Answer:
6a C; 6b C
8: b.2 and d.15/4
Step-by-step explanation:
Answer:
1 mile = 5,280 feet
or
Step-by-step explanation:
So your case, since the given is already 35 miles per hour the only conversion that needs to be done to convert it into feet per hour would be the conversion of miles into feet.
what is the answer to this please?
-3(x+2)+5x = -9
Answer:
\(-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}\)
Divide negative 6 and 2 over 5 ÷ negative 4 and 3 over 7. Negative 224 over 155 224 over 155 negative 519 over 35 519 over 35
By dividing we get: -6/2 ÷ 5 = -6/10 = -3/5, -4/3 ÷ 7 = -4/21, -224 ÷ 155 = -1.445, 224 ÷ 155 = 1.448, -519/35 = -14.83, 519/35 = 14.83.
.
To divide fractions, we need to remember the rule: "invert and multiply." This means that we take the reciprocal of the second fraction and then multiply it by the first fraction. For example, to divide -6/5 by 2/5, we invert 2/5 to get 5/2 and then multiply it by -6/5 to get -6/5 x 5/2 = -15/2. Similarly, to divide 224/155 by -1, we invert -1 to get -1/1 and then multiply it by 224/155 to get -224/155. To divide 519/35 by itself, we simply get 1 as the answer.
Learn more about division here: brainly.com/question/21416852
#SPJ4
Complete question:
Divide:
1. negative 6 and 2 over 5
2. negative 4 and 3 over 7
3. negative 224 over 155
4. 224 over 155
5. negative 519 over 35
6. 519 over 35
How many integers (whole numbers are between 5/2 and 20/3
There are four whole numbers or integers between 5/2 and 20/3.
To determine the number of whole numbers between 5/2 and 20/3, we need to understand what whole numbers are.
Whole numbers are non-negative numbers that do not have fractional or decimal parts. They include the numbers 0, 1, 2, 3, and so on.
In the given interval, 5/2 is equal to 2.5 and 20/3 is approximately equal to 6.67.
We are looking for whole numbers within this range.
The whole numbers between 5/2 and 20/3 are 3, 4, 5, and 6.
Hence, there are 4 whole numbers.
Learn more about whole numbers here:
https://brainly.com/question/30765230
#SPJ11
solve the inequality m - 3 less than -2
Answer:m>1
Step-by-step explanation:
You add 3 to both sides because you minusing the 3. Then since your working with a negative you have to switch the signs
Fathi has $1.10 in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?
Answer: Faith's printing account balance will become $-1.90, or $1.90 below 0.
Step-by-step explanation:
Each sheet of paper can print 4 pages. Since it is 47 pages long, she will need 12 pages. That will cost 3 dollars, since 0.25x12=3. 1.10-3=-1.90 dollars, which means that she is $1.90 in debt.
i need this quickly please
Find the work required to pitch a 6. 3oz softball at 85ft/sec. The work required to pitch a 6. 3oz softball at 85ft/sec is ft−lb. (Do not round until the final answer. Then round to the nearest tenth as needed. )
Step-by-step explanation:
The kinetic energy = 1/2 mv^2 starts at zero
the work required is the kinetic energy the ball attains
6.3 ounce = 6.3 /16 = .39375 lb
KE = 1/2 ( .39375 lb)/ ( 32.2 ft/s^2) * ( 85 ft /s)^2 = 44.17 ft-lbs
b. suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm?
The average waist size of the population is 85 cm, and the standard deviation is 15 cm. then A sample mean waist size of at least 86.3 cm has a 0.931 probability of occurring.
We can use the Z-score formula to find the probability.
Z = (86.3 - 85) / (15 / sqrt(277))
Z = 0.2 / 0.106
Z = 1.89
The probability of a sample mean waist size of at least 86.3 cm is 0.931.
Learn more about probability here
https://brainly.com/question/12226830
#SPJ4
What list all of the y-intercepts of the graphed functions?
The coordinate of the y-intercept of the given quadratic graph is: (0, -3)
What is the coordinate of the y-intercept?The general form of the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The general form of quadratic equations is expressed as:
y = ax² + bx + c
Now, from the term y-intercept, we know that it is the point where the graph crosses the y-axis and as such, we have the coordinate from the graph as:
(0, -3)
Read more about y-intercept at: https://brainly.com/question/26249361
#SPJ1
The difference of twice a number and 3 is -21 translated
Answer:
2x-3=-21.
2x=-21+3.
2x=-18.
x=-18/2.
x= -9.
Answer:
\(\Huge \boxed{2x-3=-21}\)
Step-by-step explanation:
Let the number be x.
The difference of two values is the result from subtracting them.
\(2x-3=-21\)
Add 3 to both sides.
\(2x=-18\)
Divide both sides by 2.
\(x=-9\)
The number is -9.
Help pleaseeeeeeeeee
1. At the beginning of the month, Michael had $22 in his account at the school bookstore. Use a variable to represent the
unknown quantity in each transaction below and write an equation to represent it. Then represent each transaction on a
number line. What is the unknown quantity in each case?
First he bought some notebooks and pens that cost $16.
Then he deposited some more money and his account balance was $27.
Then he bought a book for English class that cost $39.
Then he deposited exactly enough money so that he paid off his debt to the bookstore.
Answer: -6
Step-by-step explanation: $22 - $16 + $27 - $39 = -6
Symbol equation --> a - b + c - d = x
we are willing to regard the wood pieces prepared for the lab session as an srs of all similar pieces of douglas fir. engineers also commonly assume that characteristics of materials vary normally. make a graph to show the shape of the distribution for these data. does it appear safe to assume that the normality condition is satisfied?
If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.
To determine if the normality condition is satisfied, you can follow these steps:
1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.
2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.
3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.
4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.
5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.
For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.
Learn more about histogram:
https://brainly.com/question/25983327
#SPJ11
Which quadrilateral has four right angles and four sides of equal length?
Answer:
Square.
Step-by-step explanation:
A square is a rectangle, but a rectangle is not a square.
Answer:
A square
Step-by-step explanation:
The file below can help you out understand the properties of the square better!
Cuál es el valor principal de sin−1(1)?
The maximum value of the sine function is 1, the angle corresponding to sin^(-1)(1) is π/2 or 90 degrees.
The principal value of sin^(-1)(1) is π/2 or 90 degrees.
The function sin^(-1)(x), also known as arcsin(x) or inverse sine, represents the angle whose sine is equal to x. In this case, we are looking for the angle whose sine is 1.
Since the sine function oscillates between -1 and 1, the angle corresponding to sin^(-1)(1) is the maximum value where the sine is equal to 1.
This occurs at π/2 or 90 degrees, making it the principal value for sin^(-1)(1).
for such more question on maximum value
https://brainly.com/question/7352919
#SPJ8
Approximate the sum of the series correct to four decimal places. [infinity] (−1)n 5nn! n = 1
To approximate the sum of the series [infinity] (−1)n 5n/(n!), we can use the alternating series test. To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.
1. The alternating series test states that if a series (-1)n an is such that the absolute value of the terms decrease and tend to zero as n approaches infinity, then the series converges.
2. In this series, the terms (-1)n 5n/(n!) decrease as n increases because the factorial term in the denominator grows faster than the exponential term in the numerator.
3. Therefore, we can conclude that the series converges.
The sum of the series [infinity] (-1)n 5n/(n!) converges.
To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.
To know more about alternating series test visit:
https://brainly.com/question/30761258
#SPJ11
What is the value of b2 4ac for the following equation x2 5x 4 0 16 25 9 next question?
The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.
What is the discriminant of a polynomial?
The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.
It is represented as ‘D’
D = b² - 4ac
Where,
a is the coefficient of x²
b is the coefficient of x
c is a constant term
x² + 5x + 4 = 0
We have given:
x² + 5x + 4 = 0
Comparing the equation with the standard form.
a = 1, b = 5 and c = 4
Substituting it in the formula
D = 5² - 4 × 1 + 4
By further calculation
D = 25 - 16
D = 9,
The quadratic roots are real and distinct
Therefore, the value of b² - 4ac is 9.
Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.
To learn more about the discriminant of a polynomial visit,
https://brainly.com/question/272234
#SPJ4
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
38
to
83°
Answer:
71°
ineedatleast20characters:)
Where is the mean on a box plot?
The mean is represented by a line that divides the box plot into two equal parts. It is placed at the center of the box plot, between the lower and higher quartiles.
The mean is represented by a line in the box plot, which divides the box plot into two equal parts. This line is placed in the center of the box plot, between the lower and higher quartiles. The mean is the average of all the values within the data set, and is represented by the line in the box plot. It is the midway point between the highest and lowest values of the data set. The mean can help to give a better understanding of the data set by providing an overall average of the data. It can be used to compare the data set to other sets of data, as well as to identify outliers within the data set. The mean can be used to identify trends within the data set, and to make predictions about future data sets or events.
Learn more about mean here
https://brainly.com/question/15323584
#SPJ4
Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49
Answer:
B. (x-5)²+(y+1)² = 49
Step-by-step explanation:
An equation of a circle with center (h, k) and radius r is
\( \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }\)
We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7
Substitute these values in
\( \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }\)
So the answer is B choice.
the output is 5 less than the input
Answer:
x - 5
Step-by-step explanation:
Let the input be x
Therefore, output = x - 5
hiii help pls! tysmmm!
if expected frequencies are not all equal, then we can determine them by enp for each individual category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are equal, then we can determine them by , where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. goodness-of-fit hypothesis tests may be left-tailed, right-tailed, or two-tailed.
If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.
On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.
Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.
Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.
Learn more about probabilities here :-
https://brainly.com/question/29381779
#SPJ11
I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!
Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9
Answer:
y=-3x-14
Step-by-step explanation:
y=mx +c
m= 1/3
perp m= -3
goes through point (6,-4)
sub numbers
.
Molly has lots of legos at home but is always looking for more. She found a
good deal online to buy more, enough to double her collection. Her mother
thought she had too many so she allowed her to keep a third of her legos
and made her donate the rest. In time, however, she was able to buy
sixteen less than three times her original amount. If she has 1634 legos
now, what was her original amount?
Answer:
495
Step-by-step explanation:
initial amount = x
donated = 2/3x
left with = 1/3x
bought = (3x-16)
total now = 1634
Therefore, (3x-16) + 1/3x = 1634
Multiply through by 3 = 9x-48+1x = 4902
10x = 4950
x = 495
What is the image of (7,8) after a reflection over the line y = –x
Answer:
(-7. -8) Just flip the signs.
Answer:
\(\boxed {\boxed {\sf (-8,-7)}}\)
Step-by-step explanation:
When a point is reflected over y=-x, the following change occurs:
\((x,y)\) ⇒ \((-y, -x)\)
We are given the point (7,8).
Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.
1. Change the signs
\((7,8)\) ⇒ \((-7,-8)\)
2. Flip the x and y coordinates
\((-7,-8)\) ⇒ \((-8,-7)\)
So the image of (7,8) after a reflection over y=-x is (-8,-7)
Helppp!!!!!!!!!!!!!!!!!!!!!
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
Read more on sum of interior angles here: brainly.com/question/13293407
#SPJ1
An item is priced at $14.61. If the sales tax is 8%, what does the item cost including sales tax?
Answer:
(1.08)($14.61) = $15.78
A = 64 cm
ABC
A = 225 cm
In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
А
Find the area of the triangle then apply Pythagorean Theorem
B
Subtract the area of the squares and then apply Pythagorean Theorem
С
Add the areas of both squares together and then apply Pythagorean Theorem
D
Find the lenath of one side of each square and then apply the Pythagorean Theorem
Answer:
The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.
Step-by-step explanation:
Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)
The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.
Given :
Area of the small square is 64 \(\rm cm^2\).Area of the larger square is 225 \(\rm cm^2\).The side length of the smaller square can be calculated as:
\(a^2 = 64\)
a = 8
The side length of the larger square can be calculated as:
\(b^2 = 225\)
b = 15
So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.
\(\rm H^2=P^2+B^2\)
Now, substitute the values of known terms in the above expression.
\(\rm H^2=(8)^2+(15)^2\)
\(\rm H = \sqrt{64+225}\)
H = 17 cm
Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.
For more information, refer to the link given below:
https://brainly.com/question/25834626
Solve the system x − y = 37 , x−y = −3
Responses
No sol
many sol
(1,-4)
(2,-8)
Answer:
Step-by-step explanation:
No sol because 37=-3 is false
Answer:
no answer
Step-by-step explanation:
in first equation x-y= 37 make y in the other side then it will be x=37+y
substitute x in the second equation which is x- y= -3
then it will be
37+y-y= -3
there will be no answer