A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?
Answer:
7/10
Step-by-step explanation:
There are 10 people in total and 7/10 of them are nurses
or 0.7 out of 1 probability
3. In the expansion of (ax^2+ by)^8 the coefficients of last two terms are -5832 and 6561, respectively.
Find the values of: a and b
Answer:
a = -0.33
b = 3
Step-by-step explanation:
(ax²+ by)⁸
by the 8th level of Pascal Triangle, the coefficient of last 2 terms are
8 a*b⁷ = -5832 ... last 2nd term 8 ab⁷ x²y⁷
b⁸ = 6561 ... last term b⁸y⁸
b = 3
a = -5832/(8*3⁷) = -0.33
1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?
y=2x-3
2x-3
2(-1)-3=-5
Complete the ordered pair for the equation y=-3x - 5.
(__,4)
Answer:
[tex](-3,4)[/tex]
Reasoning:
This problem is telling you that if y equal 4, what does x equal?
You can easily insert the y value to find the constant x.
[tex]4=-3x-5[/tex]
[tex]9=-3x[/tex]
[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]
[tex]-3=x[/tex]
If a given triangle
has interior angles
measuring 24° and
85°, what is the
measure of the third
angle?
Answer:
solution,
x+85+24=180 (being sum of angle of triangle)
x+109=180
x=180-109
x=71
therefore, the third angle is 71
Answer just below :-
Step-by-step explanation:
Let the third angle be x
Then;
24°+85°+x = 180 ( sum of interior angles of a triangle is 180°)
or; 109°+x = 180°
or; x = 180°-109°
:x=71°
Therefore the measure of third angle is 71°
If Susan can type 72 words per minute, how long will it take her to type her 360 word essay?
Answer:
5 minutes
Step-by-step explanation:
72/1 = 360/5
Which is the correct equation to find the missing side?
Answer:
( AB )² + 12 = 162
Step-by-step explanation:
By Pythagoras theorem,
( AB )² + ( BC )² = ( AC )²
( AB )² + ( 2√3 )² = ( 9√2 )²
( AB )² + 12 = 162
Step-by-step explanation:
it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,
h² = a² + b²
here in the given figure we have to find base or b²
(AC)² = (CB)² + (AB)²
we know,
AC = 9√2
CB = 2√3
now,
162 = 12 + AB
THEREFORE, OPTION B is correct.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
solve pls brainliest
Answer:
30yd^3
Step-by-step explanation:
dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3
Don’t understand please help
Answer:
Table I blank is 1
Table II blank is 1.398
Hi, please help again lol
Answer:
?? No questions asked here
five times a number increased by seven is equal to forty-seven what is the number
Answer: The number is 8
Please mark brainliest
Step-by-step explanation:
8 is the value of the unknown number 'x' from the equation 5x + 7 =47.
What is linear equation?
" Linear equation is defined as the algebraic expression which has highest power of the given variable equals to one."
According to the question,
'x' represents the unknown number.
As per the condition given linear equation we get,
5x + 7 = 47
Add (-7) both the sides
5x + 7 + (-7) = 47 + (-7)
⇒5x = 40
Divide by 5 both the sides we get,
(5x) / 5 = 40 / 5
⇒ x = 8
Hence, 8 is the value of the unknown number 'x' from the equation 5x + 7 =47.
Learn more about linear equation here
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3. A cubic polynomial with rational coefficients has the roots 6+ Fo and. Find one additionalroot.
0-6-v6
06-16
0-6+ /6
06- 6
Answer:06-16
Step-by-step explanation:
HELPPPPPP!!!!!!!!!!!!!!!
Answer:
I might be wrong i think its C but double check and dont put it in until you are sure its right
Step-by-step explanation:
Gigi graphs the parabola (x+1)2=2(y−3).
How does she proceed?
Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.
After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:
Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].
Since Gigi's parabola has the x-term squared, then the parabola has the general formula
[tex](x-h)^2=4p(y-k)[/tex]
So,
[tex]x-h=x+1 \implies h=-1[/tex]
[tex]y-k=y-3\implies k=3[/tex]
The vertex is
[tex](h,k)=(-1,3)[/tex]
The focus is
[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]
The directrix is
[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]
The other values can be computed as follows;
Direction the parabola opens: Since the value of p is positive, the parabola opens up.
Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is
[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]
Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be
[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]
Learn more about conic sections here: https://brainly.com/question/12854078
Answer:
I took the quiz.
Step-by-step explanation:
Please help me with this question
Answer:
Step-by-step explanation:
3/5 = 0.6
0.6> 0.2
1/2 = 0.5
0.5 > 0.35
2/10 = 0.2
0.2 > 0.152
I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)
a. 3
b. -10
c. 0
dddwdwcd
what is the y-intercept of the function, represented by the table of values below
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
The interest on $2,000 for two years is $320 what is the simple interest rate.
Answer:
$640
Step-by-step explanation:
im actually not too sure. i think thats right
Answer:
320
Step-by-step explanation:
why do u get to determain how many daily limits i can have u encourge alot of a ton people to buy you're vip for over priced prices it dum and so is youre app
PLEASE HELP! ;-;
A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?
Answer= [ ? ] hertz
The particle has a frequency of 0.032 hertz.
The particle experiments a sinusoidal motion, whose mathematical model is described below:
[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)
Where:
[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.The frequency ([tex]f[/tex]), in hertz is defined by this formula:
[tex]f = \frac{\omega}{2\pi}[/tex] (2)
By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):
[tex]f \approx 0.032\,hz[/tex]
The particle has a frequency of 0.032 hertz.
We kindly invite to check this question on simple harmonic motion: https://brainly.com/question/17315536
how do you solve this
Answer:
See below:
Step-by-step explanation:
So, the first step to solving the problem is to find out what type of triangle it is
and what rule of goemetry we can use to solve it.
Finding What Theorem We Can Use
So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.
One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:
[tex]<ABC= <ACB[/tex]
Since we know this rule, we can solve for the equation.
Solving
We can solve for this by using two things that we know:
+ Sum of all angles in a triangle is 180 degrees.
+ Bottom two sides are congruent.
Since we know that, we can solve for the answer:
[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]
After solving, we know that x is 50 degrees!
Cheers!
(Feel free to comment a question if you didn't understand something!)
How to do
97 X 98
step by step plz
Answer:
9506
Example:
Multiply the 7 and 8 to get 56.
Since 56 is greater than 9, you'll have to carry the 5.
5
9 7
x 9 8
___________
6
Multiply the 9 and 8 to get 72.
And, add the carried 5 to get 77.
77 is greater than 9, but there are no more digits to carry over, so just write the 7 down in front.
7 5
9 7
x 9 8
___________
7 7 6
Multiply the 7 and 9 to get 63.
Since 63 is greater than 9, you'll have to carry the 6.
6
9 7
x 9 8
___________
7 7 6
3 0
_____________
Multiply the 9 and 9 to get 81.
And, add the carried 6 to get 87.
87 is greater than 9, but there are no more digits to carry over, so just write the 8 down in front.
8 6
9 7
x 9 8
___________
7 7 6
8 7 3 0
_____________
Then add 776 + 8730 to get your answer which is 9506! :)
1 1
7 7 6
+ 8 7 3 0
_________
9 5 0 6
The ordered pairs in the table below represent a linear function.
C D
Х
y
2
6
9
8
What is the slope of the function?
AN
4
Mark this and return
Save and Exit
Next
Subm
The slope of the function is 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the table having points (6, 2) and (9, 8).
So, the slope of line
= (8-2)/ (9-6)
= 6 / 3
= 2
So, the slope of line is 2.
Learn more about Slope here:
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what's the opposite of 42?
Answer:
- 42
Step-by-step explanation:
The opposite of 42 is negative 42.
which of the following sets of numbers could represent sides of a triangle?
Answer:
Hey mate...
Step-by-step explanation:
This is ur answer.....
The sum of the lengths of any two sides of a triangle must be greater than the third side. (a)(8,11,19)⇒8+11 not greater than 19 , (N.G.) (d)(13,4,8)⇒4+8<13 , (NG). Hence, option (b) is the only answer.
Hope it helps!
Brainliest pls!
Follow me! :)
A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?
Answer:
P = 34 1/8 inches
Step-by-step explanation:
P = 2l + 2w
P = 2(10 3/16) + 2(6 7/8)
convert 10 3/16 to an improper fraction: 163/16
convert 6 7/8 to an improper fraction: 55/8, which equals 110/16
P = 2(163/16) · 2(110/16)
P = 326/16 + 220/16
P = 546/16
P = 34 1/8 inches
Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?
Answer:
37/40
Step-by-step explanation:
3/8 7/10
80/40 - 15/40 - 28/40 = 37/40
two whole shampoo - uses at home - uses on holiday = left
greatest from least 2lb., 891 g., 1 kg., 0.02 T.
Step-by-step explanation:
i think the greatest from is 0.02 T
If Maria designs a function to predict the amount of revenue, r, generated as a function of the number of people, n, who attend a fundraiser, explain why 13.5 would not be a member of this function's domain?
Answer:
Only whole numbers of people, n, are assumed in the calculation.
Step-by-step explanation:
The function relating the number of people, n, to the revenue, r, implicity assumes that only whole people will purchase tickets. 13.5 would mean that 13 normal people and 1/2 of a person bought tickets. This can't be in the domain, since the ticket saleperson would run away if 1/2 of a person showed up: thus no ticket sale.
Actually, it may depend on how one defines a person. Is it 1/2 physically, or 1/2 mentally? I've personally seen the latter show up at some fundraisers.
Anyone know what this truly means?
Answer:
The person is saying that everyone has their own view of God.
A example is...
"I believe God isn't real"That is someones view on God.