Answer: If order does not matter then we can use following formula to find different combinations of 6 numbers out of 46 numbers
Step-by-step explanation: Use following Combination formula
nCr = n! / r!(n-r)!
n=46
r=6
=46!/6!(46-6)!
=46!/[6!(40)!]
=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)
Cancel out 40!
=46*45*44*43*42*41/(6*5*4*3*2*1)
=6744109680/720
=9366819
Given the numbers 30 and 45, find the common factors of the two numbers.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
The common factors between the two numbers are 1, 3, 5, 15.
Hope this helps!
Alexa has saved
2/7
of the cost of her trip to the Caribbean. Estimate how much money she
has left to save.
A.3/4 of the cost
B.1/2 of the cost
C.1 1/4 of the cost
D.1/4 of the cost
Answer:
A 3/4
Step-by-step explanation:
Set up equation to find the percentage 2/7 equals:
Variable x = percentage
2/7 = x/100
Cross multiply:
2 × 100 = 7 × x
200 = 7x
Divide:
28.57142... = x
About 30% (I rounded to 30% because it is a nice number to use when all other numbers end in 5 or 0)
If Alexa has about 30% saved, she will need to save about 70% more. Find the solution that is closest to 70%.
A is 3/4 which comes out to 75%. So far, this sounds like the best answer. Let's check the others just in case.
B is 1/2, or 50% which isn't as close as A was to 70%.
C is 1 1/4 which means 125% needs to be saved. This would mean Alexa is in debt and hasn't saved any money which is not the case.
D is 1/4, or 25%. The trick here is that she's saved about 30% so 25% is closest, but we are looking for how much more she needs to save.
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true
Answer: brother
Step-by-step explanation:
F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.
The divergence of F is
div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z
div(F ) = 1 + 1 + 1
div(F ) = 3
The divergence of the vector field is equal to 3
Data;
(x+yz)i(y + xz)j(z+xy)kDivergence of Vector FieldTo find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.
[tex]div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3[/tex]
The divergence of the vector field is equal to 3
Learn more on divrgence of vector field here;
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What is the largest value of x for which the following equation has a real solution (x,y)?
Answer:
x = 9/2
Step-by-step explanation:
x^2+7x+y^2+4y=191/4
Complete the square: (x+7/2)^2-(49/4)+(y+2)^2-4 = 191/4
Simplify: (x+7/2)^2+(y+2)^2=191/4+49/4+4
(x+7/2)^2 + (y+2)^2 = 64
(x+7/2)^2 + (y+2)^2 = (8)^2
Center of circle -> (-7/2, -2)
Radius -> 8
-7/2 + 8 = 9/2
x = 9/2
The sum of 'n' terms of an arithmetic sequence is 4n2+3n. What is the first term, the common difference, and the sequence?
Answer:
Step-by-step explanation:
If the 2 is an exponent, it should be indicated with a circumflex: 4n^2+3n.
What is the first term?
a₁ = S₁ = 4·1² + 3·1 = 7
:::::
What is the common difference?
a₁ + a₂ = S₂ = 4·2² + 3·2 = 22
a₂ = 22-a₁ = 15
common difference d = a₂ - a₁ = 8
:::::
What is the arithmetic sequence?
The nth term is 7+(n-1)d = 7+(n-1)8 = 8n-1.
a₁ = 8·1-1 = 7
a₂ = 8·2-1 = 15
a₃ = 8·3-1 = 23
...
Find a least-squares solution of A by (a) constructing the normal equations for and (b) solving for . A , a. Construct the normal equations for . nothing nothing (Simplify your answers.) b. Solve for .
You are skiing down a mountain with a vertical height of 1250 feet. The distance that you ski as you go from the top down to the base of the mountain is 3350 feet. Find the angle of elevation from the base to the tep of the mountain. Round your answer to a whole number as necessary.
Step-by-step explanation:
here is the answer to your question
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Thanks In advance
Answer:
2x+2y=-18
2y=-2x-18
y=-x-9
hope that answers your questipn
dont hesitate to comment for more explanation about this topic.
Which type of triangle has altitudes that form outside the triangle itself?
Select one:
a. acute
b. equiangular
c. obtuse
d. right
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Answer:
c. obtuse
Step-by-step explanation:
For an obtuse triangle, the altitudes from the vertices on either side of the obtuse angle will be drawn outside the triangle.
-4x+3x+2x+x=17
x-4x+3x+2x=13
2x+x-4x+3x=9
3x+2x+x-4x=1
Answer:
x= 8,5
x=0
X= 2
x= -2
Step-by-step explanation:
Becca tried to evaluate the expression
45−(8×3+15
Answer:
Step-by-step explanation:
45 - (8 x 3 + 15)
45 - (24 + 15) ---> do parentheses first
45 - ( 39 )
45 - 39
6
The value of the expression Becca should get after simplification is 6.
Given is an expression 45 - (8 × 3 + 15), Becca is trying to solve the same,
To evaluate the expression 45 - (8 × 3 + 15), Becca should follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
First, calculate the value inside the parentheses: 8 × 3 + 15
= 24 + 15
= 39.
Now, substitute this value back into the original expression: 45 - 39.
Finally, perform the subtraction: 45 - 39 = 6.
So, the value of the expression is 6.
Learn more about expression click;
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#SPJ3
Write the equation of the line for a line that passes through (-2,-4) and (-1, -1).
Answer:
y = 3x+2
Step-by-step explanation:
First find the slope using the slope formula
m= (y2-y1)/(x2-x1)
= ( -1 - -4)/(-1 - -2)
= (-1 +4)/ (-1 +2)
= 3/1
= 3
The slope intercept formula is
y = mx+b where m is the slope and b is the y intercept
y = 3x+b
Using the point (-1,-1) and substituting into the equation
-1 = 3(-1)+b
-1 = -3+b
-1+3 = b
2 = b
y = 3x+2
PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)
–6
3
–59
26
Answer:
-6
Step-by-step explanation:
f(x) = -2x - 7 and g(x) = -4x + 6
Find f(-5)
f(-5) = -2(-5) -7 = 10-7 = 3
The find g(3)
g(3) = -4(3) +6
= -12 +6 =-6
g(f(-5)) = -6
A boat travels 400 kilometers in 9.6 hours (with a constant speed). How much time will it take to travel 138 kilometers? (round to the nearest tenth of an hour)
Step-by-step explanation:
here's the answer to your question
Solve the following equation for x. 12^2 - 36x = 0
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
$45.000
$53.000
The correct face value will be Option C ($20,000). A further solution id provided below.
Given:
Time,
t = 20 years
Rate,
r = 4.4%
Price
= $8,375
Now,
The yield will be:
= [tex]\frac{4.4}{2}[/tex]
= [tex]1.1[/tex] (%)
Time will be:
= [tex]20\times 2[/tex]
= [tex]40 \ periods[/tex]
As we know the formula,
⇒ [tex]Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}[/tex]
By substituting the values, we get
[tex]8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}[/tex]
[tex]8375=\frac{Face \ value}{(1.022)^{40}}[/tex]
[tex]8375=\frac{Face \ value}{2.3880083}[/tex]
The face value will be:
[tex]Face \ value = 2.3880083\times 8375[/tex]
[tex]=20,000[/tex] ($)
Learn more about face value here:
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What is the distance between the points
(-2,5) and (3,7).
Help
(Will make you the brainliest if answer “correctly”)
Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(3+2)^2+(7-5)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{5^2+2^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{25+4}[/tex]
[tex]\\ \sf\longmapsto \sqrt{29}[/tex]
[tex]\\ \sf\longmapsto 5.2[/tex]
[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Distance \: = \: \sqrt{(x_2 - x_1) \: + \: (y_2 - y_1)} }}}}}\end{gathered}[/tex]
[tex] \begin{cases}\large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ \bigg(3 - [ - 2] \bigg) \: + \: (7 - 5)}\\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ (3 + 2 ) \: + \: (7 - 5)} \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ {5} \: ^{2} + \: {2}^{2} } \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \: \sqrt{25 \: + \: 4} \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \: \ \sqrt{29} \\ \\\large\bf{\blue{ \implies}} \tt \: Distance \: = \: \:5.38 \: \: units \end{cases}[/tex]
Question
If a triangle has sides of length x x + 2, and x - 4, what is the perimeter of the triangle in terms of x?
О 3х - 6
03x - 2
3x + 2
O 3x + 6
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Answer:
(b) 3x -2
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = (x) +(x +2) +(x -4)
P = (x +x +x) +(+2 -4)
P = 3x -2
look at the image for the answer below?
Answer:
Does the answer help you?
Write a number in which the value of the 3 is ten times as great as the value of 3 in 135,864
Answer:
Step-by-step explanation:
the 3 in 135,864 is 30,000
if you mutiply that by 10 you get 300,000
you just need to write any number with a 3 in the hundred thousands place
What is the value of X? HELP
with no further informations, just go by looking at it.
it's 90°, all other options are too far off
If the two lines below are perpendicular and the slope of the red line is
what is the slope of the green line?
A. -2/5
B. 2/5
C. 5/2
D. -5/2
Answer:
B. 2/5
Step-by-step explanation:
Please Help I will give you a lot of points if you do!
Recall that a ⇒ b ⇔ ¬a ∨ b. So we can write
q ⇒ (p ∧ r ) ⇔ ¬q ∨ (p ∧ r )
Then the negation of this would be, for instance,
¬(¬q ∨ (p ∧ r )) ⇔ ¬(¬q) ∧ ¬(p ∧ r )
… ⇔ q ∧ (¬p ∨ ¬r )
… ⇔ (¬p ∧ q) ∨ (q ∧ ¬r )
… ⇔ ¬(p ∨ ¬q) ∨ (q ∧ ¬r )
… ⇔ (p ∨ ¬q) ⇒ (q ∧ ¬r )
It's impossible to tell what kind of statement your program is expecting, but since there are 5 slots available, my money would be on q ∧ (¬p ∨ ¬r ), so long as ¬p and ¬r are options.
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 6
O Ο Ο
B. 5
C. 9
D. 11
SUBMIT
PREVIOUS
Answer:
6 hours
Step-by-step explanation:
A: y=125+7x
B: y=110+10x
for A to be a better deal than B, 125+7x<110+10x has to be true
subtract 7x from both sides and subtract 110 from both sides of the inequality: 15<3xdivide by 3: 5<xso x has to be greater than 5, im pretty sure it's 6 hours but it might also be 5 depending on how it's taught for youAnswer:
B 5
Step-by-step explanation:
Company A
total cost = 125+7h where h is the number of hours
Company B
total cost = 110 + 10h where h is the number of hours
125 + 7h < 110 + 10h
Subtract 7 h from each side
125 + 7h-7h<110+10h-7h
125 < 110+3h
Subtract 110 from each side
125-110< 110+3h
15 <3h
Divide by 3
15/3 <3h/3
5 <h
More than 5 hours
true or false?
help me please
Answer:
False
Step-by-step explanation:
The point that is equidistant from the vertices of a triangle is called the circumcenter.
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Answer:
False
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.
_____
Additional comment
The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.
The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.
Please help please !!!!
Answer:
[tex]14<15[/tex]
[tex]0<2x+10<62[/tex]
[tex]-10<2x<52[/tex]
[tex]-5<x<26[/tex]
~OAmalOHopeO
constant of proportionality
Answer:
4.2
Step-by-step explanation:
Constant of proportionality = y/x = 8.4 / 2 = 4.2
WILL GIVE BRAINLIEST
Use the distributive property.
5(2x + 7) = [ ? ]x + [ ]
Answer:
10x +35
Step-by-step explanation:
5(2x+7) = 5*2x + 5*7 = 10x+35
Answer:
10, 35.
Step-by-step explanation:
5(2x + 7)
= 5^2x + 5*7
= 10x + 35
find the missing length indicated
Answer:
Step-by-step explanation:
192
Answer:
Step-by-step explanation:
