Answer:
10 1/2 gallons = 42 quarts:)
I'm going to need help with this question screenshot of it is down below
Answer:
first choice
Step-by-step explanation:
First, observe the axis.
The graph has labeled:
vertical axe as h (hight) and
horizontal axe as t (time).
Second, observe on the graph that the object is dropped from the height 120 feet because at the point t = 0 (when the drop did not start yet) the height is h = 120.
→We can eliminate the last choice that said "object is dropped from -16 feet"
Third, the equations for the hight of the object after t seconds are when the object is dropped from 120 feet are:
h(t) = -16t² + 120
if t= 0 then hight should be 120
h(t) = -16·0² + 120 = 120 ✅
and
h(t) = -16t² - 120
if t= 0 then hight should be 120
h(t) = -16·0² - 120 = - 120 ❌
→Eliminate the second choice that said at t=0 , h(t) = -120
→The first choice is the correct one
A website has both pictures and songs that are available for customers to download. Each picture has an average
size of 650 kilobytes. Each song has an average size of 2,200 kilobytes. On Thursday, a total of 16 files were
downloaded. A total of 18,150 kilobytes were downloaded.
Determine two equations that could be used to determine the number of pictures, x, and songs, y, that were
downloaded on Thursday.
The two equations that could be used to determine the number of pictures (x) and songs (y) is x + y = 16 and 650x + 2200y = 18150
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of pictures and y represent the number of songs, hence:
x + y = 16 (1)
And:
650x + 2200y = 18150 (2)
The two equations that could be used to determine the number of pictures (x) and songs (y) is x + y = 16 and 650x + 2200y = 18150
Find out more on equation at: https://brainly.com/question/2972832
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Which is the dependent variable in the following situation?
"The teacher ordered two binders for each student."
Answer:
C number of binders because the teacher would have to order binders depending on how many students there are.
Step-by-step explanation:
Given that f(x)=2x-3 find f-1(7)
Answer:
[tex]\displaystyle \large{f^{-1}(7)=5}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=2x-3}[/tex]
To find:
[tex]\displaystyle \large{f^{-1}(7)}[/tex]
Inverse Function Definition:
A function that swaps domain to range and range to domain is called an inverse function.Notation Definition (Example - Exponential Function and Logarithm are Inverse to each other.)
[tex]\displaystyle \large{f(x) = \{(x,y) \in \mathbb{R} \times \mathbb{R^{+}} \ | \ y=a^x, a\neq 1, a > 0 \}}\\\displaystyle \large{f^{-1}(x) = \{(x,y) \in \mathbb{R^{+}} \times \mathbb{R} \ | \ y=\log_a x, a\neq 1, a > 0 \}}[/tex]
Notice that both functions have swapped domain and range. Domain is set of all x-values while range is set of all y-values.
Inverse Property:
Inverse of Inverse Function will convert itself back to original f(x) function.Back to the question, first, we have to find an inverse of linear function. We can do by swapping x and y [f(x)] variables.
[tex]\displaystyle \large{f(x)=2x-3 \to x=2f(x)-3}[/tex]
Solve for f(x):
[tex]\displaystyle \large{x=2f(x)-3}\\\displaystyle \large{x+3=2f(x)}\\\displaystyle \large{f(x)=\dfrac{x+3}{2}}\\\therefore \displaystyle \large{f^{-1}(x)=\dfrac{x+3}{2}}[/tex]
Therefore, the inverse is (x+3)/2. Next, we find [tex]\displaystyle \large{f^{-1}(7)}[/tex] which we can do by simply substituting x = 7 in the inverse.
[tex]\displaystyle \large{f^{-1}(7)=\dfrac{7+3}{2}}\\\displaystyle \large{f^{-1}(7)=\dfrac{10}{2}}\\\displaystyle \large{f^{-1}(7)=5}[/tex]
Therefore, the answer is 5.
How do you find the radian of any given degree.
To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.
hope it helps...!!!
Answer:
there are 2pi radians in a circle
there are also 360 radians in a circle
let r = radians and d = degrees
2*pi*r=360*d
2pi/360*radians = degrees
(pi/180)*radians = degrees
What number is halfway between
1.7 and 3.2 ?
Answer:
2.5
Step-by-step explanation:
i am not absolutely sure but according to me it is right
ANSWER:
2.45
Expalnation:
If you add/subtract 0.75 to the corrct side, you'll get 2.45.
3.2-2.45=0.75
2.45-1.7=0.75
Hence, this is the corrct answer.
PLEASE ANSWER THESE I WILL GIVE BRAINLIEST
I need them for math
thank you!!
Answer:
I believe 20. is (0,0)
Step-by-step explanation:
Sorry if I'm mistaken, I don't know number 18. though. I'm terribly sorry. I hope you figure it out soon and you have an amazing day! ^^ <3
CAN SOMEBODY HELP IM LOST WITH THIS THIS EQUATION
Answer:
1. C(d)=0.69x+25.95
2. C(d)=0.69(57)+25.95
[0.69 times 57 is 39.33]
= 65.28 dollars
3. 136.3 miles
Step-by-step explanation:
For the first question....
Since this is a function, we have to start with C(d). Even if you drive 0 miles, you still have to pay $25.95 just for renting the truck, so that is constant. For every mile you drive, you pay $0.69. Since we don't know how far anyone is going to drive, we will put 'x' as the amount of miles driven. The number of miles driven (x) multiplied by 0.69 will be the cost of that. The final function would be C(d)=0.69x+25.95.
For the second question....
We know the general function now, so driving 57 miles would mean substituting "x" for 57, and doing the multiplication (if necessary), 0.69 times 57 equals 39.33 (the dollar amount for driving 57 miles, not including the starting fee of 25.95)
Doing the math, you can get $65.28 (39.33+25.95).
For the third question...
If we have a budget, we know that C(d) is the amount of money spent, so we'll substitute the budget (120) for that. We'll solve the equation for x from there, and should get 136.3 miles (rounded to the nearest hundredth).
Hope this helps!
What quadrilateral always has 4 congruent angles and opposite sides that are congruent and parallel?
Answer:
A Rectangle should fit all these rules.
The Happy Widget Company has a fixed cost of $1,378 each day to run their factory and a variable cost of $1.83 for each widget they produce.
Create a linear model for their daily cost.
How much does it cost them to produce 267 widgets?
The linear model for the daily cost is C(x) = $1378 + $1.83(x).
The cost of producing 267 widgets is $1,866.61
What is the cost of producing 267 widgets?
Fixed cost is the cost the remains constant with the number of widgets produced. Variable cost increases with the number of widgets produced. Daily cost is the sum of fixed cost and variable cost.
Fixed cost = fixed cost + (variable cost x number of widgets)
C(x) = $1378 + $1.83(x).
C(x) = $1378 + $1.83(267) = $1,866.61
To learn more about fixed cost, please check: https://brainly.com/question/25879561
Urgent!! Please help!!
Answer:
1100/7
Step-by-step explanation:
Because, this is half circle then if we need the length of it we will use the circumference (2 x pie x r) x 1/2
Here is a right angled triangle work out the value of x using trigonometry
[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
Answer:
Summary:
The solution to 2.5 - 1.2x < 6.5 - 3.2x lies in the interval (-∞, 2).
An athlete who participates in team sports tend
A. to have narrow concentration.
B. to be an extrovert.
C. to have more anxiety.
D. to be an introvert.
Answer:
Option B is the answer
am not really sure though
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Answer:
The data is skewed left
Less than
Median is 22
mean is 20.2
Step-by-step explanation:
median: 15,16,18,19,22,22,22,22,23,23
mean: 15+16+18+19+(22x4)+(23x2)=
31+37+88+46=
68+134=202÷10=20.2
Timmy has a square backyard with a width of (2x-5). he wants to lay new sod. what is the area of his yard?
Answer:
[tex] {4x}^{2} - 20x + 25[/tex]
Step-by-step explanation:
[tex] {(2x - 5)}^{2} = {(2x)}^{2} - 2(2x)(5) + {5}^{2} = 4 {x}^{2} - 20x + 25[/tex]
56. How many tangent lines to the curve [tex]y=x /(x+1)[/tex] pass through the point (1,2)? At which points do these tangent lines touch the curve?
There are 2 tangent lines that pass through the point
[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]
and
[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]
Explanation:
Given:
[tex]y=\frac{x}{x+1}[/tex]
The point-slope form of the equation of a line tells us that the form of the tangent lines must be:
[tex]y=m(x-1)+2[/tex] [tex][1][/tex]
For the lines to be tangent to the curve, we must substitute the first derivative of the curve for [tex]m[/tex]:
[tex]\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\[/tex]
[tex]\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}[/tex]
[tex]\frac{dy}{dx}= \frac{1}{(x+1)^2}[/tex]
[tex]m=\frac{1}{(x+1)^2}[/tex] [tex][2][/tex]
Substitute equation [2] into equation [1]:
[tex]y=\frac{x-1}{(x+1)^2}+2[/tex] [tex][1.1][/tex]
Because the line must touch the curve, we may substitute [tex]y=\frac{x}{x+1}:[/tex]
[tex]\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2[/tex]
Solve for x:
[tex]x(x+1)=(x-1)+2(x+1)^2[/tex]
[tex]x^2+x=x-1+2x^2+4x+2[/tex]
[tex]x^2+4x+1[/tex]
[tex]x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}[/tex]
[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex]
[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex] [tex]and[/tex] [tex]x=-2-\sqrt{3}[/tex]
There are 2 tangent lines.
[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]
and
[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]
Jordan spent $18. At the used bookstore.each book cost $0.45 how many books did Jordan buy?
the square root of 8 divided by the square root of 3n^3
Answer:
First, evaluate 3^3
3^3 means three times itself three times.
[tex]3 * 3 * 3 = 27[/tex]
[tex]\sqrt{27} = 5.19[/tex]
Next, square root eight.
[tex]\sqrt{8} = 2.82[/tex]
Now, divide the two numbers.
[tex]5.19 / 2.82 = 1.84[/tex] if needed, include full form: 1.840425531914894
(3n)³ = 27
= 27√8 = 2.82
= 27√8 = 2.82√27 = 5.19
5.19/2.82 = 1.84
Here is your answer buddy..
Which of the following is true of the composition F(G(H(X)))?
A. The function G(F(H(x))) depends on G(H(x)).
B. The function F(G(H(x))) depends on H(G(x)).
C. The function H(G(F(x))) depends on G(F(x)).
D. The function F(G(H(x))) depends on G(H(x)).
SUBMIT
Answer:
D. F(G(H(x))) depends on G(H(x))
Step-by-step explanation:
A function depends on its argument (the stuff in parentheses after the function name). The argument of function F in F(G(H(x))) is G(H(x)).
F(G(H(x))) depends on G(H(x))
__
Answer choices A and C do not make any statement about the given composition. Answer choice B shows a composition (H(G(x))) that has no relation to the argument of function F.
Answer: D. F(G(H(x))) depends on G(H(x))
Step-by-step explanation:
help my sis needs help asap
Answer:
152 in^2
Step-by-step explanation:
If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.
80 + 72 = 152 in^2
Answer:
It should be D
Step-by-step explanation:
I think it’s D since that’s what I got
The equation of a circle is given below.
(x - 5)² + (y + 2)² =81/4
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer:
Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2
Step-by-step explanation:
where a and b are the center off sets in the x and y directions , repspectively.
(x - 5)² + (y + 2)² =81/4
So you now know, the center is at (x,y) = ( 5, 2)
and the radius is [tex]\sqrt{\frac{81}{4} }[/tex] , why is is square rooted ? you ask.
because in our formula above it's r^2 .. so we need to square root it to find it's value.
[tex]\frac{\sqrt{81} }{\sqrt{4} }[/tex] = [tex]\frac{9}{2}[/tex] = 4.5 rounded to two decimals 4.50 but not necessary
Flight A left Las Vegas headed to San Diego traveling at 460 mph. At the same time, Flight B leaves San Diego headed to
Las Vegas traveling at 500 mph. If the two cities are 331 miles apart, what time,t, should
the alr?
the flights pass each other In the air
the diameter of a circle is 24 centimeters. what is the circles area? use 3.14 for pi
Answer:
452.16
Step-by-step explanation:
di is twice the radius and to get area you need radius so 24/2=12
now insert 12 into the formula 12^2*3.14 now use pemdas
12^2=144
144*3.14
452.16
Answer:
Area of circle = 452.16
Step-by-step explanation:
Conversion of diameter into radius,
→ r = 24/2
→ [ r = 12 ]
Formula we use,
→ Area = π × r²
Now the area of circle will be,
→ π × r²
→ 3.14 × (12)²
→ 3.14 × 144
→ 452.16
Hence, area of circle is 452.16.
The chart contains 5 red marbles, 11 yellow marbles, 7 blue, 10 green, and 5 brown
P(green)=
Answer:
5
19
Step-by-step explanation:
Is the correct answer to the probability
Perform the given operation :
(1+5i) (5+3i)
Answer:
-10 + 28i
Step-by-step explanation:
Multiply the binomials ↓
1*5+3i+(5i*5)+(5i*3i)
Simplify ↓
5+3i+25i+15i²
Combine like terms ↓
5+28i+15i²
Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓
5+28i-15
28i-15+5
28i-10
So the final ans is 28i-10hope helpful ~
Please help me thank you!!
Answer:
Q1: 6
Med: 11
Q3: 13
Box plot: Place the far left line on 2 and the far right line on 14 to represent the minmum and maximum. For the box, drag the middle line inside to 11, keep the left side of the box on six and drag the right side to 13. It should look like the picture below when you're done.
Step-by-step explanation:
hope this helps!
1. At the gym on Monday, Larry is told to up his weight on the bench-press by 15% from last week. Last week he was bench-pressing 200 pounds. How many pounds should he bench-press this week?
Answer:
300 lbs
Step-by-step explanation:
We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.
You pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle, and then pick another card. This time you draw a queen. How are the two events of picking a king and picking a queen related?
Answer:
The two events are independent
Step-by-step explanation:
Since the king was placed back in the deck and the deck was re-shuffled,
the drawing of a king does not effect the probability of subsequently drawing a queen.
The probability of picking the queen is independent of the probability of picking the king.
pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle, and then pick another card. This time you draw a queen. How are the two events of picking a king and picking a queen related to be justified
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
There is a 52-card deck.
Pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle,
Probability can be given as for the draw of the king,
p = 1/52
Put it back in the pack, shuffle, and then pick another card. This time you draw a queen.
Probability can be given as for the draw of the queen,
p = 1/52
Since both probabilities is the same it implies the probability of one event is independent of the other.
Thus, the probability of picking the queen is independent of the probability of picking the king.
Learn more about probability here:
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
a=13m
Step-by-step explanation:
that's it in the picture
Answer:
[tex]\sf a=\boxed{13}\:cm[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°O = aH = 25 m[tex]\implies \sf \sin(31^{\circ})=\dfrac{a}{25}[/tex]
[tex]\implies \sf a=25\sin(31^{\circ})[/tex]
[tex]\implies \sf a=12.87595187...\:cm[/tex]
Therefore, a = 13 cm (to the nearest whole number)