Answer:
- 5
Step-by-step explanation:
Step 1:
60 = - 12r
Step 2:
12r = -60
Step 3:
r = - 60 ÷ 12
Answer:
r = - 5
Hope This Helps :)
Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
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A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
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C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
Answer:
The statement that describes a situation that can be modeled as a growth or decay over equal interval is;
C. A species of fly doubles its population every month during the summer
Step-by-step explanation:
We have for exponential growth or decay, the following equation;
Exponential growth or decay;
[tex]y = a \cdot b^t[/tex]
Where;
a = The initial amount of the item
1 + r = The rate of growth in percentage
b = The growth or decay factor
t = The time
For exponential decay, we have;
0 < b < 1
b = 1 - r
[tex]y = a \cdot(1 - r)^t[/tex]
For exponential growth, we have;
b > 1
b = 1 + r
[tex]y = a \cdot(1 + r)^t[/tex]
Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;
[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]
Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.
find the slope that passes through each pair of points. no decimals and simplify fractions.
(4,-2) and (3,-2)
Slope formula: y2-y1/x2-x1
We can use the points given to solve.
-2-4/3-(-2)
-6/5
Best of Luck!
“If it is July then it is summer, and it is not July therefore it is not summer” Is this reasoning valid? Why or why not?
Answer:
No
Step-by-step explanation:
Summer starts in June and ends in August, so this is not valid.
Bam
If she does not make any deposits or withdrawals, what will be the balance in her
account after 2 days?
Answer:
the same as its been for 2 days
Step-by-step explanation:
Do two points always, sometimes, or never determine a line? Explain.
Answer: sometimes
explanation:
if there are two points then there could be a line to connect them, however, there could always be two points that are separate on their own.
Answer:
Always
Step-by-step explanation:
If 2 distinct points lie on the plane then it determines the line. You can also verify if you can find the slope, with these 2 coordinate points, and then find the equation of the line but using point slop form and/or slope intercept form which is y=mx+b
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
Please make sure to include each step you took!!!
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
a - 2(4 - a) = 7a - 12
Step 2: Solve for a
Distribute -2: a - 8 + 2a = 7a - 12
Combine like terms: 3a - 8 = 7a - 12
Subtract 3a on both sides: -8 = 4a - 12
Add 12 on both sides: 4 = 4a
Divide both sides by 4: a = 1
Step 3: Check
Plug in x to verify if it's a solution.
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5
Answer:
a = 1Step-by-step explanation:
equation given: a - 2(4 - a) = 7a - 12
distribute and expand the equation
a - 8 + 2a = 7a - 12
combine similar terms:
a + 2a - 7a = -12 + 8
simplify:
-4a = -4
a = -4 / -4
a = 1proof that a = 1
a - 2(4 - a) = 7a - 12
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5 therefore, the a = 1 is correct.
Find the volume of the sphere. Use 3.14 for it. Round to the tenths if necessary. Don't forget to include your
label in the answer. Use ^ to show an exponent.
Hey there! I'm happy to help!
First let's find the radius. The radius is half of the diameter.
9/2=4.5
Here's how to find the volume of any sphere.
You cube the radius.
4.5³=91.125
You multiply by 3.14
91.125(3.14)=286.1325
And finally we multiply by 4/3.
286.1325(4/3)=381.51
We round to the nearest tenth, giving us a volume of 381.5 in^3.
Have a wonderful day! :D
9 in = 3 in
v = 3,14x 3 x 3
= 28,26
answerers about Caca Andika from IndonesiaPls help I don’t understand the question
What is the result when the number 66 is decreased by 8.3%?
Answer:
.........it equals 60.52200
4-7x=1-6x can someone please solve and show the work :)
Answer:
x = 3
Step-by-step explanation:
Simplifying
4 + -7x = 1 + -6x
Solving
4 + -7x = 1 + -6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6x' to each side of the equation.
4 + -7x + 6x = 1 + -6x + 6x
Combine like terms: -7x + 6x = -1x
4 + -1x = 1 + -6x + 6x
Combine like terms: -6x + 6x = 0
4 + -1x = 1 + 0
4 + -1x = 1
Add '-4' to each side of the equation.
4 + -4 + -1x = 1 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 1 + -4
-1x = 1 + -4
Combine like terms: 1 + -4 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3
what is the area of a pizza with a 9 inch radius?
Answer:
254.47
Step-by-step explanation:
A=πr2=π·92≈254.469
The graph below represents the solution set of which inequality? x2 – 2x – 8 0 x2 + 2x – 8 > 0
Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
[tex]x^2+2x-8 < 0[/tex] represents the given solution set.
What is known as inequality?A mathematical expression in which left hand side is not equal to right hand side is known as inequality.
The given solution set is x>-4 and x<2
Option A: [tex]x^2-2x-8 < 0[/tex]
(x+2)(x-4)<0
x<-2 and x<4
Option B: [tex]x^2+2x-8 < 0[/tex]
(x-2)(x+4)<0
x<-4 and x<2
Option C: [tex]x^2-2x-8 > 0[/tex]
(x+2)(x-4)>0
x>4 and x>-2
Option D: [tex]x^2+2x-8 > 0[/tex]
(x-2)(x+4)>0
x>-4 and x>2
Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.
Learn more about inequality here:
https://brainly.com/question/16792145
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[tex]8 + 3 \times 4[/tex]
idk the answer
Answer:
20 is correct answer
Step-by-step explanation:
8+3×4
=8+12
=20
Remember always follow bodmas rule
hope it helped you:)
thanks!
The product of 7 and j is 91
j = 13
Step-by-step explanation:7×j = 91
j = 91 : 7
j = 13
Find two consecutive odd integers such that seven times the first equals five times the second.
Answer:
Odd integers are always one more that an even integer:
1st: 2n+1
2nd: 2n+3
Step-by-step explanation:
14n+7 = 10n+15
4n = 8
n = 2
------------
1st: 2n+1 = 5
2nd: 2n+3 = 7
7x=5*(x+2)
7x=5x+10
7x-5x=10
2x=10
x=5
5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.
What are Integers?Integers are the numbers consisting of whole numbers and the negatives of natural numbers.
Let 2n + 1 and 2n + 3 be the two consecutive odd integers.
We have the relation seven times the first integer equals five times the second.
7 (2n + 1) = 5 (2n + 3)
By distributive property,
(7 × 2n) + (7 × 1) = (5 × 2n) + (5 × 3)
14n + 7 = 10n + 15
Taking the terms containing unknowns on one side and constants on other side,
14n - 10n = 15 - 7
4n = 8
n = 8 / 4
n = 2
So the first number = 2n + 1 = (2 × 2) + 1 = 5
and the second number = 2n + 3 = (2 × 2) + 3 = 7
Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.
To learn more about Integers, click :
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The ordered pair (1,0) is a solution to the inequality y
Please select the best answer from the choices provided
T
F
3<6c+13<5 (Enter your answer in INTERVAL notation, using U to indicate a union of intervals; or enter DNE if no solution exists)
Answer:
(-5/3, -4/3)
Step-by-step explanation:
3 < 6c +13 < 5 . . . . given
-10 < 6c < -8 . . . . . subtract 13
-10/6 < c < -8/6 . . . divide by 6
We can express the interval using reduced fractions as ...
(-5/3, -4/3)
15 divided by 266 I need R
Answer:
Step-by-step explanation:
You could use a calculator or you could perform long division to find the remainder of 15/266. There is no integer quotient, other than 0 (zero). That means 15 is the remainder.
Supposing you were dealing with 266/15 (which is really a different problem). This division produces an integer quotient and a remainder:
266
------- = 17 r. 11
15
Double-check to ensure that you've copied this problem down correctly.
Latoya created a factor tree and wrote the prime factorization of 90 shown below. A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5. What is Latoya's error? She should not have found the factors of 9. She should have included an exponent of 2 on the 3. She should have included 9 and 10 in the prime factorization. She should have started the tree with 2 times 45.
Answer:
B) She should have included an exponent of 2 on the 3.
Step-by-step explanation:
Just took the test. Good luck!
jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?
Answer:
-20
Step-by-step explanation:
Answer:
it is -20
Step-by-step explanation:
please help!
4^x*5^y=20, 4^y*5^x=20^2, x+y=?
Answer:
x + y are either 2 or 4
Step-by-step explanation:
conclusion x + y = 2 OR 4
A skater having a mass of 80 kg is skating with a velocity of 70 m/s when he hits another skater who is not moving. After colliding, the skaters start to drift together with a velocity of 40 m/s. Find the mass of the skater who was not moving.
Answer:
the mass is 75 kg
Step-by-step explanation:
80 KG
70m/s times forty=2800 divided by 80=35 +40=75
[tex] \frac{ - 4}{5} + - 31 \times \frac{3}{5} [/tex]
help
Hey there!
ANSWER: [tex]\frac{-97}{5}[/tex]EXPLANATION:[tex]\frac{-4}{5}+-31*\frac{3}{5}[/tex]
Keep denominator same and add parenthesis to 3/5.
[tex]\frac{-4}{5}+-31*(\frac{3}{5})[/tex]
Here is your answer.
[tex]\frac{-97}{5} (ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
please help me i am so lost
22. y =x-v over b solve for x
Answer:
See Below
Step-by-step explanation:
y = [tex]\frac{x-v}{b}[/tex]
Isolate x
First step, multiply both sides by b to get rid of fraction
y(b) = x - v
+v +v
y(b) +v = x
Hope this helps!=)
7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?
Answer:76
Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.
Natalie is in the business of manufacturing phones. She pays a cost of $50 per
phone produced for materials and labor and also must pay a daily fixed cost
of $900 to rent the building and equipment. Make a table of values and then
write an equation for C, in terms of p, representing total cost, in dollars, of
producing p phones in a given day.
Answer:
C = 50p +900
Step-by-step explanation:
Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).
Equation: C = 900 +50p
__
The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.
how many micrograms are in 0.23 kg?
If the average baby blue whale grows at a rate of 1.5 inches a day, how many days does a baby whale grow to reach 47.075 inches? (Round to the nearest hundredth of a day)
x = # of days.
1.5x = 47.075
Divide both sides by 1.5
x = 31.38 days
whats the answer
f(-3)= -3^2+1
The answer to f(-3)= -3^2+1 is 10 !!
Answer: 10
STEP BY STEP STEP BY STEP BY STEP