Answer:
p=3
Step-by-step explanation:
Find the slope of the graph below.
Help !!
Answer:
the slope is -1/4
Step-by-step explanation:
the change in y over the change in x from point (-2,-2) to (2,-3) is how to find the slope
y1-y2/x1-x2 = m
-2--3/-2-2 = -1/4
Convert the equation x2 + 4y2 + 2x + 24y + 21 = 0 into standard form.
Answer:
(X+1)²+4(y+3)² = (√-20)²
Step-by-step explanation:
The standard form of expressing equation ic;
(x-a)²+(y-b)² = r²
Given the expression
x²+4y²+2x+24y+21 = 0
Collect the like terms
x²+2x + 4y²+24y+21 = 0
Completing the squares
x²+2x +(2/2)² + 4(y²+6y)+21 = 0+(2/2)²
x²+2x +(2/2)² + 4(y²+6y+(6/2)²)+21 = 0+(2/2)²
x²+2x +1 + 4(y²+6y+(3)²)+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4y²+24y+36+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4(y+3)²+21 = 0+1
(X+1)²+4(y+3)² = 1 - 21
(X+1)²+4(y+3)² = -20
(X+1)²+4(y+3)² = (√-20)²
Me puede ayudar con esto porfa.
Los ingresos de Mary en 2019 fueron un 20 por ciento mayores que sus ingresos en 2018. ¿Cuál es la relación entre los ingresos de Mary en 2019 con respecto a sus ingresos en 2018?
a) 1 a 5
b) 5 a 6
c) 6 a 5
d) 5 a 1
e) 20 a 1
Answer:
La respuesta correcta es la opción d) 5 a 1.
Step-by-step explanation:
Para calcular la relación entre los ingresos de Mary en 2019 (\(I_{2019}\)) con respecto a sus ingresos en 2018 (\(I_{2018}\)), partimos de que los ingresos de Mary en 2019 fueron un 20% mayores que sus ingresos en 2018:
\(I_{2019} = 20\% \: I_{2018}\)
\( I_{2019} = \frac{20}{100}I_{2018} \)
\( \frac{100}{20}I_{2019} = I_{2018} \)
\( 5I_{2019} = I_{2018} \)
Entonces, la relación entre los ingresos de Mary en 2019 es 5 veces los ingresos de Mary en 2018. Por lo tanto, la respuesta correcta es la opción d) 5 a 1.
Espero que te sea de utilidad!
Find the first four nonzero terms of the Taylor series for the function f(t) = 4+ sin(4t) about 0. NOTE: Enter only the first four non-zero terms of the Taylor series in the answer field. Coefficients
The first four non-zero terms are \(4, 4t, -32/3 t^3\), and 0 (the coefficient of \(t^4\)). So the answer is: \(4, 4t, -32/3 t^3, 0\)
The Taylor series for a function f(t) about t = 0 is given by:
\(f(t) = f(0) + f'(0)t + (f''(0)/2!) t^2 + (f'''(0)/3!) t^3 + ...\)
To find the first four non-zero terms of the Taylor series for f(t) = 4 +
sin(4t), we need to find its first four derivatives evaluated at t = 0.
f(0) = 4 + sin(40) = 4
f'(t) = 4cos(4t)
f'(0) = 4cos(40) = 4
f''(t) = -16sin(4t)
f''(0) = -16sin(40) = 0
f'''(t) = -64cos(4t)
f'''(0) = -64cos(40) = -64
f''''(t) = 256sin(4t)
f''''(0) = 256sin(4 × 0) = 0
Substituting these values into the formula for the Taylor series, we get:
\(f(t) = 4 + 4t - (64/3!) t^3 + ...\)
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The piston stroke depend on * offset
crank angle
B crank radius the crank angle value when the piston at TDC is...... 120 30 0*2pi B the maximum ratio of crank radius to connected length is *
4
0.25-0.3 0.25 0.3
The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.
The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.
Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.
It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.
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You are given a bag of jelly beans there are 7 red, 8 blue, 4 yellow, and 10 pink. Find the probability of drawing two blue in a row with replacement
Answer:
8 / 29 = .276
Step-by-step explanation:
29 is the total number of jelly beans
When we have replacement, we do not reduce the number of total jelly beans, so the probably of drawing blue stays the same.
Answer:
.276
Step-by-step explanation:
A computer’s BIOS is defined as the license that operates hardware. instructions within hardware. software within hardware. application software for hardware.
Answer:
instructions within hardware.
Step-by-step explanation:
I think it work
Answer:
answer is c
just took the quiz
Step-by-step explanation:
3x + 7(x + 1) = 2(6x + 5) -2x
A. Single Solution
B. No Solution
C. Infinitely Many Solutions
D. X=7, X=10
The equation 3x + 7(x + 1) = 2(6x + 5) - 2x has no solution. Then the correct option is B.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
3x + 7(x + 1) = 2(6x + 5) - 2x
Simplify the equation, then we have
3x + 7(x + 1) = 2(6x + 5) - 2x
3x + 7x + 7 = 12x + 10 - 2x
10x + 7 = 10x + 10
The variable gets eliminated but the constant remains there. Then the equation 3x + 7(x + 1) = 2(6x + 5) - 2x has no solution. Then the correct option is B.
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How many pints and in a cup??
Answer:
.5
Step-by-step explanation:
because a pint is 2 cups so divide by 4 because you multiply that 2 by another 2 is 4 so once you do that its .5
Shayna invests $3,639 in a savings account with a fixed annual interest rate of 5% compounded 12 times per year. What will the account balance be after 12 years? You must upload work.
Answer:
5% of $3,639 is 181.95 X 12 = 2,183.40
What goes on the lines I don’t understand the problem
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = \(-\frac{5}{3}x+14\)
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Raj reads 7/12 of his book before dinner and another 2/12 of his book after dinner.
How much of his book did Raj read in total?
Enter your answer as a fraction in simplest form by filling in the boxes.
Raj read a total of 9/12 of his book.
To find out how much of the book Raj read in total, we need to add the fractions representing the portions he read before dinner and after dinner. Raj read 7/12 of his book before dinner, and then an additional 2/12 of his book after dinner. Adding these fractions together gives us:
7/12 + 2/12 = 9/12.
Since the fractions have the same denominator (12), we can simply add the numerators to get the numerator of the total fraction. The denominator remains the same. So, Raj read a total of 9/12 of his book.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3 in this case:
9/12 ÷ 3/3 = 3/4.
Therefore, Raj read 3/4 of his book in total.
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Answer:
Step-by-step explanation:
hi me need help me 10
Describe a pathology that is associated with any one of these special cell types and outline any real-life experience you may have with the disorder/disease.
One pathology associated with special cell types is multiple sclerosis (MS), a chronic neurological disorder affecting the central nervous system. MS involves damage to the protective covering of nerve fibers, known as myelin, which disrupts the communication between the brain and the rest of the body.
This can lead to a wide range of symptoms, including fatigue, muscle weakness, coordination problems, and cognitive impairment. I have had personal experience with a family member who was diagnosed with MS. Witnessing their journey with this disease has highlighted the challenges they face on a daily basis. The unpredictable nature of MS, with periods of relapse and remission, has made it difficult for them to plan their activities and maintain a consistent quality of life.
They have undergone various treatments, including medication and physical therapy, to manage symptoms and slow down the progression of the disease. Seeing their resilience and determination in adapting to the limitations imposed by MS has inspired me and reinforced the importance of ongoing research and support for individuals affected by this condition.
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Order the numbers from least to
greatest.
34, -1.7, 0.6, -74, 1.1
Answer:
-74,-1.7,0.6,1.1,34
Step-by-step explanation:
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
2/7×4 2/3 what is the answer plzzzz?
Answer:
\(\frac{4}{3}\)
Step-by-step explanation:
Change 4 \(\frac{2}{3}\) into an improper fraction, that is
4 \(\frac{2}{3}\) = \(\frac{14}{3}\) , thus
\(\frac{2}{7}\) × 4 \(\frac{2}{3}\)
= \(\frac{2}{7}\) × \(\frac{14}{3}\) ( cancel 7 and 14 by 7 )
= 2 × \(\frac{2}{3}\)
= \(\frac{4}{3}\)
The following linear trend expression was estimated using a time
series with 17 time periods. Yt = 129.2 + 3.8t The trend projection
for time period 18 is
a. 6.84
b. 197.6
c. 193.8
d. 68.4
The trend projection for time period 18 is 197.6. The correct option is B
What is linear trend expression ?
A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.
To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:
Yt = 129.2 + 3.8t
Y18 = 129.2 + 3.8 * 18
Y18 = 129.2 + 68.4
Y18 = 197.6
Therefore, the trend projection for time period 18 is 197.6.
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an independent group of food service personnel conducted a survey on tipping practices in a large metropolitan area. they collected information on the percentage of the bill left as a tip for 40 randomly selected bills. the average tip was 13.1% of the bill with a standard deviation of 2.7% . assume that the tips are approximately normally distributed. construct an interval to estimate the true average tip (as a percent of the bill) with 95% confidence. round the endpoints to two decimal places, if necessary.
The 95% confidence interval for the true average tip is approximately 12.25% to 13.95%.
What in confidence interval?The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level.
To construct a confidence interval for the true average tip, we can use the following formula:
Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √n)
Given:
Sample mean (\(\bar X\)) = 13.1%
Standard deviation (σ) = 2.7%
Sample size (n) = 40
Confidence level = 95%
First, we need to find the critical value associated with a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution.
The critical value for a 95% confidence level is approximately 1.96.
Now, let's calculate the confidence interval:
Confidence Interval = 13.1% ± 1.96 * (2.7% / √40)
Calculating the standard error (standard deviation / √n):
Standard Error = 2.7% / √40 ≈ 0.4277
Confidence Interval = 13.1% ± 1.96 * 0.4277
Calculating the endpoints of the confidence interval:
Lower Endpoint = 13.1% - 1.96 * 0.4277
Upper Endpoint = 13.1% + 1.96 * 0.4277
Rounding the endpoints to two decimal places:
Lower Endpoint ≈ 12.25%
Upper Endpoint ≈ 13.95%
Therefore, the 95% confidence interval for the true average tip is approximately 12.25% to 13.95%.
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Given the equation 4X +7 = 3 (2x -5 ) solve for the variable explain each step in justify your process
Answer:
x = 11
Step-by-step explanation:
4x + 7 = 6x -15
4x - 6x = -15-7
-2x = -22 / : (-2)
x = 11
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There are 11 rainbows that total 1,011 miles in total. What is the mean length of the rainbows?
It can be seen that the value of the mean computed will be 91.9 miles.
How to calculate the meanA mean simply means the average of a set of numbers. In this case, there are 11 rainbows and thete are total of 1,011 miles.
Therefore, the mean of the numbers will be:
= 1011/11
= 91.9 miles.
In conclusion, the correct option is 91.9 miles.
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Identify if each of the following statements is sometimes,always,or never true.
1. A parallelogram is a quadrilateral.
2. A square is a rectangle.
3. A trapezoid is a parallelogram.
4. A kite is a trapezoid.
5. A quadrilateral is a trapezoid.
6. A rhombus is a square.
7. A rectangle is a rhombus.
8. A kite is a parallelogram.
9. A square is a rhombus.
10. A trapezoid is a quadrilateral.
Answer: Always true
Sometimes true (only if all four sides are congruent)
Sometimes true (only if the trapezoid is isosceles)
Always true
Sometimes true (only if it has at least one pair of parallel sides)
Sometimes true (only if all four sides are congruent and opposite angles are congruent)
Sometimes true (only if all four sides are congruent)
Sometimes true (only if it has two pairs of congruent adjacent sides)
Sometimes true (only if all four sides are congruent)
Always true.
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HELP ME PLEASE 20 POINTS EACH!!
Answer:
3.58, then 3.587, then 15,4 then 3 7/9
Step-by-step explanation:
3.7778 = 3 7/9
3.75 = 15/4
3.587
3.58
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Sandy bought a car for $17,500. Her monthly car payment is $346. The first month the amount applied to the principal is $283 and the interest amount is $63 Assume that each month the amount applied to the principal increases by $1 and the interest amount decrease by $1 Which spreadsheet shows the amount of interest she paid in the six months?
Answer:
I'm not quite sure how to point to which graph exactly, but I will tell you that it is the one that principal increases by one for six months, and interest decreases. It has "Month, Principal, Interest, and Total" written across the top in bold. Down the left-hand side, it has numbers 1-6. On the bottom, the first total is $363, and the second is $2076.
Step-by-step explanation:
There is very limited math involved in this question. The first step is to find a graph where each month, the principal number increases by one dollar and the interest decreases by one dollar. This should go on for six months. We can now eliminate two graphs. For a third, you must remember that the interest starts in the sixty, and the principal payment is in the two hundred eighties. By now, we have our graph. The final step to double-check this is to add up the total interest and principal (which should be on the side). All totals should be $346 as we're basically just trading one number for another (-1+1). You should also go to the bottom and fill in the blank in the principal column. In this box, you should put the total of all principals together.
Hope this helps!
please help!!!!!!!!!!!!
Answer:
I think the answer is 16 mm.
A small single engine airplane flies 120 miles in 2 hours against the wind (headwind). It then turns around and flies 240 miles in 2 hours with the wind (downwind). How fast is the airplane flying? What speed is the wind blowing at?
The speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.
Relative Speed Concept;When the plane flies against the wind;
Relative Speed = 120 = x -yWhen the plane flies with the wind;
Relative Speed = 240 = x +yWhere in;
The speed of the air plane = xThe speed of the wind = yBy solving the equations simultaneously; we have;
x = 180 miles in 2 hours and y = 60 in 2 hours.Ultimately, the speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.
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please im begging for someones help
Answer:
27+5x
Step-by-step explanation:
The sequence 2, 9, 20, 35, … is illustrated in the art below. What is the 50th term of this sequence?
Answer:
Answer:
345 is the answer
Step-by-step explanation:
use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!
help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.
Calculate the equation of the line through the points (-1, 1), (4.0), and (24,-4).
A y = 5x + 6
B y= 1/5x + 4/5
C y= -5x + 4
D y= -1/5x +4/5
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line
m = \(\frac{-4-1}{24+1}\) = \(\frac{-5}{25}\) = - \(\frac{1}{5}\) , then
y = - \(\frac{1}{5}\) x + c ← is the partial equation
To find c substitute any of the 3 points into the partial equation
Using (4, 0 ) , then
0 = - \(\frac{4}{5}\) + c ⇒ c = 0 + \(\frac{4}{5}\) = \(\frac{4}{5}\)
y = - \(\frac{1}{5}\) x + \(\frac{4}{5}\) → D
In mrs.thomas’ class, 16 of the students received A’s and 20 received B’s. In mr.carls class 12 students received a’s and 15 recived b’s which class has a lower ratio to a’s and b’s
Mrs Thomas' and Mr Carl's classes both have same lower ratio of A's to B's which expressed in the lowest term as 4:5 or fraction as 4/5
Expression of ratio as fractionsRatio is used to compare values, and can be expressed as fractions.
Mrs Thomas' class have the ratio of students her students A's to B's as 16:20. And can be expressed as fraction in its lowest term as follows:
16:20 = 16/20
16:20 = 4/5
Mr Carl's class have the ratio of students her students A's to B's as 12:15. And can be expressed as fraction in its lowest term as follows:
12:15 = 12/15
12:15 = 4/5
Therefore, since the lowest form of Mrs Thomas' class and Mr Carl's class ratios of A's to B's are equal, then both class have equivalent lower ratio of A's to B's.
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