h(x) = x2 + 1 k(x) = x – 2
Evaluate 3h(2) + 2k(3) =
Answer:
17
Step-by-step explanation:
\(h(x) =x^2 +1\\k(x)=x-2\\\\3h(2)+2k(3)\\\\h(2)= ?\\k(3)=?\\\\h(2) = (2)^2 +1\\= 4+1\\h(2)=5\\\\\\k(3)= 3-2\\k(3) = 1\\\\3h(2) +2k(3)\\\\= 3(5)+2(1)\\=15+2\\3h(2)+2k(3) = 17\)
5, 9, and 17
Step-by-step explanation:
A group of 70 people attended a ball game. There were four times as many children as adults in the group. Set up a system of equations that represents the number of adults and children who attended the game and solve the system to find the number of adults and the number of children who were in the group.
Answer:
4b+b=70
5b=70
b=14
Step-by-step explanation:
4(14)+(14)=70
Correct answer gets brainliest and thank you comment!! Explain your reasoning!
Step-by-step explanation:
Side side side (SSS) because both triangles share AC, BC and CD are the same, AB and AD are the same.
Fabiola is reviewing for the Algebra 1 End-of-Course exam. She made this graph
representing a system of inequalities.
Circle the ordered pairs below that represent solutions to the system of
inequalities.
(−6, 3) (−3, 3) (0, 3) (0, 0) (6, 0)
(−6, −6) (−3, −6) (−6, 6) (−4, 2) (3, −3)
Answer
(-6. 3) (-6, 6) (-4, 2)
Step-by-step explanation:
the solution is the dark area between the two lines.
the only trick would be if one of the points fell on the dotted line.
all points on the dotted line are not included but all points on the solid line are included.
show that if x < y are real numbers then there are innitely many rational numbers b such that x < b < y. g
To show that there are infinitely many rational numbers between any two real numbers x and y, where x< y, we can use the Archimedean property of the real numbers.
The Archimedean property states that for any two positive real numbers a and b, there exists a positive integer n such that na>b. Let's choose a positive integer n such that 1/n< y-x. Then we can divide the interval(x,y) into n subintervals of equal length:
(x, y) = (x, x + (y - x)/n) ∪ (x + (y - x)/n, x + 2(y - x)/n) ∪ ... ∪ (x + (n - 1)(y - x)/n, y).
Each of these intervals has length(y-x)/n, which is less than 1/n. therefore, there must be at least one integer k such that x+k(y-x) is a rational number. This is because the numerator k(y-x) is an integer, and the denominator n is a positive integer.Since there are n subintervals, we have found at least n different rational numbers between x and y.
However, since the choice of n was arbitrary we can choose a larger n to find even more rational numbers between x and y. Therefore, there must be infinitely many rational numbers between x and y.
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Let x and y be reals with x<y. Show that there are infinitely many rationals b such that x<b<y.
xA radioactive isotope is decaying at a rate of 20% every hour. Currently there are 15 grams of the substance.
Questions:
A. Write an equation that will represent the number of grams present after n hours
B. How much will be left after 24 hours (one day)? (Round to the nearest hundredth)
C. After how many hours will there be approximately one gram left?
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
A. To represent the number of grams present after n hours, we can use the equation:
N(n) = 15 × (1 - 0.2)^n
Where:
N(n) is the number of grams present after n hours,
15 is the initial amount of the substance in grams,
0.2 represents the decay rate of 20% per hour, and
^n represents the exponentiation operation.
B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:
N(24) = 15 × (1 - 0.2)^24
Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.
C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:
1 = 15 × (1 - 0.2)^n
To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:
log(0.8)(1/15) = n
Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.
Therefore, the answers are:
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
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The midpoint of a segment is (2, -8) and one of the endpoints is (3,6). What are the coordinates of the other endpoint?
Step-by-step explanation:
I really hope that that will be of help to you
Evaluate if a = 6, b = 2, c = 9, & d = 3
Answer:
12
Step-by-step explanation:
a2 b
( )2 ( )
(–2)2 (3)
(4)(3)
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
Hayyy im back Yall give me good luck
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Substitute the x's for multiplication signs
\(5^{2} x(7-3)/5=25x(7-3)/5=25x(4)/5=100/5=20\)
How do you do this question?
Answer:
Cartesian Equation: y = √(1 - x^2)
Graph: Second one
Step-by-step explanation:
x^2 = sin^2(θ/2),
y^2 = cos^2(θ/2),
According to that theory, by the circle equation, x^2 + y^2 = 1^2.
When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0
When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0
The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;
When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,
In Cartesian form, the equation is y = √(1 - x^2)
The smallest multiple of 13 is
Answer:
0
Step-by-step explanation:
The smallest (greater or equal to zero) multiple of 13 is 0
to get a positive multiple of 13 you have to multiply 13 by a natural number:
0 = 13×0
13 = 13×1
26 = 13×2
.
.
.
then the smallest one is 0.
Consider points a, b, and c in the graph. Determine which of these points is relative maxima on the interval x = –1 and x = 1 in the graph
A point which is relative maxima on the interval x = –1 and x = 1 in the graph is point a.
What is a relative maxima?In Mathematics and Geometry, a relative maxima can be defined as a maximum point on the graph of a function which is typically higher than the points that are directly close (beside) to it on both sides or over a specific interval on the x-coordinate (x-axis).
This ultimately implies that, a relative maxima refers to the maximum point on the graph of a function over a short (minimal) interval.
By critically observing the graph of a function, we can logically deduce that point a at the origin (0, 0) is the only point that represents relative maxima on the interval x = –1 and x = 1.
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Use the following information for the next three problems.
Your sister starts a new business selling iced tea. She borrowed money from you for the initial supplies, which cost a total of $15.75. She plans to charge $0.35 for each glass of iced tea.
If your sister sells 30 glasses of iced tea, which of the following statements would be true?
Question 3 options:
She will pay you back all $15.75 and still have $1.75 left over.
She will make $10.50 and still owe you $5.25.
She will make $15 and still owe you $0.75.
She will pay you back and have nothing left over.
Answer:
Question 1 - she will make $10.50 and still owe you $5.25 because 0.35 x 30 = 10.25
question 2 - for this im not sure because the 2nd, 3rd and 4th wont work so it should be the first but I’m not sure what that equation is saying
question 3 - 29 glasses need to be sold
⭐ Answered by TurttlePrincess
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
FOR PART 2;
She will make $10.50 and still owe you $5.25 for the payback. Option B is correct.
Given that,
Borrowed money for the initial supplies, which cost a total of $15.75. She plans to charge $0.35 for each glass of iced tea.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total money borrowed = $15.75
cost per glass of ice tea = $0.35
Total cost for 30 glasses of tea = 0.35 * 30 = $10.5
So she will pay the pack $10.5
Remaining money = 15.75 - 10.5 = 5.25
Thus, she will make $10.50 and still owe you $5.25. Option B is correct.
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12. Find the Volume of the rectangular prism below. Write your final answer as a decimal by converting the fraction to decimal. Also write the units as cubic inches. * 13 in. 2 in. 3 in
Answer:
V = 9.75 cubic inches.
Step-by-step explanation:
Given the following data;
Length = 2 inches
Width = 3¼ inches
Height = 1½ inches
To find the volume of rectangular prism;
Volume of rectangular prism = length * width * height
V = 2 * 3¼ * 1½
V = 2 * 13/4 * 3/2
V = 2 * 39/8
V = 2 * 4.875
V = 9.75 cubic inches
Find the equation of the line shown.
Answer:
(0,5) will be linear equation
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
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What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
Please Help ~ Simple Calc. - Using the graph of g(x) below, answer the following questions:
#1
g(x)>0\(\\ \sf\longmapsto (0,0)\cup (2,0)\)
#2
g(x)<0\(\\ \sf\longmapsto (-11,0)\cup (0,0)\)
#3
g(x)=0\(\\ \sf\longmapsto \left[(1,0),(-2,0),(-6,0),(-11,0)\right]\)
#4#5#6
Will be same like #1#2#3 respectively
Solve the right triangle using the given information.
a= 76.5 yd, b=40.1 yd
c= 86 yd
(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed.)
A=00'
(Simplify your answers. Type integers. Round to the nearest ten minutes if needed.)
8='
(Simplify your answers. Type integers. Round to the nearest ten minutes if needed.)
II
B
The triangle is not a right triangle because the Pythagorean Theorem (c² = a² + b²) is not satisfied.
What is the Pythagorean Theorem?
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, which is opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the given values of a and b do not satisfy the equation:
c² = a² + b²
(86)² = (76.5)² + (40.1)²
7396 = 5862.25 + 1608.01
7396 = 7470.26
This means that the triangle with sides a = 76.5 yd, b = 40.1 yd, and c = 86 yd is not a right triangle.
Hence, The triangle is not a right triangle because the Pythagorean Theorem (c² = a² + b²) is not satisfied.
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3-6(1 +n)
I don’t need the variable solve
Answer:
-6n -3
Step-by-step explanation:
I'm assuming that if you don't need the variable solved, then you need it converted? here's another form.
Find a line that is perpendicular to y = 2/5x-1 that goes through (3,6)
Answer:
y = -5/2x + 27/2
Step-by-step explanation:
line formula is y = mx + b
perpendicular means number next to the x (slope or m) becomes a negative reciprocal
2/5x -> -5/2x
then use point slope formula
y - y1 = m (x - x1)
y - 6 = -5/2 (x - 3)
y - 6 = -5/2x + 15/2
y = -5/2x + 15/2 + 6
y = -5/2x + 15/2 + 12/2
y = -5/2x + 27/2
Without solving, tell what is true of the product of 3 and 2/3 =?
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.
A)
g(x) = −(1∕3)x
B)
g(x) = 3−x
C)
g(x) = −3−x
D)
g(x) = −3x
Answer: D
Answer:
the answer is D
hope it will help
An airplane travels 5418 kilometers against the wind in 9 hours and 6588 kilometers with the wind in the same amount of time. What is the rate of the plane in
still air and what is the rate of the wind? ANSWER ASP PLS
Answer: I rate the wind 5 stars.
Step-by-step explanation:
Gives us some fresh air when we go outside.
What is the volume of this object?
__u3
Answer:
15u³
Step-by-step explanation:
To find volume ↓
Volume
= length × width × height
= 2u × 2½u × 3u
= 15u³
Hope this helps =)
Write three equivalent ratios to the given
ratios 4 to 8 and 5 to 10?
Answer:
1 to 2, 2 to 4, 3 to 6
Step-by-step explanation:
4s double is 8, 5s double is 10, so whichever you choose just double it.
In mathematically, 8/4 = 2, 10/5 = 2, so x to 2x
Which fraction is greater 2/6 or 2/3 explain how you know your answer
Answer:
2/3 is greater.
Imagine a pizza is split into 3 slices. You eat 2. You would eat 2/3 of the pizza.
If a pizza is split into 6 pieces and you ate 2 slices, you would be eating less.
Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.50 per
cubic yard. What is the total value of the liquid in the tank? Use 3.14 for
$1695.60
$6782.40
$904.32
$565.20
The solution is Option B.
The total cost of the liquid in the spherical tank is $ 6782.40
What is a Sphere?
A sphere has a spherical, symmetrical shape. It is a three-dimensional solid with equal distances between each surface point and the center. On the basis of its radius, it has a surface area and a volume. There are no faces, corners, or edges on it.
The volume of a sphere is given by the formula
Volume of Sphere = ( 4/3 )πr³
where r is the radius of the sphere
Given data ,
Let the total cost of the liquid in the spherical tank be = A
Let the radius of the spherical tank be = R
The value of R = 6 yards
Now the cost of the liquid in the tank per cubic yard = $ 7.50
And ,
The volume of spherical tank = ( 4/3 )πR³
Substituting the values in the equation , we get
The volume of spherical tank = ( 4/3 ) x 3.14 x ( 6 )³
The volume of spherical tank = 25.12 x 6 x 6 x 6
The volume of spherical tank = 904.32 yards³
Now ,
The total cost of the liquid inside the spherical tank A = cost of the liquid in the tank per cubic yard x volume of spherical tank
Substituting the values in the equation , we get
The total cost of the liquid inside the spherical tank A = 7.50 x 904.32
The total cost of the liquid inside the spherical tank A = $ 6782.40
Therefore , the value of A is $ 6782.40
Hence , the volume of sphere is 904.32 yards³ and the cost of the liquid inside the tank is $ 6782.40
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