Answer:
2
Step-by-step explanation:
\(2^1=2\)
Any number to the power of 1 equals the number itself
Answer:
2
Step-by-step explanation:
2 ^1 is the same as saying multiplying 2 one time. 1x2 =2. Another example would be 2^2. You would multiply 2 by 2 twice, so two 2s.
-6 x 10^-1 divided by -3 x 10^-2?
Answer:
-6 x 10^-1 divided by -3 x 10^-2 = 0.002
What is the answer to this: 12= 4+x/2
Answer:
16
Step-by-step explanation:
Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
classify the following triangle. check all that apply. A: Acute B: Right C: Obtuse D: Equilateral E: Scalene F: Isosceles
Answer:
Step-by-step explanation:
Acute : An acute triangle is one in which all the angles less than 90 degree.
Right: Any triangle whose one angle measure is 90 degrees is called Right angled triangle.
Obtuse angle: Any triangle whose one angle measures more than 90 degrees is called Obtuse angled triangle.
Equilateral : Any triangle whose all the sides are equal are called equilateral triangle. They also have all the angle equal which measures 60 degrees.
Scalene triangle : The triangle whose length of all the sides are different from each other are called scalene triangle.
Isosceles : the triangle whose two sides length are equal are called Isosceles triangle.
Answer:
B,A
Step-by-step explanation:
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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The speed limit on a road is 55 miles per hour. What is the speed limit in kilometers per hour
If the speed limit on a road is 55 miles per hour then the speed limit in kilometers per hour is 89 kmph .
In the question ,
it is given that
the speed limit in miles per hour is 55 .
given the speed is 55mph,
time = 1 hr
distance travelled in hr = 55*1 = 55 miles
we know that 1 mile = 1.60934 km .
so 55 miles = 55*1.60934 km
= 88.5137
≈89
distance = 89 km
time = 1 hr
So speed = distance/time
= 89/1
= 89
Therefore , If the speed limit on a road is 55 miles per hour then the speed limit in kilometers per hour is 89 kmph .
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what is the answer for this
Answer: The highlighted digit 8 is in the tens place. The value of the 8 is 80
Step-by-step explanation:
The value of the 8 is 80 becuse it is in the tens place.
Dylan created a hemisphere model for his class science project.The diameter to the model was 12.2ft.What is the volume of model?
Semisphere area is found by
Volume V = (1/2)•(4/3)• (π•r^3)
Diameter of the mode is
D = 2•r = 12.2 ft
Then
r= 12.2/2 = 6.1 ft
Then now find V
V = (4/6) •(π• (6.1^3) = (4/6)•π•( 226.981)
V= 151.3207 • π= 475.38 cubic feets
THEN ANSWER IS
OPTION C) 475.4 ft^3
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
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How many solutions exist for |1/2x + 1| = 5?
There are two solutions for the equation |1/2x + 1| = 5: x = 8 and x = -12.
To determine the number of solutions for the equation |1/2x + 1| = 5, we need to consider the possible cases based on the absolute value expression.
Case 1: 1/2x + 1 = 5
In this case, we isolate the absolute value expression by subtracting 1 from both sides:
1/2x = 4
To solve for x, we multiply both sides by 2:
x = 8
This is one solution.
Case 2: 1/2x + 1 = -5
In this case, we isolate the absolute value expression by subtracting 1 from both sides:
1/2x = -6
To solve for x, we multiply both sides by 2:
x = -12
This is another solution.
Therefore, we have found two solutions for the equation |1/2x + 1| = 5: x = 8 and x = -12.
It's important to note that the absolute value function |1/2x + 1| can be equal to 5 for both positive and negative values of x, resulting in two solutions.
The absolute value function yields the positive magnitude of the expression inside the absolute value bars, so we consider both positive and negative solutions.
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Which two estimates is the quotient 345÷8 between
Need help I need to do this right now!
Answer: Okay, well first lets find the quotient 345 ÷ 8:
It is 43. 125, but we're going to simplify it to 43
Now this is the really easy part, so lets find a number greater than 43, which would be 44.
Now that we have that, we need to find a decimal that's lower than 43, which would be 42.
So our numbers would be 44 and 42.
Step-by-step explanation:
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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What is the area of the shape ?
Answer:
The Picture is of a trapezium
Area of Trapezium= 1/2h(L1+L2)
=1/2×7(11+3)
=49
Hence the area of the shape is 49
Graph: Y + 2 =- * (x+4)
Answer:
Step-by-step explanation:
Help me out pleaseeeeeeeeeee
Answer:
1 Bag
Step-by-step explanation:
convert 1/5 & 11/12 to the common denominator of 60
1/5 = 12/60 11/12 = 55/60
12/60 + 55/60 = 67/60 so therefore Mia has used one bag in a day
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0022 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α=0.05 level of significance?
Answer:
The answer is "yes".
Step-by-step explanation:
Given:
\(n= 25\\\\s = 0.0025\\\\\sigma_{0}= 0.005\\\\\alpha=0.01\\\\\)
Claim:
\(\sigma < 0.42\)
Its assertion is the null presumption or the alternative. The hypothesis should include the equal value of the claim. If indeed the claim is indeed the null assumption, the alternative hypothesis is indeed the opposite.
\(H_o: \sigma =0.42\\\\H_1 : \sigma<0.42\)
Calculating the test statistic:
\(X^2=\frac{n-1}{\sigma_{0}^2} s^2=\frac{25-1}{0.005^2} \times 0.0025^2 \approx 6\)
The key value of the left-tails test is shown in the row \(df = n -1=25-1 = 24\) and the column with \(1 -\alpha = 0.99\) in an appendix, from the chi-square table:
\(X_{1-\alpha}^{2}= 10.856\)
All values are smaller than 10.856 in the reject region.
Unless the test statistic is in the refusal region, this same null hypothesis is rejected:
\(6 < 10.856 \to Reject \ H_{0}\)
Its claim that perhaps the recalibration is efficient is demonstrated by sufficient evidence.
In 2020, you purchase a car for $8000. The value of the car depreciates by 4% each year. What will the approximate value of the car be in 2027? *
Answer:
Step-by-step explanation:
select the correct answer.
What is the value of this expression when c= -4 and d = 10?
1(3+2)
ОА.
2
ОВ.
B. 9
C. 21
D 41
Hey there!
To answer this question you have to plug in your values and do PEMDAS.
PEMDAS simply means
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
WE CAN ANSWER THE EQUATION
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(-64 + 100)
= 1/4(-64) + 1/4(100)
= -16 + 25
= 9
OR
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(36)
= 9
Therefore, your answer is: 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the answer to 5a-1 when a=1/3
Answer:
.65
Step-by-step explanation:
Which graph represents x > 23
A. 23 To the right
B. 23 to the left
In a number line?
Answer:
eStep-by-step explanation:
express 2 cos 35 sin 67 as a sum
2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).
To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.
Specifically, the identity states that 2 cos A sin B can be written as
sin(A + B) + sin(A - B).
Applying this identity, we have:
2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)
Simplifying the expressions inside the sine functions:
sin(102) + sin(-32)
Since the sine function is an odd function,
sin(-x) = -sin(x),
so we can rewrite the equation as:
sin(102) - sin(32)
Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).
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question in the picture
1) Brianna's average monthly income is $1,850.
2) Brianna's average monthly expenses are $3,135.
3) Brianna's total monthly cash flow is -$1,295.
What is the cash flow?The cash flow refers to the cash inflows and cash outflows.
Cash inflows are incomes while cash outflows are expenses.
Brianna's Monthly Budget:Monthly Rent = $700
Gas = $120
Car Insurance = $75
Health Insurance = $140
Renter's Insurance = $25
Cell phone = $110
Utilities = $100
Groceries = $300
Entertainment/eating out = $250
Total monthly expenses = $1,820
= $21,840 ($1,820 x 12)
Annual Expenses:College = $12,000
Gifts = $1,000
Vacations = $1,500
Clothes = $800
Charity =$600
Total monthly expenses = $21,840
Total annual expenses = $37,740
Average monthly expenses = $3,135 ($37,740 ÷ 12)
Monthly Income = $1,600
Yearly Income = $ 19,200 ($1,600 x 12)
Annual Scholarship = $3,000
Total annual income = $22,200
Average monthly income = $1,850 ($22,200 ÷ 12)
Cash Flows:Average monthly income = $1,850
Average monthly expenses = $3,135
Cash flows = -$1,295 ($1,850 - $3,135)
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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Solve for x
-22.3=x/3 -3.1
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
Which is a solution to the inequality y > 2 + 9x? Select all that apply.
Answer:
Select any point in the red part of the graph
Step-by-step explanation:
y > 2 + 9x
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.
To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we are given two points on the line: (5,5) and (-5,5).
The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.
The change in x-coordinates is -5 - 5 = -10.
Substituting these values into the slope formula, we get:
slope = 0 / -10 = 0
Therefore, the slope of the line that represents this relationship is 0.
A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.
Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.
It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.
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If c = 5, what is the value of 9 + c?
Answer:
The value of 9 + c= 14 because 9 + 5=14
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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