Answer:(x-4)^2+(y+2)^2=121
Step-by-step explanation:
eqaution of circle is this
(x-h)^2+(y-k)^2=r^2
(x-4)^2+(y--2)^2=r^2
and 2 negatives make positive
(x-4)^2+(y+2)^2=r^2
and r^2=121
(x-4)^2+(y+2)^2=121
nth term of -4 ,1, 12 ,29, 52
Answer:
[tex]3n^2-4n-3[/tex]
Step-by-step explanation:
The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].
Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:
-4, 1, 12, 29, 52
3, 12, 27, 48, 75
Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:
-7, -11, -15, -19, -23
The nth term of this new sequence is -4n-3.
By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].
Hope this helps!
solve inequality
-3m > 75
Step-by-step explanation:
-3m > 75
3m < -75
m < -25
that's it.
Answer:
m< - 25
Step-by-step explanation:
-3m > 75
(-3m)/(-3) <75/(-3) (divide both members by (-3) (which is a negative number so ">" becames "<")
m<-25
(5, -7) and (6,-4)
What is the slope?
Mrs.Howard paid 45$ for 3 packs of diapers. Write an equation relatin the cost, c , to the number of packs of diapers, d. The equation should be form of direct variation, and use the ewuation you wrote for this to find out how much mrs..howard would pay for 11 packs of diapers. Please help, worth lots of points,
Answer:
165 is your cost in dollars
Step-by-step explanation:
d = 15c
11 * 15c = 165c
The proportion of all US adults who eat popcorn when they go to the movie theater is p = 0.87. A random sample of 20 US adults was selected and asked if they eat popcorn when they go to the movie theater. Which of the following is the shape of the sampling distribution of p hat ?
The sampling distribution of p hat is approximately Normal because n p = 17.4 greater-than 10.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10, the sampling distribution of p hat is not approximately Normal. The sampling distribution of p hat is skewed right and centered at 0.87.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10 , the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the left.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10, the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the right.
The option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero.
Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
Because the requirement for normal is greater than 10, n×p is greater than 10 and nx(1-p) is also greater than 10.
This situation is abnormal because it is not valid. If p is close to 1 in a normal graph, then p is left skewed.
Thus, the option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero. Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ1
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?
Answer:
28/171
Step-by-step explanation:
The probability initially of drawing a red would be 8/19 since there were 19 marbles in the bag in the beginning. However, without replacement, the probability of drawing another red would be 7/18 as there would be one less red and one less marble in the bag so to find the combined probability of getting 2 red marbles, multiply 8/19 by 7/18 to get: 56/342 = 28/171
PLEASE HELP ILL MAKE YOU THE BRAINIEST!! For what value of X must ABCD be a parallelogram?
Answer:
because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2
When 2(x+2y-x-1-2y+3) is simplified, what is the resulting expression?
X+
0 17 x + 2 y +6 plssss help
Answer:
4
Step-by-step explanation:
2x+ 4y -2x-2-4y+6
2x-2x+4y-4y-2+6
0+0+4
The shape is composed of squares and quarter circles. What is the perimeter?
What is 3.9047 rounded to the nearest thousandth?
Answer: 3.905 rounded
Step-by-step explanation: The thousandth in this number is 4.
Round it up since when its 5 or more you add 1 more/raise the score
The answer is 3.905
find the surface area of this cylinder, round to the nearest tenth
I'll give brainliest
Answer:
113.1
A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1
How many different combinations of six people can sit in four chairs?
assume one person sits in each chair.
Answer:
15Step-by-step explanation:
the number of combinations of 4 people we can form from 6 is :
[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]
i cant find the height to the area!!! THE SHAPE IS A TRIANGLE
area is 21.9
the base is 6
and the height is x
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3
Answer:
7.3
Step-by-step explanation:
The formula to find the area of a triangle is (1/2)(a)h = A.
Replace the variable h (height) with x.
Isolate the x variable (height) in order to find the height value.
(1/2)(6)x = 21.9
3x = 21.9
x = 21.9/3
x = 7.3
Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10
The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15
How to determine the experimental probability?From the table of values, we have:
Yellow = 8
Total = 30
The experimental probability is then calculated using:
P(Yellow) = Yellow/Total
This gives
P(Yellow) = 8/30
Simplify
P(Yellow) = 4/15
Hence, the experimental probability is 4/15
Read more about probability at:
https://brainly.com/question/25870256
#SPJ1
Which number added to -14 will equal 9?
Answer:
23
Add positive 14 and 9 to get 23
14 + 9 = 23
-14 + 23 = 9
Please help me please help me
plssss helppp meeeee
Answer: s = 47°
Step-by-step explanation:
This shape is a hexagon because it has 6 sides.
-> There are 720° total in a hexagon.
Using this information, we will add together all the angles, set it equal to 720°, and solve for x.
(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°
3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°
3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°
15s° + 15° = 720°
15s° = 705°
s = 47°
Using f(x) = 4x + 6 with a domain of {-1, 0, 2), find the range.
A. {10, 6, 15)
B. {2, 14)
C. {-4, 0, 8}
D. {2, 6, 14}
Answer:
D
Step-by-step explanation:
Start by plugging in all the domain values (domain means input) into the function.
f(-1) = 4(-1) + 6 =-4+6=2
f(0) = 4(0) +6=0+6= 6
f(2) = 4(2) +6 = 8+6=14
The diameter of a pipe is 6 cm. If the pipe is 35 cm long, what is its volume?
Use the value 3.14 for 7, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
I can't solve it.
Step-by-step explanation:
A
12
13
14
TIME REMAINING
01:48:01
What will be the result of substituting 2 for x in both expressions below?
3x+4
x+6–3x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
o One expression equals 5 when substituting 2 for x, and the other equal2 because the expressions are not
equivalent
o One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent
Mark this and return
Save and Exit
Next
Submit
None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.
How can we find the solution to an equation?
We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The given equation is;
Equation 1;
[tex]\rm 3x+4[/tex]
Equation 2;
[tex]x+6-3x-2[/tex]
After putting the value 2 on the place of x we get;
Equation 1;
[tex]\rm = 3x+4[/tex]
[tex]=3 \times 2+4 \\ =10[/tex]
Equation 2;
[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]
Hence, the none of the given options are matching.
To learn more about the equation, refer to the link;
https://brainly.com/question/10413253
#SPJ1
Here are some fractions.
3/10 7/20 2/5 1/4
Write these fractions in ascending order.
Answer:
1/4, 3/10, 7/20, 2/5
Step-by-step explanation:
1/4 = 25%
3/10 = 30%
7/20 = 35%
2/5 = 40%
Which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)
The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
How to determine the complete factorization?The expression is given as:
9x² + 3x - 2
Expand the equation
9x² + 3x - 2 = 9x² + 6x - 3x - 2
Factorize the expression
9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)
Factor out 3x + 2
9x² + 3x - 2 = (3x - 1)(3x + 2)
Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
Read more about expressions at:
https://brainly.com/question/723406
#SPJ4
Answer:
Factor by grouping.
(3x−1)(3x+2)
Step-by-step explanation:
Use the summation notation to write the series
10+5+0+(-5)+(-10)+(-15)
Hey there!
10 + 5 + 0 + (-5) + (-10) + (-15)
= 10 + 5 - 5 - 10 - 15
= 15 - 5 - 10 - 15
= 10 - 10 - 15
= 0 - 15
= -15
Therefore, the answer should be: -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP!
Six guinea pigs are released in an area with no natural predators. The guinea pig population quadruples every year. Write a function P that represents the guinea pig population at a given time T measured in years. Choose the function below that represents the inverse function P-1
Use the inverse function to find how long it will take the guinea pig population to reach 1,000 and choose the response that correctly states this information.
The time taken for the population of the pig to reach 1000 will be almost four years.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Six guinea pigs are released in an area with no natural predators.
The guinea pig population quadruples every year.
Write a function P that represents the guinea pig population at a given time T measured in years.
Then the function will be
[tex]\rm P = 6 (4)^T[/tex]
Then the inverse function of P will be
[tex]\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}[/tex]
Then the time taken for the population of the pig to reach 1000 will be
[tex]\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Simplify the expression. Write your answer as a power.
The simplified expression is
Answer:
(-4)^5
Step-by-step explanation:
(-4)^(8 + 3)/(-4)^(4 + 2) = (-4)^11/(-4)^(6) = (-4)^(11-6) = (-4)^5
f(x) = 10x +3
g(x) = -7x-4
What does (f- g) (x) equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
Answer:
f-g=10x+3-(-7x-4)
=10x+3+7x+4
=17x+7
(f-g)(x)= 17x+7
Answer:
17x + 7
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = 10x + 3
g(x) = -7x - 4
Simplify:
(10x + 3) - (-7x - 4)
(10x + 3) - (-7x) + - (- 4)
10x + 3 + 7x + 4
17x + 7
Learn more here:
brainly.com/question/16287318
I need help for this one.
Answer:
5
Step-by-step explanation:
When you are looking for a pattern, look at one of the examples, makeup the pattern, then check it on the other examples.
Wrong answers may work on one, but not all the completed examples.
The right answer will work on all of the examples, then use that rule on the incomplete one.
So, I looked at the second one in the top row. The two bottom numbers, 5 + 13 makes 18. And 18÷3 (the top number, gives the center number) Check on other examples.
bottom + bottom=_
_÷top=center.
8+4=12, 12÷3 =4.
9+5=14, 14÷2=7
Both of these work.
So use the rule for the last one.
Add the bottom numbers, divide by the top number, fill it in the middle.
14+6=20
20÷4=5
Fill in 5.
If as = 24, a, = 40, then find a20
Answer:
[tex]a_{20}[/tex] = 84
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d
~~~~~~~~~~~~~
[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24
[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40
[tex]a_{1}[/tex] + 4d = 24 ........... (1)
[tex]a_{1}[/tex] + 8d = 40 ........... (2)
(2) - (1)
4d = 16 ⇒ d = 4
[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8
[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84
Which of these equations have no solution? check all that apply. 2(x 2) 2 = 2(x 3) 1 2x 3(x 5) = 5(x – 3) 4(x 3) = x 12 4 – (2x 5) = (–4x – 2) 5(x 4) – x = 4(x 5) – 1
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) - 1 has no solution
Equations with no solutionsEquations with no solutions has two of its sides to be equal.
From the given option, we can check he equation
5(x + 4) - x = 4(x+5) - 1
Expand
5x + 20 - x = 4x + 20 -1
4x +20 = 4x + 19
4x - 4x = -1
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) - 1 has no solution
Learn more on no solution here: https://brainly.com/question/1792644
#SPJ4
Darci sets up a room for a banquet.
She has 54 chairs. She places 9 chairs
at each table. How many tables have
9 chairs?
Answer:
6 tables
Step-by-step explanation:
54 chairs divided by 9 chairs = 6 tables have 9 chairs :)
Answer:
Step-by-step explanation:
Given:
There are 54 chairs in total.She places 9 chairs at each table.To find:
Amount of tables that have 9 chairs.Solution:
⇒ 1 : Based on the given conditions, formulate
⇒ 54 ÷ 9
⇒ 2 : Calculate
54
----
9
= 6.75
Round down in this case, so
⇒ Answer: 6.