Answer:
34
Step-by-step explanation:
-2(x - 14) = -40 Distribute the -2
-2x + 28 = -40 Subtract 28 from both sides
-2x = -68 Divide both sides by -2
x = 34
Check:
34- 14 = 20
-2(20) = -40
Question 3
What condition is necessary for AE and BF to be equal? In this situation, what is the relationship between AB and CD? What can you conclude
about parallel lines with regard to the distance between them? Use the word perpendicular in your answer.
Answer:
In order for line AE to equal line BF, m/DFB and m/CEA must both be 90°. When this occurs, line AB does not intersect line EF: the two lines are parallel. line AE and line BF represent the perpendicular distances between line AB and line CD. When the two lines are parallel, the perpendicular distance between them is the same throughout their length.
Step-by-step explanation:
Plato Sample Question
When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
In order for line AE to equal line BF, Angle DFB and Angle CEA must both be 90°.
When this occurs, line AB does not intersect line EF then the two lines are parallel.
Thus the line AE and line BF represent the perpendicular distances between line AB and line CD.
When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.
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tyrone likes to snack on his big bag of candy. he takes 888 pieces of candy from the bag each time he snacks. after he has snacked 181818 times, there are only 666 pieces of candy remaining in the bag. the number ccc of pieces of candy remaining in the bag is a function of sss, the number of snacks tyrone eats. write the function's formula. c
By applying algebra, it can be concluded that the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.
Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems
Now we apply algebra to solve the problem:
Tyrone takes 8 pieces of candy each time snacking
After snacking 18 times, 6 pieces of candy remained in the bag
So the totals candies eaten = 8 * 18
= 144 candies
Number of candies in the bag = candies eaten + remaining candies
= 144 + 6
= 150 candies
If s denotes the number of snacking, then the total number of candies eaten on s snacking = 8s
if c denotes the number of remaining candies, then:
c = total candies - candies eaten
c = 150 - 8s
Thus the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.
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i need this answered pls ASAP
Answer:
Your answer should be 8
Step-by-step explanation:
because 2^3 is also 2x2x2 and that equals 8
Given the following proposition:
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]
Given that A and B are true and X and Y are false, determine the truth value of Proposition 2A.
a.
True.
b.
False.
Therefore, the truth value of Proposition 2A is False.
To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:
A = True
B = True
X = False
Y = False
Now let's evaluate the truth value of each component of the proposition:
(X ⊃ A) • (B ⊃ ∼ Y):
(False ⊃ True) • (True ⊃ ∼ False)
(True ⊃ True) • (True ⊃ True)
True • True
True
(B ∨ Y) • (A ⊃ X):
(True ∨ False) • (True ⊃ False)
True • False
False
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:
True ⊃ False
False
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Distribute: -1/2(10b + 18)
please i need this before 8:00pm
Answer:
-5b - 9
Step-by-step explanation:
-1/2 (10b) = -5b
-1/2 (18) = -9
I WILL MARK THE BRAINIEST!!
What is the first step in the indirect proof?
a. Given: There are 12 dogs and cats at a veterinarian's office. There are more dogs than cats. Prove There are at least 7 dogs .
b.Given an integer n
Prove: n is odd
A.Assume that there are more than 7 dogs. b. Assume that n is odd
B. a. Assume that there are fewer than 12 dogs. b. Assume that n is even
C. a. Assume that there are fewer than 7 dogs. b. Assume that is even
D. a. Assume that there are more than 12 dogs. b. Assume that n is odd
Answer:
Step-by-step explanation:
One
If there are 12 dogs and cats in the vet's office, then if they were the same, there would be 6 dogs and 6 cats. Since there are are more dogs than cats, the number of dogs would have to be at least 7 to get more cats than dogs. If there were 7 dogs, there could only be 5 cats so that the total would be 12.
Two
The question is becoming more general. The answer is C. Notice that's exactly what happened in part one.
imagine you have a dataset at the individual level that reports how much tv an individual watches per week. you want to combine this with a dataset (also at the individual level) that reports how much each individual sleeps per week. what command in stata would be the most useful
The command in Stata would be the most useful is reg when you want to combine this with a dataset that reports how much each individual sleeps per week.
A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.
For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.
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Question 15 of 44
Which of the following arcs are congruent in the circle below
Find the exact value of the expressions (a) sec
sin−1 12
13
and (b) tan
sin−1 12
13
On solving this trigonometry, we find that (a) sec(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{13}{5}\) and (b) tan(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{12}{5}\)
(a) To find the exact value of sec(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that sec(x) = \(\frac{1}{cos}\)(x). Let's draw a right triangle with opposite side 12 and hypotenuse 13. Using the Pythagorean theorem, we can find the adjacent side:
a² + b² = c²
a² + 12² = 13²
a² = 169 - 144
a = √25
a = 5
So our triangle has sides of length 5, 12, and 13. Now we can find cos(sin⁻¹ \(\frac{12}{13}\)) by looking at the adjacent/hypotenuse ratio in this triangle:
cos(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{5}{13}\)
Therefore, sec(sin⁻¹(12/13)) = 1/cos(sin⁻¹ \(\frac{12}{13}\))
= 1/\(\frac{5}{13}\)
= \(\frac{13}{5}\).
So the exact value of sec(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{13}{5}\).
(b) To find the exact value of tan(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that tan(x) = sin(x)/cos(x). Let's use the same right triangle as before.
Then sin(sin⁻¹ \(\frac{12}{13}\))= \(\frac{12}{13}\) and cos \(\frac{12}{13}\)) = \(\frac{5}{13}\) , so
tan(sin⁻¹ \(\frac{12}{13}\)) = sin(sin⁻¹ \(\frac{12}{13}\))/cos(sin⁻¹\(\frac{12}{13}\))
= \(\frac{12}{13}\) / \(\frac{5}{3}\)
= \(\frac{12}{5}\)
So the exact value of tan(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{12}{5}\).
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i need this quickly please
Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 25 percent, and Seema had a 20 percent off coupon as well. Original price: $56 25% 25% 25% 25% $42 20% 20% 20% 20% 20% $8.40 $8.40 $8.40 $8.40 What was the price of the jeans before tax? $8.40 $16.80 $33.60 $42.00
Answer:
C.) 33.60
Step-by-step explanation:
OMP. = $56
D. = 25%
0.25 * $56 = $14
SP. = $56-$14=$42
CD. = 20% of Selling price
= 0.20 * $42 = $8.40
FSP. = $42-$8.40 = $33.60
Answer:
c
Step-by-step explanation:
"
500 mg = __________________ ounces (show work)
"
The 500 mg is equal to an approximate of 0.0176 ounces.
How many ounces are in 500 mg?To convert milligrams to ounces, we need to consider the following conversion factors:
1 ounce = 28.3495 grams1 gram = 1000 milligramsFirst, we will convert milligrams to grams:
= 500 mg * (1 g / 1000 mg)
= 0.5 g
Next, we will convert grams to ounces:
= 0.5 g * (1 ounce / 28.3495 g)
= 0.0176 ounces
Therefore, 500 mg is equal to approximately 0.0176 ounces.
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A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10.
Rounded to the nearest million,the population is about ____
Written as the product of a single digit and a power of 10, this number is ___x 10^_
Please answer this ^-^
Answer:2,549,786 rounded to the nearest million is 3,000,000
Pls give me brainliest if I am rigth
Step-by-step explanation:3,000,000 written as a power of ten is
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b = 7
Answer:
y= - _ +7
Step-by-step explanation:
421 3/50 - 212 9/10 please answer
Answer:
208.16
Step-by-step explanation:
Answer:
208 4/25
Step-by-step explanation:
420 3/50-212 9/10
420 52/50 - 212 9/10
420-212:208
Combine
53/50-- 9/10 : 4/25
Answer 208 + 4/24
or just
208
Can someone please help me with math.
Answer:
D
Step-by-step explanation:
That is a negative correlation. As x increases, y decreases. Notice that as you read from left to right, the points are going down which means negative.
f(x)=3•2^x for x = 5
Evaluate the function
Please help!!!
______________________________
1.) Calculate 2 to the power of 5:\(2^5=32\)- When calculating powers, you take the base and multiply by the base however what the number of the exponent is. In this case the base is 2. So you do 2 × 2 × 2 × 2 × 2 = 32.
2.) Multiply 3 and 32:\(3\) × \(32=96\)So your answer is \(\bold{96}\).
______________________________
find the critical points and determine if the function is increasing or decreasing on the given intervals. y=6x4 2x3 left critical point:
The critical points are x = 0, 1/4.The function is decreasing in the interval ( -∞, 0 ) and increasing in the intervals ( 0, 1/4 ) and ( 1/4, ∞ ).
Given function is y= 6x^4 - 2x^3To find the critical points and determine whether the function is increasing or decreasing, follow the steps below: Step 1: Find the first derivative of the function. Step 2: Find the critical points by setting f ' (x) = 0Step 3: Determine the intervals where the function is increasing or decreasing. Step 1: Find the first derivative of the function. The derivative of y = 6x^4 - 2x^3 is given by, dy/dx = 24x^3 - 6x^2Step 2: Find the critical points by setting f ' (x) = 024x^3 - 6x^2 = 0 Factor out 6x^2 from the above equation,6x^2 (4x - 1) = 0Therefore, either 6x^2 = 0 or 4x - 1 = 0i.e. x = 0, 1/4 are the critical points. Step 3: Determine the intervals where the function is increasing or decreasing. To check whether the function is increasing or decreasing, make use of the first derivative test. The intervals will be separated by the critical points: Let us check on the interval ( -∞, 0 ):dy/dx = 24x^3 - 6x^2So, if x < 0, 24x^3 < 0, and 6x^2 > 0. Hence, dy/dx < 0.Therefore, the function is decreasing in the interval ( -∞, 0 )Let us check on the interval ( 0, 1/4 ):dy/dx = 24x^3 - 6x^2So, if 0 < x < 1/4, 24x^3 > 0 and 6x^2 > 0. Hence, dy/dx > 0.Therefore, the function is increasing on the interval ( 0, 1/4 )Let us check on the interval ( 1/4, ∞ ):dy/dx = 24x^3 - 6x^2So, if x > 1/4, 24x^3 > 0 and 6x^2 > 0. Hence, dy/dx > 0.Therefore, the function is increasing on the interval ( 1/4, ∞ ).
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The given function is y=6x⁴ - 2x³.The first step to finding critical points is to determine the first derivative of the function. The first derivative of the given function is:
dy/dx = 24x³ - 6x²
Now, to find critical points, set the first derivative to zero and solve for x.
24x³ - 6x² = 0
Factor out 6x² from the left side:
6x²(4x - 1) = 0
Set each factor equal to zero:
6x² = 0 or
4x - 1 = 0
Solving for x in the first equation:
6x² = 0x = 0
The second equation:4x - 1 = 0
⇒ x = 1/4
So the critical points are x = 0
and x = 1/4.
To determine if the function is increasing or decreasing, we need to look at the sign of the first derivative in the intervals formed by the critical points.
When x < 0, dy/dx < 0, so the function is decreasing.
When 0 < x < 1/4, dy/dx > 0, so the function is increasing.
When x > 1/4, dy/dx < 0, so the function is decreasing.
On the interval (-∞, 0), the function is decreasing. On the interval (0, 1/4), the function is increasing. On the interval (1/4, ∞), the function is decreasing.
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help please! show your steps please
Answer:
x = -9
Step-by-step explanation:
To solve the equation
Simplify each sideSeparate the variable on one side and the numerical term on the other sideMake the coefficient of the variable equal 1Let us do these steps with our question to find x
∵ 4(2x + 7) = 12 - 2(10 - 2x)
→ Simplify each side
∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)
∴ 8x + 28 = 12 - 20 + 4x
→ Add the like terms in the right side
∵ 8x + 28 = (12 - 20) + 4x
∴ 8x + 28 = -8 + 4x
→ Subtract 28 from both sides
∵ 8x + 28 - 28 = -8 - 28 + 4x
∴ 8x = -36 + 4x
→ Subtract 4x from both sides
∵ 8x - 4x = -36 + 4x - 4x
∴ 4x = -36
→ Make coefficient of x equal 1 by dividing both sides by 4
∴ \(\frac{4x}{4}=\frac{-36}{4}\)
∴ x = -9
A project has four activities that take 4, 3, 6, and 7 days respectively. What is the total completion time for the project?
3 days, as this is the minimum time
7 days, as this is the maximum time
20 days, as this is the sum of the times
It is not possible to determine the total completion
time from the given information
Answer:
20 days
Step-by-step explanation:
To find the total time, we will just add up the days.
4 + 3 + 6 + 7 = 20 days.
Answer:
(d) not possible to tell from information given
Step-by-step explanation:
You want to know the total completion time for a project with four activities that take 4, 3, 6, and 7 days.
Completion timeThe project completion time will be determined by the dependencies between activities.
SeriesIf each activity must be completed before the next, then the total time will be 4+3+6+7 = 20 days.
ParallelIf there are no dependencies and all activities can be done in parallel, then the total completion time is 7 days, the time required for the longest activity.
In short, it is not possible to determine the total time from the information given.
Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of the equation.
(−6,4), 3y=2x−3
3 Triangles ABC and DEF shown in the diagram
are similar.
In triangle ABC, mZA = 64°.
In triangle DEF, m_F= 73º.
What is the measure of ZG?
Answer: mZG=
Answer:
137
Step-by-step explanation:
A farmer has 15 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in three boxes to the total number of eggs. Give your answer in the simplest form.
Answer:
15 boxes of eggs × 6 eggs/box =
90 total eggs
3 boxes of eggs × 6 eggs/box = 18 eggs
The ratio of the number of eggs in 3 boxes to the total number of eggs is 18/90 = 1/5.
Find the area of the surface obtained by rotating the curve }=223 from 0 to = 6 about the x-axis. The area is square units.
The surface area, we integrate the circumference of the rings from x = 0 to x = 6: Area = ∫[0,6] 2πy ds = ∫[0,6] 2π(2x^2 + 3) √(1 + (4x)^2) dx. Evaluating this integral will yield the surface area of the solid obtained by rotating the curve y = 2x^2 + 3 from x = 0 to x = 6 about the x-axis is 57.75 square units.
To find the surface area, we divide the curve into small sections and rotate each section around the x-axis to create thin rings. The circumference of each ring can be approximated by the arc length of the corresponding section of the curve.
First, we need to express y in terms of x as y = 2x^2 + 3.
Next, we calculate the differential arc length of the curve section using the formula ds = √(1 + (dy/dx)^2) dx.
In this case, dy/dx = 4x, so the differential arc length becomes ds = √(1 + (4x)^2) dx.
To find the surface area, we integrate the circumference of the rings from x = 0 to x = 6:
Area = ∫[0,6] 2πy ds = ∫[0,6] 2π(2x^2 + 3) √(1 + (4x)^2) dx.
Evaluating this integral will yield the surface area of the solid obtained by rotating the curve y = 2x^2 + 3 from x = 0 to x = 6 about the x-axis is 57.75 square units.
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Meredith is 160 cm tall. Jane’s height is 90% of Meredith’s height. How tall is jane?
Write seventy-eight and nine hundredths as a decimal number.
Submit
Answer: 78.09
Step-by-step explanation:
Seventy-eight is the whole number, so it goes to the left of the decimal point 78.09
Nine-hundredths is decimal, it goes two places to the right of the decimal point because it's hundredths 78.09
A farming community begins with one resident. Then every year, the number of residents multiplies by 10. Write an expression using an exponent to represent the number of residents in the community after 5 years.
Enter the correct answer in the boxes.
Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data.
Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.
After plotting the data points, each of them independently drew a line on the graph that they believed best represented the relationship between car weight and mileage. Drawing a line on the graph is a way to visually approximate a trend or pattern in the data. Each line likely represents their interpretation of the general trend or correlation between car weight and mileage. It's important to note that the lines drawn by Sylvia and Patrick are subjective and based on their own perception or understanding of the data. The accuracy of their lines as a representation of the actual relationship between weight and mileage would depend on the quality and quantity of the data gathered and the methodology used to analyze it.
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Describe all the positive integers that would make (32)x greater than 39. Explain your reasoning
The positive integers that will make 32x greater than 39 are
2 3 4 5 6 ....... ∞
How to find the positive integersAn integer is a whole number that can be positive, negative, or zero and is not a fraction.
There are three types of integers, they are
ZeroPositive integers or natural numbersNegative integers or additive invers of natural numbersThe statement, given in the problem is written in equation form using the inequality > which represents greater than to be
32x > 39
The is solved as follows
32x > 39
x > 39 / 32
x > 1.219
hence the integers are 2 to infinity represented by the symbol ∞
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Зу = 6
What would be the Inverse operation that will be used to isolate the variable
Answer:
division
Step-by-step explanation:
3y is being multiplied since there is not a + or - separating 3y and it is not a fraction. The opposite or inverse operation of multiplication is division.