Answer:
Your answer is 8
Step-by-step explanation:
You can just count the cubes or multiply 2 by 4
Please show steps and show restrictions
[tex]\dfrac{x^2+7x+12}{x^2-x-12}\\\\=\dfrac{x^2 +3x+4x +12}{x^2 -4x+3x-12}\\\\=\dfrac{x(x+3)+4(x+3)}{x(x-4)+3(x-4)}\\\\=\dfrac{(x+4)(x+3)}{(x-4)(x+3)}\\\\=\dfrac{x+4}{x-4}\\\\\text{Restrictions:}~ x\neq 4 ,~ x\neq -3[/tex]
prove that it is congruent
Answer:
The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP
The triangles share one side PS
The figure also states that m∠QPS = m∠RPS
Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.
Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =
Answer:
f(x)= (x-3)^2-3
Step-by-step explanation:
Vertex Form: y= a(x-h)^2+k
a is the reflection
h and k are the vertex so in an ordered pair (x,y) = (h,k)
Since it is translating 3 units down it is going to be a negative 3. If it was translating up it would be positive 3. This represents the "k" because it is moving on the y-axis.
Since it is translating 3 units to the right it is going to be positive 3. If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.
After plugging it into the vertex form formula: f(x)= (x-3)^2-3
*notice when I plugged the "h" in it became negative because x-(3)= x-3*
PLEASE HELP! CALCULUS
Answer:
[tex] 55 < A < \frac{149}{2} [/tex]
Step-by-step explanation:
Given:
Function g(x) = 2x²-x-1, [2,5],
N = 6 rectangles
To find:
Two approximation (Left endpoint and Right endpoint of the area) of the area.
Solution:
Using Right endpoint approximation,
[tex]\Delta x = \frac{b - a}{N} \\ \Delta x = \frac{5 - 2}{6} \\ \Delta x = \frac{3}{6} = \frac{1}{2}[/tex]
Now,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x)[/tex]
Where i = 1,2,3,4......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + i \cdot \frac{1}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + \frac{i}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg( f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + f( 5) \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(2 \times { (\frac{5}{2} )}^{2} - \frac{5}{2} - 1 ....... +2 \times { ({5} )}^{2} - {5}- 1 \bigg) [/tex]
After solving each function,
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(9 + 14 +20 + 27 + 35 + 44\bigg) \\ \displaystyle\sf \: R_n \: = \frac{149}{2} [/tex]
Similarly for left endpoint approximation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N - 1} f(a + i \Delta x)[/tex]
Where i = 0,1,2,3......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N } f(a + i \Delta x) \\ \displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^{N } f(2 + i \frac{1}{2} ) \\\displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(f( 2) + f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(5+ 9 + 14 +20 + 27 + 35 \bigg) \\ \displaystyle\sf \: L_n \: = \frac{110}{2} = 55 \\ [/tex]
Right approximation 149/2
Left approximation 55
Hence the Area is bounded in,
[tex] 55 < A < \frac{149}{2} [/tex]
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The adults and children in a neighborhood attended a party. There were 18 children.
There were w fewer children than adults. How many people were there at the party?
There was a total of w + 36 people at the party.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, The adults and children in a neighborhood attended a party. There were 18 children.
Let "x" be the number of Persons in the party
Since,
There were w fewer children than adults.
thus,
Number of Adults in the party = w + 18
x = w + 18
Total number of people at party = x + 18
Total number of people at party = w + 18 + 18
Total number of people at party = w + 36
Therefore, there were w + 36 people at the party.
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Find, to the nearest tenth, the area of a triangle ABC if angle B = 35o, a = 12 m and c = 17m.
Answer:
Area of triangle = 1/2 of base × height
Area of triangle = 1/12 of 12×17
Area of triangle = 102m²
Find the slope of the line that passes through (56, 49) and (-18, 35).
Answer:
[tex]\displaystyle \frac{7}{37}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}[/tex]
I am joyous to assist you at any time.
[tex]x^{2} -36\frax+5/(x+6)[/tex]
the answer is
x^{2}-31x+5b
Find the average of this set of numbers.1, 9, 11, 13, 26
A) 12
B) 13
C) 14
D) none of the above
[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}[/tex]
[tex]\longrightarrow[/tex]Here, no of observation are 5
Now,
[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{1+9+11+13+26}{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{60}{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Average = 12 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]The Average of given set of numbers is 12 .
[tex]\therefore\: [/tex] Option A) is correct ✔️
Ben is going on a 380-mile trip. If he drives for 2 hours at an average speed of 50 miles per hour, how many miles will he still have left to go on on his trip?
Answer:
19000
Step-by-step explanation:
1 hour = 50 miles
2 hour = 100 miles
50×380 = 19000
multiply (−3/4b^2)(−6a^2b^5)
Step-by-step explanation:
(−3/4b^2)(−6a^2b^5)
= 9 a²b³
Solve the following quadratic equations by any method. The solutions are:
f (x) = x 2 − 12x + 32
a.
(X - 4)(X - 8) this means that X = 4 and -8
b.
(X - 4)(X - 8) this means that X = -4 and -8
c.
(X - 4)(X - 8) this means that X = +4 and +8
d.
(X - 4)(X - 8) this means that X = -4 and +8
Answer:
Option C .
Step-by-step explanation:
We would like to solve the below quadratic equation ,
[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]
Step 1 : Equate f(x) with 0 :-
[tex]\longrightarrow f(x) = 0\\[/tex]
[tex]\longrightarrow x^2-12x + 32=0[/tex]
Step 2 : Factorise the RHS :-
[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]
[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]
[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]
Step 3 : Equate each factor with 0 :-
[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]
[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]
Hence option C is correct .
BCD and EFG are shown below. Which of the following statements is true? Look at picture.
Answer:
(b) ∠EGF ≅ ∠BDC
Step-by-step explanation:
Angles D and G are both marked with double arcs, indicating they are congruent:
∠EGF ≅ ∠BDC
__
Other choices:
BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.
__
CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.
Answer:
I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.
What is 65% of (102/2)
Answer:
33.15
Step-by-step explanation:
102/2 = 51
65% of 51 = 33.15
Answer:
65% of (102/2) is 33.15
Step-by-step explanation:
I used a calculator and got this answer, it is correct. Have a nice day :)
You walk along the edge of a park.
Then you take a shortcut,
represented by PQ on the graph.
What is the length of the shortcut in
meters? Round your answer to the
nearest whole meter, if necessary.
The distance between the two points is 93.9 units
How to calculate the distance between two pointsThe formula for calculating the distance between two points is expressed as:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:
[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]
Hence the distance between the two points is 93.9 units
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Answer:89.4
Step-by-step explanation:
please help will mark BRAINLIEST
Answer:
d = 3h - 6
Step-by-step explanation:
Given formula:
[tex]h=\dfrac{d}{3}+2[/tex]
Subtract 2 from both sides:
[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]
[tex]\implies h-2=\dfrac{d}{3}[/tex]
Multiply both sides by 3:
[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]
[tex]\implies 3(h-2)=d[/tex]
Apply the distributive law [tex]a(b-c)=ab-ac[/tex]
[tex]\implies 3h-6=d[/tex]
[tex]\implies d=3h-6[/tex]
Answer:
[tex]d=3h-6[/tex]
Step-by-step explanation:
[tex]h=\frac{d}{3}+2[/tex]
[tex]h-2=\frac{d}{3}+2[/tex]
-[tex]2[/tex]
[tex]h-2=\frac{d}{3}[/tex]
[tex](h-2)*3=\frac{d}{3}*3[/tex]
[tex]3(h-2)=d[/tex]
[tex]3h-6=d[/tex]
[tex]d=3h-6[/tex]
-{ModPatrol}
The dimensions of triangle A are three times the dimensions of triangle B. The area of triangle B is 28 cm What is the area of triangle A?
Answer:
Below in bold.
Step-by-step explanation:
The ratio of theire areas is 1^2 : 3^2
= 1:9.
So the area of triangle A = 28 * 9
= 252 cm^2.
Answer:
[tex]252cm {}^{2} [/tex]
step by step explanation:
[tex]since \: \: dimension \: of \: traiangle \: a \: = 3 times \: dimension \: of \: triangle \: b \\ note \: that \: area \: is \: square \: of \: dimension \: \\ therefore \: area \: of \: triangle \: a \: = 3 {}^{2} \: area \: of \: triale \: \: b \\ area \: of \: trianle \: a = 9 \times 28 = 252cm {}^{2} [/tex]
April is 19, Bryan is 20, Carla is 20, and Dave is 21, how old is Erica is the average of their given ages is 23?
Answer: 35
Step-by-step explanation:
The average can be found by adding their ages together and dividing by the number of ages.
Given:
[tex]\frac{19+20+20+21+x}{5}[/tex] = 23
Multiply both sides of the equation by 5:
19 + 20 + 20 + 21 + x = 115
Combine like terms:
80 + x = 115
Subtract 80 from both sides of the equation:
x = 35
Erica is 35.
Help help her help help
Answer:
x = 12
Step-by-step explanation:
1. Subtract 9 from both sides:
x/6 = 2
2. Multiply both sides by 6:
x = 12
Answer:
9 + x/6 = 11
Always get rid of the constants first,
-9 -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)
x/6 = 2
Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)
*6 *6
x = 12
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
st 3 digit prime number, what will be the digit in units place?
Answer:
5
Step-by-step explanation:
If x is the middle number of the 5 consecutive odd numbers, their product is ...
x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x
The first 3-digit prime is 101, so the product of that with this is ...
101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x
Since we're only interested in the units digit, we can find the mod 10 value of this to be ...
(x⁵ +4x) mod 10
Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...
x(x⁴ +4) = 1(1⁴ +4) = 5
3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10
5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10
7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10
9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10
In every case, the units digit of 101z will be 5.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
54
Step-by-step explanation:
Multiply:
37x37=72
Subtract:
180-72=108
Divide:
108/2=54
Answer:
143 degrees
Step-by-step explanation:
37(2) + 2x = 360
74 + 2x = 360
2x = 286
x = 143
Hope this helps :)
The volume of a rectangular prism is
3,000 cm?. If the width of the prism is 10 cm
and the height is 15 cm, what is the length
of the prism in centimeters?
Answer:
To find the volume of a rectangular prism, multiply the length, width, and height. The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm3, mm3, in3, m3, etc.
Step-by-step explanation:
hope it helps
insurance that pays for damages to houses or businesses is called
Answer:
Homeowners insurance
Step-by-step explanation:
Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.
Preston measured the button on his shirt. Then he calculated that it has an area of 50.24 square millimeters. What is the button's diameter?
Jayla just measured her pet snake and found out that it is 3.8 inches long, which is 52% longer than the last time Jayla measured. How long was the pet snake last time?
help need help fast !!!!!!!!!!
Answer:
Step by step explanation:
Is the table a linear or exponential function?
Answer:
exponential
Step-by-step explanation:
there is a multiplier of 8 between each number
Help help help help math math
Answer:
8 i think im not really sure
Step-by-step explanation:
A deck of cards contains
52 cards. two decks
are put together, how
many cards will be left
over if 7 people divide
them evenly?
Answer:
6
Step-by-step explanation:
52+52=104
104/7=14.8
7*14=98
104-98=6
A 40-kilogram bag of seed is spread evenly about the entire yard. How much, in kilograms, of the seed will NOT be watered? Use: Percentage = watered squares / Total # of Square X 100
The computation of the percentage shows that the kilograms of seed that won't be watered is 12 kilograms.
How to calculate the percentage?Your information is incomplete. Therefore an overview will be given. Let's assume that the watered squares are 35 while the total squares are 50.
Then, the percentage of the watered squares will be:
= 35/50 × 100
= 70%
Therefore, the percentage of the unwatered squares will be:
= 100% - 70%
= 30%
Then, the kilograms of the seed that won't be watered will be:
= Percentage of unwatered seed × Entire kilograms of seed
= 30% × 40kg
= 12kg
In conclusion, the seed that won't be watered is 12 kg.
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