Answer:
y=2/3x+5
Step-by-step explanation:
Parallel lines share the same slope so we already know the slope: 2/3.
Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.
To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.
7=2+b
5=b
Now we can put all the information we have together.
y=2/3x+5
GIVING BRAINIEST (open attachment)
Answer:
1/19
Step-by-step explanation:
Let's say there are x yellow cubes.
That means there are 3x blue cubes.
Therefore, there must be 15x green cubes.
In total: we have 19x cubes.
Therefore the probability of a cube being yellow is x / 19x
which simplifies to 1/19
Answer:
1/19
Step-by-step explanation:
Solution:-
- First we will define the distribution of colors in the bag.
- We will use variable:
x: the number of yellow cubes in bag
- The following color distribution can be made by using the data given in the question:
Color Number of cubes
Yellow x
Blue 3*x = 3x
Green 3x*5 = 15x
======================================
Total 19x
======================================
- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.
p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]
p ( Picks Yellow cube ) = [ x ] / [ 19x ]
p ( Picks Yellow cube ) = 1 / 19 .... Answer
Jules adds a border around his mirror. The mirror is shaped like a triangle. Each side is 35\,\text{cm}35cm35, start text, c, m, end text long. How long is the border?
Answer:
105 m
Step-by-step explanation:
Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.
The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.
Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m
Perimeter of mirror = length of border to add = 105 m
The border is 105 m long.
What is the unit price of a quart of juice for $0.79?
A. $3.16/gallon
B. 3 half-gallons for $5.40
C. $3.16/1b
D. 7 pints for $4.20
Answer:
a
Step-by-step explanation:
there are 4 quarts in a gallon.
4 times $0.79 =$3.16
The length of a rectangular bedroom is 2 feet more than its width. The area of the bedroom is 120 square feet. Find it length and width.
PLEASE HELP!!! ASAP!!
Answer:
Length is 12 feet, and Width is 10 feet
Step-by-step explanation:
You can use an equation to come up with the answer but you are looking for width × (width + 2) = 120.
HELP ME! In a complete sentence, describe the relationship between the three angles in the diagram below. Write and solve an equation to find the value of b and the measures of ∠QPS, ∠SPT, and ∠TPR.
Answer:
b = 17
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Step-by-step explanation:
The sum of the three angles shown is a linear angle, with a measure of 180°.This fact can be used to write an equation:
(8b -12)° +b° +(2b+5)° = 180°
11b -7 = 180
11b = 187
b = 17
8b -12 = 8(17) -12 = 124
2b +5 = 2(17) +5 = 39
The value of b is 17.
The angle measures are ...
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 98% confidence interval estimate of the population standard deviation. 65 62 62 55 62 55 60 59 60 70 61 68
The confidence interval estiamte it __mi/h< o <__mi/h
Answer:
3.0 mi/h < σ < 8.54 mi/h
Step-by-step explanation:
Given:
Sample data: x: 65 62 62 55 62 55 60 59 60 70 61 68
Confidence = c = 98% = 0.98
To find:
Construct a 98% confidence interval estimate of the population standard deviation.
Solution:
Compute Mean:
number of terms in data set = n = 12
Mean = Sum of all terms / number of terms
= 65 + 62 + 62 + 55 + 62 + 55 + 60 + 59 + 60 + 70 + 61 + 68 / 12
= 739/12
Mean = 61.58
Compute standard deviation:
s = √∑(each term of data set - mean)/ sample size - 1
s = √∑([tex]_{x-} {\frac{}{x} }[/tex])²/n-1
= √( 65 - 61.58)² + (62 - 61.58)² + (62 - 61.58)² + (55 - 61.58)² + (62 - 61.58)² + (55 - 61.58)² + (60 - 61.58)² + (59 - 61.58)² + (60 - 61.58)² + (70 - 61.58)² + (61 -61.58)² + (68 - 61.58)² / 12-1
= √(11.6964 + 0.1764 + 0.1764 + 43.2964 + 0.1764 + 43.2964 + 2.4964 + 6.6564 + 2.4964 + 70.8964 + 0.3364 + 41.2164) / 11
= √222.9168/11
= √20.2652
= 4.50168
= 4.5017
s = 4.5017
Compute critical value using chi-square table:
For row:
degree of freedom = n-1 = 12 - 1 = 11
For Column:
(1 - c) / 2 = (1 - 0.98) / 2 = 0.02/2 = 0.01
1 - (1 - c) / 2 = 1 - (1-0.98) / 2 = 1 - 0.02 / 2 = 1 - 0.01 = 0.99
[tex]X^{2} _{1-\alpha/2}[/tex] = 3.053
[tex]X^{2} _{\alpha/2}[/tex] = 24.725
Compute 98% confidence interval of standard deviation:
[tex]\sqrt{\frac{n-1}{X^{2} _{\alpha/2}} } s[/tex] = [tex]\sqrt{\frac{12-1}{24.725} } ( 4.5017)[/tex] = [tex]\sqrt{\frac{11}{24.725} } ( 4.5017)[/tex] = [tex]\sqrt{0.44489}(4.5017)[/tex]
= 0.6670 (4.5017) = 3.0026
[tex]\sqrt{\frac{n-1}{X^{2} _{\alpha/2}} } s[/tex] = 3.0026
[tex]\sqrt{\frac{n-1}{X^{2} _{1-\alpha/2}} } s[/tex] = [tex]\sqrt{\frac{12-1}{3.053} } ( 4.5017)[/tex] = [tex]\sqrt{\frac{11}{3.053} } ( 4.5017)[/tex] = [tex]\sqrt{3.6030} (4.5017)[/tex]
= 1.8982 ( 4.5017) = 8.5449
[tex]\sqrt{\frac{n-1}{X^{2} _{1-\alpha/2}} } s[/tex] = 8.5449
3.0026 mi/h < σ < 8.5449 mi/h
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height of the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is, [tex]h=-8t^2+40t[/tex] , where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :
[tex]\frac{dh}{dt} =0[/tex]
Now the differentiating the equation with respect to time t, we get
[tex]\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)[/tex]
[tex]\frac{dh}{dt}=-16t+40[/tex]
For maximum height, [tex]\frac{dh}{dt} =0[/tex]
So, [tex]-16t+40=0[/tex]
[tex]\Rightarrow 16t=40[/tex]
[tex]\Rightarrow t=\frac{40}{16}[/tex]
[tex]\Rightarrrow t = 2.5[/tex]
Therefore, the ball takes 2.5 seconds time to reach the maximum height.
Quinda begins to solve the equation Negative 4.5 x + 3 = 2 minus 8.5 x by adding 8.5x to each side of the equation. Which next step would result in the variable terms and constant terms being on different sides of the equals sign?
Subtract 4x from both sides.
Subtract 2 from both sides.
Add 4x to both sides.
Subtract 3 from both sides.
Answer:
subtract 3 from both sides
Step-by-step explanation:
Given
- 4.5x + 3 = 2 - 8.5x ( add 8.5x to both sides )
4x + 3 = 2 ( subtract 3 from both sides )
4x = - 1 ( divide both sides by 4 )
x = - [tex]\frac{1}{4}[/tex]
Answer:
subtract 3 from both sides
Step-by-step explanation:
D, the last one
33 divided by -11 equals what?
The three angles of an isosceles triangle are, 2x+2, X-12 and x-12. Find the
size of 2x+2
Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options:
A) Reflection along x-axis; Translation: (x, y) → (x, y – 3)
B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)
C) Reflection along y-axis; Translation: (x, y) → (x, y + 3)
D) Reflection along x-axis; Translation: (x, y) → (x, y)
Answer:
B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are dilatation, rotation, reflection and translation.
The point of triangle ABC are A(-4, 4), B(-7, 1) and C(-3, -2) while for triangle A'B'Ç' is at A'(4, 1), B'(7, -2) and C'(3, -5)
If a point C(x, y) is reflected along y axis, the y coordinates is the same and the x coordinate is opposite (negated), i.e C'(-x, y). If a point C(x, y) is translated 3 units down, the new point is (x, y - 3).
ΔABC transformation to ΔA'B'C', the x coordinate is opposite and the y coordinate is 3 units downward, therefore this is a Reflection along y-axis; Translation: (x, y) → (x, y – 3)
Answer: c
Step-by-step explanation:
The answer is c bc you reflect across the y axis and then translate
Kaori is taking a free-throw. H(d) models the basketball's height (in meters) at a horizontal distance of d meters from Kaori. What does the statement H(R)=4 mean?
Answer:
the basketball's height is 4 meters at a horizontal distance of R from Kaori
Step-by-step explanation:
The function description tells you that the statement H(R)=4 means the basketball's height is 4 meters at a horizontal distance of R from Kaori.
Answer:
At a horizontal distance of R meters from Kaori, the ball's height was equal to 4 meters.
Step-by-step explanation:
A chemist is mixing two solutions, solution A and solution B Solution A is 15% water and solution Bis 20% water. She already has a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?
Answer:
15 mL of the solution with 20% water will be needed.
Step-by-step explanation:
Use the inverse relationship
10 mL * (18-15)% = x mL * (20-18)%
x = 10 mL * (3/2) = 15 mL
Answer: 15mL
Step-by-step explanation:
Create a table. Multiply across and add down. The bottom row (Mixture) creates the equation.
Qty × % = Total
Solution A 10 15% → 0.15 10(0.15) = 1.5
Solution B x 20% → 0.20 x(0.20) = 0.20x
Mixture 10 + x × 18% → 0.18 = 1.5 + 0.20x
(10 + x)(0.18) = 1.5 + 0.20x
1.8 + 0.18x = 1.5 + 0.20x
1.8 = 1.5 + 0.02x
0.3 = 0.02x
15 = x
simultaneous eqations 3x + y = 7 2x + y = 6
Answer:
Hey there!
3x+y=7
2x+y=6
3x+y=7
-2x-y=-6
Add these two equations vertically so the y terms cancel out (this is known as the elimination method)
x=1
3x+y=7
3(1)+y=7
3+y=7
y=4
(x=1, y=4)
Hope this helps :)
In 2007, Joelle spent $5,900 on her health care. If this amount increased by 6 percent per year, what would be the amount Joelle spent in 2017 for the same health care? Hint: Use Exhibit 1-A. (Round FV factor to 3 decimal places and final answer to 2 decimal places.)
Answer:
Joel’s is the 28
Step-by-step explanation:
For the one is me cause Zyou KNOW ULTRA,,,!,,,,,,292
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there? Make a list of all the possible combinations using the numbers 1 - 5 to represent the photos. (I NEED FULL EXPLAINATION)
Answer:
10
Step-by-step explanation:
nCr = 5!/(3! × (5 - 3)!)
= 10
123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345
The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.
Answer: get 2 more frames
Step-by-step explanation:
Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio.
This question is incomplete
Complete Question
Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio. A quadrilateral is broken into a triangle and rectangle. The triangle has a base of 20 feet and a height of 6 feet. The rectangle has a base of 20 feet and a height of 12 feet. How many total stone tiles will Mr. Connor need for the patio?
Answer:
300 tiles
Step-by-step explanation:
From the above question, we know that the patio is a combination of a triangle and a rectangle.
Step 1
Find the area of the shape
a) Area of the Triangle = 1/2 × Base × Height
Base = 20 feet
Height = 6 feet
Area = 1/2 × 20 × 6
Area = 60 square feet
b) Area of the rectangle
= Length × Breadth.
The rectangle has a
Base = Breadth = 20 feet
Height = Length = 12 feet
Area = 20 × 12 = 240 square feet.
Total Area of the patio
= Area of Triangle + Area of square
= 60 square feet + 240 square feet
= 300 square feet
Step 2
We are told that each stone tile = 1 square foot.
Hence, if the total area of the patio = 300 square feet, the number of stone tiles that would be used is
1 square foot = 1 stone tile
300 square feet = 300 stone tiles.
Therefore,the total stone tiles that Mr. Connor will need for the patio is 300 stone tiles.
Answer:
The answer is 300
Step-by-step explanation:
Elevator 1 moved up 15 feet from the ground level. Its position is labeled as +15. Elevator 2 moved down 6 feet from the ground level. Its position is labeled as _____. (Use the hyphen for negative such as -1)
Answer:
-6
Step-by-step explanation:
the position is labeled -6 since it goes down
Answer:
-6
Step-by-step explanation:
Ground level is taken to be zero on this scale, so 6 feet below ground level will be designated as -6.
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
Answer:
The table D represents the function that will have the greatest y-values for very large values of x.
Step-by-step explanation:
The table A represents a linear function, for which each one unit increment in the "x" variable produces a three unit increment in the "y" variable. This means that the growth rate of this function is 3.
The table B also represents a linear function, for which each one unit increment in the x variable produces a 100 unit increment in the y variable. This means that the growth rate of this function is 100.
The table C also represents a linear function, for which each one unit increment in the x variable produces a 10 unit increment in the y variable. This means that the growth rate of this function is 10.
The table D on the other hand does not represent a linear function, since the growth rate is variable and increases for greater values of x. This means that as x grows larger, the growth rate of the function also grows larger, resulting in a much greater y value for very large x values if we compare it to a linear function, like the other options.
Answer:
D
Step-by-step explanation:
BIGBRAIN
Please answer it now in two minutes
Answer:
c = 6√2
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 30°
Opposite = 3√2
Hypothenus = c
The value of 'c' can be obtained by using the sine ratio as shown below:
Sine θ = Opposite /Hypothenus
Sine 30° = 3√2/c
Cross multiply
c × sine 30° = 3√2
Divide both side by sine 30°
c = 3√2 / sine 30°
But: sine 30° = 1/2
c = 3√2 / sine 30°
c = 3√2 ÷ 1/2
c = 3√2 × 2
c = 6√2 yard
Therefore, the value of 'c' is 6√2 yard.
Plz Help. Will give braniest if answered correctly with an explanation!!!
angle HDG = angle HFE
==========================================================
Explanation:
We have the statement [tex]\triangle DHG \cong \triangle FHE[/tex] given to us. Note that "H" is in the middle for both sequences of three letters. For DHG, start at H and move back one space to get to D. Move back another unit to wrap around to G. So the new sequence is HDG which forms the first angle.
Follow the same pattern but for FHE now. Start at H, move backward one spot to F, then move back again to wrap around to E. We have HFE
This shows angle HDG pairs up with angle HFE. The corresponding angles are congruent due to CPCTC
CPCTC = corresponding parts of congruent triangles are congruent
Notice how angles HDG and HFE are alternate interior angles, which lead to showing DG is parallel to EF.
Simplify w1/2 and w1/3
Answer:
They are on their simplified form.
Step-by-step explanation:
Since these numbers are prime numbers we can't simplify them. But we can change them to decimal.
1/2=0.5
1/3=0.3 (in which 3 repeats itself)
Hope this helps ;) ❤❤❤
Find the missing side length of the right triangle shown. Round to the nearest tenth, if
necessary.
Answer:
? = 26 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )
? = [tex]\sqrt{676}[/tex] = 26
Answer:
26 inch
Step-by-step explanation:
unknown side can be found using Pythagorean theorem
a*a+b*b=c*c
24*24+10*10=c*c
576+100=c*c
√676=c
c=26inche
Can anyone help me plz? ∆ADB ≅ ∆CDB by the _____
Answer:
Step-by-step explanation:
it is ASA
by definition if two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA)
32x - 12.8 simplify plz
Answer:
Length = 8x - 3.2
Step-by-step explanation:
Perimeter = 4(Length) [Since it's a square so all the sides are equal]
Given that Perimeter = 32x - 12.8
32x - 12.8 = 4(Length)
Dividing both sides by 4
=> Length = [tex]\frac{4(8x-3.2)}{4}[/tex]
=> Length = 8x - 3.2
Now, Three equivalent expressions to find the perimeter
=> Perimeter = 32x - 12.8
=> Perimeter = 4(8x - 3.2) [Perimeter = 4 (Length)]
=> Perimeter = 2(16x - 6.4)
Answer:
[tex]\boxed{8x-3.2}[/tex]
Step-by-step explanation:
The perimeter is 32x - 12.8 of a square.
Use formula for perimeter of a square.
[tex]P=4a[/tex]
[tex]P=perimeter\\a=side \: length[/tex]
[tex]32x - 12.8=4a[/tex]
Solve for side length.
[tex]\frac{32x - 12.8}{4} =a[/tex]
[tex]8x-3.2=a[/tex]
Three equivalent expressions for perimeter:
32x - 12.8
⇒ 8(4x - 1.6)
⇒ 4(8x - 3.2)
⇒ 2(16x - 6.4)
A circle has a radius of sqrt 37 units and is centered at (1.3, -3.5) write the equation fo the circle
Answer:
(x-1.3)^2 + (y+3.5)^2 = 37
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-1.3)^2 + (y--3.5)^2 = (sqrt(37))^2
(x-1.3)^2 + (y+3.5)^2 = 37
Your sister asks you to pick out one of her CDs to listen to. She has 6 rock, 4 country, and 4 rap CDs. If you pick one at random, what is the probability that you pick a country CD?
Hey there! I'm happy to help!
We have 6 rock, 4 country, and 4 rap CDs. If we add these all together ,we have 14 total CDs.
Since there are 4 country CDs, we have a 4/14 chance of picking one, which simplifies to 2/7 chance.
Have a wonderful day!
Two cars leave an intersection. One car travels north: the other east. When the car traveling north had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled?
Answer:
20 miles
Step-by-step explanation:
Given that :
When the car traveling north 'N' had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east
Let the distance moved by the east bound car be e,
therefore, distance between the cars when the northbound car had traveled a distance of 15 miles = e + 5
Using Pythagoras rule:
(Hypotenus)^2 = (adjacent)^2 + (Opposite)^2
(e+5)^2 = 15^2 + e^2
(e+5)(e+5) = 225 + e^2
e^2 + 5e + 5e + 25 = 225 + e^2
e^2 + 10e + 25 = 225 + e^2
e^2 - e^2 + 10e = 225 - 25
10e = 200
e = 200 / 10
e = 20 miles
Check attached picture for solution diagram
Plz help me urgently ❤️
Answer:
B.
Step-by-step explanation:
We know that
Line FG is 7.0 meters
Angle G is 90 degrees
Angle G is 25 degrees
All of the angles of a triangle add up to 180 degrees
We need to find the angle of F
90+25+f=180
115+f=180
f=65 degrees
Now we have narrowed our answers down to A, B, and D
Next we need to find the measure of line GH
For this we will need to use one of the three, Sin, Cos, Tan.
We will be using Tan because we have our variable adjacent to our angle and our number 7 opposite of our angle.
We are looking for the measure of GH
Tan60=7/x
x=3.3
Find the missing lengths of the sides.