Answer:
h = 24.25 feet
Step-by-step explanation:
Xavier shoots a basketball in which the height, in feet, is modeled by the equation.
[tex]h(t) = -4t^2+10t +18[/tex] ....(1)
For maximum height,
Put dh/dt=0
So,
[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(-4t^2+10t +18)\\\\=-8t+10[/tex]
So,
-8t = -10
t =1.25s
Put t = 1.25 s in equation (1)
[tex]h(t) = -4(1.25)^2+10(1.25) +18\\\\=24.25\ feet[/tex]
So, the maximum height of the basketball is equal to 24.25 feet.
Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise?
Answer:
712
Step-by-step explanation:
400+6.5%of 4800
312+400=712
Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart
Answer:
1200cm
Step-by-step explanation:
Given data
We know that 1meter is equivalent to 100cm
i,.e 1*100
so, if height is 1.2meters
Height in centimeters is 1.2*100
Hence height in centimeters is 1200cm
5
8
y
Find the exact value of y.
y =
Answer:
[tex]y=2\sqrt{10}[/tex]
Step-by-step explanation:
By applying geometric mean theorem in the given right angle,
[tex]\frac{AD}{DB}=\frac{DB}{CD}[/tex]
By substituting values in the given ratio,
[tex]\frac{5}{y}= \frac{y}{8}[/tex]
[tex]y^2=8\times 5[/tex]
[tex]y^2=40[/tex]
[tex]y=2\sqrt{10}[/tex]
Exact value of y is [tex]2\sqrt{10}[/tex].
please help i have no clue what i’m doing
Answer:
x = 24
x = 20
Step-by-step explanation:
x/3 - 2 = 6
Add 2 to both sides
x/3 = 8
multiply both sides by 3
x = 24
-----------------------------
x/5 +1 = 5
Subtract 1 from both sides
x/5 = 4
multiply both sides by 5
x = 20
Answer:
1. add two both sides and then multiply by 3 each side to get to the answer of 24.
Check: 24/3 = 8 - 2 = 6
2. x/5 + 1 = 5
subtract 1 from each side and then multiply by 4 on each side to get to the result of 20.
check: 20/5 is 4 + 1 = 5
Brainlist please :)
Properties of Logarithms pls help me with this?
Answer:
log 18= 2.0850
1.2925+0.7925= 2.085
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
Divide. (ASAP PLEASE)
[tex]30 )869[/tex]
Enter the number that belongs in the green box.
Answer:
0.034522 (for decimal)
Step-by-step explanation:
What is the measure of the sides of a square with an area of 49 inches
Someone please answer fast ❤️
Answer:
7 inches
Step-by-step explanation:
area of square=l^2
49=l^2
[tex]\sqrt{49[/tex]=l
7=l
therefore the sides of a triangle is 7 inches.
Answer:
7
Step-by-step explanation:
So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!
Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.
a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?
b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?
Answer:
Es ydjwj rjsbt djeiweke
what is the area of the figure below?
Answer:
61
Step-by-step explanation:
draw the graph of the equation 3x-4y=12 from the graph find the value of y when x= 8
Answer:
y = 3
Step-by-step explanation:
3x - 4y = 12
3(8) - 4y = 12
24 - 4y = 12
- 4y + 24 = 12
- 4y + 24 - 24 = 12 - 24
- 4y = - 12
- 4y ÷ - 4 = - 12 ÷ - 4
y = 3
Slope: [tex]\frac{3}{4}[/tex]
y - intercept: (0, - 3)
Green Red Blue Yellow
Event A: lands on yellow.
Event B: lands on green.
Events A and B are_______ events.
Answer:
independent
Step-by-step explanation:
Answer:
Disjointed
disjointed events: events that have no outcomes in common
so that's why it is disjointed
Tanya has 130 ml of juice
Answer:
The answer is below
Step-by-step explanation:
A drink is made by adding water to juice.
Instructions
Add an amount of water that is between 3 times and 5 times the amount of juice
Tanya has 130 ml of juice.
If she follows the instructions, work out the minimum and maximum amounts
of the drink she can make.
Solution:
The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:
Minimum amount of water = 3 * 130 ml of juice = 390 ml of water
Therefore minimum amount of drink = 390 ml of water + 130 ml of juice
minimum amount of drink = 520 ml
The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:
Maximum amount of water = 5 * 130 ml of juice = 650 ml of water
Therefore maximum amount of drink = 650 ml of water + 130 ml of juice
Maximum amount of drink = 780 ml
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1.009, 1.09, 1.7, 1.7082
Step-by-step explanation:
hope this helped.
The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.
Answer:
S(t) = 1000(0.729)^t
Step-by-step explanation:
S(t) = 1000(0.9)^(3t)
S(t) = 1000((.09)^(3))^t
S(t) = 1000(0.729)^t
Bryon is solving the equation 22 - 6x = 15. He gets to 7 = 62. Is this a valid way to solve the equation?
Answer:
No
Step-by-step explanation:
22 - 6x = 15
subtract 22 from both sides
-6x = -7
divide both sides by -6
x = 7/6 or 1 1/6
if 5x-26=x+50, then what is the value of x
Answer:
x = 19
Step-by-step explanation:
5x - 26 = x + 50
Subtract x on both sides of the equation.
4x - 26 = 50
Add 26 on both sides.
4x = 76
Now, divide by 4 on both sides.
x = 19
Answer:
x = 19
Step-by-step explanation:
5x-26=x+50
5x = 76 +x
4x = 76
x = 19
n3=8/125 for n n= ???
Answer:
2/25
Step-by-step explanation:
[tex]n^3 = \frac{8}{125}[/tex]
[tex]n^3 = (\frac{2}{5})^3[/tex]
[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]
[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]
[tex]n = \frac{2}{25}[/tex]
Which two angles below are complementary?
Answer:
1° and 89°
Step-by-step explanation:
They add up to 90°
Hope this helps! :)
Help on this too Guys
Answer:
radius is 6 diameter is 2 don't know the other one tho
Assume that AABC= APQR. Which of the following congruence statements
are correct? Check all that apply.
U
A. ACS PQ
B. ZREZC
C. BC = PQ
D. ZB=
U
E. BC = QR
O F. ZA= 20
Answer:
Options B, D, E
Step-by-step explanation:
If triangle ABC and triangle PQR are congruent,
∠A ≅ ∠P
∠B ≅ ∠Q
∠C ≅ ∠R
AB ≅ PQ
BC ≅ QR
AC ≅ PR
Therefore, Options B, D, E are the correct options.
Which expression is equivalent to 44+100 as the product of GCF and sum?
A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)
*explain how you got the answer!*
Answer:
C.
Step-by-step explanation:
First you solve the bracket...
(22+50)= 72
72×2=144
Answer:
the answer is D because it has to greatest factor
A (5(8+20)=40+100
B (4(40+96)=160+384
C (2(22+50)=44+100
D (4(11+25)=44+100
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!
Answers:
[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
=============================================
Explanation:
Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]
The vertical side is [tex]\sqrt{33}[/tex] units long.
------------------------------------
The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)
The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.
Divide the hypotenuse over opposite to get the cosecant.
[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]
Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.
------------------------------------
Recall that sine is the reciprocal of cosecant, and vice versa.
So we'll use the same idea as before, but flip the original fraction.
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]
The denominator is already a rational number, so there's not much else to do here.
--------------------------------------
Cotangent is the ratio of adjacent over opposite
[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).
what is the correct measure of m? 15, 5, n, m
Answer:
subtract 5 , m=(-15)
Step-by-step explanation:
15-5
=10
n:
5-10
=(-5)
m:
(-5)-10
=(-15)
hope it help
Calculate the volume of this planter box in cubic centimeters.
If there are four of these planter boxes, would they fit in a 1 square meter area near the back
door? Show calculations to explain your answer.
(Pictures Attached)
Answer:
V=786,240cm³
Step-by-step explanation:
Volume=Length × base × height
v= 52cm×42cm×360cm
Evaluate 10% of 5000
Answer:
500
Step-by-step explanation:
that is the procedure above
Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8
Answer:
[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]
Step-by-step explanation:
Given
[tex]x \to[/tex] element of natural number
[tex]x \to[/tex] multiple of 8
Required
Express in roster form
[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......
[tex]Natural[/tex] [tex]numbers[/tex] that are multiples of 8 are 8, 16, 24, 32, 40, ......
So, the set in roster form is:
[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]
please help me I will mark as a brainliest
Answer:
think that this might help you
Hi can someone please help me with this thanks