Answer:
D
Step-by-step explanation:
Substitute the f(x) and g(x) into f/g
\(\frac{\sqrt[3]{3x} }{5x+2}\)
To find the domain,
Get the denominator of the fraction so 5x + 2 and equal it to 0 and find x
5x + 2 = 0
5x = -2
x = \(\frac{-2}{5}\)
Therefore it's D
3 and 4 I need help with so confusing
Answer: 3. (3,-3) and 4. (-3,4)
Step-by-step explanation: Number 4 is self explanatory of what they are and number 3, you need to figure out what minus 6 equals -3 and that happens to be 3.
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
\(\frac{3x+4}{x+5}\)
Step-by-step explanation:
Given
\(\frac{2x+7}{x+5}\) + \(\frac{x-3}{x+5}\)
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= \(\frac{2x+7+x-3}{x+5}\)
= \(\frac{3x+4}{x+5}\)
Answer:
The answer is
\( \frac{3x + 4}{x + 5} \)
Step-by-step explanation:
We can do this by using the denominators.
\(then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} \)
Mamadou went shopping for a new pair of sneakers. Sales tax where he lives is 8%. What number should he multiply the price of the pair of sneakers by to find the total plus tax in one step?
The price of the pair of sneakers should be multiplied by 1.08.
What is percentage?A percentage is a value that indicates 100th part of any quantity. The percent value of a quantity can be find by dividing the quantity given to the total value and then multiplying by 100. If a quantity is increased by x%, then it should be multiplied by (100 + x)% to get the new quantity.
Suppose the price of the pair of sneakers be x.
And, the sales tax is given as 8%.
Then, the price paid for tax is given as,
⇒ x × 8% = 8x/100
And, the total price is the sum of tax amount and the original price as written below,
⇒ x + 8x/100 = 108x/100
⇒ 1.08x
Hence, the number that should be multiplied is 1.08.
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03.01 MC) A surveyor randomly interviewed 65,439 people who live in Virginia to gather information on whether national healthcare is accomplishing its goals. Part A: What are the population and sample in this survey? (4 points) Part B: The survey found that 71% of females and 88% of males visited a family doctor at least once in the past year. Do you think these approximations of the sample are close to approximations of the entire population? Explain. (6 points)
Answer:
Part A: The population and the sample of the survey are;
The population = The entire population of the country
The sample = 65,439 people in the state of Virginia
Part B: Given that the survey was based on only one state and only one model of health care delivery, the approximations of the sample will not be close to the approximations of the entire population
Step-by-step explanation:
The given information are;
The number of people interviewed in the survey = 65,439 people
The location of the people surveyed = Virginia
The goal of the survey = The effectiveness of the national healthcare
The number of females that visited a family doctor at least once in the past year = 71%
The number of males that visited a family doctor at least once in the past year = 88%
Part A: The population and the sample of the survey are;
The population = The entire population of the country
The sample = 65,439 people in the state of Virginia
Part B: Given that the survey was based on only one state and only one model of health care delivery, the approximations of the sample will not be close to the approximations of the entire population.
A bag has 1 striped, 4 red, 6 blue, and 3 yellow marbles. A student randomly draws a marble from the bag. What is the probability of drawing a blue marble?
1:14
3:14
3:7
1:4
14
4.5
2.5
........................
how do you do that 52 + 19 = 71
Answer:
1
52
+ 19
____
71
Step-by-step explanation:
add 2+9 and get 11
carry the one
add 1+1+5 and get 7
71
simplify 6/22 = ?/? please help
Answer:
3/11
Step-by-step explanation:
divide each side by 2
Answer:
3/11
Step-by-step explanation:
Let's simplify the value,
→ 6/22
→(6 ÷ 2)/(22 ÷ 2)
→ 3/11
Thus, the value is 3/11.
Given the equation x^2=16, which statement below describes the solution(s)?
Answer:
4
Step-by-step explanation:
x²=16
x=√16
x=4
Answer:
x^2=16
^ stands for power or exponent
so, the equation is: x square= 16
for this x should be equal to 4
now,
4^2=16
Step-by-step explanation:
the picture below shows the shape of a design painted on the side of a building. The design was formed by combining triangles and rectangles.
What is the area of the wall covered by the design?
Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.
What exactly does an area mean?The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.
Here,
We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.
Taking a look at the rectangle first, we can observe that it has the following area:
=> 120 square feet= 10 feet x 12 feet.
=> 40 square feet = (1/2)(10 ft)(8 ft).
Consequently, the two triangles' combined area is:
=> 80 square feet = 2 x 40 square feet.
=> (12 square feet) = (1/2)(6 ft)(4 ft).
The total area of all the shapes is as follows:
=> 212 square feet= 120 square feet, 80 square feet, and 12 square feet.
=> 212 square feet of the wall are therefore covered by the design.
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Answer: the answer is 261 ^2 ft!
Step-by-step explanation:
Find the equation of locus of a point which moves so that
1. Its distance from X-axis is always 4 units.
Answer:
Given,
Moving point =P(x,y)
Fixed point = Q(x,0)
PQ = 4 units
now,
PQ² = (x-x)² + (y-0)²
or, 4² = 0² + y²
or, 16 = y²
or, √16 = y
∴ y = ±4
The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.
To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.
Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.
Using the distance formula, we have:
PQ² = (x - x)² + (y - 0)²
Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:
PQ² = y²
Substituting the value of PQ as 4 units:
4² = y²
16 = y²
Taking the square root of both sides:
\(\sqrt{16 } = \sqrt{y^2}\)
±4 = y
Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.
Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:
y = ±4
This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.
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On the grid below segment AB is shown with endpoints A(-1,-1) and B(7,5). Its midpoint, M, is also
labeled and has coordinates of M (3, 2).
(a) Draw the perpendicular bisector of AB on the grid. Think about its slope compared to that of AB.
b) Write the equation of the line you drew in (a).
The slope of the line AB and the perpendicular bisector are reciprocal to each other and the equation of the line is 3y + - 4x = 18.
Perpendicular bisector:A line is known as a perpendicular bisector when it divides a specified line segment in half, by creating a 90° angle at the intersection.
The intersection of a line segment's midpoint with a perpendicular bisector. It can be built with a compass and a ruler.
On both sides of the line segment being divided, it forms a 90° angle.
Here we have
On the grid below segment AB is shown with endpoints A(-1,-1) and B(7,5). It's midpoint M. The coordinates of M (3, 2).
Slope from A(-1,-1) and B(7,5)
=> [ 5 + 1]/[7 + 1 ] = 6/8 = 3/4
When we draw a perpendicular bisector of AB on the grid. It will pass through the point (0, 6)
The slope of the perpendicular bisector i.e from (0, 6) to (3, 2)
=> [2 - 6]/[3 - 0] = - 4/3
Let the equation of the bisector is y = mx + c
=> y = (-4/3)x + c
=> 3y = - 4x + 3c [ ∵ Slope = -4/3 ]
As we know the bisector will pass through (3, 2)
=> 3(2) = -4(3) + 3c
=> 3c = 12 + 6
=> 3c = 18
Hence, the required equation of the line is 3y = - 4x + 18
Therefore,
The slope of the line AB and the perpendicular bisector are reciprocal to each other and the equation of the line is 3y + - 4x = 18.
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If 5x - 2y = 6 and 3x + 2y = 10, then find x
Answer:
x=2
Step-by-step explanation:
After solving with substitution, you would know x = 2
Step-by-step explanation:
\(\textsf{\large{\underline{Solution}:}}\)
Given Equations:→ 5x - 2y = 6 ----- (i)
→ 3x + 2y = 10 ---- (ii)
Adding (i) and (ii), we get:
→ 8x = 16
→ x = 16/8
→ x = 2
Substituting the value of x in (i), we get:
→ 5 × 2 - 2y = 6
→ -2y = 6 - 10
→ -2y = -4
→ y = -4/-2
→ y = 2
Therefore:
→ (x, y) = (2, 2) (Answer)
\(\textsf{\large{\underline{Verification}:}}\)
Put x = 2 and y = 2 in second equation, the LHS becomes:
= 5 × 2 - 2 × 2
= 10 - 4
= 6
= RHS
Put x = 2 and y = 2 in second equation, the LHS becomes:
= 3 × 2 + 2 × 2
= 6 + 4
= 10
= RHS
Hence, our answer is correct (Verified)
Hope this helps!!
please help me i’ll mark brainliest
Answer:
It is a function because it doesn't have 2 inputs (do vertical line test)
Step-by-step explanation:
A function only has one input.
TIP: make sure no points connect. If they do, it's not a function.
A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet?
Answer: 1,176 miles
Step-by-step explanation:
490 / 5 = 98 miles
98 mph X 12 hours is 1,176
Richie is solving the equation x^2 – 12x = 28 by completing the square. What number should he add to
both sides of the equation to complete the square? Pleaseee Help
Answer:
Richie should add the number 36 to both sides.
Step-by-step explanation:
To complete the square, you need to divide b by 2, square it, then add it to both sides. In this case, you'd do this:
12/2=6
6^2=36
if x has a geometric distribution what does (1-p)n-1 represent
The probability of having n-1 failures before the first success in a Geometric distribution, given a specific probability p.
The formula (1-p)n-1 represents the probability of having n-1 failures (or successes, depending on which outcome the probability p is associated with) in a Geometric distribution. For example, if p=0.3, then the formula (1-p)n-1 would represent the probability of having two failures before the first success. This would be equal to (1-0.3)2-1, or 0.49. This means that there is a 49% chance of having two failures before the first success in this example. In general, this formula can be used to calculate the probability of having n-1 failures before the first success in a Geometric distribution, given a specific probability p.
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Complete question:
What does (1-p)n-1 represent in a geometric distribution?
The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5). Which shows the triangle when it is translated two units left? Group of answer choices On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5). On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)
The translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5). (option b)
To translate the triangle two units to the left, we need to subtract 2 from the x-coordinates of each vertex, while leaving the y-coordinates unchanged. This is because moving the triangle left means we're decreasing its x-values.
So, let's apply this transformation to each point.
The first point, (-1, -1), becomes (-1 - 2, -1), which simplifies to (-3, -1).
The second point, (-1, -5), becomes (-1 - 2, -5), or (-3, -5).
The third point, (0.5, -5), becomes (0.5 - 2, -5), or (-1.5, -5).
These new coordinates give us the vertices of the triangle after it has been translated two units to the left.
Now that we have the new vertices, we can label them A', B', and C' to distinguish them from the original vertices. So, the translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5).
This is the second option in the answer choices given.
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Kevin says that lines p and m will eventually intersect.
Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n.
Is Kevin correct?
No, because they are non-coplanar.
No, because they are parallel.
Yes, because they are perpendicular.
Yes, because they are coplanar.
Answer:
No, because they are parallel.
Kevin says that lines p and m will eventually intersect. The statement is incorrect because lines p and m are parallel.
What are parallel and perpendicular lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.
It is given that lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n.
In the image attached with the answer below it is observed that the two lines p and m are in the same plane and are parallel to each other.
Therefore, the statement given by Kevin is incorrect.
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determine whether the number line represents a discrete random variable or a continuous random variable. explain your reasoning.
The number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.
A random variable is a variable that can take on different values, depending on the outcome of a random event.
A discrete random variable is a random variable that can only take on certain values.
A continuous random variable, on the other hand, can take on any value within a given range.
The given number line has dots or points that represent the possible values that the random variable can take on.
The dots or points on the number line suggest that the random variable is discrete.
Therefore, the number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.
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Solve the inequality -3/5 < r -3/5 how to solve
Answer:
Step-by-step explanations:
Answer:
r > 0 should be your answer
0 , and that infinity symbol (i cant find it :/)
Can you please help me with number 12? I have to do the followinga) State the number of real zerosb) state the degreec) state the end behaviord) state the real zeros and their multiplicities (odd=1 or even =2) e) state the y-interceptf) write the equation of each polynomial
a)
It crosses the x-axis 3 times, at x = -3 and x = 1 (multiplicity 2)
Therefore, it has 3 zeros, one of them is repeated
The zeros are:
-3 , 1, 1
b)
Since it has 3 zeroes, the degree is 3
c)
\(\lim _{x\to\infty}P(x)=\infty\)The function tends to infinity as x approaches to infinity
d)
-3 : Multiplicity 1
1 : Multiplicity 2
e)
The y-intercept is the point where the graph crosses the y-axis, as we can see, the point is:
\(_{\text{ }}y-intercept=(0,1)\)f)
Using the zeros, we can write the equation as:
\(y=(x+3)(x-1)^2\)The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance at 60 miles per hour, how long will it take to travel the same distance at 50 miles per hour?
Select one:
a. 6.6 h
b. 6.9 h
c. 4.6 h
d. 4.2 h
Answer:
6.6h
Step-by-step explanation:
So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 milesUse this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed330 miles divide by 50 miles per hour gives 6.6 hoursTHE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
Pls See the photo
Step-by-step explanation:
Hope u like it
Answer:
His son is 10 and his father is 30.
Step-by-step explanation:
Let the age of his son be x and his father's age be 3x.
5(x-5) = 3x-5
5x-25 = 3x-5
5x-3x = 25-5
2x = 20
x = 10
3x = 10 × 3
= 30
what is the probability that a card drawn randomly from a standard deck of 52 cards is a red jack? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The standard deck of 52 cards has 26 black and 26 red cards, including 2 jacks for each color. Therefore, there are two red jacks in the deck, so the probability of drawing a red jack is \(\frac{2}{52}\) or \(\frac{1}{26}\).
The total number of cards in a standard deck is 52. There are 4 suits (clubs, spades, hearts, and diamonds), each with 13 cards. For each suit, there is one ace, one king, one queen, one jack, and ten numbered cards (2 through 10).The probability of drawing a red jack can be found using the formula:P(red jack) = number of red jacks/total number of cards in the deck.There are two red jacks in the deck, so the numerator is 2. The denominator is 52 because there are 52 cards in a deck. Therefore: P(red jack) = \(\frac{2}{52}\) = \(\frac{1}{26}\) (fraction in lowest terms)or P(red jack) = 0.0384615 (decimal rounded to the nearest millionth) There is a \(\frac{1}{26}\) or 0.0384615 probability of drawing a red jack from a standard deck of 52 cards.
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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Brainlist!
Show all steps and I will make you Brainlist.
Answer:
The height of the tree to the nearest foot is 75.
Step-by-step explanation:
The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.
tangent = opposite/adjacent
\(\frac{tan(59)}{1} = \frac{h}{45}\)
h = tan(59) * 45
h ≈ 74.89
To the nearest foot, 74.89 is 75 ft.
Given the equation y= 2x - 8, what is the slope and the y-intercept?
Om = 2 and b= 8
O m= 2 and b= -8
m= 8 and b=2
O m= -8 and b= 2
The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth? fill in the blank 1
Answer:√29.5= 5.43139
Step-by-step explanation:
An assembly line has 16 hours to make 1.000 units. What is the required cycle time? (slide 23) 72sec 216sec 57.65sec 14,4sec
The required cycle-time is approximately 57.6 seconds.
To find the required cycle time, we need to divide the total available time by the number of units to be produced.
Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds
Number of units to be produced: 1,000 units
Required cycle time: Total available time / Number of units
Cycle time = 57,600 seconds / 1,000 units
Cycle time ≈ 57.6 seconds
Therefore, the required cycle time is approximately 57.6 seconds.
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plzzzz answer quick
x+3y=-3
find x and y