. Then you square root both sides to make x by itself. x=2. That's how you get 2 as your answer
Use the model to write the equation that represents the problem.
I have one-half of a square and I want to divide it by one-eighth. How many pieces would I have?
A) 1
2
÷ 1
8
= 4
B) 1
2
÷ 1
8
= 1
4
C) 1
8
÷ 1
4
= 2
D) 1
8
÷ 1
4
= 1
2
(look at the photo)
It’s 4! Those seem wrong lol
Answer: is A 4
Step-by-step explanation:
to solve a system using the additional method, you would need to multiply the first equation by what number in order for the x’s to add out? 3x-y=3, -2x+2y=6
Answer:
2
Step-by-step explanation:
In order to solve a system using the additional method, we would need to multiply the first equation by '2' in order for the x’s to add out.
We have the following equations:
[tex] 3 x - y = 3 [/tex] --- (1)
[tex] -2x + 2y = 6 [/tex] --- (2)
We will multiply equation (1) by 2 and equation (2) by 3 to cancel the x's.
[tex] 2 ( 3x - y = 3 ) = [/tex] [tex] 6x - 2 y = 6 [/tex]
[tex] 3 ( -2x + 2 y = 6 ) = -6x + 6y = 36 [/tex]
Please I need the correct answer please
(−1
2 )(n^3)+
1
2 n^2+4.6n+(−
1
2)(n^3)+
1
2 n^2+4.5n
=
−1
2 n^3+
1
2 n^2+4.6n+
−1
2 n^3+
1
2 n^2+4.5n
Combine Like Terms:
=
−1
2 n^3+
1
2 n^2+4.6n+
−1
2 n^3+
1
2 n^2+4.5n
=(−1
2 n^3+
−1
2 n^3)+(
1
2 n^2+
1
2 n^2)+(4.6n+4.5n)
=−n^3+n^2+9.1n
Answer:
=−n^3+n^2+9.1n
Everything underlined means its a fraction/divided hope this helps :D
Which of the following data represents an actual probability?
A computer randomly generates 6 out of 100 numbers.
An observer notes the number of pepperoni, cheese, vegetarian pizzas are ordered out of 100 orders.
A card shuffling machine picks cards from a standard deck.
None of the above
A card shuffling machine picks cards from a standard deck.
If you flip a coin 4 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
2
Step-by-step explanation:
Each time you flip a coin, there is a 50% change of it landing on tails. So half the time you should get a tails.
Half of 4 is 2, so you will likely get 2 tails.
Final answer:
When you flip a coin 4 times, the best prediction for the number of tails is 2, based on the equal 50-50 chance for heads or tails on each toss. However, you may actually get any number of tails from 0 to 4 due to randomness.
Explanation:
If you flip a coin 4 times, the best prediction for the number of times it will land on tails can be determined by understanding probability. Each coin flip represents an independent event with a 50-50 chance of landing on either heads or tails. Therefore, over a small number of flips, such as 4, it is expected that you will get tails approximately half the time. However, it is possible to see any combination of heads and tails.
When considering all the possible outcomes of flipping a coin 4 times:
4 heads, 0 tails (HHHH)
3 heads, 1 tail (HHHT, HHTH, HTHH, THHH)
2 heads, 2 tails (HHTT, HTHT, HTTH, THHT, THTH, TTHH)
1 head, 3 tails (HTTT, THTT, TTHT, TTTH)
0 heads, 4 tails (TTTT)
Given that each of these outcomes is equally likely, the prediction would be 2 tails because it is the average outcome. However, it is important to recognize that while 2 tails is the most likely single outcome, any number of tails between 0 and 4 is possible due to the randomness of each flip.
comeplete the table for the following function
y = (1/3)
graph the function and describe what the graph looks like
The correct answer is C. The graph of the function [tex]y = (1/3)^x[/tex] decreases from left to right, exhibiting exponential decay as x increases.
To complete the table for the function [tex]y = (1/3)^x[/tex], we need to substitute the given values of x into the equation and calculate the corresponding values of y.
Let's start by substituting -3 into the equation:
y = (1/3)^(-3)
y = 1/(1/3)^3
y = 1/1/27
y = 27
Next, let's substitute -1 into the equation:
y = (1/3)^(-1)
y = 1/(1/3)^1
y = 1/(1/3)
y = 3
Then, let's substitute 0 into the equation:
y = (1/3)^0
y = 1
After that, let's substitute 1 into the equation:
y = (1/3)^1
y = 1/3
Lastly, let's substitute 2 into the equation:
y = (1/3)^2
y = 1/9
Therefore, the completed table is as follows:
x | -3 | -1 | 0 | 1 | 2 | 3
y | 27 | 3 | 1 | 1/3 | 1/9 | 1/27
To graph the function y = (1/3)^x, we plot the points from the completed table on a graph. The graph of this function is an exponential decay curve that starts at (0, 1) and decreases as x increases. The curve is steeper for larger x values and approaches the x-axis as x approaches infinity.
In terms of the given options, the correct answer would be C. The graph of the function decreases from left to right.
How many possibly outcomes of flipping a coin four times?
8 times because you take 4 times 2 and get 8
Reasoning:
There are 2 outcomes if you flip only one coin (H or T).
There are 2^2 = 2*2 = 4 outcomes if you flip two coins (HH, HT, TH, TT).
There are 2^3 = 2*2*2 = 8 outcomes if you flip three coins.
There are 2^4 = 2*2*2*2 = 16 outcomes if you flip four coins.