Answer:
[tex]m=27[/tex]
Step-by-step explanation:
When something is directly proportional, it means that: [tex]a=kb[/tex], where [tex]k[/tex] is some constant (number).
We are given that [tex]m[/tex] is directly proportional to [tex]n^2[/tex], and [tex]m=75[/tex] when [tex]n=5[/tex].
So, we have...
[tex]a=kb[/tex]
[tex]m=kn^2[/tex]
[tex]75=k(5)^2[/tex]
[tex]75=25k[/tex]
[tex]k=3[/tex]
So the full equation is:
[tex]m=3n^2[/tex]
Now, to find the answer when [tex]n=3[/tex], simply put 3 into the equation.
Which gives:
[tex]m=3(3)^2[/tex] [tex]m=9(3)[/tex] [tex]m=27[/tex]
Final answer: m=27.
How many times can 13 go into 22
Answer:
1 time.
Step-by-step explanation:
1 time.
13 x 1 =13.
13 x 2 = 26.
22<26.
Therefore, 1 time.
Answer:
yes the answer above me is correct
Step-by-step explanation:
only one time
because it has no multipule with 22
Which graph represents the function r(x) = |x – 2| – 1
Answer:
picture?
Step-by-step explanation:
Answer:
Which graph represents the function r(x) = |x – 2| – 1
- The first graph
Step-by-step explanation:
Which table represents a linear function that has a slope of 5 and a y-intercept of 20? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Answer:
A
Step-by-step explanation:
Answer:
A should be the correct answer.
Step-by-step explanation:
Hope this helps
25 POINTS!!!!! add. express your answer as a fraction. Do not include spaces in your answer 5 1/4+ 15.5
Answer:
The answer is 83/4
Step-by-step explanation:
5 1/4+15.5
21/4+15.5
Taking LCM
21/4+15.5*4/1*4
21/4+62/4
83/4
Answer:
[tex]20\frac{3}{4}[/tex]
Step-by-step explanation:
=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]
=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]
=> [tex]\frac{21+62}{4}[/tex]
=> [tex]\frac{83}{4}[/tex]
=> [tex]20\frac{3}{4}[/tex]
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
How many units long is a segment whose endpoints are (2,3) and (7,15)?
Answer:
13 units
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Simply plug in your variables
[tex]d = \sqrt{(7-2)^2 + (15-3)^2}[/tex]
[tex]d = \sqrt{5^2 + 12^2}[/tex]
[tex]d = \sqrt{25 + 144}[/tex]
[tex]d = \sqrt{169}[/tex]
d = 13
To make a batch of four dozen cookies, Denis needs 1 3/4 cups of four, 1 cup of sugar, and 1/3 cup of milk. Calculate the amount of each ingredient that Denis needs to make 12 dozen cookies
Answer:
Flour = 5 1/4 Cups
Sugar = 3 Cups
Milk = 1 Cup
Step-by-step explanation:
4 Dozens = Respectively 1 3/4, 1, and 1/3 Cups -->
4(3) = 12 Dozens --> Otherwise A Gross
--> Multiply the formula by 3
7/4 x 3 = 21/4
1 x 3 = 3
1/3 x 3 = 1
Convert to a mixed number
Thus You have your answers
Hope this helps!
Simplify
Please thanks
Answer: - 6xy/23xy
Step-by-step explanation:
They're both simplified by 11.
Do negative numbers have positive square roots?
Answer: yes
Step-by-step explanation:
Answer: not exactly
Step-by-step explanation:
If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:
[tex]\sqrt{-1}[/tex] = i
So something like [tex]\sqrt{-4}[/tex] can be simplified like:
[tex]\sqrt{4}[/tex] * [tex]\sqrt{-1}[/tex]
2 * i
2i
But if you're talking about squares like exponent wise, then yes
something like [tex](-2)^{2}[/tex] will always be positive, but you have to be careful with the parentheses.
There is a difference btw [tex](-2)^{2}[/tex] and[tex]-2^{2}[/tex]
[tex](-2)^{2}[/tex] = 4 because you are multiplying (-2)(-2)
but
[tex]-2^{2}[/tex] = -4 because you are multiplying -(2)(2)
Which situation is best modeled by the equation 11 + x=28
Answer:
1
Step-by-step explanation:
First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28
Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.
The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28
Answer:
The first choice
Step-by-step explanation:
PLEAE ANS IT FAST PLESE
Answer:
[tex] \frac{2}{ {x - 1}^{2} } - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{2}{x + 1} = 0[/tex]
[tex] \frac{2 - 2(x - 1)}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{2 - 2x + 2}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{4 - 2x}{(x + 1)(x - 1)} = 0[/tex]
[tex]4 - 2x = 0(x + 1)(x - 1)[/tex]
[tex]4 - 2x = 0[/tex]
[tex] - 2x = - 4[/tex]
[tex]x = \frac{ - 4}{ - 2} [/tex]
[tex]x = 2[/tex]
Answer:2
Step-by-step explanation: i willn ot provide step by step cuz its a waste of my time becasue it is easer to just give the anwser althou i know it will not help you learn but it faster lets not lie we all just using this to anwser test/quiz questions
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
Question is in the pic
Answer:
Brainliest!
Step-by-step explanation:
took 5 minutes to drain at a rate of 300 gallons per minute
this means there were 1500 gallons that need to be drained
it is now draining at a speed of 500 gallons per minute
1500/500 = 3
so its 3 minutes
1. A population of lab rats is going to be increased by 3 rats a month. If it costs $3.50 to
care for each rat a month and there were 2 rats to begin with in the lab. (Assume all
rats survive lab work)
a. Create a formula that would represent the population of lab rats in month n.
b. How much will the lab be paying for the rats after 10 months?
C. After how many years will the lab rats population reach 326?
Answer:
a. p(n) = 3n -1
b. $101.50
c. 9 years
Step-by-step explanation:
a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:
for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.
The usual formula for the n-th term of an arithmetic sequence applies:
a[n] = a[1] +d(n -1)
a[n] = 2 +3(n -1) = 3n -1
In month n, the population of lab rats is ...
p(n) = 3n -1
__
b. After 10 months, the population will be ...
p(10) = 3·10 -1 = 29
At $3.50 per rat, the cost will be ...
29 · $3.50 = $101.50
__
c. We want to find for p(n) = 326.
326 = 3n -1
327 = 3n
109 = n
Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.
[tex]\sqrt{-16} -\sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4} +3i-3i^{2} +3i^3[/tex]
Answer:
4(i-1)Step-by-step explanation:
Given the expression [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]
On simplifying;
First we need to note that i² = -1 and √-1 = i
Substituting the values in the expression, it becomes;
= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)
= 4i-√9-√16+3i+3-3i
= 4i-3-4+3
= 4i-4
= 4(i-1)
20 boys are trying out for 10 spots on the basketball team. if you wanted to determine how many different groups of 10 boys can be created, would you use a permutation or combination?
Answer:
Combination would be the best choice here because they are in groups of 10 different.
Someone please please help me it’s Algebra
Answer:
A shift to the right 8 units
Step-by-step explanation:
Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.
Please help.! Which of the following show an element of the sample space for first shooting a basketball and then rolling a die? (X = Make, O = Miss)
Check all that apply.
O A. X1
O B. 06
O C. 2x
O D. X6
O E. X7
O F. XH
Answer:
A, B, and D
Step-by-step explanation:
E is discarded, since the number 7 does not exist on a die.
F is discarded because there are no letters in a die
C is discarded because the elements are placed backwards
Answer:A
Step-by-step explanation:
I. Work out the following Questions clearly and neatly
1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and the
altitude is 12cm, then find
the length of CD
b. the perimeter of the trapezium
the area of the trapezium
2. In a rectangular prism where length, width and height respectively
are 7cm, 5cm and 10cm. Then calculate the following
a perimeter of the upper base.
b. the sum of the perimeters of the bases.
c. the area of the lower base.
d. the sum of the areas of the bases.
e. the area of one of the larger lateral faces.
f. the area of one of the smaller lateral faces.
g. the areas of the lateral faces(AL).
h. the total surface areas of the prism(AT).
i. the volume of the prism.
If a regular polygon has ten sides, then find
number of diagonals formed from one vertex.
b. number of triangles formed.
C. number of diagonals formed from each vertex.
d. sum of all interior angles.
e. what is the name of the polygon.
Answer:
the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school
find the value of y in the given ratio 9y=3:5
Answer:
y=15
Step-by-step explanation:
im guessing you meant 9:y = 3:5
(9*5)/y = 15
5.
Statements
Reasons
Given
AC bisects ZBCD
8
DC I AD
Given
Given:
ВСІ АВ
Given
AC bisects ZBCD
DC 1 AD
BC 1 AB
Right angles are:
Prove:
AC = AC
BC=DC
I
Answer:
Step-by-step explanation:
Given: AC is a bisector of ∠BCD
DC ⊥ AD
BC ⊥ AB
To prove : BC ≅ Dc
Statements Reasons
1). AC bisects ∠BCD 1). Given
2)∠ACB ≅ ∠ACD 2). AC is a bisector of ∠BCD
3). DC ⊥ AD 3). Given
4). m∠ADC = 90° 4). DC is perpendicular to AD
5). BC ⊥ AB 5). Given
6). m∠ABC = 90° 6). BC is perpendicular to AB
7). ∠ABC ≅ ∠ADC 7). Right angles are congruent
8). AC ≅ AC 8). Reflexive property
9). ΔABC ≅ ΔADC 9). AL property of congruence
10). BC ≅ DC 10). CPCTC
What is the solutions of x2 = –5x + 8?
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
What is the Greatest Common Factor of x6 and x4? (1 point) x x4 x6 x10
Answer: The greatest common factor of two numbers can be determined by laying the factors first of the two numbers each and then identifying which is the largest number ..soo it should be B. x4
Step-by-step explanation:
Answer:
Option B: x^4
Step-by-step explanation:
Help help help please urgent ❤️
Answer:
5565
Step-by-step explanation:
5565
intuitively i think its 5565 ;)
Solve application using algebra. Write your equation or inequality and show your solving steps. The sum of 3 consecutive integers is 147. Find the 3 integers.
Answer:
Integers are 48, 49, 50
Step-by-step explanation:
x+(x+1)+(x+2) = 147
3x + 3 = 147
3x = 147-3
x = 144 / 3 = 48
Which is the best estimate for the percentage of the attendance at Yamabushi Club being women? HHHHHHHHHEEEEEEEEEEEEEELLLLLLLLLPPPPPPPPP
Answer: D
Step-by-step explanation:
The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).
why are parallel lines considered to be parallel ? explain
Answer:It is what it is
Step-by-step explanation:
Answer:
Parallel lines do not intersect.
Parallel lines are like an equal sign
========================
They go Straight across
While perpendicular lines intersect.
A lot of squares are parallelograms, they only have parallel lines.
Hope this helps
~ヾ(・ω・)
Given:
AC – AR
<1 = <2
Prove:
<3 =<4
Answer:
Proved: <3 =<4
Step-by-step explanation:
Alternate angles are equal
<1 = <4
<2 = <3
AC ≅ AR (Given)
Where ≅ means congruent to
When two straight lines intersect, the Vertical angles have opposite sides that are equal.
<CAR ≅ <TAD
<CAT ≅ <RAD
From the above
∆CAR is congruent to ∆TAD
This is a side angle side theorem
∆CAT is congruent to ∆RAD
This is a side angle side theorem
The side angle side theorem shows that two sides and an included angle of one triangle are equal to two sides and an included angle of another triangle.
Since corresponding parts of congruent angles are equal, <3 is congruent to <4.
<3 ≅ <4
What is the midpoint of the segment shown below ?
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
Work out the area of the shape after it has been enlarged by scale factor 2.
State the units of your answer
Answer:
The area of the now-enlarged shape quadruples. The units are the same; square units.
Step-by-step explanation:
The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.
When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).
Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.
For example, if the shape was a rectangle.
A = L × B
When enlarged, new L = 2L, new B = 2B
new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.
A circle
A = πr²
When enlarged, new R = 2r
new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.
Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.
Hope this Helps!!!