Answer:
2.12 seconds
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 15t + 40[/tex]
Required
Determine how long the ball hits the ground
When the ball hits the ground means that [tex]h(t) = 0[/tex]
So, we have that:
[tex]h(t) = -16t^2 + 15t + 40[/tex] becomes
[tex]0 = -16t^2 + 15t + 40[/tex]
Reorder
[tex]-16t^2 + 15t + 40 = 0[/tex]
Multiply through by -1
[tex]16t^2 - 15t - 40 = 0[/tex]
Solve using quadratic:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex] [tex]b = -15[/tex] [tex]c = -40[/tex]
So, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes
[tex]t = \frac{-(-15)\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{225 +2560}}{32}[/tex]
[tex]t = \frac{15\±\sqrt{2785}}{32}[/tex]
[tex]t = \frac{15\±52.77}{32}[/tex]
Split:
[tex]t = \frac{15+52.77}{32}[/tex] or [tex]t = \frac{15-52.77}{32}[/tex]
[tex]t = \frac{67.77}{32}[/tex] or [tex]t = \frac{-37.77}{32}[/tex]
[tex]t = 2.12[/tex] or [tex]t = -1.18[/tex]
But time can't be negative
So:
[tex]t = 2.12[/tex]
Hence, time to hit the ground is 2.12 seconds
The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.
Answer:
Nancy's heart rate is higher than Lee's heart rate.
Step-by-step explanation:
Equation for the heart beats of Lee is,
y = 1.2x
And the heart beats of Nancy is represented by the graph.
Higher the slope of the line = Faster the hear rate.
Slope of line represented by y = 1.2x,
m = 1.2
Similarly, slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{5}{4}[/tex]
= 1.25
Since, slope of the line representing Nancy's heart rate is greater than slope of the line representing Lee's heart rate.
Therefore, Nancy's heart rate is faster than Lee's heart rate.
At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?
$80.00
$60.00
$24.00
$75.80
James would be spending the amount of $75.80 which is the correct answer would be an option (D).
What is the Multiplication operation?In mathematics, the multiplication operation Values on each side of the operator are multiplied.
We have been given that there were t-shirts for sale for $18.95 each at the amusement park, and James bought 4 of them.
To determine the amount of cost did he spend.
The amount of cost is equal to the multiplication of each t-shirts cost and
quantity.
The amount of cost = the cost of each t-shirt × quantity
The amount of cost = $18.95 × 4
Apply the multiplication operation to get
The amount of cost = $75.80
Therefore, he would be spending the amount of $75.80.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
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Question 2 (Multiple Choice Worth 4 points)
In which expression should the exponents be multiplied?
6
0 0
o
99
94
073.78
O (26)-5
Answer:
No pic or question.
Step-by-step explanation:
number 10 pleaseeee
:) tysm this is due tmmrw
f(x)=-**
x+2 and g(x)=-3x² - 7x+10
Some one help?
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
A.
g(x) = 5^(7x)
B.
g(x) = 7(5^x)
C.
g(x) = 7^(5x)
D.
g(x) = 5(7^x)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]g(x) = 5( {7}^{x} )[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is [tex]g(x) = 5(7^x)[/tex] .
What is graph transformation?Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph .
According to the question
The graph of [tex]f(x) = 7^x[/tex] stretched vertically by a factor of five .
i.e
we have to make change is graph equation so y axis changes 5 times .
Therefore ,
[tex]f(x) =( 7^x ) * 5[/tex]
The Graph transformation of f(x) is
[tex]g(x) = 5(7^x)[/tex]
Hence, the Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is [tex]g(x) = 5(7^x)[/tex]
To know more about Graph transformation here:
https://brainly.com/question/10059147
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Benjamin decided to himself to breakfast at Seva restaurant he ordered chocolate milk that cost $3.25 then he wants the bio as many pan cakes as he can but he wants to be able to be at most $30 before tax the restaurant only sells pancakes in stacks oh for pancakes cakes for $5.50. Let S represent the number of stacks of pancakes that Benjamin buys which any inequality describe this scenario
Answer: 3.25 + 5.50s ≤ 30
Step-by-step explanation:
The following information can be gotten from the question.
Cost of chocolate milk = $3.25
Cost of stack pancake = $5.50
Maximum amount to be spent by Benjamin = $30
Number of stacks of pancakes to be bought = s
First, we need to calculate the stacks of pancakes that Benjamin can buy. This will be:
= $5.50 × s
= 5.50s
Therefore, the total money that Benjamin will spend will be:
= 3.25 + 5.50s
Since he wants to be able to be at most $30 before tax, the inequality can be written as:
= 3.25 + 5.50s ≤ 30
Please walk me through how to solve this. I've already graphed it, just need to know how to solve. Thanks!
Graph ABCD with B(0,6), C(2,-5), and D(-8, -1),
then order the angle measures from least to
greatest.
Answer:
Get a protractor
Step-by-step explanation:
You should have a protractor if you're doing this type of work. Measure the angles with it, and than order them from least to greatest. If you dont have a protractor, ask your parents to get you one ASAP
Question 6
What is the 10th term in this arithmatic sequence if u is 0.2?
0.2, 1.55, 2.9, 4.25, 5.6 ....
Answer:
12.35 should be the 10th term sorry if im wrong tho
Step-by-step explanation:
I got bullied guys *drop mic 100000000000x times till faints*
Step-by-step explanation:
1-800-273-8255 my dude
Answer:
I think you should tell someone you trust that you got bullied. I'm so sorry, I know people that got bullied. We'll fight this together.
How many boxes should be shaded on the grid to show 3/8 x 3/4
Answer:
9 boxes
Step-by-step explanation:
Solve for p: 16p + 24 = 48
hi
16p +24 = 48
16p = 48-24
16p = 24
p = 24/16
P = 8*3 /8*2
p = 3/2
Answer:
3/2
Step-by-step explanation:
First move 24 to the other side. Therefore, you subtract 24 from 48 (48-24). You’re left with 16p= 48-24. That is 16p=24. Now we are trying to find p so we’re going to divide both sides by the coefficient of p which is 16. So, p= 24/16. Both 24 and 16 are multiples of 8 so you can simplify to p=3/2. Hope you understand!
A quadratic equation in standard form is written az = but c, where a, b, and
care real numbers and a is not zero.
A. True
B. False
Answer:
false
Step-by-step explanation:
Item 18
Write the word sentence as an equation. Then solve.
10 more than a number c is 3.
Equation:
Solution: c=
Answer:
I would say c is .3 . The equation is 3÷10
Step-by-step explanation:
because its saying c times 10 is 3 and the reverse of multiplication is division. So you divide 3 by 10 to find c Hope This helps!! C is 0.3
Plz I need help!!!!!!!!!!!!!!!!!!
Answer:
The correct answer is 2437.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the range of the function f(x) = 3x - 2, given the domain {-4, 0, 4}
Answer:
{-14, -2, 10}
Step-by-step explanation:
To find the range, you can use all the domain values and find the output.
f(-4) = 3(-4) - 2
f(-4) = -12 - 2
f(-4) = -14
f(0) = 3(0) - 2
f(0) = 0 - 2
f(0) = -2
f(4) = 3(4) - 2
f(4) = 12 - 2
f(4) = 10
Best of Luck!
Answer:
{-14, -2, 10 }
Step-by-step explanation:
how to describe transformation
QUESTION OF THE DAY: Judy is recreating a small version of the Statue of Liberty out of clay. The scale for the statue is 3 inches to 100 feet. If the actual height of the statue is 305 feet, what would the height of the model be in inches?
Answer:
184in
Step-by-step explanation:
Since the scale for the statue is 3 inches to 100 feet, we can say 3:100 as a ratio.
To find approximately 305 feet you must divide 305 by 100.
100 can go into 300 evenly 3 times. Since the ratio is 3:100 you should multiply how many times the 100ft fit into the 300ft and the 3in (3 x 3) which is about 9in.
One way we can do this is to divide the hight of the Statue by the model height:
305ft 20in = 15.25ft 1in or 184in (12in per foot).
And so for every inch of the model, it represents 15.25 feet.
For 305 it would be
Choose the value of x for f(x)= x^2-3x when f(x) = 10.
Answer:
f(10)=70
Step-by-step explanation:
[tex]f(x)=x^{2} -3x\\f(10)=10^{2} -3(10)\\f(10)=100-30=70[/tex]
solve for x 5x+2=17x-16
Answer:
x=1.5
Step-by-step explanation:
Answer: x = 18/12 or 3/2
Step-by-step explanation:
5x + 2 = 17x - 16
2 = 12x - 16
18 = 12x
18/12 = x
I NEED HELP THIS IS MISSING I GIVE BRAINLIEST only if you are right tho
Answer:
I thinks its negative
Step-by-step explanation:
because since there is more neagitive that positive it will be neagitive
Help me this is so hard I’ll give u brainlist
Answer:
I'm sorry, I speak Spanish, forgive me
2x-3=x+1
Show the work on what x is
Answer:
x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−3=x+1
Step 1: Subtract x from both sides.
2x−3−x=x+1−x
x−3=1
Step 2: Add 3 to both sides.
x−3+3=1+3
x=4
Answer:
x=4
2x - 1x = x
x-3= 1
3+1 =4
so x=4
[6×(4−2)+(21×23+1)]÷32
Answer:
Step-by-step explanation:
15.5
Answer:
15.5 is your answer. can I solve. for these u say yes or no
1. What is 7.11 divided by 1.5?
A. 47.4 B. 4.74 C. 4.75 D. 47.5
2. What is the quotient when you divide 0.6 by 0.2?
A. 0.4 B. 30 C. 4 D. 3
3. Find the quotient: 29.58 ÷ 3.4= n.
A. 0.87 B. 8.7 C. 87 D. 9.7
4. What is the result when you divide 11.52 by 1.92?
A. 6.3 B. 5.8 C. 6 D. 4.2
5. What is 128.43 divided by 85.62?
A. 15 B. 1.5 C. 16 D. 1.6
6. Find the quotient: 1,271.82 ÷ 10.34= n
A. 12.3 B. 12.4 C. 123 D. 124
7. Which of the following number sentence has a quotient of 80?
A. .24 ÷ 3=N C. .024 ÷ .003=N
B. .024 ÷ 0.3=N D. 2.4 ÷ .03=N
8. Which of the following equations answers to 4.74?
A. 71.1 ÷ 1.5=N C. 7.11 ÷ .15=N
B. 7.11÷ 1.5=N D. 71.1 ÷ .15=N
9. What is the quotient when you divide 800.7 by 31.4? _______
10. What is 320.04 divided by 12.6?____________
Answers:
1. B. 4.74
2. D. 3
3. B. 8.7
4. C. 6
5. B. 1.5
6. C. 123
7. D. 2.4/.03=N
8. B. 7.11/1.5=N
9. The quotient is 25.5
10. 320.04 divided by 12.6 leads to a quotient of 25.4.
Explanation:
The calculator never lies. Oh, and also, you can tell the answer to seven and eight by where the decimal points are located.
PLEASE HELP!! 15 POINTS AND BRAINLIEST !!
Answer:
40 degrees
Step-by-step explanation:
We need to find angle 3
Since angle 2 and angle 4 are vertical angles, they will be congruent
To solve for x we can make the following equation:
x+70=2x
x=70
In this problem angles 2 and 3 are supplementary (they add to 180)
Angle 2 is 140 degrees
We can now make the following equation to find angle 3 using measures addition postulate
let angle 3 be x
180-140=x
The 140 is angle 2
x=40
Can a linear function ever be even
or odd?
Can an exponential function ever be
even or odd?
Answer:
The exponential function x is neither. An exponential function is a sum of an even and an odd fuction. The even fuction is known as even x and odd function is known as x. the x is even function and sinx is odd function.
But thats if its an x funtion so uf its just a plain function its known to be even!
Step-by-step explanation:
Hopefully this helped, if not HMu and I will try my best to get you a better answer!
x(4- k) = p
solve for k
Answer:
Answer
3.0/5
10
FluttershyK22
x(4-k)=p
[x(4-k)=p]/x
4-k=p/x
-4 = -4
-k=p/x-4
k=4-p/x
Step-by-step explanation:
Answer:
k = - 4 + p
Step-by-step explanation:
p = x ( 4 - k )
p = 4x - kx
-4x -4x
4x - p = - kx
divide by -x
-k = 4 - p
divide by -
k = - 4 + p
Hope this helps!!!
+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.
Answer:
Step-by-step explanation:
Given:
AB ≅ AD
AC ⊥ BD
To Prove:
ΔBAE ≅ ΔDAE
Statements Reasons
1). AB ≅ AD and AC ⊥ BD 1). Given
2). AE ≅ AE 2). Reflexive property
3). ΔBAE ≅ ΔDAE 3). HL postulate of congruence
.Which is larger? ½ of 280or⅜ of 400
Answer:
3/8 of 400
Step-by-step explanation:
3/8 of 400 is 150 while 1/2 of 280 is 140