Answers
Answer: f^-1(1) + f(-14) = 20, f^-1(-2) = 10
Step-by-step explanation:
When finding the inverse through a table of functions, we are doing the opposite of a function. For example:
If f(9) = 1, then, let me ask you, what is f^-1(1)? Well, that's just 9! You're basically doing the opposite.
An inverse through a table of functions is basically you trying to figure out what x-value did you input to get the f(x) value. A regular function is you trying to figure out what f(x) value did you get by inputting an x-value.
So, the inverse of f(1) is 9, and the regular function of -14 is equal to 11. We then add. 11+9 = 20.
The inverse of -2, like I said before, is you trying to find out the x value you put to get -2. Well looking at the table, it seems x was 10. Thus the inverse of -2 is 10.
Related Questions
Which triangle is a 30°-60°-90° triangle?
Answers
Answer:
Option A
Step-by-step explanation:
30° - 60° - 90° triangle:The ratio of the side of 30-60-90 triangle is x : x√3 : 2x
The angle opposite to 90° = 2x
2x = 10
x = 10÷2
x = 5
The side opposite to 30° is x which is 5.
The side opposite to 60° is x√3 = 5√3
The ratio of sides of 30-60-90 triangle:
5 : 5√3 : 10
Answer:
The first one is correct
Step-by-step explanation:
I got a 100 on the test, hope this helps
For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2? (2 points) Group of answer choices Both a(x) and b(x) have a maximum or minimum value at x = 2. Both a(x) and b(x) have the same output value at x = 2. Both a(x) and b(x) cross the x-axis at 2. Both a(x) and b(x) cross the y-axis at 2.
Answers
The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
How to find the statement that is true about the functions a(x) = b(x) at x = 2?If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.
Given that the two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = 2.Then the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
So, the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
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Solve the system of equations using substitution.
y = -2X +1
4x + 2y = -2
Answers
Answer:
Step-by-step explanation:
4x + 2(-2X +1) = -2
Order of operations -
4x + -4x +2 = -2
Combine terms
4x-4x=0x
2 = -2
Answer:
no solution
Step-by-step explanation:
y = - 2x + 1 → (1)
4x + 2y = - 2 → (2)
substitute y = - 2x + 1 into (2)
4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side
4x - 4x + 2 = - 2 ( subtract 2 from both sides )
0 = - 4 ← not possible
this indicates the system of equations has no solution
Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?
Triangles A C D and E C B are shown. Point B of triangle E C B is on side A C of triangle A C D. Point D of triangle A C D is on side C E of triangle E C B. Angles C A D and B E C are congruent. The lengths of line segments A B and D E are congruent. The lengths of line segments B C and C D are congruent.
ΔACD ≅ ΔECB
ΔACD ≅ ΔEFD
ΔAFB ≅ ΔEFD
ΔAFB ≅ ΔECB
Answers
Using the ASA congruence theorem, the missing statement in her proof is: A. ΔACD ≅ ΔECB.
What is the ASA Congruence Theorem?Two triangles are congruent by the ASA congruence theorem if they have two pairs of corresponding congruent angles and a pair of included congruent sides.
In the proof given in the diagram, using the ASA congruence theorem, Rowena has been able to prove that ΔACD and ΔECB have two pairs of corresponding congruent angles and a pair of included congruent sides.
Therefore, the missing statement in her proof is: A. ΔACD ≅ ΔECB.
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Answer:
A see picture
Step-by-step explanation:
will give brainliest plus 10 points
Answers
Answer:
The distance is 7.3 units.
Step-by-step explanation:
Two given points: (-3, 1) and (4, -1)
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Here given:
x₂ = 4x₁ = -3y₂ = -1y₁ = 1Applying the formula:
[tex]\sf d = \sqrt{(4 - (-3))^2 + (-1 - 1)^2}[/tex]
[tex]\sf d = \sqrt{(7)^2 + (-2)^2}[/tex]
[tex]\sf d = \sqrt{49 + 4}[/tex]
[tex]\sf d = \sqrt{53} \ \approx \ 7.28 \ \approx \ 7.3 \ (rounded)[/tex]
Answer:
7.3
Step-by-step explanation:
The distance of a line segment between two points (x1, y1) and (x2, y2) is given by the formula
[tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
If we look at the graph,
the leftmost point of the line is at (-3, 1). Let's call this (x1, y1)
the rightmost point is at (4, -1). Let's call this (x2, y2)
Substituting these values into the distance formula gives us
[tex]d = \sqrt{(4-(-3)^2 + (1-(1)^2} \\ \\d = \sqrt{(7)^2 + (-2)^2} \\ \\d = \sqrt{49 + 4} \\\\d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\\\\d = \sqrt{53} = 7.28[/tex]
Rounded to one decimal place, this is 7.3
which transformation below would map the polygon A to the polygon B?
a) Polygon A has been translated down then right
b) Polygon A has been translated to the right and reflected vertically
c) Polygon A has been reflected horizontally and reflected vertically
d) Polygon A has been rotated 180 degrees counterclockwise
Answers
Using translation concepts, the transformation is given as follows:
a) Polygon A has been translated down then right.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the orientation of the polygon is the same, hence there was no rotation nor reflection, which means that option A is correct.
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A company has two large computers. The slower computer can send all the company's email in minutes. The faster computer can complete the same job in minutes. If both computers are working together, how long will it take them to do the job
Answers
Both the computers will take 18 minutes to do the job together.
The slower computer sends all the company's email in 45 minutes.
The faster computer completes the same job in 30 minutes.
Let's take minutes t to complete the task together.
As they complete one job, we get the following equation:
[tex]\frac{t}{45}[/tex]+[tex]\frac{t}{30}[/tex]=1
LCM of 45 and 30 is:
45 = 3 x 3 x 5
30 = 2 x 3 x 5
LCM = 2 x 3 x 3 x 5 = 90
Now, solving for t;
⇒[tex]\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\[/tex]
Dividing both sides by 5;
[tex]\frac{5t}{5}=\frac{90}{5}[/tex]
We get t = 18
Hence, it will take both the computers 18 minutes to do the job together.
A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?
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A scuba diver is 30 ft below sea level. Which of the following best describes this situation?
1. |30|
2. |-30|
3. -30
4. ±30
Answers
Reason
1 and 2 are absolute values so they are 30, the 4th answer is plus or minus, the question says “below sea level” which is a negative number so it is -30.
PLS HELP
13. A box contains about 250 marbles in 5 different colors. James selected a random sample of 30 marbles and counted 16 red, 5 blue, 5 green, 3 white, and 1 yellow.
Which statement is NOT a valid inference about all of the marbles in the box?
There is exactly 1 yellow marble in the box.
There are about 25 white marbles in the box.
There are about the same number of blue and green marbles.
There are more red marbles than any other color.
Answers
Answer:
Invalid statement: There is exactly 1 yellow marble in the box
Step-by-step explanation:
The probability of finding a yellow marble is Py = 1/30, according to the sample. Then, the number of yellow marbles expected to find in the box is:
N x Py > 1 ,
where N = 250 (number of marbles in the box).
Thus, we expect to find more than one yellow marble in the box and the Invalid statement is: "There is exactly 1 yellow marble in the box".
HURRY ANSWER NOW PLS
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
A. A picnic table is on sale for 60 percent off. The sale price of the picnic table is x, $144.10.
B. A picnic table is on sale for 40 percent off. The sale price of the picnic table is x, $144.10
C. A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.
D. A picnic table is on sale for 40 percent off. The original price of the picnic table is x, $144.10
Answers
Using proportions, the scenario modeled by the equation 0.6x = 86.46 is:
D. A picnic table is on sale for 40 percent off. The original price of the picnic table is x, $144.10.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
When a product is 40% off, 100 - 40 = 60% of the original price x is paid, hence the expression for the price is:
0.6x.
In this problem, the expression is:
0.6x = 86.46
x = 86.46/0.6
x = 144.1.
Hence option D is correct.
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What term best describes 3x + 5?
Answers
Answer: Algebraic expression
Step-by-step explanation:
The amount of soda in a half-liter bottle follows a normal distribution. Assume μ = 500 ml and σ = 10 ml. A government auditor will fine the company if a random sample of 5 bottles has a sample mean under 490 ml. Find the probability the company will be fined.
Answers
The probability that the company will be fined is 0.1587.
How to illustrate the probability?From the information given, it was assumed that μ = 500 ml and σ = 10 ml.
Also, the random sample of 5 bottles has a sample mean under 490 ml.
Here, the probability will be:
= P(x < 490)
= P[(z < (490 - 500)/10]
= P (z < -10/10)
= P(z < -1)
Looking at this under the z table, the probability will be 0.1587
The probability is 0.1587.
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someone please help me with problem #7 !!!
Answers
Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
[tex]f(x)=a(x-2)(x-6)[/tex]
Substituting in the coordinates of the vertex,
[tex]-4=a(4-2)(4-6)\\\\-4=-4a\\\\a=1[/tex]
So, the equation is [tex]f(x)=(x-2)(x-6)[/tex]
On expanding, we get [tex]f(x)=x^2 - 8x+12[/tex]
Determine the vertex of the quadratic relation y=2(x+2)(x-6)
Answers
Answer:
(2, -32)
Step-by-step explanation:
1) Expand them.
y = 2(x² - 6x + 2x - 12)
y = 2(x² - 4x - 12)
y = 2x² - 8x - 24.
2) Complete the square to find the vertex.
y = 2([x² - 4x)] - 24
y = 2[(x - 2)² - 4] - 24
y = 2(x - 2)² - 8 - 24
y = 2(x - 2)² - 32
The vertex: (2, -32)
or you can use this: x = -b/2a
x = -(-8)/2(2)
x = 8/4
x = 2
Substitute the value into the original equation for y.
y = 2(2)² - 8(2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
Vertex: (2, -32)
Answer:
(2, -32)
Step-by-step explanation:
The vertex of the graph of a quadratic equation is on the line of symmetry, halfway between the x-intercepts. It can be found by evaluating the equation at that point.
Line of symmetryThe given function is written in factored form, so the x-intercepts are easy to find. They are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x -6) = 0 ⇒ x = 6
The midpoint between these values of x is their average:
x = (-2 +6)/2 = 4/2
Then the x-coordinate of the vertex, and the equation of the line of symmetry is ...
x = 2
VertexUsing this value of x in the quadratic relation, we find the y-value at the vertex to be ...
y = 2(2 +2)(2 -6) = 2(4)(-4)
y = -32
The coordinates of the vertex are (x, y) = (2, -32).
A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial in many ways, including lowering the costs incurred during the hiring process such as training costs. A random sample of 833 full-time and 386 part-time seasonal employees from 2009 showed that 434 full-time employees were rehired compared with 189 part-time employees (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use α = 0.10) (a-1) Choose the appropriate hypotheses. Assume TTF is the proportion of full-time employees and πrho is the proportion of part-time employees (a-2) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
(a-3) Find the test statistic Zcalc (Do not round the intermediate calculations. Round your answer to 3 decimal places.)
Answers
The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.
Given sample sizes of 833 and 386 and result of samples 434 and 189.
[tex]n_{1} =833, n_{2}=386[/tex]
Proportion of full time=434/833=0.52
Proportion of part time=189/386=0.49.
Difference in proportion =0.52-0.49
[tex]H_{0}:[/tex]TTF- i∈ rho=0
[tex]H_{1}:[/tex] TTF+i∈ rho≠0.
Mean of difference=0.03
Z=(X-μ)/σ
σ=[tex]\sqrt{0.4517/447}[/tex]
=0.0317
σ=0.0317
z=(0-0.03)/0.0317
=-0.03/0.0317
=-0.317
p value will be =0.1736.
Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.
Hence there is no significant difference in the proportion of rehires between full time and part time.
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Math is literally so hard
Answers
Answer:
C
Step-by-step explanation:
negative exponent flips the fraction
4^2=16
x^2 becomes x^4
y becomes y^2
Sorry I didn’t know how to crop the photo
can you help me I am stuck
Answers
Answer:
False, False, True
Step-by-step explanation:
Matrix addition or subtraction can only be performed on two matrices if they are the same dimensions. The number of rows for both must match, and the number of columns for both must match. If either is different, they cannot be combined with addition or subtraction.
So, the first two questions are false because the first number from each pair doesn't match (and neither does the second number from each pair, but we just need one mismatch for it to fail).
The last question is true because both of the first numbers are a 3, and both of the second numbers are a 4.
At a Phil's Cafe, a dinner meal is made up of an appetizer, a main course, a dessert and a drink. The choices for the appetizer are soup or salad; for the main course are chicken, fish, steak or lobster; for the dessert are ice cream, pie, sorbet, or a pastry; the drinks are coffee, tea or milk. How many different dinner meals are possible
Answers
The number of different meals possible is 96, computed using combinations.
The combination is a method of choosing a number of articles from a larger set of articles in no particular order.
In the question, we are asked about the different dinner meals possible when a dinner meal is made up of an appetizer, a main course, a dessert, and a drink.
The choices for the appetizer are soup or salad, so the number of ways of choosing an appetizer = 2C1 = 2.
The choices for the main course are chicken, fish, steak, or lobster, so the number of ways of choosing a main course = 4C1 = 4.
The choices for the dessert are ice cream, pie, sorbet, or pastry, so the number of ways of choosing a dessert = 4C1 = 4.
The choices for the drink are coffee, tea, or milk, so the number of ways of choosing a drink = 3C1 = 3.
The total number of ways is the product of all of them.
Therefore, the total number of ways = 2*4*4*3 = 96.
The number of different meals possible is 96, computed using combinations.
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What is the central idea of this passage? human beings are creative when they get into trouble. because of one man’s actions, whales never eat human beings. whales always have a sore throat because of a grating. human beings should stay away from whales to avoid being swallowed.
Answers
Answer:
B) Because of one man’s actions, whales never eat human beings.
Step-by-step explanation:
I'm pretty sure :P
Answer:
Because of one man’s actions, whales never eat human beings.
Step-by-step explanation:
need help with this question
Answers
Answer:
(4,6)
Step-by-step explanation:
To calculate the midpoint of two points, just calculate the arithmetic mean (average) of the x and y values of the two points given. For example, it is easy to see visually that the midpoint of (2, 0) and (4, 0) is (3, 0), since (3,0) falls right in the middle of the two points. However, the way to calculate this would be to take the average of 2 and 4 (3), along with the average of 0 and 0 (0). This process gives us our new point (3, 0). In case this doesn't make sense, here is the formula for the midpoint of two points - (x1,y1) and (x2,y2):
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
For this problem, E is (2,4) and F is (6,8). So, the midpoint would be:
[tex](\frac{2+6}{2},\frac{4+8}{2})=(\frac{8}{2},\frac{12}{2})=(4,6)[/tex]
Therefore, the midpoint is (4,6)
Consider the relation given by the graph below.
a) Is the relation a function? Why or why not?
b) Determine the domain and range of the graph.
Answers
The given relation is function, because the curve of y = p(x) has its exist for every x in its domain(-6, 3) and the range of the function is lies between (-1, 9).
What are functions?
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent while Y is dependent variable.
As Clearly the shows in the graph the structure is decreasing, increasing and then decreasing. And implies, curve is continuous in its limits and for every x (-6,3) there is exist in range of y(-1, 9).
Thus, The given relation is function, and domain is (-6, 3) and the range of the function is lies between (-1, 9).
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Pls help me I got it wrongg :((
Answers
Answer:
4 ounces
Step-by-step explanation:
I'm assuming when it says: [tex]33\frac{1}{3}%[/tex]% it means 33.3333333333 instead of 33/3.
Anyways under that assumption, we currently have 20 ounces in the grape juice, since 4 ounces is grape juice concentrate and 16 ounces is water. So currently let's just say that the total amount of grape juice concentrate is going to be: [tex](4+x)[/tex] where x is the amount of grape juice concentrate you need to add to make it 33.33%. The next thing to know is how to calculate how much percent a is of b. This can be calculated using the equation: [tex]\frac{a}{b}*100[/tex]. So in this case the a is going to be the grape juice concentrate, and the b is going to be the entire mixture (water and grape juice). Since the concentrate is having x added to it, that means the entire thing is also having x added to it. This means we have the equation: [tex]\frac{4+x}{20+x} * 100[/tex], since we already have 4 ounces of grape juice concentrate, and we already have 20 ounces in total (16 ounces of water + 4 ounces of grape juice). This is going to be equal to 33.33%, or in other words 33 1/3. So to make this a bit easier, I'm going to convert this mixed fraction into one fraction, this gives you the fraction: [tex]\frac{100}{3}[/tex]. So now that's all left to do is set these two expressions equal to each other and solve for x
Original equation
[tex]\frac{4+x}{20+x}*100=\frac{100}{3}[/tex]
Divide both sides by 100
[tex]\frac{4+x}{20+x}=\frac{100}{3}\div 100[/tex]
Keep fraction, change division to multiplication, flip 100
[tex]\frac{4+x}{20+x}=\frac{100}{3}* \frac{1}{100}[/tex]
The 100 in the numerator will cancel out the one in the denominator
[tex]\frac{4+x}{20+x}=\frac{1}{3}[/tex]
Multiply both sides by 20+x
[tex]4+x=\frac{20+x}{3}[/tex]
Multiply both sides by 3
[tex]3(4+x)=20+x[/tex]
Distribute the 3
[tex]12+3x=20+x[/tex]
Subtract x from both sides
[tex]12+2x=20[/tex]
Subtract 12 from both sides
[tex]2x=8[/tex]
Divide both sides by 2
[tex]x=4[/tex]
So Kahn needs to pour 4 more ounces of grape juice, to double check this, since the mixture already has 4 ounces of grape juice, this means the final mixture will have a total of 8 ounces of grape juice concentrate, and a total of 24 ounces, since it already had 16 ounces of water, and 4 ounces of grape juice and now there is 4 more ounces of grape juice being added, so a total of 24 ounces. this means that 8/24 will be grape juice concentrate or in other words: [tex]\frac{1}{3}[/tex] and when you multiply this by 100 (to convert to percent), you get 100/3 or 33 1/3%
find the quotients in the exponential forms by using laws of indices.
8^{2} ÷2^{10}=?
Answers
Answer:
Step-by-step explanation:
[tex]\dfrac{8^2}{2^{10}}\\=\dfrac{(2^3)^2}{2^{10}}\quad (8=2^3)\\\\=\dfrac{2^6}{2^{10}}\\\\=\dfrac{1}{2^{4}}=\dfrac{1}{16} \\\\or \quad 2^{-4} .[/tex]
Find the GCF of the monomials: 32x^2 and 24x^2y
Answers
Answer:
8x^2
Explanation:
First, do prime factorization of each of the coefficients:
32 ⇒ 2^5
24 ⇒ 2^3, 3
The greatest common factor (GCF) of the coefficients is 2^3 = 8.
Next, find the GCF of the variables:
x^2
x^2, y
The GCF of the variables is x^2.
Finally, multiply the GCF of the coefficients by the GCF of the variables to get:
8x^2
Answer: 4x^2
Step-by-step explanation: I took the test and got this answer right
MATH HELP!!! 100PTS!!!
Let p(x)=2x−4 and r(x)=6x−1/9x+1.
Solve p(x)=r(x) for x exactly. If there is more than one answer, enter your exact solution(s) in a comma separated list.
Answers
Answer:
[tex]x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}[/tex]
Step-by-step explanation:
Given functions:
[tex]p(x)=2x-4[/tex]
[tex]r(x)=\dfrac{6x-1}{9x+1}[/tex]
Solve for p(x) = r(x):
[tex]\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}[/tex]
As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]a=18, \quad b=-40, \quad c=-3[/tex]
Substitute the values of a, b and c into the quadratic formula and solve for x:
[tex]\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}[/tex]
Therefore, the solutions are:
[tex]x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}[/tex]
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y≥-x+4 linear inequality graph
Answers
The slope m = -1 and the y-intercept = ( 0, 4 ).
The graph is a solid line, shaded area above the boundary line since y is greater than -x + 4.
What is the graph of the inequality?Given that;
y ≥ -x + 4
First, we use the slope intercept form y = mx + b to determine the slope and y-intercept.
y ≥ -x + 4
y = mx + b
We can see that;
m = -1
b = 4
Hence, the slope m = -1 and the y-intercept = ( 0, 4 ).
The graph is a solid line, shaded area above the boundary line since y is greater than -x + 4.
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How many integers in the set of all integers from 1 to 200, inclusive, are not the cube of an integer
Answers
Cubing of integers from 1 to 5 will have their cubes in the interval 1 to 200. There are such 5 positive numbers (1,2,3,4,5).
To calculate the variety of integers, locate and subtract the integers of the hobby after which subtract 1. As evidence of the concept, calculate the wide variety of integers that fall between five and 10 on more than a few lines. We realize there are four (6, 7, 8, 9).
All entire numbers are integers (and all herbal numbers are integers), however now not all integers are whole numbers or natural numbers. as an example, -five is an integer but not an entire variety or a natural quantity. An integer is an entire variety (not a fractional number) that can be fine, bad, or 0. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.forty three, 1 3/four, three.14, . 09, and five,643.1.
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(Please help, quickly if possible.)
Which types of dilation are the given scale factors?
Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
(See image attached for details.)
Answers
A scale factor is a contracting scale such that x < 1, where x is the scale factor.
For example, if the scale factor x is less than 1, then it must be decreasing in size, and thus be contracting in size.
But, if the scale factor is greater than 1, then it is expanding in size and increasing.
1) -5 is expanding. It is greater than one.
2) -1/4 is contracting. It is less than one.
3) 3.5 is expanding. It is greater than one.
4) 6/7 is contracting. It is less than one.
Area=
I need some help solving this question I'm stuck. Thanks
Answers
Answer: 36 square units
Work Shown:
area = base*height/2
area = 12*6/2
area = 72/2
area = 36
The base and height are always perpendicular to each other. The triangle formula above applies to obtuse triangles, as well as any other type of triangle. It might help to rotate the triangle so that side IJ is at the bottom rather than the top.
A spinner is spun that has 15 equal-sized sections numbered 1 to 15. What is the probability the spinner lands on a multiple of five?
Answers
Answer:
1/5
Step-by-step explanation:
P(event) = # of favorable outcomes / # of total outcomes. Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40 ... and there are 3 multiples of 5 within 1 to 15. So the # of favorable outcomes is 3. # of total outcomes is 15 because there are 15 equal-sized sections.
P = 3/15 = 1/5