Answer:
x^2 + y^2 - 6x - 10y + 30 = 0.
Step-by-step explanation:
In factor form the general equation is:
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the centre and r = the radius.
So here we have:
(x - 3)^2 + (y - 5)^2 = 4.
Converting to Standard Form:
= x^2 - 6x + 9 + y^2 - 10y + 25 = 4
x^2 + y^2 - 6x - 10y + 9 + 25 - 4 = 0
x^2 + y^2 - 6x - 10y + 30 = 0.
Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?
A.3 hours
B.4 hours
C.30 hours
D.40 hours
Answer:
Step-by-step explanation
61.7÷ 1778= 28.81
Choice C
Answer:
C
Step-by-step explanation:
Did the test on edge
2/7 converted to percentage
Look at the attached picture⤴
Hope it will help u...:)
Answer:
Step-by-step explanation:
[tex]\frac{2}{7}*100=\frac{200}{7}\\\\=28.5714\\[/tex]
= 28.57% or
≈ 29%
Terrance has $54.29 in his checking account. He needs to purchase a football uniform for $56.50. Should Terrence use his debit card or his credit card? Explain your reas
Answer:
credit because you can pay at the end of the month
i had this question before
if i can get brainliest that would be great
Which numbers are equivalent to 0.24?
Choose all answers that are correct.
A.
B.
2.4%
C.
D.
24%
Answer:
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
Since O.24 converted to a fraction is 24/100. 24% is equal to 0.24
Cait purchases a $20 item at a store. She uses a coupon to receive a 15% discount, and she pays a 6% sales tax on
the item. She calculates the total cost, in dollars, of the item using the expression shown.
en este
personen
in om
die pan en
Cait's Expression
(1.15)(1.06)(20)
A. Describe the error in the expression Cait used for her calculation.
B. Show or explain how you would calculate the total cost of Cait's purchase.
Type your answers in the space provided.
Answer:
A. Cait treated the discount as an increase
B. (20) (1.06) (0.85)
Step-by-step explanation:
Hi, Cait treated the discount as an increase.
Cait multiplied the price (20) by the tax percentage (increase) 1.06
Since the sale tax increase is 6% and it is added to the price we have to express it in decimal form (6/100=0.06) and add it to 1.
20 (1 +0.06) = 20 (1.06)
The coupon discount is subtracted to the price. So, the correct form is:
15/100= 0.15
20 (1-0.15) = 20 (0.85)
Instead of this, Cait expressed the percent discount as a percent increase .
20 (1+0.15) = 20 (1.15)
The correct form is (20) (1.06) (0.85)
How can we interpret |-50| in context?
A. amount of money you have left on account
B. amount of money you owe the bank
C. negative 50 dollars
Answer: The answer is B, The amount of money you owe to the bank. Maybe A.....
( Vote me brainliest answer , please )
IN UNIT TEST!
Rectangle PQRS is rotated 90° counterclockwise about the origin.
On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).
What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
Answer:
(-3, 5)
Step-by-step explanation:
im assuming the orginal point q is (5, 3)
Based on the given scenario above, the coordinates of point Q is known to be (-3, 5).
What is the points about?Note that if a point P(x, y) is rotated 90° counterclockwise around the origin, one has to flip x and y and reverse the sign of y.
So, The rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin is said to be:
P(x, y) = P'(-y, x)
In this question, rectangle PQRS is rotated 90° counterclockwise about the origin.
The rectangle is said to have the coordinates:
P(2, 3)
Q(5, 3)
R(5, 1)
S(2, 1)
Therefore we look for the coordinates of the point Q’.
By using the rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin, then:
P(x, y) = P'(-y, x)
Therefore, coordinates of the point Q’ will be:
Q(5, 3) = Q'(-3, 5)
Therefore, the coordinates of point Q' is: Q'(-3, 5)
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Tim purchased a random sample of clementines at a local grocery store. The 95% confidence interval for the mean weight of all clementines at the store is 76.6 grams to 90.1 grams. Interpret this confidence interval.
Answer:
Step-by-step explanation:
Confidence interval is constructed to provide an estimated for an unknown population parameter such as the mean and sometimes, the standard deviation. It is expressed as
Sample mean ± margin of error
From the confidence interval given, the lower boundary is 76.6 grams while the upper boundary is 90.1 grams. Therefore,
It means that we are 95% confident that the mean weight of all clementines at the store lies between 76.6 grams to 90.1 grams. Also, 95% of the confidence intervals constructed in this way would contain the true value for the population mean weight of all clementines at the store.
Final answer:
A 95% confidence interval for the mean weight of clementines at a local grocery store ranging from 76.6 to 90.1 grams means we are 95% confident the true average weight of all clementines falls within this range. This range is based on a random sample and provides an estimate of the population mean. The width of the interval reflects the estimate's precision.
Explanation:
A 95% confidence interval for the mean weight of clementines, which ranges from 76.6 grams to 90.1 grams, means that we are 95% confident that the average weight of all clementines available in the store falls within this range. This interval was determined based on a random sample of clementines purchased, which serves as a representative subset of the entire clementine population in the store.
The concept of a confidence interval allows researchers and statisticians to estimate the true mean of a population based on sample data. In this case, unless the true average weight of the clementines lies outside this range, which has only a 5% probability (100% - 95%), we can assume that our interval includes the true mean weight of all clementines in the store. This interpretation is common in statistics and is crucial for making informed decisions or predictions based on sample data.
The width of the confidence interval, from 76.6 to 90.1 grams, reflects the precision of our estimate. A narrower interval would indicate a more precise estimate of the true mean weight, but increasing precision usually requires a larger sample size or a more homogeneous population. The principles behind confidence intervals are fundamental in various fields, including scientific research, engineering, and business analytics, to make reliable inferences about population parameters based on sample statistics.
A rectangular prism with a volume of 444 cubic units is filled with cubes with side lengths of \dfrac13
3
1
start fraction, 1, divided by, 3, end fraction unit.
How many \dfrac13
3
1
start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?
Answer:
108 cubes
Step-by-step explanation:
Lengths of one of the cube s=[tex]\dfrac{1}{3}[/tex]
Volume of a Cube [tex]=s^3[/tex]
Volume of one of the Cubes [tex]=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]
The volume of the rectangular prism is 4 cubic units.
Therefore, to find the number of cubes it takes to fill the prism, we divide the volume of the prism by the volume of the cube.
[tex]\text{Volume of Prism/Volume of Cube}=4 \div \dfrac{1}{27}\\=4 X 27 \\=108[/tex]
It takes 108 cubes to fill the rectangular prism.
Answer:
108
Step-by-step explanation:
HELPPP, please:) super easy
Answer:
6.8
Step-by-step explanation:
Answer:
Just by approximating without a calculator, you would know it under the sqrt of 49, so it should be less than 7 and greater than 6 (sqrt of 36)
With a calculator and rounding, you will find that the answer is 6.8.
please send help 20 points ,
Answer:
C.
A.
E.
B.
Hope it will help :)
HELP HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
y = 6|x|
Step-by-step explanation:
y = |x|
When we scale vertically, we multiply by a constant
y = a f(x)
We are multiplying by 6
y = 6|x|
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for 7. Round to the nearest inch.
O
O
O
O
12 inches
24 inches
38 inches
46 inches
Save and yit
Submit
Okay, we are going to solve this backwards!
First, we need to know that the formula for circumference is
c = π × d
d = diameter
π = 3.14
They told us what the circumference is, so let's plug it in
75 = (3.14) × (d)
let's solve for d
[tex]\frac{75}{3.14} = d[/tex]
d = 23.88 inches
We must remeber that the radius is HALF of the diameter, so let's divide the diameter by 2
[tex]\frac{23.88}{2} = 11.94[/tex]
Now, let's round to the nearest whole inch like they suggested
11.94 ≈ 12
The answer is 12 inches!
The weight, in grams, of eight different kiwis was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Weights of Kiwis: 68, 73, 75, 75, 76, 76, 78, 80
B.
Weights of Kiwis: 68, 70, 75, 75, 75, 76, 77, 80
C.
Weights of Kiwis: 68, 72, 75, 75, 76, 76, 77, 80
D.
Weights of Kiwis: 68, 70, 72, 75, 75, 76, 78, 80
Answer:
Step-by-step explanation:
The answer is d because 75 is the medain of the kiwi fruit
One zip Weighs as much as three zaps two zaps weight as much as five zowies three zowies weigh as much as two swooshes if one weighs sixty pounds how much does a zip weigh
Answer:1 zip weighs 30 lb
Step-by-step explanation:
3 zowies = 12 lb. so, 1 zowie = 4 lb.
2 zap = 20 lb. so, 1 zap = 10 lb.
1 zip = 30 lb.
One zip weighs 360 pounds.
1. One zip weighs as much as three zaps.
2. Two zaps weigh as much as five zowies.
3. Three zowies weigh as much as two swooshes.
4. One swoosh weighs 60 pounds.
We need to find the weight of one zip.
Step 1: Find the weight of one swoosh.
Since one swoosh weighs 60 pounds, we have:
1 swoosh = 60 pounds
Step 2: Find the weight of three zowies.
Since three zowies weigh as much as two swooshes, and one swoosh weighs 60 pounds, we have:
3 zowies = 2 swooshes = 2 * 60 = 120 pounds
Step 3: Find the weight of two zaps.
Since two zaps weigh as much as five zowies, and three zowies weigh 120 pounds, we have:
2 zaps = 5 zowies = 120 pounds
Step 4: Find the weight of one zip.
Since one zip weighs as much as three zaps, and two zaps weigh 120 pounds, we have:
1 zip = 3 zaps = 3 * 120 = 360 pounds
What is the solution to this equation?
a/6-11=25
What does a equal?
Answer:
Step-by-step explanation:
6x(a/6)-6x11=25x6
a-66=150
a=216
(SAT Prep) In the figure, what is the length of BC?
A. 25
B. 15
C. 18
D. 22
Answer:
I got 18 as my answer
Step-by-step explanation:
I made a triangle with the right side by dropping a vertical. Lets call the point straight down from C, E
Then I found the angle of D
sin θ = 5/13
θ = sin-¹(5/13)
θ≅22.619°
Then I found length of DE by
cosθ (remember we know what theta is) = X/13
12cosθ = X
X = 12
The length of DE is 12.
Since AD is 30, and the left side has two right angles we can do
AD - DE to find BC.
30-12 is 18
The length of BC is C. 18.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a trapezoid.
First draw a perpendicular line from C to the segment AD.
Mark the intersecting point of line and AD by P.
We know that,
CP = BA = 5
Using Pythagoras theorem,
PD = √(13² - 5²) = √(169 - 25) = √144 = 12
Now, AP + PD = AD
AP = AD - PD
= 30 - 12
= 18
Now, BC = AP = 18.
Hence the length of BC is 18.
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ANSWER FOR BRAINLIEST!!! NOW!!!
Answer:
1st automobile
Step-by-step explanation:
Because it travel 271.8 miles on 10.1 gallobs of gasoline and the mile per gallon is 26.91 and the 2nd automobile travels 257.9 on 11.1 gallons of gasoline and the miles per gallon is 23.23 so the first auto mobile gets better gas mileage cuz it goes more miles and uses less gas
Which relation describes a function?
{(0,0), (0, 2), (2.0), (2, 2)}
{(-2, -3), (-3, -2), (2,3), (3, 2)}
{(2,-1), (2, 1), (3,-1), (3, 1)}
{(2, 2), (2, 3), (3, 2), (3, 3)}
Answer:
{(-2, -3), (-3, -2), (2,3), (3, 2)}
Step-by-step explanation:
A function is a set of ordered pairs in which no two pairs have the same first number.
In other words, an x cannot be paired with two y's.
A function takes an x and pairs it with one and only one y.
{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.
{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.
{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.
(NEED HELP ASAP) plz UvU
Answer:
X equals 5
Step-by-step explanation:
Combine like terms
Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 3.3, 5, 6.2, 9., 13. The third column is labeled residual with entries 0.68, 0.04, negative 1.1, negative 0.64, 1.02. Which point is farthest from the line of best fit?
Answer:
3, 6.2
Step-by-step explanation:
Just took the assignment.
The point that is farthest from the line of best fit is : ( 3, 6.2 )
X(values) y(values) residual
1 3.3 0.68
2 5 0.04
3 6.2 -1.1
4 9 -0.64
5 13 1.02
To determine the line is best fit we graph the plot of x and y values ( i.e. a plot of the y values against the x values )
attached below is the plot showing the line of best fit
Hence From the attached residual plot we can conclude that the point that is farthest from the line of best fit is : 3(x axis ) and 6.2 ( y - axis )
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part 1-Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest? Rowan- 150 yd Janelle-429 ft 8 in. Domingo-130 yd 2 ft
Lydia-460 ft
part 2-Write the distance Domingo walked in feet and inches.
Answer:
Part 1= Lydia
Part 2= 392 ft or 4704 in
Step-by-step explanation:
let me know if you need any other help:)
Please help, the lockdown is really messing me up.
Answer:
Height of the cuboid= 2.5 cm
Step-by-step explanation:
Volume of a cuboid = length× width ×height
=> 100=8×5× h
=
[tex]h = \frac{100}{8 \times 5} [/tex]
[tex]h = 2.5[/tex]
height of the cuboid= 2.5 cm
What is 3a2 + a2 added to a + 6?
The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to find when 3a^2 + a^2 added to a + 6.
3a^2 + a^2 + a +6
This cannot be added further because they do not have any like terms.
Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.
Those terms which have same variables raised with same power are like terms.
For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.
Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6
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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.
To add the expressions 3a2 + a2 to a + 6, follow these steps:
Identify and group the like terms:3a2 + a2 for the squared termsa for the linear term6 for the constant termCombine the like terms:3a2 + a2 = 4a2Write down the final expression after addition:4a2 + a + 6Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]
What’s the slope of this question
Answer:
i believe its 1.5
Step-by-step explanation:
its -4.5 crossing over the y-axis then 3 across divide that and get 1.5
What is the slope of the line represented by the equation y =4\5x-3
Answer:
4/5
Step-by-step explanation:
For lines represented by the equation "y = mx + b", m is the slope. In this case, m = 4/5
6x+1 = -8x-13
pleasee
Answer: [tex]x=-1[/tex]
Add 8x to both sides
[tex]6x+1+8x=-8x-13+8x\\14x+1=-13[/tex]
Subtract 1 from both sides
[tex]14x+1-1=−13-1\\14x=-14[/tex]
Divide both sides by 14
[tex]14x/14=-14/14\\x=-1[/tex]
Answer:
[tex]6x + 1 = - 8x - 13 \\ 6x + 8x = - 1 - 1 3 \\ 14x = - 14 \\ \frac{14x}{14} = \frac{ - 14}{14} \\ x = - 1[/tex]
hope this helps you.....
PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22
Find : m∠QPR
Given:
It is given that,
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the value of ∠QPR.
Formula
As per the given problem PR lies between PQ and PS,
So,
∠QPR+∠RPS = 90°
Now,
Putting the values of ∠RPS and ∠QPR we get,
[tex]7x-9+4x+22 = 90[/tex]
or, [tex]11x = 90-22+9[/tex]
or, [tex]11x = 77[/tex]
or, [tex]x = \frac{77}{11}[/tex]
or, [tex]x = 7[/tex]
Substituting the value of [tex]x = 7[/tex] in ∠QPR we get,
∠QPR = [tex]7(7)-9[/tex]
or, ∠QPR = [tex]40^\circ[/tex]
Hence,
The value of ∠QPR is 40°.
Why might this group of toys not be a valid sample? Check all that apply.
Answer:
The sample should represent all the toys produced throughout the day, not just the first and The sample should represent an entire week or month, not just a single day
Step-by-step explanation:
Answer:
B&D
Step-by-step explanation:
Trust me plssss
Circle C is shown. Line segments E C and F C are radii. Angle E C F is 109 degrees. Line segment A D is a chord. A line is drawn from point A to point B to form another chord. The measures of arcs B D and E F are congruent. Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.
Answer:
109, 54.4
Step-by-step explanation:
In the circle, the measure of minor arc EF is 109° and the measure of angle DAB is 54.5°.
How to solve the circle?From the complete information, the line segments EC and FC are radii, angle ECF is 109 degrees while the line segment AD is a chord.
In this case, the measure of minor arc EF will be the value of the angle given which is 109°. Also, the measure of angle DAB will be:
= 1/2 × 109°
= 54.5°
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