After calling the parents, and explaining them the issue of smashed phone, they travelled at a speed of 2.223 m/s = 8.0028 km/hr
As per the question statement, we are given that we call our parents to explain our issue with having a smashed phone and your parents travel at 20000 meters in 2.5 hours. We are supposed to find out that how fast did the parents rush to get here. Basically we have to find their speed of travelling.
Before solving the question, we must be aware that what is speed.
[tex]speed = \frac{distance}{time}[/tex]
and distance and time should be in SI units.
Given distance = 20,000 meters
Given time = 2.5 hours
[tex]1 hour = 60 min\\2.5 hour = 2.5*60\\2.5 hour = 150 min[/tex]
[tex]1 min = 60 sec\\150 min = 150*60 sec\\150 min= 9000 sec[/tex]
Therefore given time = 9000 sec
Therefore speed = [tex]\frac{distance}{time} = \frac{20000}{9000}[/tex]
Speed= 2.223 m/sec
Hence they travelled at a speed of 2.223 meters per second
2.223 m/s = 8.0028 km/hr
Speed: The speed it the distance covered by an object or body or person per unit time or time taken by him/her to cover the given distance. SI Unit: [tex]m/sec[/tex]To learn more about speed, distance and time, click on the link given below:
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Consider y = - 8x
Complete the table for the equation.
X y
-1 ?
0 ?
1 ?
What is the geometric mean of 8 and 18 ?
A 9
B 10
C 11
D 12
The geometric mean of a and b [tex]=\sqrt{a*b}[/tex] then the geometric mean of 8 and 18 is 12.
What is geometric mean?In Mathematics, the Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values.
The geometric mean is used in finance to calculate average growth rates and is referred to as the compounded annual growth rate.
To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the result.
Geometric mean of a and b [tex]=\sqrt{a*b}[/tex]
Geometric mean of 8 and 18 [tex]$=\sqrt{8*18}[/tex]
a = 8 , b = 18
= √144
= 12
The geometric mean of 8 and 18 is 12.
Therefore, the correct answer is option D. 12.
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A company rents accessible bikes for people with physical disabilities. The scatter plot shows the relationship between the number of hours an accessible bike rented and the total amount paid at rental locations in different cities. Is the line y = 10x a good fit for the data? Use the drop -down menus to explain.
The Proportional relationship y = 10x is a good fit for the data.
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality,
i.e., y = kx
In which k is the constant of proportionality.
For this problem, foe each value of x, the output is 10 times that, hence the constant is k = 10 and the proportional relationship y = 10x is a good fit for the data.
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Answer:
The Proportional relationship y = 10x is a good fit for the data.
(-1/100) divided by (1/10)
Answer:
-0.1
Step-by-step explanation:
-1/100 = -0.01
1/10 = 0.1
-0.01/0.1 = -0.1
Read each question. Then write the letter of the correct answer on your paper.
What is the solution set of the equation (2 x-4)(x+6)=0 ?
(A) -4,6
(B) -4,6
(C) 2,-6
(D) -2,-6
The solution of the equation (2x - 4) (x + 6) = 0 is is x = {2, -6} (C)
The solutions of an equation means if we substitute these solutions into the variables of the equation, it will lead to the correct equality.
Suppose we have an equation in the form of:
(x - a) (x - b) = 0
This is called a factorization form. The equality will be true if either:
x - a = 0, orx - b = 0The given equation is:
(2x - 4) (x + 6) = 0
This equality will be correct if:
2x - 4 = 0
⇒ x = 2
or
x + 6 = 0
⇒ x = -6
Hence, the solution is x = {2, -6} (C)
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EASY POINTS WILL GIVE BRIANLIST TO BEST ANSWER
Slove then equation below and give the reasons for each step:
View photo
give the geometrical representation of y=3 as an equation in
a) one variable
b) in two variables.
The geometrical representation of y=3 as an equation in
a) one variable is y = 3
b) in two variables is 0x + y = 3.
How to illustrate the information?Based on the information illustrated, the geometrical representation of y=3 as an equation in one variable is y = 3.
Also, the geometrical representation of y=3 as an equation in two variables is:
y = 3.
0x + y = 3
0x + y - 3 = 0
Therefore, y = 3.
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Caylie's coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2
nickels were removed, the total value of the coins would be $3.40. Find the number of nickels and the
number of dimes in the bank.
There were 29 nickels and 10 dimes in the bank.
We know that:
1 dime = 5 cents
1 nickel = 10 cents.
Also, $ 3.40 = 340 cents
Let the number of nickels be n and the number of dimes be d.
Now, we are given that:
5 dimes and 2 nickels were taken away.
So, total coins = 46 - 2 - 5 = 46 - 7
Total coins = 39
We get the equation:
n + d = 39
d = 39 - n
Now, we also know that:
5 d + 10 n = 340
d + 2 n = 68
Put the value of d, we get that:
39 - n + 2 n = 68
n = 68 - 39
n = 29
d = 39 - n
d = 39 - 29
d = 10
Therefore, we get that, there were 29 nickels and 10 dimes in the bank.
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Write the equation in slope-intercept form. What are the slope and y -intercept?
a. 3 x+2 y=18
The equation in slope-intercept form is y = -3/2x + 9. Slope of the equation is - 3/2 and y - intercept is 9.
How do we find slope-intercept form?Calculate the slope (m).
Keep in mind that the slope is determined by dividing the change in y by the change in x. (rise over run).
Find the y-value of the y-intercept by solving (b).
In the formula y=mx+b, swap out m and b with their respective values.
The given equation is -
3x + 2y = 18
divide the equation by 2
3/2x + y = 9
Rearranging the equation -
y = -3/2x + 9
Comparing it with y = mx + c
so slope m = -3/2
and y - intercept = 9
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State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
The statement "angles 4 and 6 are alternate interior angles" is true
Given,
The statement " Angles 4 and 6 are alternate interior angles"
Here,
∠4 and ∠6 are lie opposite sides of the the transversal and both are nonadjacent interior angles .
So, ∠4 and ∠6 are alternate interior angles
Hence, the statement "angles 4 and 6 are alternate interior angles" is true.
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
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Evaluate each finite geometric series. 1/5 + 1/10 + 1/20 + 1/40 + 1/80
Evaluate each finite geometric series.
1/5 + 1/10 + 1/20 + 1/40 + 1/80=0.3875
What is the sum of a finite geometric series?
Given:
a=1/5
r=5/10 = 1/2
n=5
[tex]S_n=\frac{a(1-r^{n} )}{1-r} \\\\S_5=\frac{\frac{1}{5}(1-(\frac{1}{2}))^{5} }{1-\frac{1}{2} } \\\\S_5=\frac{1}{5} (\frac{31}{32} *\frac{2}{1}) \\\\S_5=\frac{1}{5} (\frac{31}{16} )\\\\S_5=0.3875[/tex]
What is a finite geometric series?
A geometric series is a series with a geometrically connected progression. A geometric series is a list of numbers where each number, or term, is found by multiplying the preceding term by a common ratio r. Because there are only a finite number of terms, we refer to this geometric series as a finite geometric series (an infinite geometric series continues on forever.)To learn more about finite geometric series, refer:
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A solid cylinder has a diameter of 8.4 cm and a height of 12.0 CM. Calculate the volume of a cylinder.
Answer:
Volume = 665 cm³
Step-by-step explanation:
We can calculate the volume of a cylinder using the following formula:
[tex]\boxed{\mathrm{Volume = \pi r^2 h}}[/tex],
where:
• r = radius of cylinder
• h = height of the cylinder
In the question, we are told that the diameter of the cylinder is 8.4 cm. Since the diameter is twice of radius:
[tex]\mathrm{radius = 8.4 \div 2}[/tex]
[tex]= \bf 4.2 \: cm}[/tex]
We are also told that the height of the cylinder is 12.0 cm. Therefore, using this information, as well as the formula above, we can find the volume of the cylinder:
[tex]{\mathrm{Volume = \pi \times (4.2 \mathrm{\: cm})^2 \times 12.0 \mathrm{\: cm}}}[/tex]
[tex]= \pi \times 17.64 \mathrm{\: cm^} \times 12.0 \mathrm{\: cm}[/tex]
[tex]\approx \bf 665 \: cm^3[/tex]
Therefore the volume of the cube is 665 cm³.
Use the Distance Formula to find the distance between the pair of points.
R(-2,3), S(3,15)
Using the distance formula, the distance between the pair of points R(-2,3) and S(3,15) is 13 units
Given,
The points = R(-2,3) and S(3,15)
We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2} -y_{1})^{2} }[/tex]
Substitute the values in the equation
The distance = [tex]\sqrt{(3--2)^{2}+(15-3)^{2} }[/tex]
[tex]=\sqrt{5^{2}+12^{2} }\\ =\sqrt{25+144}\\ =\sqrt{169}[/tex]
=13 units
Hence, using the distance formula, the distance between the pair of points R(-2,3) and S(3,15) is 13 units
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Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
The possibility of the outcomes of third coin turn up a head is 2⁹.
Probability:
Probability is the calculated by dividing the favorable outcome by the total number of outcomes.
Given,
Ten coins are tossed simultaneously.
Here we need to find the how many of the outcomes will the third coin turn up a head.
Here we know that,
The third coin must be a head.
So, that means the rest of the coins can be heads or tails.
Therefore, possibility of these can be written as,
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹
different outcomes for the rest of the coins.
Which means the rest of the coins can be either head or tail but the third one is head.
Therefore, the possibility of getting third coin as head is 2⁹.
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David requires at least $250 to hold his birthday party. If David can save $43 a month, how many months will he need to save to be able to afford his birthday party?
a. Write an inequality that describes this situation.
b. Solve the inequality. Show all your work.
c. Write your answer in a complete sentence.
Answer:
b. Solve the inequality. Show all your work.
Step-by-step explanation:
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.
What is her straight-time pay for a week in which she worked
22 hours?
The payment she gets after 22 hours of working is $187.
According to the statement
We have to find that the total amount she earned.
So, For this purpose, we know that the
Straight-time pay is the total amount of money you earn in a given pay period.
From the given information:
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?
Then
The amount she get as a rate per hour = $8.50
And
The time for which she works = 22 hours
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Now multiply these to get the answer
Pay she get after the work of the 22 hours = $187
So, The payment she gets after 22 hours of working is $187.
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The length of a rectangle is 5 cm more than the width. The perimeter is 38 cm. Find the length.
Answer:
length=12
width=7
Step-by-step explanation:
I tried random numbers like 6+6+11+11 then tried another one 8+8+13+13. After that I found out the pattern and worked out the answer
URGENTTT
how do u do this?
Answer:
i didn't understand please write it in a clearer way so I can help
Answer: given clear information about the question
Step-by-step explanation:
What I can advise is, Please look for the "X or Y" carefully, work on it step by step!!
Please help with problem 26, part a b and c, in the attachment, also part c is not shown. But it asks how many total students are in the school.
Answer:
a. 3/5
b. 270 girls
c 450 students.
3 450 13350
_ x ___ = ______ = 270 =270 girls
5 1 5
round 2,874.2878 to two decimal places
Answer: If your rounding to the second spot after the decimal it would be in the hundredths place so in case it would be 2874.29 Although I'm not sure if that's how you wanted it to be done.
Round the number 2,874.2878 to two decimal places will be 2,874.29.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The decimal number is given below.
⇒ 2,874.2878
Round 2,874.2878 to two decimal places.
If the third place after the decimal is more than 5, then the second place after the decimal will be increased by one.
In the third place after the decimal is 7, then the number 8 is increased by one that is 9.
Round the number 2,874.2878 to two decimal places will be 2,874.29.
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Can someone please help. I need to know which of the following is not true.
Answer:
A
Step-by-step explanation:
The line travels through the plane and its intersection point is labeled C
In a plane, prove that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. (Theorem 3.4 )
If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
We know that when a transversal cuts two parallel lines, then the corresponding angles are equal.
We know that parallel lines never intersect each other. When a third line is perpendicular to one of the parallel lines, then the third line must be perpendicular to another line as well.
To prove if AD is perpendicular to MN, it is also perpendicular to OP
ABN=90o
( Since AD is perpendicular to MN)
BCP=ABN=90o
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Please help
let f(x)=-4x^3+9x^2-5x+132
Is x-1 a factor of f(x)
Is x+1 a factor of f(x)
Is x-4 a factor of f(x)
Answer:
x-4 IS a factor
Step-by-step explanation:
IF x-1 is a factor then putting x = 1 into the equation will make it = zero...... it does not
IF x+1 is a factor then putting x = -1 into the equation will result in = 0
it does not
IF x -4 is a factor , then puting in x =4 into tthe equation will = 0 it DOES !
Need help asap please
Answer:
2) y= 4x+17
Step-by-step explanation:
y- y1 = m(x- x1)
y- 5 = 4 (x - (-3))
y-5= 4( x+ 3)
y-5= 4x+ 12
y= 4x+17
On a typical work day, the bowling ball juggler
spends ¹/2 of his time stretching his fingers and
¹/5 of his time nursing his smashed toes. If the
juggler spends a total of 7 hours on these two
activities, how many hours does he typically
work each day?
He typically work each day for 10 hours.
According to the question, the expression can be written as:
The time taken to stretch the fingers = (1/2)t
Similarly, the time taken to smashed toes = (1/5)t
Total time = 7 hours
Now, the final expression can be written as:
(1/2)t + (1/5)t = (7)
(7/10)t = 7
t = 10 hours
Hence, he typically work each day for 10 hours.
What is time and work?
The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.
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Write a polynomial function V to represent the volume of a round bale with the given dimensions
The polynomial function V to represent the volume of a round bale is V(x) = π(x + 5)²(x + 8).
What is Polynomial Function ?A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Let the dimensions of round bale is x+5 feet radius and 3 feet wide.
As we know that round bale is a shape of cylinder in which we will consider wide instead of height.
Volume of Round Bale (V) = πr²w
V = πr²w = π(x + 5)²[(x + 5) + 3]
V(x) = π(x + 5)²(x + 8)
Hence, we got the polynomial function that represent the volume of round bale is V(x) = π(x + 5)²(x + 8).
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The scale from an actual triangle to the drawing at the right is 30:1. The scale from the same triangle to Jorge’s drawing of the triangle is 10:1. Is this drawing or Jorge’s drawing larger
Jorge's drawing of the triangle is greater than the first drawing.
How to analyze and interpret scales
Scales are ratios between two lengths, herein we find an example of scales, defined as ratios of real length to reduced length from drawings. In a nutshell, we have a case of augmentation scales. Mathematically speaking, each scale is represented by the corresponding formulas:
x / y = 30 (1)
x / z = 10 (2)
By (1) and (2) we find the relationship between the two lengths of the two drawings:
30 · y = 10 · z
z = 3 · y
Jorge's drawing of the triangle is greater than the first drawing.
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Divide.
−0.0468÷0.002
What is the quotient?
Enter your answer in the box.
Answer:
-23.4
Step-by-step explanation:
-0.0468 ÷ 0.002 = -23.4 (A negative divided by a negative is a positive!)
Hope this Helps! :)
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-SGO
Given f(x)=2x2+4, find the value of f(−1)
The value of f(-1) according to the function f(x) given is; 6.
What is the value of f(-1) according to f(x) given?It follows from the task content that the function, f(x) = 2x² + 4.
On this note, to evaluate the value of f(-1), we must substitute -1 for x in the function given as follows;
f(-1) = 2(-1)² + 4
f(-1) = (2×1) +4
f(-1) = 6.
Ultimately, f(-1) = 6.
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The number m divided by the sum of z and u
Answer:
m
------- <------ fraction bar means divide too
z + u
Hope this helps :)