Answer:
Option A: 3, 7, 11, 15
Step-by-step explanation:
f(2) = f(1) + 4 = 3 + 4 = 7
f(3) = f(2) + 4 = 7 + 4 = 11
f(4) = f(3) + 4 = 11 + 4 = 15
f(5) = f(4) + 4 = 15 + 4 = 19
Is 604,892 divisible by 4?
Answer:
yes it is 604892÷4=151,223
2. ¿Qué probabilidad hay de extraer una A seguida de una M de las letras de la
palabra MATEMÁTICAS (sin devolución)?
Usando su concepto, se encuentra que hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.
¿Qué es una probabilidad?Una probabilidad viene dada por el número de resultados deseados dividido por el número de resultados totales.
En este problema, hay que:
De las 11 letras, 3 son A.De las 10 letras restantes, 2 son M.Asi:
p = 3/11 x 2/10 = 3/55
Hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.
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HELPNOW. NO EXPLAINATIOON NEEDED. PLEASE ANSWER ASAP.
Find the scale if:
The scale used on the map is 1 centimeter to 12.5 kilometers.
How to find the scale?When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.
This means that each unit on the scale drawing not represents the same unit on the original thing.
On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).
Then the scale will be in cm to km, and to get the scale we can write:
4cm = 50km
Dividing both sides by 4 we get:
1cm = 50km/4 = 12.5 km
Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.
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Yolanda scored 10 points in a basketball game. She could have scored with one‐point free throws, two‐point field goals, or three‐point field goals. In how many different ways could she have scored her 10 points?
she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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what is the place value?
Jose must choose a number between 49 and 95 that is a multiple of 2, 6, and 8. Write all the numbers he could choose. If there is more than one number separate them with commas
Jose chooses variety between 49 and 95 that's a multiple of 2 , 6, and 8. is 72
The least integer is additionally referred to as lowest common multiple (or) the bottom integer in scientific discipline. the smallest amount integer} of 2 or additional numbers is that the smallest number among all common multiples of the given numbers.By victimization the prime factorization methodology we are able to resolve the lowest common multiple of the given numbers. To calculate the lowest common multiple of 2 numbers victimization the prime factorization methodology, we have a tendency to use the steps given below:
Step 1: notice the prime factors of the given numbers by recurrent division methodology.
Prime factorization of 2 is given by
2 = 2 × 1
Prime factorization of 6 is is given by
6 = 2 × 3
Prime factorization of 8 is given by
8 = 2 × 2 × 2
Step 2: Write the numbers in their exponent type. notice the merchandise of solely those prime factors that have the best power.
Prime factorization of 2 is given by
2 = 2
Prime factorization of 6 is is given by
6 = 2 × 3
Prime factorization of 8 is given by
8 = 2³
Step 3: the merchandise of those factors with the best powers is that the lowest common multiple of the given numbers.
LCM will be = 2 × 3 × 2²
LCM of 2,6 and 8 = 24
Multiples of 24 between 49 and 95 is 72
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Fill in the blanks. (5 x 3) x __) a b 4x( x 9) = 72 C 7x (2x __) = 42 d (_____________× 5) x 5 = 75 x __) = 27 e (3 x 3) x = 60
The solution to each division problem is;
1) 4
2) 2
3) 3
4) 3
5) 3
1) We are given the expression;
(5 * 3) * ___ = 60
To get the blank answer, we will divide both sides by (5 * 3) to get;
60/(5 * 3) = 4
2) We are given the expression;
4 *( ___ * 9) = 72
To get the blank answer, we will divide both sides by (4 * 9) to get;
72/(4 * 9) = 2
3) We are given the expression;
7 * (2 * ___) = 42
To get the blank answer, we will divide both sides by (7 * 2) to get;
42/(7 * 2) = 3
4) We are given the expression;
(___ * 5) * 5 = 75
To get the blank answer, we will divide both sides by (5 * 5) to get;
75/(5 * 5) = 3
5) We are given the expression;
(3 * 3) * ___ = 27
To get the blank answer, we will divide both sides by (3 * 3) to get;
27/(3 * 3) = 3
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Suppose the time it takes me to drive from my apartment to campus on any given day is uniformly distributed between 16 and 20 minutes. What is the mean amount of time it takes me to drive to campus?
Question 4 options:
20 minutes
24 minutes
12 minutes
18 minutes
16 minutes
Given that the between 16 and 20 minutes driving times to the campus is uniformly distributed, the mean driving time is 18 minutes
The correct option is therefore;
18 minutes How can the mean of a uniform distribution be found?The time it takes to drive from the apartment to the campus = Between 16 and 20 minutes
The nature of the distribution of the travel time = Uniform distributionThe mean of a continuous uniform distribution between two boundaries, a and b is given by the formula;
[tex] \mu = \frac{a+b}{2} [/tex]
The mean amount of time it takes to drive to campus is therefore;
[tex] \mu = \mathbf{\frac{16+20}{2}} = 18 [/tex]
The correct mean driving time is the option;
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What is 22 divided 2.630 and what’s the remainder
Answer:
22 divided by 2.630= 8 remainder 0.96
Answer: 22/2.630 is 8, remainder is 0.365 or 73/200
Which is the best approximation for the solution of the system of equations?
y= -2/5x + 1
Y = 3x -2
A: (0.45, 0.88)
B:(0.88, 0.65)
C:(0.88, 1.11)
D:(1.3, 0.88)
Graph pictured below
What is the total cost of 2.3 cubic meters of soil if it sells for $45 per cubic meter?
The total cost is $
(Type an integer or a decimal.)
The table below models a particular physical situation.
x −9, −3, 4 ,10
y 9, 1, −7, 10
Find the piecewise linear equation that models the data above. Round to three decimal places if needed.
y={
___ x + ___. −9 ≤ x ≤ −3
___ x + ___. −3 < x ≤ 4
___ x + ___. 4 < x ≤ 10
Answer:
Step-by-step explanation:4
Step-by-step explanation:
We do the ones that are in parenthesis first. Find out the exponent. 2 to the power of two is 4. 3-4=-1. Then we would add 5. 5+-1 would result of 4.
find the value of k if it is known that the line y=kx goes through the point B(-30,3)
Answer:
k = -0.1
Step-by-step explanation:
An ordered pair is in the form (x,y) We can use the x and y from the point (-30,3) to find k
y = kx We will replace x with -30 and y with 3
3 = (-30)k divide both sides by -30
-0.1 = k or [tex]\frac{-1}{10}[/tex] in the fraction form
Dede is x years old now. a.How old we was she 7 years ago?
Answer:
x-7
Step-by-step explanation:
Whatever her current age is, she was 7 years younger 7 years ago. Because her current age is undefined, it must remain an equation.
11. A shopkeeper bought a sewing machine for 3,500, If he wants to earn a profit of 20% c
a discount of 20% to the customer, what should be the marked price?
Answer:
I put the answer in the screenshot i took
Step-by-step explanation:
-lukelaws
If a/b = c, then a = bc converse
To address the issue, we must understand what the converse of a statement implies. The statement's opposite is true if a=bc and a/b=c.
By switching the condition and the result, a conditional statement can be made into its opposite. The converse of a statement is q—->p if the statement is p—->q. In the provided question, the condition is stated as a/b=c, and the answer is a=bc if the condition holds.
We must create the result, the condition, and the condition will be the new result in order to discover the opposite of this assertion. As a result, a=bc will be the condition for converse, and a/b=c will be the outcome if the condition is satisfied.
As a result, if a=bc then a/b=c., the supplied sentence has the opposite meaning.
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Find an equation of a line that is perpendicular to 5X minus Y equals one and is located search that the area of the triangle formed by this line in the ex and Y axis is equal to five
The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
What is an equation of a line?The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.The slope of the line and a point on the line can be used to create the equation of a line.The slope of the line, which can be stated as a numeric integer, fraction, or tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.Given Line : 5x - y = 1
slope of line = [tex]\frac{-5}{-1}[/tex] = 5
product of slopes of two perpendicular lines is - 1.
m₁ × 5 = -1
slope of required line m₁ = [tex]\frac{-1}{5}[/tex]
Let the equation of the required line be
y = mx + c where m is slope
y = [tex]\frac{-x}{5}[/tex] + c
Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]
Here, x-intercept = 5c
y-intercept = c
Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]
=[tex]\frac{5c^{2} }{2}[/tex]
Given area = 5
⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5
⇒ c² = 2
⇒ c = ±√2
Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
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Select the expression that has a quotient greater than 1. Explain your reasoning PLEASE ANSWER THIS
1. 4 2/3 ÷ 5 1/4
2. 3 1/8 ÷ 2 2/5
3. 1 6/7 ÷ 2 1/3
4. 5 3/4 ÷ 7 3/8
Use the formulas developed in the this section to find area of the figure.
A=s^2
A=___ yd^2
The area of the figure is 22.785 square yards
How to find the area of the figure?The figure is a triangle, and it has the following properties
Base = 9.3 yards
Height = 4.9 yards
The area of the figure is calculated as
Area = 0.5 * Base * Height
So, we have
Area = 0.5 * 9.3 * 4.9
Evaluate
Area = 22.785
Hence, the area of the figure is 22.785 square yards
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The larger room is twice as wide as the smaller room which is 29 3/4’. How wide is the
larger room?
Answer: 59.5
Step-by-step explanation: 29 3/4 times 2
I think
Solve: x0.09=0.81. Round to the hundredths place. Do not include "x=" in your answer.
The value of x in the equation x0.09 = 0.81 is 9
How to determine the value of x?The equation is given as
x0.09 = 0.81
Rewrite the above expression properly
So, we have:
x * 0.09 = 0.81
Divide both sides by 0.09
So, we have:
x = 0.81/0.09
Evaluate
x = 9
Hence, the value of x in the equation x0.09 = 0.81 is 9
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f(x)=x+2
g(x) = 3x² - 5
Find (f ·g)(x).
Step-by-step explanation:
f(x) = x + 2
g(x) = 3x² - 5
= (f.g)(x)
= (x + 2).(3x² - 5)
= 3x³ - 5x + 6x² - 10
= 3x³ + 6x² - 5x - 10
4) Joe took 15 small erasers and placed them on his
rectangular desk What is one way you could describe
how Joe could place the erasers in an array. Then write
the multiplication fact for it.
Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .
A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.
An array is a systematic arrangement, frequently in rows, columns, or a matrix, that is most frequently used as a visual aid for multiplying and dividing numbers.A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one.Here Joe has 15 eraser and he placed them on his rectangular bench.
Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.
The multiplication fact for this representation in an array is given by
5 × 3 .
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Malcolm got his first job. His wage in his first year was $8.65 an hour. In year 2, it was raised to $10 an hour. What was the percent increase in his hourly wage between year 1 and year 2
O 15.61%
O 13.5%
O 1.35%
O 0.16%
The percentage increase is the ratio of value increased to the original value and multiplied by 100.
The percentage increase in his hourly wage between year 1 and year 2 is 15.61%.
Option A is the correct answer.
What is a percentage increase?The percentage increase is the ratio of value increased to the original value and multiplied by 100.
It is expressed in percentage.
If there is an increase in the value of anything, then there is an increase in percentage.
We have,
Wage in the first year per hour = $8.65
Wage in the second year per hour = $10
The percentage increase in hourly wage:
= [ (10 - 8.65) / 8.65 ] x 100
= ( 1.35 / 8.65 ) x 100
= 15.6069 %
= 15.61 %
Thus the percentage increase in his hourly wage between year 1 and year 2 is 15.61%.
Option A is the correct answer.
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Order the cube root of 37, 16 over 5, negative four and two thirds, and negative pi from greatest to least.
the cube root of 37, 16 over 5, negative pi, and negative four and two thirds
16 over 5, the cube root of 37, negative four and two thirds, and negative pi
16 over 5, the cube root of 37, negative pi, and negative four and two thirds
the cube root of 37, 16 over 5, negative four and two thirds, and negative pi
The order of the numbers from greatest to smallest is the cube root of 37, 16 over 5, negative pi, and negative four and two thirds
What is the order of the numbers?The numbers we are to order from the greatest to the least are ∛37, 16/5, -4 2/3, -22/7. To ease the problem, all the numbers should be converted to decimal form.
A decimal is a number that consists of integers and non-integers. The integers are separated from the non-integers by a decimal point. An example of a decimal number is 1.23.
When converted to decimals, the number become:
∛37 = 3.33
16/5 = 3.2
-4 2/3 = -14/3 = -4.67
-22/7 = -3.14
The further away a positive number is from zero, the greater the number. The closer a negative number is to zero, the greater the number.
3.33, 3.2, -3.14, -4.67
∛37, 16/5, - 22/7, -4 2/3
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Answer:
The person above was correct! gl on ur exam :))
When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs.
Group of answer choices
annual expenses
expense summary
fixed expenses
Emergency fund
Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs
Step-by-step explanation:
?
5
Find the arc length of the semicircle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units
Show Calculator
The length of the arc is calculated for the given semicircle as 15.7 units.
What exactly is a semicircle?When a circle is split in half it along diameter, a semicircle is formed. The 2 halves are the same size.A semicircle, also defined as a ½, is a folded circular sheet plate in half.The semicircle has one symmetry line, which is recognized as the reflection symmetry.The semicircle's arc everytime measures 180° because it is half of the a 360° circle.For, the given question.
The radius of the semicircle is 5 units.
The length of the arc of semicircle is equal to the perimeter of the semicircle.
The formula for perimeter;
P = πr
where, r is the radius and π = 3.14.
Put the values in the formula.
Perimeter = 3.14×5
Perimeter = 15.7 units.
Therefore, the length of the arc of the semicircle is 15.7 units.
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There are 2 triangles and 8 circles. What is the simplest ratio of triangles to total shapes?
Answer:
1 : 5
Step-by-step explanation:
Circles + Triangles = Total shapes
8 + 2 = 10
Number of triangles : Total shapes
2 : 10
Both can be divided(simplified) by 2
= 1 : 5
Hope this helped! ^^
PLS HELP
The elevation of city A is 96 feet below sea level; the elevation of city C is 24 feet below sea level. The elevation of city D is 1 over 4 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
HURRY PLS
(A) The expression to represent the elevation level of city D, in feet will be : [tex]D = \frac{1}{4} * [C][/tex]
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.
In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:
For City A, A = -96
City C, C = -24
City D, [tex]D = \frac{1}{4} *[C][/tex] ----> Equation (1)
By Equation (1) we get the representation of elevation for City D.
Now, Calculating the elevation of city D, we will put the value of city C in equation (1).
=> [tex]D = \frac{1}{4} *[-24][/tex]
=> [tex]D = -6\\[/tex]
The negative sign here shows that the elevation is below sea level for city D.
Hence, the expression representing the elevation of city D will be [tex]D = \frac{1}{4} * [C][/tex] and, the elevation of city D will be -6.
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4/5 + 1/2 - 1/3 in simplest form
Answer: 24/25
The answer to the question is 0.96, 0.96 in simplest form is 24/25
