Answer:
please check the image for the answer
Select the correct answer. Time (weeks) Lake Depth (feet) 0 346.0 2 344.8 5 343.0 7 341.8 10 340.0 12 338.8 An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth. Which equation represents the depth of the lake, y, based on the number of weeks passed, x? A. y = -0.6x + 346 B. y = -1.2x + 346 C. y = -0.6x D. y = -1.2x
Answer:
ur equation is : y = - 0.6x + 346 my sister help someone with this same answer but if its wrong sorry
Step-by-step explanation:
Simplify the expression....
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
5. Find CD.
9x-15=7x-1
I really need help with this one.
Answer:
CD = 48
Step-by-step explanation:
Find the value of x using the two equations
9x - 15 = 7x - 1
9(7) - 15 = 7(7) - 1
63 - 15 = 49 - 1
48 = 48
Answer: x = 7
Then get the result of both equations
CD = 48
The length of CD is 48 units.
What is Isosceles Triangle?Isosceles triangles are those triangles which has the length of two sides or angles are equal to each other.
Given triangle ABC is an isosceles triangle since the length of sides AB and BC are given to be equal.
BD is the altitude of the triangle from the vertex B.
We know that, altitude of an isosceles triangle from the non equal angle bisect the opposite side, which is base.
So, AC is bisected at D.
AD = CD
9x - 15 = 7x - 1
Solving,
9x - 7x = -1 + 15
2x = 14
x = 7
Length of CD = 7x - 1 = 49 - 1 = 48
Hence 48 units is the length of CD.
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Triangle C is dilated to triangle D. It is reduced by a scale factor of __________________ ?
Please help its geometry
The triangle C is reduced by a scale factor of 0.36 to form triangle D.
Given,
There are two triangles are C and D.
All sides of C are 35 in, 25 in, 45 in and all sides of D are 7 in, 9 in,5 in.
To find the scale factor by which triangle C is dilated or reduced to form triangle D, we need to compare the corresponding sides of both triangles.
The corresponding sides of triangle C and D are:
35 in : 7 in (longest sides of each triangle)
25 in : 9 in
45 in : 5 in
To find the scale factor, we can choose any pair of corresponding sides and divide the length of the side in triangle D by the length of the corresponding side in triangle C.
Let's choose the second pair of corresponding sides, which are 25 in and 9 in.
scale factor = length of corresponding side in triangle D / length of corresponding side in triangle C
scale factor = \( \frac{9 \: in}{25 \: in} \)
scale factor = 0.36
Therefore, triangle C is reduced by a scale factor of 0.36 to form triangle D.
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a Qasim is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Qasim's test score (out of 20) if he got 4 questions wrong? What would be his score if he got x questions wrong?
Answer:
16/20, (20-x)/20
Step-by-step explanation:
Qasim got 4 wrong, so 4 points off. 20-4, is 16, meaning that he got a score of 16/20 (80%).
If he got x questions wrong, since each question is worth 1 point, he would get 20-x points, which is a score of (20-x)/20.
The test score for Qasim will be 80% for answering 16 questions right.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Qasim is taking a multiple-choice test with a total of 20 points available. Each question is worth exactly 1 point.
The test score will be calculated as,
Test score = [ ( Total questions - wrong answers ) / Total questions] x 100
Test score = [ ( 20 - 4 ) / 20 ] x 100
Test score = 0.80 x 100
Test score = 80%
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Is 33/3 a natural,whole,integer,rational
Answer:
Rational number . . . . . .
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
Answer:
Y=2
Step-by-step explanation:
Answer:
y=2
Step-by-step explanation:
6y - 2y - 2 = 3y - 6 + 6
4y - 2 =3y
4y - 3y +2
y=2
A shipment of sugar fills
4/9 containers. If each container holds 2 2/5
tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
For this problem, multiply these fractions.
First, make each one an improper fraction: 2 4/5 is the same as 14/5 and 2 3/7 is the same as 17/7.
Now, 14/5 times 17/7 yields 238/35 which reduces to 34/5. This may be expressed also as the mixed fraction 6 4/5.
So, the shipment contains 6 4/5 tons of sugar. (This is also equal to 13,600 pounds of sugar.)
The total cost of buying apples from a farm stand is shown in the table.
What is the cost per pound of apples?
A $1.50 per Sound
B. $2.00 per pound
C. $2.50 per pound
D. $3.00 per pound
Answer:
$1.50 per pound
Step-by-step explanation:
got same question and got it right.
The cost per pound of apples is given as $1.50 per pound.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
From the table,
Let the cost of the apples is directly proportional to the pound of x apples,
y = kx
Where k represents the cost of each pound of apply,
From the table consider an ordered pair,
x = 2, y = 3
Now,
3 = 2k
k = 3 / 2
k = 1.5
Thus, the cost per pound of apples is given as $1.50 per pound.
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/.,/.ç/.,/.,/.,/.,,/,/.,/.,/.,/.,/.,/.,/.,/./.,/.
the sum of all the angles in a triangle is 180°
65°+20°+x = 180°
85°+x = 180°
x = 95°
hope it helps...!!!
PLS HELP ILL GIVE BRAINLY
Do the graphs below represent a function? Explain.
Answer:
no
Step-by-step explanation:
i just know
Which graph could be used to find the distance between the points (−13, −3) and (9, 11)?
A graph which could be used to find the distance between the points (−13, −3) and (9, 11) include the following: A. graph A.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given points into the distance formula, we have the following;
Distance = √[(9 + 13)² + (11 + 3)²]
Distance = √[(21)² + (14)²]
Distance = √[441 + 196]
Distance = √637 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
V
What is the distance between (2, 6) and (7, 6)?
9
7.6)
2
LP
6
X
2
6
2 units
5 units
7 units
Answer:
The answer to the question provided is 5 units.
Is 0.5ab a positive number.
Answer: Yes.
Step-by-step explanation:
Answer: Yes, it is positive
Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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Using the data from the stem-and-leaf as given below, construct a cumulative percentage distribution with the first class uses "9.0 but less than 10.0" 911, 4,7 1010, 2, 2, 3, 8 11/1, 3, 5, 5, 6, 6,7,
Here is how to construct a cumulative percentage distribution with the given stem-and-leaf data: First, you will need to group the data into classes.
Using the given stem-and-leaf data, the classes can be as follows: 9.0 but less than 10.0: 4, 7, 9110.0 but less than 11.0: 2, 2, 3, 8, 1011.0 but less than 12.0: 1, 3, 5, 5, 6, 6, 7. Next, calculate the cumulative frequencies for each class. The cumulative frequency for a class is the sum of the frequencies for that class and all previous classes.
In this case, the cumulative frequencies are:9.0 but less than 10.0: 4 + 7 + 9 = 2010.0 but less than 11.0: 2 + 2 + 3 + 8 + 10 = 2511.0 but less than 12.0: 1 + 3 + 5 + 5 + 6 + 6 + 7 = 33
Finally, calculate the cumulative percentage for each class. The cumulative percentage for a class is the cumulative frequency for that class divided by the total number of data points, multiplied by 100%.
In this case, the total number of data points is 20 + 5 + 7 = 32.
So, the cumulative percentages are:9.0 but less than 10.0: (20/32) x 100% = 62.5%
10.0 but less than 11.0: (25/32) x 100% = 78.125%1
1.0 but less than 12.0: (33/32) x 100% = 100%
Note that the last cumulative percentage is greater than 100% because it includes all of the data.
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pleaseeeeeeeeeeeeeee help whats da volume
Answer:
if you want the volume of the outer cube with the other cube in it, it would be 48. if you want it without the cube its 120. the inside cube is 72.
Step-by-step explanation:
Answer:
48 mm³
Step-by-step explanation:
Outer prism:
5 mm by 4 mm by 6 mm
V = LWH = 5 × 4 × 6 mm³ = 120 mm³
Inner prism:
4 mm by 3 mm by 6 mm
V = LWH = 4 × 3 × 6 mm³ = 72 mm³
Difference:
120 mm³ - 72 mm³ = 48 mm³
The length of each side of equilateral triangle T is 6 times the length of each side of equilateral triangle X.
Quantity A The ratio of the length of one side of T to
the length of another side of
Quantity B The ratio of the length of one side of X to
the length of another side of X
•A. Quantity A is greater.
• B. Quantity B is greater.
C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.
C. The two quantities are equal. We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.
Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:
To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.
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please help like waaa everywhere it comes up that its impossible
Answer:
Step-by-step explanation:
If we subtract 7 from both sides, we get -2 on the right. This is not possible, since absolute values are always 0 or greater.
the sum of a certain infinite geometric series is $2$. the sum of the squares of all the terms is $3$. find the common ratio.
The common ration between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is ( r,a) = ( 1/7, 12/7)
That means { a/ 1-r} = 2
a^2/1-r^2 = 3
2a/ 1+r = 3
2(2-2r)/ 1+r = 3
4-4r= 3+ 3r
7r + 1
r= 1/7
2a/ 8/7 = 3
7a= 12
a= 12/7
so( r,a) = ( 1/7, 12/7)
What is infinite geometric series?
An infinite geometric series is the sum of an infinite geometric sequence. This series would have no last term. The general form of the infinite geometric series is a1 + a1r + a1r2 + a1r3+…, where a1 is the first term and r is the common ratio.
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Complete the ratio 4:? = 1:15
Answer:
The answer is 60
Step-by-step explanation:
Solution:
Complete the ratio
\( \frac{4}{?} = \frac{1}{15} \\ \)
?= 15×4?=60Hope you understand
Susan made 32 cookies. If 3/8 of the cookies
burnt in the oven, how many cookies were not
burnt?
Answer: 20
Step-by-step explanation:
32 divided by 8 = 4
4 x 3 = 12
32 - 12 = 20
This was how I learned to multiply fractions with my teacher so sorry if you don't understand :/
I Hope This Helps!
The total number of cookies that were not burnt are; 20
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Susan made 32 cookies. If 3/8 of the cookies
burnt in the oven, then we need to find the cookies that were not burnt.
Therefore we have to multiply the 32 cookies by 3/8 of the cookies
burnt in the oven.
Thus,
32 x 3/8 =4 x 3
= 12
Now the cookies that were not burnt are;
32 - 12 = 20
Hence, the total number of cookies that were not burnt are; 20
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JGR-MST. Which statement is not always true? someone pls helpp
Answer:
It is D, I think it’s because the letters need to be around in the same order
The angle corresponding to each other of different triangle are equal.
What are similar triangle ?"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".
Here given,
\(\triangle JGR\) is similar to triangle \(\triangle MST\)
So, from the definition of similar triangle ,
angle J ≅ angle M
angle G ≅ angle S
angle R ≅ angle T
Hence, option D is correct.
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a rancher wants to fence in a rectangular area of 12000 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. what is the smallest length of fencing that will be required to do this?
The smallest length of fencing required to enclose the rectangular area of 12000 square feet and divide it in half with a fence down the middle parallel to one side is\($380\sqrt{2}$\) feet.
Let the length of the rectangular area be \($l$\) and the width be \($w$\). Then, we have the equation:
\($lw = 12000$\)
We want to divide the region in half with a fence down the middle parallel to one side, so we will need two equal rectangular sections with area:
\($(l/2)w = 6000$\)
The total length of fencing required will be the perimeter of the rectangular region, plus the length of the fence down the middle. Therefore, we have:
\($\text{Total length of fencing} = 2l + 2w + l = 3l + 2w$\)
Substituting\($w = 12000/l$\), we get:
\($\text{Total length of fencing} = 3l + 24000/l$\)
To find the - of fencing required, we can take the derivative of this expression with respect to \($l$\), set it equal to zero, and solve for \(l$:\)
\($\frac{d}{dl} (3l + 24000/l) = 3 - \frac{24000}{l^2} = 0$\)
Solving for \($l$\), we get:
\(l = \sqrt{8000} = 40\sqrt{2}$ feet\)
Substituting this value of \($l$\) back into the expression for the total length of fencing, we get:
\($\text{Total length of fencing} = 3(40\sqrt{2}) + 2(12000/40\sqrt{2}) = 80\sqrt{2} + 300\sqrt{2} = 380\sqrt{2}$ feet.\)
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5.
The height of a cylinder is 6 Inches. The radius of the base is 8 inches.
Which expression can be used to approximate the volume of the cylinder?
A
2 x 8 x 3.14 6
B
4x3.146
с 82 3.146
D 42 x 3.146
the volume of cylinder is 3.14 r^2×h
Answer: c
Step-by-step explanation:
Rewrite the addition problem using the GCF and the Distributive Property (Angry Birds). 25 + 100
Answer:
25(1) + 25(4)
Step-by-step explanation:
25 is the greatest common factor of both 25 and 100.
If you distribute it out, 25 x 1 = 25 and 25 x 4 = 100
What are the Domain and Range of this graph in set notation?
Answer:
Ok:
Step-by-step explanation:
Domain: {x| x ϵ ℝ}
Range: {y| y ≤ 3}
ϵ - means 'belongs to the set of'
and ℝ means 'all real numbers'
What it mens is that x is defined at every x value.
The following excerpt comes from the international bottled water association:
"in 2012, total u.s. bottled water consumption increased to 9.67 billion gallons, up from 9.1 billion gallons in 2011. in fact, 2012's consumption growth was the strongest it has been in five years. in addition, per-capita consumption is up 5.3 percent in 2012, with every person in america drinking an average of 30.8 gallons of bottled water last year. bottled water increased in absolute volume more than any other beverage category in the u.s. bottled water sales increased by 6.7 percent in 2012, and now total $11.8 billion."
(i) quantify the bottled water consumption increase from 2011 to 2012 in terms of relative change. (express your answer as a percent rounded correctly to the nearest tenth of a percent.)
%
(ii) if bottled water sales are up by 6.7% in 2012 to a total of $11.8 billion, what were the sales in 2011? (express your answer in billions of dollars rounded correctly to the nearest tenth.)
$
11.1
billion
(iii) estimate the per capita consumption from 2011 from data in the statement. (express your answer rounded correctly to the nearest tenth of a gallon.)
gallons
Using proportions, the estimate of the per capita consumption from 2011 was 29.25 gallons.
What is a proportion?A proportion is a fraction of the total amount, the measures are related using a rule of three.
The amount in 2012 was an increase of 5.3% from 2011,
105.3% = 1.053 of x,
The consumption per capita was 30.8 gallons,
hence:
1.053x = 30.8
x = 30.8/1.053
x = 29.25 gallons.
(ii) The sales in 2011
= 9.1 billion gallons in 2011.
(iii) The per capita consumption from 2011
= 9.1 / 11.8
= 0.77 billion
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Rob has budgeted $77 per month for his phone bill. Line access for calls and SMS texts costs $50, and each GB of data is an additional cost. After paying for access, he has enough money left for exactly 6 GB. He decides he wants to download 2 apps, and the apps cost $4.75 each. Rob also buys a ringtone that costs $2.50. How much more money, in dollars, does he need to pay for 4 GB?
Answer:
speed=distance/time
so..
8=distance/15.
120km= distance
Step-by-step explanation:
I believe you just preferred the answer but not how i got it..But even so. Wish you luck.
show that the following number is rational by writing it as a ratio of two integers. 52.470817081708
Answer: To show that the number 52.470817081708 is rational, we need to express it as a ratio of two integers.
Let x = 52.470817081708. We can write x as a sum of its integer part and fractional part:
x = 52 + 0.470817081708
To convert the fractional part to a fraction, we can multiply both numerator and denominator by a power of 10 that will eliminate the decimal point. In this case, we can multiply by 10^12:
0.470817081708 = 470817081708 / 10^12
Therefore, we can write:
x = 52 + 470817081708 / 10^12
We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor:
x = 52 + 163717 / 3125000
So we have expressed x as a ratio of two integers, 163717 and 3125000. Therefore, 52.470817081708 is a rational number.
The number 52.470817081708 is rational because it can be expressed as a ratio of two integers: 52470817081708
To show that 52.470817081708 is rational, we need to write it as a ratio of two integers.
First, we can see that the number has a repeating pattern of digits after the decimal point, which tells us that it can be expressed as a fraction. To do this, we'll count the number of decimal places in the repeating pattern, which is 12 in this case.
Next, we'll use the following formula to convert the repeating decimal to a fraction:
x = a + b/(10^n - 1)
Where:
- x is the repeating decimal
- a is the non-repeating part of the decimal (in this case, it's just the whole number 52)
- b is the repeating part of the decimal (in this case, it's the digits 470817081708)
- n is the number of digits in the repeating pattern (in this case, it's 12)
So plugging in our values, we get:
52.470817081708 = 52 + 470817081708/(10^12 - 1)
Simplifying the denominator, we get:
52.470817081708 = 52 + 470817081708/999999999999
To write this as a ratio of two integers, we'll simplify the fraction:
52.470817081708 = 52 + 235408540854/499999999999
So the number 52.470817081708 can be written as the fraction 52 + 235408540854/499999999999, which is a ratio of two integers. Therefore, we have shown that 52.470817081708 is rational.
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