I need to find "S"
32 = s - 19
Add 19 in both sides
32 + 19 = s - 19 + 19
51 = s
Result
s = 51
Tim measured a house and made a scale drawing. In real life, the hall closet is 6 feet long. It is 10 inches long in the drawing. What is the scale of the drawing?
Answer:
60
Step-by-step explanation:
Please help as soon as you can
The coordinates of the triangle S'T'U' is (2, -1), (5,3), (1, -4) and the triangle S"T"U" is (1,3), (4,5),(0,-2)
Coordinates:
Basically, the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes is known as coordinates.
Given,
The triangle STU is graphed at S(2,-1) T(5,-3) U(1,4). Triangle STU is reflected over the x-axis to create triangle S'T'U' and then translated by the rule (x,y) ->(x-1,y+2) to create S"T"U".
Here we need to find the coordinates for triangle S'T'U' and S"T"U".
In order to find the correct transformation for this triangle, we have to do the following,
The formula that is used to reflect a coordinate point about the x-axis.
(X2,Y2) = (X1,Y1) * (1,-1)
So, based on this rule, the coordinates of S'T'U' is,
S(2,-1) => S'((2 x 1), (-1 x -1)) = > S'(2,-1)
T(5,-3) => T'((5 x 1), (-3 x -1)) => T'(5, 3)
U(1,4) => U'((1 x 1), (4 x -1)) => U'(1, -4)
Now we have to apply the next rule,
=> (x, y) -> (x-1, y+2)
S'(2,1) => S'((2 - 1), (1 + 2)) = > S'(1, 3)
T'(5,3) => T'((5 - 1), (3 + 2)) => T'(4, 5)
U'(1,-4) => U'((1 - 1), (-4 + 2)) => U'(0, -2)
Therefore, the coordinates of S'T'U' is (2, -1), (5,3), (1, -4) and the coordinates of S"T"U" is (1,3), (4,5),(0,-2)
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help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Which is the graph of f (x ) = x^3 + 2x^2 – 4x– 1?-(Notice the increments on the graph are by 2.)
We must identify which graph corresponds to the function:
[tex]f(x)=x^3+2x^2-4x-1.[/tex]1) The function f(x) is a polynomial of degree 3, so it has 3 roots, i.e. it must cross the x-axis in 3 places. Taking into account this fact, we know that the 1st and 3rd graphs cannot represent the function f(x).
2) Now, when x takes a very big value, the cubic term of the polynomial dominates, and f(x) > 0 for x → ∞. From the remaining options, we see that the 2nd takes f(x) < 0 for x → ∞, so we can discard that option. The remaining option is the 4th graph, so we conclude that that is the correct option.
Answer: 4th graph.
Hi this is the question that I have. I don’t know if the one that I have chose is right or not. Please help me
To answer this question we must carefully understand the scope of the numbers of the table.
* It represents the number of adults that listen to audiobooks or not. But not all adults, just the surveyed adults.
* Nothing is said about books, only about audiobooks.
Some of the choices are tricky. For example, second and fourth choices talk about books, so they must be discarded.
The third choice refers to all adults, but the table refers only to the 640 adults that were asked.
The first choice is the best question that can be answered using the table.
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?
The of the hypotenuse of the right triangle having a length of 20 units for one leg and 12 units for the other is √( 544 ) units.
What is the length of the hypotenuse?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
This is expressed as;
(Hypotenuse)² = (Leg 1 )² + (Leg 2)²
Given the data in the question;
Length of leg 1 = 20 unitsLength of leg 2 = 12 unitsLength of hypotenuse = ?Plug the given values into the formula above and solve for hypotenuse.
(Hypotenuse)² = (Leg 1 )² + (Leg 2)²
Hypotenuse = √( (Leg 1 )² + (Leg 2)² )
Hypotenuse = √( (20 )² + (12)² )
Hypotenuse = √( 400 + 144 )
Hypotenuse = √( 544 ) units
Therefore, √( 544 ) units is the length of the hypotenuse.
Option D) is the correct answer.
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What is the regression equation for the given data?
The regression equation for the given data is y = -35.575 + 24.774 x.
Let x be the guests and y be the cost.
From the given table:
mean of x = ∑x / n
= 3+4+4+6+6+7+8+8 / 8
= 46/8
= 5.75
∑[tex]x^{2}[/tex] = 290
mean of y = ∑y/n
= 30+60+88+90+115+160+150+162 / 8
= 106.875
a = mean of y - mean of x * b
[tex]b = \frac{s_{xy} }{s_{xx} }[/tex]
[tex]s_{xx} \\[/tex] = ∑[tex]x^{2}[/tex] - (∑[tex]x)^{2}[/tex]/n
= 290 - 46*46/8
= 25.5
[tex]s_{xy} =[/tex] ∑xy - ∑x∑y / n
= 5548 - 46*855/8
= 631.75
a = 106.875 - 5.75*b
b = 631.75/25.5
b = 24.774
a = -35.575
Therefore the regression equation y = -35.575 + 24.774 x.
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Four times a number is less than 56. Find the largest integer that satisfies the inequality
13.
13x4 is 52 which is the largest integer that's less than 56.
14 x 4 is 56 which is equal or less than.
help meeeeeeeeee pleasee
Answer: 2.5, 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3[/tex]
Solve for u.
-2|3u| +5 > -5
The value of u is -5/3 < u < 5/3
We need to calculate the value of u
-2|3u| +5 > -5
-2(3u) + 5 > -5
-6u + 5 > -5
-6u > -10
6u < 10
3u < 5
u < 5/3
-2(-3u) + 5 > -5
6u + 5 > -5
6u > -10
3u > -5
u > -5/3
Therefore, the value of u is -5/3 < u < 5/3
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Gabrielle is 15 years older than Milkhail. The sum of there ages is 95 what is Milhails age
The age of Milkhail is 40 years .
In the question ,
it is given that
the the sum of ages of Gabrielle and Milkhail is = 95
let the age of Milkhail be "m" .
given that Gabrielle is 15 years older than Milkhail
So, the age of Gabrielle is = m + 15
the equation representing the sum of ages is given by
total age = age of Milkhail + age of Gabrielle
95 = m + m + 15
adding the like terms ,
we get
95 = 2m + 15
subtracting 15 from both the sides
2m = 95 - 15
2m = 80
dividing both sides by 2
m = 80/2
m = 40
Therefore , the age of Milkhail is 40 years .
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Which of the following are equivalent to the function y = 3cOS X + 2? Check all that apply. A. y = 3cos(-x) + 2 B. y = -3cOS X-2 C. y = 3sin(x + 1) +2 + D. y = 3sin(x-7)+2
We need to plot the graphs of these functions on the same axis:
[tex]\begin{gathered} \text{From the graph, we s}e\text{ the function} \\ y\text{ = 3cosx + 2 has the same grap as } \\ y\text{ = 3sin(x + }\frac{\pi}{2})\text{ + 2} \\ \\ \text{Please note from angles in trigonometry:} \\ \sin \text{ (90 + }\theta)\text{ = cos }\theta \\ \cos x\text{ = sin (90 + x)} \end{gathered}[/tex]Hence, the correct option
[tex]y\text{ = 3sin(x + }\frac{\pi}{2})\text{ + 2 (option }C)[/tex]Jennifer's family is going to see the Atlanta Symphony Orchestra. Tickets cost $79 each, and there is a $14.95 convenience fee for each ticket. If Jennifer's mom buys tickets for 6 people, how much money does she spend in all?
Answer:
563.7
Step-by-step explanation:
add 79 + 14.95 and multiply that by 6
0.6 times 2.2 with 2 diffrent models
Answer:
0.6 x 2.2 = 1.32
2.2 x 0.6 = 1.32
Step-by-step explanation:
You just have to do 0.6 x 2.2 and flip it to get your second model.
Answer:
0.6 x 2.2 = 1.32
2.2 x 0.6 = 1.32
Step-by-step explanation:
the commutative property allows this to happen; flip the order in which the numbers fall
yw have a great day
Complete the table below to find solutions to the linear equation y = 5x + 35
y = 5x + 35
When x = 0, we substitute x = 0 into the equation above and then solve for y
y = 5(0) + 35
y = 0+ 35
y = 35
when x =3, substitute into the equation and then solve for y
y = 5(3) + 35
y = 15 + 35
y = 50
when x=-7, substitute x=-7 into the equation above and then solve for y
y = 5(-7) + 35
y = -35+ 35
y=0
x y (x,y)
0 35 (0, 35)
3 50 (3, 50)
-7 0 (-7, 0)
a board of directors consists of ten men and five women. a four-member search committee is randomly chosen to recommend a new company president. what is the probability that all four members of the search committee will be women?
The probability of all four women being on the search committee as members in it is 1/273.
We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.
The probability of that happening can be calculated using the formula -
= Probability of all four women getting selected/Probability of all getting selected
= (5!/4!.1!) / (15!/4!11!)
= (5!/4!1!) * (4!11!/15!)
= (5*4*3*2*1) / (15*14*13*12)
= 1/273
From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.
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2d a researcher wanted to know if there was a significant difference in cyber security breaches between cities on two different continents. what test should he conduct to determine if there is a significant difference in cyber security breaches between the continents? write up the results and determine what do the results mean? here is the data set: asia europe 40 25 52 35 63 20 70 18 25 19 19 14 11 9
There is no significant difference between the cyber security breaches of the two destinations and the values are t-value is 0.16221, the p-value is .874721.
We use two sample t-test to check for the significance.
We take the sample of Asia as treatment 1 and that of Europe as treatment 2
Treatment 1
[tex]N_{1}[/tex]: 5
[tex]df_{1}[/tex] = N - 1 = 5 - 1 = 4
[tex]M_{1}[/tex]: 24.6
[tex]SS_{1}[/tex]: 77.2
[tex]S^{2} _{1}[/tex] = [tex]SS_{1}[/tex]/(N - 1) = 77.2/(5-1) = 19.3
Treatment 2
[tex]N_{2}[/tex]: 6
[tex]df_{2}[/tex] = N - 1 = 6 - 1 = 5
[tex]M_{2}[/tex]: 23.5
[tex]SS_{2}[/tex]: 1051.5
[tex]S^{2} _{2}[/tex] = [tex]SS_{2}[/tex]/(N - 1) = 1051.5/(6-1) = 210.3
T-value Calculation
[tex]S^{2} p_{}[/tex] = (( df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22) = ((4/9) * 19.3) + ((5/9) * 210.3) = 125.41
s2M1 = s2p/N1 = 125.41/5 = 25.08
s2M2 = s2p/N2 = 125.41/6 = 20.9
t = (M1 - M2)/√(s2M1 + s2M2) = 1.1/√45.98 = 0.16
The t-value is 0.16221. The p-value is .874721. The result is not significant at p < .05
Hence the answer is there is no significant difference between the cyber security breaches of the two destinations and the values are t-value is 0.16221, the p-value is .874721.
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(It would be great if there were an explanation, I'm struggling to understand how this works.) Triangle FGH has vertices F(−4, 0), G(0, 4), and H(4, 0). A dilation, centered at the origin, is applied to this triangle. The image has vertices F′(−12, 0), G′(0, 12), and H′(12, 0).
What is the scale factor of this dilation?
Enter your answer in the box.
Nevermind, solved. The answer is 3 because if you multiply each of the original points by 3 you get the new points. Since I already put this question up, you can answer just for points.
A scale factor is defined as the ratio between the scale of a given original object and a new object.
The scale factor of this dilation is 3.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
We have,
Triangle FGH has vertices:
F = (−4, 0)
G = (0, 4)
H = (4, 0).
The image of the triangle has vertices:
F′ = (−12, 0)
G′ = (0, 12)
H′ = (12, 0)
We see that,
Multiplying 3 on all the vertices of
F = (−4, 0)
G = (0, 4)
H = (4, 0)
we get,
F′ = (−12, 0)
G′ = (0, 12)
H′ = (12, 0)
This means,
A dilation with a scale factor of 3 is applied to the triangle.
Thus,
The scale factor of this dilation is 3.
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Can please help me here
Answer:B your correct
Step-by-step explanation:the x axis is the domain so if the point is directly on the y axis the x whould be zero so the answer is -1.5
fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3 viles of each colorI have 496 cups of paint to fillratio of powder to paint is one part powder to five part paint I know that 3 vials of powder which is 60g= 0.2536 cups. & .2536 cups ×5 parts paint= 1.268 cups of mixture. I got this from theBecks on hereknowing this how many sets of powder do I need to buy in order to us all my paint?
First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have
[tex]\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}[/tex]We write this as a ratio
[tex]\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}[/tex]for the 496 cups of paint you will need 99.2 cups of powder.
Continue by seeing how may grams there are in 99.2 cups
[tex]\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}[/tex]write it as a ratio and solve for x again.
[tex]\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}[/tex]now find how many vials you will need
[tex]\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}[/tex]write the ratio and solve
[tex]\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}[/tex]If each sets comes with 12 sets, write the ratio and find the number of sets you will need
[tex]\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}[/tex][tex]\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}[/tex]you will need 98 sets for this amount of paint.
I need help with this problem. please if you can?
Answer:
1. Sometimes True.
2. Sometimes True.
3. Always True.
Explanation:
Given the statements;
1.
A percent of a number is smaller than the original number.
Sometimes True.
When the percentage is less than 100% it will be less than the number which makes the statement true, while when the percentage is greater than or equal 100% then the number will be greater than or equal to the original number which makes the statement false.
2.
It saves you more money to have a coupon for an amount of money off instead of a percent off.
Sometimes True.
It depends on the amount of money off and the percent off. Either of them could save more money.
3.
An improper fraction written as a percent will be greater than 100%.
Always True.
when an improper fraction is written as a percentage it will always be greater than 100%
A stationary store sells large and small packages of greeting cards. Each large package contains h greeting cards. Each small package contains kgreeting cards, which is 4 less than the larger package. Express h in termsof k. *
In this case the answer is very simple. .
Step 01:
Data
large package = h cards
small package = k cards
Step 02:
large package - 4 = small package
h - 4 = k
h = k + 4
The answer is:
h = k + 4
8 - Arrange from LEAST to GREATEST without the use of a calculator
Given the numbers:
[tex]3^{\frac{1}{3}},\text{ }4^{\frac{1}{2}},\text{ }\sqrt[3]{9},\text{ 1}^8,\text{ \lparen-}\frac{1}{2})^{-2}[/tex]Let's arrange the numbers from the least to the greatest without the use of a calculator.
Now, let's first simplify each term.
We have:
[tex]\begin{gathered} 3^{\frac{1}{3}}=\sqrt[3]{3} \\ \\ 4^{\frac{1}{2}}=\sqrt{4}=2 \\ \\ \sqrt[3]{9} \\ \\ 1^8=1 \\ \\ -(\frac{1}{2})^{-2}=(-2)^2=4 \end{gathered}[/tex]Therefore, arranging the numbers from the least to the greatest, we have:
[tex]\begin{gathered} 1 \\ \\ \\ 3^{\frac{1}{3}} \\ \\ \\ 4^{\frac{1}{2}} \\ \\ \sqrt[3]{9} \\ \\ \\ (-\frac{1}{2})^{-2} \end{gathered}[/tex]If an object is dropped, the distance it fails during t seconds is given by d(t)=1/2gt^2, where g is about 32ft/sec^2. Find the distance an object would fall in 8 seconds.
Since the distanc function is given by
[tex]d(t)=\frac{1}{2}gt^2[/tex]in order to find the distance at 8 seconds, we need to substitute t=8 into this function, that is,
[tex]d(8)=\frac{1}{2}g(8)^2[/tex]By taking into account that g=32 ft/sec^2, we have
[tex]d(8)=\frac{1}{2}(32)(64)[/tex]which gives
[tex]\begin{gathered} d(8)=16\times64 \\ d(8)=1024 \end{gathered}[/tex]Therefore, the answer is 1024 ft, which corresponds to the last option.
BRAINLIST PLEASE HELP!
(a) Angle B = Angle C = 65 degree.
(b) Angle x and Angle y is 70 degree .
Given,
In the question:
9. Write a sequence of rigid motion to take figure ABC to figure DEF.
Now According to the question:
Take a figure ABC to figure DEF
So, CB = FE
BA = ED
Angle B = Angle E
10.(a) To find the unknown measure:
In triangle ABC
Angle A = 90 degree
To find the Angle B and C
Let the angle B and C be x
We know that :
Sum of angle triangle is 180 degree
50 + x + x = 180
50 + 2x = 180
2x = 180 - 50
2x = 130
x = 65°
Hence, Angle B = Angle C = 65 degree.
10. (b) Given,
Angle ABC = Angle BAC
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Substitute Angle ABC = y and Angle BAC = x into Angle ABC = Angle BAC .
Angle (ABC + ACB + BAC) = 180 degree (Angle sum theorem)
=> y + 40 + x = 180
=> x + 40 + x = 180
=> 2x = 180 - 40
=> 2x = 140
x = 70°
Hence, Angle x and Angle y is 70 degree .
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2 gallons = 9 litres
16
to convert 17 gallons into liters
Answer:
Step-by-step explanation:
17/2=8.5
8.5 x 9=76.5
lin is mixing orange paint for a play. the color takes 3 parts red to 2 parts yellow. if lin has 18 cups of yellow paint how many cups of red does he need?
the number of cups of red Lin needs is 27 cups
Explanation:number of parts of red = 3
number of parts of yellow = 2
the ratio of red to yellow = 3:2
when lin's number of cups of yellow = 18
let the number of cups of red = x
3 red = 2 yellow
x red = 18 yellow
cross multiply:
3(18) = 2(x)
54 = 2x
divide both sides by 2:
54/2 = 2x/2
x = 27
Hence, the number of cups of red Lin needs is 27 cups
In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 6 feet of fence for the shortest side and 10 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?
If in a video game, Shar has to build a pen shaped like a right triangle for her animals. The feet of fencing that is needed for the entire animal pen is : 24 feet.
How to find the feet of fencing needed?First step is to make use of Pythagorean theorem formula to find the other side of the triangle
c= √a²+b²
Where:
a=Side of right triangle
b=Side of right triangle
c=hypotenuse
= √(10² - 6²)
=√(100 - 36)
= √62
= 8 feet
Now let find the perimeter of the triangle
Perimeter of the triangle = 6 feet + 8 feet + 10 feet
Perimeter of the triangle = 24 feet
Therefore the feet needed is 24 feet.
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Answer:24 feet
Step-by-step explanation:i took a test
help me solve this
-7+3=?
-4Answer:
Step-by-step explanation:
Answer:
-7 + 3 = -4
Step-by-step explanation:
May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
A dozen muffins is 12 muffins. A recipe calls for 3/4 cup of almonds to make half a dozen muffins. Use a complex fraction to find how many cups of almonds are needed to make a dozen muffins.
1) Firstly, let's set a proportion to find out how mny cups of almonds are needed.
muffins cups of almonds
6 3/4
12 x
2)
Cross multiplying it:
6x = 12 * 3/4
6x = 9
x= 9/6
3