A conductor is mapping a trip and records the distance the train travels over certain time intervals. The train travels at a constant speed. What is its speed?
Answer:
Speed = 25miles per hour
Step-by-step explanation:
Represent the time with x and the distance with y
So, from the attachment; we have the following details:
[tex](x_1,y_1) = (0.5,12.5)[/tex]
[tex](x_2,y_2) = (1,25)[/tex]
[tex](x_3,y_3) = (1.5,37.5)[/tex]
Required
Determine the constant speed
Because the train travelled at a constant speed, the speed can be calculated using:
[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]
[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]
[tex]Speed = 25=25=25[/tex]
Notice that the result of each division is the same.
Hence, the constant speed is:
Speed = 25miles per hour
Please help me circles.....
Answer:
95
Step-by-step explanation:
The equation is
x×2=285-x
3x=285
x=95
Answer:
x = 75°
Step-by-step explanation:
There are many Circle Geometry Rules. We will be using the following:
The angle at the centre of the circle is twice the angle at the circumference.
x = the angle opposite 285 - x.
This means that 360 - (285 - x) = 2x
360 - 285 + x = 2x
75 + x = 2x
We can simplify this by taking away x from both sides.
75 = x
We can check this by substituting x into the orginal equation.
360 - (285 - x) = 2x
360 - (285 - 75) = 2 * 75
360 - 210 = 2 * 75
150 = 2*75
150 = 150
Need help please thanks
Answer:
Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!
Step-by-step explanation:
Hope I helped! :)
Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive
Answer: Dried apricots are less expensive they are $8.75
Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive
This hurts my brain cells help me
8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form
Answer:
60%
Step-by-step explanation:
add them all to 20
add 7 and 5 to get 12
12 over 20 is 60 percent
On 12/1/2020 a total of 14,108,603 people in the US have tested positive for the Coronavirus-19 (CV-19). If the daily rate of increase stays at 1.2% (as has been for the past 30 days), how many people would be expected to have tested positive by 12/31/2020 (n=30 days later)? Compounding is continuous.
a. 20,222,275
b. 516, 349. 960
c. 14, 625,765
d. 28,985,182
Please ANSWER ASAP!!!
Answer:
C
Step-by-step explanation:
Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back
Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there per teacher?
A. 18 students per teacher
B. 22 students per teacher
C. 24 students per teacher
D. 16 students per teacher
An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.
Answer:
800 > x + 375
x < 425
Step-by-step explanation:
800 > x + 375
425 > x
Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
find the exact perimeter of square whose side length is 5∛16 cm
Answer:
P = 50.39 cm
Step-by-step explanation:
It is given that,
The side of a square, a = 5∛16 cm
We need to find the perimeter of the square.
Perimeter = sum of all sides.
All sides of a square are equal. Its perimeter is given by :
P = 4a
[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]
So, the exact perimeter of the square is 50.39 cm.
what are the x and y intercepts of the function??
Answer:
first one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x-intercept is (-4,0)
y-intercept is (0,-3)
What is the image of the point (2,3) after the transformation Ry-axis?
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
find the sum:
13,16,19,...301
thanks!
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
Charles a shirt that was originally priced $13 he received a $2.60 discount what percent discount did Charles receive
Answer: I Believe 15%, But I'd Double Check.
i need an opinion, my other note is in anouther question. what do y'all think.
Dear Chelsea
I'm tierd of you scraching me
I mean I love you can't you see
You may not see it but your rude to Sue
you tell me a secret like the one about you know who
Do you like to hurt Sue and me
Dose it make very you happy
I'm done with all the disrespect
I always helped you last I checked
I'm always there for you
I have fun doing all the things we do
I love you like my own child
Evan though you're a little wild
Your pretty and strong
Your hair is not so long
But what do I care
I mean it's your hair
I geuss what I'm trying to say
Is that no matter what you do ill still love you anyway
You are my little cousin more like a sister
And I hope to be there when you get your mister
I may not always be there
But I want you to know I still care
So as I look up at the sky
I write this not to say goodbye
Answer:
good job its very good
Step-by-step explanation:
What value of x is in the solution set of 2(3x – 1) > 4x – 6?
It could only be the following :
A. -10
B. -5
C. -1
D. -3
Answer:
-1
Step-by-step explanation:
Given the equation :
2(3x – 1) > 4x – 6
Open the bracket :
6x - 2 > 4x - 6
Collect like terms
6x - 4x > - 6 + 2
2x > - 4
Divide both sides by 2
2x /2 > - 4/2
x > - 2
Since x > - 2
-10, - 5, - 3 are all < - 2
Hence, the only option greater than - 2 is - 1
Somebody Please solve this question without using L Hospital rule.
Evaluate if:
Answer:
1/2
Step-by-step explanation:
Given that,
[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]
Using L Hospital's rule to find it :
[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]
We have,
a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]
[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]
[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]
From equation (1) and (2) :
[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]
So, the value of the given function is 1/2.
A contractor purchases 5 dozen pairs of padded work gloves for $67.20. She incorrectly calculates the unit price as $13.44 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
13.44
Step-by-step explanation:
she is right...........
Answer:
The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).
Step-by-step explanation:
The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20
Answer:
x=-2, 2.
Step-by-step explanation:
5x^2-20=0
factor out the 5
5(x^2-4)=0
5(x+2)(x-2)=0
(x+2)(x-2)=0/5
(x+2)(x-2)=0
x+2=0, x-2=0
x=0-2=-2,
x=0+2=2.
Solve the system.
-2x + 1/2y
= 3/2
x - зу
= 2
Find the value of 'x'.
Answer:
x = -1
Step-by-step explanation:
i multiplied the first equation by 2 to eliminate the fractions and got:
-4x + y = 3
used substitution method: y = 3 + 4x
x - 3(3 + 4x) = 2
x - 9 -12x = 2
-11x = 11
x = -1
Whose puppy weighed the most when the person got it? How much did it weigh? Part c
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right
Pls help
Identify the domain of the function shown in the graph.
A. -7
B. x<0
C. x is all real numbers.
D. Y=15
Answer:
B.x<0 cs u useing easy steps
Temperature at 8AM was -8°. The temperature at 8 PM is 3º.
What is the change in temperature from 8 AM to 8 PM?
Answer:
11
Step-by-step explanation:
A study showed that the ratio of the number of people who get their news from social media to the number of people who get their news from other sources is 3:7. Based on this ratio, how many people in a town of 900 get their news from social media? *
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time
Answer:
B. 1/3
Step-by-step explanation:
The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...
2 / 6 = x
If we simplify it would give us [tex]\frac{1}{3}[/tex]
Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86
Answer:
x - 10y = -59
(+)-4x + 10y = 86
-3x = 27
x = -9
substitute x into x - 10y = -59
-9 -10y = -59
-10y = -50
y = 5
What is the sign of \dfrac bc c b start fraction, b, divided by, c, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A Positive (Choice B) B Negative (Choice C) C Zero
Answer:
A Positive
Step-by-step explanation:
If we input the fraction given to us by using the text editor, we have:
\dfrac{b}{c}
OUTPUT:
[tex]\dfrac{b}{c}[/tex]
The sign before that fraction term is known as positive.
Answer:
a. postive
Step-by-step explanation: