Answer:
5:1
please mark me as brainlist
How much would Carol have to invest today at 5.5% compounded annually to have $5300 for a vacation to China in three years?
Select one:
a.
$5023.70
b.
$4513.55
c.
$3179.08
d.
$4768.62
Find the Value of X.
The value of x is 33.2
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.
Also the ratio of corresponding sides of similar triangles are equal.
Therefore;
Triangle EHG and EFG are similar
39/36 = 36/x
36 × 36 = 39x
39x = 1296
divide both sides by 39
x = 1296/39
x = 33.2
Therefore the value of x is 33.2
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-5,-3)
(2,7)
(0, -1)
Step-by-step explanation:
it is a parallelogram.
in comparison to a rectangle one side is shifted a bit, but the endpoints of the shifted side are still positioned the same way relative to each other.
and particularly, their relative offset from each other must be the same as for the endpoints of the other, parallel side.
let's look at
(0, -1) and (2, 7).
their relative offset is given by
x + 2 (from 0 to 2)
y + 8 (from -1 to 7)
the missing point must have the same offset from (-5, -3), as this line is parallel to the one above :
-5 + 2 = -3
-3 + 8 = 5
so, the missing point is (-3, 5).
What is the y intercept for the function f(x)=2•5x+4
awnser is 5
Step-by-step explanation:
the y intercept is always the number next to the x.
Therefore 5 is your y intercept :)
What is a hectoliter?
1,000 liters
100 grams
1/100 of a liter
100 liters
Answer:
100 litres
Step-by-step explanation:
Answer:
It is 100 liters
Step-by-step explanation:
I hope it helps lol
Sue and Kim loved their skittlest Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles.Using the ratio table below, help Kim determine the number of calories for 80 grams of Skittles. Amount (8) 80 Calories 40 80 160 10 20 40 After Sue and Kim figure out the number of calories in 80 grams of Skittles, they walk home. Once Sue arrives home, Sue notices her aunt cooking in the kitchen. "What are you making Aunt Lir asked Sue. "I am making cookies for the banquet on Friday." Here is the recipe as she hands it to Sue. Sue notices that the recipe called for 3 eggs for every 2 cups of flour. If Sue's aunt were to make a batch of cookies where she uses 8 cups of flour, how many eggs would she need? Create a ratio table to help visualize this. Number of eggs Cups of flour >
The amount of calories in a bag of skittles follows the ratio
160:40
To determine how much calories does 80grams of skittles have you have to do as follows.
80 grams is the double of 40grams, so multiply the mount of calories by 2 and you'll have the calories that 80 grams of skittles have:
160*2=320calories
So 80gr of skittles have 320 calories
*-*-*
The recipe of the coockies calles for
-3eggs
-2cups of flour
To determine the amount of eggs needed for 8 cups of flour, you can use cross multiplcation
If 2 cups flour use 3 eggs
8 cups of flour use x egs
\(\begin{gathered} \frac{3}{2}=\frac{x}{8} \\ (\frac{3}{2})\cdot8=x \\ x=12 \end{gathered}\)She'll need a dozen eggs for 8 cups of flour
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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20
1. Find the sum of the series > 4n - 1. Show your work.
n=1
Answer:
Answer:
I guess answer is 3 as n value is 1 so we can substitute 1 in n value so that we can get answer as 3
a triangle has one side length of 9cm and another side of .12cm what are 3 possible answers for the third side
If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side are: 17, 20, and 21.
What are the possible lengths for the third side?To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:
9 + 12 > x
9 + x > 12
12 + x > 9
Simplifying these inequalities, we get:
x > -3 (always true)
x > -9 (always true)
x > -3 (always true)
Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).
The possible lengths for the third side are:
9 + 12 > x, so x < 21
9 + x > 12, so x > -3
12 + x > 9, so x > -3
Therefore, the possible lengths for the third side of the triangle are:
17 (9 + 12 = 21, which is greater than 17)
20 (9 + 12 = 21, which is greater than 20)
21 (9 + 12 = 21, which is equal to 21)
So, the three possible lengths for the third side of the triangle are 17, 20, and 21.
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The complete question is:
A triangle has one side length of 9
centimeters (cm) and another side length of 12
cm.
Which answers are possible lengths for the third side?
Select three that apply
17
22
9
21
20
3
Help me geometry makes 0 sense and I’m not smart and don’t understand it yet…
Find the solution set to this inequality:
6m+2<5m- 4
O im m: 6
0 mm 2
(
mm2)
mm 6
Answer:
vruu
Step-by-step explanation:
skvnrwniohwrigjqepvpoqepmveppiehpihuorhg8hginvknkcmksmlkqslqbyftdrses6duguhojcfxzwexyvyih8ttde5setvjmpokuigcfxdetguinjnh fxtrfyhbh c
\(\int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx x^{2} \frac{x}{y} \pi \int\limits^a_b {x} \, dx \sqrt{x} \frac{x}{y} \frac{x}{y} x^{2} x^{2}\)
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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This diagram shows the blue prints a contractor drew for a ramp. In order for the ramp to meet safety regulations, the angle created by the bottom of the ramp and the ground should be no more than 18°.
How many degrees should the contractor lower the ramp by in order to meet safety regulations?
Enter your answer, rounded to the nearest tenth, in the box.
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
We have,
To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.
In the given triangle, the height is 6 ft and the base is 16 ft.
The angle we want to find is opposite the height (let's call it θ).
The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.
sin(θ) = opposite/hypotenuse
sin(θ) = 6/16
sin(θ) = 0.375
To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:
θ = arcsin(0.375)
θ ≈ 22.62°
To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:
22.62° - 18° ≈ 4.62°
Thus,
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
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Easy function or not
Answer:
Problem 9: No
Problem 10: Yes
Step-by-step explanation:
Hello!
Problem 9:
This is NOT a function because one x-value has only one unique y-value. -2 is seen twice and the outputs, y, are given as 6 and 0.5. To be a function, each input has its own unique output. Two different inputs can have the same output.
Problem 10:
This IS a function, all inputs have unique outputs, and no repeating inputs are shown.
Terms:
x - values are also known as input, abscicca
y - values are also known as output, ordinate.
unit 7 right triangles & trigonometry homework 5: trigonometry : finding sides and angles
Answer:
1. 7.3
2. 33.3
3. 21.3
4. 31.9
5. 25.6
6. 11.0
7. 42°
8. 64°
9. 13°
10. 51°
Step-by-step explanation:
make sure if you're using a math calculator that it is in degree mode.
SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.
Cos is Adjacent(next to it)/hypotenus.
Tan is Opposite/Adjacent.
~~
PROBLEM 1:
So we have 63°, 16 as hypotenus, and x as one of the legs.
1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)
2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.
3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996
4. Don't forget to round to the nearest tenth, which gives you
x = 7.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 2:
Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.
1. Set it up, Tan 39° = 27/x can't solve this way so fix it.
2. rewritten as X = 27/tan39
3. round ur answer.
x = 33.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 3:
Given: 49°, adj is 14, hyp is x. So this is Cos.
1. Set up according to CAH, Cos 49=(14/x).
We can't solve it this way since the X is on the bottom. So we have to fix it!
2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.
3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)
4. Round.
x= 21.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 4:
Given: 15°, 33 hyp, adj x. Which is Cos.
1. Cos 15= x/33 and rewrite.
2. Input as 33 cos(15 into calculator = 31.875...
3. Round to tenth.
x = 31.9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 5:
Given: 52°, 20 adj of °, and x opp of °. Will use TAN.
1. Tan 52° = x/20
2. 20 Tan(52 into calculator
3. Round
x = 25.6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 6:
Given: 27°, opp of ° is 5, hyp is x. Will use Sin.
1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.
2. Input into calculator as: 5/sin 27 which equals 11.01...
3. Round.
x = 11.0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 7:
Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.
We will be using SIN, x is still a °.
1. Sin X = 4/6 Rewrite.
2. X= Sin^-1 (4/6)
Make sure ur sin is negative in calculator when doing this.
3. It SHOULD give you 41.81, round.
x = 42°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 8:
Given: x°, 29 opp, 14 adj. TAN.
1. Tan x°= 29/14 or..
2. X = Tan^-1(29/14) solve..
3. gives u 64.23.... round.
x = 64°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 9:
Given: x°, hyp 54, opp 12. SIN
1. Sin x°=(12/54)
2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)
3. Don't Forget to round, answer unrounded: 12.839..
x = 13°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 10:
Given: x°, adj 25, hyp 40. COS
1. Cos x°=25/40 rewrite.
2. X= Cos^-1(25/40) Solve.
3. Round.
X= 51°
Matthew collected data about the ages of the actors in two different community theater groups. He drew a box plot for one of the sets of data and made a table of the other set of data.Ages of Actors is the Southside Players
For the Northside players, the median is 36, the range is 32 and the IQR is 18. For the southside Players : the median is 26, the range is 12 and the IQR is 12.
What is median?The median is regarded as the middle number among a series of sorted numbers that are placed in ascending or descending order.
Note that from the image attached, the northside ages are 22, 25, 28, 29, 29, 36, 36, 41, 49, 49, 54.
The median northside ages therefore is 36
For Range = Highest number - Lowest number
54-22 = 32
IQR = Q₃ - Q₁
Note that first quartile Q1 is said to be the median of the n lowest values and third quartile Q3 is the median of the n highest values.
Lowest value is 22 + 25/2 = 28.5.
Highest value is 49 + 44/ 2= 46.5.
Therefore, IQR = Q₃ - Q₁
46.5 - 28.5 =
IQR = 36
Note, for Southside Players;
If the Ages of Actors is the Southside Players are 20 22 24 26 28 30 32 34.
Then the median is = 26
Range is = 34-22 = 12
IQR = Q₃ - Q₁
Lowest = 20 + 22/ 2 = 21
Highest is 32 + 34 / 2 = 33
33 - 21
IQR = 12
Therefore, for the Northside players, the median is 36, the range is 32 and the IQR is 18. For the southside Players : the median is 26, the range is 12 and the IQR is 12.
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PLS HELP, WHAT ANSWER?
Answer:
C.
Step-by-step explanation:
Answer:
Step-by-step explanation:
When two or more positive numbers are added together, the result or sum is always positive. The sum of a positive and a negative integer can be either positive, negative, or zero.
PLEASE HELP FAST!! IT IS URGENT!! Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long. A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (n inches). Here are the results: 8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18 Are the conditions for cons tructing at confidence interval met?
O No, the random condition is not met.
O No, the 10% condition is not net.
O No, the Normal/large sanple condition is not met.
O Yes, the conditions for inference are met.
Answer:
No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.
The cafeteria lunch menu lists:
Pizza Cheese, Sausage, Pepperoni
Dessert - Pudding or Cookie
Drink-Water, Milk, Soda
How many different lunch meals can you construct from these choices?
O 18
O
O 81
03
Answer: 18
Step-by-step explanation:
Multiply number of each item possible
3*2*3=18
100 POINTS!! Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers.
Answer:
(A, B, C, D)
What is the sample space of the probability?
Sample space is the set of all possible outcomes of a random experiment.
Here given possible outcomes are A, B, C, D
Hence, Sample space of probability = (A, B, C, D), total 4 different choices
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Answer :
The set of all possible out in a random experiment is refer to as sample space.
The reading above is an example of discrete(finite) sample space.
Following the Discrete Probability Law if a sample space consist of a finite number ex:{1 ,2 ,3} . The probability is the sum of the probabilities of the elements.
Therefore answering a multiple choice questions with A,B,C and D are four choices with possible answer of A,B,C and D.
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of these are selected at random. The first selected book is placed on 2- hour reserve, and the second book can be checked out overnight. a. Construct a tree diagram to display the 12 outcomes in the sample space. b. Let A denote the event that at least one of the books selected is an even-numbered copy. What outcomes are in A? c. Suppose that copies 1 and 2 are first printings, whereas copies 3 and 4 are second printings. Let B denote the event that exactly one of the copies selected is a first printing. What outcomes are contained in B?
The event A is that at least one of the books selected is an even-numbered copy. The event B is that exactly one of the copies selected is a first printing.
A tree diagram to display the 12 outcomes in the sample space would look like this:
1st Selection | 2nd Selection
----------------------------
1 | 2
1 | 3
1 | 4
2 | 1
2 | 3
2 | 4
3 | 1
3 | 2
3 | 4
4 | 1
4 | 2
4 | 3
The event A is that at least one of the books selected is an even-numbered copy. This would include outcomes 1-2, 1-4, 2-1, 2-3, 2-4, 4-1, 4-2, and 4-3.
The event B is that exactly one of the copies selected is a first printing. This would include outcomes 1-3, 1-4, 3-1, 3-2, 3-4, 4-1, 4-2, and 4-3.
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Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill
Answer:
1/2 ÷ 1/8 =b
Step-by-step explanation:
4x^2 + 4y^2 - 24x - 32y + 72 = 0 is a circle. What is the radius of the cirlce?
Answer:
√7
Step-by-step explanation:
(4x²-24x)+(4y²-32y)= -72
(4x²-24x+36)+(4y²-32y+64)= -72+36+64
4(x-3)²+4(y-4)²= 28
(x-3)²+(y-4)²=7
The radius of the circle 4x² + 4y²- 24x - 32y + 72 = 0 is √7.
CircleWe know that the general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
How to find the radius of the circle?The given equation is 4x² + 4y²- 24x - 32y + 72 = 0
Simplify the given equation in general equation for a circle.
(4x²-24x)+(4y²-32y)= -72
Add 100 on both side of equality
(4x²-24x)+(4y²-32y)+100= -72+100
(4x²-24x+36)+(4y²-32y+64)= 28
4(x-3)²+4(y-4)²= 28
(x-3)²+(y-4)²=7
(x-3)²+(y-4)²=(√7)²
Hence the radius of the circle is √7.
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What function is represented by a line with slope −2 that passes through the point (0, 4)?
Answer:
y=-2x+4
Step-by-step explanation:
y=ax+b
and point (0,4) passes through this line so 4=-2(0)+b
4=b
equation is :y=-2x+4
rogress bar may be uneven because questions can be worth more or less (including zero) depending on your
Which of the following equations has the solution x = all real numbers?
O. 5(3x) + 6x = 3x + 15 + 2x
5(3x).+ 7x = 3x + 15 - x
5(3x) + 7x = 3x + 10 - x
5(3x) + 7x = x + 15 - 3x
The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,
What is meant equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Here given equations,
5(3x) + 6x = 3x + 15 + 2x
15x + 6x = 3x + 15 + 2x
15 x + 6x - 3x -2x = 15
16 x = 15
x = 15/16
5(3x).+ 7x = 3x + 15 - x
15 x + 7x = 3x + 15 - x
15 x + 7x - 3x + x = 15
22x - 3x + x = 15
20 x = 15
x = 15/20
x = 3/4
5(3x) + 7x = 3x + 10 - x
15x + 7x - 3x + x = 10
20x = 10
x = 10/20
x = 1/2
5(3x) + 7x = x + 15 - 3x
15x +7x - x + 3x = 15
24x = 15
x = 15/24
x = 5/8
Therefore the equations that has the solution x = all real numbers are :
5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .
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Can y’all help me? I would really appreciate it
Answer:
I think the answer is she
Find slope of line please no links
Answer:
Step-by-step explanation:
Using
Point A: x= 1 and y=3
And point B: x=-2 and y=-6
use equation of slope and substitute the values
Slope= YB-YA/Xb-Xa
= -6-3/-2-1
=3
What is the complementary angle of CFB
Step-by-step explanation:
CFB reads as twenty five degrees
complementary angle will add to it to sum 90 degrees = sixty five degrees
angle CFD is sixty five degrees