-9,-6 after a rotation 90° counterclockwise about the origin
Answers
Answer:
90
Step-by-step explanation:
Related Questions
on a conventional lathe using a 0.030 cut off blade, you machine shafts from 2" bar stock, to finish length of 12" with a tolerance of +0.05 and -0.05. you have 4 pieces of raw stock with various lengths one bar is 11.948" one bar is 12.025" one bar is 23.930" and one bar is 25" what is the maximum number of peices you can produce
Answers
The maximum number of pieces you can produce is one.
To determine the maximum number of pieces you can produce from the given raw stock, we need to consider the length of the bar stock, the cut-off blade width, and the desired finished length with tolerances.
Given:
Cut-off blade width = 0.030 inches
Desired finished length = 12 inches with a tolerance of +0.05 and -0.05 inches
Let's analyze each bar and determine if it can yield a finished piece within the given tolerances:
Bar length: 11.948 inches
If we subtract the cut-off blade width from the bar length, we get 11.948 - 0.030 = 11.918 inches. This length is below the desired finished length of 12 inches minus the lower tolerance of 0.05 inches. Therefore, we cannot produce a piece from this bar.
Bar length: 12.025 inches
If we subtract the cut-off blade width from the bar length, we get 12.025 - 0.030 = 11.995 inches. This length falls within the desired finished length range of 12 inches plus/minus the tolerances. Therefore, we can produce a piece from this bar.
Bar length: 23.930 inches
If we subtract the cut-off blade width from the bar length, we get 23.930 - 0.030 = 23.900 inches. This length is far greater than the desired finished length of 12 inches plus the upper tolerance of 0.05 inches. Therefore, we cannot produce a piece from this bar.
Bar length: 25 inches
If we subtract the cut-off blade width from the bar length, we get 25 - 0.030 = 24.970 inches. This length is far greater than the desired finished length of 12 inches plus the upper tolerance of 0.05 inches. Therefore, we cannot produce a piece from this bar.
Based on the analysis, we can produce only one piece from the given raw stock, which is the bar with a length of 12.025 inches. The other bars either fall below the desired finished length or are significantly longer than the desired length with the upper tolerance.
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Dividing fractions word problems, please help I need it........
Answers
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
Americans are stressed out!
A psychologist would like to estimate the proportion of Americans that say "the future of the nation is a
significant source of stress for me." To help form an estimate, the psychologist randomly selected 664
Americans and found that 69.6% of the sample agreed with the statement "the future of the nation is a
significant source of stress for me."
Using a 99% confidence level, determine the margin of error, E, and a confidence interval for the true
proportion of all Americans that say the "the future of the nation is a significant source of stress for me."
Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary.
The margin of error is given by E:
A 99% confidence interval is given by:
Answers
To find the margin of error, we can use the formula: E = z√((p(1-p))/n)
How is margin of error determined?where z is the z-score for a 99% confidence level, p is the sample proportion, and n is the sample size.
From the table of standard normal distribution, the z-score for a 99% confidence level is 2.576.
Plugging in the values, we get:
E = 2.576√((0.696(1-0.696))/664) ≈ 0.0385
So the margin of error is 0.0385.
To find the confidence interval, we can use the formula:
p ± E
where p is the sample proportion and E is the margin of error.
Plugging in the values, we get:
0.696 ± 0.0385
So the 99% confidence interval for the true proportion of all Americans that say "the future of the nation is a significant source of stress for me" is (0.6575, 0.7345). In interval notation, this can be written as [0.6575, 0.7345].
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how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Answers
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answers
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
Answer 70 Points!
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago.
The following table shows the approximate number of tiger gars living in the lake since 2016
This is an example of Exponential _________.
A. Decay
B. Growth
Answers
Answer:
Step-by-step explanation:
Suppose you have a bag with letter tiles in it and of the tiles are the letter . If you pick a letter tile at random from the bag, the probability that it is the letter is
. Suppose another bag has 25 letter tiles in it and 4 of the tiles are the letter j . Write the probability of picking a tile that is the letter j as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter j ?
Question content area bottom
Answers
The probability of picking the title that is letter j is 4/25 in fraction and in percent is 16%. we are more likely to pick a tile that is the letter from the first bag.
The probability of picking a letter tile that is the letter from the first bag is given as and from the second bag, it is 4/25.
To write the probability of picking a tile that is the letter j as a fraction and a percent, we can use the formula:
Probability = Number of desired outcomes / Total number of possible outcomes
For the second bag, the number of desired outcomes (the number of letter j tiles) is 4 and the total number of possible outcomes (the total number of tiles) is 25. Therefore, the probability of picking a tile that is the letter j from the second bag is:
Probability = 4 / 25
To write this as a percent, we can multiply by 100:
Probability = 4 / 25 * 100%
Probability = 16%
Comparing the probabilities, we can see that the probability of picking a letter tile that is the letter from the first bag is higher (since it is given as ) compared to the probability of picking a tile that is the letter j from the second bag, which is 16%.
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explain in words how to find a polynomial in factored form then find a polynomial in factored form of degree 3 with a leading coefficient of 3 and zeros -2 and 5i don't simplify
Answers
Explanation
Answer:
Part A
Step 1: Start with the factored form of a polynomial
\(\left(\right)=\left(−_1\right)(x-z_2)....(x-z_n)\)Step 2: Insert the given zeros and simplify.
Step 3: Multiply the factored terms together.
Step 4: The answer can be left with the generic “”, or a value for “”can be chosen, inserted, and distributed. In most cases, this is the leading coefficient of the polynomial.
Part B: Given a polynomial of degree 3 with a leading coefficient of 3 and zeros -2 and 5i we can use the above method to get;
\(P(x)=3(x-(2)(x-5i)(x-z_3)\)since 5i represents a complex number, there must be a conjugate zero -5i to complement it
Therefore;
\(\begin{gathered} P(x)=3(x+2)(x-5i)(x-(-5i)) \\ P(x)=3(x+2)(x-5\imaginaryI)(x+5\imaginaryI) \end{gathered}\)Answer:
\(P(x)=3(x+2)(x-5\imaginaryI)(x+5\imaginaryI)\)What is the square root of 100?
Answers
Answer:
10
Step-by-step explanation:
the answer is 10 because 100 divided by 10 is 10
Please mark Brainliest
The square root is 10!
Please pick one of the options.
Answers
9880 different possibilities are there in Sally's new combination option second 9880 is correct.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Total unique numbers consists in a Sally locker = 3
From the digits 0 to 39
Total numbers = 40
Apply combination formula:
= C(40, 3)
= 40!/(3!37!)
= 9880
Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.
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The graph shows the distance, y, that a car traveled in x hours:
A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to175 in increments of 35 for each grid line. A line is shown connecting ordered pairs 1, 35 and 2, 70 and 3, 105 and 4, 140. The title of the graph is Rate of Travel.
What is the rate of change for the relationship represented in the graph?
Group of answer choices
fraction 1 over 35
fraction 1 over 34
34
35
Answers
Answer:
Hello, Your answer would be 35 (Fraction 1 over 35)
Hope's this helped.
Step-by-step explanation:
X-1 3/4= 3/4
I do not understand it pls help I need the working to
Answers
Answer:
2 1/2
Step-by-step explanation:
To Find x It the same things as 1 3/4 + 3/4 = x.
Look in the picture for the work or below:
Add \(\frac{7}{4}\) to both sides of the equation
\(x-\frac{7}{4}+\frac{7}{4}=\frac{3}{4}+\frac{7}{4}\)
Simplify
\(\frac{5}{2}\)
\(\frac{5}{2}=2\frac{1}{2}\)
Answer:
\(x = 2\frac{1}{2}\) or \(2.5\)Step-by-step explanation:
\(x - 1\frac{3}{4} =\frac{3}{4}\)
\(x =\frac{3}{4} + 1\frac{3}{4}\)
\(x =\frac{3}{4} + \frac{7}{4}\)
\(x = \frac{3+7}{4}\)
\(x=\frac{10}{4}\)
\(x = \frac{5}{2}\)
\(x = 2\frac{1}{2}\) or \(2.5\)
The owner of a small store buys coats for 55.00 each
He sells the coats for 66.00 each
Answers
he must buy 24 jackets to get atheist 260 dollars
Using what you know about angles and triangles, what is the measure of angle 6?
Answers
Please help my cousin do this. She isn't that bright in math.
Answers
Answer:
$4.8 for sugar and $25 for butter.
Step-by-step explanation:
35 miles per hour how many hours for 500 miles
Answers
Answer:
14 hours
Step-by-step explanation:
35 miles per 1 hour
500 miles per x?
cross multiply
500 miles = 14.28 hours
35miles
x^2 - 6 x + 9 = 4 root(x^2 - 6 x + 6)
Answers
X1= 3-2 root3 x2= 1 x3=5 x4= 3 +2 root 3
First swap the sides then simplify the equation
Collect like terms
Move all the expression to the left to equal 0
Then collect like terms again
Reorder the terms from ^2 to ^4
Factor the expression
Change the signs
Separate into possible cases
Then sold the equation to equal 0
Then check solutions by subbing them in as x
Then you should have 4 perfect answers
Answer:
Hello,
Step-by-step explanation:
\(x^2-6x+9=4\sqrt{x^2-6x+6} \\\\(x-3)^2=4\sqrt{x^2-6x+9-3} \\\\(x-3)^2=4\sqrt{(x-3)^2-3} \\\\Let's\ say\ y=x-3\\\\y^2=4\sqrt{y^2-3} \ squaring\\\\y^4=16(y^2-3)\\y^4-16y^2+48=0\\\Delta=16^2-4*48=64=8^2\\y^2=4\ or\ y^2=12\\\\(y-2)(y+2)=0\ or\ (y+2\sqrt{3} )(y-2\sqrt{3} )=0 \\\\y=2,x=5\ or\\\ y=-2, x=-1\ or\\\ y=-2\sqrt{3},x=3-2\sqrt{3}\ \\or\ y=2\sqrt{3},x=3+2\sqrt{3}\\\\\)
Verifying:
\(1) if\ x=-1\ then\\a)\ x^2-6x+9=1+6+9=16\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{1+6+6} =4\sqrt{13}:\ False\\\\2)if\ x=5\\a)\ x^2-6x+9=25-30+9=4\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{25-30+6} =4\sqrt{1}=4:\ True\\\)
\(3) if\ x=3-2\sqrt{3}\ x^2=21-12\sqrt{3} \\a)\ x^2-6x+9=21-12\sqrt{3}-18+12\sqrt{3}+9=12\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{21-12\sqrt{3}-18+12\sqrt{3}+6} =4\sqrt{9}=12:\ True\\\\\\4) if\ x=3+2\sqrt{3}\ x^2=21+12\sqrt{3} \\a)\ x^2-6x+9=21+12\sqrt{3}-18-12\sqrt{3}+9=12\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{21+12\sqrt{3}-18-12\sqrt{3}+6} =4\sqrt{9}=12:\ True\\\)
Sol={5,3-2√3,3+2√3}
Is x-1
a factor of
x^5-3x^4-2x^3-5x^2+5x+12?
Correct The remainder when you divide is
Answers
The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8
What is the remainder theorem?The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point
The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;
f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8
The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8
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The graph of which function has a
minimum located at (4, -3)?
f(x) = - 4x2 + 4x - 11
f(x) = -2x2 + 16x - 35
f(x) = 4x2-4x + 5
O f(x) = 2x2 - 16x + 35
Answers
The quadratic function that has a minimum located at (4,-3) is given by:
f(x) = 2x² - 16x + 35
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function has a minimum, which means that a > 0, eliminating the first two options. The x-value of the vertex is of x = 4, hence -b/2a = 4, which means that the function is given by:
f(x) = 2x² - 16x + 35.
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Solve 3(2-4x)=5-8x
PLS SHOW CLEAR ALGEBRAIC WORKING
Answers
The solution to the given algebraic expression 3(2-4x) = 5-8x is x = 1/4
How to solve algebraic expression?3(2-4x) = 5-8x
open parenthesis
6 - 12x = 5 - 8x
combine like terms
6 - 5 = -8x + 12x
1 = 4x
divide both sides by 4
x = 1/4
Ultimately, x = 1/4 is the answer to the algebraic expression.
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A store is having a sale on walnuts and chocolate chips. For 8 pounds of walnuts and 4 pounds of chocolate chips, the total cost is $37. For 3 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $15. Find the cost for each pound of walnuts and each pound of chocolate chips
Answers
Answer:
x = $3.50; y = $2.25
Step-by-step explanation:
First, come up with your two equations where x= price of walnuts and y= price of chocolate chips: 8x + 4y = 37 and 3x + 2y = 15. Solve the first equation.
3x + 2y = 15
3x = 15 - 2y
x = (15 - 2y)/3
Plug in the answer to your second equation.
8(15 - 2y)/3 + 4y = 37
(120 - 16y)/3 + 4y = 37
120 - 16y + 12y = 111
120 - 4y = 111
-4y = -9
y = 2.25
Plug in your answer to find x.
3x + 2(2.25) = 15
3x + 4.5 = 15
3x = 10.5
x = 3.5
Check your equation.
1) 3(3.5) + 2(2.25) = 15
10.5 + 4.5 = 15
15 = 15
2) 8(3.5) + 4(2.25) = 37
28 + 9 = 37
37 = 37
Find the measure of S
Answers
Answer:
151°
Step-by-step explanation:
Pentagons interior angles are always 540°. So to solve, you must put
540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31). After solving this you will get x=14 and you can now substitute x in for measure s.
13(14) -31
182 - 31
measure of s = 151°
Answer: 151
Step-by-step explanation:
Step-by-step explanation:Pentagons interior angles are always 540°.
So to solve, you must put 540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31).
After solving this you will get x=14 and you can now substitute x in for measure s.
13(14) -31182 - 31
measure of s = 151°
If f(x)=3x-2/2x and g(x)=4x-1 then f(g(x))=?
(1)7x-3/2x
(2)12x-9/8x-2
(3)12x-5/8x-2
(4)5x-4/x
Answers
Answer:
BOB UX BOB UX ME 1.2.3..4.5.6..7.8.9.0.
Step-by-step explanation:
elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12
Answers
Answer: d.12
Step-by-step explanation:
Find the shaded area. *
8 ft
27 in
36 in.
5 ft
Answers
The area shaded region is 36.625 ft².
We have,
The shaded region.
= The area of the rectangle - The area of the triangle
Now,
Area of the rectangle.
= 8 x 5
= 40 ft²
Area of the triangle.
= 1/2 x 36 x 27
= 18 x 27
= 486 in²
Now,
12 inch = 1 ft
So,
1 inch = (1/12) ft
Now,
486 in² = 486 x (1/12)² = 3.375 ft²
Now,
The area shaded region.
= The area of the rectangle - The area of the triangle
= 40 - 3.375
= 36.625 ft²
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logx+5 64 = 2
Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER
Answers
The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.
solve the equation logₓ(64) + 5 = 2, we can follow these steps:
Step 1: Move the constant term to the other side of the equation:
logₓ(64) = 2 - 5
logₓ(64) = -3
Step 2: Rewrite the equation in exponential form:
x^(-3) = 64
Step 3: Rewrite 64 as a power of x:
x^(-3) = x^6
Step 4: Set the exponents equal to each other:
-3 = 6
The equation -3 = 6 is not true, which means there is no real solution to the given equation.
Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.
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Suppose that the median cost of a home in the United States is $180,800.
Which statements are true about the cost of homes in the United Sates?
Select each correct answer.
Question options:
Half of all homes in the United States cost less than $180,800.
Half of all homes in the United States cost more than $180,800.
Most homes in the United States cost $180,800.
Half of all homes in the United States cost $180,800.
The average cost of a home in the United States is $180,800.
Answers
Answer: A and B
Step-by-step explanation: took the test
When we graph a line using slope and y-intercept, the first point that you graph is
ALWAYS on_____, and you use _____ to get to the next point.
Answers
Answer:
y=mx+b is the formula starting with b say it is 4 you put a dot on 4 on the y axis m is 1/2 you go up 1 right 2 on the 4 points then do the same on the next point you get then you get your line. hope this helps
In a certain country people own a total of about 352 million fish, cats, and dogs as pets. The number of fish owned is 14 million more than the total number of cats
and dogs owned, and 11 million more cats are owned than dogs. How many of each type of pet do people in this country own?
Answers
Answer:
dogs = 79
dats = 90
fish = 183
Step-by-step explanation:
let the total number of dogs owned be x
no. of cats owned = x+11
no. of fish owned = x+11+x+14= 2x+25
hence,
2x+25+x+11+x=352
4x=316
x=316/4= 79mil
no. of cats owned = 79 + 11 = 90
no. of fish owned = 2(79)+25=183