Answer:
x=39
Step-by-step explanation:
First I try to find the angle measurements for the rest of the angles inside the triangle. I saw that the 68 degrees and I notice that it was vertical angles, meaning that the inside is also 68. I then notice that the 107 and the other unknown angle besides x must be 180 when adding up, so I can do 180-107=73. Now I know that that angle is 73 degrees I can find x by solving this equation 180=73+68+x, which the answer comes out to be 39. so x=39.
Hope this helps you
The sum of two numbers is 17. One number is 3 less then 2/3 of the other number. What is the lesser number?
Answer:
5
,
Step-by-step explanation:
The required lesser number is 5.
help!! ________________
Answer:
NNNNNNNNNNNOOOOOOOOOOOOOOOOO i won't help you
Step-by-step explanation:
What document did Missouri need to become a state?
A) Declaration of Independence
B) lease
C) bill of sale
D) state constitution
Answer:
d) State constitution
Step-by-step explanation:
Missouri needs a state constitution to become a state. It is necessary for every state. Hence, option (d) is correct answer.
Question 1
Which equation represents the relationship shown in the table
at the right?
Answer:
Step-by-step explanation:
b = a + b table chart what equation represents the relationship between a and b shown in the table .
I think of a number, multiply it by 5 and subtract 3 from the result
Answer:
Do you need the result of the end?
Step-by-step explanation:
5*3=15
15-3=12
The Baines' house has a deck next to the living room. What is the total combined area of the living room and deck? 1. The deck and living room combine to form a rectangle. What is the rectangle's width?
The total combined area of the living room and deck is (168 + 12d) ft² and the rectangle's width is 12 ft.
What is area?
Area is a measure of the amount of space occupied by a two-dimensional shape or surface. It is usually expressed in square units such as square feet (ft²) or square meters (m²). The area of a shape or surface is calculated by multiplying its length or base by its width or height, depending on the shape.
To calculate the total combined area of the living room and deck, we need to determine the dimensions of the deck.
Given:
Length of the living room = 14 ft
Breadth of the living room = 12 ft
Length of the deck = d ft (let)
Since the deck and living room combine to form a rectangle, we can assume that the width of the deck is the same as the breadth of the living room, which is 12 ft.
Therefore, the dimensions of the rectangle formed by the living room and deck are as follows:
Length = 14 + d ft
Width = 12 ft
To calculate the total combined area, we can use the formula: Area = Length × Width.
Area of the living room = 14 ft × 12 ft = 168 ft²
Area of the deck = d ft × 12 ft = 12d ft²
Total combined area = Area of the living room + Area of the deck
Total combined area = 168 ft² + 12d ft²
Hence, the total combined area of the living room and deck is (168 + 12d) ft².
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Which of the following answer choices correctly expresses the number 64?
A. 4'6
B. 4'5
C. 4'4
D. 4'3
Answer:
4’3
Step-by-step explanation:
Took test
Answer:
4’3
Step-by-step explanation:
Wildlife: Mallard Ducks and Canada Geese For mallard ducks and Canada geese, what percentage of nests are successful (at least one offspring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California gave the following percentages of successful nests (Reference: The Wildlife Society Press, Washington, D.C.). x: Percentage success for mallard duck nests 56 85 52 13 39 y: Percentage success for Canada goose nests 24 53 60 69 18 (a) Use a calculator to verify that ??-245: ??2 = 14,755, 2y = 224; and (b) Use the results of part (a) to compute the sample mean, variance, and (c) Use the results of part (a) to compute the sample mean, variance, and ??? = 12,070. standard deviation for x, the percent of successful mallard nests. standard deviation for y, the percent of successful Canada goose nests.
(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.
(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:
Sample Mean (x) = ∑x / n
Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)
Standard Deviation (s) = √(s^2)
(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:
Sample Mean (x) = 245 / 5 = 49
Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285
Standard Deviation (s) = √(4,285) ≈ 65.5
Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).
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A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
Find the area of the shaded region.
Answer:
80
Step-by-step explanation:
multiply 10 by 8
(If it is not right... i apoligize but i don't see a shaded region)
Answer:
80 in
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in
Hope this Helped
Determine the order of integration that leads to an easier calculation. [Select) 2. . 2! y cos(xy) dA= [ Select) R R 1. Determine the order of integration that leads to an easier calculation ✓ [Select] dx dy the calculation for both orders dx dy and dy dx are equivalently easy dy dx 2. R y cos(xy) dav[ Select ] 2/3 1 2/pi-1 1/3 2/pi
The value of the integral is 2/pi. Therefore, the answer is:2/pi
To evaluate this integral in the order dx dy:
We need to determine the limits of integration.
Since there are no explicit limits given, we can look at the function y cos(xy) to see when it is non-zero.
This occurs when cos(xy) is non-zero, which happens when xy is an odd multiple of pi/2.
Therefore, the limits of integration for x are (-pi/2y, pi/2y), and the limits of integration for y are (0, 1).
Now, we can evaluate the integral:
∫∫R y cos(xy) dA = ∫0^1 ∫-pi/2y^pi/2y y cos(xy) dx dy
= ∫0^1 [sin(pi/2y) - sin(-pi/2y)] dy
= ∫0^1 2 sin(pi/2y) dy
= 2/π
Therefore, the answer is 2/pi.
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Given the function f(x)=5x−6 find f(4).
Answer:
f(4)=14
Step-by-step explanation:
f(x)=5x-6
f(4)=5(4)-6
f(4)=20-6
f(4)=14
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 5x -6
f(4) = 5(4) - 6
f(4) = 20 - 6
f(4) = 14
PLS HELP ME ANSWER THIS QUESTION
the range is3,7,8
3,7,8
Answer:
the range is3,7,8
3,7,8
Step-by-step explanation:
Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her children at 3/4 of the wedges.
A) how many wedges did her children eat
B) how many wedges are left?
f(x) = 2^x
what is the domain ?
range ? asymptote ? and transformation
y=2x
Step-by-step explanation:
I dont know what else there is sry
A solution of the initial value problem Dy(t)/dt + 8y(t) = 1 + e-6t is a. x(t) = 1/8 + + 1/2 e6t - 5/8 e8t
b. x(t) = 1/8 + 1/2 e-6t - 5/8 e-8t
c. x(t) = 1/8 - 1/2 e6t + 5/8 e8t
d. x(t) = 1/4 + 1/2 e6t - 5/8 e8t
The solution of the initial value problem Dy(t)/dt + 8y(t) = 1 + e-6t is option (c) y(t) = (1/8) - (1/8) * e^(-8t).
To solve the given initial value problem, we can use the method of integrating factors.
The given differential equation is:
\(dy(t)/dt + 8y(t) = 1 + e^(-6t)\)
First, we write the equation in the standard form:
\(dy(t)/dt + 8y(t) = 1 + e^(-6t)\)
The integrating factor (IF) is given by the exponential of the integral of the coefficient of y(t), which is 8 in this case:
IF = \(e^(∫8 dt)\)
=\(e^(8t)\)
Now, we multiply both sides of the differential equation by the integrating factor:
\(e^(8t) * dy(t)/dt + 8e^(8t) * y(t) = e^(8t) * (1 + e^(-6t))\)
Next, we can simplify the left side by applying the product rule of differentiation:
\((d/dt)(e^(8t) * y(t)) = e^(8t) * (1 + e^(-6t))\)
Integrating both sides with respect to t gives:
\(∫(d/dt)(e^(8t) * y(t)) dt = ∫e^(8t) * (1 + e^(-6t)) dt\)
Integrating the left side gives:
\(e^(8t) * y(t) = ∫e^(8t) dt\)
\(= (1/8) * e^(8t) + C1\)
For the right side, we can split the integral and solve each term separately:
\(∫e^(8t) * (1 + e^(-6t)) dt = ∫e^(8t) dt + ∫e^(2t) dt\)
\(= (1/8) * e^(8t) + (1/2) * e^(2t) + C2\)
Combining the results, we have:
\(e^(8t) * y(t) = (1/8) * e^(8t) + C1\)
\(y(t) = (1/8) + C1 * e^(-8t)\)
Now, we can apply the initial condition y(0) = 0 to find the value of C1:
0 = (1/8) + C1 * e^(-8 * 0)
0 = (1/8) + C1
Solving for C1, we get C1 = -1/8.
Substituting the value of C1 back into the equation, we have:
\(y(t) = (1/8) - (1/8) * e^(-8t)\)
Therefore, the solution to the initial value problem is:
\(y(t) = (1/8) - (1/8) * e^(-8t)\)
The correct answer is option (c) \(y(t) = (1/8) - (1/8) * e^(-8t).\)
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2/3b+5=20-b
can someone help me out plz because i keep getting this wrong
Answer:
b=9.
Step-by-step explanation:
A perfect square is a number that you get by multiplying a number by itself e.g., 3 x 3 = 9. The following is a pattern of perfect squares: 1, 4, 9, 16, 25. Draw arrays on a grid that might help someone predict the next four terms of the pattern 1, 4, 9, 16....
yeah that's right and the square root from 1 to 15
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225
In this assignment, you will learn the equivalent form of definition of derivative f'(a) = lim f(x) - f(a) / x-a
Use the first principle definition of derivative that we learned in class to find the derivative of the function J:
The derivative of the function J using the first principle definition is: J'(x) = lim (J(x+h) - J(x)) / h as h approaches 0.
To find the derivative of the function J using the first principle definition, we start by applying the formula f'(a) = lim (f(x) - f(a)) / (x - a) to the function J. We substitute x+h for x and a for x, giving us f'(a) = lim (J(x+h) - J(x)) / h as h approaches 0. This formula tells us that the derivative of J at a point x is equal to the limit of the difference quotient (J(x+h) - J(x)) / h as h approaches 0.
To find the value of the derivative of J at any given point x, we need to evaluate this limit. This can be done by applying algebraic manipulations, taking common factors, and using limit laws. Once we have evaluated the limit, we get the value of the derivative of J at the point x. This process is called finding the derivative of J using the first principle definition.
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How many solutions does 7(x - 2) + 5 = 3 (2x - 1) + 1 have?
Answer:
one, x = 7
Step-by-step explanation:
7(x - 2) + 5 = 3 (2x - 1) + 1
reduce:
7x - 14 + 5 = 6x - 3 + 1
x = 7
I need to know what 22.93 is to 1 decimal place
Answer:
It's 22.9, all you need to do is round the number
Step-by-step explanation:
Answer:22.93 --> 2.293 or 229.30
Step-by-step explanation:
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85 pounds. The truck is transporting 55 large boxes and 60 small boxes. If the truck is carrying a total of 4850 pounds in boxes, how much does each type of box weigh?Large box: Small box: Solve by using system of linear equations.
Solution:
Given:
Two boxes - large and small
\(\begin{gathered} Let\text{ the large boxes be represented by }l \\ Let\text{ the small boxes be represented by }s \end{gathered}\)Generate the system of equations from the statements given:
\(\begin{gathered} Total\text{ w}eight\text{ of each box is 85 pounds} \\ l+s=85 \\ \\ Total\text{ weight of truck is 4850 pounds} \\ 55l+60s=4850 \end{gathered}\)Solving both equations simultaneously;
\(\begin{gathered} l+s=85...................................(1) \\ 55l+60s=4850.........................(2) \\ \\ From\text{ equation \lparen1\rparen,} \\ s=85-l.............................(3) \\ \\ Substitute\text{ s into equation \lparen2\rparen;} \\ 55l+60(85-l)=4850 \\ 55l+5100-60l=4850 \\ 55l-60l=4850-5100 \\ -5l=-250 \\ Divide\text{ both sides by -5} \\ l=\frac{-250}{-5} \\ l=50 \end{gathered}\)Substitute l into equation (3) to get s
\(\begin{gathered} s=85-l \\ s=85-50 \\ s=35 \end{gathered}\)Therefore,
Large box: 50 pounds
Small box: 35 pounds
what is the equation in slope intercept form 6x-4y=12 ?
Answer:
y=6/4x-3
Step-by-step explanation:
First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.
Answer:
Slope = 6/4 or 1 1/2
Step-by-step explanation:
Step 1:
6x - 4y = 12 Equation
Step 2:
y = mx + b Slope Intercept Form
Step 3:
- 4y = - 6x + 12 Subtract 6x on both sides
Step 4:
y = 6/4x + 12 Divide 4 on both sides
Answer:
Slope = 6/4 or 1 1/2
Hope This Helps :)
In a group of 55 people 3x+5 people 3x+5 people like apple.If all the people who like apple also like banana and if 2x+15 people like at least one of fruit then find how many like (i) bananas only (ii) none of the fruits (iii) at most one fruit
i. 20 people
ii. 3 people
iii. 26 people
How to determine the valuesWe have that;
3x + 5 people likes apples
3x + 5 people likes banana
2x + 15 people likes at least one of the fruits
The total number of people = 55
Let's find the value of x
3x + 5 + 2x + 15 = 55
5x + 20 = 55
5x = 55 - 20
5x = 35
x = 35/5
x = 7
i. People that likes banana only = 3x + 5 = 3 × 5 + 5 = 15 + 5 = 20 people
ii. None of the fruits = 55 - 2x + 15 = 55 - 3x + 5 - 3x + 5 = 55 - 26 +26
= 55 - 52
= 3 people
iii. At most one fruit = 55 - 2x + 15 = 55 - 2(7) + 15 = 55 - 29 = 26 people
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Which statement is true?
A probability of − 1 indicates an event will likely happen.
A probability of 0.4 indicates an event will never happen.
A probability of 0.9 indicates an event will probably not happen.
A probability of 1 indicates an event will definitely happen.
Answer:
Its d
Step-by-step explanation:A probability of 1 indicates an event will definitely happen.
The true statement is D; probability of 1 indicates an event will definitely happen.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence . An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
It is a numerical representation of the likelihood or likelihood that a particular event will occur, Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1.
The correct statement is D; A probability of 1 indicates an event will definitely happen.
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-6=b/18 solve this equation
From the given equation, we are to solve for b.
\(\begin{gathered} -6=\frac{b}{18} \\ \text{Cross mult}iply \\ -6\times18=\text{ b} \\ -108=\text{ b} \end{gathered}\)Hence the answer of b is -108.
We proved in class that if L1, and L2 are subsets of {a,b}∗ then L1∗∪L2∗⊆(L1∪L2)∗. Show that L1∗∪L2∗=(L1∪L2)∗
To show that L1∗ ∪ L2∗ ≠ (L1 ∪ L2)∗, we need to provide a counterexample.
Consider L1 = {a} and L2 = {b}. In this case, L1* includes all strings composed of multiple 'a's or the empty string: L1* = {ε, a, aa, aaa, ...}. Similarly, L2* includes all strings composed of multiple 'b's or the empty string: L2* = {ε, b, bb, bbb, ...}.
The union of L1 and L2, (L1 ∪ L2), is the set {a, b}.
Now, let's analyze (L1 ∪ L2)∗, which represents the Kleene star operation applied to (L1 ∪ L2). (L1 ∪ L2)∗ consists of all possible combinations of 'a's and 'b's, including the empty string: (L1 ∪ L2)∗ = {ε, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, ...}.
On the other hand, L1* ∪ L2* is the union of L1* and L2*, which is {ε, a, aa, aaa, ..., b, bb, bbb, ...}.
We can observe that (L1 ∪ L2)∗ contains additional strings like ab, ba, abb, etc., that are not present in L1* ∪ L2*. Therefore, L1∗ ∪ L2∗ ≠ (L1 ∪ L2)∗.
This counterexample demonstrates that the inclusion L1∗ ∪ L2∗ ⊆ (L1 ∪ L2)∗ holds, but the reverse inclusion (L1 ∪ L2)∗ ⊆ L1∗ ∪ L2∗ does not hold in general.
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In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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What is the maximum integer value that satisfies the inequality 5x-11≤ 43?
Answer:
10
Step-by-step explanation:
We start by getting the value of x
We have this as follows:
5x ≤ 43 + 11
5x ≤ 54
x ≤ 54/5
x ≤ 10.8
As we can see, the maximum integer closest to this decimal is the value 10
Find the solution to the equation
8n+5=23-2n
Round your answer to the nearest hundredth, if necessary