Answer:
A∩B ={2;4}
Step-by-step explanation:
Chúc bạn học tốt
SOMEONE ANSWER THIS PLSSSS
Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike for 15 minutes longer than he jogs.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day. (5 points)
Part B: How much time does Jack spend jogging every day? Show your work. (3 points)
Part C: Is it possible for Jack to have spent 60 minutes riding his bike if he jogs and rides for a total of exactly 75 minutes and rides his bike for 15 minutes longer than he jogs? Explain your reasoning. (2 points)
Answer:
here's the answer to your question
Answer:
for B : he spend 30 minutes jogging and 45 minutes riding his bike
Step-by-step explanation:
75-15=60
60/2=30
jogging (x) =30
30+15=45
riding bike (y) =45
hopefully it help you
i need help on this PLS
Answer:
25 miles (The pattern is m = 25g where m is miles and g is gallons.)
Tìm đạo hàm riêng cấp 1 của hàm số:
f(x,y) = e^(x²+y²) + 3x . e^xy
Answer:
fx = 2xe^(x^2+y^2) + 3e^xy + 3xye^xy
fy = 2ye^(x^2+y^2) + 3x^2.e^xy
Find the equation of a line that is perpendicular to x+y=8 and passes through the point (8, 10).
Answer:
Y = -x + 2
Step-by-step explanation:
y = -x + 8
y = 1x + b
10 = 8 + b
b = 2
Answer:
y-y1=m(x-x1)
y-10=8(x-8)
y-10=8x-64
y-10+64-8x
y+54-8x
y-8x+54
Please help me to find this problem
9514 1404 393
Answer:
3. 42.21 in
4. 4.38 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between an angle in a right triangle and the basic trig functions. The triples of letters stand for ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
where the terms "opposite" and "adjacent" refer to sides of the triangle that are opposite the angle of interest or adjacent to it, respectively.
In these problems, the measure of the hypotenuse is shown, and the problem requests the measure of the side opposite the given angle. The sine function is relevant.
__
3. sin(79°) = GE/GB = GE/(43 in)
GE = (43 in)sin(79°) ≈ (43 in)(0.981627) ≈ 42.21 in
__
4. sin(26°) = BC/BA = BC/(10 cm)
BC = (10 cm)sin(26°) ≈ (10 cm)(0.438371) ≈ 4.38 cm
Let S be a set of linearly dependent vectors in Rn. Select the best statement. A. The set S could, but does not have to, span Rn. B. The set S spans Rn, as long as no vector in S is a scalar multiple of another vector in the set. C. The set S cannot span Rn. D. The set S must span Rn. E. The set S does not span Rn if some vector in S is a scalar multiple of another vector in the set. F. The set S spans Rn, as long as it does not include the zero vector. G. none of the above
Answer:
The set S could, but does not have to, span Rn ( A )
Step-by-step explanation:
Assume S is a set of linearly dependent vectors in Rn
The best statement from the options is ; The set S could, but does not have to, span Rn
This is because S could span Rn ( as stated in option c ) but will not necessary span Rn ( as seen in option D )
The The Laplace Transform of a function , which is defined for all , is denoted by and is defined by the improper integral , as long as it converges. Laplace Transform is very useful in physics and engineering for solving certain linear ordinary differential equations. (Hint: think of as a fixed constant) 1. Find (hint: remember integration by parts)
Answer:
a. L{t} = 1/s² b. L{1} = 1/s
Step-by-step explanation:
Here is the complete question
The The Laplace Transform of a function ft), which is defined for all t2 0, is denoted by Lf(t)) and is defined by the improper integral Lf))s)J" e-st . f(C)dt, as long as it converges. Laplace Transform is very useful in physics and engineering for solving certain linear ordinary differential equations. (Hint: think of s as a fixed constant) 1. Find Lft) (hint: remember integration by parts) A. None of these. B. O C. D. 1 E. F. -s2 2. Find L(1) A. 1 B. None of these. C. 1 D.-s E. 0
Solution
a. L{t}
L{t} = ∫₀⁰⁰[tex]e^{-st}t[/tex]
Integrating by parts ∫udv/dt = uv - ∫vdu/dt where u = t and dv/dt = [tex]e^{-st}[/tex] and v = [tex]\frac{e^{-st}}{-s}[/tex] and du/dt = dt/dt = 1
So, ∫₀⁰⁰udv/dt = uv - ∫₀⁰⁰vdu/dt w
So, ∫₀⁰⁰[tex]e^{-st}t[/tex] = [[tex]\frac{te^{-st}}{-s}[/tex]]₀⁰⁰ - ∫₀⁰⁰ [tex]\frac{e^{-st}}{-s}[/tex]
∫₀⁰⁰[tex]e^{-st}t[/tex] = [[tex]\frac{te^{-st}}{-s}[/tex]]₀⁰⁰ - ∫₀⁰⁰ [tex]\frac{e^{-st}}{-s}[/tex]
= -1/s(∞exp(-∞s) - 0 × exp(-0s)) + [tex]\frac{1}{s}[/tex] [[tex]\frac{e^{-st} }{-s}[/tex]]₀⁰⁰
= -1/s[(∞exp(-∞) - 0 × exp(0)] - 1/s²[exp(-∞s) - exp(-0s)]
= -1/s[(∞ × 0 - 0 × 1] - 1/s²[exp(-∞) - exp(-0)]
= -1/s[(0 - 0] - 1/s²[0 - 1]
= -1/s[(0] - 1/s²[- 1]
= 0 + 1/s²
= 1/s²
L{t} = 1/s²
b. L{1}
L{1} = ∫₀⁰⁰[tex]e^{-st}1[/tex]
= [[tex]\frac{e^{-st} }{-s}[/tex]]₀⁰⁰
= -1/s[exp(-∞s) - exp(-0s)]
= -1/s[exp(-∞) - exp(-0)]
= -1/s[0 - 1]
= -1/s(-1)
= 1/s
L{1} = 1/s
Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 10.13. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits. SAMPLE NUMBER READINGS (IN OHMS) 1 1027 994 977 994 2 975 1013 999 1017 3 988 1016 974 997 4 998 1024 1006 1010 5 990 1012 990 1000 6 1016 998 1001 1030 7 1000 983 979 971 8 973 982 975 1030 9 992 1028 991 998 10 997 1026 972 1021 11 990 1021 1028 992 12 1021 998 996 970 13 1027 993 996 996 14 1022 981 1014 983 15 977 993 986 983 a. Calculate the mean and range for the above samples.
Answer:
See explanation
Step-by-step explanation:
Given
See attachment for proper presentation of question
Required
Mean and Range
To do this, we simply calculate the mean and the range of each row.
[tex]\bar x = \frac{\sum x}{n}[/tex] ---- mean
Where:
[tex]n = 4[/tex] ---- number of rows
[tex]R = Highest - Lowest[/tex] --- range
So, we have:
Sample 1
[tex]\bar x_1 = \frac{1027+ 994 +977 +994 }{4}[/tex]
[tex]\bar x_1 = 998[/tex]
[tex]R_1 = 1027- 994[/tex]
[tex]R_1 = 33[/tex]
Sample 2
[tex]\bar x_2 = \frac{975 +1013 +999 +1017}{4}[/tex]
[tex]\bar x_2 = 1001[/tex]
[tex]R_2 = 1017 - 975[/tex]
[tex]R_2 = 42[/tex]
Sample 3
[tex]\bar x_3 = \frac{988 +1016 +974 +997}{4}[/tex]
[tex]\bar x_3 = 993.75[/tex]
[tex]R_3 = 1016-974[/tex]
[tex]R_3 = 42[/tex]
Sample 4
[tex]\bar x_4 = \frac{998 +1024 +1006 +1010}{4}[/tex]
[tex]\bar x_4 = 1009.5[/tex]
[tex]R_4 = 1024 -998[/tex]
[tex]R_4 = 26[/tex]
Sample 5
[tex]\bar x_5 = \frac{990 +1012 +990 +1000}{4}[/tex]
[tex]\bar x_5 = 998[/tex]
[tex]R_5 = 1012 -990[/tex]
[tex]R_5 = 22[/tex]
Sample 6
[tex]\bar x_6= \frac{1016 + 998 +1001 +1030}{4}[/tex]
[tex]\bar x_6= 1011.25[/tex]
[tex]R_6= 1030-998[/tex]
[tex]R_6= 32[/tex]
Sample 7
[tex]\bar x_7 = \frac{1000 +983 +979 +971}{4}[/tex]
[tex]\bar x_7 = 983.25[/tex]
[tex]R_7 = 1000-971[/tex]
[tex]R_7 = 29[/tex]
Sample 8
[tex]\bar x_8 = \frac{973 +982 +975 +1030}{4}[/tex]
[tex]\bar x_8 = 990[/tex]
[tex]R_8 = 1030-973[/tex]
[tex]R_8 = 57[/tex]
Sample 9
[tex]\bar x_9 = \frac{992 +1028 +991 +998}{4}[/tex]
[tex]\bar x_9 = 1002.25[/tex]
[tex]R_9 = 1028 -991[/tex]
[tex]R_9 = 37[/tex]
Sample 10
[tex]\bar x_{10} = \frac{997 +1026 +972 +1021}{4}[/tex]
[tex]\bar x_{10} = 1004[/tex]
[tex]R_{10} = 1026 -972[/tex]
[tex]R_{10} = 54[/tex]
Sample 11
[tex]\bar x_{11} = \frac{990 +1021 +1028 +992}{4}[/tex]
[tex]\bar x_{11} = 1007.75[/tex]
[tex]R_{11} = 1028 -990[/tex]
[tex]R_{11} = 38[/tex]
Sample 12
[tex]\bar x_{12} = \frac{1021 +998 +996 +970}{4}[/tex]
[tex]\bar x_{12} = 996.25[/tex]
[tex]R_{12} = 1021 -970[/tex]
[tex]R_{12} = 51[/tex]
Sample 13
[tex]\bar x_{13} = \frac{1027 +993 +996 +996}{4}[/tex]
[tex]\bar x_{13} = 1003[/tex]
[tex]R_{13} =1027 -993[/tex]
[tex]R_{13} =34[/tex]
Sample 14
[tex]\bar x_{14} = \frac{1022 +981 +1014 +983}{4}[/tex]
[tex]\bar x_{14} = 1000[/tex]
[tex]R_{14} = 1022 -981[/tex]
[tex]R_{14} = 41[/tex]
Sample 15
[tex]\bar x_{15} = \frac{977 +993 +986 +983}{4}[/tex]
[tex]\bar x_{15} = 984.75[/tex]
[tex]R_{15} = 993-977[/tex]
[tex]R_{15} = 16[/tex]
What is the value of x?
X + y = 10;
Z + z = 6;
Z + y = 5;
A) 9
B) 8
C) 7
D) 6
E) 1
Answer:
B
Step-by-step explanation:
z+z=6, z=3. z+y=5, y=2, x+y=10, x=8
72
60
48
36
Number of Computers
The graph shows a proportional relationship between
the number of computers produced at a factory per
day in three days, 36 computers are produced, 48
computers are produced in 4 days, and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the
graph.
Unit rate
computers per day
I
24
12
3 4 5 6 7 8 9 10 11 12
Number of Days
Intro
Done
Graph is attached below ;
Answer:
Unit rate = 12 computers per day
Step-by-step explanation:
To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
That is ; the gradient ;
Slope = change in y / change in x
Slope = (y2 - y1) / (x2 - x1)
y2 = 60 ; y1 = 36 ; x2 = 5 ; x1 = 3
Slope = (60 - 36) / (5 - 3) = 24 / 2 = 12
Slope = 12
Unit rate = 12 computers per day
Let θ be an angle in quadrant IV such that sinθ = -2/5 .
Find the exact values of secθ and tanθ.
If θ lies in the fourth quadrant, then sin(θ) < 0 and cos(θ) > 0. So we have from the Pythagorean identity,
sin²(θ) + cos²(θ) = 1 ==> cos(θ) = +√(1 - sin²(θ)) = √21/5
Then
sec(θ) = 1/cos(θ) = 5/√21
and
tan(θ) = sin(θ)/cos(θ) = (-2/5)/(√21/5) = -2/√21
solve similar triangles (advanced)
solve for x
Answer:
x = 27/8
Step-by-step explanation:
We can write a ratio to solve
x 3
------- = ----------
x+9 11
Using cross products
x*11 = 3(x+9)
11x = 3x+27
Subtract 3x from each side
8x = 27
8x/8 = 27/8
x = 27/8
Quy tắc suy luận nào là cơ sở của suy diễn sau: "Biết rằng: 2 đường thẳng d và d' song song hoặc cắt nhau. Ta đã có d không song song với d'. Vậy d cắt d'
Select one:
a. Luật loại trừ
b. Luật rút gọn
c. Luật phản chứng
d. Luật tách rời
Answer: a
Step-by-step explanation:
What is the solution of the equation x2 -14x + 67 = 0?
A. X= 7+3in12
B.X = 7+31V-2
C.X= 7+ 2/8
D.X = 7+ 217
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
What is the solution of the equation x^2 - 14x + 67 = 0?
[tex]\tt{First \: option. \: x = 7 \underline{+}3i\sqrt{2}}[/tex][tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex]\sf\color{pink}{༄⁂✰Bae \: Yoonah}[/tex]
If my classmate was born on April 9, two thousand and six and I was born on December 24, two thousand and four, how many months, years and days are we apart?
Answer:
I could be wrong but I calculated 2 years 8 months and 15 days.
2 years
8 months
15 days
Bod and coa are _____ angles
Answer:
opposite angles
Step-by-step explanation:
They are formed in the intersection of lines AD and BD.
Answer:
opposite angles
Step-by-step explanation:
they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.
Al gave correct answers to 22 of the 25 questions on the driving test. What percent of the questions did he get correct?
Which of the following choices is equivalent to the equation below?
5(2x−1) = 5(5x−14)
A 2x − 1 = 5x − 14
B 5(2x − 1) = 5x − 14
C 2x − 1 = 5
D None of these choices are correct.
Answer:
2x-1 = 5x-14
Step-by-step explanation:
5(2x−1) = 5(5x−14)
Divide each side by 5
5/5(2x−1) = 5/5(5x−14)
2x-1 = 5x-14
Answer:
A.
Step-by-step explanation:
5(2x−1) = 5(5x−14)
10x - 5 = 25x - 70
65 = 15x
x = 13/3.
Take Option A.
2x - 1 = 5x - 14
3x = 13
x = 13/3 so its this one.
B: 10x - 5 = 5x - 14
5x = -9
x = -9/5 so NOT B.
C. simplifies to x = 3. so NOT C.
1. Carlos wants to deposit $900 into savings accounts at three different
banks: Bank of Chance, Merchant Bank, and Utopian Financing. He will
deposit two times as much into Merchant Bank as Bank of Chance
because they offer a higher interest rate. He also expects the Utopian
Financing deposit to be only 20% of the total of the other two deposits.
How much will Carlos deposit into the Utopian Financing savings account
(4 points)
O $180
$250
$500
$150
Answer:
$150
Step-by-step explanation:
0.2 X 750 = 150
hope this helps
Write each of the following equations in general form.
a. 1 − 2x = y
b. 9y + 7x = 16 − 3y + x
c. x = 3
d. 2y − 4x − 1 = 7
Answer:
a)2x+y=1
b) 6x+12y=16
c) y=-x+3 (I was a bit confused on this one but I believe this is correct)
d) 4x-2y=-8
Answer:
a. -2x - y + 1 = 0
b. 6x + 12y -16 = 0
c. x - 3 = 0
d. -4x + 2y - 8 = 0
Step-by-step explanation:
A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for a.
2 in.
4 in.
O A = 33.12 square inches, P = 20.56 inches
O A 14.28 square inches, P20.56 inches
A = 33.12 square inches, P = 14.28 inches
O A 14.28 square inches, P = 14.28 inches
9514 1404 393
Answer:
(d) A = 14.28 in², P = 14.28 in
Step-by-step explanation:
The figure is wholly contained within a 4" square, which has an area of (4 in)² = 16 in², and a perimeter of 4(4 in) = 16 in. Since the figure is smaller in area and has a shorter perimeter (the top corners are rounded, not square), both answer values must be less than 16.
The only reasonable choice is the last choice: 14.28 in², 14.28 in.
__
If you want to figure this out in detail, you have the area of a rectangle that is 2 in by 4 in, and the area of a semicircle of radius 2 in. The total area is ...
A = LW +1/2πr²
A = (2 in)(4 in) + 1/2(3.14)(2 in)² = 8 in² +6.28 in²
A = 14.28 in²
__
The perimeter is half that of a 4" square, plus half that of a 4" circle.
P = 1/2(4(4 in) +π(4 in)) = (2 in)(4 +π) = 2(7.14) in
P = 14.28 in
need help asap pls! :)
Answer:
6:21
Step-by-step explanation:
We want to find the ratio of squares to shapes
So simply count the squares
There are 6 squares
And then find the total number of shapes
There are a total of 21 shapes
So for every 6 squares there are 21 total shapes
In other words the ratio of squares to shapes is 6:21
Answer:
6:21Step-by-step explanation:
Given,
Number of squares = 6
Total no. of shapes = 21
Therefore,
Unsimplified ratio of squares to total shapes
= 6:21 (Ans)
write your answer in simplest radical form
Answer:
c = 4√2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 30
Opposite = 2√2
Hypothenus = c =?
We can obtain the value of c by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 30 = 2√2 / c
½ = 2√2 / c
Cross multiply
c = 2 × 2√2
c = 4√2
Therefore, the value of c is 4√2.
We are given a weighted coin (with one side heads, one side tails), and we want to estimate the unknown probability pp that it will land heads. We flip the coin 1000 times and it happens to land heads 406 times. Give answers in decimal form, rounded to four decimal places (or more). We estimate the chance this coin will land on heads to
Answer:
0.4060
Step-by-step explanation:
To calculate the sample proportion, phat, we take the ratio of the number of preferred outcome to the total number of trials ;
Phat = number of times coin lands on head (preferred outcome), x / total number of trials (total coin flips), n
x = 406
n = 1000
Phat = x / n = 406/ 1000 = 0.4060
The estimate of the chance that this coin will land on heads is 0.406
Probability is the likelihood or chance that an event will occur.Probability = Expected outcome/Total outcomeIf a coin is flipped 1000 times, the total outcomes will 1000
If it landed on the head 406 times, the expected outcome will be 406.
Pr(the coin lands on the head) = 406/1000
Pr(the coin lands on the head) = 0.406
Hence the estimate of the chance that this coin will land on heads is 0.406
Learn more on probability here: https://brainly.com/question/14192140
8 thousand+7tens=6thiusand+. tens
Answer:
207 tens
Step-by-step explanation:
If you mean
8,000 + 70 = 6000 + X tens
then it should be 207 tens
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%. The test statistic is a.1.44. b.1.25. c..95. d..80.
Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:
[tex]H_0: p \leq 0.4[/tex]
At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that [tex]p = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:
[tex]n = 200, X = \frac{90}{200} = 0.45[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}[/tex]
[tex]z = 1.44[/tex]
Thus the correct answer is given by option a.
The initial population of the town was estimated to be 12,500 in 2005. The population has increased by about 5.4% per year since 2005.
Formulate the equation that gives the population, A(x) , of the town x years since 2005. If necessary, round your answer to the nearest thousandth.
A(x)=__(_)^x
Answer:
[tex]A(x) = 12500(1.054)^x[/tex]
Step-by-step explanation:
Exponential equation for population growth:
Considering a constant growth rate, the population, in x years after 2005, is given by:
[tex]A(x) = A(0)(1 + r)^x[/tex]
In which A(0) is the population in 2005 and r is the growth rate, as a decimal.
The initial population of the town was estimated to be 12,500 in 2005.
This means that [tex]A(0) = 12500[/tex]
The population has increased by about 5.4% per year since 2005.
This means that [tex]r = 0.054[/tex]
So
[tex]A(x) = A(0)(1 + r)^x[/tex]
[tex]A(x) = 12500(1 + 0.054)^x[/tex]
[tex]A(x) = 12500(1.054)^x[/tex]
Q: EXPRESS IT IN THE FORM OF LINEAR EQUATION IN ONE VARIABLE:
•The ordinate of a point is thrice its abscissa.
Answer:
y = 3x
Step-by-step explanation:
abscissa is the x coordinate
ordinate is the y coordinate
y = 3x
What is the sine ratio for
Answer:
the since ratio is 5/4
Step-by-step explanation:
hope this is helpful ask manyi keel asking for the dang answer why wont anyone tell me it a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils is the store sells a total of 1950 pencils and pens and markers in a week how many of each were sold
Answer:
Pencils = 325 ; Pens = 975 ; Markers = 650
Step-by-step explanation:
Let :
Number of Pencils = x
Number of pens = y
Number of markers = z
2 times as many markers as pencils
z = 2x
3 times as many pens as pencils
y = 3x
x + y + z = 1950
Write z and y in terms of x in the equation :
x + 3x + 2x = 1950
6x = 1950
Divide both sides by 6
6x / 6 = 1950 / 6
x = 325
Number of pencils = 325
Pens = 3 * 325 = 975
Markers = 2 * 325 = 650
Pencils = 325 ; Pens = 975 ; Markers = 650
