Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.Hence the point lies within the circle .
Answer:
inside the circle
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with r = [tex]\sqrt{25[/tex] = 5
Calculate the distance d from the centre to the point (- 4, 2 ) using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 4, 2)
d= [tex]\sqrt{(-4-0)^2+(2-0)^2}[/tex]
= [tex]\sqrt{(-4)^2+2^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= [tex]\sqrt{20}[/tex]
≈ 4.5 ( to 1 dec. place )
Since 4.5 is less than the radius of 5
Then (- 4, 2 ) lies inside the circle
In a study of author productivity, a large number of authors were classified according to the number of articles they had published during a certain period. The results were presented in the accompanying frequency distribution:
Number of papers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Frequency 708 204 127 50 33 28 19 19 6 7 6 7 4 4 5 3 3
Required:
Construct a histogram corresponding to this frequency distribution.
Answer:
Follows are the response to this question:
Step-by-step explanation:
It is the most important positive skewness of the data is the distribution.
Notes:
Another approach for Mini-tab to generate a graph from the data set is through the capability of Mini-tabs, for instance, to type 784(1) in 784 copies of its number 1, to input multiple copies of the same number. Frequency data were input with both the following attached file mini-tab directions in this workout:
Which images are tessellations?
Image 1 and 4
Image 3 and 2
Image 1 only
Image 3 and 4
Option - D - Image 3and 4 is correct
We have the following images.
We have to classify which image is a tessellations.
What are tessellations?tessellations is also called tiling which involves the covering up of rigid plane surface using the geometric shapes (tiles) ensuring that these shapes don't overlap and leave no gap.
In the image 3, we have a geometric shape called triangle which is used as a tile to cover the surface. These shapes don't overlap and leave no gap as they perfectly fit with one another. Similar is the case with image 4, where hexagonal tiles are used. Therefore, image 3 and 4 are tessellations. The images 1 and 2 does not have any predefined geometric shape and nothing can be said about their perfect fit. Hence these are not tessellations.
Hence, Option - D is correct.
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Please answer the following screenshots correctly.I will give brainliest
You open a case of Cherry Coke from the garage to put cans in the refrigerator. You put the
85°F cans in the 36°F refrigerator. After 5 minutes, the can temperature has gone down to
71°F. Find the constant "k" using Newton's Law of Cooling.
9514 1404 393
Answer:
k ≈ -0.06729
Step-by-step explanation:
The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.
k = ln(35/49)/5 ≈ -0.06729
__
The equation for the temperature T of the can in the refrigerator is ...
T = 49e^(-0.06729t) +36
_____
Additional comment
Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.
The temperature at 12 p.m. was - 12 degrees farenheit
Answer:
what are you asking
Step-by-step explanation:
The area of a rectangle is 350 square meters. Find its width if its length is 50 meters
Step-by-step explanation:
For a given rectangle,the area(A) is the product of its length and width
A=lw, given A=350m² and l=50m
transposing the equation for w gives w=A/l
w=350m²/50m=7m
That's it
Can someone please help me?
Answer:
43% probability of being moderate
Step-by-step explanation:
Since the formating is a little messed up, I assumed that the first column was liberal, second was moderate, and the third was conservative.
Find the measure of each numbered angle or are.
Answer:
<1 = 138degrees
<2 = 156degrees
Step-by-step explanation:
From the diagram given;
angle at the vertex = 36degrees
Angle at the intercepted arc are <1 and 66degrees
Using the theorem;
Angle at the vertex is 1/2 the difference of the angles at the intercepted arcs
36 = 1/2(<1-66)
36*2 = <1-66
72 = <1 - 66
<1 = 72+66
<1 = 138degrees
Also since the sum of angle in a circle is 360degrees, hence;
<1 + <2 + 66 = 360
138 + <2 + 66 = 360
<2 + 204 = 360
<2 = 360 - 204
<2 = 156degrees
Does the graph of f (x) = -(x+6)2 have a maximum or a minimum?
Answer:
the quadratic function has a maximum as it is opened downwards.
Step-by-step explanation:
pls mark brainliest if you could! hope this helped!
A marble is drawn from the pictured bag and then returned. Find the probability of the event
Answer:
There's no pictured bag so I'll have to say 1/2 or 1/12
Step-by-step explanation:
Solve equation by using the quadratic formula.
25x^2 + 35x = -12
The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?
Answer: 1/2
First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.
what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]
om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev
5,203,870,272
Step-by-step explanation:
8×3^14×136
=(8)(4782969)(136)
=(38263752)(136)
=5,203,870,272
i think this is the answer
The mean area of homes in a certain city built in 2009 was 2438 square feet. Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,293 square feet, with a standard deviation of 225 square feet. An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009. Compute the P-value of the test. Write down your P-value. You will need it for the next question.
Answer:
The p-value of the test is 0.029.
Step-by-step explanation:
The mean area of homes in a certain city built in 2009 was 2438 square feet.
An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009.
This means that at the null hypothesis we test if the mean is the same as in 2009, that is:
[tex]H_0: \mu = 2438[/tex]
At the alternate hypothesis, we test that if it is less, than is;
[tex]H_a: \mu < 2438[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
2438 is tested at the null hypothesis:
This means that [tex]\mu = 2438[/tex]
Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,293 square feet, with a standard deviation of 225 square feet.
This means that [tex]n = 11, X = 2293, s = 225[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{2293 - 2438}{\frac{225}{\sqrt{11}}}[/tex]
[tex]t = -2.14[/tex]
Compute the P-value of the test.
Probability of finding a mean less than a value(in this case, 2293) is a one-tailed test.
The pvalue is found for a one-tailed test, with t = -2.14 and 11 - 1 = 10 degrees of freedom. With the help of a calculator, the pvalue of the test is of 0.029
The p-value of the test is 0.029.
Area of traingle and rectangle
More coming!!
Answer:
20cm2
Step-by-step explanation:
area of triangle :
1/2 x b x h
= 1/2 x 8 x 5
=20 cm 2
I would appreciate it if someone could help answer this problem:)
Answer:
[tex]x=85^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of any polygon with five sides is equal to [tex](5-2)\cdot 180=3\cdot 180=540^{\circ}[/tex]. Therefore, we can set up the following equation and solve for [tex]x[/tex]:
[tex]115+95+115+130+x=540,\\455+x=540,\\x=\boxed{85^{\circ}}[/tex]
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
A
Step-by-step explanation:
It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.
What is the remainder of 3x³ - 2x² - 7x +6 divided by x+1? Is x+1 a factor of the polynomial?
Answer:
x+1
Step-by-step explanation:
[tex]\lim_{n \to \infty} x+5x[/tex]
Step-by-step explanation:
are your sure about the question you sent
he sayin n to the infinite and there is no n in the F(n) so its x+5x
if you mean x to the infinite
the answer will be infinite
hopefully its correct
please help asap what is m A
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Answer:
∠A = 66°
Step-by-step explanation:
The other base angle (∠B) of this isosceles triangle is also 57°. Of course, the total of all angles is 180°, so we have ...
∠A +∠B +∠C = 180°
∠A + 57° + 57° = 180° . . . fill in the known numbers
∠A = 66° . . . . . . . . . . . . . subtract 114° from both sides
53.333 as a mixed number
Answer:
53 1/3
Step-by-step explanation:
Because 53 and then .3333333333 as fraction
Answer: 5333/10000
Step-by-step explanation:
53.33/100 = (53.33 x 100)/(100 x 100) = 5333/10000
What is the distances between (3, 10) and (3, -8)
Answer:
(0,-12)
Step-by-step explanation:
is this what your looking for? what form would you like me to answer this in?
I only have 10 min left please A major corporation has branch offices in eight major cities in the United States and Canada. The company president wants to how many different trip combinations are possible? Is permutation or combination
Answer:
Combination
Step-by-step explanation:
Permutation is the act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
Jasmine made a new line plot for the lengths of another set of strings that the art teacher gave her for a new project. Two line plots are given. 1st line plot named as ALTDCString Lengths for Craft ProjectALTDC shows a number line from 6 to 14. The number line is divided into 4 equal parts. 1 cross on 6, 2 crosses on 8, 4 crosses on 12 and 1 cross on 14 is given. 2nd line plot named as ALTDCString Lengths for New ProjectALTDC shows a number line from 6 to 14. The number line is divided into 4 equal parts. 2 crosses on 8, 3 crosses on 10 and 3 crosses on 12 is given. Which of the following statements are true about the string lengths for the first craft project and the new project? Select all that apply. A. There are half as many 12-inch strings for the new project as for the craft project. B. There are twice as many 8-inch strings for the craft project as for the new project. C. Jasmine has the same number of strings for the new project as for the craft project. D. The total length of the strings for the craft project is greater than the total length for the new project. E. The length of the longest string is the same for both projects.
Answer:
C - Jasmine has the same number of strings for the new project as for the craft project
D - The total length of the strings for the craft project is greater than the total length for the new project.
The length of all the strings combined is 84 inches, while the length of the smallest string is 6 inches.
What is a line plot?A line plot is a graph that shows the frequency of each value by displaying data as points or checkmarks above a number line.
here, we have,
In the given line plot, if we consider each of the options with the plot given to us, we will get to know which of the options are true or not.
A.) A. The difference between the longest length and shortest length is 14 inches.
As given in the plot, the longest string is 14 units while the smallest is 6 units, therefore, the first option is incorrect.
B.) I have twice as many 12-inch strings as I do 8-inch strings.
In the plot since the number of dots represents the number of strings of a particular length, therefore, the number of strings of length 12-inches is 4 and the number of strings of length 8-inches is 2. Thus, the given options are correct.
C.) The total length of string that I have is 84 inches.
As per the plot, the number of strings of length 6 inches is 1, the number of strings of length 8 inches is 2, the strings of length 12inches is 4, and the number of strings of length 14 inches is 1. Thus, the sum of the length of all the strings is 84 inches.
Hence, the statement is correct.
D.) I cannot determine what the shortest string is by looking at my line plot.
As given in the plot, the length of the smallest string is 6 inches, thus, the statement is incorrect.
E.) Since I need 100 total inches of string for my project, I have enough string.
As the length of all the strings combined is just 84 inches, thus, the statement is incorrect.
Hence, the only option that is correct is 'B' and 'C'.
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Tim has 5 yellow and 10 blue marbles in a bag.
What is the probability of randomly choosing a yellow marble from the bag? Enter your response as a fraction in lowest terms.
Answer:
1/3
Step-by-step explanation:
add to 15
so 5/15
simplify 1/3
Help plz:)))I’ll mark u Brainliest
Answer:
x = 5.5
Step-by-step explanation:
tan 20° = [tex]\frac{x}{15}[/tex]
[tex]\frac{36397}{100000} =\frac{x}{15}[/tex]
100000x = 5459
x = 5.459
The plot below shows the ages of residents at Oak Creek Assisted Living. The black dots represent residents in the east wing, and the gray dots represent residents in the west wing. Use the plot to answer the following question.
Answer:
There isn't a plot
Step-by-step explanation:
Which of the sequences is an arithmetic sequence?
Answer:
D
Step-by-step explanation:
Answer:
letter D is the correct answer
Step-by-step explanation:
hope it helps
indicate the equation of the given line in standard form. the line that contains the point q(1,-2) and is parallel to rhe line whose equation is y-4=2/3(x-3)
Since the lines are parallel they have the same slope 2/3. use point slope form to get,
y+2=2/3(x-1)
y+2=2/3x-2/3
y=2/3x-8/3
3y=2x-8
2x-3y=8
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Tiana final number if her starting number is 23
Answer:
there is no context at all