We have that the equation of the volume of a rectangular prism is:
[tex]V=w\cdot h\cdot d[/tex]in this case, we have the following information:
[tex]\begin{gathered} w=4\operatorname{cm} \\ h=3\operatorname{cm} \\ d=5\operatorname{cm} \end{gathered}[/tex]then, using the formula we have:
[tex]\begin{gathered} V=4\cdot3\cdot5=12\cdot5=60 \\ V=60\operatorname{cm}^3 \end{gathered}[/tex]therefore, the volume of the prism is 60 cm^3
f(x) = x^2 - 9x + 2 evaluate f(-2)
ANSWER
f(-2) = 24
EXPLANATION
We are given the function:
[tex]f(x)=x^2-9x+2[/tex]To find f(-2), we have to subtitute -2 for x in the function. That is:
[tex]\begin{gathered} f(-2)=(-2)^2-9(-2)+2 \\ f(-2)=4+18+2 \\ f(-2)=24 \end{gathered}[/tex]That is the answer.
Someone answer this?
Answer:
lawsuits
Step-by-step explanation:
Write a system of two linear equations in two variables that you can
solve by subtracting the equations and that results in a solution of (3, 1).
The system of two linear equations in two variables that we can solve by subtracting the equations and that results in a solution of (3, 1) is:-
x + y = 4
2x - 3y = 3
Let x + y be equation (1) and 2x - 3y = 3 be equation (2).
Multiplying (1) by 2, we get,
2x + 2y = 8 ...(3)
(3) - (2), we get,
(2x - 2x) + (2y - (-3y)) = 8 - 3
0 + 5y = 5
y = 5/5 = 1
y = 1
Putting y = 1 in (1), we get
x + 1 = 4
x = 4 - 1
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Let f(x) = 4x-5 and g(x) = 3x, find (f+g)(x).
Answer:
7x-5
Step-by-step explanation:
Find the equation of a circle with the center at ( 0, 0 ) and a radius of 1.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given details
[tex]\begin{gathered} center:(0,0) \\ radius:1 \end{gathered}[/tex]STEP 2: Write the formula for equation of a circle
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ Where\text{ }(h,k)\text{ is the center} \\ r\text{ is the radius} \end{gathered}[/tex]STEP 3: Find the equation of the circle
[tex]\begin{gathered} By\text{ substitution,} \\ (x-0)^2+(y-0)^2=1^2 \\ x^2+y^2=1^2 \\ x^2+y^2=1 \end{gathered}[/tex]Hence, the equation of the circle is given as:
[tex]x^2+y^2=1^[/tex]Find the missing angle measures. PLS HELP IM SO CONFUSED AND I HAVE A TEST TOMMROW
Answer:
7. x = 35 y = 25
6. m = 129
10. 30
Step-by-step explanation:
The sum of the interior angles of a tringle is 180°. The smaller tringle on the right adds up to 180.
One angle is 90, that is the angle that has a small square. Another angle is 55 so the last angle needs to be 35 (90+ 55+35 = 180)
The larger triangle is 25 (90 + 55 + 10 + 25 = 180)
6 m= the sum of the other two angles that are given
10 140 = 90 + 1
1 = 30
Answer:
Step-by-step explanation:
I think you are trying to answer #7 ? I'll do that one
I see that you knew X =35°
and you knew that b/c it's always 180° around the inside, or interior , or minor angles of the RIGHT triangle (i'm making a big point out of the triangle being a "Right" one, b/c it matters for what we know about the triangle.)
so now you can add 10° to the 55° to get the next bigger RIGHT triangle.
65° is the upper angle so the ∠z = 25°
also you know [tex]y^{0}[/tex] b/c you know [tex]x^{0}[/tex] = 35° and
[tex]y^{0}[/tex] + [tex]x^{0}[/tex] = 180 , again
[tex]y^{0}[/tex] = 180-35
[tex]y^{0}[/tex] = 145°
Carlos works a total of 86 hours in four weeks. He works 18.5 hours each week for three weeks. How many hours does Carlos work in the fourth week?
We are given the following information
Carlos works a total of 86 hours in four weeks.
He works 18.5 hours each week for three weeks.
To determine how many hours Carlos work in the fourth week, we can set up the equation
[tex]86=18.5(3)+x[/tex]We can make x the subject of the formula
[tex]\begin{gathered} x=86-18.5(3) \\ x=86-55.5 \end{gathered}[/tex]Simplifying further
[tex]x=30.5[/tex]Therefore in the fourth week, Carlos will work 30.5 hours
A golf course charges $18 for a package including the full 18-hole course.the course also sells buckets of golf balls for $20.the golf course would like to earn $400 by the end of the day
The linear equation that represents the given problem is 18x + 20y = 400.
We are given that the golf course charges $18 for a package including the full 18-hole course. The course also sells buckets of golf balls for $20 each. The golf course wants to earn a total of $400 by the end of the day. We need to find the linear equation for this situation.
Let the number of golf course packages sold be represented by the variable "x". Let the number of buckets of golf balls sold be represented by the variable "y". The equation is written below.
18x + 20y = 400
The complete question is given below.
A golf course charges $18 for a package including the full 18-hole course. The course also sells buckets of golf balls for $20 each. The golf course would like to earn $400 by the end of the day. Write a linear equation that describes the problem.
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What ratio is equal to 4:18?
Answer:
2:9
or
8:32
There are many
Answer: 8:36 or 12:54
Step-by-step explanation:
All you have to do is multiply both by 2, so 4 times 2 is 8 and 18 x 2 is 36, and the answer is 8:36.
Colette earned a total of $15 for 3 hours of yard work. How many hours in all will it take Colette to earn $20? Assume the relationship is directly proportional.
Answer:
Step-by-step explanation:
It would take four hours because you divide fifteen dollars by three hours which would be five per hour. If each hour is five dollars, then four hours would be twenty dollars.
of the 1800 students enrolled in school 55% are girls of the girls attending the school 30% take the bus to school of the boys attending the school 70% take the bus to school how many boys take the bus to school
If 55% of the students are girls, 45% of the students are boys
[tex]1800\cdot0.45=810[/tex]It means there are 810 boys. From this number, 70% take the bus to school
[tex]810\cdot0.70=567[/tex]It means 567 boys take the bus to school.
How many real solutions does the function shown on the graph have?
Ono real solutions
one real solution
Otwo real solutions
cannot be determined
The number of real solutions that the function graph has is; One real solution
How to interpret quadratic function graphs?The general form of a quadratic equation with a regular parabola is;
y = ax² + bx + c
Now, we are given a quadratic equation graph showing the parabola curve and as such, the number of different real solutions that a function of this nature possesses is given by the number of times it crosses the x-axis(also known as the horizontal axis) on the graph.
In this question, the function crosses the x-axis just once and as such we say that it has only one real solution.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
To the nearest tenth, the sides measure 4.5, 9.5, and 10.5 units.
Step-by-step explanation:
[tex]{x}^{2} + {(x + 5)}^{2} = {(x + 6)}^{2} [/tex]
[tex] {x}^{2} + {x}^{2} + 10x + 25 = {x}^{2} + 12x + 36[/tex]
[tex]2 {x}^{2} + 10x + 25 = {x}^{2} + 12x + 36[/tex]
[tex] {x}^{2} - 2x - 11 = 0[/tex]
x = 4.5, so x + 5 = 9.5 and x + 6 = 10.5
What is the answer???
What is 0.0032% in fraction form
% represents a fraction with a denominator 100
[tex]\frac{0.0032}{100}[/tex]0.0032 is a decimal
[tex]0.0032=32\cdot10^{-4}[/tex]Therefore
[tex]\frac{32\cdot10^{-4}}{100}=\frac{32\cdot10^{-4}}{10^2}=\frac{32}{10^2\cdot10^4}=\frac{32}{10^6}=\frac{32}{1000000}[/tex]Using the digits 1 to 10 at most one time each, fill in the boxes to make the result is closest to 1
Answer:
Using the digits 1 to 10 at most one time each to fill the given boxes, the value that makes the expression closest to 1 is;
[tex]\frac{(\frac{10}{5})^6}{(\frac{4}{1})^3}[/tex]Explanation:
Given the question in the attached image.
To make sure the result of the expression is closest to 1, we must make sure the value of the denominator and the numerator of the fraction is as close as possible.
[tex]\text{ denominator }\approx\text{ numerator}[/tex]Picking a set of values for the numerator, we must also try to select a separate set of values for the denominator that gives a result that is almost equal to the numerator.
Using this method we can arrive at a possible solution;
[tex]\frac{(\frac{10}{5})^6}{(\frac{4}{1})^3}[/tex]Let us simplify this expression to confirm;
[tex]\frac{(\frac{10}{5})^6}{(\frac{4}{1})^3}=\frac{(2)^6}{(4)^3}=\frac{64}{64}=1[/tex]Therefore, Using the digits 1 to 10 at most one time each to fill the given boxes, the value that makes the expression closest to 1 is;
[tex]\frac{(\frac{10}{5})^6}{(\frac{4}{1})^3}[/tex]A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses.11, 11, 4, 9, 10, 17Find the mean number of hours for these students.If necessary, round your answer to the nearest tenth.hours
The mean number of hours for these students 10.3
Explanation:Given the following data:
11, 11, 4, 9, 10, 17
The mean is the sum of the data divided by the number of elements in the data.
Sum of data is:
11 + 11 + 4 + 9 + 10 + 17 = 62
Number of elements in the data is:
6
The mean is now:
62/6 = 10.3
Emma drew 11 hearts and 20 cycles.What is the ratio of circles to hearts in simplified form?
The ratio of a to be is expressed as a/b or a:b
Given that Emma drew 11 hearts and 20 cycles, the ratio of circles to hearts would be
20/11
Looking at the above ratio, there are no common factors. This means that it cannot be simplified further. Therefore, the ratio of circles to hearts in simplified form is
20/11
I need know the answer and how to write out my answer as well
5 . 3
6 I 3 1 . 8
- 3 0
1 8
- 1 8
0
Therefore, the answer is 5.3
Which box plot represe nts the data sei {1,3,5,7,9,11)? -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 © 2018 Songlind Created using Geogebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 2018 Song Crested using GeoGebra 1 2 3 4 5 6 7 8 9 10 11 © 2018 Songs Created using GeoGebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12-13 2018 StrongMind Created using GeoGebra
The graphs represents the box plot of the data, then it divides the data in fourths.
Since we have 6 data, the median must be the average
[tex]\frac{5+7}{2}=6[/tex]Since the only option where the median is in the number 6 is the third one then that is the correct answer.
But we can analyse more about the data, since
[tex]\begin{gathered} \frac{1}{6}\cong0.167 \\ \frac{2}{6}\cong0.33>0.25 \end{gathered}[/tex]Then, the firs quartile must be at the second number, that is, the number 3, and the third quartile at the fifth number, that is, 9.
Two hikers are walking along a marked trail. The first hiker starts at a point 6 miles from the beginning of the trail and walks at a speed of 4 mi/h. At the same time, the second hiker starts 1 mi from the beginning and walks at a speed of 3 mi/h
a.) what is a system of equations that models the situation?
b.) graph the two equations and find the intersection point
c.) is the intersection point meaningful in this situation? Explain.
Please help I need the answers if a explanation is available then it is greatly appreciated.
Please no Quizlet
Answer: You didn't say if they are walking towards each other or walking in the same direction away from the beginning of the trail.
if they are walking in the same direction they will never meet
because a is already 5 miles ahead and walking faster
r*t=d
rate
y=mx+b
y=rt+b
y=4t+6 first hiker
y=3t+1 second hiker
set them equal and see if there is a solution
if there is a solution it is the intersection
The solution is minus -5 which means they might have met 5 hours ago.
If they are walking towards each other
6-1=5
4t+3t=5
7t=5
t=5/7 hours they will meet after hiking 5/7 hours
Step-by-step explanation:
4x = 4x -3 how many solutions?
Answer:
No solutions
Step-by-step explanation:
Answer: no solution
= 4x = 4x -3
= 4x - 4x = -3
0 = -3
no solution
Trey drew a map of the summer camp he is staying at this summer. He graphed the point D(-4.5, 4.5) for the dining
hall. The flag pole is located at D', a reflection of D across the y-axis. The campfire is located at D", a reflection of D'
across the x-axis.
Identify the ordered pair that describes the location of the campfire. Express your answer using decimal notation.
The coordinates of the campfire is D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )
What is Reflection?
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the y-axis is (-x, y)
Given data ,
Let the coordinates for the dining be = D (x , y )
Let the coordinate of the point D (x , y ) be = D ( -4.5 , 4.5 )
Now ,
The coordinates for the flag pole is D'
where D' ( x₁ , y₁ ) is the reflection of D (x , y ) across the y-axis
So , When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the y-axis is (-x, y)
Therefore , D' ( x₁ , y₁ ) = D' ( 4.5 , 4.5 )
Now ,
The coordinates for the campfire is D'' ( x₂ , y₂ )
where D'' ( x₂ , y₂ ) is the reflection of D' ( x₁ , y₁ ) across the x-axis
So , When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the x-axis is (x, -y)
Therefore , D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )
Hence , The coordinates of the campfire is D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )
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What is 10 × 1/2 ? All the answers I see are confusing!!
help fast!!!!!!! i need help
........
Step-by-step explanation:
so for the equation below for the indicated variable 1/3 ab squared equals 6 .⅓ab²= 6 solve for a
The given expression is ,
[tex]\frac{1}{3}ab^2=6[/tex]Divide both sides by 1/3 implies,
[tex]\begin{gathered} ab^2=\frac{6}{\frac{1}{3}} \\ ab^2=18 \end{gathered}[/tex]The, divide both sides by b^2 gives,
[tex]a=\frac{18}{b^2}[/tex]Therefore, a=18/b^2.
(Lesson 12.2) Graph the system of linear inequalities. Give two ordered pairs that are solutions andtwo that are not solutions. (2 points)9.sy 3x + 3w<-286I422 46 8-8 -6 -4 -20-2
ANSWER :
Two ordered pairs (Solution) : (-4, -4) and (-3, -3)
Two ordered pairs (Not a solution) : (1, 1) and (2, 3)
EXPLANATION :
From the problem, we have :
[tex]\begin{gathered} y\ge3x+3 \\ y<-2 \end{gathered}[/tex]Note that the boundary line is dashed or broken if the inequality symbol is < or >.
Otherwise, the boundary line is a solid line.
Graph the first inequality :
Change the symbol to "="
[tex]y=3x+3[/tex]Solve for the x and y intercepts.
[tex]\begin{gathered} \text{ when x = 0 :} \\ y=3(0)+3=3 \\ \\ \text{ when y = 0 :} \\ 0=3x+3 \\ -3x=3 \\ x=-\frac{3}{3}=-1 \end{gathered}[/tex]Test the inequality at the origin (0, 0)
The region will pass through the origin if it satisfy the inequality.
[tex]\begin{gathered} y\ge3x+3 \\ 0\ge3(0)+3 \\ 0\ge3 \\ \text{ False!} \end{gathered}[/tex]Therefore, the region will NOT pass through the origin.
Plot the points (0, 3) and (-1, 0).
Connect it with a solid line.
The region will NOT pass the origin.
Graph the second inequality :
Change the symbol to "="
[tex]y=-2[/tex]Since y must be less than -2, the region is from y = -2 to the negative infinity.
Plot the point (0, -2) and draw a horizontal dashed line since the symbol is <.
That will be :
The solution to the inequality is the overlapping region.
Any point in the overlapping region is a solution.
Two ordered pairs solution are (-3, -3) and (-4, -4)
Two ordered pairs that are NOT a solution : (1, 1) and (2, 3)
look at picture! thank you!
Answer:
middle, last, first
Given the pre-image coordinates (0, 5), (-3, 2), (4, -1) and transformed image coordinates (2, -5), (-1, -2), (6, 1), what is the coordinate transformation in function notation?
Given:
The pre-image coordinates (0, 5), (-3, 2), (4, -1) and transformed image coordinates (2, -5), (-1, -2), (6, 1).
Required:
We need to find the transformation in function notation.
Explanation:
Let (x,y) be the pre-image coordinate and (x',y') be the transformed image coordinates.
The transformation is
[tex](x,y)\rightarrow(x^{\prime},y^{\prime}).[/tex]Consider the points (0,5) and (2,-5).
Substitute the values in the transformation.
[tex](0,5)\rightarrow(2,-5)[/tex][tex](0,5)\rightarrow(0+2,-(5))[/tex]Let x =0 and y =5, we get
[tex](x,y)\rightarrow(x+2,-y)[/tex]Consider the points (-3,2) and (-1,-2).
[tex](-3,2)\rightarrow(-1,-2)[/tex][tex]Use\text{ }-3+2=-1.[/tex][tex](-3,2)\rightarrow(-3+2,-(2))[/tex]Let x =-3 and y=2.
[tex](x,y)\rightarrow(x+2,-y)[/tex]Consider the points (4,-1) and (6,-1).
[tex](4,-1)\rightarrow(6,1)[/tex][tex]Use\text{ }4+2=6.[/tex][tex](4,-1)\rightarrow(4+1,-(1))[/tex][tex](x,y)\rightarrow(x+2,-y)[/tex][tex]f(x,y)=(x+2,-y)[/tex]Final answer:
[tex](x,y)\rightarrow(x+2,-y)[/tex][tex]f:(x,y)\rightarrow(x+2,-y)[/tex]kurtosis is a measure of multiple choice the normality of a distribution. how fat the tails of a distribution are.
The normality of a distribution as well as how fateful its tails are Kurtosis is a test for a distribution's normality that focuses on the size of the tails.
Kurtosis is a metric that indicates how heavy-tailed or light-tailed the data are in comparison to a normal distribution. In other words, data sets with a high kurtosis tend to have large outliers or heavy tails. Data sets with low kurtosis frequently lack outliers and have light tails. The worst-case scenario would be a uniform distribution.
Kurtosis is three and skewness is zero for the normal distribution. The test is based on how much the data's skewness deviates from zero and how far its kurtosis deviates from three. When the p-value is less than or equal to 0.05, the test rejects the normality hypothesis.
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Full Question :
Kurtosis is a measure of_____
a) how fat the tails of a distribution are
b) the downside risk of a distribution
c) the normality of a distribution
d) the dividend yield of the distribution
e) both how fate the tails of a distribution are and the normality of a distribution