Answer:
36.6
Step-by-step explanation:
7 is a factor of which number?
please help!
given f(x)=3(4-x), what is the value of f(-2)?
Answer:
18
Step-by-step explanation:
f(-2) = 3(4-x)
=3(4+2)
=3*6=
=18
What is the conjugate?
a √a-1
Step-by-step explanation:
In maths, Conjugates are defined as a pair of binomials with identical terms but parting opposite arithmetic operators in the middle of these similar terms. For example, p – q is the conjugate of p + q.
complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, the complex conjugate of {\displaystyle a+bi} is equal to {\displaystyle a-bi.}
The math conjugate of a number is a number that when multiplied or added to the given number results in a rational number. For example,
The conjugate of a surd 6 + √2 is 6 - √2.
The conjugate of a complex number 5 - 3i is 5 + 3i.
Question Which graph represents the inequality? 2x−3y<6
I think the answer is B, the one with a complete line and shaded to the bottom
Given the lease terms below from a local car dealership, what is the total cash due at
signing if the dealership requires down payment, security deposit, first month's
payment and the acquisition fee at signing?
Length of lease = 24 months
MSRP of the car = $22, 750
Purchase value of the car after lease = $16, 900
Down payment = $1,800
Monthly payment = $425
Security deposit = $375
Acquisition fee = $300
The total cash due at signing if the dealership requires down payment, security deposit, first month's payment and the acquisition fee at signing is 2400 + 375 + 500 = 3275
When you buy a car, you don't make monthly payments at the beginning. Plus, you don't care how much the buyout costs when you close the lease, that's after you've had it for two years.
You must take care of the deposit, this is your good faith commitment to the rental car. In addition, you may have to pay a deposit based on your credit, and the acquisition fee is what you would pay a broker or dealer to get the car to you if you wanted it from somewhere else.
Therefore,
2400 + 375 + 500 = 3275
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The perimeter of a baseball diamond is 360 ft. If you take 12 laps around the diamond, what is the total distance you run.
Answer:6-lane, 200-meter rubberized track (8 laps = 1 mile)
Step-by-step explanation:
PVIF8%,5 means that the rate is[blank]
and the time is[blank]
years?
Answer:
Step-by-step explanation:
it means the rate is 8% and the time is 5 years
During an influenza epidemic, we note that in a household of mother, father and two children, the probability that mother gets influenza is 10%. Furthermore, we see that the probability that father get influenza is also 10% while the probability that both mother and father get influenza is 2%. For the children, we assume a probability of 20% that each child will get influenza and a probability of 10% that both children get the disease at the same time. (a) Are the events that mother and father get influenza independent of each other? (b) What is the probability that at least one child will get influenza? (c) What is the conditional probability that the father has influenza given the the mother has influenza? 5 (d) What is the conditional probability that one child has influenza given that the other child does not have influenza?
Answer:
i could only work out (A)
Step-by-step explanation:
Given: P(MOTHER) = 0.10 P(FATHER) = 0.10 P(MOTHER AND FATHER)= 0.02 P(FIRST CHILD) = 0.20 P(SECOND CHILD) = 0.20 P(FIRST CHILD AND SECOND CHILD) = 0.10 So, we get: P(MOTHER) X P(FATHER) = 0.10X 0.10 = 0.01 Since P(MOTHER) X P(FATHER) = 0.01 P(MO
Ji-yoon started the week with a balance of -$90 in her checking
account. She then wrote a check for $130. Write an expression with
addition that can be used to find the new balance.
Answer:
-$90 + $130= $40
Step-by-step explanation:
Im not sure if this is what you were looking for
Find the value of k the diagram is not to scale
○ 80
○ 36
○ 100
○112
Find the value of k the diagram is not to scale
○ 80
○ 36
○ 100
○112
100 is your answer
Find the measurement of the angle indicated for each trapezoid.
*
Answer: m∠B=53°
Step-by-step explanation:
A property that is inherent in a trapezoid of any kind: the sum of the angles adjoining a side is equal to 180°
Hence,
(32x-1)+(14x-3)=180
32x-1+14x-3=180
46x-4=180
46x-4+4=180+4
46x=184
Divide both parts of the equation by 46:
x=4
m∠B=14x-3
m∠B=14(4)-3
m∠B=56-3
m∠B=53°
Suppose that 650lb of coffee are sold when the price is $4 per pound
Money earned = $162.50
Explanation:
650 / 4 – You make $4 for every pound sold
= 162.5
Which is $162.50
Express the following inequality using interval notation.
1/2x−1>7
The inequality using interval notation is (18, ∝)
How to express the inequality using interval notation?The inequality is given as
1/2x − 1 > 7
Add 1 to both sides of the inequality
So, we have
1/2x − 1 + 1 > 7 + 1
Evaluate the like terms
So, we have
1/2x > 8
Multiply through by 2
So, we have
x > 16
Using interval notation, we have
(18, ∝)
Hence, the inequality using interval notation is (18, ∝)
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Given (x,7) and (−1,y) find x and y such that the midpoint between these two points is (3,5)
The solution to the system of linear equations is (x, y) = (7, 3).
How to find the missing coordinates of the two ends of a line segmentHerein we find that the coordinates of the midpoint and part of the coordinates of the ends of the line segment are known. We must determine the values of the missing coordinates by the midpoint formula:
0.5 · (x, 7) + 0.5 · (-1, y) = (3, 5)
Which is equivalent to the system of linear equations:
0.5 · x - 0.5 = 3 (1)
3.5 + 0.5 · y = 5 (2)
The solution to the system of linear equations is (x, y) = (7, 3).
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To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires 11 hours for painting, 5 hours for drying, and 3 hours for polishing. A Beta requires 17 hours for painting, 8 hours for drying, and 4 hours for polishing, and a Sigma requires 4 hours for painting, 5 hours for drying, and 1 hour for polishing. If the company has 253 hours for painting, 149 hours for drying, and 63 hours for polishing per month, how many of each type of car are produced?
Step-by-step explanation:
d = number of Delta cars
b = number of Beta cars
s = number of Sigma cars
253 = 11d + 17b + 4s
149 = 5d + 8b + 5s
63 = 3d + 4b + 1s
s = 63 - 3d - 4b
149 = 5d + 8b + 5(63 - 3d - 4b) =
= 5d + 8b + 315 - 15d - 20b = -10d - 12b + 315
-166 = -10d - 12b
-83 = -5d - 6b
83 = 5d + 6b
5d = 83 - 6b
d = (83 - 6b)/5
with these 2 "identities" we are going into the 3rd equation and solve for the third variable (b), followed by solving the first 2 identities :
253 = 11((83 - 6b)/5) + 17b + 4(63 - 3((83 - 6b)/5) - 4b)
1265 = 11(83 - 6b) + 85b + 20×63 - 12(83 - 6b) - 80b
1265 = -(83 - 6b) + 5b + 1260
5 = -83 + 6b + 5b
88 = 11b
b = 8
d = (83 - 6b)/5 = (83 - 48)/5 = 35/5 = 7
s = 63 - 3d - 4b = 63 - 3×7 - 4×8 = 63 - 21 - 32 = 10
7 Delta cars
8 Beta cars
10 Sigma cars
were produced.
A+1/6=1/6 solve the equation
Answer:
Step-by-step explanation:
A + 1/6 = 1/6
subtract 1/6 from both sides
A = 0
A small college needs two additional faculty members: a chemist and a statistician. There are five applicants for the chemistry position and seven applicants for the statistics position. In how many ways can the college fill these positions?
By using permutation, the college can fill the position in 7 ways.
What is Permutation?Permutation shows the no. of ways to arrange the objects or elements.
The Formula for the permutation is P(n, r) = [tex]\frac{n!}{(n-r)!}[/tex]
Given data:
The college needs two additional faculty members a chemist and a statistician. There are five applications for the chemistry position and seven applications for the statistics position.
No. of ways the college can fill the position = no. of ways the college can select Statistics + no. of ways the college can select chemist
By using, the permutation method we can find the no. of ways of selection of both chemist and statistician.
No. of ways the college can fill the position =[tex]5p_{1} +7p_{1}[/tex]
= 5 + 7
= 12 ways
The college can fill the position in 12 ways.
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if the midpoint of line AB is (4,4) and the coordinates of A is (2,1) what is the coordinates if B
The required coordinate of b is given as (6, 7 ).
To find out the coordinate of b if M is the midpoint of AB. A(1, -4) and M(-3 ,0).
What is the midpoint?
The midpoint is that point the line whose length from both the ends of the line is equal.
Here,
We have coordinates of two points i.e. A(1, -4) and M(-3, 0).
Definition of midpoint says,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 2, x = 4 , y₁ = -1, y = 4
now,
4 = [2 + x₂] / 2 ; 4 = [1 + y₂] / 2
x₂ = 8 - 2 ; y₂ = 8 - 1
x₂ = 6 : y₂ = 7
Thus, the coordinate of b is given as (8, 7 ).
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If p=7 and q=1, what is 4pq squared + (-7)pq squared +5p?
For the exponents, I don’t know how to distribute the squared/power of two within each term.
Answer:
14
Step-by-step explanation:
q² = 1
and 1² = 1 * 1 = 1
4pq² + (-7)pq² +5p
Evaluate for p=7,q=1
(4)(7)(1²)+((−7)(7))(1²)+(5)(7)
(4)(7)(1²)+((−7)(7))(1²)+(5)(7)
=14
The figure on the left is reflected using line to form the image on the
right. Use the information in the original figure to find the corresponding parts in
the image.
The required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.
As given in the question, the figure on the left is reflected using a line to form the image on the right.
Here,
Since the reflection of a figure never changes its dimension so,
in the figure,
b + 143 + 108 + 63 = 360
b = 46
And also in reflection, the measure of the site will not change so the measure of a = 3.2
Thus, the required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.
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$953 is ________% of $1717
Select one:
A. 0.6
B. 55.5
C. 0.1
D. 180.2
2x + = x + 5
Solve using a mental strategy
The required solution of the given equation is 5.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given equation is
2x + = x + 5
According to given question we have
Mental Math is an exercise where we solve mathematical equations mentally without the help of a calculator.
To do the bigger or important quantities first. This gives an estimate of the value expected. Such an approach is front end or left to right multiplication.
2x = x + 5
Substract x from both sides we get,
x=5
Therefore, the required solution of the given equation is 5.
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On a day when the speed of sound is 343 m/s you drop a rock into a well and hear it hit the bottom 3s later. How deep is the well?
Answer:
1029
Step-by-step explanation:
d=s*t
s=343m/s
t=3s
=343m/s*3s
= 1029
blank are numbers or variables that are multiplied together.
powers
bases
factors
radicals
Answer:
bases....................
please help my geo grade is so low
As m ∠ COD = 90°, then the angle COD is a right angle.
What kind of angle is the measure seen in the protractor?
According to geometry, angles are generated by semirrays with a common point. There are different kinds of angles concerning its measure:
Acute angle - Its measure is between 0° and 90°.Right angle - Its measure is 90°.Obtuse angle - Its measure is between 90° and 180°. Straight angle - Its measure is 180°.Based on all the information given by the protractor, we find that the measure of the angle AOD is:
m ∠ COD = m ∠ AOD - m ∠ AOC
If we know that m ∠ AOD = 115 ° and m ∠ AOC = 25°, then the measure of the angle COD is:
m ∠ COD = 115° - 25°
m ∠ COD = 90°
As m ∠ COD = 90°, then the angle COD is a right angle.
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what is the image of the point (4, 0) after a rotation of 90 degrees counterclockwise about the origin
When point is rotated 90 degrees counterclockwise about the origin, point (x,y) becomes (-y,x).
Solving the QuestionWe're given
(4,0) rotated 90 degrees counterclockwise about the originMake the y-coordinate negative:
(4,0)
Switch around the coordinates:
(0,4)
Answer(0,4)
What is the least common denominator of 1/6 and 2/3
Answer:
It is 6 since the denominator 3 can be moved to 6 by only multiplying it by 2
The difference of 3 times a number and 5 is 13. Write and solve an equation to
find the number.
Answer:
n=8/3
Step-by-step explanation:
3n-5=13
3n=8
n=8/3
Evaluate the expression when x= 6 and y= -4.
-x + 6y
Answer:
Step-by-step explanation:
substitute the value for x and y
-6 + 6(-4)
= -6 -24
= -30
Answer:
-30
Step-by-step explanation:
plug in variables
-6 + 6(-4)
-6+ -24
= -30
Joshua Vermier of Sacramento, California, received a raise after his first year on the job to $45,400 from his initial salary of $42,800. What was Joshua’s raise stated as a percentage? Inflation averaged 2.4 percent for the year. Round your answer to one decimal place.
1. Joshua's raise stated as a percentage is 6.1%.
2. When inflation is factored in, Joshua's raise reduces to 3.7%
What is a percentage?A percentage is the ratio of a variable when compared to the whole.
Percentages are expressed over 100, like ratios, probabilities, and proportions.
Data and Calculations:Initial salary on the job = $42,800
New salary after the raise = $45,400
The salary increase in dollars = $2,600 ($45,400 - $42,800)
The salary increase in percentage = 6.1% ($2,600/$42,800 x 100)
Inflation rate = 2.4%
The real increase in salary = 3.7% (6.1 - 2.4%).
Thus, Joshua’s raise stated as a percentage is 6.1%.
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