Answers
2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
Related Questions
PLEASE HELP ASAP WILL GIVE BRAINLIST 11!
The approximate weights of two animals are 5.36 x 10^4 lbs. and 6.2 x 10^4 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.
12 x 10^4 lbs.
5.9 x 10^4 lbs.
1.22 x 10^5 lbs.
1.2 x 10^5 lbs.
Answers
1. 120,000 lbs
2. 59,000 lbs
3. 122,000 lbs
4. 120,000 lbs
Answer: 1.156 × 10^5
Step-by-step explanation:
5.36 x 10^4
6.2 x 10^4
5.36+6.2=11.56
11.56 x 10^4 = 1.156 × 10^5 (scientific notation)
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.
Answers
Answer:
8.6
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]
Define the points:
[tex]\textsf{Let}\:(x_1,y_1)=(0,0)[/tex][tex]\textsf{Let}\:(x_2,y_2)=(7,5)[/tex]Substitute the defined points into the formula:
[tex]\implies d=\sqrt{(7-0)^2+(5-0)^2}[/tex]
[tex]\implies d=\sqrt{7^2+5^2}[/tex]
[tex]\implies d=\sqrt{49+25}[/tex]
[tex]\implies d=\sqrt{74}[/tex]
[tex]\implies d=8.6\;\;\sf (nearest\: tenth)[/tex]
Therefore, the length of one of the diagonals of the rectangle is 8.6.
Write the following expression using a single exponent.
5^0 x 5^5
Answers
Way 1: because if 2^a*2^b then it equals 2^(a+b) making sure that the bases are equal meaning 2
Another way: 5^0 equals one because anything raised to the power zero is one so it literally just says 5^5*1 which equals 5^5
36. THOUGHT PROVOKING
Draw a different figure that
has the same perimeter as
the triangle shown. Explain
why your figure has the
same perimeter.
x+3
3x
2x + 1
Answers
A possible figure that has the same perimeter as the given triangle is a rectangle with side lengths, x + 1, x + 1, 2•x + 1, 2•x + 1
Please find attached the drawing of the figure of the rectangle, that has the same perimeter (6•x + 3) as the triangleHow can the perimeter of the triangle be calculated?The perimeter of a two dimensional geometric figure is its total boundary length.
The perimeter is given by the addition of the lengths of all the sides of the figure.
The perimeter, P, of the given triangle is therefore;
P = x + 3 + 2•x + 1 + 3•x = 6•x + 3
The perimeter, P = 6•x + 3
A different figure, drawn, that has the same perimeter as the given triangle (6•x + 3) is a rectangle that has side lengths of x + 1, 2•x + 1, x + 1, and 2•x + 1.
Please find attached the drawing of a rectangle that has a perimeter of 6•x + 3, which is the same as the perimeter of the triangle.
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Given that f(x)=2x^2-4x+5 determine if the graph is a maximum or minimum
Answers
The graph of f(x) = 2x^2 - 4x + 5 is a minimum
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine if the graph is a maximum or minimum?The equation of the function is given as
f(x) = 2x^2 - 4x + 5
The above equation is a quadratic equation.
A quadratic equation is represented as:
f(x) = ax^2 + bx + c
By comparison, we have
a = 2
b =-4
c = 5
If the value of a is positive, the graph is a maximum.
Since the value of a is 2, then it means that the graph is a minimum
Hence, the graph of f(x) = 2x^2 - 4x + 5 is a minimum
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13. Higher Order Thinking Olivia has $20 to spend. She wants to buy a visor and magnet. The sales tax is $2.21. 1. Use estimation to find out if Olivia has enough money for her purchase. 2. Explain how to find the exact amount of change she will receive. 3. Find the exact amount of change. Show your work.
Answers
Answer:
Step-by-step explanation:
$20-$2.21=0.21
what is the range of h
Answers
Answer:
B
Step-by-step explanation:
h(x) is a discrete function, so its domain and range only contain individual points.
h(x) contains the points (-5, -2), (-4, 2), (0, 6), (2, -4), and (4, 4)
Look at the y-coordinates: -2, 2, 6, -4, 4
Arrange them in order: -4, -2, 2, 4, 6 ==> B
7) If a = 2, b = 3, c = 4, and d = 12, evaluate 6c-4b
Answers
Answer:
12
Step-by-step explanation:
Step1:- substitute the values of a and b in the equation
6(4)-4(3)
Step2:- solve the expression
6(4)=6×4=24
4(3)=4×3=12
so 6(4)-4(3)=24-12= 12
Solve this volume based this question brainliest! brainliest! 50 points.
Answers
The volumes of the cylinder and cone are calculated using a radius r to give;
The volume of the cylinder and cone combined is (8/3)•π•r³ How can the volumes of the solid figures be calculated?The radius of cylinder = r
Height of the cylinder = 2•r
Radius of cone = r
Height of the cone = 2•r
Volume of the cylinder, Vc = π•r²•(2•r) = 2•π•r³
Volume of the cone, Vco == (1/3)•π•r²•(2•r)
Which gives; Vco == (2/3)•π•r³
The combined volume is therefore;
V = Vc + Vco = 2•π•r³ + (2/3)•π•r³ = (8/3)•π•r³
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X
What is the missing number 7 + = 15 - 4
Answers
Answer:4
Step-by-step explanation:
7+4=11
15-4=11
Choose all expressions that are equal to 16.02. #1 16 +0.02, #2 3.42 +8+4.6, #3 16.01 +1, #4 12.06 +3.14, #5 7.36 +8.66
Answers
Expression number #1, #2 and #5 are equal to 16.02 in the given question.
As per the question statement, we have to choose all expressions that are equal to 16.02
The options are
[tex]16+0.02[/tex][tex]3.42+8+4.6[/tex][tex]16.01 +1[/tex][tex]12.06+3.14[/tex][tex]7.36+8.66[/tex]Lets verify #1
[tex]16+0.02 = 16.02[/tex]
Hence verified.
Lets verify #2
[tex]3.42+8+4.6=16.02[/tex]
Hence verified
#3
[tex]16.01+1=17.01\neq 16.02[/tex]
#4
[tex]12.06+3.14=15.2\neq 16.02[/tex]
#5
[tex]7.36 +8.66=16.02[/tex]
Hence verified
Therefore from the above, conclusion can be made that Expression number #1, #2 and #5 are equal to 16.02 in the given question.
Algebraic expressions: In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)To learn more about number system, click on the link given below:
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Use the graph to fill in the blank with the correct number. f(0) = ________ X, Y graph. Plotted points negative 3, 0, negative 2, 2, 0, 1, and 1, negative 2. Numerical Answers Expected! Answer for Blank 1:
Answers
Hello, :)
Points are (-3,0) , (-2,2), (0,1) and (1,2)
f(0)=1
Find the missing number.
Number of toffees
2
Your answer
4
6
8
Number of children
12
X
36
48
5 points
Answers
Answer:
24
Step-by-step explanation:
Each no. of toffee is multiplied by 6 to get the no. of children to have a toffee.
Write 7.83 x 10-3 in standard notation
Answers
Answer:
0.00783
Step-by-step explanation:
7.83 × 10^-3
Move the decimal point 3 places to the left.
7.83 × 10^-3 = 0.00783
I am thinking of a decimal number less than one. The hundredths digit is four times more than the tenths digit. The sun of the tenths and hundredths digit is 10. What number am I thinking of?
Answers
Answer:
The number would be 0.28.
here, in tenths position is 2 and in hundredths position is 8.
so, 8 = 4 x 2
and 8 + 2 = 10.
A marine biologist collects coral species from the bottom of a coral reef. The biologist swims to depths of 314 meters, 258 meters, and 412 meters below sea level.
A scuba diver holding a speciment on coral is shown.
Question 1
Part A
Represent these depths as rational numbers, in order from shallowest to deepest.
Part B
Graph these depths and their opposites on the number line.
Answers
Answer:
PA The biologist swims to depths of 3 1/4 meters. 2 5/8 meters, and 4 1/2 meters below sea level.
Order the well depths from deepest to shallowest. Strategy. Write the depths as negative numbers . Compare the negative numbers .
Step-by-step explanation:
T
Introduction to permutations and combinations
Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.
(a) How many ways can this be done, if the order of the choices is relevant?
0
(b) How many ways can this be done, if the order of the choices is not relevant?
0
X
Answers
we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.
We are given four letters:
A, B, C and D
We need to choose 3 letters from it without replacement.
(a) If the order of choices matter, then there would only be 1 way to choose the letters.
(b) If the order of choices do not matter , then by permutation, we get that:
The number of ways of choosing = 4 × 3 × 2
Ways = 24 ways.
Therefore, we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.
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Find m
A)36
B)80
C)56
D)44
E)124
Answers
Answer:
44
Step-by-step explanation:
vertical angles
What is -(9) fourth power
Answers
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
[tex]-9^4 = -9 \times -9 \times -9 \times -9 = -6561[/tex]
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▀▄▀▄▀ █▀█ █▀█ ░█░ ▄█ █▄ ░▀░ █▄ ░▄
Answers
Answer: 54
Step-by-step explanation:
52 + 2 = 54
6 + 4|2x + 6| = 14
Solve for x
Answers
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
-16 x 3/4 =
A. -12
B. 1/2
C. -1/12
D. 12
Answers
A.-12
-16 * 3/4
-48/4
-12
There are 63 students going on the trip, and you want to divide them up between 15 chaperones with 4 or 5 students in each group. How many groups will have 4 students, and how many will have 5?
Answers
There are 12 groups with 4 students and 3 groups with 5 students
How many groups will have 4 students, and how many will have 5?Represent the students as follows:
Group with 4 students = x
Group with 5 students = y
So, we have the following system of equations
4x + 5y = 63
x + y = 15
Make x the subject in x + y = 15
x = 15 - y
Substitute x = 15 - y in 4x + 5y = 63
4(15 - y) + 5y = 63
Expand
60 - 4y + 5y = 63
Evaluate
y = 3
Substitute y = 3 in x = 15 - y
x = 15 - 3
This gives
x = 12
Hence, there are 12 groups with 4 students and 3 groups with 5 students
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61% of 407 estimates using a rate per 100
Answers
The 61% of 407 estimates 248. 27
What is percentage?
Percentage can be defined as the ratio of a number to 100
Example;
The percentage of 55 is expressed as;
= 55/ 100
From the information given, we have to determine 61% of 407
This is expressed as;
= 61/ 100 × 407
= 0. 61 × 407
= 248. 27
Thus, the 61% of 407 estimates 248. 27
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How can you increase your efficiency in solving mathematical problems?
Answers
Answer:
Solving Math equations helps work on the left side of your brain which is in charge of receiving information. Whether you’re performing a logical or creative function, you’re receiving input from both sides of your brain. For example, the left brain is credited with language, but the right brain helps you understand context and tone. The left brain handles mathematical equations, but the right side of the brain helps out with comparisons and rough estimates.
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A sole proprietorship that began business on May 1, 2021, incurred $7,500 of start-up expenses. If the business elects to report the maximum amount of start-up costs as a current expense, what is the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business?
$0
$111
$167
$333
Answers
Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.
What is the amortization amount?Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.
The amount to be amortized is therefore:
= 7,500 - 5,000
= $2,500
The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.
The amortization amount is:
= (2,500 x 8 months) / ( 15 x 12 months a year)
= $111
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6. Solve the inequality.
-10 ≤ 2x-4<8
о
-8
-3
-3≤x<6
-1
Answers
Answer:
Step-by-step explanation:
Thor travels 49 miles per hour. How long does it take him to travel 294 miles? Your answer should be in Miles, accurate to at least the nearest tenth.
Answers
Answer: I think it's 6 hours. If you do 294 divided by 49 which will give you 6 which means you traveled 294 miles in 6 hours.
It's possible to build a triangle with side lengths of 3,3,and 9
Answers
It's not possible to build a triangle with side lengths of 3,3,and 9.
How to illustrate the information?It should be noted that to compute a triangle, the addition of the shortest sides must be longer than the longest side.
In this case, 3 + 3 = 6
But the longest side is 9 and it's longer than 6.
Therefore, it's not possible to build a triangle with side lengths of 3,3,and 9.
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It's possible to build a triangle with side lengths of 3,3,and 9
True or false?(2ax2a)+(3bx3b)-(2x2ax3b)
Answers
Step- by-step
(2a*2a)+(3b*3b)-(2*2a*3b)
Remove parenthese
2a(2a) + 3b(3b) - (2(2a) (3b))
4a^2 + 9b^2 - (4a•(3b))
4a^2 + 9b^2 - 12ab