Answer:
g(t) = 0; solve for t
Step-by-step explanation:
Given
Options (a) to (e)
Required
Which of the options is true
From the question, we understand that: g(t) represents hare's time to complete the race
At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.
Take for instance:
[tex]g(t) = 10 - t[/tex]
The time to complete the race is: g(t) = 0
So, we have:
[tex]0 = 10 - t[/tex]
Collect like terms
[tex]t = 10[/tex]
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Linear equation
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).
Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Find out more on Linear equation at: https://brainly.com/question/13763238
A machine in a candy factory can
make 62 candies in one hour. About
how long would it take to make
2,480 candies?
Answer:
40
Step-by-step explanation:
hope this helps
The following diagram shows part of the graph off with x-intercept (5,0) and y-intercept (0,8).
Find the y-intercept of the graph of f(x) + 3.
Step-by-step explanation:
By question , it's given that the X intercept is (5,0) and the y intercept is (0,8) . And we need to find the y-intercept of the graph of f(x) + 3 . For that , firstly let's find out the equation of the line.
We can use here two point form of the line .So that , the equation would be ,[tex]\sf\implies y- y_1 = \bigg(\dfrac{y_2-y_1}{x_2-x_1}\bigg) ( x - x_1) \\\\\sf\implies y - 0 = \bigg(\dfrac{0-8}{5-0}\bigg)( x - 5 ) \\\\\sf\implies y = \dfrac{-8}{5}( x - 5 ) \\\\\sf\implies 5y = -8x +40 \\\\\sf\implies 8x + 5y - 40 = 0 [/tex]
Let us say that this is f(x) :-
[tex]\\\\\sf\implies f(x) = 8x + 5y - 40 \\\\\sf\implies \boxed{\sf\red{ f(x)+3 = 8x +5y -37 }}[/tex]
Plot its graph :-
We can either convert it into intercept form but plotting a graph can also be done to find y intercept .
[tex]\implies \boxed{\pink{\sf y - intercept = 7.4}}[/tex]
Refer to attachment for graph .
Hence the y Intercept is 7.4 .
A rectangular lawn has an area of 1624 square metres. Its perimeter is 170 metres. What are the dimensions of the lawn?
GIVEN
L×B = 1624. ---1)
2(L+B) = 170
(L+B) = 85
L= 85- B
Substitute value of L in eq 1)
(85-B)B = 1624
B²-85B+1624 = 0
B²-56B-29B+1624 = 0
B(B-56)-29(B-56) = 0
(B-29)(B-56) = 0
B= 29 OR B= 56
IF B = 29, L = 56
IF B = 56, L = 29
The dimension of lawn is 56×29 cm²
what is the vertex of y=ax^2+c
9514 1404 393
Answer:
(0, c)
Step-by-step explanation:
Compare the given equation to the vertex form equation ...
y = a(x -h)^2 +k . . . . quadratic with vertex (h, k)
You have ...
y = ax^2 +c
Matching these forms, we see that h=0, and k=c. Then the vertex is ...
(h, k) = (0, c)
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice,and they want to get exactly the same amount. How much orange juice can each get?
Answer:
Quantity of juice = 300 milliliters
Step-by-step explanation:
Given the following data;
Total quantity of juice = 3 liters
Number of students = 10 students
To find the quantity of orange juice each student can get;
First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.
Conversion:
1 liter = 1000 milliliters
3 liters = 3 * 1000 = 3000 milliliters
Next, we determine the quantity each student get;
Quantity of juice = 3000/10
Quantity of juice = 300 milliliters
Can someone please help answer?
In the triangle ABC shown below, DE is parallel to BC. Find the length of DB.
20
10
D
E
х
B
15
с
Answer:
i think it's 10 because if DE is 10 so BD is the same think it's 10
PLS HELP!! need the answer asap
Answer:
Step-by-step explanation:
x+2x+27=90
3x=90-27
3x=63
x=63/3
x=21
Answer:
x = 21
Step-by-step explanation:
Since ∠ PQR = 90° , then the sum of the 3 angles = 90° , that is
x + 2x + 27 = 90
3x + 27 = 90 ( subtract 27 from both sides )
3x = 63 ( divide both sides by 3 )
x = 21
Fraccion decimal de -8,6
Answer:
− 1. ¯3
Step-by-step explanation:
The number of manatee deaths along the Florida coast was recorded each year from 1977 to 1990. Below is a regression printout for number of deaths versus number of boats for each of the 14 years. Which of the following would give a 95% confidence interval for the slope of the regression line?Regression AnalysisThe regression equation isDeaths = - 41.4 + 0.125 BoatsPredictorCoefStdevt-ratiopConstant-41.4307.412-5.590.000Boats0.124860.012909.680.000s = 4.276 n = 15 R-sq = 88.6% R-sq(adj) = 87.7%0.125± 2.160(.013)0.125± 2.145(.013)0.125± 2.179(.013)0.125± 2.179(4.276)0.125± 2.145(4.276)
the anser is 333399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
-1+3cotx
How do I graph this?
Answer:
Step-by-step explanation:
Solve:
3/4 + 6/7 + 2/9
The answer is 1.829365
Step-by-step explanation:
3/4+6/7+2/9=1.83
Answer:
461/252
Step-by-step explanation:
See the steps below:)
what is the area of a tile floor that is 12.8 feet long and 9.5 feet wide
Answer: 121.5 ft^2
Step-by-step explanation:
Area= L x W
12.8 X 9.5
= 121.6
1.
a. Find the lengths of the unlabeled sides.
Answer:
The first one-6.324 (This number actually goes on forever), The second one-10
Step-by-step explanation:
1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324
2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y
Answer:
[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]
Answer:(10,-6)
Step-by-step explanation:
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%20%5C%20+%20%5C%205y%20&=&%2010%20%5C%5C%20-4x%20%5C%20-%20%5C%2012y%20&=&%2032%5C%5C%20%5Chline%200%20%5C%20-%20%5C%207y%20&=&%2042%5C%5C%20y%20&=&%20-6%20%5Cend%7Barray%7D
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%5C%20+%20%5C%205y%20&=&10%20%5C%5C%204x%5C%20+%20%5C%205(-6)%20&=&10%20%5C%5C%204x%5C%20-%20%5C%2030%20&=&10%20%5C%5C%204x%20&=&%2040%20%5C%5C%20x%20&=&%2010%20%5Cend%7Barray%7D
Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?
Answer:6
Step-by-step explanation:
The original number that was multiply by 5 instead of 3 is 6.
What is the orignal number?The equation that can be used to represent the informatioin in the question is:
5x - 3x = 12
Where x is the original number
In order to determine the value of x, take the following steps
Combine similar terms: 2x = 12
Divide both sides by 2
x = 6
To learn more about multiplication, please check: https://brainly.com/question/3385014
35-4-2-13
O C5 (
42) 13
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64) -2-13
Brayden saves $1,500 at a yearly simple interest rate of 2.5%. How many years
does it take for the amount he has saved to be double the original amount.
Answer:
40 years.
Step-by-step explanation:
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
Brayden saves $1,500 at a yearly simple interest rate of 2.5%.
This means that [tex]P = 1500, I = 0.025[/tex]
How many years does it take for the amount he has saved to be double the original amount?
This will happen when the earned money is the principal, that is, E = 1500. So
[tex]E = P*I*t[/tex]
[tex]1500 = 1500*(0.025)*t[/tex]
[tex]t = \frac{1}{0.025}[/tex]
[tex]t = 40[/tex]
40 years.
Answer:
Step-by-step explanation:
40 years.
Step-by-step explanation:
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
Brayden saves $1,500 at a yearly simple interest rate of 2.5%.
This means that
How many years does it take for the amount he has saved to be double the original amount?
This will happen when the earned money is the principal, that is, E = 1500. So
Can someone please help?
answer this please .
Answer:
[tex] \frac{3}{5}x + 2 = \frac{2}{3} x[/tex]
[tex]2 = \frac{2}{3} x - \frac{3}{5} x[/tex]
[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]
[tex]2 = \frac{1}{15} x[/tex]
[tex]x = 2 \times 15[/tex]
[tex]x = 30[/tex]
Your answer is x=30
If you are helped with my answer pls tag me brianliest I really want it....... Plzz
THANK YOU......
A landowner wants to find the distance d across a pond. The two overlapping right triangles are similar . Using the measurements shown , what is d?
Answer:
96 m
Step-by-step explanation:
It is given that the two overlapping triangles are similar in the figure.
The landowner wishes to find the distance across the pond. The distance is d.
From the figure, since the two triangles are similar, therefore we can write :
[tex]$\frac{d}{(24+40)}=\frac{60}{40}$[/tex]
[tex]$\frac{d}{64}=\frac{60}{40}$[/tex]
[tex]$d = \frac{60}{40} \times 64$[/tex]
[tex]$d = \frac{6}{4} \times 64$[/tex]
d = 6 x 16
= 96 m
Therefore, the distance across the pond is d = 96 m
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
A rectangular prism has a length of 4 feet, a width of 8 feet and a height of 5 feet. What is the volume of the prism
Part A
The function f(x) = −4x2 + 18x + 16 models the predicted sales of a hat after x price increases. Use the table showing actual and predicted sales to find the residuals for the model. Part B
Function g also models the predicted sales of the hat in Part A. For function g, the average distance of the residuals from the line y = 0 is 1.3. Is f or g a better model for the data?
Use the drop-down menu to show your answer.
Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.
Actual Sales ($) Predicted Sales ($) Residual
0 17 16
1 29 30
2 34 34
3 33 34
4 22 24
Answer:
Actual Sales | Predicted Sales | Residual
$ $
17 | 16 | 1
29 | 30 | -1
34 | 34 | 0
33 | 34 | -1
22 | 24 | -2
-----------------------------
hope it helps..
have a great day!!
Two similar trapezoids have areas 225 and 400. If the height of the smaller trapezoid is 12, find the height of the larger trapezoid.
Answer:
Step-by-step explanation:
HELPPP HELPPP HELPPP!!!!
Answer:
Step-by-step explanation:
area =8*4 cm
=32 cm^2
Answer:
area of the figure=8×4
=32 cm²
Which of the following plots has exactly 2 clusters and
1 outlier
What are the solutions to the quadratic equation x2-16=0
Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Learn more about the unitary method here https://brainly.com/question/24587372
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