Answer:
look at the explanation below
Step-by-step explanation:
The cube root of a number can be determined by using the prime factorization method. In order to find the cube root of a number:
Step 1: Start with the prime factorization of the given number.
Step 2: Then, divide the factors obtained into groups containing the same factors.
Step 3: After that, remove the cube root symbol and multiply the factors to get the answer. If there is any factor left that cannot be divided equally into groups of three, that means the given number not a perfect cube and we cannot find the cube root of that number
i hope this helps
n divided by 6 equals 42 please explain
The value of n when is divided by 6 and it gives 42 is 252
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division and 12 divided by 4 gives 3 in each group. This means that 3 and 4 are factors of 12
When dividing a number by another number that is not it's factor, there will be remainder for example 12 divided by 5 . It will give 2 remainder 2. This is because 5 is not a factor of 12.
Similarly, n divided by 6 to give 42. This means that 42 and 6 are factors of n
Therefore to find n we multiply 42 and 6.
n = 42×6
n = 252
therefore the value of n is 252
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∠A and \angle B∠B are complementary angles. If \text{m}\angle A=(2x-13)^{\circ}m∠A=(2x−13)
∘
and \text{m}\angle B=(2x+7)^{\circ}m∠B=(2x+7)
∘
, then find the measure of \angle A∠A.
The measure of ∠A is 29.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Given that,
m∠A = (2x−13)° and m∠B = (2x+ 7)° and ∠A and ∠B are complementary angles.
Therefore
m∠A + m∠B = 90°
(2x−13)° + (2x+ 7)° = 90°
4x + 6 =90
Subtract 6 from both sides:
4x = 84
Divide both sides by 4:
x = 21
Putting x = 21 in m∠A = (2x−13)°:
m∠A = (2 × 21−13)°
m∠A = 29°
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identify the measure of angle X:
Since the line is linear, the sum of the angles should be 180 degrees
x + 28 + 73 = 180
x = 180 - 28 - 73
x = 79 degrees
Hope this helped :)
please solve for x
5x+10y=25
[tex]5x+10y=25[/tex]
Add -10y to both sides:
[tex]5x+10y+-10y=25+-10y[/tex]
[tex]5x=-10y+25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{-10y+25}{5}[/tex]
[tex]\fbox{y = -2y + 5}[/tex]
What is the breadth of perimeter=50 ft and Length=15ft
Answer:
Breadth = 10 ft
Step-by-step explanation:
Given information,
→ Perimeter (P) = 50 ft
→ Length (L) = 15 ft
→ Breadth (B) = ??
Now we have to,
→ find the required value of Breadth.
Formula we use,
→ P = 2(L + B)
Then the required Breadth will be,
→ P = 2(L + B)
→ 50 = 2(15 + B)
→ 30 + 2B = 50
→ 2B = 50 - 30
→ B = 20/2
→ [ B = 10 ft ]
Hence, required Breadth is 10 ft.
find the least commmon multiple (LCM) for each pair of numbers.To solve the riddle the letters to the numberd lines below 2,5 3,15 6,12 2,15 2,3 8,24 4,10 6,9 7,9
The LCM of the given pairs are 10, 15,12,30,6,24,20,18, and 63 respectively.
What is LCM?The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.
There are 9 pairs, so let's name them using the letters A to I.
The LCM of the first pair A (2, 5) is 10.
The LCM of the pair B (3, 15) is 1*3*5 = 15.
The LCM of the pair C (6, 12) is 3*2*1*2 = 12.
The LCM of the pair D (3, 15) is 2*3*1*5 = 30.
The LCM of the pair E (2, 3) is 1*3*2 = 6.
The LCM of the pair F (8, 24) is 2*2*2*1*3 = 24.
The LCM of the pair G (4, 10) is 2*2*5 = 20.
The LCM of the pair H (6, 9) is 3*2*3 = 18.
The LCM of the pair I (7, 9) is 7*9 = 63.
Hence, 10,15,12,30,6,24,20,18,63 are the LCM of the given pairs.
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What is life? Ok answer me that I'm okay just answer the question
The required life is any living thing that has the property to be born, grow and end of the life cycle is life.
What are living beings?Any object that has characteristics of life is called living a being.
Here,
Life can be defined as the ability for growth, response to encouragements, metabolism, energy vitality and reproduction are characteristics that set life apart from matter that lacks biological activities, such as signaling and self-sustaining processes.
Thus, the required life is any living thing that has the property to be born, grow and end the life cycle is life.
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Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use = 3.14 in
any formulas used.
The area of the composite shape is 292.96 in² and the perimeter of the composite shape is 65.12 inches
Area of Half circle:The quantity of surface contained within a semicircle's perimeter is known to as its area.
The formula for the Area of a half circle with a Radius (r) is given by
Area of Half circle = πr²/2
The formula for the perimeter of a half circle with a radius (r) is given by
Perimeter of Half circle = πr
Here we have
A picture of a Rectangle with a half circle
Dimensions of Rectangle = 16 in × 12 in
=> Area of rectangle = 16 in × 12 in = 192 in²
=> Perimeter of rectangle shape = 12 + 16 + 12 = 40 inches
[ Here we only take one side of the rectangle since one of the sides is connected with a Half circle ]
The radius of half circle = 8 inch
=> Area of Half circle = π(8)² = (3.14)(64)/2 = 100.96 in²
=> Perimeter of Half circle = πr =(3.14)(8) = 25.12 in
Area of the composite shape
= Ractangle's Area + Half circle's Area
= 192 in² + 100.96 in²
= 292.96 in²
The perimeter of the composite shape
= Ractangle perimeter + Half circle perimeter
= 40 inches + 25.12 inches
= 65.12 inches
Therefore,
The area of the composite shape is 292.96 in² and the perimeter of the composite shape is 65.12 inches
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PLEASE HELP!!!!!!!!
Given 2 and one-eighth times negative 7 times five tenths, determine the product.
negative fourteen and five eightieths
negative 7 and seven sixteenths
fourteen and five fortieths
7 and one eighth
Answer:
Negative seven and seven sixteenths
Step-by-step explanation:
2⅛ x (-7) x 5/10
= 17/8 x (-7) x 1/2
= - 119/16
= - 7 7/16
Given ab, and c is not parallel to a or b, which statements
must be true?
Select each correct answer.
O
□m/4=m/8
m/8=m/9
m/2=m/7
m/7=m/10
a
C
1/2
3/4
5/6
7/8
9/10
11/12
of the guests at a charity fundraiser, 180 own both a house in the hamptons and a house in palm beach. if not every guest at the fundraiser owns a house in either the hamptons or palm beach, what is the ratio of the number of people who own a house in palm beach but not in the hamptons to the number of people who own a house in the hamptons but not in palm beach? (1) one-half of the guests own a house in palm beach. (2) two-thirds of the guests own a house in the hamptons.
"NOT EVERYONE who attended ratio the fundraiser owned a home in the Hamptons or Palm Beach."
What is statement type questions?
In research, a statement of the problem is used as a claim that outlines the problem addressed by a study. The problem statement answers the question briefly: What is the problem that the research will address? What are the objectives of a problem statement?
Consider the following diagram in the attachment (12) for both statement
H = the number of people who owned a home in the Hamptons but did not own a home in Palm Beach.
P = the number of people who owned a home in Palm Beach but did not own a home in the Hamptons.
N = the number of people who did not own a home in Palm Beach or the Hamptons.
Union = H+P+180 Universal = H+P+180 + N P/H =??
Statement 1: (P+180) / (H + P + 180 + N) = 1/2 Inadequate
Statement 2: (H+180) / (H + P + 180 + N) = 2/3 Inadequate
1 and 2 statements
Solve for H and P to find P/H; however, N cannot be eliminated.
This is insufficient.
We should find the ratio of red boxes, however with the information provided, this is impossible.
"NOT EVERYONE who attended the fundraiser owned a house in the Hamptons or Palm Beach.".
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7
a-4
a - 4
||
|
14
6
Are these 2 equivalent.
The equations a + 4 = 14 and a = 6 - 4 are not equivalent.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
From the information, a - 4 = 14
Therefore a = 14 + 4
a = 18.
a + 4 = 6
a = 6 - 4.
a = 2
They are not equivalent.
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a - 4 = 14
a + 4 = 6
Are these 2 equivalent.
When it comes to creditors and
debtors, which of the following
occurs?
A. Creditors and debtors receive loans from
consumers as capital.
B. Every debtor is guaranteed a loan.
C. Debtors receive loans as capital from creditors.
D. All creditors have the same interest rates for
debtors.
The only true given statement about debtors and creditors is; C. Debtors receive loans as capital from creditors.
How to identify creditors and debtors?Debtors are defined as the party from whom we have to receive the payment in the form of cash or any negotiable instrument.This means an asset for the firm.
Meanwhile, the creditors are defined as the party to which we will pay in the future agreed date in the form of cash or any negotiable instrument. This means liability for a firm.
A) This is not true because creditors don't receive loans from consumers as capital. This is the role of debtors.
B) This is not correct because it is not true that every debtor is guaranteed a loan.
C) This is true as defined earlier on the role of debtors and creditors.
D) This is not true because different creditors have different lending rates as the case may be.
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Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)
Answer:
equilateral
Step-by-step explanation:
You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.
AnglesOn the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.
When we apply the angle sum theorem, we find ...
(2x)° +(2x)° +(3x -30)° = 180°
7x -30 = 180
7x = 210
x = 30
2x = 2(30) = 60
3x -30 = 3(30) -30 = 60
All of the angles have the same measure, 60°, so the triangle is equilateral.
Answer:
3 equal angles = equilateral triangle
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
2x + 2x + 3x - 30 = 180
7x = 210
x = 210 : 7
x = 30
find angle Y & Z2 x 30 = 60°
find angle x3 x 30 - 30 = 60
3 equal angles = equilateral triangle
What is the true solution to 2 ln e superscript ln 5 x baseline = 2 ln 15?
x = 3 is the true solution to 2 ln e superscript ln 5 x baseline = 2 ln 15, using the concept of simplification.
What is simplification?Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or issue to a simpler form is referred to as simplification. With calculations and solutions, the problem is made simple.
In order to achieve consistency in efforts, costs, and time, procedures must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive. It is termed simplification to use and interpret the function in order to make it simpler or easier to grasp.
The equation can be simplified by using the fact,
ln(eˣ) = x
This gives,
2 ln(5x) = 2·ln(15)
Comparing arguments, we see that,
5x = 15
x = 3
Check if it is true or not:
2 ln(e^(ln(5·3))) = 2·ln(15)
2 ln(e^2.70805) = 2·2.70805
2 ln(15) = 5.41610
and,
2·2.70805 = 5.41610
So, it is true.
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A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
how to simpify 2,400/100
Answer:
24/1
Step-by-step explanation:
[tex] \frac{2400}{ \\ 100} [/tex]
and u get 24/1
Usually Cassandra tap dances 1 7/8 hours a day. Today she reduced this time by half. For how long did she tap dance today?
Answer: 15/16 hour
Step-by-step explanation:
Given △
△
M
T
S
and △
△
S
Q
P
, find SP.
Answer:
22
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]
Given f(x) = x² - 1 and g(x) = x + 5, find h(x) = (f. g)(x).
The function h(x) = (f.g)(x) would be x² + 10x + 24.
What are composite functions?
A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.
To find h(x) = (f.g)(x), we need to find the composition of the functions f(x) and g(x).
The composition of two functions f(x) and g(x) is denoted by (f.g)(x) and is defined as (f.g)(x) = f(g(x)).
In this case, we have:
h(x) = (f.g)(x) = f(g(x)) = f(x + 5)
Substituting x + 5 for g(x) in the equation for f(x), we get:
h(x) = (f.g)(x) = f(x + 5) = (x + 5)² - 1
Simplifying this expression, we get:
h(x) = (f.g)(x) = x² + 10x + 24
Hence, the function h(x) = (f.g)(x) would be x² + 10x + 24.
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Find the values of x and y
Answer:
x = 20
y = 70
Step-by-step explanation:
It's rather difficult to explain since nothing is labeled but those are the answers
Seven days a year, Tiger Stadium becomes the fifth largest city in the state of Louisiana. Over 92,000 fans pack the stadium to watch the Tigers play. After the game, if the fans leave at a rate of 10% per minute, how long will it take before the stadium is half empty?
It will take 5 minutes before the stadium is half empty
Given that:
Over 92,000 fans pack the stadium to watch the Tigers play
The fans leave at a rate of 10% per minute
The number of fans that leave per minute will be:
10% of 92,000 = 10/100 × 92, 000 = 9,200
The stadium will be fully empty in:
time = 92,000/9,200 = 10 minutes
The stadium will be half empty in:
time = 10 minutes / 2 = 5 minutes
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Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information.
Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.
What is Slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two distinct points on a line can be used to calculate the slope of any line.
The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.
According to our question-
the points are given as
(x1,y1)=0,-5
(x2,y2)=-3,4
m = y2-y2/x2-x2
Hence, the line's equation is - 3x - 5.
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A new streaming service sent out a survey to 350 households to see who would be interested in its service. The company found that it could charge $55 per month, with a margin of error of ±1.3. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?
$52,815
$53,700
$54,915
$56,300
Answer:
B) $53700-------------------------------------
The charge of $55 with error margin of ± 1.3 results in the least value of $(55 - 1.3) = $53.7 and greatest value of $(55 + 1.3) = $56.3.
If 1000 people signed up for the service, then the least total amount is:
$53.7*1000 = $53700Correct choice is B.
Please help me. I don't want to get the answer wrong
Answer:
photo?
Step-by-step explanation:
lonzo borrowed 15000$ at 1.2% simple interest to buy a car . after 9 months how much will lonzo owe the bank in interest
The simple interest implies that Lonzo owes $1513.5
How to determine the amount Lonzo owes?The given variables can be represented as:
Loan amount P = $1500
Rate of interest, R = 1.2%
Time to pay back the loan, t = 9 months i.e. 0.75 year
The amount from a simple interest can be calculated using:
A = P(1 + RT)
Substitute the known values in the above equation, so, we have the following representation
A = 1500 * (1 + 1.2% * 0.75)
Evaluate
A = 1513.5
Hence, the amount owed is $1513.5
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Please reply urgent I need it now
step by step
Answer:
x ≥ 5
Step-by-step explanation:
5 + 2 (2x - 3) ≥ 3x + 4
5 + 4x - 6 ≥ 3x + 4
-1 + 4x ≥ 3x + 4
4x ≥ 3x + 5
x ≥ 5
If A=45° B = 30°, prove that
Sin (A-B) = sinAcos B - Cos Asin B
To prove that Sin (A-B) = sinAcos B - Cos Asin B, we can use the angle subtraction formula for sine:
Sin (A-B) = Sin A Cos B - Cos A Sin B
This formula is derived from the identity:
Sin (A-B) = Sin A Cos B - Cos A Sin B
which can be derived by using the double angle identities for sine and cosine:
Sin (2A) = 2 Sin A Cos A
Cos (2A) = Cos^2 A - Sin^2 A = 2 Cos^2 A - 1 = 1 - 2 Sin^2 A
Substituting these identities into the identity above, we get:
Sin (A-B) = Sin A Cos B - Cos A Sin B
What is an angle subtraction?Angle subtraction formulas is otherwise known as angle subtraction identities. This angle subtraction formulas permit us to find the exact values of less common trigonometric angles by expressing the less common angle as the difference of two common angles. For example, 15 degrees = 45 degrees - 30 degrees.
Therefore, Sin (A-B) = sinAcos B - Cos Asin B.
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In the first week of July a record 1,120 people went to the local swimming pool in the second week 125 fewer people went to the pool than in the first week in the third week 130 more people went to the pool than in the second week in the fourth week 229 fewer people went to the pool than in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
There is 20% decrease in the number of people who went to the pool over these four weeks.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Attendance of pool in first week of July = 1120
In second week, 125 fewer people joined.
Thus, attendance in second week is = 1120-125 = 995
In third week, 130 more people joined.
Thus, attendance in third week is = 995+130 = 1125
In fourth week, 229 fewer people joined.
Thus, attendance in fourth week is = 1125-229 = 896
Difference of attendance in first and fourth week = 1120-896 = 224
Percentage decrease = (Decrease number/Initial number)×100%
= (224/1120)×100%
= 0.20×100%
= 20%
Thus, there has been a 20% decrease over the four weeks.
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2(x+6)+3x+4=
what it equals
Answer:
5x + 16
Step-by-step explanation:
First you have to distribute the 2 into the parentheses
2 times x is 2x
2 times 6 is 12
so now the equation is
2x + 12 + 3x + 4
add the 2x and 3x and that is 5
so now the equation is...
5x + 12 + 4
add 12 + 4 and that is 16
so now the answer is
5x + 16
