Answer: 31°. In this case, this is a rigind rotation or transformation wich means that it preserves angle and lenght measurements. So the answer is 31°.
;)
Homework Pls Help Me
Answer:
Just if you need help im a straight A student
Step-by-step explanation:
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
Insert two arithmetic means between -12 and 18.
TIP
To Insert two arithmetic means between -12 and 18
means -12, a, b, 18
STEP 1 OUT 5
a,b is the inserted arithemetic means.
Let the common differences be d
d=a-(-12).....(i)
d=b-a.....(ii)
d=18-b....(iii)
STEP 2 OUT 5
substitute for the value of d in equation (i) using d=b-a
b-a=a-(-12)
collect the like terms
b=a+a+12
b=2a+12.....(iv)
STEP 3 OUT 5
substitute for the value of d in equation (iii) using d=b-a
b-a=18-b
collect the like terms
b+b=a+18
2b=a+18........(v)
STEP 4 OUT 5
We can now solve equation (iv) and equation (v) simultaneously
b=2a+12.....(iv)
2b=a+18.....(v)
we can substitute for b in equation (v)
2(2a+12)= a+18
4a+24=a+18
collect the like terms
4a-a=18-24
3a=-6
Divide both sides by 3
a= -2
STEP 5 OUT 5
Now let's find b we can use either equation (iv) or (v)
using equation (iv). we have to substitute for a
b=2(-2)+12
b=-4+12
b=8
THE FINAL ANSWER IS -2,8
THE TWO ARITHMETIC MEANS BETWEEN -12 AND 18 ARE;
-2, 8
Rose, Bette, and Cindy equally shared 5 boxes of crayons. Write an equation to show how much each girl got.
this is someone else's answer from a question just like this one (Makanzi)
Since there was five boxes of crayons and there was 3 crayons in each one, the would be 15 in total. (crayons) And there was three people, 15/3=5 crayons per person.
Equation: 3x=15
x stands for the amount of crayons each person gets.
2. what is the correct r code to build a linear regression model with response variable y and explanatory variable x? a. lm(y~x) b. lr(y~x) c. lm(y
The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).
The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.
The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.
In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).
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What is the exact definition of the Pythagorean Theorem and who invented it.
Answer:
Pythagoras invented it
Step-by-step explanation:
a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
a local highschool sold 1914 tickets this year to its spring musical. that was 174 more tickets sold than lest year what is the percent increase in the number of tickets sold?
Answer:
1740%...?
Step-by-step explanation:
12) A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating
Answer:
\(P(At\ least\ 1) = 0.9963\)
Step-by-step explanation:
Represent the probability that a graduate finds a job with p
\(p = 55\%\)
Required
Determine the probability that at least 1 of 7 gets a job.
In probability:
\(P(At\ least\ 1) = 1 - P(None)\)
So, we calculate the probability that none of the 7 gets a job.
Represent the probability that a graduate will not get a job with q.
\(q= 1 - p\)
\(q= 1 - 55\%\)
\(q=45\%\)
Represent as decimal
\(q = 0.45\)
The probability that none of the 7 will get a job is \(q^7\)
i.e.
\(P(None) = q^7\)
So, we have:
\(P(At\ least\ 1) = 1 - P(None)\)
\(P(At\ least\ 1) = 1 - q^7\)
Substitute 0.45 for q
\(P(At\ least\ 1) = 1 - 0.45^7\)
\(P(At\ least\ 1) = 1 -0.00373669453\)
\(P(At\ least\ 1) = 0.99626330547\)
\(P(At\ least\ 1) = 0.9963\) -- approximated
Please help. Will award brainliest
The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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The adult daily dosage for a certain medicine is 90 mg (milligrams) of medicine for every pounds of body weight.
At this rate, find the daily dose for a man who weighs 175 pounds.
A daily dose of 15750 mg is required of a certain medicine for a man weighing 175 pounds
An adult daily dose of a certain medicine = 90 mg for every pound of body weight
Daily dose: The adult daily dose specifies the amount of drug dose in mg that must be taken within 24 hours as per the body weight of the person. The body weight of the person determines how much dose is required for the medicine to be effective in the body.
Weight of the man = 175 pounds
The daily dose for a man is given:
Weight of man*Daily dose per pound of body weight
= 175*90
= 15750
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write an equation for the graph below in the terms of x
Irene earned a commission of $5130 on sales of $90,000. What rate of commission was she paid? (Be sure to include the % symbol in your answer.)
We will have that $90000 is the total of sales and therefore the 100%, then we want to know the percentage that $5130 represents:
\(p=\frac{5130\cdot100}{90000}\Rightarrow p=5.7\)She's getting a commission at a rate of 5.7%.
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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22% of what amount is $88?
Answer: The final cost would be 68.64
Explanation: Step 1) Convert 22% to a decimal: 0.22
Step 2) Multiply that by the amount (0.22×88=19.36)
Step 3) Subtract from the amount (88−19.36)=$68.64
Answer $68.64
Brianna incorrectly said proportion below is 1/12
Answer:
Um... u have no picture so we can't answer.
Step-by-step explanation:
Could someone write a full solution? Thanks
The solution set for the integers n is n ∈ [0, ∞).
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
An expression,
(2023 - n) divided by (n + 5)².
To find all positive integers of n such that the (2023 - n) is divided by (n + 5)²:
So, (2023 - n) ÷ (n + 5)²
Therefore, the function is defined for all the positive integers for n.
Hence, n ∈ [0, ∞).
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what are all the terms which are equivalent to the slope in a proportional relationship
Answer:
13
Step-by-step explanation:
well if you add the first parts then undwe rate the next you will get 13
Help now plsssssssssss!!!
b7 is the answer if ur estimating
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Solve for x in the diagram below.
30°
80°
2.cº
T =
Hello, there!!!!
Given that,
80°,3x° and 2x°are three angles on a st.line.
we have,
2x°+3x°+80°= 180° {The total sum of angles on a st. line is 180°}.
or, 5x°= 180°-80°
or, 5x°=100°
or, x= 100°/5
Therefore the value of x is 20°.
Hope it helps...
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
A bird flies at the top speed of 20,000 meters per hour. The bird flies 30,000 meter without stopping. for how many hours did the bird fly if it flew at top speed
Answer:
1 hour and 30 minutes
Step-by-step explanation:
I think this because it said his top speed was 20,000 and he flew 30,000 if you add another 20,000 to the 20,000 he flew in 30,000 you would get 40,000 which is 2 hours so 1 hour and 30 min. Hope it Helped!
Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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The average distances between some objects in our solar system are described below.
• The average distance from Earth to the Moon is 3.844 × 105 kilometers (km).
• The average distance from Jupiter to the Sun is approximately 2 × 103 times the average distance from Earth to the Moon.
Based on this information, what is the average distance from Jupiter to the Sun
7.688 × 10, 2, km
7.688 × 10, 5, km
7.688 × 10, 8, km
7.688 × 10, 15, km, ,
Answer:
Jupiter to Sun = 7.688 * 10⁸km
Step-by-step explanation:
Given
Earth to Moon = 3.844 * 10⁵km
Jupiter to Sun = 2 * 10³ times Earth to Moon
Required
Determine the average distance from Earth to Moon
Jupiter to Sun = 2 * 10³ times Earth to Moon
Substitute 3.844 * 10⁵km for Earth to Moon
Jupiter to Sun = 2 * 10³ * 3.844 * 10⁵km
Collect Like Terms
Jupiter to Sun = 2 * 3.844 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10⁸km
Hence, option C answers the question
Find the area of this semi-circle with diameter, d = 12cm.
Give your answer as an expression in terms of π.
Answer:
6pi
Step-by-step explanation:
Area of a circle = 2pi*r
d = 12
r = d/2
r=6
Area of semicircle = (2pi *r)/2 = pi*r
pi*6 = 6pi
Answer:18π cm^2
Step-by-step explanation:
diameter=12
Radius=diameter ➗ 2
Radius=12 ➗ 2
Radius=6
Area of semicircle=0.5 x π x radius x radius
Area of semicircle=0.5xπx6x6
Area of semicircle=18π cm^2
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
The area of the region enclosed by the given curves is 32 units2.
The region enclosed by the given curves is bounded by the equation y = x2 and y = 4. The region is a parabolic region and needs to be integrated with respect to y. A typical approximating rectangle for this region is shown in the diagram below.
The area of this region can be expressed as the integral:
A = ∫y=x2→4 y dx
This integral can be evaluated by splitting the integral into two parts: A = ∫y=x2→4 x2 dx + ∫y=x2→4 4dx
After evaluating the integrals, the area of the region is:
A = (1/3)x3 + 4x |y=x2→4
A = (1/3)(42) + 4(4 - 22)
A = 32
Therefore, the area of the region enclosed by the given curves is 32 units2.
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The eyes of a student standing at the edge of a platform are 8 ft above the ground. She sees a wallet on the ground at an angle of depression of 32°. About how far away from the base of the platform is the wallet?
A.4.2 ft
B.12.8 ft
C.5.0 ft
D.15.1 ft
The wallet is about 12.8 feets away from the base of the platform.
Angle of depressionusing trigonometric function , the angle of depression can be obtained using the tangent relationship.
The tangent can be mathematically related using the ratio of the opposite and adjacent side.
Tan(A) = opposite/Adjacent
tan(32°) = 8/x
Solving for x, we get:
x = 8/tan(32°)
x = 12.8 feet
Hence , the wallet is about 12.8 feet away from the base of the platform.
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Find the perimeter of the figure
Answer:
20 m
Step-by-step explanation:
For the perimeter, add all the sides together:
4 + 6 + 3 + 5 + 2 = 20 m
Answer:
Step-by-step explanation: Perimeter of figure is = sum of all sides
= 6m+3m+5m+2m+4m
= 9m+7m+4m
= 16m+4m
= 20m
Pls help, the question is in the photo.
For which equations below is x = -3 a possible solution? Select three options
x = -3 a possible solution for |x| = 3, |–x| = 3 and –|x| = –3.
Here, we are given 6 equations and we need to check for which of the following, x = -3 is a solution.
Let us look at each equation one by one,
1. |x| = 3
if x = -3
|-3| = 3
3 = 3
Hence, -3 is a solution to this equation.
2. |x| = –3
if x = -3
|-3| = -3
3 ≠ -3
Hence, -3 is not a solution to this equation.
3. |–x| = 3
if x = -3
|3| = 3
3 = 3
Hence, -3 is a solution to this equation.
4. |–x| = –3
if x = -3
|3| = -3
3 ≠ -3
Hence, -3 is not a solution to this equation.
5. –|x| = –3
if x = -3
-|3| = -3
-3 = -3
Hence, -3 is a solution to this equation.
4. –|x| = 3
if x = -3
-|3| = 3
-3 ≠ 3
Hence, -3 is not a solution to this equation.
Thus, equations |x| = 3, |–x| = 3 and –|x| = –3 are correct.
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Your solution was incomplete. Check for full content below-
For which equations below is x = –3 a possible solution? Check all that apply.
|x| = 3
|x| = –3
|–x| = 3
|–x| = –3
–|x| = –3
–|x| = 3