Answer:
[tex]-1\leq x<\infty[/tex]
Step-by-step explanation:
We want to convert the interval [-1, ∞) to inequality notation using x as the variable.
The interval [-1, ∞) reads: "All real numbers between -1 and positive infinity."
In other words, it is all numbers greater than or equal to -1 and less than positive infinity.
Therefore:
[tex]-1\leq x<\infty[/tex]
Note that we do not use "or equal to" for the infinity as we can never really "equal" infinity.
Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
The question is incomplete. The complete question is :
Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
Answer:
67.5 [tex]mm^3[/tex]
Step-by-step explanation:
Given that :
Cylinder A and cylinder B are similar.
Let volume of cylinder A = 20 [tex]mm^3[/tex]
We know the volume of a cylinder is given by V = [tex]$\pi r^2 h$[/tex]
where, r is the radius of the cylinder
h is the height of the cylinder
We have to find the scale factor.
The length scale factor is = [tex]$\frac{6}{4}$[/tex]
[tex]$=\frac{3}{2}$[/tex]
Area scale factor [tex]$=\left(\frac{3}{2}\right)^2$[/tex]
[tex]$=\frac{9}{4}$[/tex]
∴ Volume scale factor [tex]$=\left(\frac{3}{2}\right)^3$[/tex]
[tex]$=\frac{27}{8}$[/tex]
Therefore, the volume of cylinder B is [tex]$=20 \times \frac{27}{8}$[/tex]
= 67.5 [tex]mm^3[/tex]
pls help me in these questions
Answer:
1=85
2=10
3=108
Step-by-step explanation:
Number 1: Calculate each angle...and you know a straight line is 180°. N the interior sum of a quadrilateral is always 360°.
Number2: Use corresponding, alternate and interior angles method. It will help
Number 3: It's just about solving the interior sum of the pentagon
Answer:
2. 10 degrees
3. 108 degrees
Step-by-step explanation:
sorry I reposted it because the previous answer was deleted and plz mark me as a brainliest.
resolver:
[5+(-3+6)+(-2)]-[(-4+10)+(-3)-(-5)]
What is the volume of the pyramid?
Answer:
[tex]volume=1/3 ~BH[/tex]
[tex]=1/3(16)^{2} \sqrt{17^{2} -8^{2} }[/tex]
[tex]=1/3\times256\times15[/tex]
[tex]=1280 ~ft^{3}[/tex]
------------------------
hope it helps...
have a great day!!
On Monday, 405 students went on a trip to the zoo. All 7 buses were filled and 6 students had to travel in cars. How many students were in each bus
Answer:
57 students
Step-by-step explanation:
Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.
Then, divide that by 7, and you get the answer. 57.
Hope it helps!
Answer:
57 students
Step-by-step explanation:
405-6=399
399÷7=57
HELPPP IM ALMOST DONE WITH THIS CLASS
Explanation:
Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.
We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.
Since T = pi is the period, we then know that
B = (2pi)/T
B = (2pi)/(pi)
B = 2
Then recall that the general template is y = Acos(B(x-C))+D
In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)
Help Please if you don’t mind
Answer:
trinomial = 5x
GCF = 2x(x + 5) + 5(x + 5)
Step-by-step explanation:
2x^2 + 15x + 25
using middle term break method
2x^2 + (10 + 5)x + 25
2x^2 + 10x + 5x + 25
therefore trinomial = 2x^2 + 10x + 5x + 25
GCF(Greatest Common Factor) = 2x^2 + 10x + 5x + 25
=2x(x + 5) + 5(x + 5)
take (x + 5 ) as common
(x + 5)(2x + 5)
(x + 5)(5 + 2x)since the sign of 5 and 2x is same i.e plus sign u can change their place.
c) What should be subtracted from 5m - 3n to get 2m + 5n?
What she hechosomoce 2-59
Answer:
3m-8n
Step-by-step explanation:
Set up an equation:
(5m-3n)-(2m+5n) = ?
Solve:
5m-3n
- 2m+5n
3m-8n
Hope this helps!
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
In how many ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to their sibling
Answer:
1,968
Step-by-step explanation:
Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;
Set X represent the set where the siblings x₁ and x₂ sit together
Set Y represent the set where the siblings y₁ and y₂ sit together
Set Z represent the set where the siblings z₁ and z₂ sit together
We have;
Where the three siblings don't sit together given as [tex]X^c[/tex]∩[tex]Y^c[/tex]∩[tex]Z^c[/tex]
By set theory, we have;
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = [tex]\left | X^c \cup Y^c \cup Z^c \right |[/tex] = [tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex]
[tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex] = [tex]\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]
Therefore;
[tex]\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]
Where;
[tex]\left | U\right |[/tex] = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!
[tex]\left | X\right |[/tex] = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | Y\right |[/tex] = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | Z\right |[/tex] = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | X \cap Y\right |[/tex] = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | X \cap Z\right |[/tex] = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | Y \cap Z\right |[/tex] = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | X \cap Y \cap Z\right |[/tex] = The number of ways x₁ and x₂, y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!
Therefore, we get;
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 5,040 - 3072 = 1,968
The number of ways where the three siblings don't sit together given as [tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 1,968
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
Answer:
commutative property of addition.
a sequence of additions can be done in any order and the total remains the same.
Step-by-step explanation:
so, we can actually do
27 + 3 + 15 + 5
and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.
Pls help before the clock hits 50 :(
Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0
Answer:
-6
Step-by-step explanation:
In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?
Answer:
14 units is the answer
Step-by-step explanation:
^_^^_^^_^^_^^_^
I need help on my math!!!!!!!
Answer:
(b) 30.25 feet
Step-by-step explanation:
Given
[tex]v = \sqrt{64h[/tex]
Required
Find [tex]h[/tex] when [tex]v = 44[/tex]
Substitute [tex]v = 44[/tex] in [tex]v = \sqrt{64h[/tex]
[tex]44 = \sqrt{64h[/tex]
Take square of both sides
[tex]44^2 = 64h[/tex]
[tex]1936 = 64h[/tex]
Divide both sides by 64
[tex]30.25 = h[/tex]
Rewrite as:
[tex]h = 30.25[/tex]
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.
Given: SAS
Answer:
please I don't know can u please help me out
Answer:
The answer to your question where SAS is given
∠T ≈∠ W
Evaluate i^15 i^12
Show work
Answer: 15 = -i & 12=1
use the pattern : i, -1, -i, 1
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex]
[tex]i^{3}[/tex] = [tex]\sqrt{-1}[/tex]
[tex]i^{4}[/tex] = [tex]\sqrt{-1}[/tex]
the pattern just repeats from here
5 = i
6 = -1
7 = -i
8 = 1
9 = i
10 = -1
11 = -i
12 = 1
13 = i
14 = -1
15 = -i
16 = 1
A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows a six or the green die
shows a six?
Answer:
2/12
Step-by-step explanation:
The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth
All functions have a domain and a range.
True
False
Answer:
True
Step-by-step explanation:
The definition of the function is a relation with exactly one x for each y. x is the domain, and y is the range, so all functions have a domain and a range.
5^4x+3 ×100^-2x+1=50000
Answer:
5^4x+3 ×100^-2x+1=50000
5^4x×100^-2x=49996
isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 8 √ 12499 , Decimal Form: x = 894.39141319 …
1. Can cross multiplication be used to solve this problem? Why or why not?
HELP
Answer:
Step-by-step explanation:
Cross multiplication can be used but not in the beginning. First x should be isolated.
[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]
Now subtract [tex]\frac{5}{x}[/tex] from both sides
[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]
In this stage, cross multiplication can be used.
[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]
Answer:
x =0 and x =2/3
Step-by-step explanation:
as is no
but if you put an x under the 3 to make 3x/x
then you'd have 3x+5/x = 7/x
to make
3x^2 + 5x = 7x
this makes
3x^2 -2x =0
using the quadratic formula
answers
x =0 and x =2/3
A 0.25 mL sample of water drawn from a 5 liter flask contains 1.25 x 10^8 bacteria. Give the approximate number of bacteria in the flask, expressing your answer in scientific notation.
(Scientific Notation: find a real number a between 1 and 10, and an integer n, such that x = a x 10^n.)
Answer:
The number of bacteria in 0.25 mL is 6.25 x 10^3.
Step-by-step explanation:
5 liter flask contains 1.25 x 10^8 bacteria.
So, 1liter flask contains = [tex]\frac{1.25 \times 10^8}{5} =2.5\times 10^7[/tex]
Now
0.25 mL contains = [tex]2.5\times 10^7 \times0.25\times 10^{-3} = 6.25\times 10^3[/tex]
The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4
Answer:
[tex]q=8.5[/tex]
Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;
[tex]\frac{AB}{BC}=\frac{3}{4}[/tex]
Substitute,
[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]
Cross products,
[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]
[tex](60)(4)=(10q+15)(3)\\\\240=30q+45[/tex]
Inverse operations,
[tex]240=30q+45\\\\195=30q\\\\8.5=q[/tex]
CAN SOMEBODY PLEASE HELP MEEEE
Answer:
105.
Step-by-step explanation:
.
Guys I need help!!!
Is (1, 4) a solution to the equation y = 8x − 4?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)FunctionsStep-by-step explanation:
Step 1: Define
Identify
Point (1, 4)
y = 8x - 4
Step 2: Find
Substitute in point [Equation]: 4 = 8(1) - 4Multiply: 4 = 8 - 4Subtract: 4 = 4yes.
you just have to check like this: 1 is x and 4 is y.
4 = 8(1) - 4
4 = 8 - 4
4 = 4
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
The area of a rectangle is 35ft^2 , and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.
Answer:
1228 is your answer
Step-by-step explanation:
How many pairs of intersecting line segments are shown?
A. 4
B. 8
C. 16
D. 24
Answer:
I believe the answer is 24.
Step-by-step explanation:
hope it helps.
Which of the following is a radical equation
Answer:
7[tex]\sqrt{x}[/tex] = 14, D
Step-by-step explanation:
A radical equation is defined by having a variable under a radical sign. This is the only option with a variable (x) under the radical sign. Hence, 7[tex]\sqrt{x}[/tex] = 14 is the correct option.
BRAINlIEST FOR CORRECT ANSWER
Answer:
ok
Step-by-step explanation:
mark me the brainlieast since your question is incomplete
Suppose that X1 and X2 are independent random variables each with a mean μ and a variance σ^2. Compute the mean and variance of Y = 3X1 + X2.
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²