Answer:
y = 2/3.
Step-by-step explanation:
y = constant nunber × x,
6 = constant number × 72,
Constant number is 1/12.
y = 1/12 × 8 = 2/3.
Thus the answer is 2/3.
I was wondering if someone could answer this :)
Answer:
17
Step-by-step explanation:
2a+30 = 4a-4
+4 +4
2a+34 = 4a
-2a -2a
34 = 2a
÷2 ÷2
a=17
Hope this helps! :)
Answer:
A = 17
Step-by-step explanation:
Opposite angles are congruent in a parallelogram
Hence 2a + 30 = 4a - 4
( Note that we've just created an equation that we can use to solve for a)
We now solve for a
2a + 30 = 4a - 4
Add 4 to both sides
2a + 34 = 4a
Subtract 2a from both sides
34 = 2a
Divide both sides by 2
a = 17
given a group of six students consisting of four female and two male how many different three member committee can be chosen from this group probability question
Given:
Total number of students = 6
Number of female students = 4
Number of male students = 2
To find:
Total number of outcomes if 3 students are chosen at random (Should i find the probability of something?)
Steps:
To find the total number of outcomes, we need to list the outcomes
Outcomes = {M,M,F} , {M,F,F} , {F,F,F}
Therefore, the total number of outcomes if 3 students are chosen at random is 3, if we don't consider order.
Could you elaborate the question a bit more if i made a mistake of what to find.
What is the solution to the given system of equations?
Answer:
y=to 4x-3 so therefore
it will be
4x-3=-x-13
4x+x=3-13
5x= -10
x=-2
u subtitute
y=
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. 2x+4y>0−x+5y>0
The graph of the inequality is added as an attachment and a solution is (1, 2)
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
2x + 4y > 0
−x + 5y > 0
The above expression is a system of inequalities where
The inequalities in the system are linear inequalities
Next, we plot the graph
One of the points in the shaded region is (1, 2)
See attachment for the graph of the inequality
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A store manager timed Janette
Answer:
more information please.
Step-by-step explanation:
I need big help on this one
Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
Answer:
156 were there on the fourth day.
Step-by-step explanation:
125% of the number she received on the previous day
This means that the previous day number is multiplied the 125%/100% = 1.25.
64 responses the first day
This means that the number of responses after x days is given by:
[tex]R(x) = 64(1.25)^x[/tex]
How many were there on the fourth day?
This is R(4). So
[tex]R(4) = 64(1.25)^4 = 156[/tex]
156 were there on the fourth day.
Answer:
125
Step-by-step explanation:
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
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The table shows the lengths of picket fence pieces Jude has to make a flower garden
He wants the garden to have 4 sides and a perimeter of 30 feet.
He cannot cut the pieces into smaller lengths.
Fence Length
Number of Pieces
6 feet
feet
2
12 feet
1
Choose all of the possible sizes of gardens that Jude could make.
А.
B.
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a square with a side length of 6 feet
a rectangle with a length of 9 feet and a width
of 6 feet
D.
• LIVE
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a trapezoid with side lengths of 6 feet, 6 feet,
6 feet, and 12 feet
a quadrilateral with side lengths of 6 feet, 9
feet, 9 feet, and 9 feet
E.
LIVE
a triangle with side lengths of 9 feet, 9 feet,
and 12 feet
Answer:
all except for D. he can build A, B, C and E out of the available pieces of fence.
but A violates the overall goal of a circumference of 30ft.
and E violates the overall goal of the garden having 4 sides.
D cannot be built, because it would require 3 pieces of 9 ft (and we have only 2).
Answer: All except for D.
Step-by-step explanation: I would make one, but someone has already made a decent explanation.
Round off 1,296,717 to 3 significant figures
Answer:6 1296720 1.29672 × 106
5 1296700 1.2967 × 106
4 1297000 1.297 × 106
3 1300000 1.30 × 106
2 1300000 1.3 × 106
1 1000000 1 × 106
Step-by-step explanation:
According to the Bureau of the Census, the population of the United States in 1990 was approximately 249 million and in 2000, 281 million. Use this information to predict the population for 2012.
Answer:
The prediction for the population in 2012 will be of 324.9 million.
Step-by-step explanation:
Exponential equation for population growth:
Considering that the population growth varies directly with time, it's value after t years is given by:
[tex]P(t) = P(0)e^{kt}[/tex]
In which P(0) is the initial value and k is the growth rate.
The population of the United States in 1990 was approximately 249 million
This means that [tex]P(0) = 249[/tex], so:
[tex]P(t) = P(0)e^{kt}[/tex]
[tex]P(t) = 249e^{kt}[/tex]
In 2000, 281 million.
2000 - 1990 = 10, so [tex]P(10) = 281[/tex]. We use this to find k.
[tex]P(t) = 249e^{kt}[/tex]
[tex]281 = 249e^{10k}[/tex]
[tex]e^{10k} = \frac{281}{249}[/tex]
[tex]\ln{e^{10k}} = \ln{\frac{281}{249}}[/tex]
[tex]10k = \ln{\frac{281}{249}}[/tex]
[tex]k = \frac{\ln{\frac{281}{249}}}{10}[/tex]
[tex]k = 0.0121[/tex]
So
[tex]P(t) = 249e^{0.0121t}[/tex]
Use this information to predict the population for 2012.
2012 - 1990 = 22, so this is P(22).
[tex]P(22) = 249e^{0.0121*22} = 324.9[/tex]
The prediction for the population in 2012 will be of 324.9 million.
Which expression is equivalent to 4-(-7)
Answer:
4-(-7)=11
-4-7=-11
-4+7=3
-7-4=-11
so neither 3 choices work
hope this helps
have a good day :)
Step-by-step explanation:
Homework Problem I Need help
Answer: 45 degrees
Step-by-step explanation:
We know that :
[tex]\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]
From the figure, We can notice that the side which is opposite to θ is 15 units
⇒ Opposite side = 15
We need to find the Length of Hypotenuse using Pythagorean theorem which is :
⊕ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (Hypotenuse)² = (8)² + (15)²
⇒ (Hypotenuse)² = 64 + 225
⇒ (Hypotenuse)² = 289
⇒ Hypotenuse = Square root of 289
⇒ Hypotenuse = 17
[tex]\sf{\implies sin\theta = \dfrac{15}{17}}[/tex]
A certain type of bacteria is growing at an exponential rate that is modeled by the equation y= ae^kt, where t represents the number of hours. There are 100 bacteria initially, and 500 bacteria five hours later.
Answer:
The number of bacteria after t hours is given by: [tex]y(t) = 100e^{0.3219t}[/tex]
Step-by-step explanation:
Amount of bacteria after t hours:
Is given by the following equation:
[tex]y(t) = ae^{kt}[/tex]
In which a is the initial value and k is the constant of growth.
There are 100 bacteria initially
This means that [tex]a = 100[/tex]. So
[tex]y(t) = ae^{kt}[/tex]
[tex]y(t) = 100e^{kt}[/tex]
500 bacteria five hours later.
This means that [tex]y(5) = 500[/tex]. We use this to find k. So
[tex]y(t) = 100e^{kt}[/tex]
[tex]500 = 100e^{5k}[/tex]
[tex]e^{5k} = 5[/tex]
[tex]\ln{e^{5k}} = \ln{5}[/tex]
[tex]5k = \ln{5}[/tex]
[tex]k = \frac{\ln{5}}{5}[/tex]
[tex]k = 0.3219[/tex]
So
[tex]y(t) = 100e^{kt}[/tex]
[tex]y(t) = 100e^{0.3219t}[/tex]
The number of bacteria after t hours is given by: [tex]y(t) = 100e^{0.3219t}[/tex]
Variables A and B have a linear relationship with a correlation coefficient of 0.35.
Which statement best analyzes the fit?
1. There is a weak positive correlation.
2. There is a strong negative correlation.
3. There is a strong positive correlation.
4. There is a weak negative correlation.
Answer:
1. There is a weak positive correlation.
Step-by-step explanation:
The correlation coefficient shows the relation of points in a data set. It is between 0 and 1 or 0 and -1. If the coefficient is closer to 0 then the correlation is weak. So, since 0.35 is closer to 0 than 1 it must be a weak correlation. Additionally, because it is positive the correlation must also be positive. A positive correlation means that the line of best fit will have a positive slope.
The functions f(x) and g(x) are shown on the graph.
F(x) = x² what is the g(x)?
A g(x)= (x-2)^2
B g(x)= (x+2)^2
C g(x)= 2x^2
D g(x)= (1/2x)^2
There is a compression from the graph of the parent function to have g(x) = (1/2x)^2 or 1/4x^2
Vertical stretch of a functionTransformation is a process of changing the position of an object on the xy-plane
Given the parent function for a quadratic equation given as h(x) = x²
If you look at g(x), you can see that there is a compression from the graph of the parent function to have g(x) = (1/2x)^2 or 1/4x^2
Compression occur for the coefficient of x^2 that is less than 1
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Can you see them ⟟ need help
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Which term below refers to events that all have the same probability of occurring?
A) same chance occurrences
B) equal probability events
C) evenly divided happenings
D) equally likely outcomes
Step-by-step explanation:
the answer for that question is letter D
Step-by-step explanation:
I think it's A.............
Write this ratio as a fraction in simplest form without any units. 20 quarts to 9 gallons
Answer:
20/9
Step-by-step explanation:
20 quarts : 9 gallons
20/9(1 is the HCF of both values)
20/9
In △CDE, DE=14, CE=9, and m∠E=71∘. What is the length of CD⎯⎯⎯⎯⎯⎯? Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
13.96units
Step-by-step explanation:
To get the length of CD, we will use the cosine rule as shown:
CD² = DE²+CE²-2(DE)(CE)cos m<E
Substitute the given values
CD² = 14²+9²-2(14)(9)cos71
CD² = 196 + 81 - 252cos71
CD² =277 - 252cos71
CD² = 277 - 82.0431
CD² = 194.95682
CD = √194.95682
CD = 13.96 units
Hence the length of CD of 13.96units
In the figure below, which term best describes point V?
A. Centroid
B. Incenter
C. Orthocenter
D. Circumcenter
The term that best describes the point V is (d) the centroid.
What is centroid?The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.
here, we have,
to determine the point V:
From the figure, we can see that:
The three lines drawn from point V divide the sides of the triangles into equal segments.
Also, the lines from point V are perpendicular to the sides.
The above description represents the definition of a centroid
Hence, the term that best describes the point V is (d) the centroid
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Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.
forth term in a sequence =9
domain=set of all natural number
(4,9) lies in a graph
Answer:
Solution given:
–3, 5, –7, 9, –11, …are in a sequence
domain=set of all natural number.
forth term in a sequence =9
(4,9) lies in a graph.
and
f(5)=2
f(4)=9
Hence
(4,9) lies of graphThe domain is set of inetegers Z .as -3 is not N set member .
4th term of the sequence is 9The sequence has infinite terms
B and D are correct
A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangle section is 8 feet shorter than twice the shortest side. The third side is 2 feet longer than the shortest side. The perimeter is 58 feet. How long is each side?
Step-by-step explanation:
=>>. Hello mate. (◕ᴗ◕✿)
= Given :-
perimeter of traingle = 58 feet
let the third side be. "X" feet longest side = (2x - 8) feet shorter side = (x + 2) feetPerimeter of traingle = sum of all three sides
=> A/q. ,
( x ) + ( 2x - 8 ) + ( x + 2) = 58. ✓✓✓
x + 2x - 8 + x + 2 = 58
=>. 4x - 6 = 58
=> 4x = 58 + 6
=> 4x = 64
=>. x = 64/4
=|. x = 16 feet
length of third side = 16 feet length of shorter side = 18 feet length of longest side = 24 feet
Hope it helps you.......
I would appreciate if someone could help me with this i will give a brainlist
Answer:
X=0
Y= -2
Step-by-step explanation:
Y+2=x
Y+10=2x+8
Y+2=x
Y+10=2(y+2)+8
Y+10=2y+12
Y-2y=-10+12
Y=-2
In how many ways can a designer chose from 3 summer dresses,2 purses, a hat, 3 scarfs, 2 belts if she chooses one of each?
Answer:
I'm pretty sure it's 32
Step-by-step explanation:
hope this helpsb
can i get help please ?
Answer:
D -- the last one
Step-by-step explanation:
The formula tells you what to do.
t = 3
A0 = 25
A(t) = ?
A(3) = 25 * (1/2)^3
A(t) = 25 * 1/8
A(t) = 25/8
A(t) = 3.125
On the number line -32/5 lies between
Answer:
-6 and -7
Step-by-step explanation:
Given
-32/5
it can be write :
[tex]\frac{-32}{5} =-6.4[/tex]
Therefore, can see on graph -6.4 lies on number line between -6 and -7
find the next term sequence 1,7,13,19....
Answer:
25,31,37
Step-by-step explanation:
HELP NEEDED!! I don’t understand
Answer:
Slope = - 2.5
Step-by-step explanation:
A right angled triangle is drawn to meet the best fit line at any point on the graph,, the point at which the triangle meets the best fit line, provides the values for the rise and run used to calculate the slope, the ris ubsyge cgbage in y values and run is the change in x values ;
Rise, y2 = - 1 ; y2 = 4
Run ; x2 = 3 ; x1 = 1
Rise = y2 - y1 = - 1 - 4 = - 5
Run = x2 - x1 = 3 - 1 = 2
Slope = Rise / Run = - 5 / 2 = - 2.5
Logan bought stocks and later sold them for $3,437,500, making a profit of 25%. How much did he pay for the stocks?
Answer:
Logan bought the stocks at $2,750,000
Step-by-step explanation:
So according to the question $3,437,500 is the amount at which 25% interest was made
This means that the original value(100% value) has been increased to 125%(thus 100+25%)
By using ratio and proportion,
If 125%-$3437500
then 100% ={100%/125%}×$3,437,50
=$2,750,000
