Answer:
-17-40+25
=25-57
= -32
Factor this expression?
3x²-12x
A. 3x(x²2-4)
B. 3x(x-4)
C. 3(x²-4)
D. 3(x-4)
Answer:
\( \frac{3}{18} \times \frac{360}{1} \)
Answer:
The answer should be B or 3x(x-4)
Step-by-step explanation:
Hope this helped :)
If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
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Tell whether the following ratios shows proportion or not. Write
your answer on the space provided before each number.
_________ 1. 2:10 = 1:5
_________ 2. 3:6 = 6:3
_________ 3. 5:15 = 1:3
_________ 4. 12:4 = 6:2
_________ 5. 5:15 = 1:3
Answer:
1. Proportion
2. Not Proportion
3. Proportion
4. Proportion
5. Proportion
Step-by-step explanation:
Hope it helps you :))))))
Have a good day
Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?
Answer:
En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.
Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:
y = a * (2)^x
Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.
Después de 30 minutos, la cantidad de microbios en el recipiente es:
2^30 = 1,073,741,824
Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.
Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:
2 * (2)^x = 1,073,741,824
Dividiendo ambos lados por 2, se tiene:
(2)^x = 536,870,912
Tomando logaritmos base 2 en ambos lados, se tiene:
x = log2(536,870,912) = 29
Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.
Step-by-step explanation:
Is it possible for a line to have a constant rate and not be proportional?
Explanation:
Any linear equation in the form y = mx+b has a constant rate of change, and that rate of change is the slope m. If b = 0, then it turns into y = mx. Here m is the constant of proportionality. Direct proportion equations always go through the origin. If b is nonzero, then y = mx+b will not be proportional.
So for example, y = 2x is proportional while y = 2x+1 is not proportional.
The volume of the right cone below is 2767 units³. Find the value of x.
The value of x is approximately 49.4 units.
What is volume ?
Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.
Let's start by defining some variables:
r: radius of the cone
h: height of the cone
V: volume of the cone
A right cone has a circular base, and its volume can be calculated as follows:
V = (1/3) * π * r² * h
If the diameter of the base is 12 units, then the radius is half of that:
r = 6 units
We also know that the volume is 2767 units³, so we can write:
2767 = (1/3) * π * 6² * h
Simplifying:
h = (2767 * 3) / (π * 6²)
h ≈ 49.15 units
Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:
x² = r² + h²
Substituting the values we have:
x² = 6² + 49.15²
x ≈ 49.4 units
Therefore, the value of x is approximately 49.4 units.
In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.
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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12
A square has a side length of 7 cm. A rectangle has a length of y/8-3cm and a width of 4 cm. The square has the same perimeter as the rectangle. Work out the value of y.
if the square has the same perimeter as the rectangle then the value of y is 92.
How to find the value of y?The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.
The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.
Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.
28cm = y/4+5cm
You can solve for y by isolating it on one side of the equation.
years/4+5 = 28
y/4 = 23
y=92
So the value of y is 92.
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can anyone answer this please
ate Fatuma Michele Simplify the expression below and identify the property used when eliminating the parentheses. 49 + 18 + 4 (29 + 9.5) 9+ The property was used to eliminate the parentheses. distributive commutative
Simplify the expression
\(\begin{gathered} 4q+18+4(2q+9.5)=4q+18+4\cdot2q+4\cdot9.5 \\ =4q+18+8q+38 \\ =12q+56 \end{gathered}\)The distributive property is used to simplify the expression 4(2q + 9.5).
Answers:
12q + 56
Distributive property.
question- pls help me find the answer to this question
Answer:
(a) 6cm
Step-by-step explanation:
Hope you have good grades and study well...btw make me as brainliest ty sweetie!
The amounts of money Brittany earned each week from babysitting for 5 weeks are $12, $62, $70, $54, and $62. The mean amount earned is $52 and the median amount earned is $62. Identify the outlier and describe how the mean and median are affected by it.
Answer:
The outlier is $12, results in a decrease in the mean. Outliers have little influence on the median.
If you actually calculate and try and find an outlier, this dataset doesn't have one. But I'm going to assume they're just looking for an extreme number in the set since it clearly says to identify it
The requried outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The outlier in this data set is the first observation of $12, which is significantly lower than the rest of the values.
The mean is calculated by adding all the values and dividing by the number of values. In this case, the mean is:
$12 + $62 + $70 + $54 + $62 = $260
$260 ÷ 5 = $52
When the outlier of $12 is included in the calculation, it significantly lowers the mean.
The median is the middle value when the data set is arranged in order from least to greatest. In this case, the median is $62, which is not affected by the outlier of $12.
Therefore, the outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.
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Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
What is the constant in the expression 3x−7+6y ?
6
3
−7
I don't know.
Answer:
- 7 because it is not a variable, it is a sure value number.
PLEASE MARK ME BRAINLIEST.The constant in the expression 3x − 7 + 6y will be negative 7. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
3x − 7 + 6y
The constant in the expression 3x − 7 + 6y will be negative 7. Then the correct option is C.
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Divide. give the answer, a written decimal .
Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
.
A parallelogram is a quadrilateral with four sides and the opposite sides of the parallelogram are equal and parallel.
How to show the proof?In the given figure, AB||DC. AD is the transversal, such that:
∠A + ∠D = 180-degrees.
The parallelogram is a quadrilateral with equal such that the interior angles present on the same side of the transversal are supplementary. The sum of supplementary angles is equal to 180-degrees.
From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.
From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.
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1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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Identify all the functions that have a greater rate of change and the function represented in the graph
A y= 2x+7
B y=1.5x+ 1
C y=0.5x-5
D y=2.5x-20
E y=3x+12
F y=x +7
The equation with the greater rate of change is y = 3x + 12, which has a rate of change of 3.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Given the equations, the equation with the greater rate of change is y = 3x + 12, which has a rate of change of 3.
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1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the
parallel sides is 8 meters. What is the area of the lot?
Answer:
160 m²
Step-by-step explanation:
Given :
A parallelogram shaped lot :
Base of lot = 20 m
Distance between parallel sides, = height of lot = 8 m
The area of the lot can be obtained using the area formula of a parallelogram :
Area = base * height
Area = 20 m * 8 m
Area = 160 m²
What is 3/8 divided by 1 1/4 in its simplest form
9514 1404 393
Answer:
3/10
Step-by-step explanation:
(3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10
Q) (3/8) ÷ (1 1/4) = ?
→ (3/8) ÷ (1 1/4)
→ (3/8) ÷ (5/4)
→ (3/8) ÷ (10/8)
→ (3/8) × (8/10)
→ 3/10 {final answer}
pls give simple working out
x is 146 degrees
This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees
180 - 34 = 146
Answer: x = 146°
Step-by-step explanation:
Given that y = 35°, Using linear pair
x+y = 180
x+35=180(Substitute value of y)
x=180-35(Transposition Method)
x=145°
IS THIS RIGHT? (28 points easy!!)
Step-by-step explanation:
yes, the step is correct.
a² = cx | multiply by c
ca² = c²x
I am just not sure how that simplified the equation.
what do you want to achieve ? what's the goal here ?
to solve the equation for x it would be to divide both sides by c, which gives
a²/c = x
I’m confused on this question
Answer:
63
Step-by-step explanation:
A triangle always has a total of 180 degrees
Since we know two we can solve for x
76+41+x=180
x=63
Answer:
63
Step-by-step explanation:
Basically there is 180 degrees in every triangle. So all you do is
180-76=104
104-41= 63
so your answer is 63 degrees.
Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.
In a plane, if a line is _____ to one of two parallel lines, then it is perpendicular to the other.
skew
perpendicular
parallel
intersecting
The answer is perpendicular
If 20% of a number is 72 and 50% of the same number is 180, find 30% of that number.
Answer:
.20x = 72, so x = 360
.30(360) = 108
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
Complete the equation of the line through (3, -8) and (6, -4).
Use exact numbers.
y =
What is the volume of the rectangular prims ?
They are all different sizes.
The following radical equation has a solution set {x = ?} and an extraneous root x = ?.
Answer:
x=2; the extraneous root x=42.
All the details are in the attached picture, the answer is marked with red colour.
The solution set is {2, 42} & the extraneous root is 42
What is extraneous root ?
If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.
What are the roots ?Given equation is,
\(2+\sqrt{2x-3}=\sqrt{x+7}\)
Squaring both sides we get,
\(2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}\)
⇒ \(4+4\sqrt{2x-3} +2x-3=x+7\\\)
⇒ \(4\sqrt{2x-3} =6-x\)
Again, squaring both sides we get,
⇒ \((4\sqrt{2x-3}) ^{2} =(6-x)^{2}\)
⇒ \(16(2x-3)=6^{2} -12x+x^{2}\)
⇒ \(32x-48=36-12x+x^{2}\)
⇒ \(x^{2} -44x+84=0\)
⇒ \(x^{2} -42x-2x+84=0\)
⇒ \((x-42)(x-2)=0\)
So, x = 2 & 42
Here extraneous root is 42.
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A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!