Answer:
The average speed of car is 67 kilometers per hour.
Step-by-step explanation:
Given that:
Distance travelled in one hour = 45 km
Distance travelled in next 2 hours = 78*2 = 156 km
Total distance = 45+156 = 201
Total time = 1+2 = 3 hours
Average speed of the car = \(\frac{Total\ distance}{Total\ time}\)
Average speed of the car = \(\frac{201}{3}\)
Average speed of the car = 67 km/hr
Hence,
The average speed of car is 67 kilometers per hour.
Find the slope of the line that passes through (2,2) and (9,10)
Answer: you just take the first set of points and subtract the second from it.
Step-by-step explanation: 2-9=-7 and 2-10=-8
the new set would be (-7,-8) hope this helps
the word multiply contains the root multi. what does the root multi mean?
Answer:many
Step-by-step explanation:manymulti- a combining form meaning “many,” “much,” “multiple,” “many times,” “more than one,” “more than two,” “composed of many like parts,” “in many respects,” used in the formation of compound words: multiply; multivitamin.
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter, and its width from left to right is 20 meters.
If the telescope is 1 m deep and 20 m wide, how far is the focus from the vertex?
The height of the telescope of 1 meter and width of 20 meters gives a distance of the focus from the vertex of 25 meters.
Which method can be used to find the distance between the focus and vertex?Given that the vertex is at the origin, we have;
(h, k) = (0, 0)
The equation of a parabola is presented as follows;
(x - h)² = 4•p•(y - k)
x² = 4•p•y
When x = 10, y = 1
Therefore;
p = 10² ÷ 4 = 25
The focus of the parabola = (h, k + p)
Which gives;
The focus of the parabola = (0, 0 + 25) = (0, 25)
The distance of the focus from the vertex is therefore;
d = 25 - 0 = 25The distance of the focus from the vertex is 25 metersLearn more about the parts of a parabola here:
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50 points if you answer first
I am answering first so thank you very much.
Write a ratio for the following situation.
For every one year, there are twelve months.
an hr director numbered employees 1 through 50 for an extra vacation day contest. what is the probability that the hr director will select an employee who is not a multiple of 13? give your answer as a fraction. reduce the fraction if necessary.
0.94 is the probability that the HR director will select an employee who is not a multiple of 13.
The probability that the HR director will select an employee who is not a multiple of 13 is the number of employees who are not multiples of 13 divided by the total number of employees.
There are 50 employees in total, and there are 50/13 = 3 employees who are multiples of 13.
So the number of employees who are not multiples of 13 is 50 - 3 = 47.
Thus, the probability that the HR director will select an employee who is not a multiple of 13 is 47/50.
Simplifying this fraction, we find that the answer is 47/50 = 94/100 i.e. 0.94 is the probability that the HR director will select an employee who is not a multiple of 13.
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How do you solve? Show your work.
-14 - 6x = x + 7
Answer:
−
6
−
1
4
=
+
7
-6x-14=x+7
−6x−14=x+7
−
6
−
1
4
+
1
4
=
+
7
+
1
4
Add the numbers
Add the numbers
again
−
6
=
+
2
1
Subtract
x
x
from both sides of the equation
−
6
=
+
2
1
-6x=x+21
−6x=x+21
−
6
−
=
+
2
1
−
Simplify
Combine like terms
Combine like terms
again
−
7
=
2
1 the answer is=3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-14-6x=x+7
-14-6x+14=x+7+14
-6x=x+21
-6x-x=x+21-x
-7x=21
\frac{-7x}{-7}=\frac{21}{-7}
x=-3
What is the solution of sqrtx + 2 - 15 = -3?
sing-chi chow has a single plan. the ppo annual premium is $12,436
the employer pays 85% of the cost. (a) how much does sing-chi pay
-
annually? (b) how much is deducted from his weekly paycheck?
e
If the ppo annual premium is $12,436 the amount that sing-chi pay is $1,865.40 and the amount deducted from his weekly paycheck is $35.87.
Annual premiuma. Payment
Using this formula
Payment=Annual premium×(1-rate)
Let plug in the formula
Payment=$12,436×(1-0.85)
Payment=$12,436×0.15
Payment=$1,865.40
2. Weekly paycheck deduction:
Weekly paycheck deduction=Payment ÷Numbers of week in a year
Weekly paycheck deduction=$1,865.40/52 weeks
Weekly paycheck deduction=$35.87
Inconclusion the amount that sing-chi pay is $1,865.40 and the amount deducted from his weekly paycheck is $35.87.
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10. A square pyramid is shown. The height of the pyramid is 14 centimeters. The area of the base of the square pyramid, B, is 64 square centimeters. 8 64 cm Which measurement is closest to the volume of the pyramid in cubic centimeters? F 900 cm G 450 cm M 300 cm ) 150 cm
ANSWER
The closest measurement is 300cm³
EXPLANATION
The volume of a pyramid is:
\(V=\frac{1}{3}Bh\)where B is the ares of the base and h is the height.
In this problem, B = 64cm² and h = 14cm. The volume is:
\(V=\frac{1}{3}\cdot64\operatorname{cm}^2\cdot14\operatorname{cm}=298.\bar{6}cm^3\)The one that's closest is 300cm³
TRUE OR FALSE
becomes zero for x
Answer:
True
Step-by-step explanation:
In plane ABC the measure of angle A equals 42° the measure of angle B is five times the measure of angle C find the measure of angle B and the measure of angle C.
Step-by-step explanation:
I think what is meant in the triangle ABC we have the three angles.
the sum of all angles in a triangle is airways 180 degrees.
so,
180 = A + B + C
180 = 42 + B + C
now, we know also that
B = 5×C
so, we can use that above
180 = 42 + 5×C + C
138 = 6×C
C = 138/6 = 23 degrees
B = 5×C = 5×23 = 115 degrees
Does a function need to have a constant of
proportionality? Explain.
Answer:
A function is proportional when the output is equal to the input multiplied by a constant. The number of tires is equal to the number of cars times 4. If there are no cars in the parking lot, then the number of tires is 4 times 0, or 0.
Step-by-step explanation:
(DONT JUST ANSWER FOR POINTS!!) A French toast recipe calls for 3/4 cup milk per beaten egg. An equivalent ratio to this rate is ___ cups milk for every ___ beaten eggs.
(choices)
4
3
Answer:
3,4
Step-by-step explanation:
The first blanck answer is 3 because 3/4 is also known as .75 as a decimal and if you do 3 divided by .75 you get 4 meaning 4 is your second black answer
Hope this Helped!!!
Answer:
French toast recipe calls for 3/4 cup milk per beaten egg. An equivalent ratio to this rate is 3 cups milk for every 4 beaten eggs.
Step-by-step explanation:
hope it helps brainliest would also be appreaciated
Another name for the natural number is____.
A. The whole numbers
B. The counting numbers
C. The integers
D. The rational numbers
Answer:
counting numbers is another name
A local children's author donated 1,055 books to
Homestead Elementary School. The school librarian
will distribute an equal number of books to each of
the 33 classes, and keep any that are left over in
the library. How many books will each class get?
Answer:
31 books
Step-by-step explanation:
1,055 ÷ 33 = 31.96
31 books
A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square with sides of length 2000. What is the length of each side of the octagon
A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square. To find the length of the side of the octagon, we can use the Pythagorean theorem to calculate the length of the hypotenuse of the isosceles right triangle.
In an isosceles right triangle, the two legs have the same length and the hypotenuse is the side opposite the right angle. Since the square has sides of length 2000, half of the side of the square is the leg of the isosceles right triangle.
So the leg of the isosceles right triangle is 2000/2 = 1000.
Applying the Pythagorean theorem to find the hypotenuse of the isosceles right triangle:
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
c = sqrt(1000^2 + 1000^2)
c = sqrt(1000000)
c = 1000*sqrt(2)
So the length of each side of the octagon is 1000sqrt(2)
You earn $100 per month and want to save 10% in a savings account.
How much will your monthly contribution be? (Do not include the $ sign in your
response) PLEASE HELPP
pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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aops three circles of radius 12 lie in a plane such that each passes through the center of the other two. find the area common to all three circles
The area common to all three circles is 24π - (54 - 18√3) or approximately 15.2.
Consider three circles of radius 12 with centers A, B, and C such that each circle passes through the centers of the other two. Let O be the center of the region of intersection of the three circles. We need to find the area of the region that is common to all three circles.
Let the points where the circles intersect be D, E, and F. Then triangle ABC is equilateral with side length 24. Let the distance between O and the center of any of the circles, say A, be x. Then x = 12 cos 30° = 6√3. Since triangle AOD is a 30-60-90 triangle, OD = 12 - x = 6(2 - √3). Therefore, the area common to all three circles is the area of sector AOD of circle A minus the area of triangle AOD:
Area of sector AOD = (1/6)π(12)^2 = 24π
Area of triangle AOD = (1/2)(6√3)(6(2 - √3)) = 54 - 18√3
Therefore, the area common to all three circles is 24π - (54 - 18√3) or approximately 15.2.
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each unit in the coordinate plane represents 1 foot. find the width of the sculpture at a height of 2 feet. (round your answer to three decimal places.)
The width of the sculpture at a height of 2 feet is 2 feet (rounded to three decimal places).
First, let's plot the points on the coordinate plane. We will have two points: Point A and Point B. The x-coordinate of both points will be the same as we are only interested in the width of the sculpture at a height of 2 feet. The y-coordinate of Point A will be 0 feet (as the sculpture is resting on the ground) and the y-coordinate of Point B will be 4 feet (as the height of the sculpture is 6 feet).Let the x-coordinate of Point A and Point B be x feet. So, the coordinates of Point A will be (x, 0) and the coordinates of Point B will be (x, 4). The length of the sculpture will be the distance between Point A and Point B, which is equal to 6 feet.Using the distance formula, the length of the sculpture (between Point A and Point B) can be expressed as:\[\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]Substituting the values of the coordinates of Point A and Point B in the distance formula, we get:\[\sqrt{(x - x)^2 + (4 - 0)^2}\]Simplifying, we get:\[\sqrt{0 + 16} = 4\]
Now, to find the width of the sculpture at a height of 2 feet, we need to find the distance between the points (x, 2) and (x, 4).Using the distance formula, we get:\[\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]Substituting the values of the coordinates of the points, we get:\[\sqrt{(x - x)^2 + (4 - 2)^2}\]Simplifying, we get:\[\sqrt{0 + 4} = 2\]Therefore, the width of the sculpture at a height of 2 feet is 2 feet (rounded to three decimal places).
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pls help me i’ll give brainliest
Answer:
25/0 aka infinity
Step-by-step explanation:
Equation used:
(y2-y1)/(x2-x1)
1. Plug in the values to get (27-2)/(9-9)
2. Simplify to get 25/0
3. This results in an infinity
if the average correlation among the items on an anxiety scale is r = .95, we can say that the scale has
Answer:
a strong and almost perfect positive linear correlation.
Sue has 200 m&m's. She plans on eating half of what she has each day. How many
candies will she have on the fourth day?
Answer:
She will have 50 left
Step-by-step explanation:
200 / 4 = 50
A nearby skating park charges $4 for skates and an hourly rate for each hour.
The sign on the right gives the prices for up to 3 hours of skating. Which linear
equation represents the given information where C is the total cost and h is the
number of hours spent in the park?
1 hour
2 hours
3 hours
$15
$30
$45
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.
A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable.
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
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From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground? Five-halves ft StartFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft 5 StartRoot 3 EndRoot 10.
The height of the gymnastic mats is \(\dfrac{5 \times \sqrt{3}}{3}\) feet.
Tangent (Tan θ)The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Given to usA right triangle with other angles measuring 60° and 30°.The gymnastics mat extends 5 feet across the floor.SolutionAs we can see in the below image the gymnastic mats are making the base of the right-angled triangle, therefore,
\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)
\(Tan (\angle ACB) = \dfrac{Height}{BC}\)
\(Tan (30^o) = \dfrac{Height}{5\ feet}\)
\(\dfrac{1}{\sqrt{3}} = \dfrac{Height}{5\ feet}\\\\\dfrac{1 \times 5}{\sqrt{3}} = Height\\\\Height = \dfrac{5}{\sqrt{3}}\)
Multiplying √3 with both denominator and numerator,
\(Height = \dfrac{5 \times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}\\\\Height = \dfrac{5 \times \sqrt{3}}{3}\)
Hence, the height of the gymnastic mats is \(\dfrac{5 \times \sqrt{3}}{3}\) feet.
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Answer: B
startFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft.
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
ford would be 250 in metres and the decimal would be the smallest
jerry, Simon, curst, carl, ford
hector received three a's and one b in his college courses. what is his grade point average?assume each course is three credits. a
The grade point average received by hector is 3.75.
What is GPA?Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.
The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.
3 a and one is B received by Hector.
The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college
We have GPA= A+A+A+B/4
GPA=4+4+4+3/4
GPA= 15/4
GPA=3.75
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Complete question
Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0
I accidentally clicked the top answer which one is correct?! Please let me know!! Thank you!
Answer: B:
Step-by-step explanation: 7*6/7+4*6=30
42/7|4*6 also=30
Answer:
the first answer
Step-by-step explanation:
What is the following expression?
12-3×(8-5)
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