Answer:
not sure, but I do know 1.4 + x would be 1.4x then .4
there are 24 apples how many Sims can even wish are these apples
Answer:
6applies
Step-by-step explanation:
because 24 apples+6=30 right right right
Assume we have a machine that uses 1 byte for a short int and 2 bytes for an int. What's the decimal value of z after running the following code. short int x = -36; // binary sequence is 11011100 int y = x; unsigned int z = y;
The decimal value of 'z' after running the given code is 220.
The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.
Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.
Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.
In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.
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In the right triangle shown in the diagram below, what is the value
of x to the nearest tenth?
259
18
PREVIOUS ANSKET
613.3
Answer:
19.87
Step-by-step explanation:
Cosine of 25° = 0.906 = x/18
so x= 19.87
Complete the following equations with the correct values.
sin(____) = cos(75)
cos(x) = sin(____-x)
Answer:
first blank: 15
second blank: 90
Step-by-step explanation:
Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:
sin(____) = cos(75)
the angles have to add up to 90 (complementary)
What + 75 is 90?
Do a tiny calc:
90 - 75 is 15
The second question is stating the rule generically.
x + (90 - x) is 90
.(a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using LâHôpitalâs Rule if necessary. (c) Use a graphing utility to graph the function and verify the result in part (b). lim_(xâ0^+) [cos(Ï/2 - x)]^x
The type of indeterminate form obtained by direct substitution in the given limit is 1^∞, where 1^∞ is not a determinate form and its value is not always predictable.
Applying L'Hôpital's Rule to the limit, we get:
lim_(xâ0^+) [cos(Ï/2 - x)]^x = lim_(xâ0^+) e^[x ln(cos(Ï/2 - x))]
Now, applying L'Hôpital's Rule to the exponent, we get:
= lim_(xâ0^+) e^[x (-tan(Ï/2 - x))]
= e^0 = 1
Therefore, the limit is equal to 1.
Using a graphing utility to graph the function, we can see that the limit approaches 1 as x approaches 0 from the right side. Therefore, the result obtained using L'Hôpital's Rule is verified by the graph.
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please simplify this
Answer:
It might be -15x^2y
Step-by-step explanation:
Hopefully thats right lmk if I got it wrong
Evaluate the function.
f(x) = x^2-4
Find f(5)
Answer:
\(f(x) = {x}^{2} - 4 \\ f(5) = {5}^{2} - 4 \\ = 25 - 4 = 21 \\ thank \: you \)
The areas of two similar squares are 16m2 and 49m2 what is the scale factor of their side lengths
Given:
The areas of two similar squares are 16m² and 49m².
To find:
The scale factor of their side lengths.
Solution:
We know that the ratio of the areas of the similar squares is proportional to the ratio of square of there sides.
\(\dfrac{\text{Area of first square}}{\text{Area of second square}}=\dfrac{(\text{Side length of first square})^2}{(\text{Side length of second square})^2}\)
\(\dfrac{16\ m^2}{49\ m^2}=\dfrac{s_1^2}{s_2^2}\)
\(\dfrac{4^2}{7^2}=\left(\dfrac{s_1}{s_2}\right)^2\)
\(\left(\dfrac{4}{7}\right)^2=\left(\dfrac{s_1}{s_2}\right)^2\)
Taking square root on both sides, we get
\(\dfrac{4}{7}=\dfrac{s_1}{s_2}\)
\(\dfrac{s_1}{s_2}=\dfrac{4}{7}\)
Now, the scale factor is the ratio of side length of second square to the side length of first square.
\(k=\dfrac{s_2}{s_1}\)
\(k=\dfrac{7}{4}\)
Therefore, the scale factor of their side lengths is \(k=\dfrac{7}{4}\).
Answer: 4/7 is the right answer on Acellus
Step-by-step explanation:
why is math so much work their are like so many steps you need to remember and it's just to much on my brain.
Answer:
ik my head be harding so much
Step-by-step explanation:
like take it out
Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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Students in a ninth grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 cm. Which inequality represents the range of heights?
A. h > 155 or h < 190
B. 155 ≤ h ≤ 190
C. 155 < h < 190
D. h ≥ 155 or h ≤ 190
Answer:
a h>155 or h<190
Step-by-step explanation:
The height of the shortest student is 155 cm and the height of the tallest student is 190 cm, then the inequality shows the range is 155 ≤ h ≤ 190. Hence, option B is correct.
What is an inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the provided data in the question,
The height of the shortest student is 155 cm and,
The height of the tallest student is 190 cm.
It means that the height rage is starting from 155 cm and ending at 190 cm.
The shortest height should be at least equal to 155 cm and the greater height is maximum 190 cm.
Therefore, the inequality according to this is 155 ≤ h ≤ 190.
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Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=
The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).
For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.
To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.
In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.
Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.
Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
Here's a sketch to visualize the calculation:
|
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
-------------------|--------------------------
18.9 | 20
The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.
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if you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 16 inches, what diameter pizza (in inches) will reward you with the largest slice?
The diameter of the pizza is 8.96 inches then we get the largest slice of the pizza.
Given, we are offered one slice from a round pizza and the perimeter of the slice is 16 inches.
so, the largest slice in the pizza will have an angle of 90° at the center.
Now, Perimeter of the slice = length of the arc + 2 × radius
16 = 1/4×2πr + 2r
16 = πr/2 + 2r
16 = 3.57r
r = 4.48
So, the diameter of the pizza is 8.96 inches.
Hence, the diameter of the pizza is 8.96 inches then we get the largest slice of the pizza.
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Consider the quadratic function f. f(x)=x −8x+15 Solve for y int , the value of the y-intercept on the graph of y=f(x), and x int , the value(s) of the x-intercept(s). Then, enter the coordinates of the parabola's vertex. (Use symbolic notation and fractions where needed. Enter coordinates in the form (*,*). If multiple solutions are possible, er them in a comma-separated list.) y int x int = (x,y)
The y-intercept of the graph of y = f(x) is y_int = 15. The x-intercepts of the graph are x_int = (3, 0) and x_int = (5, 0). The coordinates of the vertex of the parabola are (4, -1).
To find the y-intercept, we set x = 0 in the equation of the quadratic function f(x) = x^2 - 8x + 15:
f(0) = (0)^2 - 8(0) + 15 = 15
So, the y-intercept is at y = 15.
To find the x-intercepts, we set y = 0 in the equation:
x^2 - 8x + 15 = 0
We can factorize this quadratic equation:
(x - 3)(x - 5) = 0
Setting each factor to zero, we find the x-intercepts:
x - 3 = 0 --> x = 3
x - 5 = 0 --> x = 5
Therefore, the x-intercepts are at x = 3 and x = 5.
To find the coordinates of the vertex, we can use the formula for the x-coordinate of the vertex of a quadratic function given by x = -b/2a, where a and b are the coefficients of the quadratic function.
For our quadratic function f(x) = x^2 - 8x + 15, we have a = 1 and b = -8.
x = -(-8) / (2 * 1) = 8 / 2 = 4
Substituting x = 4 into the quadratic function, we find the y-coordinate of the vertex:
f(4) = (4)^2 - 8(4) + 15 = 16 - 32 + 15 = -1
So, the coordinates of the vertex are (4, -1).
The y-intercept of the graph of y = f(x) is y_int = 15. The x-intercepts are x_int = (3, 0) and x_int = (5, 0). The coordinates of the vertex of the parabola are (4, -1).
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With reference to the figure, sin X equals?
1.) 0.250
2.)0.447
3.)0.894
4.)1
Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
\( sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 \) (nearest thousandth)
Answer:
Hey! The correct answer is the third option, I just took the test and it was correct
Step-by-step explanation:
3.) 0.894
What is 2.3 x 2.3 please give a step-by-step explanation
Answer:
5.29
Step-by-step explanation:
Add it like normal, then move the decimal point.
Homework: WEEK 3 ASSIGNMENT - CHAPTER 3 & 4
Question 9, P 4-4 (similar to)
HW Score: 25.76%, 2.83 of 11 points
Points: 0 of 1
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Part 1
You have a balance of
$5,000
on your credit card, which charges an interest rate of
1.5%
per month. Looking at yourbudget, you figure you can make the following payments. Will they be enough to pay off your credit card?
Month
1
2
3
4
5
6
7
8
Payment
$490
$550
$610
$670
$730
$790
$850
$910
Question content area bottom
Part 1
(Select from the drop-down menus.)
The present value of your payments is
▼
smaller than
larger than
equal to
the amount of the loan, so you
▼
will not
will
be able to pay off the loan.
The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.
The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.
Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.
In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.
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five less than twice a number is greater than ten times a number
Answer:
2x - 5 > 10x
Step-by-step explanation:
Hope This Helps!
Plz mark Brainliest!
If the PPF is a downward-sloping straight line, then the law of increasing opportunity cost does not hold. Instead, the opportunity cost of producing an additional unit of good 1 or good 2 remains constant as more of either is produced (i.e., there are constant opportunity costs in production).
A straight line PPF indicates constant opportunity costs in production is TRUE.
The Production-Possibility Frontier (PPF) is a graphical representation of the maximum amount of two goods that can be produced given a certain number of resources.
If the PPF is a straight line, then the opportunity cost of producing an additional unit of one good is the same regardless of how much of that good is already being produced. This means that the resources used to produce the two goods are perfectly substitutable and there are no increasing opportunity costs.
However, if the PPF is a curved line, then the opportunity cost of producing an additional unit of one good increase as more of that good is produced. This is because the resources used to produce the two goods are not perfectly substitutable and there are increasing opportunity costs.
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A steam engine for pulling trains has wheels of diameter 1.5 metres.
The steam engine travels 1000 metres along a test track.
Work out the number of complete turns of a wheel.
Answer:
The wheel completed a total of 212 turns.
Step-by-step explanation:
A wheel has a circular form, therefore its length is given by the following formula:
\(length = 2*\pi*radius\)
Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:
\(length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124\)
Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:
\(turns = \frac{1000}{4.7124} = 212.21\)
The wheel completed a total of 212 turns.
I need help please!!!
Answer:
40 degrees
Step-by-step explanation:
help please I'm to stupid for this
Answer:
X>0, so the second one
Step-by-step explanation:
Since the point on 0 is OPEN that means the number (0) is NOT part of the solution. Therefore, X is greater than 0.
Is the coordinates of a point are 3 and 4?
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
Find the equation of the lines passing through the point A(3,-4) and (1)parallel, (2)perpendicular to the line 4x+3y=8.If these lines meet the line 2x+y=1 in points B and C ,find the area of triangle ABC.
In a one-way ANOVA, the null hypothesis is always a. all the population means are different b. there is no treatment effect. c. there is some treatment effect. d. some of the population means are different.
The null hypothesis in a one-way ANOVA test is that there is no treatment effect. This means that the mean scores of the groups being compared are not significantly different. The one-way ANOVA test is a statistical method used to compare the means of three or more groups.
The one-way ANOVA test requires that certain assumptions be met, including that the data is normally distributed and that the variances of the groups being compared are equal. If these assumptions are met, then the test can be used to determine whether there is a significant difference between the means of the groups. The test works by comparing the variability between the groups to the variability within the groups.
If the variability between the groups is larger than the variability within the groups, then it is likely that there is a significant difference between the means of the groups. The alternative hypothesis in a one-way ANOVA test is that there is some treatment effect, which means that at least one of the group means is different from the others.
If the null hypothesis is rejected, then the alternative hypothesis is accepted, and it can be concluded that there is a significant difference between the means of the groups. The one-way ANOVA test is useful for determining whether there is a significant difference between the means of several groups, but it does not provide information about which specific group means are different. To determine which group means are different, post hoc tests can be performed.
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Hurry I'm timed please
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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please help making brainliest if correct
Answer:
SAS CONGRUENCYStep-by-step explanation:
HOPE IT HELPSWith the markings on each triangle you are being told 2 sides are identical and that 1 angle is identical.
You would use B. SAS
What is 16/1/9+-4/2/3? helppp
Answer:
20 7/9
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM!!!!!!!!!!
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Answer: x = 30
Step-by-step explanation:
Since AB and CD are straight lines, vertical angles formed by them are congruent. Angle DOB is equal to angle AOC which is equal to 2x. Since you know that a straight angle is equal to 180 degrees, you can say :
2x + 90 + x = 180
3x + 90 = 180
3x = 90
x=30
Hope this helped :)