Answer:
[tex]\pi[/tex]
Step-by-step explanation:
If a number can be written as an integer/integer in a fraction form or in a decimal form as a terminating or repeating decimal, it is rational. An integer is a set up numbers that fall into this pattern:
...-3,-2,-1,0,1,2,3...
0.16 is a terminating decimal or 16/100 as a fraction.
2.53 is a terminating decimal or 253/100
-1/5 can be written as a decimal at -0.2 and it terminating.
i need help with the decimal sequences pls
-
Given f(x)=x³ + 2x² – 3x −6, what is f(−2)?
Step-by-step explanation:
f(x) = x³ + 2x² - 3x - 6
f(-2) = (-2)³ + 2(-2)² - 3(-2) - 6
= -8 + 8 + 6 - 6
= 0
Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.
The population density in country A is 113 people per square mile while in country B, it is 605 people per square mile.
Select one:
O a. Absolute difference: -492 people per square mile
Relative difference: -81.3%
O b. Absolute difference: 492 people per square mile
Relative difference: 435.4%
O c. Absolute difference: -492 people per square mile
Relative difference: -435.4%
O d. Absolute difference: -492 people per square mile
Relative difference: -8.1%
Answer:
B
I don't know how all the answers are B's
Give me brainliest answer.
I hope I could help.
what expressions are equivalent to 2(3/4x+7)-3(1/2x-5)
The equivalent expression is 15x + 104 /4
What are algebraic expressions?Algebraic expressions are defined as expressions comprised of constants, variables, terms, coefficients and factors.
They are also made up of arithmetic or mathematical operations such as;
AdditionSubtractionDivisionMultiplicationBracket, etcGiven the expression:
2(3/4x+7) - 3(1/2x-5)
solve for the bracket
3 ( 3x + 28/4) - 3 (x - 10 /2)
expand the bracket by multiplying
9x + 84 / 4 + 3x + 10/ 2
Find the lowest common multiple
9x + 84 + 6x + 20 /4
collect like terms
15x + 104 /4
Thus, the equivalent expression is 15x + 104 /4
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x2 =144 if and only if x =12 or x = -12
Answer:
x = 12
Step-by-step explanation:
brainliest
Find the Distance between -7 and 9 on the real number line.
Answer:
16
Step-by-step explanation:
-7 to 9 is 16 because just doing 9 + 7 is 16.
Please help! Will give 60 points!
Answer:
a) 28
Step-by-step explanation:
Given information,
→ w = 5
→ x = 9
→ y = 2
The given expression is,
→ x + 20 - 1
Let's solve the expression,
→ x + 20 - 1
→ 9 + 20 - 1
→ 29 - 1
→ 28
Hence, the answer is 28.
Find C in degrees. B = 51° b = 9 C = 4 C = [?] degrees Round to the nearest tenth.
By applying the law of sines, the value of angle C to the nearest tenth is equal to 20.2 degrees.
The types of triangle.In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;
Equilateral triangleObtuse triangleScalene triangleIsosceles triangleRight-angled triangleWhat is the law of sines?In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
Mathematically, the law of sines is given by this equation:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
Substituting the parameters into the formula, we have;
sin51/9 = sinC/4
Cross-multiplying, we have:
4sin51 = 9sinC
sinC = 4sin51/9
sinC = (4 × 0.7772)/9
sinC = 3.1088/9
sinC = 0.4
C = sin⁻¹(0.3454)
C = 20.2 degrees.
In conclusion, we can logically deduce that the value of angle C is equal to 20.2 degrees.
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A triangular prism is 19 centimeters long. It has a triangular face with a height of 14 centimeters. The volume of the prism is 2,354. 1 cubic centimeters. What is the base of its triangular face?
The base of its triangular face of the triangular prism is found as 17.7 cm.
What is defined as the triangular prism?A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism. It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.The formula for the volume of triangular prism is;
Volume = base area x length
The base area of the triangular base.
The area of the triangle = 1/2 base×height
The given values are-
volume = 2,354. 1 cubic centimeters.length = 19 cmheight = 14 cm.Thus, volume = base area x length
volume = 1/2 base × height × length
base = 2v/(height × length)
Put the values;
base = 2×2,354.1/(14 × 19)
base = 4708.2/(14 × 19)
base = 17.7 cm
Thus, the base of the triangular prism is found as 17.7 cm.
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the art class has blue cloth that is 60 inches long, gold cloth that is 48 inches long, and white cloth that is 72 inches long. they want to cut all the cloth into pieces of equal length for a project. what is the greatest possible length of the pieces without having any cloth left over
Answer:
Solution:
So answer is 12 inches
367.77642 rounded to the nearest hundredth
Answer:
400
Step-by-step explanation:
if the number was bellow 350 it would be 300 but it's not so 400 is correct
Answer: 367.78
Step-by-step explanation:
hundreds = 3
tens = 6
ones = 7
(DECIMAL PLACE) = .tenths = 7hundredths = 7
thousandths = 6
ten thousandths = 4
hundred thousandths = 2
367.776 [the 7 would round up to an 8]
367.78
Mahad had no marbles, so Sara gave ⅓ of her marbles to Mahad. How many marbles does Mahad have?
What is missing from this problem for you to solve it?
Your answer:
The missing part from this problem for you to solve it is that the total marbles Sara had.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that Mahad had no marbles, so Sara gave ⅓ of her marbles to Mahad.
Here we can see that this problem cannot be solved due to a lack of information. we need the total marbles Sara had.
If we are given the total marbles Sara had, then we can just simply divide the amount by the denominator.
Therefore, the missing part from this problem for you to solve it is that the total marbles Sara had.
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IF THERE IS A COEFFICIENT, MULTIPLY THE WHOLE NUMBERS
Answer:
15 rt2
56 rt2
15 rt3
9 rt5
Step-by-step explanation:
[tex]3\sqrt{50} =3\sqrt{5*5*2} =3*5\sqrt{2} =15\sqrt{2}[/tex]
[tex]8\sqrt{98} =8\sqrt{2*7*7} =8*7\sqrt{2} =56\sqrt{2}[/tex]
[tex]5\sqrt{27} =5\sqrt{3*3*3} =5*3\sqrt{3} =15\sqrt{3}[/tex]
[tex]3\sqrt{45}=3 \sqrt{5*3*3} =3*3\sqrt{5} =9\sqrt{5}[/tex]
A person has a bag containing quarters and dimes. There are a total of 185 coins in the bag, and the total value of the coins is $26.75.
Step-by-step explanation:
and ... ? what do we need to do ?
I guess finding the number of quarters and dimes.
x = number of quarters
y = number of dimes
x + y = 185
x = 185 - y
0.25×x + 0.1×y = 26.75
after all, a quarter has a value of $0.25, and a dime of $0.10.
let's use the identity of the first equation in the second equation :
0.25×(185 - y) + 0.1×y = 26.75
to make is simpler to see let's multiply the whole thing by 100 :
25×(185 - y) + 10y = 2675
4625 - 25y + 10y = 2675
4625 - 15y = 2675
1950 = 15y
y = 130
x = 185 - y = 185 - 130 = 55
there are 55 quarters and 130 dimes in the bag.
I learned this years ago but I lowkey forgot how to do it
a. 1.33
b. 1.10
c. 1.41
d. 1.06
Answer:
1.33
step by step explanation
What is the answer and the steps for 1-3?
Answer:
Step-by-step explanation:
Background: f(x) is the same thing as y but represents the value of x in parentheses.
Ej: f(2)=3x+2, this solution would be "8" because the value in the parentheses represents the value of x. (if the parentheses have an "x" then the value of x is unknown.
1.
f(x)=5x+8 g(x)=(x-8)/5
f(g(x))=?, 5((x-8)/5)+8
f(g(x))=x-8+8
f(g(x))=x
g(f(x))=5x+8-8/5
g(f(x))=5x/5
g(f(x))=x
g(f(x))=f(g(x)) because they both equal x proving they are inverses
Sorry, I don't have time to answer the rest of the steps (I will give the answers to check the work).
All of them are x=x because they are all inverse functions.
Alina is stocking up on energy drinks to stay alert while studying for exams. The store sells energy drinks in 4-packs for $11.60. They will also sell single drinks for
1
4
1
4
the cost of a 4-pack. How many energy drinks can she buy for $84.10?
Fill in this table first, then use the table to answer the question.
given 8x+4y=16 solve for y
Jessica makes $24000 a year but receives weekly paychecks. if 12% of her checks is withheld for federal taxes what, what is her required weekly deduction including FICA
2.4 (x - 6) = 0.4 (x + 8) + 12
Answer: x = ?
Please give an answer WITH step by step to receive brainlist and 100 points. If only an answer is given with no explanation it will be reported.
Thank you!
The solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is x = 14.8
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to solve the linear equation?The linear equation is given as
2.4 (x - 6) = 0.4 (x + 8) + 12
Open the brackets
So, we have
2.4x - 14.4 = 0.4x + 3.2 + 12
Collect the like terms in the above expression
So, we have
2.4x - 0.4x = 14.4 + 3.2 + 12
Evaluate the like terms in the above expression
So, we have
2.0x = 29.6
Evaluate the quotient in the above expression
So, we have
x = 14.8
Hence the solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is x = 14.8
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Does anyone know the answer to |3x-2|=19
[tex]3x - 2 = 19 \\ 3x = 19 +2 \\ x = \frac{21}{3} \\ x = 7 [/tex]
8. The floor of a rectangular meeting
room has a raised platform that is the
same length as the room. The whole
room has an area of 461 square yards.
Raised Platform
TS
7 yards
22/2
Part A
What is the total width of the room?
Write an equation to model your work.
70476/133
704
15
2
Part B
45
Suppose the area of the platform is
73 square yards. What fraction of the
entire floor is the raised platform?
Write an equation to show your work
The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
A) Given the area of room = 46 14/15 = 704/15
Area = Width × Length
W × 7 1/3 = 704/15
W × 22/3 = 704/15
W = 704/15 × 3/22
W = 6.4
B ) Given the area of the platform as 7 37/45 = 352/45
Area of total room = 704/15
Fraction of raised platform area to the total area = (352/45) / (704/15)
⇒ (352/45) × 15/704
⇒ 352/2112 = 1/6
Hence "The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6".
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. Find the sum of the sequence.
31 +32 +33 +34 + ... + 122
Answer: 252
Step-by-step explanation:
is company name, state and age a categorical variable?
Answer:
yes
Step-by-step explanation:
you can classify people into categories by name, state, and age. Hope this helps!
if you find 80% of a number, do you expect the answer to be greater or less than the number? what is you find 120% expalin your answer
When 80% of a number is found then the answer will be less than the number. 120% of a number will be greater than the number.
How to find 80% of a number?In order to find 80% of a number, you simply multiply the number by 80/100 .
When you find 80% of a number, the answer would be less than the number because all percentages less than 100% of a number would be less than the number.
For instance, 80% of 5 is:
= 80/100 x 5
= 4
All percentages more than 100 would be greater than the number which means that 120% would be greater. For instance:
= 120% x 5
= 6
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(4x² - 9)(3x² + 4x) = 0
Answer:
The answer is in the attached screenshot.
The function f(x) = 100 + 0.75(x - 50) can be used to determine the cost in dollars for printing x, t-shirts.
What is the rate of change of the cost in dollars with respect to the number of t-shirts printed?
$0.75
$50
$100
-$50
Answer:
$0.75
Step-by-step explanation:
Since f(x) is linear, the rate of change is is the coefficient of x
HELP, URGENT! 18 points+brainliest
Use the inequality to answer Parts 1-3.
−3(x−2)≤[tex]\frac{1}{3}[/tex]
Part 1: Solve the inequality. Leave answer in terms of a whole number or reduced improper fraction.
Part 2: Write a verbal statement describing the solution to the inequality.
Part 3: Verify your solution to the inequality using two elements of the solution set.
The solution to the given inequality -3(x - 2) ≤ 1/3 is x ≤ 17/9
How to solve inequality-3(x - 2) ≤ 1/3
open parenthesis-3x + 6 ≤ 1/3
collect like terms-3x ≤ 1/3 - 6
-3x ≤ (1-18) / 3
-3x ≤ -17/3
divide both sides by -3x ≤ -17 /3 ÷ -3
x ≤ -17/3 × 1/-3
x ≤ -17/-9
x ≤ 17/9
A verbal statement describing the solution to the inequality is x is less than equal to 17 over 9
Verifying the solution of the inequality:
-3(x - 2) ≤ 1/3
-3x + 6 ≤ 1/3
-3(17/9) + 6 ≤ 1/3
-51/9 + 6 ≤ 1/3
(-51+54) / 9 ≤ 1/3
3/9 ≤ 1/3
1/3 ≤ 1/3
Therefore, the -3(x - 2) ≤ 1/3 to the inequality -3(x - 2) ≤ 1/3 in verbal statement is x is less than equal to 17 over 9.
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pls help my earlier question was deleted
Based on the given equation, the solution to x is -32.
What is x?The formula given is:
x / -2² = 4 (-2)
To solve for x, solve for the exponents:
x / -2² = 4 (-2)
x / 4 = 4 (-2)
Then solve the brackets:
x / 4 = 4 (-2)
x / 4 = -8
Then solve for x:
x / 4 = -8
x = -8 x 4
x = -32
In conclusion, based on the equation of x given, the value of x can be found to be -32.
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subtracting linear expressions
6. B. 2x + 6
7. A. 4x + 5
8. B. 3x + 10
9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.