Answer:
D -6, 15
Step-by-step explanation:
Because 3,11 is the middle, and 12,7 is the other end, you can do
12 - 3 = 9
3 - 9 = 6
then
11 - 7 = 4
11 + 4 = 15
so
6 is you x and 15 is your y
Express cos S as a fraction in simplest terms.
Answer: Read attachment.
Step-by-step explanation: Attached below is my work. Hope it helps!
At a soccer game, a vendor sold a combined total of 220 sodas and hot dogs. The number of sodas sold was 46 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
133 sodas
87 hot dogs
I've completed the work in the photo, just trying to reach the letter count lol
On a coordinate plane, a dashed solid line has an equation of y less-than five-thirds x + 1. It has a positive slope and goes through (negative 3, negative 4) and (0, 1). Everything to the right of the line is shaded.
Which linear inequality will not have a shared solution set with the graphed linear inequality?
y < Five-thirdsx – 2
y < Negative five-thirdsx + 1
y > Five-thirdsx + 2
y > Negative five-thirdsx + 2
The inequality is represented by y < 5/3(x+1)
Use the information about the straight line and find the equation of the line.
Given coordinates (-3,-4) and (0,1), we can find the slope
Slope,
Change in y = y2 – y1 = 1-(-4) = 5
Change in x = x2 – x1 = 0-(-3) = 3
Therefore, Slope (m) = Change in y / Change in x = 5/3
Equation of line using m = 5/3 and points (0,1) and (x, y) in form of y = mx + c
Y – 1/ X – 0 =5/3
3(Y-1) = 5(X)
3Y -3 = 5X
3Y = 5X + 3
Y = 5X + 3/3
Y = 5/3(X + 1)
To find the inequality take a point in the shaded region and check it in the above equation.
Given Options
a. y < Five-thirds x – 2
b. y < Negative five-thirds x + 1
c. y > Five-thirds x + 2
d. y > Negative five-thirds x + 2
Let’s take points (-3,-4) for verification
Option a: y < 5/3 (x-2)
-4 < 5/3(-3-2)
--4 < -3.33
-4 is less than -3.33
Thus option a is in the shaded region
Option b: y < -5/3 (x+1)
-4 < -5/3(-3+1)
--4 < 3.33
-4 is less than 3.33
Thus option a is in the shaded region
Option c: y > 5/3 (x+2)
-4 > 5/3(-3+2)
--4 > -1.67
-4 is NOT GREATER than -1.67
Thus option c is NOT in the shaded region
Option d: y > -5/3 (x+2)
-4 > - 5/3(-3+2)
--4 > 1.67
-4 is NOT GREATER than 1.67
Thus option d is NOT in the shaded region
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Answer:
y > Five-thirdsx + 2
Step-by-step explanation:
Help me please, geometry
Answer:
x = 19.5 (nearest tenth)
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 angle
O is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Use the cos ratio to find the measure of the altitude (the perpendicular drawn from the vertex of the triangle to the opposite side):
[tex]\implies \cos(47^{\circ})=\dfrac{a}{18}[/tex]
[tex]\implies a=18\cos(47^{\circ})[/tex]
Now use the sin ratio to the the measure of side x:
[tex]\implies \sin(39^{\circ})=\dfrac{a}{x}[/tex]
[tex]\implies x=\dfrac{a}{\sin(39^{\circ})}[/tex]
[tex]\implies x=\dfrac{18\cos(47^{\circ})}{\sin(39^{\circ})}[/tex]
[tex]\implies x=19.50671018[/tex]
Therefore, x = 19.5 (nearest tenth)
Waiting for answer, could u help?
Answer:
The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.
Domain of function is defined as the set of input values for which the function is defined i.e. the set of its possible inputs,
The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
Where m represent, number of miles he can ride.
Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.
Therefore, Domain of function is from 10 miles to 30 miles
Step-by-step explanation:
WILL GIVE THE BRAINLIEST!
If r and s are real numbers such that
r>s>0, then
(A) -s>-r> 0.
(B) 0>-r> -s.
(C) 0> -s> -r.
(D) -s>0> -r.
(E) -r> -s > 0.
Answer: Choice (C) 0> -s> -r
==========================================================
Explanation:
Let's consider an example. Pick any two positive numbers for r and s, where r is larger than s. I'll go with these:
r = 5s = 2We see that r > s is true since 5 > 2 is true
Also both are larger than 0 so we can say r > 0 and s > 0
This all combines into r > s > 0 being the case.
If we negate each number, then -r > -s would no longer be true. Use a number line to see that -5 is to the left of -2, so -5 > -2 is not true. Instead it would be -5 < -2
You can think of it like floors on a skyscraper. Positive numbers are above ground, while negative numbers are below ground in the basement levels. See the diagram below.
So -r > -s must be -r < -s instead. Both are smaller than 0
-r < 0 and -s < 0
This combines to -r < -s < 0
Flip everything and swap the outer sides to get 0 > -s > -r which leads us to choice C as the final answer
25) Which graph represents the equation below? ) = w+ 2 A ܠܐ 5 4 (2, 4) 3 2 1 (-2,0) -5 -4 -3 -2 -1 0 -1 x 1 2 3 4 5 -2 -3 -4 -5 8 y
The given line equation is y=-1/2x+2
We have given the graph of the line
We have to determine the equation of the line,
We have to points(0,2) and (4,0)
What is the formula for the slope?
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
m=0-2/4-0
m=-2/4
m=-1/2
What is the slope point form?[tex](y-y_1)=m(x-x_1)[/tex]
[tex]y-0=-1/2(x-4)\\y=-1/2x+2[/tex]
Therefore the second option is correct
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Question 13 of 50
Choose two statements (the original conditional statement and its converse)
that could form the biconditional "The object weighs a ton if and only if the
scale reads 2000 pounds."
A. If the object weighs a ton, then the scale reads 2000 pounds.
B. If the scale does not read 2000 pounds, then the object does not
weigh 2000 pounds.
C. If the scale reads 2000 pounds, then the object weighs a ton.
D. The scale reads 2000 pounds if and only if the object weighs a
ton.
it can be more then one answer too
Conditional statements are ones that begin with a hypothesis and end with a conclusion. The correct option is A and C.
What are conditional Statements?Conditional statements are ones that begin with a hypothesis and end with a conclusion. It is sometimes referred to as a "If-then" statement. If the hypothesis is correct but the conclusion is incorrect, the conditional statement is incorrect.
The two statements that among which one is original and the other one is its converse is If the object weighs a ton, then the scale reads 2000 pounds, and If the scale reads 2000 pounds, then the object weighs a ton.
Hence, the correct option is A and C.
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How much time do you actually save by speeding?
What is the solution to this system of equations
3x+y=17
X+2y=49
Answer:
x=−3 and y=26
Step-by-step explanation:
Let's solve your system by substitution.
3x+y=17;x+2y=49
Step: Solve 3x+y=17 for y:
3x+y=17
3x+y+−3x=17+−3x(Add -3x to both sides)
y=−3x+17
Step: Substitute−3x+17 for y in x+2y=49:
x+2y=49
x+2(−3x+17)=49
−5x+34=49(Simplify both sides of the equation)
−5x+34+−34=49+−34(Add -34 to both sides)
−5x=15
-5x/5 = 15/-5 (Divide both sides by -5)
x=−3
Step: Substitute −3 for x in y=−3x+17:
y=−3x+17
y=(−3)(−3)+17
y=26(Simplify both sides of the equation)
Answer:
x=−3 and y=26
Find the average of the numbers 6 4/7, 1 5/56, 9 1/7, 3 5/8. Write the solution as a mixed number or a fraction in lowest terms.
Answer:
[tex]\frac{187}{112}[/tex]
Step-by-step explanation:
Just add them all up in the calculator and divide by the number of numbers, which in this case is 4
Step-by-step explanation:
follow the steps in the attached
Evaluate.
-|a+b| 2-c when a=1 2/3 b=-1 ,and c= -3 Enter your answer as a simplified fraction in the box.
Step-by-step explanation:
-| 12/3 - 1| 2-(-3)
-|12-3/3|5
-5|9/3|
-5|3|
-5×3 & -5×-3
-15 & 15
I think it is the answer
PLEASEEEEEEEEEE HELPPPPPPPPPP!! IM SO CONFUSED HOW TO DO THIS!
Create a word problem that can be represented by this mathematical statement and solve your problem.
12! / 3! 9!
The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√
Answer:
The graph is translated 5 units left and 2 units down
Step-by-step explanation:
transformation =
initially the equation of graph [tex]y=\sqrt{x-2} = f(x)[/tex]
after transformation the equation becomes [tex]y = \sqrt{x+3} -2 = g(x)[/tex]
transformation done [tex]f(x) = \sqrt{x-2}[/tex] → [tex]g(x) = \sqrt{x+3} -2[/tex]
The horizontal shift of graphit depends on the value of h. The horizontal shift is described as:
g(x) = f(x + h) - The graph is shifted to the left h units.
g(x) = f(x - h) - The graph is shifted to the right h units.
if h=0, means that the graph is not shifted to the left or right
the vertical shift of graphThe vertical shift depends on the value of k. The vertical shift is described
as:
g(x) = f(x) +k - The graph is shifted up k units.
g(x) = f(x)- k - The graph is shifted down k units.
so here in the question the graph is shifted 5 units left and then 2 units down
you can see the graph of initial equation and transformed equation below.
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what would 41.2 hours converted into minutes?
Given: m∡MXY = m∡KXY
What is the conclusion reached by this proof?
Answer:
b
Step-by-step explanation:
just took it
Answer:
B. m∠JXY = m∠NXY
Step-by-step explanation:
I got the answer correct
A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet. What is the height of the tunnel 5 feet from the edge? Round your answer to the hundredths place.
9.99 feet
13.82 feet
24.65 feet
25.01 feet
The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
What is an ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.
2a = 60 (width of the tunnel is 60 feet)
a = 30
And the maximum height at the center of the tunnel is 25 feet
b = 25
Let's assume the center of the ellipse is at the origin.
So the equation of the ellipse:
[tex]\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1[/tex]
Now plug x = a - 5 = 30 - 5 = 25
[tex]\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1[/tex]
After solving:
[tex]\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}[/tex]
[tex]\rm y^2=\dfrac{6875}{36}[/tex]
y = ±13.819 ≈ ±13.82
Height cannot be negative
y = 13.82 feet
Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
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Dan sold 40 concert tickets in 5 days.
Each day he sold 3 tickets MORE than the
previous day. The number of tickets he
sold on the third day is?
Step-by-step explanation:
The number of tickets sold by Dan the first day is x.
Tickets sold on the 2nd day: x+3
on the 3rd day: x+6
on the 4th day: x+9
on the 5th: x+12
Since the total of tickets sold by Dan is 40:
x+(x+3)+(x+6)+(x+9)+(x+12)=40
5x+30=40
5x=10
x=2
number of tickets sold on the third day: 8
In our QR class, 43% live in Massachusetts. Of the Massachusetts residents, 67% live in
Boston. What percentage of the class lives in Boston?
Answer:
The answer will be 63%.
Step-by-step explanation:
they have all ready mentioned that.
Please help asap! 30 points
Given that f(x)=11, g(x)=x^2-6x+3, and h(x)= -x+4, find the function (g •h)(x).
Answer:
[tex](g \cdot h)(x)=x^2-2x+23[/tex]
Step-by-step explanation:
For composite functions, it's important to understand what the functions mean:
[tex](g\cdot h)(x)[/tex] which is read as "g of h, of x" means [tex]g ( \text{ }h(x) \text{ })[/tex] which is read as "g of, h of x" (with slight pauses at the comma). This means that x goes into the h function, and the output of the h function goes into the g function.
Putting "x" into the h function
[tex]h(x)=-x+4[/tex]
Since it is just "x" going into the h function, the function as written is the output when x is the input.
Putting the h function output, into the g function
[tex]g(x)=x^2-6x+3[/tex]
[tex]g(h(x))=(h(x))^2-6(h(x))+3[/tex]
Substitute
[tex]g(h(x))=(-x+4)^2+-6(-x+4)+3[/tex]
Squaring means the something multiplied by itself
[tex]g(h(x))=(-x+4)*(-x+4)+-6(-x+4)+3[/tex]
Use distributive property; (some people know binomial distribution as "FOIL" -- First, Outer, Inner, Last):
[tex]g(h(x))=[(-x)(-x)+4(-x)+4(-x)+4*4)]+[6x+4]+3[/tex]
Simplify the binomial terms:
[tex]g(h(x))=[x^2-8x+16]+[6x+4]+3[/tex]
Group like terms:
[tex]g(h(x))=x^2-2x+23[/tex]
Remember that [tex](g\cdot h)(x)[/tex] means [tex]g ( \text{ }h(x) \text{ })[/tex]
[tex](g \cdot h)(x)=x^2-2x+23[/tex]
So, [tex](g \cdot h)(x)=x^2-2x+23[/tex]
the length of a rectangle is 5 cm less than 3 times its width. The perimeter is 62 cm.
What is the length?
Answer:
length=22 [cm].
Step-by-step explanation:
1) if the length is 'l' and the width is 'w', then it is possible
2) to write the given perimeter: 62=2(l+w), - this is the 1st equation of system;
3) to write the condition 'the length of a rectangle is 5 cm less than 3 times its width' as 3w-5=l, - this is the 2d equation of the system.
4) using two equations above it is possible to make up the next system:
[tex]\left \{ {{2(w+l)=62} \atop {3w-5=l}} \right. \ = > \ \left \{ {{w+l=31} \atop {3w-l=5}} \right. \ = > \ \left \{ {{l=22} \atop {w=9}} \right.[/tex]
5) finally, the length=22 [cm].
Which of the following is correct based on this picture?
B. none of these are correct
If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018? Be careful to treat the year 2000 as the beginning; let x be the number of years since the year 2000.
The answer is not 2,100
The population at the end of the year 2018 will be 2150.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.
The population will be calculated as the year 2000 is also considered:-
P = Total years x Increase per year
P = 19 x 50
P = 2150
Therefore the population at the end of the year 2018 will be 2150.
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Simplify the following expression. (2x − 1)(3x + 2) Simplify the following expression . ( 2x − 1 ) ( 3x + 2 )
question is in the image below please help
Answer:
p= 80
Step-by-step explanation:
p+8 = 8 x 11
p+8 = 88
p= 88-8
p= 80
Figure ABCD is transformed to obtain figure A′B′C′D′:
DIAGRAM INCLUDED! 100 Points!
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Part A
Reflect over the y-axis: (x, y) → (-x, y)Part B
Two figures are congruent if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
4x² + 24x + 20
common factor =
When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Choose all of the following statements that are true.
a.
The domain is {4, 8, 11, 15}.
b.
An 11 gallon tank would cost $44.00 to fill completely.
c.
A 9.1 gallon fill-up would cost $35.49.
d.
A 12 gallon tank would cost $47.40 to fill completely.
Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.
What is a domain?The whole of the independent variable's possible values makes up the domain of a function.
For the given data we need to find which of the given statements are true.
From option A:
The domain is {4, 8, 11, 15}.
The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.
Therefore, option A is False.
From option B:
An 11-gallon tank would cost $44.00 to fill completely.
From the given table we can see that 11-gallon tank costs $43.45.
Therefore, option B is False.
From option C:
A 9.1-gallon fill-up would cost $35.49.
To find 9.1 gallons we need to find the cost of 1-gallon.
That is, 15.80/4 = $3.95 (Given in the table)
Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49
Therefore, option C is False.
From option D:
A 12-gallon tank would cost $47.40 to fill completely.
We found that 1 gallon is $3.95.
$3.95 x 12 = $47.40
Therefore, option D is True.
Hence, from the given statements option D is True.
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The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular soda if the pH level is 2.3.
Answer:
Step-by-step explanationp :
ph =lo 4
Please need the answer ASAP for number 3!!!!
Answer:
second and fourth option
Step-by-step explanation:
the discriminant of a quadratic equation is the easiest way to know how many solutions there will be
(discriminant: b²- 4ac)
{a discriminant of 0 means 1 solution; discriminant < 0 means no real roots, discriminant > 0 means two real roots }
so, we can quickly run b² - 4ac for each equation provided:
(note: ax² + bx + c is the formatting we use to find a, b, and c)
8² - 4(-9)(-8)
64 - 288 = -224
4² - (4)(1)(4)
16 - 16 = 0
-1² - (4)(-10)(-9)
-1 - 360 = -361
-6² - (4)(3)(3)
36 - 36 = 0
So, because the second and fourth options listed have a discriminant of 0, they have 1 real solution
hope this helps!! have a lovely day :)