13(9x)
13 * 9x = 117x
Answer:
[tex]117x[/tex]
Step-by-step explanation:
[tex]13(9x) \\ = 117x[/tex]
The area of the quadrilateral below can be found be adding the areas of the distinct figures.
The growth of a population of bacteria can be modeled by an exponential function. The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks, that has passed. The initial population of the bacteria colony was 500. What is the domain of the function? What does the domain represent in this context?
Answer:
t ≥0
Step-by-step explanation:
Given the information:
The initial population: 500
The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,
=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0
What is the domain of the function?The domain of exponential functions is all real numbers greater than zero
<=> t ≥0 (because t present for the time and time can not have negative value)
What does the domain represent in this context?t is the independent variable is this exponential function and the population of bacteria depends on the change of t.
Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)
Hope it will find you well.
What is the equation of a line passing through 1,2 and -2,5
Answer:
y=-1x+3
Step-by-step explanation:
2-5/1+2
-3/3
-1
y=-1x+b
2=-1+b
b=3
y=-1x+3
State the degree of each expression.
1) 10x10 + x
Answer:
10x10x10
Step-by-step explanation:
Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question
Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3
Answer:
a.20
Step-by-step explanation:
20 is standing out from the rest of the numbers
The circular ring of the fountain has a radius of 9 feet. What is the area of the ring?
Answer:
about 254.47
Step-by-step explanation
Circle are equation: pi(r)^2
pi(9)^2 = 254.47
HELPPP I NEED IT I DONT KNOW WHAT TO DO
Answer:
3/2
Step-by-step explanation:
Its because its saying the largest box to the smallest.
since the largest box has a side of 3 it should be on top and the smallest is 2, should be on the bottom.
Ignore all negetive fraction because they are useless.
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast, to $3 in the mid-US, to $5 on the west coast. B On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price?
Answer:
A) The amount of gas they bought on each coast;
East Coast = 35 gallons
Mid-US = 100 gallons
West Coast = 15 gallons
B) The amount of gas they bought on each coast on the return journey;
East Coast = 37 gallons
Mid-US = 116 gallons
West Coast = 21 gallons
Step-by-step explanation:
Complete Question
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.
(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?
The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.
(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one
Solution
Let the amount of fuel bought on the east coast = x gallons
Let the amount of fuel bought on the mid-coast = y gallons
Let the amount of fuel bought on the west coast = z gallons
a) - They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $515 on gas to purchase 150 gallons of gas.
Total gallons purchased = x + y + z = 150
Total amount spent = 4x + 3y + 5z = 515
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 150
3x + 3z = 150
Divide through by 3
x + z = 50 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515
4x + 6x + 6z + 5z = 515
10x + 11z = 515 (eqn **)
x + z = 50
10x + 11z = 515
Solving the simultaneous equation,
x = 35 gallons
z = 15 gallons
y = 2x + 2z = 2(35 + 15) = 100 gallons
B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.
They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $601 on gas to purchase 174 gallons of gas.
Total gallons purchased = x + y + z = 174
Total amount spent = 4x + 3y + 5z = 601
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 174
3x + 3z = 174
Divide through by 3
x + z = 58 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601
4x + 6x + 6z + 5z = 601
10x + 11z = 601 (eqn **)
x + z = 58
10x + 11z = 601
Solving the simultaneous equation,
x = 37 gallons
z = 21 gallons
y = 2x + 2z = 2(37 + 21) = 116 gallons
Hope this Helps!!!
You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 percent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?
a) $500 in 5%, $500 in 7%
b) $400 in 5%, $600 in 7%
c) $200 in 5%, $800 in 7%
d) $800 in 5%, $200 in 7%
Answer:
a) $500 + $525 = $ 1,025
b) $420 + $642 = $ 1,062
c) $210 + $856 = $ 1,066
d) $840 + $214 = $ 1,056
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)^1/nt - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Answer:
It's C
Step-by-step explanation:
I need help pleaseeee
Answer:
20cm
Step-by-step explanation:
pythagorean theorem
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 400
b = 20
Answer:
20 cm
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
15^2 +b^2 = 25^2
225+b^2 = 625
Subtract 225 from each side
225+b^2 -225 = 625-225
b^2 = 400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
Solve this equation.What is the length of x?
Answer:
6. 12.5 cm
7. 0.7241
Step-by-step explanation:
6.
You have 2 right triangles. You can use the Pythagorean theorem for each one.
a^2 + b^2 = c^2
Let y = length of vertical side between triangles.
Left triangle:
5^2 + y^2 = 13^2
25 + y^2 = 169
y^2 = 144
y = 12
Right triangle:
3.5^2 + 12^2 = x^2
12.25 + 144 = x^2
x^2 = 156.25
x = 12.5
Answer: x 12.5 cm
7.
For <X, 2.0 ft is adj leg. 2.9 ft is hyp.
cos X = 2.0/2.9 = 0.6897
X = cos^1 0.6897 = 46.397 deg
sin X = sin 46.397 deg = 0.7241
can someone tell me how to do this
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?
Answer:
Step-by-step explanation:
P(first blue) = 444/ 1554
P(second blue) = 443/1553
P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08
What is the negative square root of 4,900?
Answer: -70
Step-by-step explanation: hope I helped
the lines below are parallel. If the green line has a slope of 5, what is the slope of the red line? Enter your answer as an integer or fraction in lowest terms
Answer: 5
Step-by-step explanation: As a rule, parallel lines will always have the same slope. What that means is that if you're told that 2 lines are parallel, the slopes will be exactly the same for both of them.
So if the green line has a slope of 5, the red
line also has a slope of 5.
1/4(X-10)=2X+1
what is X?
Answer: [tex]x=-2[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(x-10)=2x+1[/tex]
Distribute 1/4
[tex]\frac{1}{4}x-\frac{1}{4}(10)=2x+1[/tex]
[tex]\frac{1}{4}x-\frac{5}{2}=2x+1[/tex]
add 5/2
[tex]\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{1*2+5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{2+5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{7}{2}[/tex]
Subtract 2x
[tex]\frac{1}{4}x-2x=2x-2x+\frac{7}{2}[/tex]
[tex]\frac{1}{4}x-2x=\frac{7}{2}[/tex]
[tex]\frac{1-2*4}{4}x=\frac{7}{2}[/tex]
[tex]\frac{1-8}{4}x=\frac{7}{2}[/tex]
[tex]-\frac{7}{4} x=\frac{7}{2}[/tex]
Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7
[tex](-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )[/tex]
[tex]x=-\frac{28}{14}\\ x=-2[/tex]
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Hill rode in the taxi
from his home to the airport and was charged $30. How many miles does
Mr. Hill live from the airport?
Answer:
18 miles from the airport
Answer:
18
Step-by-step explanation:
30-3=27 divided by 1.50=18
Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?
There are no options to choose from
Answer:
r: radius of balloon
V = (4/3)*pi*r^3 = 288000
=> r^3 = 288000*(3/4)/pi
=> r^3 = 68754.94
=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Answer:
18.75
Step-by-step explanation:
75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75
What is the value of p in the equation below?
3x2 x 2x4 = px6
A. 144.
B. 6
C. 5
D. 3
Answer:
p = 8
Step-by-step explanation:
3x2 x 2x4 = px6
6 × 8 = 6p
48 = 6p
p = 48/6
p = 8
hope it helps!
The United States five-dollar bill are 155.956 mm long and 66.294 wide. A stack of these bills fits inside a 156 x 66.3 x 66.3 mm box and uses up 258,473.68 cubic millimeters of volume.
Part A: How much money is in the box?
Part B: What percent of the box’s volume is taken up by the five-dollar bills?
Answer:
A) $5 × 25 = $75
B) 37.69%
Step-by-step explanation:
The dimension of five dollar bill:
Length = 155.956mm
Width = 66.294
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
Dimension of box :
156 x 66.3 x 66.3 mm
If volume of the 5—dollar bill is 258,473.68mm^3
Then, the Thickness of the five dollar stack equals :
Volume = Length × width × height
258,473.68mm^3 = 155.956mm × 66.294 × height
258,473.68 = 10338.947064 × h
h = (258473.68/10338.947064)
h = 25.000000003288 = 25
Therefore, the amount of money in the box is:
$5 × 25 = $75
Percentage of box volume taken up by $5 bill
Volume of the box:
156 x 66.3 x 66.3 mm = 685727.6399mm^3
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
(258,473.68 / 685727.6399) × 100
=37.69%
ill give a brainliest :)
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Charge your computer!!
Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!
Answer:
[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]
Step-by-step explanation
The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]
Answer:
-5 ± sqrt(73))
----------------------------
4
Step-by-step explanation:
2x^2 +5x =6
Subtract 6 from each side
2x^2 +5x -6 =0
This is in the form
ax^2 +bx+c where a=2 b=5 and c=-6
The quadratic is -b ± sqrt(b^2 -4ac)
----------------------------
2a
-5 ± sqrt(5^2 -4(2)(-6))
----------------------------
2(2)
-5 ±sqrt(25 +48))
----------------------------
4
-5 ± sqrt(73))
----------------------------
4
Y=12x+7 find an equation for the inverse relation
Answer:
y= 5x
Step-by-step explanation:
I hope this helps and that it is correct.
I NEED HELP FAST, 20POINTS
Which of the following statements is true?
| A | < | D |
A + B = D
C ≥ D
| B | > C
Answer:
| A | < | D |
Step-by-step explanation:
| A | is going to be 4 units since A = -4
| D | i sgoing to be 3 units since D = 3
Answer:
The answer is |A|< |D|
Step-by-step explanation:
Just did it and it was right
Unit 5. 6) Please help. A block of wood has a density of 2.7 grams per cubic centimeter. If the block has a mass of 54 grams, what is its volume?
Answer:
V = 20 cm^3
Step-by-step explanation:
density = mass / volume
2.7 grams/ cm^3 = 54 grams / V
Multiply V on each side
V *2.7 grams/ cm^3 = 54 grams / V *V
Divide each side by 2.7
V = 54 grams / 2.7
V = 20 cm^3
Answer:
The correct answer is option 2, 20cm.
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:
j = g + 12
if we solve for g:
g = j - 12
which is the same as saying that Gus made 12 number of engine less than Jessie
Answer:
g = x - 12
where x is the number of axles installed by Jessie
Step-by-step explanation:
Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.
As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,
x = g + 12
Such that
g = x - 12
Find the measure of the reference angle for each given angle. Part 1
10. θ = 95°
11. θ = -250°
12. θ = 230°
Answer:
10. 85°
11. 70°
12. 50°
Step-by-step explanation:
Please see attached picture for full solution.
Round off 9852 to 1 significant figure
Answer:
10000
Step-by-step explanation:
9852
Means we are rounding to the thousands place
We look at the hundreds place
8 is greater than or equal to 5 so we round the thousands place up
9 becomes 10
9852 becomes 10,000
Answer:
Step-by-step explanation:
10000
what's the answer too 7x+4y=14 ; y=6x-12 using elimination
Answer:
x = 2
y = 0
Step-by-step explanation:
To solve by elimination, you have to first change the equations so that you can cancel out one variable.
Change the second one.
4y = 24x - 48
Subtract them:
7x = -24x + 62
31x = 62
x = 2
y = 0
7x+4y=14
y=6x-12
Reorder:
7x+4y=14
-6x+y=-12
Multiply bottom one by 4:
7x+4y=14
4(-6x+y=-12)
=>
7x+4y=14
-24x+4y=-48
Combine/Eliminate:
-17x=-34
/-17 /-17
x=2
Plug x back in to one of the equations:
y=6(2)-12=12-12=0
Answer:
x=2, y=0
