The function s(t) = t2+2t+5shows the height s(t), in feet, of a water balloon after t seconds. A second water balloon moves in the air along a path represented by p(t)=11+3t where p(t) is the height, in feet, of the balloon from the ground at time t seconds
Part A: Create a table using integers 1 through 4 for the two functions. What is the solution for s(t) = p(t)? How do you know? Include the table in your answer.
Part B: Explain what the solution from Part A means in context of the problem.
Answers
Answer:
t =2 , 3
Step-by-step explanation:
s (t) = t^2 + 2 t + 5
p (t) = 11 + 3 t
(a) s (1) = 8
s (2) = 13
s (3) = 20
s (4) = 29
p (1) = 14
p (2) = 17
p (3) = 20
p (4) = 23
Now equate both of them
\(t^2 + 2t + 5 = 11 + 3 t \\\\t^2 - t - 6 =0 \\\\t^2 - 3 t + 2t - 6 =0\\\\t(t - 3) + 2 (t - 3) = 0\\\\(t -3)(t-2)=0\\\\t =3, 2\)
(b) It shows that the values are same at = 2 and t = 3.
Related Questions
The population of the united states is 280 million. If 2 out of 3 americans know who the vice president is, how many americans know who the vice presdient is?
Answers
Answer:
186,666,667 Americans know who the vice president is
Step-by-step explanation:
In this question, we are tasked with calculating the number of USA citizens that know who the vice president is.
Now, in this question, we are made to know that the total population is set at 280 million with 2 out of three knowing who the vice president is.
What this means is that a fraction of the population at 2/3 knows who the vice president is
This fraction is equal to; 2/3 * 280,000,000 = 186,666,666.66666666
This is approximately equal to 186,666,667 people
Answer:
About 186.7 million people know who is the president of the United States.
Step-by-step explanation:
The number of US people who know who the vice president is (Mike Pence in 2020):
\(x = \frac{2}{3}\cdot (280\times 10^{6}\,people)\)
\(x = 186.667\times 10^{6}\,people\)
About 186.7 million people know who is the president of the United States.
Use the graph to predict the length of a rectangle with a perimeter of 20 inches and a width of 5 1/2 inches. Check the prediction by finding the actual length of the rectangle.
Answers
The length of a rectangle of perimeter of 20 inches is of 4.5 inches.
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that the area and the perimeter of the rectangle have equations presented as follows:
The area is given by the equation A = lw.The perimeter is given by the equation P = 2(l + w).In this context of this problem, the width of the perimeter is given as follows:
w = 5 and 1/2 inches = 5.5 inches.
(to convert the mixed number to decimal, we added the integer part with the decimal part).
The perimeter of the rectangle is given as follows;
P = 20 inches.
Hence the length of the rectangle can be found as follows:
2(l + w) = 20
l + w = 10
l + 5.5 = 10
l = 10 - 5.5
l = 4.5 inches.
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Answer the question in photo [ Brainliest + easy points ]
![Answer the question in photo [ Brainliest + easy points ]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/WFWBAarIDwWyqItanC63nsUl1RnNlyuI.png)
Answers
Answer:
24 units
Step-by-step explanation:
BC + DC = BC
12 + 12 = 24 units
Which is the graph of 2x – 4y > 6?
Answers
Answer:
The fourth graph on the far right
Step-by-step explanation:
The answer does not include the origin, as if you substitute x=0 and y=0 back into the original equation you get 0>6 which is false. Therefore, we can exclude the second answer and the third answer.
Solving the inequality for y, 2x-4y>6 -4y>-2x+6 y>-2x/-4-6/4 y>1/2x-3/2
At x=0, y should be greater than -3/2. The fourth answer shows y is greater than -3/2 at x=0. Therefore, the fourth graph is the solution.
Answer:
d
Step-by-step explanation:
edg 2022
Please help I will give brainliest
Answers
Answer:
2:1
1:2
x=16
y=4
p=46
p=23
Step-by-step explanation:
6th grade math help me pleaseeee
Answers
Answer:
-16/5
Step-by-step explanation:
Answer:
-16/5
Step-by-step explanation:
-32/10
reduce the fraction with 2
-16/5
what is the slope of this? HELP PLS
Answers
can you help me find the value of x
Answers
The value of x when Sum of LHS = RHS is 4.
How much does X equal?The letter "x" may be used in algebra to represent an unknown value. It might be called a "variable" or "unknown." If we make an effort, we can determine the value of x in the equation x + 2 = 7! The letter "x" is not required for a variable; it can also be "y," "w," or any other letter, name, or symbol.
The algebraic statement should typically take one of the following shapes: addition, subtraction, multiplication, and division. To find the value of x, first bring the variable to the left side, then shift every other value to the right side.
x + 5 + x+ 5+ x+ 5 = 27
3x + 15 = 27
3x = 27 - 15
x = 12/3
x = 4
Thus, The value of x when Sum of LHS = RHS is 4.
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Correct question:
Given both sides are equivalent expression and LHS sum = RHS. Find The value of x?
this is really easy i just dont get it
Answers
Answer:
x=1
Step-by-step explanation:
We wanna have the same amount on both sides
There are 3 circles on the left and 7 circles on the right. There are also 4 triangles. Turn into numbers...
4x+3=7
4x=7-3
x=1
We can check by substituting one
7=7
The area of the rectangular floor of a shed is 40 space y d squared. The length of the shed is (x+2) yd and the width of the shed is (x-1) yd. Find the dimensions of the shed. Provide justification for each step. You can use the Sketch tool, or hand-write your algebraic proof, or type your answer. But you need to provide all the steps, with justification for each step, to get credit for this problem.
Answers
Answer:
x=3
Step-by-step explanation:
3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answers
Answer: 4 years
Step-by-step explanation:
144 + 8(4) = 176
108 - 5(4) = 88
88 x 2 = 176
can somebody please help me with the domain & function
Answers
Reverse the table and observe
For 1 month cost is 50For 2 months the cost is 100See the pairs are (1,50) and (2,100) and so on
We know domain is set of x values and range is set of y values.
As there is no extra cost and the cost is 50$ per month cost depends upon the month means months are independent and cost is dependent , months are x and cost will be y then
The equation is
y=50xSo here domain is all months
{1,2,3,4,5,6,7,8,9,10,11,12}Step-by-step explanation:
Step 1: Determine a function
Since we are increasing the amount paid by $50 each month that means that we can just use a simple equation such as y = 50x to signify that every time you add a month $50 would be added. For example, we take 3 months and put that into x which would give us $150 which is the correct answer.
y = 50x
Step 2: Determine the domain
Domain is the x-values that are being used. In this question, the y-values is the amount paid why the x-values are the months from 1-12.
Therefore, the domain of this function is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
Answers
The total length of the trip 190.08 miles
How you do it is to add the 44% of 132 to 132
= (132 + (132×44%))
What is the length?Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.
First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.
132 × 0.44 is 58.08 miles.
Then you add that to the rest of the trip, 132 miles.
= (132 + 58/08
=190.08
The total length of the trip was 190.08 miles.
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Which property does each equation demonstrate?
x2 + 2x = 2x + x2
Answers
Jamie ran the first 2000 meters in 6 minutes. At that rate, how long would it take Jaime to run 5000 meters?
Answers
Answer:
15 minutes
Step-by-step explanation:
To figure this out, you can create a ratio. If we say the first 2000 miles is the 1 in the ratio, the ratio would be 1 : 2.5. Since it took 6 minutes for the first 2000, you have to multiply 6 by 2.5 to get your answer of 15 minutes.
an inequity that can be written in the form ax by < c (where a and b are not both zero) is called a ____?____ inequality in two variables.
Answers
An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.
An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.
In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.
The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.
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A relationship between two quantities, normally expressed as the quotient of one divided by another. A comparison of two numbers or measurements.
Answers
The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio
The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.
For example, if we have two quantities A and B, the ratio of A to B can be written as
A/B
A:B
"A is to B"
The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.
Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.
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Which is always true about the function represented by this graph?
A. As the value of x increases, the value of y increases.
B. As the value of x increases, the value of y decreases.
C. The variable x is always greater than y.
D. The variable y is always greater than x.
Answers
Answer:
As the value of x increases, the value of y decreases
A bag contains five red marbles 3 blue marbles and 7 yellow marbles into remodels which radio can be used to compare the yellow my bus to the blue marbles
Answers
Answer:
The ratio to compare would be C) 5 to 3 because there are 5 red amrbels and 3 blue ones
Can someone help pleaseeee
Answers
Answer:
tan A = 5/12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = 5/12
Which expression is equivalent to 3/256x10y?
0 4x²y
4xy?(/4xy)
16x?y? (VW)
16xy (39)
please help !
Answers
Answer:
\( 4 {x}^{3} {y}^{2} \sqrt[3]{4xy}\)
Step-by-step explanation:
\( \sqrt[3]{256 {x}^{10} {y}^{7} } \\ \\ = \sqrt[3]{( {4)}^{4} {(x)}^{9} \times x \times {(y)}^{6} \times y } \\ \\ = \sqrt[3]{ {4}^{3} \times 4 \times ({x}^{3})^{3} \times x \times ({y}^{2})^{3} \times y} \\ \\ = 4 \times {x}^{3} \times {y}^{2} \sqrt[3]{4 \times x \times y} \\ \\ \huge \red{ \boxed{ = 4 {x}^{3} {y}^{2} \sqrt[3]{4xy} }}\)
PPPPPPPPPPLLLLLLLLLLLLLLLLLSSSSSSSSSSS HELP!
Answers
Answer:
26 Cups can be put in the dispenser
Step-by-step explanation:
Given that:
height of cup = 10 cm
each cup adds = 0.8 cm to stack
Dispenser height = 30 cm
We have to find number of cups that can fit into dispenser:
When the first cup will be placed into the dispenser,
Available length will be = 30 - 10 = 20 cm
Now each next cup will add 0.8 cm so:
20 cm will have = 20/0.8 cups
20 cm will have = 25 cups
And the total (30 cm) will have = 26 cups
Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to ¾ and the y-intercept to 6. Which statement about the relationship between these two graphs is true?
Answers
Answer:
The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.
Step-by-step explanation:
The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.
What is Linear function?Function in Linear A straight line on the graph has the equation. One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable.
A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as y = 3x - 2 since y can be replaced with f(x).
Given:
f(x) = x
slope = 3/4
y- intercept= 6
Then, the new function will be
f(x) = 3/4x + 6
In f(x) = x
slope= 1
and, 3/4 is less than 1.
So, the new line is less steep
and, the new line is shifted up by 6 units
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I need emergency help I’ll mark you as brainlist
Answers
Answer:
156
Step-by-step explanation:
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
Answers
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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1
Select the correct answer from each drop-down menu.
The function ($) = 38 has been transformed, resulting in function h.
h(s) = -(* + 2) - 4
To create function h function was translated 2 units
V, translated 4 units
and reflected across the
Reset
Next
Answers
Answer: up
Step-by-step explanation: good
Who can guess my comfort character from my hero academia!?
Answers
Answer:
jhasjhsdahjsauhdsa
Step-by-step explanation:
hmmmm i think its either bakugou, kirshima, or todoroki-
Answer:
Kirishima
Step-by-step explanation:
He is comforting to me very sweet
(best boy)
3/8 rounded to the nearest thousand
Answers
19/50
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Help a Brother Out On The evalute expressions
Answers
Answer:
4. - 11
5. 3
6. 14
7. - 60
that it is
Find the value of sin H rounded to the nearest hundredth, if necessary
Answers
Answer:
7/25 or .28
Step-by-step explanation:
sin=opp/hyp
7/25