Answer:
t = 3 seconds
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
[tex]h (t) = 144 - 16t ^ 2[/tex]
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Answer:
t=3 seconds
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
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Solution of 0.5x = -1.
first correct answer gets brainliest!!!
Answer:
x = - 2
Step-by-step explanation:
0.5x = - 1
(0.5/0.5 ) x = -1/0.5
Use your calculator
1
÷
0.5
=
You should get 2. But there is a minus sign on the right. The answer is -2
*will give brainlist**okay so u want to know how much diapers u will use for 3 years basically and then the details to help u each box cost 30$ and u need 1,500 of diapers a year how much will u spend in 3 years in total???
ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year
so that equals 6 then you multiply that by $30 to find the total cost of all the diapers per year so the is $180 per year and then multiply that by 3 to find the cost of all 3 years
So the answer is you will spend $540 in total
Answer: you will spend $540 on diapers total.
Tickets to a local circus cost $5 for students and $8 for adults. A group of 9 people spent a total of $60. How many adults were in the group?
Final answer:
By setting up a system of equations based on the provided information and solving them, we can determine that there were 5 adults in the group that attended the circus.
Explanation:
To determine how many adults were in the group at the circus, let's use variables to represent the number of students and adults in the group. Let x be the number of students and y be the number of adults. We know there are a total of 9 people, so we have the equation:
x + y = 9
The total cost for all tickets is $60, and considering the cost for students is $5 and for adults is $8, we have the equation:
5x + 8y = 60
We now have a system of equations that can be solved using the substitution or elimination method. If we solve for x in the first equation (x = 9 - y) and substitute into the second equation:
5(9 - y) + 8y = 60
45 - 5y + 8y = 60
3y = 15
y = 15 / 3
y = 5
There are 5 adults in the group. Now, we can find the number of students by substituting y back into the first equation:
x + 5 = 9
x = 9 - 5
x = 4
So, there are 4 students in the group.
A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid. What could be the x- and y- coordinates of another vertex of the square?
Answer:
3,-4
Step-by-step explanation:
Answer: (9,11)
Explanation: if you plot (9,11) on a grid you can see that the length between 3 and 9 is 6. And the length between 9 and 11 is 6. 6 times 6 is 36. The two length have to be equal to each other because it is a square.
easy pllsssssss help
Answer:
87.5(the first one)
Step-by-step explanation:
first simplify 4 to the 5th power(20) and multiply by 4 to the -7th(-35) and you will get -700 divide that by 4 to the -2nd(-8) and you will get 87.5
Ok so I got 87.5 for the first one but I don't know about the other ones
Which segment is parallel to BC
Line DF is parallel
In triangle ABC with midpoints D, E, and F on sides AB, BC, AC, respectively, segment DF is parallel to BC based on the Midline Theorem
In triangle ABC, if D, E, and F are the midpoints of sides AB, BC, and AC, respectively, then the line segment DE is parallel to BC as per the Midline Theorem.
This theorem states that if a line segment connects the midpoints of two sides of a triangle, that segment is parallel to (and half the length of) the third side of the triangle.
Considering our given scenario, the midpoints of AB and AC are D and F and the line segment formed is DF.
Following the Midline Theorem, this segment DF would be parallel to the third side of the triangle, i.e., BC.
So, the answer to the question 'which segment is parallel to BC?' is DF.
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The probable question may be:
In triangle ABC, Point D, E and F are midpoint of triangle ABC.
which segment us parallel to BC?
A. AB
B. DF
C. AC
D. DE
what is the inverse of y=pi/2+sin x
Answer:
[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]
Step-by-step explanation:
The given function is
[tex]y=\frac{\pi}{2}+\sin x[/tex]
To find the inverse of this function, we interchange x and y.
[tex]x=\frac{\pi}{2}+\sin y[/tex]
we now solve for y.
[tex]x-\frac{\pi}{2}=\sin y[/tex]
Take the sine inverse of both sides to obtain;
[tex]\sin ^{-1}(x-\frac{\pi}{2})=y[/tex]
Hence the inverse of the given function is;
[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]
where [tex]\frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1[/tex]
Answer:
what that guy said
Step-by-step explanation:
Please helppp Omg pleaseee
Answer:
3/4 3/6 5/12
Step-by-step explanation:
the bottom goes from least to greatest
Evaluate the expression when n= 3
what expression?
if you have an expression then I could probably help you.
What are the x-intercepts of the graph of the equation above?
Answer: Option C
Step-by-step explanation:
The graph is of the quadratic equation is a parabola.
The parabola intercepts the x-axis when [tex]y=0[/tex].
Then, you need to substitute [tex]y=0[/tex] into the equation:
[tex]y=x^2+2x-8\\0=x^2+2x-8[/tex]
Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:
[tex]0=(x-2)(x+4)\\\\x_1=2\\x_2=-4[/tex]
Therefore, the x-intercepts are:
(-4,0) and (2,0)
What is the median of the data shown in the box plot below?
A:23
B:28
C:30
D:35
Answer:
It has to be 25 it is the middle number
Answer:
C which is 30.
The telephone pole is _____ feet tall (Round to the nearest whole number)
14 ft
85 ft
42 ft
33 ft
Answer:
[tex]33\ ft[/tex]
Step-by-step explanation:
Let
y-----> the height of the telephone pole
we know that
In the right triangle of the figure
The sine of angle of 67 degrees is equal to divide the opposite side of angle of 67 degrees by the hypotenuse
[tex]sin(67\°)=\frac{y}{36}[/tex]
solve for y
[tex]y=(36)sin(67\°)=33\ ft[/tex]
Evaluate the expression. 0.3+0.2×0.5
Answer:
The answer is 0.4
Step-by-step explanation:
Since we do multiplication first, we do 0.2*0.5. That equals 0.1.
Next, we do addition. 0.3+0.1 is 0.4.
Answer:
.4
Step-by-step explanation:
First, multiply .2 by .5 which is .1
add this to .3 and you get .4
Your answer is .4
simplify 15c3 please
Answer:
455.
Step-by-step explanation:
Yes. You require the number of combinations of 3 from 15.
15C3
The formula for this is 15! / 12! 3! or you can do itr as follows
15C3 = 15*14*13/3*2*1
= 5*7*13
= 35*13
= 455.
will give brainliest!!!! worth lots of ponts plzz anser i need this !!!!!
Answer:
A; the rate of change is the same
Explanation:
The graph and the table appear to be the same
Answer:The rates change are equal. The graph has a greater rate change. The table has a greater rate change. So none of the above
need help plz .You have $2500 to invest in two different accounts. In order to save the money you need for college, you need to average 7% interest. If the two accounts pay 7.5% and 6% interest, how much should you invest in each account? Round to the nearest dollar amount.
A)$1667 in 7.5%, $833 in 6%
B)$1833 in 7.5%, $667 in 6%
C)$667 in 7.5%, $1833 in 6%
D)$833 in 7.5%, $1667 in 6%
Answer:
A)$1667 in 7.5%, $833 in 6%
Step-by-step explanation:
You need to average 7% interest.
initial investment = $2500
7% of $2500 = [tex]\frac{7}{100}[/tex] × 2500 ⇒ (0.07 ) × (2500) ⇒ $175
so the combined interest from both accounts should be $175
Checking options:
A)$1667 in 7.5%, $833 in 6% ∵ 7.5 % = 0.075
(1667 × 0.075) + (833 × 0.06) 6 % = 0.06
125.025 + 49.98 ⇒ 175.005
B) $1833 in 7.5%, $667 in 6%
(1833 × 0.075) + (667 × 0.06)
137.475 + 40.02 ⇒ 177.495
C)$667 in 7.5%, $1833 in 6%
(667 × 0.075) + (1833 × 0.06)
50.025 + 109.98 ⇒ 160.005
D)$833 in 7.5%, $1667 in 6%
(833 × 0.075) + (1667 × 0.06)
62.475 + 100.02 ⇒ 162.495
Option A is the closest to average7% interest of $2500, which is $175.
What is a radical equation
Answer:
is an equation in which a variable is under a radical
Answer:
An equation where the radical is under the equation...
Step-by-step explanation:
Right?
Which rule describes the translation?
C would be my guess, I just take the first letter w/o the apostrophe, and move it by each rule and see if it matches up with the letter with the apostrophe.
Answer:
C, (x,y) → (x + 8, y - 3)
Step-by-step explanation:
we can locate one point on the shape and use that as a reference point to see where it goes.
ABCD is the original shape, while A'B'C'D' is the translated shape
we start at ABCD, for this shape i picked the point B to follow
we count how many units the point B goes in order to get to B'. we start on the x axis, and see that it goes 8 units to the right. this is an increase, as its rising in value
from there, we follow the y axis, moving 3 units down. this is a decrease, as we are going 3 units down
so according to what we have moved in order to get from B to B', we moved 8 to the right so we have x + 8, with x being the x-coordinate the point was previously on. we have moved 3 units down to get from B to B', which is y - 3, with y being the y-coordinate the point was on previously
the answer to this is C, (x,y) → (x + 8, y - 3)
5(3x+8) simplify this equation please that would help a lot thanks.
[tex]5(3x + 8) \\ 15x + 40[/tex]
Hope that helped
Answer:
15x+40
Step-by-step explanation:
Use the Distributive Property
what is the distance between the points (3,12) and (14,2)?
Answer:
sqrt(221)
Step-by-step explanation:
The distance between two points is found by
d =sqrt( (y2-y1)^2 + (x2-x1)^2)
= sqrt( (2-12)^2 + (14-3)^2)
= sqrt((-10)^2 + (11)^2)
= sqrt( 100+121)
= sqrt(221)
A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smart phones. If they made 7,800 smart phones last month and gold is valued at $1,300 per ounce, what is the value of gold used last month? A) $19,500 B) $20,500 C) $21,500 D) $22,500
Answer:
Its 19,500
Step-by-step explanation:
Answer:
Option A. $19,500
Step-by-step explanation:
A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smartphones.
We will solve this problem by unitary method.
In 5200 smartphones use of gold = 10 ounces
in 1 smartphone use of gold = [tex]\frac{10}{5200}[/tex] = 0.001923 ounces
In 7,800 smartphones, use of gold = 0.001923 × 7800 = 14.999 ounces rounded to 15 ounces of gold
Last month the value of 1 ounce gold is $1,300
The value of 15 ounces = 1,300 × 15 = $19,500
The value of gold used last month is $19,500.
Can some one answer this ASAP 15points sorry about the scribbles please give answers
Answer: THEIR HIDEOUT MUST BE CLOSE TO THE SCHOOL
Step-by-step explanation: U= 1 L=0 R= -2 I=24 M=17 H= -3 E=100 S= -439 O=11 B= -6 T= -41 D= 19 C=206
Which of the following are considered measures of variability?
I. mean
II. interquartile range
III. mean absolute deviation
Answer:
the answers are interquartile range and mean absolute deviation
Step-by-step explanation:
In statistics, measures of variability are Interquartile Range and Mean Absolute Deviation, which indicate the degree of spread in a data set. However, the Mean is a measure of central tendency, not variability.
Explanation:
In the context of statistics, measures of variability are statistical data that highlight the degree of the spread in a data set. These are measures that can help us to identify how much the values in the data set differ from their mean value. Out of the options provided, II. Interquartile Range and III. Mean Absolute Deviation can be classified as measures of variability.
The Interquartile Range (IQR) is a measure of statistical dispersion and is calculated as the difference between the 75th and 25th percentiles. It’s the range within which the center half of a data set lies. The Mean Absolute Deviation (MAD) is the average distance between each data value and the mean.
However, I. Mean is not a measure of variability but rather a measure of central tendency. It helps to identify the central point or typical value of a data set but does not represent the dispersion of data points.
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Using the Vertical Method to multiply these two polynomials, fill in the values for A, B, and C
A) A=8x^2,b=6x^3,c=-23x
B)A=8x^2,b=6x^3,c=7x
C)A=-8x^2,b=6x^3,c=-23x
D)A=8x^2,b=6x^3,c=23x
Answer:
C)A=-8x^2,b=6x^3,c=-23x
Step-by-step explanation:
As per vertical Method to multiply
for A
1st partial product = -4(5x^3-2x^2+2x+5), so 2nd term i.e. A is
-4 (-2x^2)= 8x^2
for B
2nd partial product= -3x(5x^3-2x^2+2x+5), so 2nd term i.e. B is
-3x(-2x^2)=6x^3
for C
Final product= sum of two partial products, C is
-8x-15x=-23x
!
which scale drawing of the parallelogram has a scale factor of 1/3 if the original parallelogram has lengths 6 cm and 15 cm
Answer:
2 and 5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
If two sides of a triangle are 9 cm and 15 cm in length, which COULD be the measure of the third side?
A) 23 cm
B) 24 cm
C) 25 cm
D) 26 cm
Answer:
Its A) 23
Step-by-step explanation:
Its right, trust me
The possible value of the third side of the triangle is 23.
What is the range of the third side when two sides of a triangle are known?The range of third side c when two sides a and b of a triangle are known is given by the inequality:
[tex]a-b < c < a+b[/tex]
It is given that:
a =15
b = 9
So, by the triangle inequality
[tex]15-9 < c < 15+9[/tex]
6 <c <24
The third side will take the value between 6 and 24.
so, the possible value of the third side of the triangle i.e. c is 23.
Therefore, the possible value of the third side of the triangle is 23.
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The equation for the best fit line is y=5.2x+18. It says if the observed value when x=10 was y=62, then which of the following represents the value of the residual for this point. The options are 52, 8,-8,&-10. i need help please!!
The residual value is -8
What is a residual value?A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .
Here, the given regression equation of the line,
y = 5.2 x +18
Thus, for x = 10, the predicted value of
y = (5.2 × 10) +18
y = 52 + 18
y = 70
Now, by the given question,
For x = 10, the observed value of y = 62,
Hence, the residual for 10 = Observed value of y for 10 - Predicted value of y for 10
= 62 - 70
= -8
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Plzz help me ASAP plz plz!!
Which expression is equivalent??
Answer:
THe 3rd one
Step-by-step explanation:
Number 3 should be the answer
Mary tutors english. For each hour that she tutors she earns 40 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find marys earnings after tutoring for 13 hours
Answer:
A.) 40(t) = E
B.) 520
Step-by-step explanation:
t is for time, E is the total, H is the hourly rate.
plug in the numbers to get 40(13) = h and solve for H and you get 520
-- Brainliest answer is much appreciated! :)
An equation is formed of two equal expressions. Mary's earnings after tutoring for 13 hours is $520.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that for each hour that Mary tutors she earns 40 dollars. Therefore, the equation to find marys earnings after tutoring for H hours can be written as,
Earnings = Hourly rate of tutoring × Number of hours
E = 40 × H
E = 40H
Now, Mary's earnings after tutoring for 13 hours will be,
E = 40(13)
E = 520
Hence, Mary's earnings after tutoring for 13 hours is $520.
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Help! Help! I need to study for tomorrow's math exam. Plz also explain how u got ur answer
Answer:
5,1 is correct
Step-by-step explanation:
you go over one then up two for G. For H, you go down one and over two.
5,1 because they are both the same distance from F