Answer:
center = (-8, 7)
radius = 8 units
Step-by-step explanation:
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Rewrite the given equation:
[tex]x^2+y^2+16x-14y+49=0[/tex]
[tex]\implies x^2+16x+y^2-14y+49=0[/tex]
[tex]\implies (x+8)^2-64+(y-7)^2-49+49=0[/tex]
[tex]\implies (x+8)^2+(y-7)^2=64[/tex]
Therefore:
center = (-8, 7)radius: [tex]r^2=64 \implies r=\sqrt{64} =8[/tex]Answer:
The circle is centered at (8,0)
The circle has a radius of 10 units.
Step-by-step explanation:
trust
The p-value is a probability that measures the support (or lack of support) for neither the null nor the alternative hypothesis. either the null or the alternative hypothesis. the alternative hypothesis. the null hypothesis.
The true statement is that the p-value is a probability that measures the support (or lack of support) for the null hypothesis.
How to determine the true statement?In a statistical test, the p-value validates or invalidates the null hypothesis
This means that
If p > α, then we accept the null hypothesisOtherwise, the null hypothesis is rejectedSo the true statement about the p value is that it measures the support (or lack of support) for the null hypothesis.
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Solve this problem.
348-3435+847
Answer:
3934Step-by-step explanation:
PLS MARK BRAILIESTAnswer:
-2240
Step-by-step explanation:
1. 348-3435 = -3087
2. -3087 + 847 = -2240
simplify the expression
explanation & answer
Answer:
The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
Step-by-step explanation:
The given problem is [tex]\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}[/tex] .
Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply [tex]\frac{2x}{3}[/tex] by [tex]\frac{2}{2}[/tex] and [tex]\frac{3x-2}{2}[/tex] by [tex]\frac{3}{3}[/tex].
[tex]\displaystyle \frac{2x}{3} \times \frac{2}{2} =\frac{4x}{6}[/tex][tex]\displaystyle \frac{3x-2}{2} \times \frac{3}{3} = \frac{3(3x-2)}{6} = \frac{9x-6}{6}[/tex]Now, since the fractions have common denominators, we can add them together.
[tex]\displaystyle \frac{4x}{6} + \frac{9x-6}{6} = \frac{13x-6}{6}[/tex]The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
5.
What is the area of the shaded region?
10 m
12 1
14 m2
134 m2
C
120 m-
D
106 m-
Answer:
D. 106m2
Step-by-step explanation:
which statement about christophers performance is correct
Answer:
what !!!!!!!!!!!?!!!???????????!!??!?!??!!!?!?!!!?!!!!
Step-by-step explanation:
this is a joke like reallyy
The table shows what 200 randomly selected customers ordered for dinner at a restraint. Based on the table, how many of the next 30 customers will probably order lobster?
It's impossible to answer this without the table...
Answer:
12
Step-by-step explanation:
set up your proportion 80/200=X/30 and cross multiply.
200X=2400 then isolate the variable by dividing 2400 by 200. This gives you 12 and that is your answer.
Using the minimums in the table, is the sample minimum an unbiased estimator?
Yes, 15 occurred the most in the sample minimums.
Yes, the minimum of the sampling distribution of the minimums is 15.
No, 60% of the possible minimum values of the samples is more than 15.
No, the mean of the sampling distribution of the sample minimums is 16, which is not 15.
The sample minimum isn't an unbiased estimator as D. The mean of the sampling distribution of the sample minimums is 16, which is not 15.
What is a sampling distribution?A sampling distribution simply means a probability distribution that is obtained from a larger number of samples drawn from a population.
From the complete question, the sample minimum isn't an unbiased estimator as the mean of the sampling distribution of the sample minimums is 16, which is not 15.
In this case, the minimum of the ages of the officer is 15.
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(x-1)2-8=16 in radical form
Answer:
x=13
Step-by-step explanation:
Which is a stretch of an exponential decay function?
Answer:
The correct option is C. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is the initial value and b is the growth factor.
If b<1, then it represents a decay function and if b>1, then it represents a growth function.
Let k be a stretch and compression factor.
[tex]g(x)=kf(x)[/tex]
If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.
In third function
[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]
[tex]k > 1[/tex]
[tex]b < 1[/tex]
Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
1.7 cm
Step-by-step explanation:
The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.
1) Substitute the values into the formula.
[tex]2^{2} = 1^{2} +b^{2}[/tex]
2) Solve for [tex]b[/tex].
[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]
3) Round the answer to the nearest tenth.
[tex]1.7 = b[/tex]
Combine the like terms and rewrite this expression:
2n+4z+6-n+10z-4
Answer:
n+14z+2
Step-by-step explanation:
2n+4z+6-n+10z-4
2n-n+4z+10z+6-4
=n+14z+2
Given that the sine of a certain angle is 513, and that the angle lies in quadrant 1 of the coordinate plane, what is the tangent of the angle?
The question is an illustration of trigonometry ratio, and the tangent of the angle is 12/13
How to determine the tangent of the angle?Let the angle be x.
The sine of the angle is given as:
sin(x) = 5/13
The sine of an angle is calculated using:
sin(x) = opposite/hypotenuse
By Pythagoras theorem, we have:
Hypotenuse^2 = Adjacent^2 +Opposite^2
This gives
13^2 = Adjacent^2 + 5^2
Rewrite as:
Adjacent^2 = 13^2 - 5^2
Evaluate
Adjacent^2 = 144
Take the square root of both sides
Adjacent = 12
The tangent is then calculated using
tan(x) = Adjacent/Hypotenuse
So, we have:
tan(x) = 12/13
Hence, the tangent of the angle is 12/13
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ok so I'm bad at Circumference and stuff can someone tell me the answer
Answer:
r=2.5
Step-by-step explanation:
with a diamter of 5 you divied it by 2 to get the answer which would be 2.5
Ben had two copies of the same poster in different sizes. Both posters are in the shape of a square. The side length of the two posters is in the ratio of 3:7. If the perimeter of the smaller poster is 27 cm, what is the perimeter of the bigger poster?
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question states that a person named Ben has two copies of the same poster having different sizes , provided they both are squares !
further , we've been given that the side length of the posters are in the ratio of 3:7 and the perimeter of the smaller posted is 27 cm .
We've been asked to find the perimeter of the bigger poster !
so let's start ~
[tex]let\: the \: length \: of \: the \: smaller \: poster \: be \: 3x \\ \\ let \: the \: length \: of \: the \: bigger \: poster \: be \: 7x \\ \\ now \: , \: \\ \\ perimeter \: of \: square = 4 \times side \\ \\ \implies \: perimeter \: of \: shorter \: square = 4 \times 3x \\ \\ \implies \: 27 = 3x \\ \\ x = \cancel\frac{27}{3} \\ \\ \implies\red{\boxed{ \: x = 9 \: cm}}[/tex]
now ,
[tex]side \: length \: of \: bigger \: square = 7x \\ \\ \implies \: 7 \times 9 = 63 \: cm \\ \\ \therefore \: perimeter \: of \: bigger \: square = 4 \times 63 \\ \\ \bold\pink{\implies \: 252 \: cm}[/tex]
hope helpful :D
Avani has 5 posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?
First, how many ways are there for the 1st poster?
It can be the first, the 2nd, the 3rd, the 4th, or the 5th.
How many ways are there for the 2nd poster?
there are 4 ways, because one of them is occupied by the first poster
There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.
Multiply the number of ways together : 120 ways
These are the ways we can arrange the 5 posters ↓
[tex]\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}[/tex]
We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...
Overall, believe it or not, there are 120 ways to arrange these 5 posters.
A quick way to calculate this is
5!=5*4*3*2*1
120
Number of ways ↓120
hope helpful ~
There are 120 different ways the posters can be arranged in a row
How many different ways can the posters be arranged in a row?from the question, we have the following parameters that can be used in our computation:
Number of posters = 5
This means that
n = 5
The different ways the posters can be arranged in a row is calculated as
Ways = n!
So, we have
Ways = 5!
Expand
Ways = 5 * 4 *3 * 2 * 1
Evaluate
Ways = 120
Hence, the number of ways is 120
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Javier is building a recyangular case that has a lenth of 28 centime ters, a width of 20 centimeters, and a height of 14 centimeters. He decides to change the height to be 2 times the original height
Answer:
124
Step-by-step explanation: Since the length is 28, the width is 20, and teh height is 14, you have to do 28+20+14, which equals 62. 62 x 2 = 124.
In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
Answer:
(a) h(t) = 3
(b) time = 1.36 seconds
Explanation:
equation: h(t) = -16(t)² + 24t
Part AIf the fielder catches the ball at the height of about 3 ft.
equation: h(t) = 3Part Busing graphing technology, graphed below. (height, y = 3)
Additional *solving part B algebraically*
-16(t)² + 24t = 3
-16(t)² + 24t - 3 = 0
using quadratic equation
[tex]\bold{x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ when \ ax^2 + bx + c = 0}[/tex]
==================================
[tex]\sf t_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\left(-16\right)\left(-3\right)}}{2\left(-16\right)}[/tex]
[tex]\sf t=\frac{3-\sqrt{6}}{4}, \ t=\frac{3+\sqrt{6}}{4}[/tex]
t = 1.36 seconds and 0.14 seconds
The fielder shall catch the ball when the ball is falling, so time : 1.36 s
Answer:
See below ~
Step-by-step explanation:
a. Equation
In place of h(t), substitute 3 in its place3 = -16t² + 24tRearrange by bringing 3 to the other side-16t² + 24t - 3 = 0b. Finding the duration of the kickball in air using graphing technology
Based on the graph (attached), the ball has been in the air for :1.5 seconds
What is the mode?
8 ,9 ,10 ,9 ,8 ,10 ,10
Answer:
10Step-by-step explanation:
The mode is the value in a data set which is the most frequently repeated.
In this case, 10 repeats 3 times, 9 and 8 each repeat twice.
Therefore, 10 is the mode.
Answer:
10
Step-by-step explanation:
Mode means which of the numbers you see more like 8 ,9 ,10 ,9 ,8 ,10 ,10
in this you can see 10 more often then you see the others
A road-roller levels 3000m of road in 4hours How many metres does it level in a 24 hourday? please help me
Answer:
18,000 meters
Step-by-step explanation:
We know:
v = 4 and t = 24Substitute:
{ v = 4 ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24
{ t = 24
Cross out the common factor:
⇒ 6 × 3000
Calculate the product or quotient:
⇒ 18,000
NEED HELP I WILL GIVE 50. THIS IS MATH
Answer:
68!
Step-by-step explanation:
Side c (side a being 32, and side b being 60) is equal to 68.
I like to use the Omni calculator for figuring out the missing side of the triangle (website)
hope this helps:)
Stan has a Homeowner’s Insurance policy on his house. He decides to build a garage. He needs to take out a building permit for the garage which costs $125. He also needs to update his Homeowner’s policy to include other structures on the property since he does not have any other buildings but his house currently. The cost for this is $245. Stan has $20,000 saved, and the garage price is $19,700. How much more will Stan need to cover the cost of the garage with permit and insurance included?
Answer:
$70
Step-by-step explanation:
The additional amount Stan needs will be the difference between his expected costs and the amount he has saved.
__
Costs$19,700 +125 +245 = $20,070
Needed$20,070 -20,000 = $70
Stan will need $70 more to cover the cost of the garage, permit, and insurance.
Hi, I have a Q, how do I use it?
Answer:
use what
Step-by-step explanation:
PLEASEE HELPPP TEST DUE IN 20 MINUTES!! A Question 2 (2 points) Retake question
When solving the following equation by completing the square, what would you add
to both sides of the equation in order to complete the square? X^2-10x =3
6
3
15
25
9
10
1
Answer:
D. 25
Step-by-step explanation:
To find the new value of c when completing the square, use the formula [tex](\frac{b}{2} )^{2}[/tex].
Plugging in the given values:
[tex](\frac{10}{2} )^{2}[/tex]
(5)²
= 25
hope this helps!
Answer:
25
Step-by-step explanation:
when solving the equation, you're going to add have the coefficient of x to bothsides.
from the question, the coefficient of x is 10 and half of it is 5
5^2= 25
hope this helps!!!please rate and mark brainliest.Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m
Answer:
Step-by-step explanation:
Which graph shows a line with an x-intercept of -5?
Answer:
The answer is A.
Step-by-step explanation:
The only option is A. since an intercept of (-5,0)
Option B has y-int: (0,-5)
Option C has y-int: (0,5)
Option D has x-int(5,0)
write an equation that is parallel to 2x-3y=15 that passes through the point (9,-5)
question:
the table shows the results of a survey of 100 people selected randomly at an airport . find the experimental probability that a person selected at random is going to CITY B .
the experimental probability that a person selected randomly is going to city b is ____ .
Answer:
2/5
Step-by-step explanation:
40/100 answered city B, simplified it is 4/10 and then 2/5
If the measures of two interior angles of a triangle are 25° and 84º, what is the measure of the third
angle?
Answer: The measure of the third angle would be 71
Step-by-step explanation:
if a=3 and b=-4 find the value of (a-ab)