Answer:
Step-by-step explanation:
h(t) = 2t 2 – 11t – 10 is the answer
The value of h(t) is h(t) = 2t^2 – 11t – 10.
To add or subtract functions, just add or subtract the values at each point where it makes sense.
How to find h(t) = f(t) – g(t)?
Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:
Given : Dam A f(t) = 5t^2 – 7t – 1
Dam B : g(t) = 3t ^2 + 4t + 9.
Then f(t) – g(t) = (5t^2-7t-1) -(3t^2+4t+9)
=> 2t^2 – 11t – 10.
Thus, h(t) = 2t^2 – 11t – 10.
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What is 1,000,000 written as a power of ten?
10–6
10–7
107
106
Answer:
10^6 aka D
Step-by-step explanation:
We know this because we start off with 1. we take the decimal and swipe it 6 places to the right filling the gaps with zero. As shown in the problem itself.
Answer:
10^6
Step-by-step explanation:
10^6 is 10 × 10 × 10 × 10 × 10 × 10, and that is 1,000,000.
Simplify 6^4 x 6^3 divided by
6^-1
Answer:
6^6
Step-by-step explanation:
6^4 x 6^3 / 6^-1
exponent rule add exponents 4+3=7 so 6^7
exponent rule subtract exponents 7-(-1) so
Answer= 6^8
Answer:
1644624
At least that's what i got on my calculator
if g is the midpoint of FH and FH =6y-2 find y
Answer:8
Step-by-step explanation: trust me
The relationship between y and x, given that g is the midpoint of FH is y = (1/3)x + (1/3).
If g is the midpoint of FH, it means that FH is divided into two equal segments, FG and GH, such that FG = GH.
Given that FH = 6y - 2, set up an equation to represent this:
FH = FG + GH
Substituting the values we know:
6y - 2 = FG + GH
Since FG = GH then
6y - 2 = x + x
Now, combine like terms:
6y - 2 = 2x
To find the value of y, isolate it on one side of the equation:
6y = 2x + 2
Now, divide both sides by 6 to solve for y:
y = (2x + 2) / 6
y = (2/6)x + (2/6)
y = (1/3)x + (1/3)
So, y is equal to (1/3)x + (1/3).
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use equivalent ratios to find unknown value plz halp!!!!
Answer:
21
Step-by-step explanation:
It might be 21/30 , hope it helps though :)
Answer:
21 is the un known value.
Step-by-step explanation:
10 times 3=30
7 times 3 = 21
so 21/30 is your answer.
Andy ran the 100-meter dash in 13.4 seconds. Below is a table showing Andy's heart rate during the race. What parent function does Andy's data best represent? Time (in seconds) Heart Rate 0 61.1 5 85.6 9 105.2 11 115 13.5 122.3 A. a linear function B. a cubic function C. a square root function D. an absolute value function
During a drought the water level of a lake changes -3 1/5 feet per day. Write and solve an equation to find how long it takes for the water level to change -16 feet
Answer:
-3.2x=-16
Step-by-step explanation:
What is the volume of this rectangular prism?
Answer:
The answer is B. 54 cm
Step-by-step explanation:
When you find the volume of a rectangle you have to multiply the length, width, and height. The length is 9, width 3, and height 2. When you multiply them together you'll get 54
it takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?
Answer:
120 mins
or
2hrs
Step-by-step explanation:60 min=1 hr
60 min/5=12 min
12(4)=48 min
24 min=1/5 of room
24(5)=120 min
120 min=2 hrs
It would take 2 hours to paint one room.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to paint 2/5 of the room = 4/5 hour
To find the time taken to paint one room,
Use ratio property,
2/5 room takes = 4/5 hour
1 room takes = 4/5 x 5/2 hours
= 4 / 2 hours
= 2 hours.
The one room takes 2 hours to paint.
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Let find x=3x+1 and g x=1-5x
The corresponding composite function for (f∘g)(x) include the following: (f∘g)(x) = 4 - 15x.
In Mathematics and Geometry, a function composition is an operation (∘) that combines two functions f(x) and g(x), in order to produce a composite function h(x) = (g∘f)(x), such that h(x) = g.
In this exercise, we would determine the corresponding output values for the given composite function by using the substitution method as follows;
f(x) = 3x + 1
g(x) = 1 - 5x
(f∘g)(x) = 3(1 - 5x) + 1
(f∘g)(x) = 3 - 15x + 1
(f∘g)(x) = 4 - 15x.
Complete Question:
Let f(x)=3x+1 and g(x)=1-5x. Find (f∘g)(x).
Please answer this correctly
Answer:
Step-by-step explanation:
41:2
41:43
This is because the question wants the number of burgers with onions to the total amount of burgers. The question already states 41 have onions. It also states the total amount of burgers is 43. Therefore, your answer is 41:43.
If the two spinners below are spun, what is the probability that the numbers will match
Answer:
Yes, you are correct :)
Answer:
1/4
Step-by-step explanation:
what is the coefficient of determination for this data set.....the answer is 0.91
The coefficient of determination for this data set would be 0.91
What is Correlation Coefficient ?A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables. In other words, it reflects how similar the measurements of two or more variables are across a dataset.
The correlation coefficient for this data set will be positive, since the dependent variable increases as the independent variable decreases.
Since the data appears to be fairly linear, the correlation coefficient will be close to 1 which means 0.91 is our best choice.
Hence, The coefficient of determination for this data set would be 0.91
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Name the vertex and sides of each angle
Answer: 7) vertex = ∠H sides = HG and HI
8) ∠H, ∠IHG, ∠GHI, ∠4
9) ∠HVI, ∠HVJ, ∠IJV
NOTES:
1) The vertex is the point where the two segments, rays, or lines connect.
2) When naming an angle, the vertex is ALWAYS written in the middle with the sides on the left and right.
Hannah and Francine have $120.hannah and Peter have $230.Peter has 6 times as much money as Francine.How much money does Hannah have?
Answer:
$98
Step-by-step explanation:
x+6(120-x)=230
x+720-6x=230
-5x=-490
x-98
x represented how much money Hannah had.
585,156.22 nearest thousand
The diameter of a basketball is 9.47 inches. What is the length of 12 basketballs lined up next to each other?
A) 112.92 inches B) 21.47 inches
B) 116.88 inches C) 108 inches
Answer:
B) 116.88 inches
Step-by-step explanation:
we know that
To find out the length of 12 basketballs lined up next to each other, multiply the diameter of one basketball by 12
[tex]12(9.47)=113.64\ in[/tex]
therefore
The logical answer between the options is 116.88 inches, because the length cannot be less than 113.64 in
today my i am twice my daughters age. in 20 years i will be 1.5 times her age how old is she
Good morning ☕️
______
Answer:
She is 20 years old
____________________
Step-by-step explanation:
Let x be the age of the daughter.
Let y be the age of the mother.
then , we have to solve the system:
y=2x (1)
y+20=1.5(x+20) (2)
If we substitute y by 2x in the second equation we get :
(2) 2x+20=1.5(x+20) ⇔ 2x+20=1.5x+30 ⇔ 2x-1.5x=30-20
⇔ 0.5x=10 ⇔ x=20.
By the way the mother’s s age = 40 years.
:)
The table shows the revenue for four companies in 2013.
What is the difference in revenue between the company with the greatest revenue and the one with the least revenue?
A. 2.2 × 10 (to the power of) -3
B. 2.2 × 10 (to the power of) 3
C. 6.79 × 10 (to the power of) 6
D. 6.79 × 10 (to the power of) 7
NEED HELP ASAP!
Greatest revenue = Company D with 6.8 x 10^7
Least revenue = Company C with 9.0 x 10^4
Difference = 6.8 x 10^ 7 - 9.0 x 10^4
= 68000000 - 90000
= 6.79 x 10^7
Answer is D
The difference in revenue between the company with the greatest revenue and the one with the least revenue is 6.79 x [tex]10^7[/tex]
Option D is the correct answer.
We have,
From the table,
D has the greatest revenue.
C has the lowest revenue.
Now,
D revenue = 6.8 x [tex]10^7[/tex]
C revenue = 9 x [tex]10^4[/tex]
The difference in revenue between the company with the greatest revenue and the one with the least revenue.
= 6.8 x [tex]10^7[/tex] - 9 x [tex]10^4[/tex]
= 67910000
= 6791 x [tex]10^4[/tex]
= 6.79 x [tex]10^7[/tex]
Thus,
The difference in revenue between the company with the greatest revenue and the one with the least revenue is D. 6.79 x [tex]10^7[/tex]
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4x + 6 over 2 equals 3x - 15 over 3
Answer:
x = -8Step-by-step explanation:
[tex]\dfrac{4x+6}{2}=\dfrac{3x-15}{3}\qquad\text{cross multiply}\\\\3(4x+6)=2(3x-15)\qquad\text{use the distributive property}\\\\(3)(4x)+(3)(6)=(2)(3x)+(2)(-15)\\\\12x+18=6x-30\qquad\text{subtract 18 from both isdes}\\\\12x=6x-48\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8[/tex]
x=-8
Given equation is (4x+6)/2=(3x-15)/3, we need to find x
What is cross multiplication method?Multiply the numerator of one fraction to the denominator of other and denominator of the first term to the numerator of another term is called Cross Multiplication Method.
Given, (4x+6)/2=(3x-15)/3
Apply cross multiplication method
3(4x+6)=2(3x-15)
12x+18=6x-30
12x-6x=-30-18
6x=-48
Divide both sides by 6
x=-8
Therefore value of x in (4x+6)/2=(3x-15)/3 is '-8'.
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The graph shows the relationship between the late fines the library charges and the number of days late
Answer:
[tex]y=0.25x[/tex]
Step-by-step explanation:
We are given that a graph which shows the relationship between the late fines the library charges and the number of days late.
From given graph we can see that
The graph passes through the points (2,0.5) and (10,2.5).
We have to find the equation for the relationship.
Slope formula:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
By using the formula
Slope of graph=[tex]m=\frac{2.5-0.5}{10-2}[/tex]
Slope of graph=m=[tex]\frac{2}{8}=\frac{1}{4}[/tex]
Point slope- form:[tex]y-y_1=m(x-x_1)[/tex]
We have [tex]y_1=2.5,x_1=10[/tex]
Substitute the values then we get
The equation of for the relationship
[tex]y-2.5=\frac{1}{4}(x-10)[/tex]
[tex]y-2.5=0.25x-2.5[/tex]
[tex]y=0.25x-2.5+2.5=0.25x[/tex]
Hence, the equation for the relationship is given by
[tex]y=0.25x[/tex]
90 POINTS Determine the measures of L and M.
Hey!
------------------------------------------------
To Solve We Need:
By looking at the picture we can see that the measure of N is 48 degrees.
A triangle needs a total of 180 degrees to be a complete triangle.
------------------------------------------------
Solution:
180 - 48 = 132 degrees
132 / 2 = 66 degrees
------------------------------------------------
Answer:
L and M measure 66 degrees!
------------------------------------------------
Hope This Helped! Good Luck!
Answer:
La and M 66 degrees !
Step-by-step explanation:
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest and the other is expected to earn 4%. Plans are for the total interest on the fund to be $1,150 in one year. How much money should be invested at each rate
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
[tex]t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150[/tex]
substitute in the formula above
[tex]I=P_1(r_1t)+P_2(r_2t)[/tex]
[tex]1,150=x(0.0525*1)+(25,000-x)(0.04*1)[/tex]
Solve for x
[tex]1,150=0.0525x+1,000-0.04x[/tex]
[tex]0.0525x-0.04x=1,150-1,000[/tex]
[tex]0.0125x=150[/tex]
[tex]x=\$12,000[/tex]
[tex]|$25,000-x=\$13,000[/tex]
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Answer:
Step-by-step explanation:
Let x be the investment at 5.25% and y at 4%
Then we have
[tex]x+y =25000\\5.25x+4y = 115000[/tex]
We have to solve this system to get x and y
Multiply I equation by 4
[tex]100000=4x+4y\\115000=5.25x+4y\\-----------------------------\\15000 = 1.25x\\x = 12000\\y =25000-12000 = 13000[/tex]
12000 should be invested in 5.25% and 13000 in 4% interest.
4. Mimi has 15 cousins. All but 3 of her cousins live in Texas what percent of her cousins live in Texas?
Write a proportion and solve Show your work
It’s Not sure on the right answer
Answer:
20%
Step-by-step explanation:
15= 100%
3/15 = 1/5
100% divided by 5 is 20%
proportion: 1/5
Mimi has 15 cousins, and after subtracting the 3 who do not live in Texas, 12 of her cousins live there. By setting up a proportion, we calculate that 80% of Mimi's cousins live in Texas.
Mimi has 15 cousins, and all but 3 live in Texas. To find the percentage of her cousins that live in Texas, we first need to calculate the number of cousins who live in Texas. We do this by subtracting the 3 that do not live in Texas from the total number of cousins, which is 15.
Number of cousins living in Texas = Total cousins - Cousins not living in Texas
Number of cousins living in Texas = 15 - 3 = 12
Next, we set up a proportion to find the percentage. The proportion is based on the number of cousins in Texas over the total number of cousins:
Proportion = (Number of cousins in Texas / Total number of cousins) ×100%
Percentage = (12 / 15)× 100%
Percentage = 0.80 × 100%
Percentage = 80%
Therefore, 80% of Mimi's cousins live in Texas.
name the property of real numbers illustrated by the equation (2+ √5) + 3=2 + (√5+3)
please help
Answer:
it's associatively property of addition
(a+b)+c= a+(b+c)
Find the value that makes the ratios equal. 51/18=x/6
Help! I need help with this math problem. Only need to to D! (Will mark brainliest if you do all of them, though. :])
Answer:
Answer to D: 3/5
Step-by-step explanation:
There are 5 songs.
And 3 of them have the word "Mama" in the title.
Make 5 the total amount of songs and 3 songs are how many times the word "Mama" appears once in each song.
The height of a triangle is twice it's base. If the area of the triangle is 40 cm squared, what is the measure of it's height
Which of the two real numbers are greater? The square root of 3 or 1/3
Answer:
√3 is greater than 1/3:
√3 = about 1.7
1/3 = about .3
The square root of 3 is greater than 1/3.
To determine which of the two real numbers is greater, we can compare their values directly. The square root of 3 is a well-known irrational number, and its approximate value is 1.732. On the other hand, 1/3 is a rational number with a value of approximately 0.333.
Let's compare the two:
- The square root of 3: [tex]\sqrt(3)[/tex] = 1.732
- One third: 1/3 = 0.333
It is clear that 1.732 (the approximate value of √3) is greater than 0.333 (the approximate value of 1/3). Therefore, the square root of 3 is greater than 1/3.
What is the solution set of 4x2 - 36 = 0?
4x^2 - 36 = 0
4x^2 = 36
x^2 = 36/4
x^2 = 9
sqrt{x^2} = sqrt{9}
x = - 3 and x = 3
A human heart beats approximately 60 times per minute. If a man lives to the age of 90, how many times will his heart in his lifetime.
Answer:
90 Years = 47,304,000 Minutes = 47304000 Minutes.
Step-by-step explanation: