Answer:
The Zero Product Property basically means that is ab=0 , then either a=0 or b=0. (Or even both). A product of factors is zero if and only if one or more of the factors is zero.
Example: (2x-1 ) (x +4) = 0
Step-by-step explanation:
Which expression is equivalent to 8 x minus 12 y + 32?
A.16 (0.5 x minus 4 y + 32)
B.16 (0.5 x minus 0.75 y + 32)
C.16 (0.5 x minus 0.75 y + 2)
D.16 (0.5 x + 4 y + 2)
Answer:
Because is said
Step-by-step explanation:
C
x(a-b)=b(c-x)
make x the subject of the formular
pls help meee
Answer:
[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Step-by-step explanation:
[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]
Switch sides:
[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]
Divide both sides by; [tex]\:b\ne \:0[/tex]
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Simplify:
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Subtract [tex]c[/tex] from both sides:
[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Simplify:
[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:
[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]
Simplify:
[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafeteria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.
Answer:
11.11% probability that you have missed both friends in the cafeteria
Step-by-step explanation:
We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.
Uniform distribution:
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
Probability that you miss the first friend:
Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex]
You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.
[tex]P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667[/tex]
Probability that you miss the second friend:
Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex].
You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.
[tex]P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667[/tex]
Probability that you miss both friends:
Missing the first friend and the second friend are independent events. So we multiply these probabilities.
[tex]p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111[/tex]
11.11% probability that you have missed both friends in the cafeteria
Which book should they choose for the district?
Answer:
A
Step-by-step explanation:
While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.
A: Approved = 8 Total = 9 8/9 = 88%
B: Approved = 24 Total = 29 24/29 = 83%
C: Approved = 12 Total = 16 12/16 = 75%
D: Approved = 20 Total = 26 20/26 = 77%
As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!
The population p(in thousands) of colorado springs, colorado is given by p(t)=36e^kt where t represent the year, with t=0 corresponding to the year 2000. In 1980, the population was 215,000. Find the value of k
Correction
The function is [tex]p(t)=361e^{kt[/tex]
Answer:
k=0.0259
Step-by-step explanation:
The population function is given as: [tex]p(t)=361e^{kt}[/tex]
Where t=0 corresponds to the year 2000.
In 1980, 1980-2000=-20, p(-20)=215
Therefore:
[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]
Answer:
k ≈ 0.44
Step-by-step explanation:
Given the equation
p(t) = 36e^(kt)
In the year 2000, when t = 0, the population
p(0) = 36e^k............(1)
In 1980, when t = -20, the population was 215000
This implies that
215000 = 36e^(-20k)
e^(-20k) = 215000/36
e^(-20k) = 5972.222
Taking natural logarithm of both sides
ln(e^(-20k)) = ln(5972.222)
-20k = 8.695
k = -8.695/20 = 0.435
k ≈ 0.44
Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212 more seashells on the beach. Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, ddd, it will take Katie to collect over 100100100 seashells.
Graph the solution set to this inequality.
Answer:
34+12d>100
Step-by-step explanation:
there u go
What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?
Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]
Substitute the given coordinates into above equation
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657[/tex]
Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
Answer:
32 square
Step-by-step explanation:
Find the size of each interior angle of a regular polygon of 15 sides.
Answer :
156°
Explanation :
Each triangle has an angle sum of 180 degrees.
The sum of the interior angles of the 15 sided polygon =
(n-2)180°
(n-2)180°
(15-2) × 180°
13 × 180 = 2340 °
Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of
2340° ÷ 15 = 156 °each
Please help
Algebra 1
Look at the photo below...
horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other
write an expression,using an exponent,that is equivalent to 6×6×6×6×6
The answer is [tex]6^{5}[/tex].
Happy to help!
Plzz help me with thsi quistion
Answer:
98 ft
Step-by-step explanation:
14x7
=98 ft
Answer:
98 ft
Step-by-step explanation:
If (− 1 3 ) + 7 = 4, then what is the value for ( 1 3 ) + 6?
Answer:
I'm not sure this is an IQ question or not, but logically:
If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3
=> ( 1 3) = 3
=> (1 3) + 6 = 3 + 6 = 9
Hope this helps!
:)
In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 336 grams of copper. How many grams of zinc does it contain? HELP PLSSSS
A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?
Answer:
The model is 6 inches tall.
Step-by-step explanation:
Write and solve an equation of ratios:
10 in. x
--------- = ----------
40 ft. 24 ft.
Cross-multiplication yields:
240 in = 40x, so x = 6 inches.
The model is 6 inches tall.
The scale model is 6 inches.
Important information:
A building is 24 feet tall and 40 feet wide. The scale model of this building is 10 inches wide.Scale model:Let the scale model is [tex]x[/tex] inches tall.
The height and width of the building and the scale model are proportional.
[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]
[tex]x=\dfrac{24}{40}\times 10[/tex]
[tex]x=6[/tex]
Therefore, the scale model is 6 inches.
Find out more about 'Scale model' here:
https://brainly.com/question/1664216
What is the distance between (–13, 9) and (11, 2) on a coordinate grid?
Answer:
(13,6)
Step-by-step explanation:
Answer:
(13,6)
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
8 > 7- yes
7 = 7- no
12 > 7- yes
2 < 7- no
The Torrid Zone on Earth is the area between the Tropic of Cancer and the Tropic of Capricorn. The distance between these two tropics is about 3250 miles. You can estimate the distance as the height of a cylindrical belt around the Earth at the equator.
A) Estimate the surface area of the Torrid Zone. Round your answer to the nearest tenth of a million. (The radius of Earth is about 3960 miles.)
Answer:
The surface area of the Torrid zone is 179,418,254.4 miles^2
Step-by-step explanation:
In this question, we are to estimate the surface area of the Torrid zone
From the question, we can deduce that the Torrid zone is like a cylindrical belt with a height of 3250 miles while the radius of the earth is 3960 miles
Thus, to calculate the surface area of the Torrid zone, we use the formula for the surface area of a cylinder
Mathematically, this is
A = 2πr ( r + h)
In this case, r = 3960 miles and h = 3250 miles
Substituting these values into the equation, we have
A = 2 * 3.142 * 3960(3960 + 3250)
A = 6.284 * 3960(7210) miles^2
A = 179,418,254.4 miles^2
solve for K
k/2+1/2=3
Answer:k=5
Step-by-step explanation:
K/2+1/2=3
K/2=3-1/2
K/2=5/2
K=10/2
K=5
$2,000,000 is what percent of $10,000,000?
Answer:
20 percent
Step-by-step explanation:
Answer:Now I'm not that smart but it should be 20%
Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%
Hope that helped
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 1^2) / 4
A = 1pi / 4
A = 0.79 square centimeters
Hope this helps! :)
a fair coin is tossed five times. Calculate the probability of obtaining
at least one head.
Answer:
Step-by-step explanation:
dont know sorry
Answer:
1/5
Step-by-step explanation:
There are 5 heads so the provability of having one head is 1/5
simplify 15x-3(2x+4)
Answer:
9x−12
Step-by-step explanation:
Answer:
[tex] = 9x - 12[/tex]
Step-by-step explanation:
[tex]15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12[/tex]
Alice is building a fenced-in pen in her backyard for her dog, as shown. Write an expression that represents the total amount of fencing she will need, in feet. If the longer dimension of the rectangle is 27 feet, how many feet of fencing does Alice need? x plus 13 x Write an expression that represents the total amount of fencing, in feet. Choose the correct answer below. A. 4xplus26 Your answer is correct.B. 4xplus52 C. 2xplus26 D. 2xplus13 Alice needs nothing feet of fencing. Enter your answer in the answer box and then click
Answer: 4x + 52
Step-by-step explanation:
Dimension of pen:
The question seems incomplete or incoherent
However, to find the number of feet of fencing required, we calculate the perimeter of the rectangle, which is given by:
The perimeter of rectangle = [2 × ( length + width)]
If longer dimension = 26 feets and width = 2x
Perimeter = 2(2x + 26)
Perimeter = 4x + 52
Therefore, expression for fencing required = (4x + 52)
ERRE
Which point-slope equation represents a line that passes through (3, -2) with a slope of ?
y-3=-(x + 2)
y-2 = (x-3)
y+2=-(x - 3)
y+3 = (x + 2)
Answer:
the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)
Answer:
aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong
Step-by-step explanation:
Geoff thinks of a number. He deducts five from it and the divides the result by three. His answer is 25. what number did he start with?
Answer:
80
Step-by-step explanation:
Geoff's number is 80. We can figure this out by reversing the steps.
Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.
3 x 25 = 75
75 + 5 = 80
Therefore, Geoff's number is 80.
Answer:80
Step-by-step explanation:
Stephanie is comparing web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but no membership fee. Write and solve an equation to find how many songs Stephanie would have to buy to spend the same amount on both web sites. Which of the following shows the correct number of songs?
Answer: She would need to listen to 6 songs. 5+0.50*2=1*6
Step-by-step explanation: The first website has a $5 mebership fee plus 0.50 cents per song which means 5 + 0.50 *2 equals $6. The other website is $1 per song no membership fee.
Remove all perfect squares from inside the square root√450
I need an answer ASAP please.
Answer:
[tex]\sqrt{450}= 21.21[/tex]
Step-by-step explanation:
[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]
The required expression is 15√2.
In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.
Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2
Thus, the required expression is 15√2.
Study more about simplification here:
https://brainly.com/question/12501526
#SPJ2
write a function in the form y=mx+b for the line that contains the points (-8.3, -5.2) and (6.4,9.5)
Answer:
y = x + 3.1
Step-by-step explanation:
As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7. Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.
Write out y = mx + b. Because m = 1, we have
9.5 = 1(6.4) + b, or 9.5 = 6.4 + b, with the result that b = 3.1
and so the desired equation is y = x + 3.1
Meg saved coins she found for a year. She found a total of 95 pennies, 13 nickels, 41 dimes, and 11 quarters. She would like to evenly divide the coins into 4 piggy banks. How many coins will go in each piggy bank?
Answer:
40 coins in each piggy bank
Step-by-step explanation:
Add all the coins together.
95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins
Divide the number of coins by 4.
160 coins divided by 4 piggy banks= 40 coins in each piggy bank
I hope this helps ;)
Let m = 6x + 5.
Which equation is equivalent to (6x + 5)2 – 10 = -18x – 15 in terms of m?
Answer:
m² + 3m - 10 = 0
Step-by-step explanation:
Given
(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term
(6x + 5)² - 10 = - 3(6x + 5)
Now let m = 6x + 5 in the equation, that is
m² - 10 = - 3m ( add 3m to both sides )
m² + 3m - 10 = 0
Answer:
m = 2
Step-by-step explanation:
(6x + 5)2 – 10 = -18x – 15
12x + 10 - 10 = -18x - 15
12x + 18x = -15
30x = -15
x = -15/30
x = -1/2
m = 6x + 5
m = 6(-1/2) + 5
m = -3 + 5
m = 2