Answer:
The distance at which the timekeeper is the race car at the start is 50 feet.
Step-by-step explanation:
You know that the car's distance from the timekeeper is represented by
y=293*x +50
where x is time in seconds and y is distance in feet from the timekeeper's position.
You want to determine how far the timekeeper is from the race car at the start. That is, the distance the timekeeper is from the car when the time is equal to zero. This indicates that x = 0. Replacing x by that value in the expression of the distance of the car from the timekeeper as a function of time and solving:
y=293*0 +50
you get:
y=50
The distance at which the timekeeper is the race car at the start is 50 feet.
The distance from the timekeeper to the race car at the beginning is 50 feet.
Let the time be x.Let the distance be y.Given the following data:
[tex]y=293x+50[/tex]Time = 0 seconds (at the beginning).To calculate how many feet (distance) from the timekeeper is the race car at the beginning:
You should note that, the time of the race at the beginning would be equal to zero (0) seconds.
Hence, the start time is equal to zero (0) seconds.
Substituting the value of x into the eqn, we have:
[tex]y=293(0)+50\\\\y=50[/tex]
Distance = 50 feet.
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Why is it difficult to identify the slope of the line `6x-2y=12`?
Answer:
Prolly cause it's not in slope intercept form.
Step-by-step explanation:
To make the equation into slope-intercept form, first subtract 6x from both sides.
-2y = -6x + 12
Divide everything by -2.
y = 3x - 6
There is your slope-intercept equation. -6 is the y-intercept and 3 is the positive slope.
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Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2 hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?
BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!!!!
Answer:
A=-10x,B=-4
Step-by-step explanation:
-5x*2=-10x
-2*2=-4
A survey of Ghasi's customers showed that 1,200 of the customers buying yarn would buy bamboo yarn. In the first month, 725 customers actually bought bamboo yarn. What was the percent error in the survey estimate of the number of people buying bamboo yarn? Round to the nearest tenth.
Answer:
40%Step-by-step explanation:
Step one:
given data
expected customers= 1200
actual customers= 725
the percent error= (actual-expected)/expected
substituting the given values we have'
%error=725-1200/1200
%error=475/1200
%error=0.395
To the nearest tenth we have 0.4
%error=0.4*100
%error=40%
Hence the percent error is 40%
Answer:
40%
Step-by-step explanation:
Please guys help!!!!
Answer:
There are 4 people in Table A.
Step-by-step explanation:
Let the number of people at Table A be x and the number of people in Table B be x + 2.
[tex]\frac{72}{x}[/tex] = [tex]\frac{108}{x+2}[/tex]
72(x+2) = 108x
72x + 144 = 108x
144 = 108x - 72x
36x = 144
x = 144 ÷ 36
x = 4
please help me with this
Answer:
D. [tex] Cos(Z) = \frac{5}{13} [/tex]
Step-by-step explanation:
Using trigonometric ratios formula, thus:
[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = Z
Adjacent = 10
Hypotenuse = 26
Plug in the values into the formula
[tex] Cos(Z) = \frac{10}{26} [/tex]
Simplify
[tex] Cos(Z) = \frac{5}{13} [/tex]
please, brailiest, thanks, five star
Answer:
is there a question?
Step-by-step explanation:
If F ( x ) = 2 x - 1, find the zero of F -1( x ).
A) -1
B) 1/2
C) 1
Answer:
A.
Step-by-step explanation:
Two common envelope sizes are 3 1/2 in. x 6 1/2 in. and 4 in. x 9 1/2 in.
Are these envelopes similar? Explain.
*Using Similar Figures*
WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 30th term 28, 25, 22, 19, ... (show your work pls)
Answer:
[tex] a_n = 31 - 3n\\\\
a_{30}= 59[/tex]
Step-by-step explanation:
Given Arithmetic sequence is:
28, 25, 22, 19, ...
a = 28, d = 25 - 28 = - 3,
nth term of an Arithmetic sequence is given as:
[tex] a_n = a + (n - 1) d\\[/tex]
Plugging a = 28 & d = - 3 in the above equation, we find:
[tex] a_n = 28 + (n - 1) (-3)\\\\
a_n = 28 - 3n +3\\\\
\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\
Plug \: n = 30, \: we \: find:\\\\
a_{30}= 31 - 3 \times 30\\\\
a_{30}= 31 - 90\\\\
\huge\orange {\boxed {a_{30}= 59}} \\\\
[/tex]
There are two solid hemispherical objects made of clay having the same shape and size. If the total surface area of one hemispherical object is 462 square cm, find the total surface area of the sphere which is formed by attaching those two hemispherical objects.
The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,
The total surface area of the hemisphere = 3πr²
462 cm² = 3πr²
r² = 462/(3π) cm²
r² = 49.0197 cm²
r = 7 cm
Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,
Therefore, we can write,
Total surface area = 4πr²
= 4 × π × (7 cm)²
= 615.75216 cm²
Hence, the total surface area of the formed figure is 615.75216 cm².
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Help me please i will mark as brainliest
Answer:
2n-7=3n-3
Step-by-step explanation:
2n-7=3n-3
There are 2 n variable tiles and 7 -1 tiles for the first and 3 n variable tiles and 3 -1 tiles for the seconds.
ABC and XYZ are similar. Find the missing side length.
Answer:
56
Step-by-step explanation:
The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.
[tex]let \: \: ? = x[/tex]
[tex] \frac{7}{49} = \frac{8}{x} [/tex]
Now we solve with cross multiplication
[tex]7 x = 392 \\ x = 56[/tex]
Now we know the mystery number is 56
25 + 5w -1 0 + w
PLZ help me (i pomise i will mark brainliest)
Answer:
[tex]6w+15[/tex]
Answer:
6w+15
Step-by-step explanation:
You just simplify the expression
Write an equation in point slope form of the line that passes though the point (6,6) and has a slope of m=3/2
Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be represented by the equation below, where s represents his total sales, in dollars, for the week.
Answer:
Step-by-step explanation:
Step one:
given data
we are told that weekly salary is $300
and a commission of 7% of the weekly sales
let the sales be s
7% of s = 0.07s
hence weekly commission = 0.07s
let the total earning be y
the linear model for Mr. Randall earnings is
y=300+0.07s
step two:
For the situation whereby he earned $426
the model is given as
426=300+0.07s
let us solve for s, the sales made
426-300=0.07s
126=0.07s
divide both sides by 0.07
s=126/0.07
s=1800
Hence he made sales of $1800 for that week
If x=w find the perimeter of vwx A. 16 B. 19 C. 20 D. 22
Answer:
B
Step-by-step explanation:
Its the only odd number
Baker's Best Canned Biscuits contains 5 biscuits and costs $0.69 per can. Butter Bee Canned Biscuits contains 8 biscuits and costs $1.29 per can. Find the unit rate to determine which brand of biscuits is the best buy?
Answer:
Baker's Best
Step-by-step explanation:
Given data
For Baker's Best
5 biscuits and costs $0.69 per can
The cost per biscuits
=0.69/5
=$0.14 per biscuit
For Butter Bee Canned
8 biscuits and costs $1.29 per can
The cost per biscuits
=1.29/8
=$0.16 per biscuit
Hence the best buy is Baker's Best which offers $0.14 per biscuit
What is the slope of this line
Answer:
3/4
Step-by-step explanation:
you start at the y-intercept or 1 and move 4 to the right, then 3 up.
Answer:
3/4 is the slope
Step-by-step explanation:
rise over run
go up 3 and over 4 to find where the line plots its next point
Hope this Helps :)
PLEASE HELP !
Which scenarios represent one quantity changing at a constant rate per unit interval relative to the other quantity?
Select all that apply
A. An employee earns $14 per hour.
B. An employee earns a 3% raise each year.
C. A gym charges a $50 down payment plus $30 per month.
D. A piece of gym equipment decreases 8% in value every 6 months.
E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.
Answer:C and E
Step-by-step explanation:
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
Given that, an employee earns $14 per hour.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
A). Let the number of hours be x and the total money earned be y
So, y=14x
B). Let the money earn by an employee each year be a and total earning in a year be b.
So, b=a+3% of a
⇒ b=a+0.03a
⇒ b=1.03a
C) Let the number of months be m and the total charge be t
So, t=50+30m
D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months
So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]
E) Let the number of hour be x.
Here, 30 minutes = 1/2 hours
Total charge = 20+5x/2
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
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For f(x) = 4x + 1 and g(x) = x2-5 find (f - g)(x).
A. - x² + 4x - 4
B. - x² + 4× + 6
C. 4 x² - 19
D. x² - 4x - 6
BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!!
Answer:
7 is your answer your welcome
Step-by-step explanation:
I hope you do well on this quiz. lol, be my friend
Which expression is correct?"The square of the sum of a number and 5, added to 3, then squared"
Answer:
5-n squared+3 squared
Step-by-step explanation:
Elevator 1 moved up 10 feet from the ground level. its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. It’s position is labeled as _____
Answer:
I believe your answer would be -5 because in the first part of the question, it tells you that ground level is 0. (by saying that when you go up 10 from ground level, you are at postitive (+)10)
so... if you go 5 down from ground level (0), it the same as 0-5 which is -5. hope this helps! :)
Step-by-step explanation:
A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.
What is the actual length of the trail in kilometers?
A) 1.3 kilometers
B) 3 kilometers
C) 6.75 kilometers
D) 9 kilometers
♡ The Question ♡
A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.
What is the actual length of the trail in kilometers?
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
C) 6.75 kilometers!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
The length of the actual trail is required in kilometers.
The actual length of the trail is C) 6.75 kilometers.
Scale diagrams
It is given that 2 centimeters on the map represents 3 kilometers of actual length.
[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]
We need to find what 1 centimeter on the map represents.
So, we divide both sides by 2.
[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]
The length of the trail is 4.5 centimeters in the map. So,
[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]
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Kelly divided of 5/7 a liter of plant fertilizer evenly among some smaller bottles. She put 1/5 of a liter into each bottle. How many smaller bottles did Kelly fill? Pls help
Answer:
3 bottles
Step-by-step explanation:
Given that :
Total liters of fertilizer = 5/7 litres
Amount put into each smaller bottle = 1/5 liters
Number of small bottles filled :
Total liters of fertilizer ÷ amount put into smaller bottles
5/7 litres ÷ 1/5 litres
5 /7 * 5 /1
= 25 / 7
= 3.57
Hence, 3 bootles was filled
This is probably simple but can someone help me with this??
Answer:
7.5 units
Step-by-step explanation:
First, create a proportion by picking 2 sides:
2.5/n = 5/15
Next, cross multiply:
5n = 37.5
Finally, divide both sides to isolate the variable:
7.5
Therefore your answer is 7.5 units.
5. y=x-1
x+y= 3
anyone know this ?
A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks? Express your answer to the nearest cubic centimeter.
Answer:
[tex]924.96\ cm^3[/tex]
Step-by-step explanation:
Given that,
The diameter of a hockey puck, d = 7.6 cm
Height, h = 3.4 cm
We need to find the volume of the volume of a cylindrical package containing six pucks.
Volume of 1 puck,
[tex]V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3[/tex]
Volume of 6 pucks,
[tex]V=6\times 154.16\ cm^3\\\\=924.96\ cm^3[/tex]
So, the volume of the 6 puck is [tex]924.96\ cm^3[/tex].
Given the dimensions of a single hockey puck, we want to find the volume of a cylindrical package containing six pucks. We will see that the volume must be 925 cm^3
So the volume of a cylinder of diameter D and height H is:
V = 3.14*(D/2)^2*H
Here we have:
D = 7.6cmH = 3.4cm.Then the volume of each single puck is:
V = 3.14*(7.6cm/2)^2*3.4cm = 154.16cm^3
Then the volume of a package that contains 6 of these must have at least 6 times that volume:
6*V = 6*154.16cm^2 = 924.96 cm^3
Rounding to the next cubic centimeter we get 925 cm^3
So the volume of the package must be 925 cm^3
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The Hu family goes out for lunch, and the price of the meal is $54. The sales tax on the meal is 6%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
The total cost of meal is $65.34
Step-by-step explanation:
Price of the meal = $54
Sales tax on meal = 6%
Tip given= 15% on pre-tax amount
We need to find total cost of meal.
First finding sales tax amount:
We need to calculate 6% of 54
[tex]6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24[/tex]
So, the sales tax would be $3.24
Now, we need to find tip amount
We will find 15% of 54
[tex]15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1[/tex]
So, the tip given would be $8.1
The total cost of meal = Price of meal + Sales Tax + Tip
= 54+3.24+8.1
= 65.34
So, the total cost of meal is $65.34