Answer:
[tex]T = \frac{I}{PR}[/tex]
Step-by-step explanation:
Given
[tex]I = PRT[/tex]
What the question implies is that, we make T the subject of formula.
In other words, solve for T
We have that:
[tex]I = PRT[/tex]
Divide both sides by PR
[tex]\frac{I}{PR} = \frac{PRT}{PR}[/tex]
[tex]\frac{I}{PR} = T[/tex]
Reorder
[tex]T = \frac{I}{PR}[/tex]
NEED HELP NOW One solution to a quadratic equation is x=-5/3 What is true about any remaining solutions? There are no complex solutions. There are no other real solutions. There are two or more complex solutions. There is exactly one complex solution. There is exactly one more real solution. There are at least two more real solutions.
Given:
One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex].
To find:
The true statement about remaining solutions.
Solution:
We know that, number of solution to a quadratic equation is 2.
According to the complex conjugate root theorem, if a complex number x+iy is a root of an equation then its conjugate x-iy is also a root of that equation.
It means, the complex roots are in the pair of two.
Using complex conjugate root theorem, a quadratic equation has either 0 complex roots or 2 complex roots.
One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex], which is real.
There are no complex solutions and there is exactly one more real solution.
Therefore, the correct options are A and E.
When given a table of ordered pairs, you can find the slope by choosing any two ordered pairs from the table. Determine the slope represented in the table below. X Y
5 5
7 3
9 1
11 -1
Answer: The slope is 2/2 aka 1
Step-by-step explanation:
you do
y2 - y1 over x2-x1
Answer:
-1
Step-by-step explanation:
slope formula is y2-y1/x2-x1
3-5/7-5= -2/2=-1
Solve the equation.
54k = 0
A 27
B 1
C 54
D 0
Answer:
D
Step-by-step explanation:
ANY THING X 0 IS 0
Answer:
0
Step-by-step explanation:
zero divide any number is zero
Are they equivalent??
[tex]61 \frac{1}{20} = 61.05[/tex]
A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?
Given :
A 7-inch candle burns at a rate of 2 inches an hour.
To Find :
An equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns.
Solution :
We know, linear equation is given by :
[tex]y = mx + c[/tex]
At x = 0 -> y = 7
So,
7 = m(0) + c
c = 7 .....1 )
At x = 1 -> y = 5
So,
5 = m(1) + c
c + m = 5 .....2 )
Solving equation 1 and 2 , we get :
m = -2 and c = 7
Therefore, equation is given by y = -2x + 7 .
Hence, this is the required solution.
Answer:7–2x
Step-by-step explanation: you are subtracting 7 from 2 hours /x
Review the proof of Cosine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 + cosine theta Over 2 EndFraction EndRoot.
Which step contains an error?
Answer:
Error in step (5)
Step-by-step explanation:
Steps Statements
1 cos(2x) = 2cosx - 1
2 Let (2x) = θ
3 Then x = [tex]\frac{\theta }{2}[/tex]
4 cos(θ) = [tex]2\text{cos}^2{\theta}-1[/tex]
5 cos(θ) + 1 = [tex]2\text{cos}^2{\frac{\theta}{2}}[/tex]
6 [tex]\frac{1+\text{cos}\theta }{2}=cos^{2}\frac{\theta }{2}[/tex]
7 [tex]\text{cos}^{2}\frac{\theta }{2}=\frac{1+\text{cos}\theta }{2}[/tex]
8 [tex]\text{cos}(\frac{\theta }{2})=\pm \sqrt{\frac{1+cos(\theta)}{2} }[/tex]
By comparing the solution given in the picture attached with the solution above,
Step 5 has error.
There should be [cos(θ) + 1 = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]] in place of [-1 + cos(θ) = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]]
Answer:
C. Step five
Step-by-step explanation:
got it right on edge :)
Shawna is going out of town for the day, so she asks a friend to watch her 3 dogs. She wants to 1 leave of a pound of food for each dog. If a can of dog food has 0.75 pounds of food, how many 2 cans should Shawna leave?
Answer:
2
Step-by-step explanation:
if she has 3 dogs and each gets a pound of food. Each can if food has .75 pounds in it then you would times that by then you would get 4 cans of food.
Shawna wants to leave 1 pound of food per dog, and she has 3 dogs. So, she needs 3 pounds of food in total.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A can of dog food has 0.75 pounds of food.
To determine the number of cans of food Shawna should leave, divide the total amount of food she needs (3 pounds) by the amount of food in each can (0.75 pounds).
⇒ 3 pounds / 0.75 pounds/can = 4 cans of food.
Therefore, Shawna should leave 4 cans of food for her 3 dogs.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ5
pleaseee hurrrryyyyy
Each day Mike read 60 pages of a 900 page book. Write a linear equation to represent the number of pages Mike has left to read after X days. Interpret the y-intercept
Equation:
Interpret Y-intercept:
Answer:
y=-60x+900
Step-by-step explanation:
Y= how many pages he has left to read
Answer:
900-60x
Explain:
900 total minus 60 times the amount of days equals the amount of pages left
ANSWER THIS AND YOU GET BRAINLIEST!
Which number is irrational?
7/6
√289
3.3333
√2
Answer:
The correct answer is the square root of 2.
Step-by-step explanation:
Irrational numbers can not be put into fractions, so it is not the first one. 3.3333 is also 3 1/3 and the square root of 289 is rational.
In the next several games, Pedro Smalley, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Show your work
Answer:
5/8
Step-by-step explanation:
Total pitches thrown = 384
Number of fastballs = 240
To obtain the decimal that should be used to update report ;
Take the ratio of fastballs to the total number of pitches :
Fastballs / total number of pitches
240 / 384
= 30 / 48
= 10 / 16
= 5 / 8 (lowest term)
Can you please help me with this?
Answer:
[tex]m=\frac{6}{5}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
(2, -5)
(7, 1)
[tex]m=\frac{1-(-5)}{7-2}[/tex]
[tex]m=\frac{1+5}{5}[/tex]
[tex]m=\frac{6}{5}[/tex]
2x+ 1 = 19
This is supposed to be two step equations.
Answer:
x=0.1
Step-by-step explanation:
2x+1+=19
19-1=18
2x=18
2/18=0.1
x=0.1
Answer:
x= 9
Step-by-step explanation:
First I would subtract the 1 from 19 which leaves me with 18 then divide both sides by 2 so 2x/2 = 18/2 which gives me 9 now to check. 2 multiplied by 9 =18 plus 1 =1 9. and thats how I get the answ.r
Pls help with the question (also lmk how to award brainliest and I will)
Goran took 2 3/4 hours to clean the bathroom. He took 1 2/5 hours to clean the kitchen. How much longer did it take Goran to clean the bathroom?
Answer: 1 7/20 or 1.35
Ruben bought 6 comic books for 21$. Each comic book is the same price. How much is one comic book?
Answer:
$3.50
Step-by-step explanation:
Find the slope of the line that passes through the points (5.3) and (10, 8).
Answer:
The answer is 1
Step-by-step explanation:
because on a graph with the 2 points the slope goes by 1/1
What is \text{P(roll less than 4})P(roll less than 4)start text, P, left parenthesis, r, o, l, l, space, l, e, s, s, space, t, h, a, n, space, 4, end text, right parenthesis? If necessary, round your answer to 222 decimal places.
Incomplete question:
A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.
Answer:
P(roll less than 4) = 0.50
Step-by-step explanation:
First, we need to list the sample space.
[tex]S = \{1,2,3,4,5,6\}[/tex]
From the above, we have that:
[tex]n(S) = 6[/tex] i.e. total rolls
Represent Rolls less than 4 with L4; So,
[tex]L4 = \{1,2,3\}[/tex]
[tex]n(L4) = 3[/tex] i.e. number of rolls less than 4
The required probability is calculated as:
[tex]Probability = \frac{n(LA)}{n(S)}[/tex]
[tex]Probability = \frac{3}{6}[/tex]
[tex]Probability = 0.50[/tex]
Answer: 0.50
Step-by-step explanation: Khan academy
Please help!
Translations and dilation
Answer:
It looks to me to be a dilation of the old figure
Step-by-step explanation:
The old figure is bigger than the new one. in order for this to happen you need to make it smaller. These to are also similar triangles
P.s.
I hope it is right and it helps you
The perimeter of a rectangle is 85 feet. The length of the rectangle is , 2, ( x + 16 ), and the width is , 3x minus 1, . What is the length of the rectangle?
Answer:
We know that for a rectangle of length L and width W, the perimeter is:
P = 2*L + 2*W.
In this case, we know that:
P = 85ft = 2*L + 2*W
L = 2*(x + 16)
W = (3*x - 1)
(where i guess that these units are in ft )
This is a system of equations:
Then we can replace the second and third equation into the first one, and get:
85 = 2*2*(x + 16) + 2*(3x - 1)
And solve this for x, we will get:
85 = 4x + 64 + 6x - 2
85 - 64 + 2 = (4 + 6)*x
23 = 10*x
23/10 = x
2.3 = x
Then the measures of the rectangle are:
L = 2*(x + 16) = 2*(2.3 + 16) = 36.6
W = (3*x - 1) = (3*2.3 - 1) = 5.9
The length of the rectangle is 36.6 feet, (and the width is 5.9 feet)
PLEASE HELP I will give 100 Branly points to anyone hoo can help Which of the following is the equation of a direct variation that has a constant of variation equal to -1/2
A) y = - 1/2 x
B) y = x - 1/2
C) - 1/2 y =x
D) y = -2 x
Answer:
A
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Which values from the set {−8, −5, −1, 0, 2, 4, 9} satisfy this inequality?
−12x + 6 ≥ 8
a. -8 -5 -1 0 2 4 9
b. -8 and -5 only
c. 4 and 9 only
D.-8 -5 and -1 only
Answer:
the answer that i got was D
Step-by-step explanation:
i did -12x+6
the X is the numbers that they give you so
you would do -12*-8+6 = 102 which is bigger than 8
then you would do -12*-5+6= 66 which is bigger than 8
and last but not least you do -12*-1+6=18 which is bigger than 8
An open circle on the number line means that the number ______________________ a possible solution.
Answer:
well it isn't in the solution it would be an inequality that doesn't have a line under it
if it has a line under the inequality then it would be included in the solution
Step-by-step explanation:
A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $20 and then an additional 6 cents per minute of use. In Plan B, the customer pays a monthly fee of $31.50 and then an additional 4 cents per minute of use. For what amounts of monthly phone use will Plan A cost less than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.
Answer:
m>575Step-by-step explanation:
let the total cost be y
and the number of minutes be m
Plan A
$20 and additional 6cent
6cent to dollar =$0.06
the linear expression is given as
y=20+0.06m---------1
Plan B
$31.5 and additional 4cent
6cent to dollar =$0.04
the linear expression is given as
y=31.5+0.04m----------2
Equating 1 and 2 we can find m
20+0.06m=31.5+0.04m
20-31.5=0.04m-0.06m
-11.5=-0.02m
m=11.5/0.02
m=575
therefore m>575
On weeks days, Aaron gets home from school at 4:30 p.M., and his bedtime is at 9:00 p.M. If he spends 90 minutes playing football, 35 minutes eating dinner, and 1 hour and 45 minutes doing homework, how much time after school will Aaron have left to play video games?
Answer:
40 minutes
Step-by-step explanation:
Time at which Aaron gets home from school = 4:30 PM
Bedtime for Aaron = 9:00 PM
Total available for Aaron = 9:00 - 4:30 = 4 hr 30 minutes
To convert minutes to hours, we need to divide by 60.
Time spent in playing football = 90 minutes = [tex]\frac{90}{60} = 1\ hr\ 30\ minutes[/tex]
Time spent eating dinner = 35 minutes
Time spent in doing homework = 1 hr 45 minutes
Total time spent = 1 hr 30 minutes + 35 minutes + 1 hr 45 minutes = 2 hr 110 minutes = 3 hr 50 minutes
Time left for Aaron to play video games = 4 hr 30 minutes - 3 hr 50 minutes = 40 minutes
If you can answer this, Thank you How many times heavier is an adult blue whale ( 1.7 x 10^5) than an African elephant (9.07 x 10^3)?
9 - 3 divide 1/3 + 1 =
Answer:
8
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
9 - 3 divide 1/3 + 1
-3 divide by 1/3
9 - 9 + 1
0 + 1
1
It is 1, because you should use the order of pemdas. PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction.
How do I divide decimals by whole number.
Answer: You move the decimal to the right for the dividend and divisor.
Step-by-step explanation:
1
2
cups of
3
Monica and Veronica are making strawberry pineapple smoothies. For every 1 cups of strawberries, they use
pineapple. Monica and Veronica have already put 1 cup of pineapple into the blender. The girls cannot agree how many
cups of strawberries to add to the blender to keep the same ratio, so they each did some work to determine the number
of cups of strawberries necessary for the smoothie.
(a)
Monica's Work:
3
13:
3- 3
a
ONU WOT
Veronica's Work
Answer:
For 1 cup of pineapple 1 .5 cups of strawberries are used.
Step-by-step explanation:
This question can be solved by using ratios
Strawberry : Pineapple
1 cup : 2/3 cup
x cup ; 1 cup
Using the cross product rule
2/3 * x= 1*1
x= 1*1 ÷ 2/3
x= 1*3/2= 1 1/2= 1.5
For 2 cups of pineapple 3 cups of strawberries are used.
For 1 cup of pineapple 1 .5 cups of strawberries are used.
For 3 cups of pineapple 4.5 cups of strawberries are used.
Give the place value of the digit 2 in 853,267,149.
Answer:
hondred thosend
Step-by-step explanation:
Answer:
The place value is the hundred thousands place.
Step-by-step explanation:
<3
For their science experiment, Sheila and Martha tried different brands of popcorn to see which one popped the best. Their favorite brand, Pop Delight, had only about 30% of the kernels pop. Another brand, Pop king, had about 60% of the kernels pop. They decided that if they combined equal amounts of the two brands, They should be able to have 90% of the kernels pop. A) is there thinking correct? Show examples to support your answer.
Answer:
./
Step-by-step explanation:
