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
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
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
Properties of Logarithms pls help me with this?
Answer:
log 18= 2.0850
1.2925+0.7925= 2.085
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
Which two angles below are complementary?
Answer:
1° and 89°
Step-by-step explanation:
They add up to 90°
Hope this helps! :)
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]
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
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!
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:
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
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].
what is the area of the figure below?
Answer:
61
Step-by-step explanation:
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
Evaluate 10% of 5000
Answer:
500
Step-by-step explanation:
that is the procedure above
Hi can someone please help me with this thanks
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
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.
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
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
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).
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
Help on this too Guys
Answer:
radius is 6 diameter is 2 don't know the other one tho
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
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
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1.009, 1.09, 1.7, 1.7082
Step-by-step explanation:
hope this helped.
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)
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 :)