Answer:
\(-7\frac{1}{7}\)
Step-by-step explanation:
Answer:
-7 1/7
Step-by-step explanation:
PLEASE PLEASE IM BEGGING HELP ME!! Translate this sentence into an equation.
72 is the product of 4 and Gail's score.
Use the variable g to represent Gail's score.
Answer: Translate this sentence into an equation. The product of Greg's age and 6 is 102. Use the variable g to represent Greg's age.
Ans :-g*6=102
Step-by-step explanation: hope it help
PLEASE MARK Me BRAINLYEST PLEASE!!! PLEASE!!!! I REALLY Need IT PLEASE!
On a number line, suppose point E has a coordinate of 4 , and EG 9. What are the possible coordinates of point G?
Answer:
G could be 5 bc 4 is E so in order to get 9, G has to equal 5
Step-by-step explanation:
The required coordinates of point G could be 13 or -5.
Given that,
On a number line, suppose point E has a coordinate of 4 , and EG is 9. What are the possible coordinates of point G that are to be determined.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The coordinate of p[oint E on the number line is 4
There is another point on the number line that is G
EG = 9
Now point G could be on either side of Point E
Coordinate of Point G can be,
The left side of E
= 4 - 9
= -5
The right side of E
= 4 + 9
= +13
Thus, the required coordinates of point G could be 13 or -5.
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Which fraction represents the product of -5/6 times 5/6 in simplest form?
A. -1
B. -5/6
C. -25/36
D. 25/36
Answer:
-25/36
Step-by-step explanation:
-5/6 x 5/6 = -25/36
There is no way to simplify it.
You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.
Answer:
C. -25/36
Step-by-step explanation:
-5/6 x 5/6 = -25/36
There is no way to simplify it.
You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.
Hope this helps :)
the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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In the figure shown, cos P = 0.60. What is the length of PN
Answer:40 centimeter
Step-by-step explanation:
It’s hard to explain but I also had this question
The length of PN in the figure is 40 cm
How to determine the length of PN?From the complete question, we have:
PM = 24 cm
cos P = 0.60
Shape: Right triangle at M
The length PN is calculated using the following cosine ratio
cos P = PM/PN
Substitute known values
0.60 = 24/PN
Make PN the subject
PN = 24/0.60
Divide
PN = 40
Hence, the length of PN is 40 cm
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Whoever gets the answer first and its correct gets brainlist!
Answer:
No because the graph is not a straight line
Step-by-step explanation:
Since the slope isn’t constant, the graph is not linear
(True or False) ((22)3) = 25.
Answer:
22*3=66
Flase
Step-by-step explanation:
The equation ((22)3) = 25 is false.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ((22)3) = 25.
We have to check whether the left hand side is equal to right hand side.
If the LHS and RHS are equal then the equation is true.
If not then it is false.
The value in LHS is 22×3 = 66
The value in RHS is 25
66 is not equal to 25
Hence, the equation ((22)3) = 25 is a false statement.
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16. What product is represented with the following Algebra Tiles?
(2x²+6) (4x+6)
(4x + 4) (6x + 6)
(2x + 2)(2x + 3)
4x+10
The product that is represented with the algebra tiles is (2x + 2)(2x + 3)
Finding the product that is represented with the algebra tiles?From the question, we have the following parameters that can be used in our computation:
The algebra tiles
Representing the red tile with digit 1
So, we have
Vertical = 2x + 1 + 1 = 2x + 2
Horizontal = 2x + 1 + 1 + 1 = 2x + 3
The product that is represented with the algebra tiles is then calculated as
Product = Vertical * Horizontal
So, we have
Product = (2x + 2)(2x + 3)
Hence, the product is (2x + 2)(2x + 3)
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A distribution with three or more peaks is said to be
When a distribution has three or more peaks then it is said to be a multimodal distribution .
What are the types of distributions ?In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .
Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .
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If a number has a factor, then both 2 and 4 are factors?
Answer:
Step-by-step explanation:
when 2 and 4 are factors of a number then 8 will also be factor of that number. Example: let's take the number 8 here 2,4 and 8 are factors of the number.
A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.
Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =
Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.
Step 1: Calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
For 189.7:
z1 = (189.7 - 189.7) / 96.7 = 0
For 213:
z2 = (213 - 189.7) / 96.7 ≈ 0.2417
Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.
P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939
Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.
To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance
Step 1: Calculate the standard error of the mean (σ_m) using the formula:
σ_m = σ / sqrt(n)
σ_m = 96.7 / sqrt(62) ≈ 12.2878
Step 2: Convert the given qualities to z-scores utilizing the equation:
z = (x - μ) / σ_m
For 189.7:
z1 = (189.7 - 189.7) / 12.2878 = 0
For 213:
z2 = (213 - 189.7) / 12.2878 ≈ 1.8967
Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.
P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702
Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
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Sally started with $100 and is saving for a new Uggs. The first month she had $124, the next month $148, and by the third month she had $172 saved. Write an explicit rule to represent how much she saves each month.
An = 100n + 24
An = 24n + 124
An = 124n + 24
An = 24n + 100
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
How is the sentence "six more than x is nine" written as an equation?
O A. 6 = x + 9
Answer: the answer is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
x+6=9
so C
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Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept? Question 2 options: y = –2x + 5 slope = –2 y-intercept = 5 y = 4x + 5 slope = 4 y-intercept = 5 y = 2x + 4 slope = 2 y-intercept = 4 y = –4x + 5 slope = –4 y-intercept = 5
the answer should be : y=-2x+5
After a five-eighths increase of her current hourly wage, a woman receives a new hourly wage of $1984. How much was her hourly wage before the increase?
The hourly wage before the increase was $
(Round to the nearest cent as needed
4(1/1.
8 (1/1
12 (1/
16 (1/1
20 (1/1
24 (0/1
28 (0/1
32 (0/1
15°C Sunny
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ACL IS VivoBook
What is the domain of the inverse function of f(x) =x³?
Which expressions are equivalent to the given expression? sqrt40
4sqrt10
160 1/2
40 1/2
2sqrt10
5sqrt8
Answer:
\(2 \: sqrt \: 10.\)
Step-by-step explanation:
\(sqrt \: 40 = \sqrt{40} = \sqrt{4 \times 10} = \\ \sqrt{4} \times \sqrt{10} = 2 \times \sqrt{10} = \\ 2 \sqrt{10} = \\2 \: sqrt \: 10\)
♨Rage♨
\(2\sqrt{10}\) expression is equivalent to the given expression \(\sqrt{40}\).
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Given expression
\(\sqrt{40}\)
We can write it into \(\sqrt{4 .(10)}\)
= \(\sqrt{4}.\sqrt{10}\)
= \(2\sqrt{10}\)
Hence, \(2\sqrt{10}\) expression is equivalent to the given expression \(\sqrt{40}\).
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Find the length of the third side. If necessary, round to the nearest tenth. 8 12
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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Given the geometric sequence an with the following information, find a7.
To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.
From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.
To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.
We can use the formula for the nth term of a geometric sequence:
An = A1 * r^(n-1)
In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.
Since we know A3 and the common ratio, we can substitute these values into the formula:
60 =\(A1 * (160/60)^(3-1)\)
Simplifying this equation, we have:
\(60 = A1 * (8/3)^260 = A1 * (64/9)\)
To isolate A1, we divide both sides of the equation by (64/9):
A1 = 60 / (64/9)
Simplifying further, we have:
A1 = 540/64 = 67.5/8.
Therefore, the first term of the sequence (A1) is 67.5/8.
Now that we know A1 and the common ratio, we can find Az using the formula:
Az = A1 * r^(z-1)
Substituting the values, we have:
Az =\((67.5/8) * (160/60)^(z-1)\)
However, we now have the formula to calculate it once we know the position z in the sequence.
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A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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4. Which pair of trig functions are equivalent?
sin 23, sin 67
COS 41, sin 41
cos 58, sin 122
cos 76, sin 14
The pair of trigonometric functions that are equivalent is cos76°, sin14°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know sin(π/2 - Ф) = cosФ and cos(π/2 - Ф) = sinФ.
sin23° = cos(90° - 23°) = cos67°.
cos41° ≠ sin41°.
cos58° = cos(180° - 58°) = cos122°.
cos76° = sin(90° - 76°) = sin14°.
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If you get paid $23 per hour, how much money will you make in 12 hours?
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
A sample of size 39 will be drawn from a population with mean 23 and standard
deviation 10. Find the probability that will be greater than 25.
The probability that X will be greater than 25 is 0.42
Given,
The sample size, n = 39
The mean of the population, μ = 23
The standard deviation of the population, σ = 10
We have to find the probability for X > 25.
Here,
Z score = (X - μ) / σ
Z score = (X - 23) / 10
Now,
We have to find P(X > 25)
Then,
P(X > 25) = P(z > (25 - 23) / 10)
P(X > 25) = P(z > 2/10)
That is,
P(X > 25) = P(z > 0.2)
Here,
0.5 - P(0 ≤ z ≤ 0.2)
= (0.5 - 0.0792)
= 0.42
Therefore,
The probability that X will be greater than 25 is 0.42
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A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.
Jeff works in a factory that makes car parts. Jeff can make 7 car parts every twenty minutes. Jeff will start work at ten o’clock in the morning and not stop working until he has made a total of 56 car parts. At what time will Jeff have made a total of 56 car parts?
Answer:
5:00
Step-by-step explanation:
If the number of parts made increases by 7 every hour and Jeff starts at 10:00, then
10:00 - 7 pts
11:00 - 14 pts
12:00 - 21 pts
1:00 - 28 pts
2:00 - 35 pts
3:00 - 42 pts
4:00 - 49 pts
5:00 - 56 pts
The initial population of a bacterial culture is 2000, growing at a fixed rate. Table shows the population every hour for six hours.
A. Find the equation that models this relation. (round to one decimal place).
B. Use the equation to find the population of bacteria after 12 hours after 24 hours.
Answer: A. To find the equation that models this relation, we can plot the data and look for a trend.
From the graph, we can see that the data follows an exponential growth pattern. The equation for exponential growth is:
y = ab^x
where y is the final population, a is the initial population, b is the growth rate, and x is the time in hours.
Using the data from the table, we can find the value of b:
b = y/x
where y is the population after x hours.
For example, after 2 hours, the population is 5000:
b = 5000/2 = 2500
We can repeat this process for each time period and find the average value of b:
b = (2500 + 3125 + 3906.25 + 4882.81 + 6103.51 + 7629.38) / 6 = 4275.5
Now that we have the value of b, we can find the equation that models the relation:
y = 2000(4275.5)^x
Rounding to one decimal place:
y = 2000(4.3)^x
B. Using the equation, we can find the population after 12 and 24 hours:
y = 2000(4.3)^12 ≈ 8,898,335.7
y = 2000(4.3)^24 ≈ 7.42 x 10^13
Step-by-step explanation: