Answer:
3 hoursStep-by-step explanation:
When moving in opposite directions from the same point the speeds add up.
Total speed:
60 + 40 = 100 km/h
Distance is 300 km, find the time.
time = distance / speedt = 300/100t = 3 hoursAnswer:
Time = 3 hours
Step-by-step explanation:
The total speed is,
→ 40 km/h + 60 km/h
→ 100 km/h
Formula we use,
→ v = d/t
Then the time taken will be,
→ v = d/t
→ 100 = 300/t
→ 100 × t = 300
→ t = 300/100
→ [ t = 3 ]
Hence, answer is 3 hours.
find finish homework soon as possible
Sale tax rate = 6.85%
To calculate the sale tax on a $14,000 Car, multiply 14,000 by the sale tax rate in decimal form ( divided by 100)
14,000 x (6.85/100) = 14,000 x 0.0685= $959
To find the final cost, add the sale tax amount to the price:
14,000 + 959 = $14,959
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
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.
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
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]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
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
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.
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
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.
What is the answer???
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.
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.
A mandatory competency test for high school sophomores has a normal distribution with a mean of 553 and a standard deviation of 90. The top 3% of students receive a $500 prize. What is the minimum (cutoff) score you would need to receive this award?
Answer:
The minimum (cut off) score you need to receive this award is;
[tex]722.2[/tex]Explanation:
Given that the top 3% of the students receive a $500 prize.
[tex]P=1-0.03=0.97[/tex]We will then find the z-score that corresponds to the given probability.
[tex]z=1.88[/tex]Recall that;
[tex]z=\frac{X-\mu}{\sigma}[/tex]Given;
[tex]\begin{gathered} \mu=553 \\ \sigma=90 \end{gathered}[/tex]substituting the values;
[tex]\begin{gathered} 1.88=\frac{X-553}{90} \\ X-553=1.88\times90 \\ X=553+1.88\times90 \\ X=722.2 \end{gathered}[/tex]Therefore, the minimum (cut off) score you need to receive this award is;
[tex]722.2[/tex]
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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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
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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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:
What is y=6/5 x+9 written in standard form
Answer:
6/5x -y = -9
Step-by-step explanation:
The standard form is ax + by =c so you would have to use the properties of equality to solve.
Given : y = 6/5x+9
Subtract -9 from both sides: 6/5x = y-9
Subtract y from both sides: 6/5x -y = -9
(4x + 2)(6x^2 - z + 2)
Answer:
24x^3 - 4xz + 12x^2 -2z + 8x + 4
Step-by-step explanation:
We just need to simplify the equation
i have to solve for ABC n round to nearest whole number
Answer:
90degrees
Explanation:
The sum of interior angle of a triangle si 180degrees
Hence, 7x-1 + 4x+1 + 3x - 2 = 180
Collect the like terms;
7x+4x+3x-1+1-2 = 180
14x - 2 = 180
14x = 180+2
14x = 182
x = 182/14
x = 13
Get m
From the triangle;
mSubstitute x = 13 into the expression
mmm
Hence the measure of m
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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(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)
What is 10 × 1/2 ? All the answers I see are confusing!!
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]You want to take a bus to go visit your friend in a different city. The distance between two cities is 200 kilometers and the bus drives 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city, which of the following equations represents the hours, h, the bus has travelled?
The required equation will be 200-80h=20 as the statement says, "You want to take a bus to go visit your friend in a different city. The distance between two cities is 200 kilometers and the bus drives 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city".
What is equation?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation. Equations can be classified into three types based on their degree:
The linear equationQuadratic formulaThe cubic equationHere,
The distance between two cities=200 KM
The speed of bus=80 KM/hour
Time travelled=h hours
The distance travelled by bus=80h
The difference between distance=20
200-80h=20
As stated in the statement, the required equation is 200-80h=20 "You want to take the bus to see a friend in another city. The distance between the two cities is 200 kilometers, and the bus travels at an average speed of 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city".
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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]help fast!!!!!!! i need help
........
Step-by-step explanation:
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]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