Answer: 0.65=13/20
Step-by-step explanation: First, rewrite the decimal number as a fraction and put 1 in the denominator's place. 0.65/1
Then, multiply to get rid of 2 decimal places. Then, multiply top and bottom by 10^2 which equals 100
0.65/1 × 100/100= 65/100
Find the Greatest Common Factor or GCF of 65 and 100, and reduce the fraction by dividing both the numerator and denominator by GCF = 5,
[tex]\frac{65/5}{100/5}[/tex]=13/20
Hope this helps!
What is 30x2? Id love to know
Examine the rhombus below slove for x 5x-3
Please help it for a test worth 95 points
Answer: I'm pretty sure the answer is either 18.6, or 90
Tell me in the comments if I'm wrong
Descartes sees 18 oranges on the tree and 13 on the ground.
Newton sees 6 on the ground. Descartes and Newton see the
same amount of oranges. How many oranges does Newton
see on the tree?
which of the following rational functions is graphed below? A. F(x)=(x+2)/(x-2) B. F(x)=(x-1)/x(x-2) C. F(x)= (x+2)/(x+1) D. F(x)= (x+1)/(x+2)(x-2)
Answer:
[tex]C. \; \dfrac{x+2}{x+1}[/tex]
Step-by-step explanation:
Since the vertical asymptotes are at x = -1
This means the denominator must have x + 1 in it
The only expression is the one in choice C
Please help need to turn in asap
Answer:
4.5 or equivalently 4 1/2 or 9/2
All are equivalent
Units are miles/hour
Step-by-step explanation:
Take any two points on the graph. Divide the change in y values to the change in x values and you get the rate
Chosen points: (0, 0) and (2, 9)
Rate of change = (9-0)/(2-0) = 9/2 = 4.5
please help me! i have a test rn and i am struggling. please send answer ASAP!!
Find an equation for line l,m,n,p
The linear functions in this problem are given as follows:
Line l: y = 4.Line m: y = -2x + 4.Line n: y = x - 1.Line p: x = -4.How to define the linear functions?First we define the horizontal line l, given as follows:
l: y = 4.
(as no matter the value of x, the output variable assumes a value of 4).
Then the vertical line p is defined as follows:
p: x = -4.
(as no matter the value of the output y, the input variable x assumes a value of -4).
For the remaining two lines, they are defined in the slope-intercept format, as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope, representing by how much y changes when x is increased by one.b is the y-intercept, representing the value of y when the function crosses the x-axis, that is, when x = 0.More can be learned about linear functions at https://brainly.com/question/24808124
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NO LINKS!! Based on each graph below, find the equation of the exponential function y= ab^x
Answer:
[tex]\textsf{a)} \quad y=3\left(\dfrac{5}{3}\right)^x[/tex]
[tex]\textsf{b)} \quad y=40\left(\dfrac{1}{3}\right)^x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
Question (a)From inspection of the diagram, two points on the graph are:
(0, 3)(1, 5)The y-intercept is the y-value when x = 0.
As a is the y-intercept, and the y-intercept is 3:
[tex]\implies y=3 \cdot b^x[/tex]
Substitute point (1, 5) into the equation and solve for b:
[tex]\begin{aligned}(1,5) \implies 5&=3 \cdot b^1\\5&=3b\\b&=\dfrac{5}{3}\end{aligned}[/tex]
Therefore, the equation of the exponential function is:
[tex]y=3\left(\dfrac{5}{3}\right)^x[/tex]
Question (b)From inspection of the diagram, two points on the graph are:
(0, 40)(-1, 120)The y-intercept is the y-value when x = 0.
As a is the y-intercept, and the y-intercept is 40:
[tex]\implies y=40 \cdot b^x[/tex]
Substitute point (-1, 120) into the equation and solve for b:
[tex]\begin{aligned}(-1,120) \implies 120&=40 \cdot b^{-1}\\\dfrac{120}{40}&=\dfrac{1}{b}\\b&=\dfrac{40}{120}\\ b&=\dfrac{1}{3}\end{aligned}[/tex]
Therefore, the equation of the exponential function is:
[tex]y=40\left(\dfrac{1}{3}\right)^x[/tex]
A triangle ABC. If a = 100 inches, b = 60 inches, and C= 60°, Find c.
Use the low of cosines
[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ c = \sqrt{100^2+60^2~-~2(100)(60)\cos(60^o)} \implies c = \sqrt{ 13600 - 12000 \cos(60^o) } \\\\\\ c = \sqrt{ 13600 - 12000 \cdot \frac{1}{2} }\implies c=\sqrt{7600}\implies c=20\sqrt{19}\implies c\approx 87.18[/tex]
If f(1)=3and f(n)=f(n-1)-3 then find the value of f(5)
The required value of f(5) would be 81.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given the function below as:
f(n) = f(n-1) - 3 ....(i)
f(1) = 3
To determine the value of f(5)
Substitute the value of n = 2 in the equation (i);
f(2) = - 3f(1) = - 3;
n = 3,
f(3) = - 3f(2) = 9;
n = 4,
f(4) = - 3f(3) = - 27,
n = 5,
f(5) = - 3f(4) = 81
Thus, the required value of f(5) would be 81.
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Assemble the proof by dragging tiles to the statements and reasons columns.
Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
What are congruent triangles?
When corresponding sides and angles of two triangles are congruent, they are said to be congruent triangles.
Given is figure of triangles,
In Δ ADC and Δ BCD,
AD ≅ BC (given)
∠ BCD ≅ ∠ ADC (given)
DC is common segment in both,
Therefore, Δ ADC ≅ Δ BCD by SAS rule
∠ DAE ≅ ∠ CBE by CPCTC
∠ AED ≅ ∠ BEC by vertically opposite angles postulate.
Δ AED ≅ Δ BEC by AAS rule
DE ≅ CE by CPCTC
Hence, Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
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Which function is graphed below?
A. f(x) = –cos(x)
B. f(x) = cos(x)
C. f(x) = sin(x)
D. f(x) = –sin(x)
Answer:a
Step-by-step explanation:
At a furniture store, 20% of chairs are blue, 50% orange and 30% black. A blue chair has a 20% probability of being comfortable. A chair that is not blue has a 5% probability of being comfortable. What is the probability that a comfortable chair in the store is blue?
The probability that a comfortable chair in the store is blue is 4%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Proportion of blue chairs = 20%
Proportion of orange chairs = 50%
Proportion of black chairs = 30%
Comfortable Blue chairs = 20%
Comfortable non-blue chairs = 5%
The required probability is then calculated as
Probability = Proportion of blue chairs x Comfortable Blue chairs
Substitute the known values in the above equation, so, we have the following representation
Probability = 20% * 20%
Evaluate
Probability = 4%
Hence, the probability is 4%
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What is the value of the expression below when x=7x=7? x^2+9x-10
Answer:
Step-by-step explanation:
() Eva left the house at 11:28 A.M. She went to the post office, returned books to the
library, and bought groceries at the store. She returned home at 12:19 P.M. How long was
she running errands?
Eva takes 51 errands (mins) to return home.
What do you mean by errands and give example ?
A short trip either to take a message or to take or collect something.
For example , I'll meet you at six, I have some errands to do/run first.
Given that :
Eva left the house at 11.28 am
Returned house at 12.19 pm
From the given information, we can conclude that how long was
she running errands
11.28 am - 12.00 pm = 32 mins
12.00 pm - 12.19 pm = 19 mins
Totally = 51 mins
Therefore, Eva takes 51 errands to return home.
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. The electricity cost y, in dollars, to use a
hair dryer for x minutes can be represented
by the equation y = 0.002x. The electricity
cost to use a space heater is shown on the
graph. Which appliance is more expensive
to use? Explain. (Example 4)
Space Heater
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0
Electricity Cost ($)
y
123456789
Time (min)
X
Answer:
D)The space heater, because it has the greater unit rate for electricity cost.
Step-by-step explanation:
I DID IT AND GOT IT RIGHT!
Consider the function y = -2x + 1 what is the slope (m)? What is the y intercept (b)? Make a quick graph for the equation
Answer:
Step-by-step explanation:
Start with the slope intercept equation: y=mx+b
y=-2x+1
m=-2 and b=1
Now draw a graph on your paper, place a point at +1 on the Y axis.
Next, solve for y with x=1.
y=-2(1)+1
y=-2+1
y=-1
Now graph (1,-1)
Graph the linear function: f(x)=-2(x+4)
This is high school level math
Algebra:1
PLEASE HELP ME. I DONT UNDERSTAND WHAT IM SUPPOSED TO DO!
Please provide an explanation on how you got your answer. Thank you!
Answer:
Step-by-step explanation:
f(x) =-2 (x+4)
f(x)=2
x+4
20 POINTS will give brainliest
Find the missing number so that the equation has no solutions
–2x + 11 = x + 21 + __x
a 5
b 2
c -2
d -3
Answer: d -3
Step-by-step explanation:
The answer I got was 11 = 21, which does not make sense
–2x + 11 = x + 21 + (-3)x
+3x +3x
x + 11 = x + 21
-x -x
11 = 21
Answer:
-3
Step-by-step explanation:
2/3 = 4x
X = ?
i dont know what this is
A kindergarten teacher has five books to distribute to 20 children in her class.
(a)
How many ways are there for her to distribute the books if they are all the same and no child gets more than one?
(b)
How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.
(c)
How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?
Answer:
(a) There are 20 ways for her to distribute the books if they are all the same and no child gets more than one. Each of the 20 children can receive one of the five books.
(b) There are 100 ways for her to distribute the books if they are different and no child gets more than one. Each of the 20 children can receive one of the five different books, so there are 5x4x3x2x1 = 100 possible ways for her to distribute the books.
(c) There are 3,628,800 ways for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child. This is because each child can receive any number of books from 0 to 5. Therefore, there are 6x6x6x6x6 = 6^5 = 3,628,800 possible ways for her to distribute the books.
Step-by-step explanation:
PLEASE HELP ASAP!!!! FULL ANSWERS ONLY!!!!
Blake wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Blake has 950 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write a function for the area A of the enclosure in terms of w . (HINT: First write one equation with w and l and one equation with w and l and A. Solve for l in the first equation and substitute for l in the other). A ( w ) = ____________
b) What width w would maximize the area? w = __________________ ft
c) What is the maximum area? A = ______________ square feet
The maximum width and area of rectangle are 475 feet and 225625 sq. feet respectively.
How we can make the area of rectangle maximum?Any given rectangle has ONE region - there is no base or most extreme, simply a region. To find the region of a rectangle shape, increase the length times the width. For instance, a rectangle shape 4′ long by 5′ wide will have an area of 20 square feet.
According to question:We have
l×w = area of rectangle-------------------------(1)
2w + l = 950
l = 950 - 2w
Put the value if l in equation (1)
(950 - 2w) × w = area
This is a quadratic equation for maximum value of w we have of it one zeros is zero
so,
950 - 2w = 0
w = 950/2
W =475 feet
Te
Then length = 950 - 475 =475
Area of rectangle = 475 × 475 = 225625 sq. feet
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One poster has a width of x + 5 inches, and
the other has a width of x + 3 inches. Write an
expression to represent the area of wall that the
posters will cover.
The area that represent the wall the poster will cover is as follows:
x² + 10x + 25x² + 6x + 9What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Therefore, One poster has a width of x + 5 inches, and the other has a width of x + 3 inches.
The expression to represent the area of wall that the posters will cover can be calculated as follows:
area = w²
area of the first poster = (x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
area of the second poster = (x + 3)² = (x +3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9
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A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year. Each dot
represents 10 cars. Use the dot plot to answer the question.
How many cars were sold that were not white?
A 100
B190
C 19
D 25
The number of cars sold that were not white based on the dot plot is 19
How to determine the number of cars sold that were not whiteFrom the question, we have the following parameters that can be used in our computation:
The dot plot represents the given parameter
From the dot plot, we have the following values represented as follows:
The above parameters means that the following cars are not white cars
So, we have the following representation
Count of red cars = 5Count of black cars = 8Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1When these frequencies are added, we have
Total = 5 + 8 + 1 + 4 + 1
Evaluate the sum
Total = 19
Hence, the number of cars is 19
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HELP ME OUT OMG THANKS
Answer: 3 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
7 1/5
Step-by-step explanation:
need help on This question I’ll give you brainliest
Answer: it is A.
Step-by-step explanation: I did the quiz
someone help me ASAP
I have to find angle 1 and angle 3
Answer:
∠1 = 52
∠2 = 128
∠3 = 52
Step-by-step explanation:
∠2 = ∠4 Because of vertical angles
∠1 = ∠3 Because of vertical angles
∠1 + ∠4 = 180 Because of supplementary angles
Here, we are given that ∠4 = 128°
∠4 = ∠2 So ∠2 = 128°
∠1 + ∠4 = 180
∠4 = 128°
∠1 + 128° = 180
==> subtract 128 from both sides
∠1 = 52
∠1 = ∠3
∠1 = 52 meaning that ∠3 = 52
Answer:
m<1 = 52°
m<3 = 52°
m<4 = 128°
Step-by-step explanation:
Given: m<2 = 128°
<1 is supplementary to <2.
m<1 + m<2 = 180°
m<1 + 128° = 180°
m<1 = 52°
Angles 1 and 3 are vertical angles, so they are congruent.
m<3 = 52°
Angles 2 and 4 are vertical angles, so they are congruent.
m<4 = 128°
Jasmine has 38 crayons. Jasmine has 24 fewer crayons than trinity. How many crayons do they have in all?
Don’t even know where to start! Please help with an explanation, thanks! :)
The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
∠1 + 88 = 180°( angles on a straight line)
∠1 = 180 - 88 which is 92°
∠3 = 64°( corresponding angles are equal)
∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)
∠2 + 92° + 64° = 180
∠2 = 180 - 92 - 64
∠2 = 24°
∠4 + 81 + ∠3 = 180 ( angles on a straight line)
∠4 + 81 + 64 = 180
∠4 = 180 - 64 -81
∠4 = 35°
∠5 = 81°( alternate angles are equal)
In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.
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Suppose that the function f is defined, for all real numbers, as follows.
Answer:
f(-5) = 3f(-2) = -9f(1) = 0Step-by-step explanation:
You have a piecewise defined function f(x) and you want the values of f(-5), f(-2), and f(1).
The first step in finding the value of a piecewise defined function is to determine the function definition on the domain containing the x-value of interest.
F(-5)The value x=-5 is in the interval x < -2, so the first part of the function definition applies: f(x) = 3.
f(-5) = 3
F(-2)The value x = -2 is in the interval -2 ≤ x ≤ 2, so the second part of the function definition applies: f(x) = -(x -1)².
f(-2) = -(-2 -1)² = -(-3)²
f(-2) = -9
F(1)The value x = 1 is in the interval -2 ≤ x ≤ 2, so the second part of the function definition applies: f(x) = -(x -1)².
f(1) = -(1 -1)² = -(0)²
f(1) = 0
Find the missing ange:
RPQ:______
The value of angle RPQ in the circle is 115°.
What is intersecting chords' theorem?The products of the measurements of the segments of two chords are equal if they intersect in a circle.
When two chords intersect inside a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175°
arc angle SA = 55°
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115°.
Therefore, the angle is 115°.
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