Answer:
50000000
Step-by-step explanation:
what is the radius of a circle with the equation x^2+y^2-14x+10=250
Answer:
radius is 17
Step-by-step explanation:
Use "completing the square" to rewrite the given equation in standard form for a circle centered at (h, k) with radius r:
x^2+y^2-14x+10=250 becomes:
x^2 - 14x + y^2 = 240 after grouping x terms and y terms separately.
Completing the square, once for x and once for y, results in:
x^2 - 14x + 49 - 49 + y^2 = 240.
Rewriting x^2 - 14x + 49 as the square of the binomial x - 7 results in:
(x - 7)^2 + y^2 = 289 = 17^2
From this we recognize that the center is at (7, 0) and the radius is 17.
Find the length of the unknown side.
25 cm
15 cm
Answer:
b = 20 cm.
Step-by-step explanation:
Define and explain:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
Solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
[tex]15^2+b^2=25^2[/tex]
[tex]225+b^2=625[/tex]
[tex]625-225=400[/tex]
[tex]b^2=400[/tex]
[tex]b=20[/tex]
Conclude:
Therefore, the length of the unknown side is 20 centimeters.
Write an algebraic expression for the situation.
3.2 less than a number m
Answer:
m - 3.2
Step-by-step explanation:
Find the area of a sector with an arc length of 60 in. and a radius of 15 in.
A. 117.75 in.2
B. 282.60 in 2
C. 450 in.2
D. 6,750 in.2
Answer:
C. 450 in.2
Step-by-step explanation:
You toss a coin and roll a six-sided die twice. What is the probability of landing on heads, rolling a 2, and then rolling a 4?
Answer:
1/72
Step-by-step explanation:
The probability of landing on heads is 1/2
The probability of rolling a 2 is 1/6
The probability of rolling a 4 is 1/6
[tex]\frac{1}{2} *\frac{1}{6} *\frac{1}{6} =\frac{1*1*1}{2*6*6} =\frac{1}{72}[/tex]
Which triangles are similar?
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
84,327.50 cubic meters
Step-by-step explanation:
Volume of a cone 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 25^2 x 129 = 84,327.50 cubic meters
The height of a cylinder is 12" and the radius is 3.5" what is the proximate volume of the cylinder
Answer:
461.81
Step-by-step explanation:
you can round to your liking!
plz help meeeeeeeeeeeeee
Answer
x=52/5
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators next
Cancel multiplied terms that are in the denominator after that you
Multiply the numbers
what is the average rate of change of f(x) = (x + 3)2 − 2
Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:
[tex]r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12[/tex]
If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)
given m//n find the value of x. see attachment.
Answer:
look at the picture i have sent
What is a linear equation represents a line with a slope of −7 and a y-intercept of 12?
Answer:
y = -7x + 12
Step-by-step explanation:
y = mx + b
The m (slope) is -7 and the y is 12, substitute the numbers into the equation
What is the equation of the trend line in the scatter plot ?
Answer:
Equation: -3x + 18
Hope this helps!
Use the graph of f to find f(2).
A. 0.5
B. -0.5
C. Does not exist
D. -8
Answer choices are based off of picture
A
B
C
D
Answer:
I think A
hope it's help.
how to use a compass
Answer:
Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and
Adjust Declination. North on a map is easy to find (it’s at the top)
Orient Your Map
Take a Bearing
I hope this helps :3
which expression correctly shows the sum of the product of 9 and 5 difference of 24 and 6?
Answer:
72
Step-by-step explanation:
When you multiply 9 and 5 you get 45. When you subtract 6 from 24 you get 18.
45 + 18 = 72
If helpful please mark me brainliest!
The correct expression for the sum of the product of 9 and 5 and the difference of 24 and 6 will be (9 × 5) + (24 -6) which will be equal to 63.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement in the question,
Product of 9 and 5 i.e., 9 × 5 and,
Difference of 24 and 6 i.e., 24 - 6
Thus sum will be,
(9 × 5) + (24 - 6)
The result of the expression is 63.
To know more about an expression:
https://brainly.com/question/14083225
#SPJ2
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states that the top 8% of the class will receive an A; the next 20% will receive a B; the next 42% will receive a C; the next 18% will receive a D; and the bottom 12% will receive an F. What grade must you exceed in order to receive a grade of C or better
Answer:
65.45
Step-by-step explanation:
Zscore = (x - mean) / standard deviation
x = score
Percentage below C :
D = 18% ; F = 12%
Sum = 30%
Obtain the Zscore for the proportion below D
P(Z < 0.30) = -0.524
Hence, Zscore = -0.524
Put Zscore = -0.524 in the equation :
-0.524 = (x - 72) / 12.5
-0.524 * 12.5 = x - 72
-6.55 = x - 72
-6.55 + 72 = x
x = 65.45
To receive a grade of C or better, score must be atleast 65.45
Given m||n, find the value of x. See attachment.
Answer:
hope it will helps you please heart my answer!
True or False: y = x2 + 3 is a function.
A. True
B. False
Answer:
B
Step-by-step explanation:
Answer:
A. true
Step-by-step explanation:
Help pls I'll give briliantest to who ever is right
Answer:
12.2h + 18.2 yd^2.
Step-by-step explanation:
Surface area = 2hl + 2hw + 2lw where h = height, w = width and l = length.
= 2 * 2.6h + 2 * 3.5h + 2*2.6*3.5
= 5.2h + 7h + 18.2
= 12.2h + 18.2.
Chloe wants to buy a shirt at the store that cost $14.99. She also wants to
buy a pair of shoes that cost $25.99. She has a coupon for x dollars off her
entire purchase. She spends a total of $30.98 at the store. Which equations
could be used to find the value of the coupon, X. Choose all that apply. *
14.99 + 25.99 - X
14.99 + 25.99 - X = 30.98
40.98 - x = 30.98
14.99 - X + 25.99 = 40.98
Answer:
14.99 + 25.99 - X = 30.98
14.99 + 25.99 - X
Step-by-step explanation:
They all relate to what the question is asking, and make the most sense
HELP WHAT STEPS DO I NEED TO DO TO SOLVE :
(2+(-3)(5))(3+2(-6))
Answer:
117
Step-by-step explanation:
(2-15)×(3-12)= -13×(-9)= 117
Kyra has 850 beads to make a necklace for her friends. Each necklace will use 90 beads. How many necklaces will she be able to make
Answer:
9 necklaces with 40 extra beads
Answer:
Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.
Step-by-step explanation:
850/90= 9 r40
joe had 4.03 clip's and 5.09 clip's how much wood this be
Answer:
3/4 x 56 = 42 = Joe
2/7 x 42 = 12 = Keith
Clue: the word 'of ' tells us that we need to multiply.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!!!!!!!!!!!!!!
Answer:
i thiiiink its b
Step-by-step explanation:
HELP HELP HELP HELP ...
Answer:
A - since the median can be any number we know of. B - Again the median can be any number we know of, since it is a undetermined amount. E - The range can be 10 flights, this is because it is not a determiend value, and it is possible for the value to be 10.
Step-by-step explanation:
Wrong answer reasoning:
The mode doesnt need to be 9 if there is more than 1 mode, so that isnt it. Eliminating D. The mean can most definatly be determinded if we know the values. This elimnates C. The mean can be 6.875, but we dont know, so we can assume it IS 6.875. This eliminates F.
Hope this helps!
What is the range of the function graphed below?
Answer:
[tex]-\infty < y < -2[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The range of the graph
From the graph we can see that the curve points down towards the y-axis,
This means that y starts from a [tex]-\infty[/tex] number
Coming up, the curve stops increasing at 2 and becomes horizontal; This means that y ends at 2
Hence, the range is: [tex]-\infty < y < -2[/tex]
What is the area of the shaded region? 37 ft 29 ft 21 ft 16 ft
Given to
BE
EC
Prove: AB || DE
A
D
3
C
1
2
E
B
Complete the steps of the proof.
Answer:
Step-by-step explanation:
Given:
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]