Answer:
64
Step-by-step explanation:
You open up the (3x+5)^2 and get:
9x^2 + 30x + 25
So...
a+b+c = 64
OR
You add the coefficient(s) and the constant together in the parentheses and get:
(3x+5)^2 --> (8)^2
So you square the 8 and get:
64
Find the answer please
Answer:
12.57
Step-by-step explanation:
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Answer:
4pi
Step-by-step explanation:
Pi * r^2 = area of circle
r = 2
pi*2^2 =
4pi
Use the definition of continuity and the properties of limits to show that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3
Answer:
See below.
Step-by-step explanation:
First check that f(x) has a real value at x = 3:
f(3) = 3^2 + 5(3 - 2)^7
= 9 + 5 * 1^7
= 14,
So the first condition is met.
Now we check if limit as x approaches 3 exists.
As x approaches 3 from below f(x) approaches 14 and at x = 3 = 14.
As x approaches 3 from above f(x) approaches 14 and at x = 3 = 14.
These 3 conditions shows that f(x) is continuous at x = 3.
The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 because it meets all the conditions of continuity: it is defined at x = 3, the limit of the function as x approaches 3 exists, and the limit equals the function's value at x = 3.
Explanation:The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 if it satisfies the following three properties: the function is defined at x = 3, the limit of the function as x approaches 3 exists, and the function value at x = 3 is equal to the limit as x approaches 3.
Step 1
The function is defined at x = 3. When we substitute x = 3, we get f(x) = 3^2 + 5(3 - 2)^7= 9 + 5*1^7 = 14.
Step 2
The limit of the function as x approaches 3 exists. As x approaches 3 from both the left and right sides, the function takes the value 14.
Step 3
Finally, the limit as x approaches 3 is equal to the function's value at x = 3. In other words, the limit is 14, which is equal to the function's value when x = 3 (which is also 14).
Since the function satisfies all these conditions, we can say that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3.
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The radius of the circle is 12 cm. What is the circumference of the circle? (Use [pi = 3.14.)
Answer:
C =75.36 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
C = 2 *3.14 *12
C =75.36 cm
HELP ASAP
Select the correct answer.
D = matrix (1 2 -3
2 -6 1
4 2 5)
is the coefficient matrix of a system of linear equations and
Dx = matrix ( 46 2 -3
-41 6 1
-11 2 5)
What is the solution of the system of linear equations represented by D and Dx?A.
(5, 4, -11)
B.
(5, 7, -9)
C.
(6, 7, -11)
D.
(6, 4, -9)
The solution to the system of linear equations represented by D and Dx is (x,y,z) = (5, 4, -11), which corresponds to option A.
Explanation:To solve for Dx in the given system of linear equations, we multiply matrix D by the unknowns (x, y, z). So let's assume that Dx = (x, y, z).
By comparing the results of Dx and the given matrix, we can write the system of equations as:
1x + 2y - 3z = 46; 2x - 6y + z = -41; 4x + 2y + 5z = -11.
By solving this system of equations, we can find that the solution is (x,y,z) = (5, 4, -11), which corresponds to the multiple-choice option A.
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To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ. By calculating the inverse of matrix D and substituting the values of Dx, we find that the solution is (5, 7, -9).
Explanation:
To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ
Let's use matrix inversion to solve for x. We know that Dx = Dⁿⁿ can be rewritten as x = Dⁿⁿ −1 Dx. To find Dⁿⁿ −1, we need to calculate the inverse of matrix D:
After calculating the inverse of matrix D, we can substitute the values of Dx into the equation x = Dⁿⁿ −1 Dx to find the solution.
Plugging in the values of Dⁿⁿ and Dx, we get x = (5, 7, -9).
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Equivalent Expression of
11 - 30x + 24
Sonjia bought a combination lock that opens with a 4-digit number created with the numbers 0 through 9. The same digit cannot be used more than once in the combination. If Sonjia wants the last digit to be 7 and the order of the digits matters, how many ways can the remaining digits be chosen?
a
84
b
504
c
60,480
d
3,024
Answer:
b. 504
Step-by-step explanation:
In this case, we have to apply the permutation formula, since the order is important and it cannot be repeated. The formula is as follows:
nPr = n! / (n-r)!
From 0 to 9, there are 10 digits, but we must remember that the number 7 has already been used and cannot be repeated, therefore n = 9. And they are 4 digits but only 3 are needed, therefore r = 3.
Replacing:
9P3 = 9! / (9-3)!
nPr = 504
Therefore the answer is b.
Find the median of the following numbers. 14, 17, 21, 28, 40.
Answer:21
Step-by-step explanation: The median is the number in the middle sorted from least to greatest, here 21 is the middle number.
Answer:
21
Step-by-step explanation:
Very Simple 1st to get a right answer gets Brainliest!!
The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
Lee's house.
Step-by-step explanation:
Plot (-5, -1) on a graph and Lee's house is the closest and in the same quadrant.
Answer: LEE
Step-by-step explanation:
because its a negative and a negative.
At the toy store for cars cost $3.28 how much does it cost to buy 30 toy cars
Answer:
98.4
Step-by-step explanation:
Multiply 3.28 by 30
Answer:
$98.40
Step-by-step explanation:
3.28x30=98.4
I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!
If this problem is to be solved by substitution, which is a correct step?
y = 4x - 6
2x - 3y = 8
A) 2x - 12x + 18 = 8
B) 2x - 12x - 18 = 8
C) 2x - 4x + 6 = 8
D) 2x + 12x + 18 = 8
Answer:
A, the first one
Step-by-step explanation:
Answer:
I BELIEVE THAT THE ANSWER IS A.
Solve for x to the nearest degree (34.3 = 34)
Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° = [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:
[tex]x = arctan (\frac{10}{9})[/tex]
Using a calculator, the answer would be:
[tex]x = 48.0128[/tex]
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring cup to get 6 cups of flour
Answer:
Juan would need to fill up the 1/4 measuring cup 24 times.
Step-by-step explanation:
So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!
Juan would need to use his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour. This is solved by multiplying the number of quarters (4) in a cup with the total cups Juan needs (6).
Explanation:In order to understand the problem, we need to consider that each cup contains 4 quarters. So, if 1 cup equals 4 quarters, then 6 cups, the amount Juan needs for his recipe, would be 6 multiplied by 4, which is 24. Therefore, Juan would need to fill his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour.
This is a problem of mathematics, precisely about ratios and proportions, commonly taught in middle school.
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an angle measures 57.8° more than the measure of its complementary angle. what is the measure of each angle
Answer:
57.8 and 32.2 degrees
Step-by-step explanation:
Complementary angles = 90 degrees
90-57.8= 32.2
3x + 14 = 3,,,,,,,,,,,,
Answer:
-11/3
Step-by-step explanation:
A car wash detailed 148 cars in 4 hours. At what rate did the car wash detail cars in cars per hour?
A. 38 cars per hour
B. 36 cars per hour
C. 35 cars per hour
D. 37 cars per hour
Answer:
D) 37 cars/hour
Step-by-step explanation:
148/4=37
WILL MARK BRANLIEST! 100 POINTS!
Answer:
g(x)=9
Step-by-step explanation:
use a vertical line to determine what the y value is for g(x)
g(x)=9
Step-by-step explanation:
use a vertical line to determine what the y value is for g(x)
Please answer this question
Answer:
One of these numbers is a cube number which means that it could be 1,8, or 27 because those are the first three cube numbers.
If you go with one then you have to find two more numbers that add up to 35 and are a factor of 20, which is not possible.
Then you use 8, which means you have to find two numbers that add up to 26, and are factors of 20, which could be nothing, there aren't any.
Last you do 27 which means you need to find two numbers that add up to 9 and are factors of 27, which can be 4 and 5, because 4+5=9 and 4*5=20.
27,4,5
Hope this helps ;)
Help please and thankyou <3
The answer is D, because -2/3/2 = -4/3.
Answer:
the answer is D
Step-by-step explanation:
-2/ 3/2
= -2 × 2/3
= -4/3
A line segment has an endpoint at (3, 2). If the midpoint of the line segment is (6, -2), what are the coordinates of the point at the other end of the line segment?
Answer:
(9,-6)
Step-by-step explanation:
The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.
6+3=9
-2+(-4)=-6
So the coordinates are (9,-6)
Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and
divided into 5 smaller equal lengths. If Mr. Hopkins bends the wire at - meter, what fraction of the
smaller marks is that?
Answer: fraction = 1/20 or 0.05
Step-by-step explanation:
Let's first convert metre to centimeter
1 metre = 100 centimeters
Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:
1/4 × 100 = 25
Then divide 25 into 5 places
25/5 = 5cm
If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?
The fraction = 5/100 = 1/ 20 or 0.05
What is the radius of the circle without the equation to solve it?
Answer:
radious 7
diameter 14
Step-by-step explanation:
Final answer:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle.
Explanation:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle. Since the value of π is approximately 3.14159, you can divide the circumference of the circle by 2π to find the radius.
For example, if the circumference of the circle is 10 units, the radius would be 10/(2π) units.
Remember to use the appropriate units for both the circumference and the radius.
In this picture b, d, and f are midpoints. Ac=50 ce=60 and bd=35. What is bf
Answer:
BF = 30
Step-by-step explanation:
Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus
BF = 0.5 × 60 = 30
The value of BF will be, 30 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In this picture;
B, D, and F are midpoints.
And, AC = 50, CE = 60 and BD = 35.
Here, C is midpoint of CE.
Hence, We get;
⇒ CD = 1/2 × 60
= 30
Here, The length of BF is equal to the length of CD.
Hence, The value of BF = 30 units.
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Marissa can plant 10 seeds in 15 hour. She divides to find the number of seeds she can plant per hour, but she makes a mistake. Three of these reasons explain why her answer must be wrong. Which does NOT?
Answer:
you can not plant 1 and a half of a seed
Step-by-step explanation:
Answer: the answer is the answer cannot be a whole number
Step-by-step explanation:
your welcome
What is the value of y in this simplified expression?
11^-4/11^-8=11^y
a.-12
b.2
c.4
d.32
Answer:
choice C. y = 4
Step-by-step explanation:
Simplify 11^-4 / 11^-8
= 11^(-4 - (-8) ) = 11^(-4+8) = 11^4
so
11^4 = 11^y
means y = 4
Gwen bought 4 books about plants and 9 books about fish. She also bought 8 science magazines. Each book cost $12 and each magazine cost $5. How much did Gwen spend in all?
PLZZZZZZZZ HELP U WILL GET 20 POINTS!! AND BRAINLIST!!
Answer:
196
Step-by-step explanation:
12*13+8*5
Answer:
$196
Step-by-step explanation:
First, you have to know how many total there are for each. In total, there are 13 books and 8 magazines. We also need to know how much all of these cost. So, you multiply 13 by 12 to find the total cost of the books. 13 books times 12 dollars each is $156. Now, we do the same for the magazines. 8 magazines times 5 dollars each is $40. To find how much she spent in all, you have to add the two numbers.
$156 plus $40 is $196.
(4-2)^3-3x4 what is the answer
Answer:
-4.
Step-by-step explanation:
I am assuming that x means times here.
(4-2)^3-3x4
= 2^3 - 12
= 8 - 12
= -4.
The Lewis family is building a circular swimming pool if the radius of the pool is 9 feet what is it’s circumference use TT =3.14 to solve
51.62
56.52
61.52
66.42
Answer:
C =56.52 ft
Step-by-step explanation:
The circumference is found by
C = 2*pi*r where r is the radius
C = 2*3.14 * 9
C =56.52 ft
What is 25% of what number is 13?
Answer:
52
Step-by-step explanation:
Of means multiply and is means equals
25% * W = 13
Changing to decimal form
.25W =13
Divide each side by .25
.25W/.25 = 13/.25
W =52
Identify the fungus type pictured below.
Public Domain (2 points)
A.Sac fungi
B.Zygote fungi
C.Club fungi
D.Imperfect fungi
Answer: sac fungi
Step-by-step explanation:
the side of an equilateral triangle are8 units long. what is the length of the altitude of the triangle?
So, the triangle is equilateral, all its sides are equal⇒
AB=BC=AC=8
In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒
AO=OC=8:2=4
by the Pythagorean theorem
[tex]8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}[/tex]
Answer: BO=4√3
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