Answer:
r ≈ 6.71
Step-by-step explanation:
The distance from the centre of the circle to a point on it is the radius.
Calculate the radius r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (14, - 1)
r = [tex]\sqrt{(14-8)^2+(-1-2)^2}[/tex]
= [tex]\sqrt{6^2+(-3)^2}[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex] ≈ 6.71 ( to 2 dec. places )
Final answer:
The radius of the circle with the center at (8, 2) and a point on the circle at (14, -1) is 6.71 units, after rounding to two decimal places.
Explanation:
To find the radius of a circle with a given center and point on the circle, we need to calculate the distance between these two points. This distance represents the radius. The center of the circle is at (8, 2) and the point on the circle is at (14, -1).
Using the distance formula, which is d = √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x_1, y_1) is the first point and (x_2, y_2) is the second point:
[tex]d = √((14 - 8)^2 + (-1 - 2)^2) = √((6)^2 + (-3)^2) = √(36 + 9) = √45[/tex]
When using a calculator that has an eight-digit output, √45 is approximately 6.70820393. However, if we are to report the answer with only two decimal places, we get the radius as 6.71 units.
It's important to note that significant figures play a role in determining the precision of our result. Even though the calculator can give us many decimal places, we often round the number to either preserve significant figures or because the extra precision is not materially important for estimation purposes. In this case, the radius to two decimal places is 6.71, despite the calculator's eight-digit output.
1. Use the diagrams to compare the two sectors. Select the correct answer
A. Region A is larger
B. Region B is larger
C. Areas are the same for both
D. Not enough information
Answer:
B. Region B is larger
Step-by-step explanation:
its have a bigger area then A
∵∴∵∴∵∴∵∴∵
⊕ΘΞΠΤ⊕
∵∴∵∴∵∴∵∴∵
Answer:
B is the correct asnwer! if i am wrong then c is correct
Step-by-step explanation:
Find the derivative of f(x) = 6x + 7 at x = 9
Answer:
f'(9) = 6
Step-by-step explanation:
f(x) = 6x+7
The derivative is
f'(x) = 6
Evaluated at x=9
f'(9) = 6
Answer:
6
Step-by-step explanation:
f(x) = 6x + 9
f'(x) = 6 at every point
Can someone find the volume of this shape and show work please? ASAP
A metal alloy weighing 4 kg and
containing 90% gold is melted and mixed
with 1 kg of a different alloy which
contains 30% gold. What percent of the
resulting alloy is gold?
A) 78% B) 90%
C) 32% D) 50%
Answer:
i believe it's B
Step-by-step explanation:
Write an equation for the line that passes through the two points:
(4,3), (6, -3)
Answer:
y= -3x+15.
Step-by-step explanation:
To solve this equation, we first need to calculate the slope of the equation:
m= [tex]\frac{-3-3}{6-4}[/tex] m= [tex]\frac{-6}{2}[/tex] m= -3.
Now, we can simply plug in our slope value into our line equation (y= mx+b) with one of the point listed to find our b value.
3= -3(4)+b
3= -12+b
15=b
Finally, the equation we get is:
y= -3x+15
What happens to the value of the expression 4d as d increases?
Answer:
simple its decrease
Step-by-step explanation:
the chef is making 10.5 batches of dinner rolls. For each batch, he kneaded dough for 0.7 and let the dough rest for 1.6 hours. Then he baked the dough for 0.4 hours. How long does it take to make each batch of dinner rolls
Answer: 2.7 hours
Step-by-step explanation:
Hi, to answer this question we simply have to calculate the amount of time that takes making one batch of dinner rolls, by adding the individual times of, kneading, resting and baking.
Mathematically speaking
0.7 hours +1.6 hours +0.4 hours = 2.7 hours
It takes 2.7 hours to make each batch of dinner rolls.
The perimeter of a semicircle is 15.42 kilometers. What is the semicircle's radius?
To calculate the radius(r) from the semicircle's perimeter(P), we rearrange the formula P = πr + 2r to r = P / (π + 2). Substituting 15.42 for P, the radius is approximately 3 kilometers.
Explanation:The subject of this question is Mathematics, specifically geometry and the concept of a semicircle's perimeter. To find the radius of a semicircle with given perimeter (P), we need to use the formula for perimeter of a semicircle which is P = πr + 2r, where r is the radius. Here, P = 15.42 kilometers.
First, we will rearrange the formula to isolate r: r = P / (π + 2). Now, substituting into the formula with the given perimeter, we get r = 15.42 / (π + 2) ≈ 15.42 / 5.14 ≈ 3 km (rounded to nearest whole number).
This means the radius of the semicircle is approximately 3 kilometers.
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did anyone call you mami before
Find the probability. Enter your answer as a simplified fraction.
Picking a purple marble from a jar with 15 green and 15 purple marbles.
The probability of picking a purple marble is
Answer:[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
Jar contains 15 Green and
15 Purple marbles
Total marble[tex]=15+15=30[/tex]
Probability of Picking a Purple marble is
[tex]P=\frac{\text{No of Purple marble}}{\text{Total no of marble}}[/tex]
[tex]P=\frac{15}{30}[/tex]
[tex]P=\frac{1}{2}=0.5[/tex]
Therefore probability of picking a marble is [tex]0.5[/tex]
HELP PLEASE
Which function is equivalent to q(x) = 9x2 – 24x + 16?
F q(x) = (9x - 4)(x – 4)
G q(x) = (3x + 4)
H q(x) = (9x + 4)(x + 4)
J q(x) = (3x – 4)
Answer:
Step-by-step explanation:
Just took it. I selected your answer and got it wrong. Here is my answer.
The correct option is F q(x) = (9x - 4)(x – 4) is equivalent to q(x) = 9x² – 24x + 16.
To find the equivalent function for q(x) = 9x² – 24x + 16. we need to factor the quadratic equation.
We are looking for two binomials that when multiplied together will give us the original quadratic equation.
In this case, a = 9, b = -24, and c = 16.
We need to find two numbers that multiply to give ac (which is 9 * 16 = 144) and add to give b (which is -24).
The two numbers that satisfy these conditions are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.
Now we can rewrite the middle term of the quadratic equation using these two numbers:
q(x) = 9x² – 24x + 16.
Next, we group the terms:
q(x) = (9x² – 12x) - (12x - 16)
Now we factor out the common factors from each group:
q(x) = 3x(3x - 4) - 4(3x - 4)
We can see that (3x - 4) is a common factor
q(x) = (3x - 4)(3x - 4)
However, we need to be careful here because we have a common factor of 3 in both binomials.
We can factor this out to get the correct factored form:
q(x) = (9x - 4)(x - 4)
This matches option F.
This is the original quadratic equation, confirming that option F is indeed the correct answer.
Michelle is a server in a restaurant . On a weekend night, Michelle earned $4 an hour and $65 in tips . She made a total of $93. Write and solve an equation to determine how many hours she worked ?
Michelle earned a total of $93 ($4 per hour and $65 in tips). By setting up and solving the equation 4h + 65 = 93, it is determined that h = 7, therefore, Michelle worked for 7 hours.
Explanation:The subject of this question in Michelle's work earning. Michelle earns $4 per hour in addition to her tips. In total, she earned $93 on this specific night. To establish how long Michelle worked, we can create and solve an equation.
Firstly, we can determine that her total earnings ($93) are made up of her hourly wage and her tips. This can be written as:
4h + 65 = 93
Next, we will solve for h, which represents the number of hours Michelle worked:
Start by subtracting 65 from both sides of the equation: 4h = 93 - 65, which simplifies to 4h = 28.Then, divide both sides by 4 to isolate h: h = 28 / 4.This yields h = 7.Therefore, Michelle worked for 7 hours on that evening.
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What is 57,020,000 expressed in scientific notation
Answer:
[tex]57,020,000 = 5.702\cdot10^7[/tex]
Find the slope of the line. ( -4, -4), ( 4, 3)
Answer:
Step-by-step explanation:
Answer:
Slope:-1/8
Step-by-step explanation:
Slope=(y2-y1)/(x2-x1)
(-4,4) (4,3)
x1 y1 x2 y2
(3-4)/(4-(-4))
-1/(4+4)
-1/8
Which of the following is NOT a common factor of 18w and 30wz. *
Multiple choice.
3w
6
6wz
W
HELP ASAP PLZ.
Answer:
6wz
Step-by-step explanation:
z is not part of 18w, so it's not one of the factors for both 18w and 30wz
From the options provided, the factor '6wz' is not a common factor of 18w and 30wz because no such term exists in the factorization of the expression 18w.
Explanation:The common factors of 18w and 30wz can be determined by breaking down each expression into its unique factors. For 18w, the factors are 2, 3, 3, and w. For 30wz, the factors are 2, 3, 5, w, and z. The common factors between the two expressions are 2, 3, and w.
From the options provided (3w, 6, 6wz, w) - we can see that 3w and w are indeed common factors of both 18w and 30wz. The number 6 is also a common factor as it can be achieved by multiplying 2 and 3, which are present in both expressions.
However, 6wz is not a common factor. Although the '6', 'w' and 'z' parts are contained within 18w and 30wz separately, the combination of '6wz' cannot be made using the factors of 18w since the term 'z' is not included in its factors.
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Could somebody help me with this please?
Answer:
Take a look below;
Step-by-step explanation:
See attachment;
5/10 + 8/100= ?
13/100, 40/100, 58/100, 6/10
Answer:
58/100
Step-by-step explanation:
The first step is to make the two fractions have a common denominator. 5/10=50/100. Now you can add the two fractions together. 50/100+8/100=58/100. Hope this helps!
Solving systems of equations algebraically.
y = x + 2
y= 3x -2
And SHOW YOUR WORK!!!!
Answer:
x = 2
y = 4
Step-by-step explanation:
Since it gives you the "value" of y, just plug one of them into an equation:
y = x + 2
3x - 2 = x + 2
Now, subtract x from both sides:
3x - 2 = x + 2
-x - x
__________
2x - 2 = 2
Then, add 2 to both sides:
2x - 2 = 2
+ 2 + 2
________
2x = 4
Finally, divide both sides by 2:
2x = 4
x = 2
Now to get y, just plug in 2 for x in an equation:
y = x + 2
y = 2 + 2
y = 4
Use the coding matrix shown below to encode the telephone number (555) 265-1431.
[3-37]
[- 13 5]
To encode the telephone number (555) 265-1431 using the coding matrix [3-37][- 13 5], match each digit with its corresponding code.
Explanation:To encode the telephone number (555) 265-1431 using the coding matrix [3-37][- 13 5], we match each digit with its corresponding code. First, we look at the area code (555). The code for 5 is 13, so we write it as 13. The codes for 2, 6, and 1 are 3, -13, and 5 respectively, so we write them as 3, -13, and 5. Finally, for the remaining digits (2651431), we encode each digit using the coding matrix. The encoded telephone number is 13-3-7-13-3-5-1-3-5.
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Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.
In parallelogram LMNO, what is the measure of angle M?
20°
60°
80°
100°
Answer:
Answer:
80degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, the opposite angle of the parallelogram are equal hence;
5x= 3x+40
5x - 3x = 40
2x = 40
x = 40/2
x = 20degrees
Also <M + <N = 180
<M + 5x = 180
<M + 5(20) = 180
<M + 100 = 180
<M = 180-100
<M = 80degrees
Hence the measure of angle M is 80degrees
Step-by-step explanation:
For the given parallelogram measure of angle M is 80 degrees.
In the given parallelogram,
Angle N = 5x degree
Angle L = (3x + 40) degree
Now for parallelogramm
angle L = angle N
⇒ (3x + 40) = 5x
⇒ 2x = 40
⇒ x = 20
We know that for a parallelogram sum of two consecutive angles = 180 degrees.
Angle M + angle N = 180 degree
⇒ Angle M + 5(20) = 180 degree
⇒ Angle M = 80 degree
Hence the measure of angle M is 80 degree.
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A bag contains purple marbles and yellow marbles, 52 in total. The number of purple marbles is 4 more than 3 times the number of yellow marbles. How many purple marbles are there?
Answer:
16
Step-by-step explanation:
This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.
Answer:
40
Step-by-step explanation:
P= purple marbles
Y= yellow marbles
P+y=52
P=3y+4
Anyways. I got it wrong and the website says 40.
2. A 48-foot rope is cut into three lengths. The second length of rope is twice the first
length. The third length of rope is one-fifth the first length. What is the third length?
8
Answer:
48/3.2=15
30
15
3
Got 3.2 from Second length is twice the third so we divide by 2 + 1 = 3
0.2 is from 1/5 = 0.2
3 is the third length
30 is second length and 15 is the first.
Step-by-step explanation:
The question relates to solving a simple algebraic equation. The first length of rope is identified as 15 feet. Consequently, the third piece, which is a fifth of the first length, is 3 feet.
Explanation:We can solve this problem by first setting up an equation using the information given in the problem. Let's call the first length of rope x. Then according to the problem, the second length is twice the first length, or 2x, and the third length is one-fifth of the first length, or x/5. So, the total length of the rope is x + 2x + x/5 = 48.
First, we have to combine like terms on the left side to get 3x +(1/5)x equal to 48. If we multiply every term in the equation by 5 to clear out the fraction, we get 15x + x = 240. Combined, we have 16x equal to 240. Finally, we divide each side by 16 to solve for x. This gives us x equal to 15.
So, the third length, which is one-fifth of the first length, would be 15 divided by 5, which equals 3. Therefore, the third length of the rope is 3 feet.
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If is believed that the best angle angle to fly a kite is 45 degrees.
If you fly a kite at this angle and let out 225 feet of string.
approximately how high above the ground will the kite be?
1)200 feet
2)150 feet
3)250 feet
4)100 feet
Answer:
2) 150 feet
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = 45°
Opposite Leg = h (height)
Hypotenuse = 225
Step 2: Solve for h
Substitute [Sine]: sin45° = h/225Isolate h: 225sin45° = hRewrite: h = 225sin45°Evaluate: h = 159.099Round: h ≈ 160 ftHere we see that the closest value to 160 ft is 2) 150 feet.
Answer:
150
Step-by-step explanation:
PLEASE HELP ASAP
what is the slope of the line?
Answer:
-2/3
Step-by-step explanation:
To find the slope of a line, find the difference between two points. The distance between (3, 3) and (0, 5), for example, is x = 3 and y = -2. Since we are determining slope, y must be over x. Therefore, the final answer is -2/3.
If we will chose two kings from the deck of 52 cards, in how many ways we can select three more cards from the same deck to have three of the same kind and two of another.
Answer:
192 total ways
Step-by-step explanation:
This time, we have already 2 selected kings, therefore we must find the remaining 3 cards.
There are two general ways to do this:
Case 1: you draw two of some other matching cards and another king
Case 1 - K + X + X where K is a King and X is some other card than a King. So there are 2 Ks to draw. Then there are 12 other cards that are not from the king, and since you get two of them it would be 2 taken from 4:
4C2 = 4! / (2! * (4-2)!) = 6
Therefore there are 6 different arrangements of the two.
So 2 * 12 * 6 = 144 total ways to do this.
Case 2: you draw three of some other matching cards
Case 2 - X + X + X where the Xs are all non-king cards. So 12 cards to choose from, and then calculate 3 taken from 4:
4C3 = 4! / (3! * (4-3)!) = 4
Therefore there are 4 different arrangements of the three. So 12 * 4 = 48 total ways to do this.
Which means that:
144 + 48 = 192
There are 192 total ways to get a full house when you start with two kings.
What is the residual value when x = 3? –1.8 –0.2 0.2 1.8
Answer:
-1.8
Step-by-step explanation:
The residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1 option first is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The missing data:
The line of the best fit is:
y = 1.6x - 4
When x = 3
Plug x = 3 in the above line equation:
y = 1.6(3) - 4
y = 4.8 - 4
y = 0.8
Now the residual value = actual value - expected value
= -1 -0.8
= -1.8
Thus, the residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1
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Are the two triangles below similar?
Answer:
No. the b and c angle is 65 and the e and f angle is 85. different sizes.
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
hope we can be friends
can i please get brainliest
Explain how leaders supported writers.
Answer:
A lot of money was spent to support writers to create literature.
Step-by-step explanation:
A club has 20 girls and 30 boys. If two
names are drawn at random from a
box, what is the probability a boy and
girl are selected if the names are
returned to the box?
The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 5 or more?
Final answer:
To find the probability that the numbers on the orange and aqua spinners will add to 5 or more, determine the favorable and total outcomes. The probability is 11/36.
Explanation:
To find the probability that the numbers on the orange and aqua spinners will add to 5 or more, we need to determine the favorable outcomes and the total possible outcomes. Let's say the orange spinner has numbers 1 to 6, and the aqua spinner also has numbers 1 to 6. To get a sum of 5 or more, we can have the following outcomes:
Orange spinner: 1, Aqua spinner: 5 or 6
Orange spinner: 2, Aqua spinner: 4, 5, or 6
Orange spinner: 3, Aqua spinner: 3, 4, 5, or 6
Orange spinner: 4, Aqua spinner: 2, 3, 4, 5, or 6
Orange spinner: 5 or 6, Aqua spinner: 1, 2, 3, 4, 5, or 6
These are a total of 11 favorable outcomes. The total possible outcomes are 6 ×6 = 36, since each spinner has 6 numbers. Therefore, the probability of getting a sum of 5 or more is 11/36.