Answer:
x = 7
Explanation
From the given diagram, the length of the segment on both sides are equal since the radius projecting from the centre of the circle and bisecting them are also equal. Hence;
6x - 7 = 35
Add 7 to both sides
6x-7+7 = 35+7
6x = 42
Divide both sides by 6
6x/6 = 42/6
x = 7
Hence the va;ue of x is 7
500 - 20x ≥ 200 I need help
Answer:
x \(\leq\) 15
Step-by-step explanation:
2/10 x 1/9 = 2/90 = 1/?
Answer: 2/90 = 1/45
Step-by-step explanation:
what is 9×3 (im 7) please help me
Answer: 9 x 3 = 27
Step-by-step explanation: It's basically just 9 + 9 + 9!
Answer: 27
Step-by-step explanation:
9 + 9 + 9 = 27
or
Use a calculator
Can you help please on this
Answer:
5
Step-by-step explanation:
Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.
The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.
Let l be the length and w be the width of the rectangular garden.
We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.
The perimeter of the rectangular garden = 300 meters
We know that the perimeter of the rectangle =2(length + width)
300 = 2(l + w)
l + w = 150 .......(1)
Now, the maximum area of a rectangular garden is when Length = width
So, for equation 1
l + l = 150
l = 75 meters
So, w = 75 meters
And the area of the rectangular garden = length * width
= 75 * 75
= 5625 m²
So the maximum area of the rectangular garden is 5625 m²
Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is 5625 m²
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If you want to save your total contribution for all 4 years before you start attending college, how much do you need to save each month if you have 4 years to accomplish your goal?
The solution is:
If my parents are going to pay the 5%, then, they will pay: $2979.
I will need to save $62.06 each month to accomplish my goal.
Here,
I'm going to a 4-year college that will cost $14895/year.
It means that I will need to pay: 14895*4 = $59.580
If my parents are going to pay the 5%, then, they will pay: $2979.
Now, if I want to save my total contribution for all four years, and I have four years to accomplish the goal, then:
Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.
Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.
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complete question:
You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.
How much do you need to pay for each year of attending?
If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?
not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
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Do y’all know what this one is I’m kinda struggling
Answer:
A. 2^20/3^8
Step-by-step explanation:
Hope this helped, have a good day <3
Answer:
2 20
3 8
Step-by-step explanation:
you times the exponent on the inside to the exponent on the outside
write the equation of the line that passes through the points (-3,4) and (-4,2). Write the final answer in slope intecept form
Answer:
The equation in the slope-intercept form will be:
\(y=2x+10\)
Step-by-step explanation:
Given the points
(-3, 4)(-4, 2)Finding the slope between two points
\(\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-4,\:2\right)\)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{2-4}{-4-\left(-3\right)}\)
\(m=2\)
As the point-slope form of the line equation is
\(y-y_1=m\left(x-x_1\right)\)
putting the values m=2 and the point (-3, 4)
\(y-4=2\left(x-\left(-3\right)\right)\)
\(y-4=2\left(x+3\right)\)
Writing the equation in slope-intercept form
\(y=mx+b\)
where m is the slope, and b is the y-intercept
so the equation becomes
\(y-4=2\left(x+3\right)\)
add 4 to both sides
\(y-4+4=2\left(x+3\right)+4\)
\(y=2x+10\)
Therefore, the equation in the slope-intercept form will be:
\(y=2x+10\)
A recent survey found that more than 21 million people between the ages of 12 and 17 use the Internet. Of those, about 16 million said they use the Internet at school. How many teens that are online do not use the Internet at school?
5 million teenagers do not use the internet at school.
How to calculate the number of adolescents who do not use the internet at school?
To know the number of adolescents who do not use the Internet at school, we must do the following operations:
Subtract the number of students who do use the internet at school from the total number of teenagers as shown below:21 million - 17 million = 5 million
According to the above, it can be inferred that the number of adolescents who use the Internet outside of school is 5 million.
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
HELPPPPPPPPPPPP!!!!!!!!!!!!!
Answer: 6.86 × 10^12
Step-by-step explanation: click link to see answer
https://www.calculatorsoup.com/calculators/math/scientificnotation.php?operand_1=9.8%2A10%5E7&operator=multiply&operand_2=7.0%2A10%5E4&action=solve
Answer:
6.86 × 10^12
Step-by-step explanation:
A tissue box in the shape of a rectangular prism has a surface area of 158 square inches . The width is 5 inches and the height is 3 inches . What is the length of the tissue box ?
Answer Choices - A. 8.0
B. 8.5
C. 9.0
D . 10.5
Answer:
A. 8.0 inches
you will have to use the formula A= 2(LW + LH + WL)
I NEED HELP CLICK HERE PLEASE
Answer:
A- II
B- I
C- III
D- IV
Step-by-step explanation:
i really need help on this 7th grade math!! if you help me ill give u a brainly
Answer:
y=1x+1
Step-by-step explanation:
plz give me a brainliest
Answer:
1
Step-by-step explanation:
m= (y2 - y1)/(x2 - x1)
Take two points
(-1, 0) (0, 1)
x1 y1 x2 y2
formula
1-0 / 0 - -1
= 1/1
Gradient = 1
Solve x2 = −169 im not that good at math
Answer:
Hi there
Your answer is:
13i
Step-by-step explanation:
Find the square root of √-169
We do i as coefficient to get rid of negatives
√169 is 13
Hope this helps
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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Click on the measurement of the angle.
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 7.
While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 95.9%.
(Report answer accurate to three decimal places with appropriate rounding.)
ta/2 = ±
The critical value that corresponds to a confidence interval of 95.9% is 1.99.
The distribution of the sample mean will be roughly normally distributed, according to the Central Limit Theorem, if we have an unknown population with a mean and standard deviation and adequately small random samples (n < 30) are chosen from the population with replacement.
Then, the mean of the sample means is given by,
μ(x) = μ
And the standard deviation of the sample means is given by,
σ = σ / \(\sqrt{n}\)
In this case the sample selected is of size, n = 7.
As the sample size n = 7 < 30, the sampling distribution of sample mean will be approximately normal.
So, a z-interval will be used to estimate the population mean.
The confidence level is, 95.9%.
The value of α is:
∝ = 1 - confidence level
∝ = 1 - 0.959
∝ = 0.041
The critical value is:
\(z_{\frac{∝ }{2} }\) = \(z_{\frac{0.041}{2} }\)
\(z_{\frac{∝ }{2} }\) = \(z_{0.0205}\)
\(z_{\frac{∝ }{2} }\) = -1.99
\(z_{1-∝/2}\) = 1.99
Use a z-table.
Therefore,
The critical value that corresponds to a confidence interval of 95.9% is 1.99.
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{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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Justin went for a drive in his new car. He drive for 2 hours at a speed of 26.6 miles per hour. For how many miles did he drive.
Answer:
53.2 Miles
you just need to multiply the speed hes going at times how many hours he drove. :D
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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Help plz:)))I’ll mark u Brainliest
Answer:
The measurement of the angle is 74.65
Step-by-step explanation:
We have the adjacent and hypoteneuse; the trig function will be cosine
\(cos^{-1}(\frac{9}{34})\\\\=74.650\)
Answer:
75°
Step-by-step explanation:
cos x = \(\frac{9}{34}\)
cos x = 0.2647
cos\(^{-1}\) ≈ 74.65
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
Share an example of how pascal's triangle is used for binomial expansion. discuss the steps in your binomial expansion example and how it relates to pascal's triangle.
The final answer is (a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴.
Pascal's Triangle is a useful tool in expanding binomial expressions, which is a fundamental concept in algebra. For example, let's expand (a+b)⁴ using Pascal's Triangle.
Step 1: Write out Pascal's Triangle to the 4th row, as follows:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Step 2: Write out the coefficients in the binomial expression (a+b)⁴:
(a+b)⁴ = 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴
Step 3: Substitute the coefficients from Pascal's Triangle into the binomial expression:
(a+b)⁴ = 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴
= 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴
= 1(a⁴) + 4(a³b) + 6(a²b²) + 4(ab³) + 1(b⁴)
= (1)(a⁴) + (4)(a³)(b) + (6)(a²)(b²) + (4)(a)(b³) + (1)(b⁴)
Step 4: Simplify the expression to get the final answer:
(a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
Notice how the coefficients of each term in the expanded expression (1, 4, 6, 4, 1) correspond to the fourth row of Pascal's Triangle. Pascal's Triangle provides a quick and easy way to determine the coefficients of a binomial expansion for a given power of the binomial expression.
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Morgan makes and sells bread at a local market. Her
expenses include a fee of $30 per day for a sales booth, and ingredients
cost $0.80 per loaf of bread. On Tuesday, Morgan sold x loaves of bread
for $3.00 each and made a profit of $58.00. Which equation could she use
to determine how many loaves of bread she sold?
0.80X-30=58
The equation that could she use to determine how many loaves of bread she sold is 0.80x - 30 = 58.
Calculation of the equation:
Since
Her expenses include a fee of $30 per day for a sales booth, and ingredients cost $0.80 per loaf of bread.
And, Morgan sold x loaves of bread for $3.00 each and made a profit of $58.00.
So here the equation be like 0.80x - 30 = 58.
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Solve 5x^2-2x-1=4x to the nearest tenth
The solutions to the nearest tenth are x = -0.1 and x = 1.3
Solving the equation to the nearest tenthFrom the question, we have the following parameters that can be used in our computation:
5x² - 2x - 1 = 4x
Evaluate the like terms
So, we have
5x² - 6x - 1 = 0
Next, we solve using a graph
The graph of 5x² - 6x - 1 = 0 is added as an attachment
From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3
This means that the solutions are x = -0.1 and x = 1.3
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Answer:
The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.
Step-by-step explanation:
To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.
5x^2-2x-1=4x
5x^2-6x-1=0
Next, we can use the quadratic formula to solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 5, b = -6, and c = -1.
Plugging these values into the formula gives:
x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)
x = (6 ± sqrt(56)) / 10
x ≈ 1.3 or x ≈ -0.4Need help with this tricky image