Answer:
5.5 inches
Step-by-step explanation:
Because Length * Width = Area, Length * 12 = 66.
If we solve for Length by dividing both sides by 12, we end up with Length = 5.5 inches
What is the equation of the line that passes through the point (-4,-2) and has a
slope of -1/2?
Answer:
[tex]y = - \frac{1}{2} x[/tex]
Factorise
Please with full method
[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]
[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]
[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]
[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]
[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]
Answer:
Step-by-step explanation:
[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]
What is the area of a rectangle with a length of 5 cm and a width of 3 cm
Hi there!
»»————- ★ ————-««
I believe your answer is:
15cm²
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
35 344 minus 17 943 is 17 401 but to show the sum in how to get 17 401 is hard. In calculating I keep getting 22 601. please help me show how to get 17 401
Identify the problem with the following study. A local newspaper published the results of a study that claimed "482 people use the public library". The study was produced by using a random sample of 87 people from the town
Answer:
well, only 87 people were asked. How did they get 482?
also, they should have asked the people in the library.
What is the sum of 5 numbers whose average is 5 more than 5?
Answer:
The sum of 5 numbers with an average of 5 more than 5 is 50
Step-by-step explanation:
Let the first five letters of the alphabet be equal to the 5 numbers being summed.
Let the average be represented by the following equation:
[tex]\frac{a + b + c + d + e}{5} = 10[/tex]
To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides
[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]
Therefore, we see to it that the sum of the 5 numbers is 50.
James had “x” amount of jellybeans. Jordan had twice the amount of jellybeans than James. If they had a total of 72 jellybeans altogether, how many jelly beans did James have?
7 is the bracket from the quotient of 48 divided by the sum of 5 and difference of 11 and 8
With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more homeruns per week than Lisa?
Answer:
31/4
= 7.75
So Mark has to average more than 7.75 homeruns per week.
Step-by-step explanation:
Mark me as brainliest.
y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
-12x - 2y = -4.
add 12x on both sides
-2y = 12x -4.
divide by -2
y = -6x + 2
Answer: D. Infinite number of solutions.
Step-by-step explanation: On Edge!
use intercepts to to graph the line described by the equation -2x = 4 + 4y
The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute
Answer:
15.87%
Step-by-step explanation:
*Probability-Below 15.87%
Z1=-1
*x-1 38
*µ 44
*σ 6
The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
What is z-score?The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
Formula for z-scorez = (x -μ)/σ
Where,
Z is standard score.
x is observed value.
μ is mean of the sample.
σ is standard deviation of the sample.
What is probability?The area under the normal distribution curve represents probability.
According to the given question.
Mean, μ = 44
Standard deviation, σ = 6
Observed value, x = 38
Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]
So, the are P(z > -1) = 15.87%
Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
Find out more information about z-score and probability here:
https://brainly.com/question/25638875
#SPJ2
i need help ;^; pleeeeease
Answer:
[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]
Help anyone can help me do this question,I will mark brainlest.
Your answer is in the attachment .
Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!
(4x – 5)(7 – 2x) – (2x + 2)(2 – 4x)= -1
Answer: x= 19/21.
Step-by-step explanation:
We can expand the expression to:
28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1
We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:
38x - 35 + 4x -4 = -1 --> 42x - 39 = -1
We can then add 39 on both sides:
42x = 38
We can then divide both sides by the GCF (greatest common factor), 2:
21x = 19
We divide both sides by 21:
x = 19/21
Write the following as an algebraic expression;
a) Half the sum of X and y
b) Half the cube of X subtracted from y
Answer:
1/2(x + y)
Step-by-step explanation:
The sum of x and y is x + y
1/2 the sum of x + y is 1/2(x + y)
1/2 x^3
This is subtracted from y
y - 1/2 x^3
Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5
#1
[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]
[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]
[tex]\\ \sf\Rrightarrow x=14[/tex]
#2
[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]
[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]
[tex]\\ \sf\Rrightarrow 25-15+12[/tex]
[tex]\\ \sf\Rrightarrow 10+12[/tex]
[tex]\\ \sf\Rrightarrow 22[/tex]
(1.02)
Evaluate the following expression using the values given:
Find 3r2 – 5s + 6t if r = 2, s=-4, t = -1
O 38
O 26
O -2
O -14
Answer:
-14
Step-by-step explanation:
3r2-5s+6t
3.2.2-5(-4)+6.(-1)
12-20-6
12-26
-14
Answer:
(3r2 -5s +6t if r=2 s= -4 t= -1 ) =-2
what’s the solution of 4= -2(x-3)
Step-by-step explanation:
Simplifying 4 + -2(x + -3) = 24 Reorder the terms: 4 + -2(-3 + x) = 24 4 + (-3 * -2 + x * -2) = 24 4 + (6 + -2x) = 24 Combine like terms: 4 + 6 = 10 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
Calculate the length of segment AB on the graph below.
A. Square root of 5
B. Square root of 73
C. Square root of 65
D. Square root of 90
Answer:
D
Step-by-step explanation:
Substitute the co-ordinates if a and b in the distance formula and you will get the answer as sq root of 90 which is D
solve the equation
5(2x + 8) = - 33 +53
Answer:
5(2x + 8) = –33 + 53
10x + 40 = –33+53
10x= –33+53–40
10x = –20
x = –20/ 10
x = – 2
I hope I helped you^_^
1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0
a. x + 13 = 0
x = -13
x-7= 0
x= 7
b. 2x +3 = 0
2x = -3
x= -3/2 or -1.5
3x -7 = 0
3x = 7
x = 7/3
c. x = 0
or x = 3
these you have to change it into that form first
d. x= 5
or x = 0
e. x= 7
or x = -5
f. x = 1/3 or -5
An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s
A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element
The correct option for the maximum velocity of the object is the option;
13 cm/s
The reason for the selection is as follows:
The known parameters of the motion of the vehicle are:
The type motion of the vehicle = Repetitive back and forth
The path of the motion of the object = Along a straight line
The function that gives the velocity in centimeters per second (cm/s) is given as follows;
[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]
Where;
t = The time in seconds (a set of the input variables of the function)
v(t) = The velocity of the object (the output variables of the function)
The velocity of the object, v(t), depends (is given by) on the time t, therefore;
The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function
The maximum output value of the sine function = 1, therefore;
[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]
[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]
The units of the of the function is cm/s
Therefore, the maximum velocity of the object is 13 cm/s
Learn more about functions here:
https://brainly.com/question/23999020
Answer: B. 13 cm/s
Step-by-step explanation:
Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.
Answer:
25
Step-by-step explanation:
let x = 36
y = 9
x2 = 100
y2 = y2
y : x :: y2 : x2
We know,
Product of means = Product of extremes
That is,
y(x2) = x(y2)
Substituting the values,
9(100) = 36(y2)
=> 36(y2) = 900
=> y2 = 900/36
=> y2 = 25
so when x = 100, y =25
Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
Which unit is the best for measuring the distance between two cities?
O gram
O kilogram
O centimeter
O kilometer
The best unit for measuring the distance between two cities is kilometer.
9. Select one of the factors of 3x + 4x -4.
(x+4)
b. (3x+2)
a.
c.
(3x-2)
a (x-2)
Answer:
hi
Step-by-step explanation:
mad
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
pls answer maheshsinghmeenu sister
Answer:
(a+b+c) (x+y+z)
Step-by-step explanation:
hope this helps to uh
Step-by-step explanation:
x+y+z+bx+by+bz+cx+cy+cz
Take Like terms
x+bx+cx+y+by+cy+z+bz+cz
x(b+c)+y(b+c)+z(b+c)
(x+y+z)(b+c)
hope it helps
please help
answer choices are:
A. 46°
B. 67°
C. 115°
D. 134°
Answer:
134°
Step-by-step explanation:
∠BAC = ∠BCA because it is an isosceles triangle
∠XCA = ∠XAC . Congruent angles
∠XAC = 1/2(46) = 23° . because CE bisects ∠ C
∠XCA = 23°
180° - 23° - 23° = 134° . Sum of all angles in a triangle is 180°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A cell phone company charges $300 for a new phone and $40 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
R: ℝ
R: (0, 300)
R: (40, 340)
R: (–∞, ∞)
Answer:
The $300 charge will last until the new phone is paid off. After that the monthly charge will be $40 only.
The range of the function will be between $40 and $340:
R:[40, 340]Correct choice is C
Now
[tex]\\ \rm\hookrightarrow \mathbb{R}=(x,y)[/tex]
[tex]\\ \rm\hookrightarrow \mathbb{R}=(40,300)[/tex]