[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-4}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\\\\ [x-2]^2~~ + ~~[y-(-4)]^2~~ = ~~4^2\implies (x-2)^2~~ + ~~(y+4)^2~~ = ~~16[/tex]
given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle
Note :
sin(x) = cos (90-x)
Therefore,
sin(x-3) = cos(90-(x-3))
90-[x-3] = 2x+6
90-x+3 = 2x+6
3x = 93-6
x = 31-2
x = 29°
Please help me with this too ,
Answer:
Step-by-step explanation:
[tex]\sf a^{m}*a^{n} =a^{m +n}\\\\a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
[tex]\sf a^{-n}=\dfrac{1}{a^{n}}\\\\\dfrac{a^{n}}{a^{m}}=a^{n-m}\\\\\\a^{0}=1[/tex]
[tex]\sf (a^{n})^{m} = a^{n*m}\\\\(a^{n}*b^{m})^{p}=a^{np}b^{mp}\\\\(ab)^{n}=a^{n}b^{n}[/tex]
Which statement is true?
• A.
A sample statistic can never be equal to the population parameter.
O B. Point estimates are defined for both samples and populations.
O C.
To calculate a sample proportion, we
need to know the population size
O D.
To calculate a point estimate, we
need to know the sample size.
To calculate a point estimate, we need to know the sample size.
===========================================================
Explanation:
Let's go through the answer choices.
A) False. A sample statistic could equal to the population parameter. It won't always happen, but it might happen sometimes (in rare cases). B) False. Point estimates are only defined for populations. They estimate a population parameter. For example, the sample mean xbar is a point estimate of the population mean (mu).C) False. In practice, we will hardly know anything about the population. This includes the population size. The goal of statistics is to measure population parameters by using sample statistics as estimation methods.D) True. We can easily calculate the sample size because it is relatively much smaller compared to the population. Plus, when selecting the sample, the sample size is often pre-determined to some set number. The sample size will help us determine things like the sample mean and the sample proportion.56783÷100=
please give answer pl
Easy math pls help quick will give brainlest
Answer:Easy math pls help quick will give brainlest
Easy math pls help quick will give brainlest
Easy math pls help quick will give brainlestStep-by-step explanation:
is your correct answer
help plsssssssssssssssssssssssssssssssss
Answer:
I guess it is $105.Not so sure about my answer...
1=5-4+3-2-1 pls help me i need to turn this and
Answer:
The answer would be true
Step-by-step explanation:
[tex]1=5-4+3-2-1[/tex]
[tex]1=1+1-1[/tex]
[tex]1=2-1[/tex]
[tex]1=1[/tex]
Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.
Answer:
12x + 16y = 3700
x + y = 250
x = 75 students
y = 175 adults
Step-by-step explanation:
y = 250 - x
12x + 16(250-x) = 3700
12x + 4000 - 16x = 3700
-4x = -300
x = 75
y = 250 - 75
y = 175
Rachel was pouring milk into an 8-inch-tall cylindrical container. She used the formula
V = #r?h to calculate the cylinder's volume which Rachel found to be 231 cubic inches of liquid.
What would be the most accurate measurement for the radius of the container of milk?
O 3 inches
O 5 inches
O 9 inches
O 10 inches
The volume of the cylinder container is the amount of milk in it
The most accurate measurement for the radius is 3 inches
How to determine the accurate radius?The given parameters are:
Volume = 231Height = 8 inchThe volume of a cylinder is:
V = πr²h
So, we have:
πr² * 8 = 231
Divide both sides by 8π
r² = 9.19
Take the square root of both sides
r = 3.03
Approximate
r = 3
Hence, the most accurate measurement for the radius is 3 inches
Read more about volume at:
https://brainly.com/question/1972490
Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =
Answer: [tex]f(x)=2x^2+5[/tex]
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
[tex]4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)[/tex]
The initial conditions say that when x = 0, the function equals 5. Let's write that down:
[tex]f(0)=5=2(0^2)+C=C[/tex]
Therefore, the integration constant 'C' must equal 5. This means that our function is:
[tex]f(x)=2x^2+5[/tex]
Given the function f(x) = 2x2 - 27, find f(h +2).
Answer:
f(h + 2) = 2h² +8h - 19
Step-by-step explanation:
f(x) = 2x² - 27
f(h + 2) = 2(h + 2)² - 27
f(h + 2) = 2(h²+4h+4) - 27
f(h + 2) = 2h² + 8h + 8 - 27
f(h + 2) = 2h² +8h - 19
I hope this helps!
1/3(6x-3)-1/4(20x+8)=-6
Answer:
x = 1.
Step-by-step explanation:
[tex]\frac{1}{3}(6x-3)-\frac{1}{4}(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\((\frac{1}{3}*6x)-(\frac{1}{3}*3))-\frac{1}{4}(20x+8)=-6\\\\2x-1-\frac{1}{4}(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-((\frac{1}{4}*20x)+(\frac{1}{4}*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1[/tex]
someone pls help me i will give brainliest to the first to answer
Answer:
21 and 35
Step-by-step explanation:
21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box
7 times 3 then 7 times 5
NO LINKS!! Please help me with this problem
#GH
[tex]\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow GH=108/2=54[/tex]
#UV
[tex]\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}[/tex]
[tex]\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49[/tex]
#VW
[tex]\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}[/tex]
[tex]\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21[/tex]
FGHIJ ≅ UTSWV
making proportional equations
GH/FG = TS/UTGH/36 = 42/28GH = 54FJ/FG = UV/UT63/36 = UV/28UV = 49IJ/FG = VW/UT27/36 = VW/28VW = 21What is the IQR for 79 85 98 125 140
Hi there!
We have the numbers:
79 85 98 125 140
From the data, we can see that '98' is the median value as it is exactly in the middle. We can then split the data into equal groups on both sides of the median.
79 85
125 140
Since there are only two numbers, we can find the median of EACH sub-group (Q1 and Q3 respectively) by taking the average.
Q1 = (79 + 85)/2 = 82
Q3 = (140 + 125)/2 = 132.5
The IQR is simply the difference between Q3 and Q1, so:
IQR = 132.5 - 82 = 50.5
Select all ratios equivalent to 7:2.
14:4
28:8
9:1
Answer:
Step-by-step explanation:
If you multiply top and bottom of 7/2 by 2 as in (7 *2) / (2 * 2) = 14 /4
If you multiply 7/2 top and bottom by 4, you get 28/8
So 14/4 and 28/8 are both the same as 7/2
4/8 - 3/10 pa answer ulii
Answer:
1/5
Step-by-step explanation:
4/8-3/10=1/5
write an expression for ''the number of pieces
in three pack of mint gum.
Answer:
yellow blue green gray black white
For Halloween, Gwen received 4*10 pounds of candy in the first hour and another 43/5 pounds the second hour. How much
candy did she get total?
Answer:
4*10 = 40
43/5 = 8.6
40 + 8.6 = 48.6 candy in total.
The vertex -x^2 - 2x + 8
General form of a quadratic equation: [tex]ax^2+bx+c[/tex]
⇒ since the equation: [tex]-x^2-2x+8[/tex]
⇒ so:
a = -1b = -2c = 8To calculate the x-coordinate of the vertex
⇒use x = [tex]-\frac{b}{2a}[/tex] <--- this is a property that helps you find the vertex of the
quadratic
x = [tex]-\frac{(-2)}{2*(-1)} =-1[/tex]
Since x = -1:
⇒ we can plug in this x-value into the original equation to find the y-
value
[tex]y =-(-1)^2-2(-1)+8=-1+2+8=9[/tex]
So the coordinate of the vertex: (-1,9)
Hope that helps!
The math club needs to raise at least $552.50 for a trip to state
competition. The club has raised 12% of the funds. Members want
to find out how much they each need to raise to make up the
difference.
Which inequality shows how much money each of the 7
club members need to raise if each member raises the same
amount?
A. m < $69.46
B. m > $69.46
C. m < $72.35
D. m > $72.35
ok so they raised 12%
12%=12/100=0.12
12% of 552.5=.12 times 552.5=66.3 was raised
552.5-66.3=486.2
divide by 7
486.2/7=69.457 about 69.46
each member must raise at least 69.46
What is the equation of the circle?
Step-by-step explanation:
The equation of a circle is
[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
Where (h,k) is the center and
r is the radius.
Here the center is (-9,10).
To find the radius, find the distance from the center to a point on the circle.
So find the distance between (-9,10) and (-9,7).
[tex]r = \sqrt{(( - 9 - ( - 9) {}^{2} + (10 - 7) {}^{2} } [/tex]
[tex]r = \sqrt{0 + 9} [/tex]
[tex]r = \sqrt{9} [/tex]
[tex]r = 3[/tex]
So the radius is 3 so we plug in
[tex](x - ( - 9) {}^{2} + (y - 10) {}^{2} = {3}^{2} [/tex]
[tex](x + 9) {}^{2} + (y - 10) {}^{2} = 9[/tex]
Answer:
○ [tex]\displaystyle (x + 9)^2 + (y - 10)^2 = 9[/tex]
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.
I am joyous to assist you at any time.
Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?
Answer: 120 degrees
Step-by-step explanation:
What is the volume of this figure? Enter your answer in the box.b
Answer:
2800 ft³
Step-by-step explanation:
The required volume of given figure is 2800 ft³
I hope it helped you
Pls help me with this
1. Which drink is the most preferred by your classmates?
2. Which drink is the least preferred by your classmates?
3. Compare the percentage of students who prefer juice and coffee.
4. Compare the percentage of students who prefer water and tea.
5. Compare the percentage of students who prefer chocolate drink and other drink.
Answer:
1. Choclate Drink
2. Coffee
3. 19 % difference
4. 1 % difference
5. 42% difference
Step-by-step explanation:
Find the value of X.
Answer: 23
Step-by-step explanation:
Find the surface area
Answer:
Area of a sphere
Radius
15 m
Diameter
30 m
Volume
14,137 m³
Surface to volume ratio
0.2 1/m
Surface area
2,827.4 m²
Step-by-step explanation:
C
7
24
What is the measure of C
What is the following product?
30 10
O 2010
O 3 V10
4./10
o 10/3
What is the following product?
Square root 30 and square root 10
Answer:
10 sqrt 3
Step-by-step explanation:
sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3
Which expression equals a number that is NOT a rational number?
Please help asap