Answer: Choice D. P = i/rt
This is the same as saying P = i/(rt). The parenthesis are preferred in my opinion to indicate we have rt in the denominator and not just r.
======================================
Explanation:
In the original equation, prt is the same as p*r*t. So we multiply p, r and t to get prt.
This can be thought of as p*(rt). To isolate p, we undo the multiplication done to the variable p. We will divide both sides by rt to get
i = prt
i = p*(rt)
i/(rt) = p*(rt)/(rt) ... dividing both sides by rt
i/(rt) = p
p = i/(rt)
x³ + y³ = 152. find x and y
Answer:
x=5, y=3
Step-by-step explanation:
5^3=125
3^3=27
125+27=152
Answer:
x=5, y=3
Step-by-step explanation:
13= -2(x+1) + 7x solve for x
Answer:
x=3
Step-by-step explanation:
13= -2 (x+1) +7x (given)
13+-2x - 2 +7x (distributive property of multiplication over addition)
13 + 5x -2 (combine like terms)
15 = 5x (addition property of equality)
3 = x (division property of equality)
Step-by-step explanation:
13=-2x-2+7x
15=5x
x=3
please mark it as brainliast
(2,-1) and (4,0) in slope-intercept form
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (4, 0)
m = [tex]\frac{0+1}{4-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 0 ), then
0 = 2 + c ⇒ c = 0 - 2 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
4 27/125 write it as a decimal and use repeating decimals if necessary
PLEASE HELP WITH THIS PROBLEM!!!
Answer:
-4.2 would be second.
Step-by-step explanation:
53% is .53
3/5 is .60
-4.2 is, well, -4.2
-√11 is -3.31
And -30/7 is -4.28571...
From least to greatest, it would be -30/7, -4.2, -√11, 53%, then 3/5
I hope I helped!
10
The total cost of renting a boat is determined by the number of days a boat is rented,
at $55 per hour, and the number of miles it is driven, at $0.10 per mile. The company
uses the expression 55% +0.10y to evaluate the total cost of renting a boat. What does
the variable y represent?
A the total number of hours rented
B the total number of miles driven
the total amount charged per rental hour
D the total amount charged per mile driven
<
Answer:
B
Step-by-step explanation:
2. Mourette is a member of her high school golf team. She hits a golf ball
off the ground with an initial upward velocity of 60 meters per second.
a. Write a formula describing the height h of the ball (in meters)
after t seconds.
b. After how many seconds, to the nearest tenth, will the
golf ball land on the ground?
c. What is the maximum height the golf ball reaches?
please help!
Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
1-x=16-4x EXPLAIN IN NUMBER FORM NOO WORDS
Answer:
x = 5
Step-by-step explanation:
1-x+4x=16
1 + 3x = 16
3x = 16 - 1
3x = 15
3x/3 = 15/3
x = 15/3
x = 5
10 POINTS A rectangular window has a width of 12 ft and a length of x ft. Which expression represents the perimeter of the window?
x+12
2x+12
2(x+24)
2x+24
An photo studio is going to display a portrait in their lobby. The portrait is being reproduced from a photo with dimensions 6 inches by 3 inches. If the dimensions of the portrait in the lobby are 20 times the dimensions of the original photo, determine the area of the portrait in square feet.
a.
7,200 ft2
b.
50 ft
c.
300 ft
d.
200 ft
Answer:
300ft
Step-by-step explanation:
A triangle with one obtuse angle must also have two acute angles
Answer:
True! All triangle angles must add up to 180 degrees, thus an angle greater than 90 degrees would only give the rest of the angles 90 degrees to work with, which would make them acute.
Step-by-step explanation:
hope this helps :)
find AB. i’m literally so dumb i don’t know math
Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
= Knowledge Check
Question 4
Find the slope of the line passing through the points (3, 8) and (7, - 7).
0 0
Undefined
Х
?
Answer:
Slope is -3.
Step-by-step explanation:
The equation to get the slope is y2-y1/x2-x1. So, plug in the points to the equation. -7-8/7-3 = -15/5 = -3/1 = -3.
The height of a triangular sail is 2 meters less
than twice the length of the base. If the sail
has an area of 30 square meters, find the
length of its base and the height.
Pleas provide quadratic Formula
Answer:
Step-by-step explanation:
Area=1/2(bh)
b=x
height=2x-2, units meters
30=(1/2)bh
60=bh=x(2x-2)
2x^2-2x=60
2x^2-2x-60=0
x^2-x-30=0
(x-6)(x+5)=30
x=6 as only positive root.
2x-2=10
Their product is 60 m^2, half of which is 30 m^2
The base is 6 m; the height is 10 m.
Multiply the binomials:
(x + 2) • (3x + 1)
Answer:
Step-by-step explanation:
3x^2 + x + 6x + 2
3x^2 + 7x + 2
Answer:
3x^2 + 7x + 2
Step-by-step explanation:
(x+2) (3x+1)
(x+2) (3x) + (x+2) (1)
3x^2+ 6x + x + 2
3x^2 + 7x + 2
marys father bought a chair. the list price was $50, but he received a 30% disount. how much did the chair cost? thank you in advance:)
Answer:
15$
Step-by-step explanation:
Step 1: First determine the value of the whole amount, which is 50.
Step 2: Determine the percentage, which is 30.
Step 3: Convert the percentage 30% to its decimal form by dividing 30 into 100 to get the decimal number 0.3:
30/100 = 0.3
(Dividing into 100 is the same as moving the decimal point two places to the left.)
30.0 → 3.00 → 0.30
Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:
0.3 x 50 = 15 (answer).
Hope this helps.
The answer to the problem is $35
How to find the percentage of a number?Finding the percentage of a number 'n', we have to multiply it by the percentage to be found divided by 100, so for example, 20% of n is equal to 0.2n.
What is the discount?The discount percentage is the amount that we do not have to pay and hence we subtract the percentage of the discount while paying.
The solution to the problem.The discount percentage is 30%
The total price is $50, hence 30% of 50 is 0.3*50=15
So there is a discount of $15, hence the cost of a chair after the discount will be 50-15 = 35
Hence, Mary's father bought the chair for the price of 35$
Learn more about Percentage here
https://brainly.com/question/27855621
#SPJ2
Which figure is described below?
The points in a plane 4 units
from PQ.
A. 2 lines
B. ray
C. sphere
D. line
i need help look at pic
Answer:
19,181 ice cream cones
Step-by-step explanation:
25,037
- 5,856
_______
i think this is what theyre asking. if needed, divide answer by 49 (the other states) which is about 391 cones
Draw a right triangle with one leg value is 4 and the other leg value is 3. Use the triangle to find the exact values of the six trigonometric functions of
Step-by-step explanation:
Draw a right triangle with one leg value is 4 and the other leg value is 3
The triangle is attached below
To find hypotenuse , use Pythagorean theorem
[tex]c^{2} =a^{2} +b^{2} \\c^{2} =3^{2} +4^{2} \\\\c^{2} =25 \\\\c=\sqrt{25} =5[/tex]
opposite side = 4, adjacent side =3 and hypotenuse = 5
Apply trigonometric ratios
[tex]sin(A)=\frac{opposite}{hypotenuse}=\frac{4}{5}[/tex]
[tex]cos(A)=\frac{adjacent}{hypotenuse}=\frac{3}{5}[/tex]
[tex]tan(A)=\frac{opposite}{adjacent}=\frac{4}{3}[/tex]
[tex]cosec(A)=\frac{hypotenuse}{opposite}=\frac{5}{4}[/tex]
[tex]sec(A)=\frac{hypotenuse}{adjacent}=\frac{5}{3}[/tex]
[tex]cot(A)=\frac{adjacent}{opposite}=\frac{3}{4}[/tex]
May someone please answer this question fast? :3
Answer:
3*3*3*3*3
Step-by-step explanation:
exponents are how many times a number is multipleid by iteself
Answer:
3*3*3*3*3 = 243
Caleb and Sarah are having a Halloween
party. They have pounds of candy to divide
into 16 goodie bags. How much candy will be in
each bag?
Answer:
8 ig
Step-by-step explanation:
u didnt tell us how much pounds they have
The situation that is best modeled by a discrete graph is the daily records of the distance of each hotel from home during a cross-country trip. the height of a wave over time. the speed of a motorcycle over the distance it travels. the body temperature of an athlete during a workout.
Answer:A
Step-by-step explanation: the other dude is wrong
and if im right mark me brainiest
The best modeled by a discrete graph is body temperature of an athlete during a workout.
The correct option is (D)
What is Discrete graph?A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.
A continuous graph has a line because there is data in between the points already given.
So, according to the condition the best modeled discrete graph is body temperature of an athlete during a workout.
This is because for the body temperature measure, we only need to measure it once in a while.
Learn more about graph here:
https://brainly.com/question/16608196
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(HELP ASAP) In basketball tournament, Kayla averaged 12.375 rebounds per game. What is 12.375 written in expanded form?
Which expression has the same value as tan(-45°)?
-tan(45°)
-cot(135°)
-sin(270°)
-cos(180°)
Answer:
I think it's cot(135°)
Step-by-step explanation:
Cot 135° = Cot (π/2 + 45)
and,
Cot (π/2+45)= -tan (45),
because when a trigonometric ratio is impressed by using π/2 the ratio should be changed its opposite like sin value turns into a cos value, tan value turns into cot and vise versa. Then as 135° is in the second sector that means π/2<135°<π. So it should be -tan(45°)
As tan-45°= -tan 45° i think the answer is second one aka cot(135°)
The equivalent expression of tan(-45) is cot(135)
The given trigonometric expression is: tan(-45).
To do this, we make use of the following trigonometry ratio
[tex]\cot (\frac{\pi}{2}+\theta)= -\tan (\theta)[/tex]
Substitute 45 for [tex]\theta[/tex].
So, we have:
[tex]\cot (\frac{\pi}{2}+45)= -\tan (45)[/tex]
In trigonometry, [tex]\frac{\pi}{2} = 90[/tex].
So, we have:
[tex]\cot (90+45)= -\tan (45)[/tex]
Add 90 and 45
[tex]\cot (135)= -\tan (45)[/tex]
Also, we have:
[tex]\tan (-45)= -\tan (45)[/tex]
So, the equation becomes
[tex]\cot (135)= \tan (-45)[/tex]
Rewrite as:
[tex]\tan (-45) = \cot (135)[/tex]
Hence, the equivalent expression of tan(-45) is cot(135)
Read more about trigonometry equivalent expressions at:
https://brainly.com/question/4515552
answer attachment below EASY POINTS
The length of a rectangle is twice the width.The perimeter of the rectangle is 24.What is the value of the width?
Hope it helped
Thank YouSelect the correct answer.
Rewrite the polynomial 6x4 + 24x3 - 72x2 by factoring out the GCF.
6x2(x2 + 4x - 12)
6x2(x3 + 6x - 12)
6x(x² + 4x - 12)
6x(x3 + 6x - 12)
Answer:
C. 6x(x² + 4x - 12)
Step-by-step explanation:
Factor [tex]6x^{2}[/tex] out of [tex]6x^{4}[/tex]
[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] + [tex]24x^{3} - 72x^{2}[/tex]
[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) [tex]-72x^{2}[/tex]
[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) + [tex]6x^2[/tex] (-12)
[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex]) + [tex]6x^{2}[/tex] (-12)
[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex] - 12 )
what is the the highest common factor of -15x^2 -20x
Answer:
-5x
Step-by-step explanation:
HELP!!!!
Help me please !!!!
Answer:
I think the answer is C but i'm not an expert with this so sorry if you get it wrong :(
Step-by-step explanation:
Answer:
I think is c but I'm not really sure
in 30 minutes a shark can swim 4000 feet. About how fast in miles per hour does the shark swim?
Answer:1.515152
Step-by-step explanation:
1000/30 = 133.3 per min
133.3x60
=8000ft to miles
=1.515152 mph
