Answer:
1,5,647,3235
Step-by-step explanation:
there yah go
for g(x) = -5x + 1, find the value of x for which g(x) = -9
Answer:
x= 2
Step-by-step explanation:
-5x + 1 = -9
-5x = -10
x = 2
Wayne is recording the number of hours he sleeps over different periods of time. The table provided shows the number of hours Wayne sleeps during the respective amount of days.
Number of Days Hours of Sleep
3 15
6 30
9 45
12 60
15 75
What is the rate of change of Wayne's hours of sleep with respect to each day?
A.
6 hours per day
B.
5 hours per day
C.
8 hours per day
D.
3 hours per day
The rate of change of Wayne's hours of sleep with respect to each day is 5 hours per day.
What is the rate of change of Wayne's hours of sleep?The rate of change of Wayne's hours of sleep with respect to each day is calculated as follows;
Mathematically, the formula is given as;
rate of change of sleep = change in sleep / change in time of sleep
The change in the sleep pattern = 30 - 15 = 15 hours
The change in the time of sleep = 6 - 3 = 3 days
The rate of change of Wayne's hours of sleep with respect to each day is calculated as
rate of change of sleep = ( 15 hours ) / ( 3 days )
rate of change of sleep = 5 hours per day
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Riley has a solar panel with a width of 25 inches. To get the proper inclination for her climate, she needs a night triangluar support frame that has one leg twice as long as the other leg. To the nearest tenth. what dimensions should the frame have ?
Riley has a solar panel with a width of 25 inches. To get the proper inclination for her climate, she needs a night triangluar support frame that has one leg twice as long as the other leg. To the nearest tenth.The dimensions of the triangular support frame should be approximately 11.2 inches by 22.4 inches.
To solve this problem, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's call the shorter leg of the triangular support frame "x" inches. Since the other leg is twice as long as the shorter leg, it will be "2x" inches. The solar panel's width (25 inches) will act as the hypotenuse in this case.
According to the Pythagorean theorem: 25^2 = x^2 + (2x)^2 625 = x^2 + 4x^2 Combining the x terms: 625 = 5x^2 Dividing by 5: 125 = x^2 Now, we'll take the square root of both sides: x ≈ 11.2 (to the nearest tenth)
So, the shorter leg (x) should be approximately 11.2 inches long, and the longer leg (2x) should be approximately 22.4 inches long.
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The ratio of the surface areas of 2 rectangles is 256:484. What is the ratio of their heights?
Answer:
182:242
Step-by-step explanation:
Reduce the ratio by its halves (50 percent) and simplify.
Although for this case, you could reduce it even further, because this is a ratio, not the true height.
If this is a test, I would not recommend that.
What is the slope? Pls answer quickk
Answer:
4/5
Step-by-step explanation:
rise/run is the slope
A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8
The measurement that is closest to the value of x, in centimeters, is given as follows:
14.3.
How to obtain the value of x?In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.
Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.
The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.
Then the length of x is calculated as follows:
x² = 11.9² + 7.9²
x = square root of (11.9² + 7.9²)
x = 14.28.
Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.
Missing InformationWe suppose that 11.9 cm and 7.9 cm are the measures of the legs.
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Translate the following phrase, then simplify.
Find the quotient of -12 and 4
Plz help
Answer:
-12 ÷ 4 = -3
Step-by-step explanation:
The word quotient means answer after dividing so pratically you're dividing. Thus:
-12 ÷ 4 = -3
The answer is -3 because when dividing a negative and positive number the answer is always a negative number.
HOPE THIS HELPED
Determine if each statement is true or false. Explain your answer. A square is a specific type of parallelogram.
Answer:
false.
Step-by-step explanation:
a square is a quadrilateral with all right angles and all equal sides.
HELP
Identify a pair of parallel lines in the given figure.
OA) s and t
OB) p and r
OC) s and a
OD) q and t
Answer:
A) s and t.
Step-by-step explanation:
just trust me. Plus lines s and t are the only pair of lines that don't touch each other and can go on forever not touching each other.
please help me. i don't remember how to do this stuff so please explain it.
Answer:
which class are you read in?
actually don't know ans
Step-by-step explanation:
hope it's helpful to you
gud nyt
sweet dreams
Answer:
ncnggvbbjhgujgkgcffjd7jh
Please help!!! Angles!
Answer:
m∠JKM = 63°
m∠MKL = 27°
Step-by-step explanation:
Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.
\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)
Solve the equation for x:
\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)
We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,
m∠JKM = 12(5) + 3 = 60 - 3 = 63°
m∠MKL = 6(5) - 3 = 30 - 3 = 27°
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour.
Answer:
Step-by-step explanation:
1/5 of 115= 23
so in 15mins he reads 23 pages.
15mins x 4=60mins
23x4=92
Have a nice day sunshine
Question 1 of 25
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply.
A.-25
B. 18
C. -7
D. O
It is not possible.
Based on this analysis, the possible values for the discriminant in this case are A (-25) and C (-7).
To determine the possible values for the discriminant of a quadratic function, we need to consider the nature of the roots based on the discriminant value. The discriminant (Δ) is given by the formula Δ = b² - 4ac, where a, b, and c are the coefficients of the quadratic equation in the form ax² + bx + c = 0.
If the discriminant is positive (Δ > 0), then the quadratic equation has two distinct real roots, and the graph of the quadratic function intersects the x-axis at two points.
If the discriminant is zero (Δ = 0), then the quadratic equation has one real root with multiplicity, and the graph of the quadratic function touches the x-axis at one point.
If the discriminant is negative (Δ < 0), then the quadratic equation has no real roots, and the graph of the quadratic function does not intersect the x-axis. In this case, there are no x-intercepts.
Let's check the possible values for the discriminant:
A. Δ = -25: This is a negative value, so it is possible. The quadratic function would have no x-intercepts.
B. Δ = 18: This is a positive value, so it is not possible. The quadratic function would have two distinct real roots.
C. Δ = -7: This is a negative value, so it is possible. The quadratic function would have no x-intercepts.
D. Δ = 0: This is a non-negative value, but it represents a case where the quadratic function has one real root with multiplicity. It does not fulfill the requirement of having no x-intercepts.
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Miguel has 14 action videos and 21
adventure videos. Use a ratio to compare the number of action videos and the number of adventure videos.
The ratio of action videos to adventure videos is 14:21.
What is the ratio of action videos to adventure videos?This question uses the concept of ratios, which is a comparison of two or more values. Ratios are used to compare quantities in a variety of situations.
Count the number of action videos and the number of adventure videos. In this example, there are 14 action videos and 21 adventure videos.
Create a ratio by writing the number of action videos first, followed by a colon, followed by the number of adventure videos. In this example, the ratio is 14:21.
Simplify the ratio if needed. In this example, the ratio is already in its simplest form.
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a fish is reeled in at a rate of foot per second from a point feet above the water (see figure). at what rate is the angle between the line and the water changing when there is a total of feet of line from the end of the rod to the water?
(-10/252) x (1/0.9165) = 0.0175 rad/sec is the equation for theta/dt.
Angle theta in the displayed figure can be expressed as
Theta sin = 10/sin
The angle will change at the following rate:
(-10/x2)(dx/dt) = cos theta(theta/dt)
Now, when x equals 25 feet, we require d theta/dt.
The fishing line is reeled in at a rate of
dx/dt = -1 ft/sec.
Now, if x equals 25, then Cosine equals
[ (x2-100)]
Cosine equals [ (252-100)]/25 = 0.9165So,
(-10/x2)(dx/DT)(1/cos theta) = theta/DT
The formula for theta/it is (-10/252)x(1/0.9165) = 0.0175 rad/sec.
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Calculate the rise and run between any two coordinates to find the slope of each line ...
For the first one its a slope of -2/3
The second one is 4/5
and the third one is -1/7
can anyone answer this question please
what is halfway between 5.3 and 5.4
Answer:
5.35
Step-by-step explanation:
5.31 5.32 5.33 5.34 5.35
The table shows the results of rolling a number cube with sides labeled 1 through 6 several times. Outcome Number of times outcome occurred 1 10 What is the experimental probability of rolling a 3 or a 6? 2 6 Enter your answer as a fraction in simplest form in the box.. 3 4 4 8 5 6 Basic 6 6 7 8 9 L: X y
Answer:
Because a 2 or a 4 was rolled 3 out of 12 times in the experiment, t so the fraction would be 3/12 (or 3 over 12).
Simplified: 1/4 (or 1 over 4)
Step-by-step explanation:
you and your friend toss a coin continuously, if the sequence hh appears first you win, if th appears first your friend wins, who is more likely to win?
Both has the equal chances of winning first as the probability is same.
We are given that:
There are two coins that are tossed simultaneously.
Sample space is:
S = { HH, HT, TH , TT}
Now, the probability of appearing HH on the coins is:
P = 1 / 4 = 0.25
The probability of appearing TH on the coins is:
P = 1 / 4 = 0.25
So, the probability of anyone winning is the same.
Both has the equal chances of winning.
Therefore, both has the equal chances of winning first as the probability is same.
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a group consists of 10 kids and 2 adults. on a hike, they must form a line with an adult at the front and an adult at the back. how many ways are there to form the line?
a. 12/2!
b. 2 . 11!
c. 2 . 10!
d. 12!\
If a group consists of 10 kids and 2 adults, the number of ways are there to form the line are 2 * 10!. So, correct option is C.
To form a line with an adult at the front and an adult at the back, we need to consider the positions of the 10 kids within the line. The two adults are fixed at the front and back, so we have 10 positions available for the kids.
To calculate the number of ways to arrange the kids in these positions, we can use the concept of permutations. Since each position can be occupied by a different kid, we have 10 options for the first position, 9 options for the second position, 8 options for the third position, and so on, until the last position, where only 1 kid remains.
Therefore, the number of ways to form the line is:
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!
However, the problem also mentions that there are 2 adults, so we need to consider the arrangements of the adults as well. Since there are only two adults, there are 2 ways to arrange them in the line (adult at the front and adult at the back or vice versa).
Therefore, the total number of ways to form the line is:
2 x 10! = 2 * 10!
Hence, the correct option is b. 2 * 10!, which accounts for both the arrangements of the kids and the adults.
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A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle exceeds 50 seconds
the probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle.
less than 40 seconds - Event A
more than 40 sec - A ' ( A bar / A compliment)
not
maximum number of people in Event A = 40
maximum number of people in A' = 40
total number of maximum people in A or A' = 40 +40 = 80
but here there are 100 people > 80
hence
this is not possible
Required probability = 0
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.
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Find the endpoint P of a line segment whose midpoint Q lies at (5, -10) and whose other endpoint lies at (-8, -4). Write it as an ordered pair.
Which of the following is a correct step in simplifying (look at the picture below)
The correct step in simplifying the expression is (b) ∛2 * 64 * (x⁴)³ * y⁵
How to determine the correct step in the expressionFrom the question, we have the following parameters that can be used in our computation:
∛128x¹²y⁵
Express 128 as 2 * 64
So, we have
∛2 * 64x¹²y⁵
Express x¹² as (x⁴)³
So, we have
∛2 * 64 * (x⁴)³ * y⁵
Hence, the expression is (b) ∛2 * 64 * (x⁴)³ * y⁵
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Use double integrals to find the area inside the curveR={(r,θ)|0≤r≤5+sin(θ),0≤θ≤2π}(1
the area inside the curve R is approximately 42.4115 square units.
To find the area inside the curve R, we can use a double integral. The formula for finding the area of a region using a double integral is:
A = ∬R dA
where A is the area of the region R, and dA is an infinitesimal element of area in the region R.
In polar coordinates, dA can be expressed as:
dA = r dr dθ
where r is the radius and θ is the angle.
Substituting this into the formula for the area, we get:
A = ∫₀^2π ∫₀^(5+sinθ) r dr dθ
We can evaluate this integral by integrating first with respect to r and then with respect to θ:
A = ∫₀^2π [1/2 r²] from 0 to (5+sinθ) dθ
A = ∫₀^2π 1/2 (5+sinθ)² dθ
Expanding the square and simplifying, we get:
A = ∫₀^2π 1/2 (25 + 10sinθ + sin²θ) dθ
A = 1/2 ∫₀^2π (25 + 10sinθ + sin²θ) dθ
Using the trigonometric identity sin²θ = (1-cos2θ)/2, we can simplify this to:
A = 1/2 ∫₀^2π (25 + 10sinθ + 1/2 - 1/2cos2θ) dθ
A = 1/2 ∫₀^2π (27/2 + 5sinθ - 1/2cos2θ) dθ
Integrating each term separately, we get:
A = 1/2 [27/2θ - 5cosθ + 1/4sin2θ] from 0 to 2π
A = 1/2 [(27/2)(2π) - 5cos2π + 1/4sin2(2π) - (27/2)(0) - 5cos0 + 1/4sin0]
A = 1/2 (27π)
A = 13.5π
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ASAP MATH!! MARKING BRAINLIST!!
Answer:
8.4 ?
Step-by-step explanation:
sorry if im wrong
Answer:
1)$0.50
Divide $1 by 2 and you get $0.50.
6) w(a)= a -1; Find w(0)
-1
Step-by-step explanation:Functions are often given in a different notation than other relationships. This is known as function notation.
Function Notation
Function notation is most commonly written with the variables f(x) and x. The variable f(x) is pronounced "f of x". Still, function notation can be written with any variables such as w(a) and a. The independent variable, also known as the y-value, is f(x). The dependent variable is x. For the question above, w(a) is independent and a is dependent. When solving a function for a specific value, to show what the x-value is, we put that value into the parentheses.
So, the question uses w(0) to show that 0 is the a-value we are using to solve. In context, w(0) means to solve the function when a = 0.
Solving for w(0)
To solve this, all we need to do is plug 0 in for a.
w(0) = 0 - 1w(0) = -1This means that w of 0 is equal to -1.
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit? Use 3.14 for pi. *
Q1: A gold chain bought for Rs.50,000 is sold after two years at a profit of Rs.9,500 . The cost of this chain has increased by _____
Q2: A and B are business partners. They made a profit of Rs. 60,000 . If A has double the share as compared to B , then the
share of profit for A is equal to _____.
Q3: A book seller 20 bought books for Rs. 1,000 . Fifteen of these books were sold for Rs. 70 each and the rest for Rs. 90 each.
The profit gained is _____.
Q1: A gold chain bought for Rs.50,000 is sold after two years at a profit of Rs.9,500 . The cost of this chain has increased by 15.8%.
How to determine the increase in the cost of the chain?To calculate the increase in the cost of the chain, the percentage increase should be determined which is carried out below. Thus;
The original price of gold chain = Rs. 60,000
The profit made after two years = Rs.9,500
The total amount of money made for selling the chain = 60,000+9500
= Rs. 69500
The increase in cost of chain;
= 9500/60000 × 100/1
= 950000/60000
= 15.8% increase in cost price.
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The real exchange rate of Canada increased by 4.9% relative to US. Observing that Canada's inflation rate is 8.5% while the US inflation rate is 3.8%, what is the change in the nominal exchange rate (in Canada's perspective)? Round your answer to the nearest two decimal place. Write your answer in percentage terms so if your answer is 10%, write 10 .
The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.
Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada
= 4.9% Inflation of Canada
= 8.5% Inflation of US
= 3.8% Nominal Exchange Rate
= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate
= 4.9% x 1.085 / 1.038 Nominal Exchange Rate
= 5.3099 / 1.038 Nominal Exchange Rate
= 5.11 (rounded to two decimal places)
This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
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