Answer:
a^2 + 4a/b + 4/b^2
Step-by-step explanation:
Which of the following is equivalent to (a + b/2) ^2?
The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is the algebraic expression as -
(a + b/2)²
We can write -
(a + b/2)² = a² + (b/2)² + 2 × a × b/2
(a + b/2)² = a² + (b/2)² + ab
(a + b/2)² = a² + b²/4 + ab
Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
To solve more questions on algebraic expression, visit the link below -
https://brainly.com/question/27911936
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Find y to the nearest hundredths place
Answer:
I cant see the picture
Step-by-step explanation:
A population has a mean of 125 and a standard deviation of 16. A sample of 64 observations will be taken. The probability that the sample mean will be between 122.4 and 126.1 is
Answer:
0.61204
Step-by-step explanation:
μ = 125 ; σ = 16 ; n = 64
Probability that mean will be between 122.4 and 126.1
Z = (x - μ) / σ/sqrt(n)
x = 122.4
Z = (122.4 - 125) ÷ 16/sqrt(64)
Z = - 2.6 ÷ 2 = - 1.3
P(Z < - 1.3) = 0.0968
x = 126.1
Z = (126.1 - 125) ÷ 16/sqrt(64)
Z = 1.1 ÷ 2 = 0.55
P(Z < 0.55) = 0.70884
P(Z < 0.55) - P(Z < - 1.3)
0.70884 - 0.0968
= 0.61204
Find the area of a triangle ABC when m is less than C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Answer:
[tex]Area =6.41mi^2[/tex]
Step-by-step explanation:
Given
[tex]a = 5.7[/tex]
[tex]b = 9.3[/tex]
[tex]c = 14^\circ[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area =\frac{1}{2}* a * b * sin(c)[/tex]
So:
[tex]Area =\frac{1}{2}* 5.7 * 9.3 * sin(14)[/tex]
[tex]Area =\frac{1}{2}* 5.7 * 9.3 * 0.2419[/tex]
[tex]Area =6.41mi^2[/tex]
Answer:
The answer is 6.41!
Step-by-step explanation:
I took the test and this is correct
PLEASE HELP!!
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
extra : i used symbolab.com :)
classify the following based on sides and angles.
Answer:
D. right; scalene
Step-by-step explanation:
As you can see in the diagram you have a 90, 50, and 40 degrees angles. Because one of the angles is equal to 90 degrees (a right angle) this triangle can be classified as a right triangle.
No congruent sides are shown.... That means it's a scalene.
In two or more complete senteces compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=x^2-7. Be sure to include the transformation that occured between the parent function f(x) and its image g(x)
Answer:
Step-by-step explanation:
f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.
g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.
Hillary is choosing a notebook. She can have a three-ring or two-ring binder in red, blue, green, or striped, with or without interior pockets. How many combinations of notebooks does she have? Solve step by step.
Answer:
Step-by-step explanation:
HELP ASAP I'm trying to go to the mall todayy
Answer:
[tex]\pi \: d[/tex]
Step-by-step explanation:
the circumference is equal to pi times diameter
P.S 26 is not the answer I tried it I need help :(
Answer:
52.........................
Answer:
A
Step-by-step explanation:
(2x + 6)° = 32°.........(Alternate angles are equal)
2x° = 32°- 6°
2x° = 26°
x. = 26 ÷ 2
x. =. 13°
PLEASE GIVE BRAINLIEST....
What is the square root of -1?
Answer:
i
Step-by-step explanation:
i stands of imaginary because no real numbers are negative
3.5 liters into kiloliters
Answer:
.0035 kiloliters
Step-by-step explanation:
1 liter = 0.001 kiloliters
3.5 liters x .001 = .0035 kiloliters
or just use calculator bro
there are 65 cookies in a jar. the probability of randomly choosing an oatmeal cookie from the jar is 40% how many of the cookies are oatmeal cookies pls help
Answer:
25
Step-by-step explanation:
Sale 10 % off During the sale, Susan pays $603 for a wedding cake. What was the original price?
Answer:
$670
Step-by-step explanation:
1/10x + 603 = x
x -10x = -6030
-9x = -6030
x = 670
Solve the following question:
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3.
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
[hint: X~Geo(0.3) a) P(X=__), b) P(X<__)]
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
b*) Find P(G=20) correct to 3 significant figures.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
What is the area of this figure?
Answer:
area = 400 in²
Step-by-step explanation:
parallelogram area = 20 x 16 = 320
triangle area = 1/2(20)(8) = 80
320 + 80 = 400 in²
Yolanda created a scatter plot of the relationship between the number of times she visited different friends each month, y, and the distance in miles of the friends from her home, x. She calculated the equation of the trend line to be y = −3.5x + 20. Use this information to predict the number of times in one month Yolanda would visit a friend who is 4 miles from her home.
Answer:
6 times
Step-by-step explanation:
y = −3.5x + 20 ; x = 4
y = -3.5(4) + 20
y = -14 + 20
y = 6
George worked on his science project for 5/12 hours on monday and 3/4 hour on tuesday. How much longer on tuesday did georege than on monday
Answer:
2/8 hours
Step-by-step explanation:
Plz give me brainlyist
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
46.8/0.156
Show work
Answer:
300
Step-by-step explanation:
please help ill give brainliest
A catering company needs 8.75 Ib of shrimp for a small party. They buy 3 2/3 Ib of jumbo shrimp, 2 5/8 Ib of medium-sized shrimp, and some mini-shrimp. How many pounds of mini -shrimp do they buy?
If each side of the prism is three times longer, what is the volume of that prism
Answer:
1620 m³
Step-by-step explanation:
To find the answer, we simply have to multiply the three values by three, and then multiply those new values together. 5 x 3 = 15, 4 x 3 = 12, 3 x 3 = 9, Multiply 15 x 12 x 9 and you get 1620.
(P.S. Make sure you put meters cubed [m³]! Some teachers are very picky about that.)
Need help ASAP!!!!!!!!!!
Answer:
the last two
Step-by-step explanation:
Find the distance between the points A and B given below.
(That is, find the length of the segment connecting A and B.)
Round your answer to the nearest hundredth.
Step-by-step explanation:
Horizontal it is 4
Vertical it is 2
Use of Pythagoras theorem to find AB
AB= root of 4^2 + 2^2
= 4.47
The points= (3,2) and (7,5)
Distance =
[tex] \sqrt{ ({x}^{2} - x {}^{1} ) {}^{2} + ({ y}^{2} - y {}^{1} ) {}^{2} } [/tex]
=
[tex] \sqrt({4} - 9) {}^{2} + (5 - 7) {}^{2} [/tex]
=
[tex] \sqrt{25 + 4} [/tex]
=
[tex] \sqrt{29} [/tex]
[tex]5.39[/tex]
5.39 is the answer
which point is 8 units away from ( 7, 5 ) ?
Answer:
C ( 7, -3 )
Step-by-step explanation:
Question:
which point is 8 units away from ( 7, 5 ) ?
Choices:
A : (0,-3 )B (15,13) C ( 7, -3 ) D ( 1, 5 )
Solution:
(7, 5) and (7, 3) have the same x-coordinate, 7.
They are both on a vertical line that passes through point (7, 0).
(7, 5) is 5 units above the x-axis.
(7, -3) is 3 units below the x-axis.
5 + 3 = 8
(7, 5) and (7, 3) are 8 units apart.
Answer: C ( 7, -3 )
I REALLY NEED HELP PLEASE!!
Answer:
it's a
Step-by-step explanation:
30x+40 using the gcf
Suppose that a particular function f satisfies
f′′(x)=24x2+12x−4, f(0)=−4, f′(0)=1.
Then we must have
f(x)=
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Need Help (WILL GIVE BRAINLIEST)
Answer:
A
Step-by-step explanation:
(y-5) / (7-5) = (x-1) / (2-1)
(y-5) / 2 = x-1
y-5 = 2x -2
y = 2x +3