Answer:
Obtuse isosceles
Step-by-step explanation:
Two sides are the same length, so we know this is an isosceles triangle.
To determine if it's acute, right, or obtuse, we can compare it to a right triangle using Pythagorean Theorem:
c² = a² + b²
c² = 3² + 3²
c² = 18
c = √18
So if this were a right triangle, c would be √18, which is somewhere between 4 and 5.
Since the long side is greater than √18, we know this must be an obtuse triangle.
So this is an obtuse isosceles.
Problem Solving Strategy
Categories
Drawing a picture
Making a Table
Working Backwards
Looking for a Pattern
Answer:
Drawing a picture = 1 and 2
Making a Table = 5 and 8
Working Backwards = 3 and 4
Looking for a Pattern =6 and 7
Step-by-step explanation:
Need Help. Please Please
ANSWER
A.
[tex]P(x)=6x^2 +75x +200[/tex]
EXPLANATION
The given revenue function is:
[tex]R(x)=6x^2 +100x+300[/tex]
The cost function is
[tex]C(x)=25x+100[/tex]
The profit function can be obtained by subtracting the cost function from the revenue function.
[tex]P(x)=R(x)-C(x)[/tex]
This implies that:
[tex]P(x)=6x^2 +100x+300 - (25x + 100)[/tex]
Expand the parenthesis to get:
[tex]P(x)=6x^2 +100x+300 - 25x - 100[/tex]
Group similar terms:
[tex]P(x)=6x^2 +100x - 25x - 100+300[/tex]
Combine the similar terms to get:
[tex]P(x)=6x^2 +75x +200[/tex]
The cot answer is A
Mathematics
1. What is the largest number which can divide 24 and
30 exactly?
Answer:6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
plz help thank you very much!
Answer:
(1, - 4 )
Step-by-step explanation:
To find the y- coordinate, substitute x = 1 into the equation
y = (3 × 1) - 7 = 3 - 7 = - 4
The missing value is -4.
Since you already know that x = 1, substitute that into the equation and simplify. y = 3(1) - 7
Anything times 1 equals itself. y = 3 - 7
Subtract. y = -4
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year. The money was in the account for 8 years. How much simple interest did she earn?
• P is the principal amount, $3000.00.
• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
• t is the time involved, 8 years time periods.
• So, t is 8 year time periods.
To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:
The interest is: $1440.00
The parent function, f(x) = 5x, has been vertically compressed by a factor of one-fourth, shifted to the right three units and up two units. Choose the correct function to represent the transformation
The correct function to represent the transformation of the parent function f(x) = 5x, after being vertically compressed by a factor of one-fourth, shifted to the right three units, and up two units, is g(x) = 1.25(x - 3) + 2.
To find the transformed function of the parent function f(x) = 5x after a series of transformations, we must apply the following transformations step by step:
Vertically compress by a factor of one-fourth, which means we multiply the output by 1/4 or 0.25. Therefore, f(x) becomes f(x) = (1/4) * 5x = 1.25x.
Shift to the right three units, which means we replace x with (x - 3). Therefore, our function becomes f(x - 3) = 1.25(x - 3).
Shift up two units, which means we add 2 to the function's output. Our function now becomes f(x - 3) + 2 = 1.25(x - 3) + 2.
Putting it all together, the function that represents the transformation is g(x) = 1.25(x - 3) + 2.
What does 6÷3/4 equal
Answer:
8
Step-by-step explanation:
When you divide by a fraction, you can also say that you are multiplying by the reciprocal.
So [tex]6/\frac{3}{4}=6*\frac{4}{3}[/tex]
[tex]6=\frac{6}{1}[/tex]
[tex]\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8[/tex]
Alice is making a necklace. She has a chain that is 400 mm long she puts forty 1.7 'll beads, twenty-seven 6 1/2 'll beads and eight 3.4 'll neads on tje chain. About how much of tje 400 m chain is left without beads
Answer:
I believe the answer is 129.3mm.
Hope this helps!
Length of the chain without beads = 377.58 m
Word problems on addition and subtractionThe total length of the chain = 400 m
Note that:
1 inch = 0.0254 m
Forty 17 inches beads = 40 x 17
Forty 17 inches beads = 680 inches
Forty 17 inches beads = 680 x 0.0254
Forty 17 inches beads = 17.272 m
Twenty-seven 6 1/2 'll beads = 27 x 6.5 x 0.0254
Twenty-seven 6 1/2 'll beads = 4.4577 m
Eight 3.4 inches beads on the chain = 8 x 3.4 x 0.0254
Eight 3.4 inches beads on the chain = 0.69088 m
Total length of the chain with beads = 17.272 m + 4.4577 m + 0.69088 m
Total length of the chain with beads =22.42 m
Length of the chain without beads = 400 m - 22.42 m
Length of the chain without beads = 377.58 m
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Dwayne answered 80% of the questions on a quiz correctly.If he answered 40 questions correctly what was the total number of questions on Dwayne's quiz
Answer:
hold up i know it
Step-by-step explanation:
50, because 4÷5=.80 or 80%.
So 40÷50=.80 or 80%
Write the quadratic function f(x) = x2 - 5x + 3 in vertex form.
A) f(x) = (x - 2.5)2 + 3
B) f(x) = (x + 2.5)2 + 3
C) f(x) = (x - 2.5)2 - 3.25
D) f(x) = (x + 2.5)2 - 3.25
Answer:
C. [tex]f(x) = (x-2.5)^{2}-3.25[/tex]
Step-by-step explanation:
The vertex form for a quadratic function is:
[tex]f(x) = a(x-h)^2+k[/tex]
Then, you expand the binomial and get:[tex]f(x) = a(x^2-2hx +h^2) + k[/tex]
Now you distribute and get the first form:[tex]f(x) = ax^2-2ahx +ah^2 + k[/tex]
You know that the general form for a quadratic function is:[tex]f(x) = ax^2+bx+c, Second\ form[/tex]
You compare the two forms that you have and finding h and k:[tex]ax^2+2ahx +ah^2 + k = ax^2+bx+c[/tex]
Finding h from the coefficient of X:[tex]-2ah = b[/tex]
[tex]h = -\frac{b}{2a}[/tex]
from the quadratic function given you know that a = 1 , b = -5 and c = 3, thus:
[tex]h = -\frac{(-5)}{2(1)}=2.5[/tex]
Finding k from the third coefficient:[tex]ah^2+k = c[/tex]
[tex]Isolate\ k =>\ k = c-ah^2[/tex]
You know c,a and h, so replace the values:
[tex]k = 3-(1)(2.5)^2 \\ k = 3-6.25\\ k = -3.25\\[/tex]
• Finally replace the values for a, h and k in the vertex form:
[tex]f(x) = a(x-h)^2+k\\ f(x) = (1)(x-2.5)^2+(-3.25)\\ f(x) = (x-2.5)^2-3.25[/tex]
So answer is C. [tex]f(x) = (x-2.5)^2-3.25[/tex]
potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached images below, to find more information about the graph
The equation is:
f(x) = x^4 – 2x^3 + 5x^2 – 7x + 9
The equation has only complex roots.
Answer:
+1,+3,+9
Step-by-step explanation:
Factors of the constant term
Line AB is perpendicular to Line CD. How many 90° angles are formed by the intersection?
Answer:
2, but it can be 4 if the perpendicular line goes through the other line.
Step-by-step explanation:
the solution to the inequality 3(2x-1)>4x-2 can be written as x>n what is the value of n
Answer:
[tex]\large\boxed{x>\dfrac{1}{2}}[/tex]
Step-by-step explanation:
[tex]3(2x-1)>4x-2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-1)>4x-2\\\\6x-3>4x-2\qquad\text{subtract 4x from both sides}\\\\2x-3>-2\qquad\text{add 3 to both sides}\\\\2x>1\qquad\text{divide both sides by 2}\\\\x>\dfrac{1}{2}[/tex]
what do N and M equal?
[tex]\bf ((5^{-2})(9^5))^{-6}\implies ((5^{-2\cdot -6})(9^{5\cdot -6}))\implies 5^{\stackrel{\stackrel{n}{\downarrow }}{12}}\times 9^{\stackrel{\stackrel{m}{\downarrow }}{-30}}[/tex]
Y-4 = 4/3(x-2) which graph matches the function below
Answer:
Step-by-step explanation:
We need to find the graph of the following function:
Y - 4 = 4/3(x-2)
Solving for Y we have:
Y = 4/3(x-2) + 4
The graph is similar to the graph of f(x) = 1/x. But, with the following differences:
1. The graph is translated vertically upwards by 4 units.
2. The graph is translated horizontally to the right 2 units.
3. The graph is enlarged by a factor of 4/3.
Then, considering all these facts. The graph of f(x) = 1/x and the new graph according to all the characteristics stated before are attached.
What is the value of x
ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.
[tex] \frac{x}{x +1 8} = \frac{39}{39 + 26} [/tex]
[tex]\frac{x}{x +1 8} = \frac{39}{65} [/tex]
Cross multiply to get;
[tex]65x = 39(x + 18)[/tex]
Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27
what is 1 pluse 1 i donk know tghis because i am only 6 yeasrs old oay
Answer:
2
Step-by-step explanation:
Because 1 ball + 1 Ball = 2 Ball
What is the range of -5,1,4,6,9,0,-7,-1
Answer:
16
Step-by-step explanation:
A building contractor has a piece of crown molding that is 48 ½ inches long. He cuts off one piece measuring 10 ¼ inches and another piece 2 feet ⅛ inch.How much crown molding does he have left?
Answer:
14 1/8 inches of molding
Step-by-step explanation:
In order to find the solution, we'll have to do 2 fractions subtractions.
To be able to subtract fractions, we have to make sure they are placed in the same denominator. So, the first thing we'll do is to convert all the numbers in 8th, because that's the greatest denominator.
[tex]48 \frac{1}{2} = 48 \frac{4}{8} = \frac{(48 * 8) + 4}{8} = \frac{388}{8}[/tex]
[tex]10 \frac{1}{4} = 10 \frac{2}{8} = \frac{(10 * 8) + 2}{8} = \frac{82}{8}[/tex]
For the last one, we'll first convert the 2 feet into 24 inches.
[tex]24 \frac{1}{8} = \frac{(24 * 8) + 1}{8} = \frac{193}{8}[/tex]
Now, we'll subtract each of the two pieces cut from the original molding's length, first the 10 1/4 inches piece
[tex]\frac{388}{8} - \frac{82}{8} = \frac{388 - 82}{8} = \frac{306}{8}[/tex]
then the 2 feet 1/8 piece
[tex]\frac{306}{8} - \frac{193}{8} = \frac{306 - 193}{8} = \frac{113}{8} = 14 \frac{1}{8}[/tex]
So, the contractor is left with 14 1/8 inches of molding.
Marco buys a certain brand of shampoo for a supplier$7.25 per bottle he sell it to his customers at a market up of 25% What would market update
The markup would be $1.81 I hope this helps! : )
6.2 seconds The height, h, in feet of an object above the ground is given by h = −16t2 + 64t + 160, where t is the time in seconds. How long does it take the object to hit the ground? (to the nearest tenth of a second)
A)
5.1 seconds
B)
5.3 seconds
C)
5.7 seconds
D)
6.2 seconds
ANSWER
C) 5.7 seconds
EXPLANATION
The height of the object is given by:
[tex]h(t) = - 16 {t}^{2} + 64t + 160[/tex]
If the object hit the ground, then the height is zero.
[tex]- 16 {t}^{2} + 64t + 160 = 0[/tex]
Divide through by -16
[tex] {t}^{2} - 4t - 10 = 0[/tex]
Where a=1, b=-4 and c=-10
We substitute into the quadratic formula to obtain,
[tex]t= \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]t= \frac{ - - 4\pm \sqrt{ {( - 4)}^{2} - 4( 1)( - 10)} }{2(1)} [/tex]
[tex]t= \frac{ 4\pm \sqrt{56} }{2} [/tex]
[tex]t= \frac{ 4\pm 2\sqrt{14} }{2} [/tex]
t=2-√14 or t=2+√14
Time cannot be negative.
Hence, t=5.7 seconds to the nearest tenth.
If 25% of 150 is equal to 700 percent of n, then what number is n equal to?
Step-by-step explanation:
"Of" means multiplication, and percent means out of 100.
25/100 × 150 = 700/100 × n
75/2 = 7n
n = 75/14
n ≈ 5.357
The number n is equal to [tex]\frac{75}{14}[/tex] .
What is percentage ?Percentage is a ratio of output to total that can be expressed as a fraction of 100.
We have,
According to the question,
25% of 150 = 700 % of n,
Here,
n = number
Now,
Solving,
25% of 150 = 700 % of n
i.e.
[tex]\frac{25}{100} *150=\frac{700}{100} n[/tex]
On solving we get,
[tex]\frac{75}{2} =7n[/tex]
⇒
[tex]n=\frac{75}{14}[/tex]
So, the value of n is [tex]\frac{75}{14}[/tex],
Hence, we can say that the number n is equal to [tex]\frac{75}{14}[/tex] .
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What is 120 divided by 1/6?
Answer:
120 divided by 1/6= 720
Step-by-step explanation:
120 divided by 1/6
When we divide by a fraction , we change the division to multiplication .
To divide 120 by a fraction 1/6.
We take reciprocal of 1/6 and multiply with 120
Reciprocal of 1/6 is 6/1
[tex]\frac{120}{\frac{1}{6} } = 120 * \frac{6}{1} = 720[/tex]
120 divided by 1/6 equals 720, which is found by multiplying 120 by the reciprocal of 1/6.
To find what 120 divided by 1/6 is, you use the principle of division of fractions.
In this case, you multiply 120 by the reciprocal of 1/6. The reciprocal of 1/6 is 6/1, or simply 6.
Therefore, the calculation you need to perform is:
120 × 6 = 720
This means that 120 divided by 1/6 equals 720.
The answer pls pls pls place
Answer:
A
Step-by-step explanation:
The equation of a parabola is y = ax² + bx + c : a ≠ 0
Given
y = 2 (x + 4)² - 7 ← expand the squared factor
y = 2(x² + 8x + 16) - 7 ← distribute the parenthesis by 2
y = 2x² + 16x + 32 - 7 ← collect constant terms
y = 2x² + 16x + 25 → A
In how many different ways can a committee of 5 people be chosen from a group of 18?
Answer:
8568
Step-by-step explanation:
You have to choose 5 out of 18, and the order does not matter. So you're looking for the number of combinations, not permutations.
So you have to find 18C5.
nCr = n!/(n-r)!r!
so 18C5 = 18!/13!5!
= (18 * 17 * 16 * 15 * 14 * 13!)/ 13!5!
= 18*17*16*15*14/5*4*3*2*1
= 8568
Hope it helps :)
The total number of ways to select a committee of 5 people from a group of 18 is 8568.
Explanation:The question is asking for the total number of ways to select 5 people from 18. This is a commonly encountered problem in combinatorics, a mathematic field that deals with countable structures. To solve this, we use the combination formula, usually denoted as nCr where n is total items and r is number of items to choose. In this case, we use the combination formula C(18,5) where 18 is the total number of people and 5 is the committee size.
The formula for combination (nCr) is:
n! / (r!(n - r)!)
where '!' signifies a factorial which is the product of an integer and all the integers below it.
Inserting the numbers into the formula gives us:
18! / (5!(18 - 5)!) = 8568
So, there are 8568 different ways to choose a committee of 5 people from a group of 18.
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1) A 6 mile walking trail has a distance marker every 1/3 mile. How
many markers are along the trail?
Answer:
its 18
Step-by-step explanation:
b/c 6 times 3 is 18
It’s 2 because 6 divided by 3 is 2
Estimate a line of best fit using two points on the line
A.y=-1/2x+9
B.y=2x+9
C.y=-2x+9
D.y=1/2x+9
Your answer is A.
y = -1/2x + 9
Answer:
Option A is correct.
Step-by-step explanation:
Given Two points on line are ( 2 , 8 ) & ( 8 , 5 )
We have to find A line of best fit for the graph using these two points.
We find the equation of line using two point form,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So,
[tex]y-8=\frac{5-8}{8-2}(x-2)[/tex]
[tex]y-8=\frac{-3}{6}(x-2)[/tex]
[tex]y-8=\frac{-1}{2}(x-2)[/tex]
[tex]y-8=\frac{-1}{2}x-\frac{-1}{2}\times2[/tex]
[tex]y-8=\frac{-1}{2}x+1[/tex]
[tex]y=\frac{-1}{2}x+1+8[/tex]
[tex]y=\frac{-1}{2}x+9[/tex]
Therefore, Option A is correct.
A leaky faucet had already dripped 3 cups of water before it was discovered to be leaky. It leaked at a rate of 3/4 cup per hour. How long did it leak before it was discovered?
3/1 divided by 3/4 = 3/1 times 4/3. Multiply across to get 12/3 which = 4. It dripped for 4 hours.
Which table of values does NOT represent a function?
the second one. the same value of x cannot go to two different y’s. if you plotted them on a graph they would not pass the vertical line test :)
Answer:
The second one.
Step-by-step explanation:
The values in the x variable are both 2's but have different y values. Therefore it's not an actual function.
Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 centimeters and the width is 15 centimeters. What is the area of the park
Answer:
The area of the park is [tex]108\ m^{2}[/tex]
Step-by-step explanation:
we know that
The scale drawing is [tex]\frac{5}{3}\frac{cm}{m}[/tex]
step 1
Find the actual length of the rectangular park
Divide the length in the drawing by the scale drawing
[tex]20/(5/3)=12\ m[/tex]
step 2
Find the actual width of the rectangular park
Divide the width in the drawing by the scale drawing
[tex]15/(5/3)=9\ m[/tex]
step 3
Find the area of the park
[tex]A=(12)(9)=108\ m^{2}[/tex]