Answers
Answer:
acute
Step-by-step explanation:
It measures less than 90 degrees
Answer:
Acute angle
Step-by-step explanation:
(less than 90°)
Related Questions
Write down the inequality described by "half of x is no more than three", and solve for x.
Answers
Answer:
Inequality: [tex]\frac{x}{2} \leq 3[/tex]
Solved: [tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} \leq 3[/tex]
[tex]x\leq 6[/tex]
Can you find the solution Im so confused
Answers
Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly.
Answers
Answer:
Option (C) is correct.
Step-by-step explanation:
The given options of the possible equation for the graph are as follows:
[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]
The given graph is decreasing and at x=0, y=2.
So, first checking the value of the given options for x=0
[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]
As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.
Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.
For option (A),
[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]
As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}>0[/tex]
Therefore, the function in option (A) is increasing function.
Similarly, for option (C),
[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]
As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}<0[/tex]
Therefore, the function in option (C) is decreasing function.
As the given graph is decreasing, so, (C) represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.
Hence, option (C) is correct.
The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.
We have to determine, Which of the following equations could be the equation to represent the given graph.
According to the question,
The given options of the possible equation for the graph are as follows:
[tex](A)y = 2(\frac{3}{2})^x[/tex] [tex](B)y = -2(\frac{3}{2})^{-x}[/tex] [tex](C)y = 2(\frac{2}{3})^{x}[/tex] [tex](D)y = -2(\frac{2}{3})^{-x}[/tex]The given graph is decreasing and at x = 0, y = 2.
Then,
First checking the value of the given options for x = 0.
[tex](A)y = 2(\frac{3}{2})^x = 2(\frac{3}{2})^0 = 2 \times1 = 2[/tex] [tex](B)y = -2(\frac{3}{2})^{-x} = (A)y = -2(\frac{3}{2})^{-0} = -2 \times 1 = -2 (not \ possible)[/tex][tex](C)y = 2(\frac{2}{3})^x = 2(\frac{2}{3})^0 = 2 \times1 = 2[/tex] [tex](D)y = -2(\frac{2}{3})^{-x} = -2(\frac{2}{3})^{-0} = -2 \times1 = -2 (not \ possible)[/tex]For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.
Therefore,
To check the nature (increasing or decreasing) of the given equation by differentiating it.
For function A;[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]
Therefore, The function in option A is increasing function.
For function c;
[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]
Therefore, The function in option c is decreasing function.
The given graph is decreasing, so, the function c represents the given graph decreasing.
Hence, option (C) is correct.
To know more about the Graphs click the link given below.
https://brainly.com/question/16351335
evaluate (log) PLS HELP ASAP!!!! thank you!!! *will give brainliest*
Answers
Answer:
-3 ( D )
Step-by-step explanation:
Logarithm base 3 of 1/27 is -3.
Luke cut down a tree that was 25.8 feet tall. Then he cut the tree into 6 equal pieces to take it away.
What is the length of each piece?
Answers
Answer:
the length of each piece is 4.8 feet
Step-by-step explanation:
Given f(x) = x^2 + 1 with domain: {-2, -1, 0, 1, 3}. What is the range, R?
a) {-1, -2, 0, 1, 3}
b) {4, 1, 0, 1, 9}
c) {5, 2, 1, 2, 10}
d) {3, 0, -1, 0, 8}
Answers
Write a recursive formula for the following arithmetic sequence.
-6, -9, -12, -15, ...
Answers
Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.
Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6
e owner of a skatepark wants to increase her entry fee of $5 Buy in increments of $0.50 currently the skate park has an average of 500 paying customers per week the equation (500 - 25x)( $5 + $0.50x) give me the estimated weekly income where X is the number of $0.50 entry fee price increases if the entry fee is increased to $7.50 what will be the expected average number of paying customers each week
Answers
Answer:
375 paying customers
Step-by-step explanation:
First you need to find how much the fee was increased from $5.00 to $7.50
7.5 - 5 = 2.5
Then how many times the pay increase goes into that number to find your X value
2.5/.5 = 5
Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1
500 - 25(1) = 475
500 - 25(2) = 450
500 - 25(3) = 425
500 - 25(4) = 400
500 - 25 (5) = 375
Answer:
375
Step-by-step explanation:
Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.
Answers
Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.
To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True
False
Answers
Answer:
false
Step-by-step explanation:
I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.
I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.
What is the answer to 1/2 divided by 8/7
Answers
7/16
Steps:
[tex]\frac{1}{2} /\frac{8}{7} =\frac{1}{2} *\frac{7}{8} =\frac{7}{16}[/tex]
Plz help I’m getting timed
Answers
Answer:
10
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Answer:
10 meters
Step-by-step explanation:
You can count each unit since each unit equals 1 meter
Bobby and Gautham each save the same amount of money from each lawn they mow. What must be true for Gautham to have more money than Bobby after they have each mowed 18 lawns?
Answers
Answer:
I don't have any favorites. There is a reason for this, i don't read a lot of books but when i do, i usually like a mashup of different types of text styles. I guess i do have a favorite of a mashup. When i do read i usually pick a book that has an argument between different characters, a type of fiction memoir? And autobiography.
This mashup usually leads up to Wonder which is one of my all-time favorites. But there is another one i like and it is Diary of a Wimpy Kid. The only thing about that one is that doesn't have the whole autobiography part.
I like these styles because most of the books that i read have either funny traits or intense traits which, i love both of them.
Step-by-step explanation:
Josue is at the Falls Church foot football game and wants to buy bags of tacos for his friends and $2 for himself. If each bag of tacos costs $3 and he has $26 to spend, how many bags can he buy?
Answers
explanation
Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package.
If we want one hot dog for each bun for a picnic, with none left over, what is the least amount of each we need to buy?
How many packages of each item would we have to buy?
Answers
Answer:
5 hot dogs packs at least and 4 buns packs at least
Step-by-step explanation:
There are 12 books on a shelf. 7of these books are new.
(a) What is the ratio of new books to used books?
(b) What is the ratio of all books to used books?
Answers
Answer:
(a) 7 : 5
(b) 19 : 5
Hope this helps :)
Answer:
(a) 5:7 ( 5 new to 7 used). (B) 12:7 (12 books to 7 used ones). You are welcome :)
Step-by-step explanation:
find the surface area of this cylinder using pie.
Answers
Answer:
Thus the surface area of this cylinder involving pie is:
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
Step-by-step explanation:
Given
radius = r = 10 ft
height = h = 15 ft
The surface area of a cylinder formula is:
[tex]A=2\pi rh+2\pi r^2[/tex]
substituting the value = r = 10 ft and h = 15 ft
[tex]\:A=\left(2\times \:\pi \:\times \:15\times 10\right)+\left(2\times \pi \:\times \:15^2\right)\:[/tex]
[tex]A=750\pi[/tex] ft²
Thus the surface area of this cylinder involving pie is:
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
4. A formula used for calculating velocity is v=1/2at^2
Answers
Step-by-step explanation:
You're sure?
But I thought that for calculating distance
Is the following a function? Each player’s jersey number paired with their age.
Answers
Answer:
Yes it is a function if the jersey numbers are the same as their age and they are all different ages.
Step-by-step explanation:
branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest
Answers
Answer:
A
You are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)
If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer
D is the same like B
Choice C is just the whole of x-y plane so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2
Frederick uses his metal detector to search for coins on the beach. He has found both newer and antique coins. He has found 24 newer coins over the past year, witch is 75% of all the coins he has found. What is the total number of coins he has found?
Answers
Answer:
32 coin in allStep-by-step explanation:
Step one:
given data
let the total coins be x
we are given that 75% of x= 24
Step two:
Mathematically we have
75/100*x= 24
0.75x=24
divide both sides by 0.75
x=24/0.75
x=32coins
Hence the total coins is 32
can someone please help me
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )
63n = 15 - 14 = 1 ( divide both sides by 63 )
n = [tex]\frac{1}{63}[/tex]
(b)
[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )
1 = 3k - 12 ( add 12 to both sides )
13 = 3k ( divide both sides by 3 )
[tex]\frac{13}{3}[/tex] = k
(c)
g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )
5g - 2g = 15
3g = 15 ( divide both sides by 3 )
g = 5
(d)
[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )
3w + 14w = 21
17w = 21 ( divide both sides by 17 )
w = [tex]\frac{21}{17}[/tex]
What does x = answer choices
4
16
9
Answers
Answer:
16
Step-by-step explanation:
x=16 because the Sides length and the degrees of the angle colide and show that x=16
I NEED HELP!!!!
A sports team has won 21 out of the 40 games it has played. About what percent of games has the team won?
Answers
Answer:
About 50% percent
Step-by-step explanation:
20 is 50 percent of 40, so 21 is about 50 percent (52.5 %)
~theLocoCoco
Answer:
52.5%
Step-by-step explanation:
21/40 = 52.5/100
52.5/100= 52.5%
im not sure but you can try :<
Six increased by 1-3 of a number is 11 . Find the number
Answers
Answer:
7 is the answer
Step-by-step explanation:
6 + 1 - 3 of a number = 11
1 - 3 = -2
6 - 2 = 4
so 4 + 7 is 11
Hope it helps!
Baxter Tree Service charges $42 per tree to trim them, and an additional $75.50 to remove the trimmings from the property. His competitor, Barron and Son, charges $37 per tree to trim them but charges $95.50 to remove trimmings. How many trees, t, must be trimmed to make the two companies cost the same amount?
Answers
Answer:
[tex]t = 4[/tex]
Step-by-step explanation:
Baxter Tree Service:
Per tree trimming charges = $42
Additional charges for removing the trimmings from the property = $75.50
Number of trees trimmed = [tex]t[/tex]
Total charges = Additional charges + cost of trimming [tex]t[/tex] trees
Total charges = $75.50 + $42[tex]t[/tex]
Barron and Son:
Per tree trimming charges = $37
Additional charges for removing the trimmings from the property = $95.50
Number of trees trimmed = [tex]t[/tex]
Total charges = Additional charges + cost of trimming [tex]t[/tex] trees
Total charges = $95.50 + $37[tex]t[/tex]
Now, the total charges need to be same and we have to find the value of [tex]t[/tex].
[tex]75.50+42t = 95.50+37t\\\Rightarrow 42t-37t=95.50-75.50\\\Rightarrow 5t=20\\\Rightarrow \bold{t =4}[/tex]
[tex]t = 4[/tex] number of trees must be trimmed.
Find the equivalent equation that does not contain fractions 2/3 x 7=1/2
Answers
Answer:
[tex]4x + 42 = 3[/tex]
Step-by-step explanation:
Given:
[tex]\frac{2}{3}x + 7 = \frac{1}{2}[/tex]
Required
Equivalent expression without fraction
To do this, we simply multiply through by a common multiple of the denominators in the expression.
The denominators are 2 and 3
[tex]2 = 2,4,6,8,10,..[/tex]
[tex]3 = 3,6,9,12..[/tex]
So, 6 is the least common multiple.
Multiply both sides by 6
[tex]6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6[/tex]
[tex]6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6[/tex]
[tex]\frac{12}{3}x + 42 = \frac{6}{2}[/tex]
[tex]4x + 42 = 3[/tex]
Hence, an equivalent expression.
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in slope-intercept form, if possible.
Answers
Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9
A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the carpet?
Answers
Answer:
The dimensions of the carpet are 15 inches and 82 inches
Step-by-step explanation:
Assume that the width of the carpet is x inches
∵ The width of the carpet is x inches
∵ The length of the carpet is 67 inches more than the width
∴ The length of the carpet is (x + 67) inches
∵ The perimeter of the rectangle = 2(length + width)
∵ The perimeter of the carpet = 194 inches
→ Equate the two right sides of the perimeter
∴ 2(length + width) = 194
→ Divide both sides by 2
∴ length + width = 97
→ Substitute the value of the length and width in the equation above
∵ x + 67 + x = 97
→ Add the like terms in the left side
∴ (x + x) + 67 = 97
∴ 2x + 67 = 97
→ Subtract 67 from both sides
∵ 2x + 67 - 67 = 97 - 67
∴ 2x = 30
→ Divide both sides by 2
∴ x = 15
∵ x represents the width of the carpet
∴ The width of the carpet is 15 inches
∵ The length of the carpet = 15 + 67
∴ The length of the carpet is 82 inches
∴ The dimensions of the carpet are 15 inches and 82 inches
1. Find the percent of the given quantity using any method: 40% of 320
Answers
Answer:
128
Step-by-step explanation
Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.
Answer:
the answer is 128.
40% of 320 = 128 :)