Answer:
140 - 9 (12) + 3
140 - 108 +3
140 - 111
= 29
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
Answer:
h= -20
t = -0.104 and -2.39s
Step-by-step explanation:
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
The velocity of the body at its maximum height is zero
V= dh/dt
dh/dt = 32t + 40
0 = 32t+40
-32t = 40
t = 40/-32
t = -1.25s
Substitute t = -1.25 into the expression
h(t)=16t^2+40t+4.
h(-1.25)=16(-1.25)^2+40(-1.25)t+4.
h = 16(1.5625)-50+5
h = 25-45
h =-20
Hence the maximums height is -20m
The ball will reach the ground at h = 0
Substitute
h(t)=16t^2+40t+4.
0 = 16t^2+40t+4
Divide through by 4
0 = 4t²+10t+1
Factorize
-10±√10²-4(4)/2(4)
t = -10±√100-16/8
t = -10±√84/8
t =-10+9.17/8
t = -0.83/8 and -19.17/8
t = -0.104 and -2.39s
Dhdgxgxgxg g g gg gxxgdgd
Answer:
B
Step-by-step explanation:
4:6 = 2:3
2:3 = 2:3
8:12 = 2:3
4:5 = 4:4
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
-7
3
0
4
Answer:
-7
Step-by-step explanation:
The y intercept of a line is the y value of the line when the x value = 0
In this case we are given the coordinates (0, -7)
so when x =0 y= -7
Therefore, the y- intercept is -7
Answer:
-7
Step-by-step explanation:
The y intercept of a line is the y value of the line when the x value = 0
In this case we are given the coordinates (0, -7)
so when x =0 y= -7
Therefore, the y- intercept is -7
The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1.5 oz. Using the empirical rule, determine what interval would represent weights of the middle 99.7% of all oranges from this orchard.
Answer:
(3.5, 9.5)
Step-by-step explanation:
μ=6.5
σ=1
Which expression is equal to 6^4? 10
24
4^6
6⋅6⋅6⋅6
Answer:
6⋅6⋅6⋅6
Explanation: The exponent refers to the number of times a number is multiplied by itself. 6^4 represents that 6 is being multiplied 4 times.
[tex]6^{4}[/tex]
Base ⇒ 6
Exponent ⇒ 4
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
the answer should be y = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
x = -2 5 -1
x + 2 = 0
x - 5 = 0
x + 1 = 0
f(x) = (x + 2) (x + 1)
x(x) + 2(x) + x(1) + 2(1)
x^2 + 2x + x + 2
x^2 + 3x + 2
f(x) = (x^2 + 3x + 2) ( x - 5)
x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)
x^3 + 3x^2 + 2x - 5x^2 - 15x - 10
x^3 - 2x^2 - 13x - 10
f(x) = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
this is your answered give me point
The ratio of pens to pencils is 5 to 4. If there are 25 pencils, how many pens are there?
Answer: 20 pens
5x5=25
5x4=20
93% marked up 35? i need it like nowwwww
Answer:
How do you calculate a 35% markup?
Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.
which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]
Answer:
sry I can't understand how to do this question
Which ratio forms a proportion with 1442? Bruh I will give y’all points and brainlesst
Answer:
7/21
Step-by-step explanation:
14/42 is 7/21 in another form
You uncle wants the ratio of flowers and vegetables
planted his garden to be 3 flowers: 4 vegetables. He
has space for 91 plants. How many flowers should he
plant?
Answer:
39 flowers
Step-by-step explanation:
there are 7 parts
1 part is 13
3 parts is 39
What is the slope of the line that passes through the points
(8,−4) and (6,2)? Write your answer in simplest form.
Answer: -3
Step-by-step explanation:
(this is just my way):
1. First create an equation: 2-(-4) over 6-8
2. Simplify: 6/-2 => -3
Tada, you already go your slope
Have a nice day :)
How to find the discount
The ratio of cherry candies to grape candies in a bag is 3:5. After your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. How many candies are left in the bag?
Answer:
65
Step-by-step explanation:
I'm not completely sure if this is correct but this is what I got:
cherry candies: c ; grape candies: g
the ratio of the cherry candies to the grape candies is 3:5 so c/g=3/5 so c=3/5g
when you eat 1 cherry candy and half of the grape candies the ratio becomes (c-1)/(g/2)=7/6
I used substitution so now it becomes (3/5g-1)/(g/2)=7/6 if you solve this g will equal to 60. This number means that there was 60 grape candies originally. With this, you can solve for the number of cherry candies that you originally had (which is 36 because the ratio is 3:5)
so now you halve the number of grape candies which is 30 and take one off from the cherry candies which is now 35 (cherry:grape = 7:6 = 35:30)
there are now 65 candies altogether
A ratio shows us the number of times a number contains another number. The total number of candies that are left in the bag is 65.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of cherry candies to grape candies in a bag is 3:5. Therefore, we can write the ratio of the cherry to grapes as,
Cherry / grapes = 3/5
Multiply both the numerator and the denominator of the ratio with x,
Cherry / grapes = 3x/5x
Therefore, the number of Cherry and grapes in the initial was 3x and 5x, respectively.
Further, it is given that your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. Therefore, we can write the ratio as,
[tex]\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7}{6}[/tex]
Now, to get the real numbers we can write,
[tex]\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7}{6} \times \dfrac{y}{y}\\\\\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7y}{6y}[/tex]
Thus, we got two equations,
3x - 1 = 7y
5x/2 = 6y
Solving the second equation for x,
5x/2 = 6y
5x = 12y
x = 12y/5
Substitute the value of x in the first equation,
3x - 1 = 7y
3(12y/5) - 1 = 7y
y = 5
Furthermore, the total number of candies can be written as,
6y + 7y
= 6(5) + 7(5)
= 30 + 35
= 65
Hence, the total number of candies that are left in the bag is 65.
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Mae Ling earns a weekly salary of $390 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,300 worth of merchandise?
Answer:
She would make $734 in a work week if she sold $4,300 worth of merchandise.
Step-by-step explanation:
First, you should calculate the amount she would receive on comissions by multiplying the amount she sold for 8%:
$4,300*8%=$344
Now, you have to add the weekly salary plus the amount she receives for the comission on sales:
$390+$344=$734
According to this, the answer is that she would make $734 in a work week if she sold $4,300 worth of merchandise.
nnjcvhjyhufghughjexcvbh
Answer:
hold on what I can't see that sorry it's really blur
Please answer I will mark branliest
Answer:
C
Step-by-step explanation:
To find the volume of a cube, raise the value of one side to the third power. 2.5 centimeters to the third power is 15.625, which can also be expressed as the fraction 125/8
Answer: choice C
Step-by-step explanation:
Since V = s^3
And side length = 2.5
V = (2.5)^3
V = 15.625
V = 125/8 cm^3
Original price $3:29;markdown 35%
What the value please help me
Answer:
2.94
Step-by-step explanation:
3.29 - 35/100 = 2.94
You estimate that a jar contains 98 marbles. The actual number of marbles is 90. Find a percent of error.
Answer:
It might be 8.8889% (Not completely sure)
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 67^\circ67
∘
67, degrees.
What is the measure of \angle b∠bangle, b?
Answer:
Assuming the question is asking for angle B, it measures 23°
Step-by-step explanation:
If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.
angle A + angle B = 90°
67° + Angle B = 90°
Angle B = 23°
Answer:
68
Step-by-step explanation:
right on khan
Find the length of AC.
a. 10.1
b. 10.0
c. 10.9
d. 8.86
PLEASE HELPPP ASAP
Answer:
Option D
Step-by-step explanation:
According to law of cosines =
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc. \cos(A) [/tex]
where 'a' is the uknown side , 'b' & 'c' are the given sides and angleA is the angle opposite to the uknown side i.e. opposite to 'a'.
Using the Law of cosines , we'll find the length of AC .
[tex] {ac}^{2} = {7}^{2} + {13}^{2} - 2 \times 7 \times 13 \times \cos(50) [/tex]
[tex] = > {ac}^{2} = 49 + 169 - 182 \times 0.76[/tex]
[tex] = > {ac}^{2} = 218 - 138.8 = 79.68[/tex]
[tex] = > ac = \sqrt{79.68} = 8.92 = 9(appx)[/tex]
In option D , if we'll round of 8.86 , then its appx 9. So option D is right
HELP 50 PTS
(a) Write the expression in expanded form. log(7x^3/z)
(b) Write the expanded form as a simplified single log. 3log(5) + 2log(x) – log(25)
Step-by-step explanation:
log(7x³/z) = log(7) + log(x³) - log(z).
3log(5) + 2log(x) - log(25) = log(125) + log(x²) - log(25) = log(125x²/25) = log(5x²).
When the U.S. government needed 10,000 rifles for the army, Eli Whitney applied for the contract. He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. What did he demonstrate
Answer:
interchangeable parts.
Step-by-step explanation:
Eli Whitney here demonstrates interchangeable parts.He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. popularized in America when Eli Whitney used them to assemble muskets in the first years of the 19th century, allowed comparatively unskilled workers to manufacture vast quantities of arms rapidly and at lower expense, and made repair and replacement of parts exponentially simpler.
Find the area of this isosceles trapezoid.
Answer:
431
Step-by-step explanation:
Solve for X:
Need help ASAP
Answer:
x = 20°
Step-by-step explanation:
So basically, since the 2 values are on the opposite side of an "x," you just set the 2 values each to each other and solve for x.
6x - 20 = 100
+20 +20
6x = 120
÷6 ÷6
x = 20
10 points
3. What is the slope of the line that passes through the points (2,6) and
(-2,5) ?
O A. undefined
O B. Zero
Oc. 114
OD. -1/4
Answer:
I think u kept option incorrect but the correct answer is 1/4
-write each product using an exponent 6 x 6 =
The product is expressed as an exponent as 6 x 6 = 6².
Given data:
To write the product 6 x 6 using an exponent, we can express it as 6².
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
When we multiply a number by itself, we can represent the repeated multiplication using an exponent. In this case, we have 6 multiplied by 6, which is the same as saying 6 raised to the power of 2 (6²).
The exponent 2 indicates that we are multiplying 6 by itself 2 times.
Hence, the product 6 x 6 can be written as 6².
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Mrs. Johnson borrows $1400 with an interest rate of 5.5%. How much interest does she pay if she pays off the debt in 8 months?
Answer:
$616 in debt
Step-by-step explanation:
5.5% is equal to 0.055 so you multiply that by $1400 to get $77.
$77 is the interest rate.
You then multiply $77 by 8 months.
Please help me out!!!!!
Answer:
Option (5)
Step-by-step explanation:
f(x) is a function with the degree of 3, having zeros as x = 2, 2t, -2t
And f(1) = -15
Option (1)
f(x) = 2x³- 2x² + 2x - 30
f(1) = 2(1)³ - 2(1)² + 2(1) - 30
= 2 - 2 + 2 - 30
= -28 ≠ -15
Therefore, Option (1) is not the answer.
Option (2)
f(x) = 2x³ + 2x² + 2x - 30
f(1) = 2(1)³ + 2(1)² + 2(1) - 30
= 2 + 2 + 2 - 30
= 6 - 30
= -24 ≠ -15
Therefore, Option (2) is not the answer.
Option (3)
f(x) = 3x³ - 6x² + 12x - 12
f(1) = 3(1)³ - 6(1)² + 12(1) - 12
= 3 - 6
= -3 ≠ -15
Therefore, Option (3) is not the answer.
Option(4)
f(x) = 48x³- 9x² + 12x - 24
f(1) = 48(1)³ - 9(1)² + 12(1) - 24
= 48 - 9 + 12 - 24
= 27 ≠ -15
Therefore, Option (4) is not the answer.
Option (5)
f(x) = 3x³- 6x² + 12x - 24
f(1) = 3(1)³- 6(1)² + 12(1) - 24
= 3 - 6 + 12 - 24
= -15
Therefore, Option (5) is the correct option.
HELP PLEASE MATH WILL GIVE BRAINLIST
Answer:
y=1/3x
Step-by-step explanation:
the third one
