Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
A number n times 33, decreased by 135, is 360. A number m times 18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.
Answer:
N = 6.8181. and m= 15
Step-by-step explanation:
33n-135=360
33n = 360-135
33n =225
n = 6.8281.
18m+90=360
18m=360-90
18m =270
m= 15
Fermat fc won 45% of the 60 games they played last season. How many games did fermat fc win last season
Answer:
Fermat FC won 27 games.
Step-by-step explanation:
Convert percentage to fraction
45% --> 45/100
Multiply the fraction by the dividend
45/100 x 60 = 27
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 15 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes. You swim 55 minutes. How many minutes did your friend swim?
Answer:
y=x+15
Friend swims 40 minutes
Step-by-step explanation:
We re told that you want to swim 15 minutes longer than your friend. In word problems, longer or more always means addition. This means we will add 15 minutes to your friend's swim time (x) so we can figure out how long you swam (y).
This gives us the equation: y=x+15
Part two:
We know that you swam 55 minutes. This means y=55.
55=y=x+15
55=x+15
Now we want to get x alone, or isolate it. We can do this by subtracting 15 from both sides.
55-15=x+15-15
15-15= 0 and 55-15= 40
40=x
Thus your friend swam 40 minutes
(Remember that whatever you do to one side of the equation, you have to do to the other. If you add 2 to the left hand side, you have to add 2 to the right hand side. If you, like we did above, subtract 15 from the right, you have to subtract 15 from the left too)
What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
Full working out for this question please
Answer: B. t = 9.6tan(29°)
Step-by-step explanation:
Based on the fact:
[tex]tan(x)=\frac{opposite}{adjacent}[/tex]
Set x = 29 and solve:
[tex]\\\\tan(29)=\frac{t}{9.6} \\\\t=9.6*tan(29)[/tex]
Question 7 of 25
The graph of F(x) can be compressed vertically and shifted to the right to
produce the graph of G(X). If F(X) = x2, which of the following could be the
equation of G(x)?
A. G(x) = {(x - 6)
O B. G(x) = {(x+6)
O c. G(x) = 2(x+6)
O D. G(X) = 2(x-6)
HELP ASAP PLEASEEEEEEEEE
3
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA.
It has no solution.
B.
It has infinite solutions.
O c.
It has a single solution: x = 15, y= 17.
OD
It has a single solution: x= -3, y = 26.
Answer:
X= –3, y=26
Step-by-step explanation:
3X+Y=17====> –2(3X+Y)=–34===> –6X–2Y=–34
X+2Y=49
Aight so let's head to the sum
–5X=15===> X=–3
–3+2Y=49===> 2Y=52===> Y=26
indentify the explicit function for the sequence in the table
Answer:
Option B
a(n) = 8 + (n-1) • 6
Answered by GAUTHMATH
Need help quick g on cdth
Answer:
B. 16
Step-by-step explanation:
You can find it by subtraction.
for example:
70-54=16
54-38=16
22-6=16
and so on
[tex] \frac{1}{3} + \frac{7}{15} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{5}{15} + \frac{7}{15y} = \frac{12}{15} = \frac{4}{5}[/tex]
ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2
Answer:
2xy^2
Step-by-step explanation:
First, 8/4 is 2.
2x^3y^5 / 4x^2y^3
Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.
Our final answer is 2xy^2.
The sum of two integers equals twelve, while their product equals thirty-five. Which two numbers are they?
Answer: 5 and 7
Step-by-step explanation:
Given
Sum of the integers is 12
Product of the integers is 35
Suppose the integers are [tex]x[/tex] and [tex]y[/tex]
[tex]\Rightarrow x+y=12\\\\\Rightarrow y=12-x\\\Rightarrow xy=35\\\text{Substitute y}\\\Rightarrow x(12-x)=35\\\Rightarrow 12x-x^2=35\\\Rightarrow x^2-12x+35=0\\\Rightarrow x^2-7x-5x+35=0\\\Rightarrow (x-7)(x-5)=0\\\Rightarrow x=5\ or\ 7[/tex]
[tex]\therefore \text{y can be }7\ or\ 5[/tex]
Hence, the numbers are 5 and 7.
i need help i don’t know the answer
Answer:
(3x - 4) (2x + 15)
Step-by-step explanation:
6x² + 37x - 60
Using "splitting the middle term" method,
we get;
6x² + 45x - 8x - 60
= 3x (2x + 15) - 4 (2x + 15)
= (3x -4) (2x + 15)
Describe the location of point (-3, -2, 3) in three-dimensional coordinate space.
Answer:
The usual way to draw a 3-D grid can be seen below.
The positive z-axis points upwards
The positive y-axis points to the right
The positive x-axis points towards you, or to the front.
And the notation for a point in 3-D is (x, y, z)
In this case, our point is (-3, -2, 3)
Then the location of the point can be described as:
So the x-value is -3, which means that the point is 3 units behind the origin.
The y-value is -2, which means that the point is 2 units at the left of the origin
The z-value is 3, which means that the point is 3 units above the origin.
Can somebody help me PLEASE IM BEGGING YOU !!
Answer:
37
Step-by-step explanation:
360 -(110+110+66) = 74
74/2 = 37
In a carnival drawing, a yellow ticket wins $1, a green ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
A. 1:1
B. 1:2
C. 2:1
D. 1:3
Answer: B. 1:2
Step-by-step explanation: Since there are 20 green tickets and 5 blue tickets that means there are 25 tickets that could win $5 or above and the total number of tickets are 50. That means there is a 25/50 chance you could win a ticket above $5. If you simplify the ratio you will get 1/2 or 1:2
The odds in favor of winning $5 or more is 1:2.
In a carnival drawing, a yellow ticket wins $1, a green ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 25 yellow tickets and 5 blue tickets.
What is the odd?
Odd refers to a number that will have a remainder of 1 when divided by 2. Odd also describes something that is unusual or weird. Odd has many other senses.
Since there are 20 green tickets and 5 blue tickets that means there are 25 tickets that could win $5 or above and the total number of tickets are 50. That means there is a 25/50 chance you could win a ticket above $5. If you simplify the ratio you will get 1/2 or 1:2.
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The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
Answer:
Common difference = 0.5
First term = 6.
Step-by-step explanation:
the 12th term a12 = a1 + d(12-1) where a1 = first term and d = the common difference.
So a1 + 11d = 10.5 ....(A) Similarly:
a1 + 17d = 13.5....(B)
Subtracting equations:
(B) - (A) :-
6d = 13.5 - 10.5 = 3
d = 3/6 = 0.5
From equation (A):
a1 + 11(0.5) = 10.5
a1 = 10.5 -5.5 = 5.
Answer:
Step by step explanation:
Answer:
Step-by-step explanation:
a) [tex]t_{n}[/tex] = 2n - 3
[tex]t_{1}=2*1-3 = 2-3=-1\\\\t_{2}=2*2-3=4-3=1\\\\t_{3}=2*3-3=6-3=3\\\\t_{4}=2*4-3=8-3=5\\\\S_{4}=t_{1}+t_{2}+t_{3}+t_{4}\\\\= -1 + 1 + 3 + 5 \\\\= 8[/tex]
d)
[tex]t_{n}=\frac{2n-1}{2n+1}\\\\\\t_{1}=\frac{2-1}{2+1}=\frac{1}{3}\\\\t_{2}=\frac{4-1}{4+1}=\frac{3}{5}\\\\t_{3}=\frac{6-1}{6+1}=\frac{5}{7}\\\\t_{4}=\frac{8-1}{8+1}=\frac{7}{9}\\\\[/tex]
[tex]S_{n}=\frac{n}{2}(a+l)\\\\S_{4}=\frac{4}{2}(\frac{1}{3}+\frac{7}{9})\\\\=2*(\frac{1*3}{3*3}+\frac{7}{9})\\\\=2*(\frac{3}{9}+\frac{7}{9})\\\\=2*\frac{10}{9}\\\\=\frac{20}{9}[/tex]
3.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 91x2 + 0.77
B. exponential; y = 91 • 0.77x
C. linear; y = 0.77x + 91
D. quadratic; y = 0.77x2 + 91
Answer:
B. exponential; y = 91 • 0.77x
Step-by-step explanation:
I just substituted the x on all of them and only one got the correct y which is B.
...............................................................................................................................................
The Answer is B.
y=91*0.77^x
...............................................................................................................................................
Answer:
B. exponential; y = 91 • 0.77x
Step-by-step explanation:
Just is
1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).
Answer:
1..
solution....
here given
25cm
1m=100cm
now,
25/100=1/4
1:4
2....
(a+4)(a-4)
a^2-4^2
a^2-16
Step-by-step explanation:
hope it will help you
Solve 3x^2+19x +6 please help
Answer:
(3x + 1)(x + 6)
3x^2 + 19x + 6
3x^2 + 18x + x + 6
3x^2 + 18x + x + 6
3x(x + 6) + x + 6
3x(x + 6) + x + 6
(3x + 1)(x + 6)
Haven't done this in a pretty long time so I might be wrong
How to solve an inequality for example 4x<24
2+9 +11+98+99999999999999999
Answer:
1.000000000000012e+16
Step-by-step explanation:
uh
Please help fast geometry !!
Answer:
1733.28
Step-by-step explanation:
we want to find the surface area of the cylinder
We are given:
diameter = 12in
height = 40in
formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)
in order to find the SA of a cylinder we need to know the radius
we are given that the diameter is 12
we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )
so r = 12/2 = 6
now to find the surface area,
we simply plug in the values of the radius and height into the SA of a cylinder formula
SA = 2πr^2 + 2πrh
r = 6
h = 40
( note it says use 3.14 for π )
substitute values
SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)
if you plug this into a calculator you get that the surface area is 1,733.28
SOMEONE HELP ME PLEASE
Answer:
so thats 2/6 or 1/3
Step-by-step explanation:
A die has 6 sides your odds of getting 2 or lesser are 1/3 or 33%
Can someone help with this please
Step-by-step explanation:
5.
[tex]3\cdot 10^{8} : 1000 = 3\cdot 10^{8} : 10^{3} =3 \cdot 10^{8-3} =3 \cdot 10^{5}[/tex]
Answer: [tex]3 \cdot 10^{5}[/tex]
6.
[tex]\dfrac{0.0046}{0.000000000513} =\dfrac{46 \cdot 10^{-4} }{5.13 \cdot 10^{-10} } =\dfrac{46 \cdot 10^{-4-(-10)}}{5.13} =\dfrac{46 \cdot 10^{6}}{5.13} \approx 9 \cdot 10^{6}[/tex]
Answer: [tex]9 \cdot 10^{6}[/tex]
Which numbers are solutions to the inequality
-3x-3 is less than or equal to 6? Check all of the boxes that apply.
0-5
0-4
00
O2
04
Step-by-step explanation:
-3x - 3 <= 6
-3x <= 9
x >= -3
your answer options are not clear to me.
so, please pick the one corresponding to all x >= -3.
for any value of x greater or equal to -3 that inequality is true.
The solution of inequality is,
⇒ x ≥ - 3
We have to given that,
An inequality to solve,
⇒ - 3x - 3 ≤ 6
Now, We can simplify the inequality as,
⇒ - 3x - 3 ≤ 6
Add 3 both side,
⇒ - 3x ≤ 6 + 3
⇒ - 3x ≤ 9
Divide by 3;
⇒ - x ≤ 9/3
⇒ - x ≤ 3
⇒ x ≥ - 3
Therefore, The solution of inequality is,
⇒ x ≥ - 3
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Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.
Answer:
0.999999
Step-by-step explanation:
Given that :
Probability of CD being defective, p = 0.1
q = 1 - p = 1 - 0.1 = 0.9
Total number of CD's = number of trials = 80
Probability, that no more than 35 CD's are defective ;
The question satisfied the requirements for a binomial probability problem ;
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Hence,
P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)
Using calculator to save computation time :
P(x ≤ 35) = 0.999999
