10m + n^2/4
m = 5
n = 4
We can now substitute numbers in for the variables.
10(5) + (4)^2/4
50 + 4^2/4
50 + (4 * 4)/4
50 + 16/4
50 + 4
= 54
Answer:
Its 54 guys explanation in COMMENTS
Heres rule for 2nd term
x^n/x^(n-1) = x
can somebody explain an easier way to do it
Answer:
4 to 1
Step-by-step explanation:
For herself alone, she uses a ratio of
8 tablespoons of cocoa to 2 tablespoons of sugar
The ratio is
8 to 2
We divide both numbers by 2 to get the simplified ratio
4 to 1
For two, she doubles the recipe, so she uses the ratio
16 tablespoons of cocoa to 4 tablespoons of sugar
The ratio is
16 to 4
We divide both numbers by 4 to get the simplified ratio
4 to 1
The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?
Answer:
D
Step-by-step explanation:
we can set up the equation as 15x = 15x^2
factoring we get
15x(x-1) = 0
So the solutions are when x are 0 and 1
this gives the coordinates
(0,0) and (1,15)
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?
The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Inductive reasoning is when someone uses lots of data to make a conjecture
A. True
B. False
Please answer this I need help now
The answer to that question is true.
We have given that,
Inductive reasoning is when someone uses lots of data to make a conjecture.
What is the Inductive?Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.
We have to determine whether the statement is true or false.
The answer to that question is true.
To learn more about the inductive visit:
https://brainly.com/question/860494
#SPJ2
Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..
Answer:
Step-by-step explanation:
5+14 is 19
19+23 is 4242
I need help with congruence and similarity problem. ( picture below)
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answer: Option D.
Step-by-step explanation:
Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)
So out of 15 sets, 7 of them have at least one 3-point in them.
the experimental probability is p = 7/15.
So the correct option is D.
Which graph represents the function g(x) = |x + 4| + 2?
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 2).
On a coordinate plane, an absolute value graph has a vertex at (negative 2, 4).
On a coordinate plane, an absolute value graph has a vertex at (4, 2).
On a coordinate plane, an absolute value graph has a vertex at (2, 4).
Answer:
The following graph represents the function g(x)=|x+4| +2
1) On a coordinate plane, an absolute value graph has a vertex at (-4,2)
Step-by-step explanation:
A vertex can bed defined as a point where two lines meet. In a graph, a vertex can also be interpreted as the point where the direction of the line or curve change
The function is given by:
[tex]g(x)=|x+4|+2[/tex]
which is an absolute value function. We need to find the vertex of the graph.
The graph drawn is attached below.
We can see in the graph that at x = -4 and y = 2 , a point is formed where the straight line changes its direction.
So the vertex is formed at (-4,2)
Answer:
A. (-4,2)
Step-by-step explanation:
7. Bud and his friends stopped at a local fast food restaurant after the football game Friday night. Bud ate a one-fourth pound cheeseburger and a large order of fries. The cheese
30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64 grams, what percent of the daily allowance did Bud have when he ate the cheeseburger
Answer:
46.875 %
Step-by-step explanation:
30 grams of fat out of 64 grams
30/64 =.46875
Change to percent form
46.875 %
Answer:46.875
Step-by-step explanation:
identify the parts of the expression then write a word expression for the numerical or algebraic expression.
Please explain and only answer if you are completly sure about your answer.
Due in 20 minutes!!!!
Answer:
the answer is-
Step-by-step explanation:
b added to 12 times x.
the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc
Blake used b blocks to build a bridge. Bridget used 6 more than 3 times as many blocks as Blake did to build a bridge. Which expression represents how many blocks Bridget used?
A) b+(3x6)
B) b+3+6
C) 3(b+6)
D) 3b+6
Answer:
c
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Three times is 3 x b + 6
Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
11 grams of drink mix per ounce of water
Step-by-step explanation:
I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.
Answer:
11 gm mix : 1 ounce water
Step-by-step explanation:
We find 1/7 of 19.75gm = 2.75
Then we multiply by 4 = 11
We have found our ounce rate to be 11 gm : 1 ounce water
question in attachment
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided
Answer:
A) g(x)= -(x-6)^2
Step-by-step explanation:
The graph is of a parabola, so there must be a ^2
If you plug the equation into the graphing calculator it will graph it for you.
Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13
Answer:
[tex]3y - 2x = 13[/tex]
Step-by-step explanation:
Given
Points (-14,-5) and (4,7)
Required
Find its linear equation in a standard form
To find the linear form, we start by calculating the slope of the line
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]
[tex]m = \frac{7 + 5}{4 + 14}[/tex]
[tex]m = \frac{12}{18}[/tex]
Simplify fraction to lowest term
[tex]m = \frac{6*2}{6*3}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]
We have
[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]
[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]
Multiply both sides by 3
[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{3(y+5)}{x+14}[/tex]
Multiply both sides by x + 14
[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]
[tex]2 * (x + 14) = 3(y+5)[/tex]
Open brackets
[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]
[tex]2x + 28 = 3y+ 15[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]
[tex]28 = 3y+ 15 - 2x[/tex]
Subtract 15 from both sides
[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]
[tex]28 - 15 = 3y - 2x + 15- 15[/tex]
[tex]13 = 3y - 2x[/tex]
Reorder
[tex]3y - 2x = 13[/tex]
Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]
algebra 2! what’s the answer to this? will give you all my points.
Answer:
Step-by-step explanation:
this is a radical equation:
when x=1 y=0
reflected about x
-sqrt(x)
right 1 unit
-sqrt(x-1)
it looks like y-int is about (0,1/3)
vertically compressed by a factor of 1/3
-(1/3)sqrt(x-1)
if you think the y-int is more (0,1/4), then
the function is vertically compressed by a factor of 1/4
-0.25sqrt(x-1)
What is the probability that a single card chosen from a complete deck of cards is not an ace or a King? ( with explanation )
Answer:
84.6%
Step-by-step explanation:
There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck
therefore
52-8 =44, 44 cards that are not kings or aces
therefore the probability is
44/52 = 0.846153846*100 = 84.615%
There the chances are 44/52 or 84.6%
Answer:
11/13 or 84.62%
Step-by-step explanation:
There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:
52 - 8 = 44
Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.
Hope this helps! Please feel free to ask me any questions :)
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x=36
Step-by-step explanation:
3x+2x=180 (because they're supplementary angles)
5x=180
x=36
which is equal to 500?
The right answer is 10√5..
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
2nd one
Step-by-step explanation:
If you look at all the factors the highest pair with a square root is 5•100
The square root of 100 is 10
And then the square root of 5 is left
=)))))))))))))))))))))))))
Answer:
c
Step-by-step explanation:
-10x is less than or equal to 40
x is greater than or equal to -4
flip the signs when you divide by a negative #
Please answer this ASAP!!
Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Step-by-step explanation:
Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.
From the given figure of trapezium, we have
a = 10 m
b = 16 m
h = 7.6 m
Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]
Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].
Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]
[tex]= 52[/tex] litres
Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]
then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]
Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]
Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Solve for x:
11(x+2)+3(x+4)=34
Answer:
x=0
Step-by-step explanation:
first remove parentheses 11x + 22 + 3x +12 =34
then cancel equal terms 14x + 34 = 34
divide both sides by 14 14x = 0
solution x = 0
Determine the value of x in the figure. answers: A) x = 9 B) x = 6 C) x = 4.5 D) x = 3
Answer:
D
Step-by-step explanation:
The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:
7x+9=x+27
6x+9=27
6x=18
x=3
Therefore, the correct answer is choice D. Hope this helps!
Answer:
x=3
Step-by-step explanation:
The sides are the same length
x+27 = 7x+9
Subtract x from each side
x+27-x = 7x-x+9
27 = 6x+9
Subtract 9 from each side
27-9 = 6x
18 = 6x
Divide by 6
18/6 = 6x/6
3 =x
i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?
Answer:
1. The capacity of the water tank = 240 litres
2. So it will take 180 litres to fill it three quarters full.
Step-by-step explanation:
Dimensions of a water tank:
1 Meter=100 CM
Length (l) = 100 cm,
wide (w) = 40 cm,
Depth (h)= 60 cm,
Volume of the tank (V)
LWH
100 cm × 40 cm × 60 cm
240,000 cm³
The capacity of the water tank = 240,000 cm³ / 240 litres
(240,000*3)/4 = 180,000 cm3
So it will take 180 litres to fill it three quarters full.
Which transformation does not match blue figure to the red flag
Answer:
the second one trust me
Step-by-step explanation:
Can someone help me with these 2 questions?
Answer:
3: x = 3 4: y = 8
Step-by-step explanation:
Problem 3:
Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.
Problem 4:
Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).
Hope this helped!
how to find an unknown angle in a quadrilateral
You are making bracelets to sell. Each bracelet has two different colors of
beads. You have blue, silver, black, and purple beads. Which of these
strategies would you be most likely to use in planning the different bracelets
you can sell?
A. Find a pattern.
B. Guess and check.
C. Work backward.
D. Make a list.
Answer:
D. Make a list
Step-by-step explanation:
Answer:
D. Make a list
Step-by-step explanation:
You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.
The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)
Answer:
The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.
Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
[tex]Circumference = d\pi[/tex]
We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.
7 * 2 = 14
Now, let's plug in 14 into our formula. We will 3.14 for pi.
[tex]Circumference=(14)\pi[/tex]
[tex]Circumference=43.96[/tex]
This number rounded to the nearest tenth is 44.
Answer:
Answer is 44 m
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
I will give brainiest answer
Answer:
≈ 64.43 cm²
Step-by-step explanation:
Subtract the area of the circle from the area of the rectangle.
area of rectangle = 7 × 11 = 77 cm²
area of circle = πr² = π × 2² = 4π cm²
Thus
area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )
Answer:
The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.
Step-by-step explanation: