Answer:
k^2+25
Step-by-step explanation:
Factor k^2+25
=k^2+25
Doesn't factor
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
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
Please help as soon as possible
Answer:
possibly (9, 9) (9, 5) (5, 9)
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.
-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.
Answer:
-2.3, 8.6 to the nearest tenth.
Step-by-step explanation:
-16t^2+100t+316=0
Simplify it first.
Divide by -4:
4t^2 - 25t - 79 = 0
Using the quadratic formula:
x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8
= (25 +/- √(1889)) / 8
= 3.125 +/- 43.463/8
= 3.125 +/- 5.433
= -2.308, 8.558
Answer:
quadratic formula normally normally applies in such cases
c) Brett buys 120 chocolate bars for £60 He sells them all, making a 50% profit to give to charity. He sells each bar for the same price. How much does he sell each bar for?
Answer:
I believe he sells each bar for .75 cents
At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?
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]
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:
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.
How does Algebra act as a tool to improve communication
It is a tool as it represents the language of patterns.
It is also a means of working with abstract notions and then applying them, which frequently leads to the formation of generalisations and insights outside of the original context.
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
Amanda and her best fiend found some money buried in a field. thay split the money evenly, each getting $24.28. how much money did thay find?
Answer:
48.56
Step-by-step explanation:
We have to multiply 24.28x2 because there are 2 people so if we multiply it we will get the answer 48.56.
What the value of q?
Step-by-step explanation:
again ?
out of the total of 70°, 30° are taken by the first angle.
so, that leaves 70 - 30 = 40° for the second angle.
q = 40°
is there still something unclear about this ? please let me know.
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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A European swallow flies about 14 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly
km.
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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Question: The time is 1 o'clock. What are the next two times at which the hour and minute hands will be perpendicular?
The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.
When will the hands be perpendicular?The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.
Each hour that the hour hand moves, there is an angle of 30°.
The first time that we will have an angle of 90° between the hands is at:
1:20
Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.
The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.
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Select all the shapes that are cross sections of a cylinder.
A line
B oval
C triangle
D rectangle
E circle
Step-by-step explanation:
only the circle
as cylinder is neither oval nor triangle not a rectangle..
so cylinder has circle as the cross section
Answer:
This is for a different question but hope this helps too!
Step-by-step explanation:
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
Two boys, Brady and Quinn, are running a 100 meter race. In the race, Brady beats Quinn by 5 meters.
They decide to race again. To make things fair, in the second race, Brady stands 5 meters behind the
starting line. The two boys run at the same speed as they did in the first racy. Who wins the second race?
Answer:
It states they ran the same speed in the first race so that means only the distance they ran would be different. Thus that means Brady only ran 95 meters instead of 100 meters. If Brady was put 5 meters back that means it will be a tie if they ran at the same speed the entire race.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
It would be a tie. Brady is 5 meters faster then Quinn. So if Brady were to stay behind 5 meters and they ran the same speed as they did before, then it would be a tie.
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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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?
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 :)
help need help fast !!!!!!!!!!
Answer:
Step by step explanation:
ome friends went to the local movie theater and bought four large buckets of popcorn and six boxes of candy. The total for the snacks was $46.50. The last time you were at the theater, you bought a large bucket of popcorn and a box of candy, and the total was $9.75. How much would 2 large buckets of popcorn and 3 boxes of candy cost?
Type the price of one bucket of popcorn here.
Type the price of one box of candy here.
How much would 2 large buckets of popcorn cost?
How much would 3 boxes of candy cost?
How much would 2 large buckets of popcorn and 3 boxes of candy cost?
Answer:
One bucket of popcorn: 6$
One box of candy: $3.75
2 buckets of popcorn: $12
3 boxes of candy: $11.25
2 buckets of popcorn and 3 boxes of candy: $23.25
Step-by-step explanation:
We can find the cost of one bucket of popcorn and one box of candy using a system of equations
[tex]4P + 6C=46.50\\P + C =9.75[/tex]
We can use the elimination method and thus multiply the second equation by -4:
[tex]4P + 6C = 46.50\\-4(P+C=9.75)\\\\4P + 6C = 46.50\\-4P -4C=-39\\\\2C = 7.5\\\\C = 3.75[/tex]
We can plug C into the second equation to find P:
[tex]P + 3.75 = 9.75\\P = 6[/tex]
Thus, the cost of two buckets of popcorn is 6 * 2 = $12
And the cost of three boxes of candy is 3.75 * 3 = $11.25
And the cost of both two buckets of popcorn and three boxes of candy is (6*2) + (3*3.75) = 12 + 11.25 = $23.25
Help picture below problem 12
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
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 ✔️
multiply (−3/4b^2)(−6a^2b^5)
Step-by-step explanation:
(−3/4b^2)(−6a^2b^5)
= 9 a²b³