Answer:
65.94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
3.14(a² + ab)
a = 3
b = 4
Step 2: Evaluate
Substitute in variables: 3.14(3² + 3 · 4)(Parenthesis) Exponents: 3.14(9 + 3 · 4)(Parenthesis) Multiply: 3.14(9 + 12)(Parenthesis) Add: 3.14(21)Multiply: 65.94Hey there!
3.14(a^2 + ab)
= 3.14(3^2 + 3 *4)
3^2
= 3 * 3
= 9
3 * 4
= 12
3.14(9 + 12)
9 + 12
= 21
3.14(21)
= 65.94
Answer: 65.94
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The sum of three consecutive numbers is 66. What is the smallest of these numbers?
Answer:
the 3 numbers are 20,22,and 24 and the smallest of which is 20
Step-by-step explanation:
Hope this helped
which expression is equivalent to 6 + 3 * 4 - 1 / 3
Answer:
12 2/3
Step-by-step explanation:
add the integers to get 6+3 + 4 = 13
Now subtract 1/3
13 = 12 + 1 - 1/3
but one is equal to 3/3
12 + 3/3 - 1/3
12 2/3
Select all the pairs of expressions that are equivalent.
•14d + 21 and 7(2d + 3)
•9(5r - 2) and 14r - 7
•8(69 - 9) and 489 - 72
•16 + 4w and 2(2w + 8)
•32t + 16 and 16(2 – t)
Answer:
14d + 21 = 7(2d + 3)
16 + 4w = 2(2w + 8)
Step-by-step explanation:
14d + 21
7(2d + 3)
14d + 21
14d + 21 = 7(2d + 3)
9(5r - 2)
45r - 18
14r - 7
9(5r - 2) ≠ 14r - 7
8(69 - 9)
552 - 72
489 - 72
8(69 - 9) ≠ 489 - 72
16 + 4w
2(2w + 8)
4w + 16
16 + 4w = 2(2w + 8)
32t + 16
16(2 - t)
32 - 16t
32t + 16 ≠ 16(2 - t)
The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)
How to determine the equivalent expressions?To do this, we test each pair of expression.
This is done as follows
14d + 21 = 7(2d + 3)
Expand
14d + 21 = 14d + 21 --- this is true
9(5r - 2) = 14r - 7
Expand
45r - 18 = 14r - 7 --- this is false
8(69 - 9) = 489 - 72
Expand
552 - 72 = 489 - 72 --- this is false
16 + 4w = 2(2w + 8)
Expand
16 + 4w = 4w + 16 ---- this is true
32t + 16 = 16(2 – t)
Expand
32t + 16 = 32 - 16t --- this is false
Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)
Read more about equivalent expressions at:
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Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i
Answer:
that's right B) 3 - √3i
Step-by-step explanation:
(12 - √-48) / 4 =
12/4 - √-48 /4
= 3 - √(-48/16)
= 3 - √-3
= 3 - √ 3i
[tex]\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}[/tex]
[tex]\\ \rm\Rrightarrow 3-4\sqrt{3}i/4[/tex]
[tex]\\ \rm\Rrightarrow 3-\sqrt{3}i[/tex]
Item 23
What kind of angle is angle BCA ?
acute
obtuse
right
Answer:
BCA is obtuse
Step-by-step explanation:
BCA = 98 degrees
greater than 0 to less than 90 is acute angles
90 - right angle
greater than 90 to less than 180 is obtuse
98 is obtuse
Which statement is true about the function shown in the graph?
Answer:
A
Step-by-step explanation:
The function that is shown in the graph is strictly decreasing
What is a function?"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function has a value of (- 5) at a certain point.
After that the function is decreased to a value of (- 10).
Therefore, we can conclude that the function is strictly decreasing.
Learn more about a function here:
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Find the measure of the numbered angles
Answer:
Step-by-step explanation:
∡1 = 180-30-90 = 60°, because sum of all interior angles of a triangle is 180°
∡2 =30°, because vertical angles are congruent
∡3 =180-70-30 = 80°, because sum of all interior angles of a triangle is 180°
In Oregon, the mean annual rainfall in Rockaway Beach is 118.88 inches and the mean annual rainfall in Falls City is 122.28 inches. Which conclusion can you make using this information?
Answer:
Step-by-step explanation:
Based on this information, you could conclude that the annual rainfall in Falls City is generally more than that of the annual rainfall in Rockaway Beach. This is based on the information provided since the numbers given are the mean annual rainfall. Meaning that this is the average amount of rain that falls in any given year in that specific location. Since the amount provided for Falls City is a larger number then it means it gets more rainfall than Rockaway Beach on average and would therefore be the safest conclusion that can be made.
Answer:
I hope this helps
Step-by-step explanation:
Can Someone help me please?
Answer:
the last option is coorect
out of 80,000 seats in a cricket stadium 12% seats were there occupied by vips and 39040 seats by general public what percentage of the stadium remained un occupied?
Answer:
% of unoccupied seats = 63.2 %
Step-by-step explanation:
Total seats = 80, 000
VIP seats = 12 % of 80, 000
[tex]= \frac{12}{100} \times 80000\\\\= 9600[/tex]
General Seats = 39040
Remaining seats = 80000 - 9600 - 39040 = 50, 560
Percentage of un-occupied seats,
[tex]= \frac{50560}{80000} \times 100 = 63.2 \%[/tex]
Answer:
THE NUMBER OF SEATS OCCUPIED BY VIPS=80000×12/100
=9600
occupied seats=9600+39040
=48640
number of unoccupied seats=80000-48640
=31360
percentage of unoccupied seats=31360/80000×100%
=39.2%
Choose the equation that represents the line that passes through the point (6, -3) and has a slope of
1/2
y=-x+6
y=2x-6
y=2x+3
Answer:
y=1/2x-6
Step-by-step explanation:
slope=1/2, (6,-3)
plug in the x and y coordinates into the equation
-3= 1/2 (6) +b
-3=3+b
subtract 3 from both sides
b=-6
y=1/2x-6
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 29 cups of coffee, using 444 ounces of coffee, while collecting a total of $35.90. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answer:
10 oz: 7
14 oz: 8
20 oz: 6
Answer:
Kyle filled 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
Step-by-step explanation:
10oz 95c = x
14oz 1.15c = y
20oz 1.50c = z
444 given divided by 29 cups
= 444/29 = 15.3103448 average cup weight so the higher size were used more.
9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50
16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40
4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80
Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.
OR just submit this. 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
Luca solved an equation as shown, and verified
that his solution was correct.
√2x-5 = √x-3+1
( 12x-5)-(1x=3+1)
2x-5= X-3+1
X = 3
Answer:
3
Step-by-step explanation:
squaring both sides first gives 2x-5=x-3+1 hence simplifying further give x=3
Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Answer:
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Step-by-step explanation:
Ax + By = C, where A = 0, B is positive, and C is negative
By= C or y= C/B which is negative
Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero
---------------
A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
no, the line is horizontal
A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
no, the line is horizontal
A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
no, the y-values should be negative
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
yes, this is horizontal line below zero
Answer:
D
Step-by-step explanation:
find the product. write your answer in exponential form 9²•9-⁶
Answer:
9^8
Step-by-step explanation:
9²•9⁶ = 9^(2+6) = 9^8
Answer:
IF the 6 is negative : [tex]9^{2}[/tex] · [tex]9^{-6}[/tex] then the answer is 1/[tex]9^{4}[/tex]
If the 6 is positive then the answer is [tex]9^{8}[/tex]
Step-by-step explanation:
Exponents are add when their bases are similar.
Helpppppppppppppppp please y’all
[tex]\sf{3. \ \ Given : \dfrac{2}{3} - \dfrac{5}{4} + \dfrac{7}{2}}[/tex]
Let us solve the first two fractions : The LCM of 3 and 4 is 12
[tex]\sf{\implies \dfrac{4(2) - 5(3)}{12} + \dfrac{7}{2}}[/tex]
[tex]\sf{\implies \dfrac{8 - 15}{12} + \dfrac{7}{2}}[/tex]
[tex]\sf{\implies \dfrac{-7}{12} + \dfrac{7}{2}}[/tex]
LCM of 2 and 12 is 12
[tex]\sf{\implies \dfrac{-7 + 7(6) }{12}}[/tex]
[tex]\sf{\implies \dfrac{-7 + 42}{12}}[/tex]
[tex]\sf{\implies \dfrac{35}{12}}[/tex]
[tex]\sf{\implies 2 +\dfrac{11}{12}}[/tex]
[tex]\sf{\implies 2 \dfrac{11}{12}}[/tex]
---------------------------------------------------------------------------------------
[tex]\sf{4. \ \ Given : \dfrac{(2 - 7)^2 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{(-5)^2 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{25 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{30}{3}}[/tex]
[tex]\sf{\implies 10}[/tex]
Answer:
2/3-5/4+7/2
Step-by-step explanation:
collect like terms. that is the positive and negative terms2/3+7/2-5/4lcm of 3 and 2 is 6 hence 2/3+7/2= 25/625/6-5/4....lcm of 6 and 4 is 12 hence 25/6-5/4=35/12 the answer in its mixed fraction is 2 and 11/12i need to find the area. please help
Answer:
A = 190 inches^2
Step-by-step explanation:
The total area would be area for a rectangle + half the area of a circle:
Area for a rectangle:
A = l x w
A = 12 x 15
A = 180 [tex]inches^{2}[/tex]
Area for half of the circle:
A = [tex]\frac{\pi r^{2} }{2}[/tex]
[tex]A = \frac{\pi 2.5^{2} }{2} \\\\= \frac{19.63}{2} \\\\= 9.8 inches^{2}[/tex]
Total area: Rectangle area + half of the circle area
= 180 + 9.8 = 189.8 = 190 inches^2
Step-by-step explanation:
Find the rectangle area first by using the formula A=length * width then find the semicircle area by using the formula A=pi*r²/2
write a quadratic function f whose zeros are 2 and -6
Answer:
hope this will help u
Step-by-step explanation:
⇒ Given zeros are α=2 and β=−6.
⇒ Sum of zeros =α+β=2+(−6)=−4
⇒ Product of zeros =α×β=2×(−6)=−12
⇒ Quadratic polynomial =x
2
−(α+β)x+(α×β)
⇒ Quadratic polynomial =x
2
−(−4)x+(−12)
∴ Quadratic polynomial =x
2
+4x−12
The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.
What is the quadratic function with roots 2 and -6?Given the parameters:
Zeros of the function: 2 and -6.
To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:
x = 2 and x = -6
These are the real solutions to the quadratic equation:
This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:
Hence:
( x - 2 )( x + 6 ) = 0
Expand using distributive property:
x( x + 6 ) - 2(x + 6 ) = 0
x² + 6x - 2x - 12 = 0
Collect and add like terms:
x² + 4x - 12 = 0
Therefore, the function will be:
f(x) = x² + 4x - 12.
The quadratic function is f(x) = x² + 4x - 12.
Learn more about quadratic equations here: brainly.com/question/1863222
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In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB 266, then mAPB
Answer: 86 degrees
Step-by-step explanation:
Find the measure for angle b
Determine the positive number that must be added or subtracted to the expression to complete the square. x ^ 2 - 2x.
Answer:
1
Step-by-step explanation:
take the -2 and divide it by 2
that gives you -1
then square it
now its positive 1
formula is [tex](b/2)^{2}[/tex]
where b is the term next to the x
What is the distance between (-5, -6) and (-3, -8)?
Here is the question
Answer:
X = 4
UV = 24
Step-by-step explanation:
Opposite sides are equal
5x+4=6x
subtract 5x from both sides
4 = x
then substitute the 4 into 5x+4
5(4) + 4 = 24
Select the correct answer. What is this expression in simplified form?(6v2)(-3v5) options: A. -90 B.-18v10 C.-18v7 D. 3v7
Answer:
[tex]-18\sqrt{10}[/tex]
Step-by-step explanation:
[tex](6\sqrt{2})(-3\sqrt{5} )[/tex]
[tex]6\sqrt{2} * -3\sqrt{5}[/tex]
[tex](6*-3)\sqrt{2*5}[/tex]
[tex]-18\sqrt{10}[/tex]
Answer to the question
Answer:
7
Step-by-step explanation:
Step-by-step explanation:
AB//CD (Opposite sides of parallelogram are parallel)
Angle A + Angle B = 180 (Sum of interior angles=180)
179 + 3x - 20 = 180
3x - 20 = 180 - 179
3x - 20 = 1
3x = 1 + 20
3x = 21
x = 21/3
x = 7
Please help with this!! Urgent
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When p and q are roots, (x -p) and (x -q) are factors. The quadratic equation is then ...
0 = (x -p)(x -q) = x^2 -(p+q)x +pq
That is, the constant term is the product of the roots and the linear term coefficient is the opposite of the sum of the roots.
Using the given sum and product, the equation can be written ...
0 = x^2 -(-5/4)x +3/4
Multiplying by -8 gives ...
0 = -8x^2 -10x -6 . . . . . matches lower right choice
_____
Check
The product of roots is positive, so both roots have the same sign. The sum of roots is negative, so both roots are negative. That means there are no positive real roots to the equation. Descartes' Rule of Signs tells you this means the sequence of coefficients has no sign changes. Only the choice shown below has no sign changes. All of the others have at least 1 sign change.
The difference of two numbers is 13. The sum of two numbers is 75
Answer:
The numbers are 31 and 44.
Step-by-step explanation:
Given that the difference of two numbers is 13, and the sum of two numbers is 75, to determine what these numbers are, the following calculations must be performed:
(75 - 13) / 2 = X
62/2 = X
31 = X
31 + (31 + 13) = X
31 + 44 = X
75 = X
Therefore, the numbers are 31 and 44.
A file that is 226 megabytes is being downloaded if the download is 12.&% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
28.7
Step-by-step explanation:
12.7% = 0.127
226 * 0.127 = 28.702
Rounded
28.7
Help please i need it
Answer:
0.51
Step-by-step explanation:
Please help me with this thank you!
==========================================================
Explanation:
Choice A can be ruled out because the three angles shown add up to 360 degrees (which is a full circle rotation). The three angles of any triangle always add to 180.
Choice C can be ruled out because angles 'a' and 'b' are supplementary, as they same side interior angles. Because a+b = 180, there isn't any way to have c be a positive number and have a+b+c = 180 to be true. In other words, angles a,b,c add up to something over 180 degrees.
Choice D is a similar story to choice C. The three angles a,b,c add up to something over 180 degrees, but less than 360.
Choice B is the only thing left. We can see that the three angles form a straight angle, so a+b+c = 180 is true and all three variables are positive numbers. If b = c were true, then the triangle is isosceles. This is because the base angles are always congruent for any isosceles triangle.
That's why choice B is the answer.
Answer:
Step-by-step explanation:
