Answer:
Linear-
nonlinear
Linear
Step-by-step explanation:
Tan45degree - 10cos60degree
Answer:
- 4
Step-by-step explanation:
Tan(45°) - 10 * cos (60°) = - 4
Solve 169x^2-42.25=0 by using square roots?
NEED HELP!!!
Answer:
x = 1/2 , x = -1/2
Step-by-step explanation:
Given equation;
169x² - 42.25
Find:
Solution of equation using square root
Computation:
169x² - 42.25
We know that 13² = 169 and 6.5² = 42.25
So,
[13x]² - [6.5]²
a² - b² = (a + b)(a - b)
So,
[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]
So,
13x + 6.5 = 0 , 13x - 6.5 = 0
x = 6.5 / 13 , x = -6.5 / 13
x = 1/2 , x = -1/2
) [7 − 2x + 5y − (x − y)] − (5x + 3y − 7)
Answer:
[7-2x+5y-(x-y) -[5x+3y-7]
= 7-2x+5y-x+y-5x-3y+7
=7+7-2x-x-5x+5y+y-3y
=14-8x+3y
=-8x+3y+14
Step-by-step explanation:
Answer:
The answer is 14!
Step-by-step explanation:
What is the product of -4.6 and 3.2?
Steps to get there would be helpful too!
Answer:-14.72
Step-by-step explanation:
Answer:
The answer is negative 14.72
Step-by-step explanation:
this is because if you multiply negative 4.6 and 3.2
Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling ribbon
Notice how both lines intersect at 18 days. That means that at that point in time, both lines represent a value that is exactly the same.
Therefore, Frank and Erica will have the same to sell on Day 18
(Option J)
What equation is parallel to
y= - 1\4x + 5 and passes through (2,-3)
QUICK
Given:
The equation of parallel line is \(y=-\dfrac{1}{4}x+5\).
Required line passes through (2,-3).
To find:
The equation of line.
Solution:
We have,
\(y=-\dfrac{1}{4}x+5\)
On comparing this equation with \(y=mx+b\), where m is slope, we get
\(m=-\dfrac{1}{4}\)
Slope of two parallel lines are always same. So, slope of required line is \(m=-\dfrac{1}{4}\).
The required line passes through the point (2,-3) having slope \(m=-\dfrac{1}{4}\), so the equation of line is
\(y-y_1=m(x-x_1)\)
\(y-(-3)=-\dfrac{1}{4}(x-2)\)
\(y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)\)
\(y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}\)
Subtracting 3 from both sides, we get
\(y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3\)
\(y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}\)
\(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\)
Therefore, the equation of required line is \(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\).
3. Ramon gives his friend his address: 1834 Norman Heights Hillbrow Johannesburg 3.1 What floor does Ramon live on? 3.2 What is Ramon's flat number?
The floor that Ramon lives on, given the address that Ramon gave his friend in Johannesburg, is Floor 18.
Ramon's Flat number, given the address, is Flat 34.
How to write a flat address in South Africa ?In South Africa, there is a way to write the floor that a person stays on and the flat number, in the address that they give to you. The format is such that the first two numbers would represent the floor number. This means that an address of 0208 would means that the floor number is the 2nd floor.
The second two numbers would then be the flat number of the person which means that an address of 0208 would have a flat number of 08.
Ramon's address of 1834 Norman Heights Hillbrow Johannesburg would then be Floor 18 and Flat 34.
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What's 40% of 100?
What's 40% of 110?
What's 40% of 140?
What's 40% of 120?
Answer:
To find 40% of a number, you can multiply the number by 0.4 or divide it by 2.5.
Using this method, we get:
40% of 100 is 40 (100 x 0.4 or 100 ÷ 2.5)
40% of 110 is 44 (110 x 0.4 or 110 ÷ 2.5)
40% of 140 is 56 (140 x 0.4 or 140 ÷ 2.5)
40% of 120 is 48 (120 x 0.4 or 120 ÷ 2.5)
Therefore, 40% of 100 is 40, 40% of 110 is 44, 40% of 140 is 56, and 40% of 120 is 48.
Solve the inequality and graph the solution.
k/2 – 20 ≥ –18
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
The graph of the inequality is attached below.
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
Consider, the given inequality
K/2 - 20 ≥ -18
Add 20 on both sides,
K/2 - 20 + 20 ≥ -18 + 20
K/2 ≥ 2
Multiply both sides by 2,
K/2 x 2 ≥ 2 x 2
K ≥ 4
Now to graph the inequality.
The graph of the inequality is attached below.
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A painter is displaying her recent artwork on the wall in a frame that has a uniform width on all four sides. Her painting is 14 inches long and 8 inches wide. The width of the frame is x inches. She found the expression below to represent the total area of the wall that is covered by her framed painting.
4x^2+44x+112
What does the term 4x^2 represent?
A. The term 4x^2 represents the total area of frame.
B. The term 4x^2 represent the area of frame along the width of the painting.
C. The term 4x^2 represents the area along the length of the painting.
D. The term 4x^2 represents the area of the frame that does not touch the painting.
Answer:B
Step-by-step explanation:
Because, if the width of the frame is x inches this is the total of this frame and artwork. so the answer is B.
Do you choose best?
The correct mix for a batch of concrete is 6:3:2 in terms of sand, gravel and cement. The batch is to have 3300 pounds of these ingredients. How many of each are needed?
pounds of sand
pounds of gravel
pounds of cement
Answer:
1,800 lbs of sand
900 lbs of gravel
600 lbs of cement
Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.
During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
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Can someone please help me with this math problem.
Answer:
8 + 30 ÷ 2 + 4 = 27
8 + 30 ÷ (2 + 4 ) = 13
(8 + 30) ÷ 2 + 4 = 23
Step-by-step explanation:
A bag contains 6blue marbles 8 green marbles 9 red marbles and 17 yellow marbles what is the ratio of blue marbles to Total marbles
Answer:
6:40
Step-by-step explanation:
6 blue marbles
8 green marbles
9 red marbles
17 yellow marbles
6+8+9+17= 40.
40 is the total amount of marbles.
There are 6 blue marbles.
Comparing the amount of 6 to 40 would be 6:40
A random sample of 61 Foreign Language movies made in the last 10 years has a mean length of 135.7 minutes with a standard deviation of 13.7 minutes. Construct a 95% confidence interval.
Answer:
95% confidensce interval of the mean (two-tail) = [132.2, 139.2]
Step-by-step explanation:
Given:
N = size of sample = 61
m = sample mean = 135.7
s = sample standard deviation 13.7
Need 95% confidence interval
Solution.
alpha (95% confidence interval) = 0.05
(1-alpha/2) = 0.975 [two sided]
Equation for confidence interval of the mean
= m +/- t(1-alpha/2,N-1) * s / sqrt(N)
= 135.7 +/- 2.0003 * 13.7 / sqrt(60)
= [132.16, 139.24]
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
Angle EFB is 108º
a)Find the size of angle x.
b) which one of these justifies your answer?
A-corresponding angles
B- Alternate angles
C- vertically opposite angles
Answer:
c of what im sure about
Step-by-step explanation:
A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.
With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
Word Problem Leading to Exponential FunctionFirst analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.
Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let
I = initial amount injected = 0.9 gramsR = decay rate = 1.15%t = number of days = 60 daysA = the remaining amount of Iodine - 125An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be
A = I( 1 - R%)^t
Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula
A = 0.9 ( 1 - 1.15/100)^60
A = 0.9 ( 1 - 0.0115)^60
A = 0.9 ( 0.9885)^60
A = 0.9 x 0.4995
A = 0.45 grams
Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
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present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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11. At Outdoor Adventures Clothing Company, all items are marked up to maximize
profit. Life preservers cost $25 to buy from the manufacturer. They sell for $35. What
is the percent increase on life preservers, to the nearest whole percent?
Using the percentages formula, we conclude that the percentage increase in life preserves is 40%.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement. By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%.So, the percentage increase in life preserves:
Formula: (selling value - cost)/cost ×100Now, substitute the values in the formula as follows:
(selling value - cost)/cost ×100(35 - 25)/25×10010/25×1000.4×10040%Therefore, using the percentages formula, we conclude that the percentage increase in life preserves is 40%.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
Which equation represents a linear function?
A y=1/4x
B y= |x|
C y= x exponent 2
D y= -3x exponent 3
So on solving the provided question, we can say that y= |x| makes a starlight line, this equation is a linear function.
What is linear function ?Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.
equation represents a linear function is that polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line.
so, here y= |x| makes a starlight line, this equation is a linear function.
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Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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The graph below shows the distance a car drove over a course of 18 hours. At what time did the driver end her trip?
at 20 hours
at 2 hours
at 18 hours
at 4 hours
(a) For a normal distribution, find the z-score that cuts off the bottom 60.94% of all the z-scores. Round to 2 decimal places after the decimal point.
Answer:
0.28
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
\(z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation,x=raw \ score\)
From the normal distribution table, the z score that corresponds to the bottom 60.94% (0.6094) = 0.28.
Jonathan needs to earn at least $175 next week and can work at most 20 hours. He earns $10 per jour at his lawn service job and $8 per hour at his job at the gym. Which of the following systems c inequalities represents this situation in terms of the number of hours he will work at his lawn service job, e, and the number of hours he will work at his job at the gym, g, next week?
Let L be the number of hours worked on the lawn service and G be the number of hours worked on a gym.
Since he can work at most 20 hours and the total amount of hours worked is L+G, then:
\(L+G\le20\)Since Jonathan earns $10 for each hour working on lawn service and $8 for each hour working on the gym, the total amount of money that he earns is 10L+8G. Since he needs to earn at least $175, then:
\(175\le10L+8G\)These two inequalities make up the system that describes this situation.
determine the intersepts of the lines
Answer:
Y-intercept is (0, 100) and the X-intercept is (-250, 0)
Step-by-step explanation:
For the y-intercept the line from the origin does not move left or right and stays at 0 but it goes up by 100.
For the x-intercept the line does not go up and down but it goes to the left -250.
Ariane borrows $200 on a 6−year loan. She is charged 5% simple interest per year. How much interest is she charged for 6 years? What is the total amount she has to pay back?
After 6 years, Ariane is charged $
in interest. She pays a total amount of $
.
Answer:
she is charged 80 in interest for 4 years, the total she has to pay back is 480
Step-by-step explanation:
Find the scale factor where the pre-image is the large triangle and the image is the small triangle.
A. 4/5
B. 3/2.4
C. 2.4/3
D. 5/4
Answer:
Option B
Step-by-step explanation:
If the larger triangle (Preimage) is dilated by a scale factor 'k' to form the image triangle (small triangle),
Scale factor = \(\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the preimage}}\)
k = \(\frac{3}{2.4}\)
Therefore, Option B will be the correct option.