Answers
Answer:
D
Step-by-step explanation:
m<A = 15°; m<B = 120°
m<A + m<B + m<C = 180°
15° + 120° + m<C = 180°
m<C = 45°
m<A = 15°; m<B = 120°; m<C = 45°
The answer is the choice that has two of the three angle measures above.
Answer: D
Related Questions
find the distance between the points
(-8,-6) and (4, 10)
Answers
Answer:
d=20
Step-by-step explanation:
To find the distance between 2 points we use the distance formula
d = √(x2 - x1)²+(y2 - y1)²
The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).
Substitute the given points into the distance formula.
d = √(4 + 8)²+(10 +6)²
d = √144+252
d= √400
d = 20
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1400 and her stock in Company B was worth $7100. The stock in Company A has decreased 5% since last year and the stock in Company B has decreased 9%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
Total decrease as a percentage 12.4%
Step-by-step explanation:
Please find the attachment for detail
What integer represents the total charge of 7 electrons?
Answers
the integer that represents the total charge of 7 electrons is -1.The total charge of electrons is given by the formula:
total charge = number of electrons x charge of each electron
what are electrons ?
Electrons are subatomic particles that carry a negative electric charge. They are one of the fundamental particles that make up atoms, along with protons and neutrons. Electrons are found in shells or energy levels that surround the atomic nucleus
In the given question,
The total charge of electrons is given by the formula:
total charge = number of electrons x charge of each electron
The charge of an electron is a fundamental constant, which is equal to -1.602 x 10⁻¹⁹ Coulombs. Therefore, the total charge of 7 electrons can be calculated as:
total charge = 7 x (-1.602 x 10⁻¹⁹) C
total charge = -1.1214 x 10⁻¹⁸ C
Note that the charge of an electron is negative because it has an opposite charge to the positively charged protons in an atom. Therefore, the total charge of 7 electrons is also negative. To express this charge as an integer, we need to convert it to scientific notation and round to the nearest whole number. Rounding to the nearest whole number gives:
total charge = -1 x 10⁻¹⁸ C
Therefore, the integer that represents the total charge of 7 electrons is -1.
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Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2 hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?
Answers
Step-by-step explanation:
The total bill will be the sum of the rent and the cost for the total time spent.
$15 + $6 * 2.5
$15 + $15
$30
what is the fractions that are multiples of 1/6
Answers
Answer:
1/31/2those would be the only onesA square has a side of length √250 + √48. Find the perimeter and the area of square
Answers
The perimeter of the square is 20√10. The area of the square is 298 + 40√30.
The perimeter of a square is the sum of all its four sides. In a square, all sides are equal in length. So, to find the perimeter, we can multiply the length of one side by 4.
Given that the side length is √250 + √48, we can calculate the perimeter as follows:
Perimeter = \(4 * (\sqrt250 + \sqrt48)\)
To simplify further, we need to simplify the individual square roots. √250 can be simplified as √(25 * 10), which equals 5√10. Similarly, √48 can be simplified as √(16 * 3), which equals 4√3.
Substituting these simplified values, we get:
Perimeter = \(4 * (5\sqrt10 + 4\sqrt3)\)
Now, we can distribute the 4 and simplify:
Perimeter = 20√10 + 16√3
Therefore, the perimeter of the square is 20√10 + 16√3.
Area of a square:
The area of a square is found by multiplying the length of one side by itself. In this case, the side length is (√250 + √48).
Area = (√250 + √48)^2
Expanding the square, we get:
Area = \((\sqrt250)^2 + 2(\sqrt250)(\sqrt48) + (\sqrt48)^2\)
Simplifying further, we have:
Area = \(250 + 2(\sqrt250)(\sqrt48) + 48\)
Since (√250)(√48) can be simplified as √(250 * 48), which is √12000, we get:
Area = \(250 + 2(\sqrt12000) + 48\)
Now, we simplify √12000 as √(400 * 30), which is 20√30:
Area = 250 + 2(20√30) + 4
Finally, we can simplify:
Area = 298 + 40√30
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The cost of 3 pairs of shoes is $65.27. At this price, how much do 5 pairs of shoes cost?
Answers
The cost of 5 pairs of shoes is 108.78 dollars.
How to find the cost of 5 pair of shoes?The cost of 3 pairs of shoes is $65.27. At this price, the cost of 5 pairs of shoes can be calculated as follows:
Let's find the cost of each pair of shoes before we can get the cost of 5 pairs of shoes.
Therefore,
3 pairs of shoe = 65.27 dollars
1 pair of shoes = ?
cross multiply
cost of each pair = 65.27 / 3
cost of each pair = 21.76 dollars
Therefore, the cost of 5 pairs of shoes can be found as follows:
cost of 5 pairs of shoes = 21.76 × 5
cost of 5 pairs of shoes = 108.783333333
Therefore,
cost of 5 pairs of shoes = 108.78 dollars
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b) Examine the uniform convergence of the sequence \( f_{n}(x)=e^{-n x} \) on \( I=[0, \infty) \). 1
Answers
The sequence\(f_n(x) = e^{-nx}\) does not converge uniformly to the limit function\(f(x) = 0\) on the interval \(I = [0, \infty)\).
To examine the uniform convergence of the sequence\(f_n(x) = e^{-nx}\) on the interval\(I = [0, \infty)\), we need to check if the sequence converges uniformly to a limit function on that interval.
For uniform convergence, we need the following condition to hold:
Given any\(\(\epsilon > 0\\)), there exists an \(\(N \in \mathbb{N}\\)) such that for all \(n > N\) and for all \(x \in I\), we have\(\(\left| f_n(x) - f(x) \right| < \epsilon\)\), where \(\(f(x)\)\) is the limit function.
Let's find the limit function\(\(f(x)\\)) of the sequence \(f_n(x) = e^{-nx}\) as \(n\) approaches infinity. Taking the limit as \(\(n\)\)goes to infinity
\(\[f(x) = \lim_{n \to \infty} e^{-nx}\]\)
We can rewrite this limit using the exponential function property:
\(\[f(x) = \exp\left(\lim_{n \to \infty} -nx\right)\]\)
Since the limit inside the exponential is\(\(-\infty\)\) as \(\(n\)\) goes to infinity, we have:
\[f(x) = \exp(-\infty) = 0\]
Therefore, the limit function \(f(x)\) is the constant function\(\(f(x) = 0\\)) on the interval \(I = [0, \infty)\).
To check for uniform convergence, we need to evaluate the difference \(\left| f_n(x) - f(x) \right|\) and see if it is less than any given \(\epsilon > 0\) for all \(n > N\) and for all \(x \in I\).
\(\[\left| e^{-nx} - 0 \right| = e^{-nx}\]\)
To make this expression less than\(\(\epsilon\),\) we need to find an \(N\) such that \(e^{-nx} \(< \epsilon\)\) for all\(n > N\) and for all\(\(x \in I\).\)
However, as \(\(x\)\) approaches infinity, \(e^{-nx}\) approaches 0. But for any finite \\((x\)\) in the interval \([0, \infty)\), \(e^{-nx}\) will always be positive and never exactly equal to 0. This means we cannot find an\(\(N\)\)that satisfies the condition for uniform convergence.
Therefore, the sequence\(f_n(x) = e^{-nx}\) does not converge uniformly to the limit function \(f(x) = 0\) on the interval \(I = [0, \infty)\).
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find vectors that form a basis for the null space of the following matrix: a = 1 2 3 2 4 6 3 6 9
Answers
Therefore, a vector that forms a basis for the null space of matrix A is: [-2, 1, 0].
To find vectors that form a basis for the null space of matrix A, we need to solve the equation Ax = 0, where x is a vector of unknowns.
Given matrix A:
A = [1 2 3
2 4 6
3 6 9]
We can set up the augmented matrix [A|0] and row reduce it to find the solutions:
[1 2 3 | 0
2 4 6 | 0
3 6 9 | 0]
R2 = R2 - 2R1
R3 = R3 - 3R1
[1 2 3 | 0
0 0 0 | 0
0 0 0 | 0]
We can see that the second and third rows are redundant and can be eliminated. We are left with:
x + 2y + 3z = 0
We can express the solutions in terms of free variables. Let's set y = 1 and z = 0:
x + 2(1) + 3(0) = 0
x + 2 = 0
x = -2
The solution is x = -2, y = 1, z = 0.
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A flow meter is attached in a hydraulic line that measures 18 gal/min. The line has an inside diameter of 1.0 in. What is the flow velocity measured as in/min at the meter? (1 gallon = 231 in3)
in/min
Answers
The flow velocity measured as in/min at the meter is 5924.13 in/min
Volumetric flow rateWe know that the volume flow rate Q = Av where
A = cross-sectional area of pipe and v = flow velocityNow, Q = 18 gal/min
Converting this to in³/min, we have
Q = 18 gal/min = 18 × 1 gal/min = 18 × 231 in³/min = 4158 in³/min
A = πd²/4 where d = diameter of pipe = 1.0 in.
Flow velocity, vSince Q = Av, making v subject of the formula, we have
v = Q/A
v = 4Q/πd²
Substituting the values of the variables into the equation, we have
v = 4Q/πd²
v = 4 × 4158 in³/min ÷ π × (1.0 in)²
v = 16632 in/min ÷ π
v = 5924.13 in/min
So, the flow velocity measured as in/min at the meter is 5924.13 in/min
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K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm
Answers
Answer:
2(3×2)+2(3×1.5)+2(1.5×3)
Step-by-step explanation:
12+9+9
30
Answer:
30cm square
Step-by-step explanation:
2(3×2)+2(3×1.5)+2(1.5×3)
2[3×2+3×1.5+1.5×3]
2(6+4.5+4.5)
2×15
30
In the above figure, m∠A = 30° and m∠B = (2x + 10)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 55, m∠B = 60°
B.
x = 25, m∠B = 60°
C.
x = 70, m∠B = 150°
D.
x = 25, m∠B = 50°
Answers
Answer:
Step-by-step explanation:
option B
Complementary angles add up to 90°
m∠A + m∠B = 90
30 + 2x + 10 = 90
2x + 40 = 90
To find the value of x, we have to isolate x. To isolate x, first we have subtract 40 from both sides.
2x = 90 -40
2x = 50
Now, divide both sides by 2
x = 50/2
x = 25°
∠B = 2x + 10
= 2*25 + 10
= 50 + 10
∠B = 60°
Which of the following is equal to the expression below? (6^-8)^4A.-6^4B.1/6^4C.1/6^32D.-6^32
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
(6^-8)^4
Step 02:
We must apply the algebraic rules to find the solution.
\(6^{(-8)\cdot(4)\text{ }}=6^{(-32)}=\frac{1}{6}^{32}\)The answer is:
1/6 ^ 32
The 5 owners of Mei's Restaurant remodeled their business. They bought 6 tables, 48 chairs, and 4 crystal light fixtures. The cost of these purchases was divided equally among the owners. Excluding tax, how much did each owner pay?
Answers
Answer:
$391.2 per owner
Step-by-step explanation:
find the total price of the items and divide it by five
which answer shows 4^-2=1/16 in logarithmic form
Answers
Answer:
log4 (116)=−2
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base (4)(4) of the right side (116)(116) equalsthe exponent (−2)(-2).
Find the root of the equation e⁻ˣ^² − x³ =0 using Newton-Raphson algorithm. Perform three iterations from the starting point x0 = 1. (3 grading points). Estimate the error. (1 grading point). 4. Under the same conditions, which method has faster convergence? (2 points) Bisection Newton-Raphson
Answers
The root of the equation e^(-x^2) - x^3 = 0, using the Newton-Raphson algorithm with three iterations from the starting point x0 = 1, is approximately x ≈ 0.908.
To find the root of the equation using the Newton-Raphson algorithm, we start with an initial guess x0 = 1 and perform three iterations. In each iteration, we use the formula:
xᵢ₊₁ = xᵢ - (f(xᵢ) / f'(xᵢ))
where f(x) = e^(-x^2) - x^3 and f'(x) is the derivative of f(x). We repeat this process until we reach the desired accuracy or convergence.
After performing the calculations for three iterations, we find that x ≈ 0.908 is a root of the equation. The algorithm refines the initial guess by using the function and its derivative to iteratively approach the actual root.
To estimate the error in the Newton-Raphson method, we can use the formula:
ε ≈ |xₙ - xₙ₋₁|
where xₙ is the approximation after n iterations and xₙ₋₁ is the previous approximation. In this case, since we have performed three iterations, we can calculate the error as:
ε ≈ |x₃ - x₂|
This will give us an estimate of the difference between the last two approximations and indicate the accuracy of the final result.
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A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7
Answers
The bug changes direction at t = 4. This can be answered by the concept of velocity.
To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.
To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.
Therefore, the bug changes direction at t = 4.
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The main rotor of a helicopter is spinning at a constant rate. The rotor makes 80 revolutions every 12 seconds. At what rate, in revolutions per minute, is the rotor spinning?
Answers
Answer:
B/16
Step-by-step explanation:
if the rotor is spinning 80 reveloutions every 12 seconds and, a minute is 60 seconds
12 divided by 60 = 0.2
0.2 times 80 = 16.
hope this helped
Part of a table showing the amount of money in Rafael's bank account is given below. The account pays simple interest. He deposited an amount of money at the start and hasn't added or removed any since. a) Work out how much money Rafael deposited in the account. b) Work out the annual interest rate on this account. Give your answer as a percentage (%) to 1 d.p. After 5 years After 6 years £1690.50 £1752.60
Answers
a. Rafael deposited £62.10 in the account at the start.
b. The annual interest rate on Rafael's account is approximately 3.66%.
a) To calculate how much money Rafael deposited in the account, we need to find the difference between the two amounts.
Amount after 6 years - Amount after 5 years = £1752.60 - £1690.50 = £62.10
b) To work out the annual interest rate on the account, we can use the simple interest formula:
I = Prt
where I is the interest earned, P is the principal amount (i.e., the amount deposited by Rafael), r is the annual interest rate, and t is the time period in years.
We know that Rafael's account pays simple interest, so the annual interest rate remains constant over the years.
Let's represent the annual interest rate by x.
Using the formula, we can write:
£62.10 = P * x * 1, as the interest rate is per annum.
Simplifying the equation:
£62.10 = Px
x = £62.10 / P
The interest rate is equal to £62.10 divided by the amount Rafael deposited.
Substituting the value of P, we get:
x = £62.10 / £1690.50 ≈ 0.0366 or 3.66% (to 1 d.p.)
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witch of these ordered pairs is a solution to the inequality.y - 2x < -3?(2, 4)(-2, 3)(3, 4)(1, -1)
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
\(undefined\)Can somebody help with me plz
Answers
the answer is fifteen (15) weeks
Lainey bought a set of 202020 markers for \$6$6dollar sign, 6.
What is the cost of 1 marker?
Answers
Answer:
$0.30
Step-by-step explanation:
6 / 20
0.3
Best of Luck!
Answer:
the cost of 1 marker is $0.30.
Step-by-step explanation:
the ratio of number of markers is 20:6
Let's find an equivalent ratio that shows the cost for 1 marker.
A ratio where one of the terms is 1 is called a unit rate. We can divide the number of markers by 20 to get to 1 marker.
markers -> cost
$6÷20=$0.30
The cost of 1 marker is $0.30.
it's for a math test . im tryna pass .
Answers
Answer:
H
Step-by-step explanation:
Solve the inequalities 1/3x-1/4(x+2)>3x-4/3
Answers
Answer: x < -46/17
Step-by-step explanation:
To solve the inequality:
1/3x - 1/4(x + 2) > 3x - 4/3
First, we simplify the left-hand side by finding a common denominator:
4(1/3x) - 3/4(x + 2) > 3x - 4/3
4/3x - 3/4x - 9/2 > 3x - 4/3
Next, we simplify the equation:
7/12x - 9/2 > 3x - 4/3
To isolate the variable x on one side of the inequality, we will move all the x terms to the left-hand side and all the constants to the right-hand side:
7/12x - 3x > 9/2 - 4/3
-17/12x > 23/6
Finally, we can solve for x by dividing both sides by -17/12, remembering to reverse the inequality because we are dividing by a negative number:
x < (23/6) ÷ (-17/12)
x < -46/17
Therefore, the solution to the inequality is:
x < -46/17
which of the following statements is false? group of answer choices older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative. older children tend to be taller than younger children, so the correlation between age and height in children must be positive. a researcher finds that the correlation between two variables is close to 0, so the two variables must be unrelated. taller people tend to be heavier than shorter people, so the correlation between height and weight must be positive.
Answers
The correct statement would be older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative.
Increased time studying sets of tea time is associated with higher G. P.A. (Grade point average) This is positive. More time studying G. P. A. Life expectancy increases as body weight decreases. As the weight goes down the life expectancy goes up.
Muscle Density:Muscle mass (quantity) is highly correlated with survival in hospitalized patients with advanced cancer, whereas muscle density (quality) is associated with patients’ symptoms, health care use, and survival, according to a group of researchers
Correlation:In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it usually refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.
Your body shape changes naturally as you age. You cannot avoid some of these changes, but your lifestyle choices may slow or speed the process.
The human body is made up of fat, lean tissue (muscles and organs), bones, and water. After age 30, people tend to lose lean tissue. Your muscles, liver, kidney, and other organs may lose some of their cells. This process of muscle loss is called atrophy. Bones may lose some of their minerals and become less dense (a condition called osteopenia in the early stages and osteoporosis in the later stages). Tissue loss reduces the amount of water in your
The amount of body fat goes up steadily after age 30. Older people may have almost one third more fat compared to when they were younger. Fat tissue builds up toward the center of the body, including around the internal organs. However, the layer of fat under the skin gets smaller.
The tendency to become shorter occurs among all races and both sexes. Height loss is related to aging changes in the bones, muscles, and joints. People typically lose almost one-half inch (about 1 centimeter) every 10 years after age 40. Height loss is even more rapid after age 70. You may lose a total of 1 to 3 inches (2.5 to 7.5 centimeters) in height as you age. You can help prevent height loss by following a healthy diet, staying physically active, and preventing and treating bone loss.
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PLS HELP
_______exists when a figure can be reflected such that a pre-image and the image are the same
(will give brainliest)
Answers
Answer:
Hello! symmetry
Step-by-step explanation:
Symmetry is a mirror image of an image.
Cut a hexagon in half for example
_AnnieTheDreamGirl, 3.9.22
just need the answers to see if im right lol
Answers
Answer:
what is the question ? Volume or surface area???
Is the given point interior, exterior, or on the circle (x 2)2 (y - 3)2 = 81? p(8, 4) click on the graphic to choose the correct answer.
Answers
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
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Ashley has $8,250 in her savings account. Last year, the simple interest rate on the account was 4%. How much money is in her account after the interest is added? A $8,580 B $330 C $8,283 D $11,830
Answers
Answer:
The answer is 8580. (US$ 8250) + 4% =8580
If you can make 8 ⅕ cookies in 113 of an hour, how many cookies can you make in one hour? Find the unit rate. so Angle 4 = degrees 24) The width of a rectangle is 3 inches and Nits perimeter is 22 inches. cookies per
Answers
The number of cookies prepared in an hour is \(3\frac{27}{32}\) cookies.
Given that, 8 ⅕ cookies can make in 1 ¹/₃ of an hour.
Here, 8 ⅕ can be written as 41/8 and 1 ¹/₃ can be written as 4/3.
Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Now, unit rate = Number of cookies/Number of hours
= 41/8 ÷ 4/3
= 41/8 × 3/4
= 123/32
= \(3\frac{27}{32}\)
Therefore, the number of cookies prepared in an hour is \(3\frac{27}{32}\) cookies.
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