Answer:
$19
Step-by-step explanation:
56x9=504
523-504=19
Perform the following mathematical operation, and report the answer to the correct number of significant figures. 0.34 x 0.568 = [ ? ]
The multiplication of 0.34 by 0.568 will be 0.19312 and the number of significant figures is five.
How to illustrate the information?In positional notation, significant figures are the digits in a number that are trustworthy and required to denote the amount of something. Significant figures are the number of digits that add to the correctness of a value, frequently a measurement.
It should be noted that significant figures are the numbers that are reliable and are usually non zero digits.
In this case, the multiplication of 0.34 by 0.568 will be 0.19312.
Therefore, the number of significant figures is five.
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Drake Kennedy's regular-time pay rate is $12.73 an hour. Last week he was paid for 37.5 hours at his
regular rate and for 5 hours at a time-and-a-half overtime rate. Find Drake's gross pay for week?
Answer:First, determine the total number of hours worked by multiplying the hours per week by the number of weeks in a year (52). Next, divide this number from the annual salary.if an employee has a salary of $50,000 and works 40 hours per week, the hourly rate is $50,000/2,080 (40 x 52) = $24.04.
Step-by-step explanation:
Divide the gross pay by the wage hours worked. For example, if your records show that the employee was paid $4,000 for the total month, divide 4,000 by 172 to reach $23.26. This is an accurate representation of an hourly rate for that employee's monthly work.
Movie tickets at the local theater cost $9 for matinee showings and $13.50 for prime-time
showings. If the total number of tickets the theater sold on a particular day was 1,411 and $17,149.50
was collected, how many matinee and how many prime-time movie tickets were sold that day?
The number of many matinee and prime-time movie tickets were sold that day are
What is defined as the linear equation in two variables?A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.
If there is only one solution, the given lines are intersecting; if no solution is possible, the given equations have been of parallel lines. If there are an infinite number of solutions, it means that given equations form coincident lines.For the given question.
Let 'x' be the number of matinee showings.
Let 'y' be the number of prime-time showings.
Then. the total ticket sold are 1,411.
Thus, x + y = 1,411.
or, x = 1,411 - y
The cost of one matinee showings is $9.
The cost of one prime-time showings is $13.50.
Now, the total cost earned is $17,149.50.
So,
9x + 13.5y = 17,149.50
Put the value of the 'x' in the above equation.
9(1,411 - y) + 13.5y = 17,149.50
Simplifying;
12699 - 9y + 13.5y = 17,149.50
4.5y = 4450.5
y = 989.
Calculate x;
x = 1,411 - 989
x = 422
Therefore, the number of matinee and prime-time movie tickets were sold that day are 422 and 989.
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( 19+ 4 x ( 20 - 18 ) ÷9
Answer:
do u want me to graph or solve it
Step-by-step explanation:
Answer:
97
Step-by-step explanation:
I believe that is your answer
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^x and y = 2^x + 2 intersect are the solutions of the equation 8^x = 2^x + 2. (4 points)
Part B: Make tables to find the solution to 8^x = 2^x + 2. Take the integer values of x between −3 and 3. (4 points)
Part C: How can you solve the equation 8^x = 2^x + 2 graphically? (2 points)
Answer + Step-by-step explanation:
Part A :
Let M(a , b) be a point where the graphs
of the equations y = 8ˣ and y = 2ˣ⁺² intersect.
M lies on both graphs
Then
the coordinates of M verify both equations (equation of graph1 and equation of graph 2)
Then
[tex]b=8^{a}\ \text{on the other hand} \ b=2^{a+2}[/tex]
Then
[tex]8^{a}=2^{a+2}[/tex]
Therefore ‘a’ (the x-coordinates of the points M where the two graphs intersect) is a solution to the equation :
[tex]8^{x}=2^{x+2}[/tex]
Part B : check the attached table.
Part C :
Graphically, we try to spot the points of intersection of the two graphs ,the x-coordinates of those points are the solution to our equation.
In our case , obviously the two graphs intersect at only one point M(1 ,8)
Therefore 1 is the only solution to 8ˣ = 2ˣ⁺².
Also ,Check the attached graph.
Use this image to classify each pair of lines.
Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD. The lines CD and GH cannot be defined. The lines AB and GH cannot be defined. Lines IJ and CD are perpendicular
What are Parallel and perpendicular lines in terms of slope of lines?Two lines are said to be parallel if : m(1) = m(2).
Two lines are perpendicular to each other if : m(1) x m(2) = -1.
We have to classify the set of these lines as; Parallel, Perpendicular or Cannot Be Determined.
1. Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD.
2. The lines CD and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.
3. The lines AB and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.
4. Lines IJ and CD are perpendicular; because they intersect each other at right angle.
Hence, the solutions to the table are shown above as options.
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You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest.
You currently have some excess cash: $35,000. Due to situations beyond your control, you, as the owner, must make an immediate business decision now to pursue only one of these two choices:
1) sending all of the $35,000 to Citizens Bank as a partial payment on your loan, or
2) using the $35,000 to purchase serving supplies such as food containers, cups, and plastic dinnerware for your inventory. This is the last day to take advantage of the opportunity to save some money due to a special discount price that is "10% off" the normal cost of $35,000 for these items.
Consider these calculations:
(a)
How much interest (in $) will you save on this loan if you make the partial payment and don't purchase the additional serving supplies? (Round your answer to two decimal places.)
$
Incorrect: Your answer is incorrect.
(b)
How much money (in $) will you save if you purchase the serving supplies with the discount and don't make a partial payment on the loan? (Round your answer to two decimal places.)
$
(c)
How much (in $) will you save by purchasing the discounted serving supplies rather than making the partial payment? (Hint: Find the difference between the savings on the supplies found in part (b) and the savings on the loan interest found in part (a). Round your answer to two decimal places.)
$
(d)
What other factors should you consider before making this decision?
The amount saved by repaying the loan early is $831.25
The amount of discount received by purchasing supplies is $3,500
The net amount saved by purchasing supplies rather than repaying loan is $2,668.75
What is ordinary interest?
Ordinary interest is the interest computation that is based on 360-day a year count rather than 365-day year count, hence, in determining the amount saved by paying $35,000 out of the amount due to Citizens Bank, we time-apportion the interest for 90 days with respect to 360 days not 365 days.
Amount saved in interest=$35,000*9.5%*90/360
Amount saved in interest=$831.25
Using the $35,000 to purchase serving supplies, 10% discount is given off the normal cost of $35,000
Amount saved with discount=10%*$35,000
Amount saved with discount=$3,500
The difference between discount on supplies and interest saved=$3,500-$831.25
The difference between discount on supplies and interest saved=$ 2,668.75
The other factors to consider before making the final decisions include, the fact the loan is more important than the supplies because the loan relates to the firm's financing rather than operational needs of supplies
Secondly, the amount saved in interest may be more if another loan of $35,000 can be borrowed elsewhere with significant lower interest rates
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The sum of four and eight times a number is -76.
Answer: x = -10
▬▬▬▬▬▬▬▬▬▬
Given problem,[tex]4 + 8 \times x = -76[/tex]
Find x▬▬▬▬▬▬▬▬▬▬
[tex]4+8(x)-4=-76-4\\8(x)=-80\\\frac{8(x)}{8}=\frac{-80}{8}\\= -10\\x = -10[/tex]
▬▬▬▬▬▬▬▬▬▬
Answer Explained:
Given the keywords sum(add), times(multiply), as well as a number(variable), we can make an equation out of this, which was 4 + 8 * x = -76. We subtracted the sides by 4, then divided both of the sides by the next factor, 8, to get -10.
Thus,
4 + 8 × -10 = -76
Hope this helped you. :)
An inchworm moved 1/2 foot in 10 seconds. An earthworm moved 12 inches in 60 seconds. (12 inches = 1 foot)
Determine if the situation represents a proportional relationship.
Answer:hi
Step-by-step explanation:hello
Write the equation of the line with a slope of 2/7 that passes through the point (3, -4). Write solution in slope intercept form.
The equation of the line with a slope of 2/7 that passes through the point (3, -4) is:
y = (2/7)*x - 34/7
How to write the linear equation?Here we know that the linear equation has a slope of 2/7, so we can start by writing it as:
y = (2/7)*x + b
Now we need to find the value of b, which is the y-intercept.
To find the value of b, we can use the values on the given point, which is (3, -4), This means that when the value of x is 3, the value of y is -4, then we can replace that in the above linear equation, so we will get:
-4 = (2/7)*3 + b
-4 - 6/7 = b
-28/7 - 6/7 = b
-34/7 = b
Then we can conclude that the linear equation is:
y = (2/7)*x - 34/7
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Which funcation has an inverse that is a function b(x)=x^2 +3 d(x)=-9
Functions b(x) is not one-to-one functions as the domain of there inverse is not the range of function then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
Steps of Finding the inverse of a function f(x):
1. First, replace f(x) with y. This is done to make the rest of the process easier.
2. Replace every x with a y and replace every y with an x.
3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.
4. Replace y with In other words, you’ve managed to find the inverse.
5. Remember: the domain of f is the range of and the range of f is the domain of [tex]f^{-1}(x)[/tex].
Using this algorithm, you can find the inverse of non.
for f(x) = x^2 +3
y = x^2 + 3
x = y^2 + 3
y = √x-3
[tex]f^{-1}(x)[/tex] = √x-3
The domain and the range of f'(x) :
domain : [3,∞]
Range : [3,∞]
The domain and the range of f(x) :
Domain: x ∈ R (all real number)
Range: y ≥ 3
Functions b(x) is not one-to-one functions as the domain of there inverse is not the range of function then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
Therefore, for both the given function we cannot find the inverse.
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for the function f(x) = 4x+2, evaluate and simplify the difference quotient
The difference quotient of the function f(x) = 4x + 2 is 4.
What is a function?Functions were originally the idealization of how a varying quantity depends on another quantity.
The given function is,
f(x) = 4x + 2
For a given function f(x), we define the difference quotient as:
[tex]\frac{f(x+ h)-f(x)}{h}[/tex]
Thus, for the given function, difference quotient is given as,
[tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4(x+h)+2-(4x+2)}{h}[/tex]
expanding the brackets we get,
[tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4x+4h+2-4x-2}{h}[/tex]
Solving we get,
⇒ [tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4h}{h}[/tex]
Thus,we get
⇒ [tex]\frac{f(x+ h)-f(x)}{h}[/tex] = 4
Thus, the difference quotient of the function f(x) = 4x + 2 is 4.
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Find the distance between 4 (7,-7) and B (13,0). Write your answer as a radical and as a decimal rounded to the nearest tenth.
The distance between the two points is_____,
or about_____.
Answer:
Distance is [tex]\sqrt{85}[/tex] or 9.2195...
Hope this helps!
Step-by-step explanation:
d = [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
d = [tex]\sqrt{(13 - 7 )^{2} + (0-(-7)^{2} }[/tex]
d = [tex]\sqrt{(6)^{2} +(7)^{2} }[/tex]
d = [tex]\sqrt{36 + 49}[/tex]
d = [tex]\sqrt{85}[/tex]
d = 9.2195444...
The graph of f(x) = x³ has been reflected about the y-axis and vertically shifted up 4 units. Which equations is correct for these transformations ?(choose only one)
a. g(x) = -x³-4
b. g(x) = (-x)³ – 4
c. g(x) = -(x +4)³
d. g(x) = (-x)³ + 4
The transformation of the equation will be f(x) = (-x)³ + 4.
Then the correct option is D.
What is a function?A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate connections.
The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
The function's graph is provided below.
f(x) = x³
If the graph crosses the y-axis, substitute a negative value for x.
The function will then be f(x) = (-x) ³
Add 4 if the graph has been raised by 4 units.
The equation will then be transformed to f(x) = (-x)³ + 4
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What is greater .0048 km or 4800 da m (decimeters)
Answer: 4800 decimeter
Step-by-step explanation:
0.0048 km = 48 dm
4800 dm = 0.48 km
Given f(x) = x^2- 3x + 5, what is f(-2)?
Step-by-step explanation:
f(x) = x² - 3x + 5
f(-2) = (-2)² - 3.(-2) + 5
f(-2) = 4 + 6 + 5
f(-2) = 15
Answer:
Step-by-step explanation:
Comment
In general, f(x) can be thought of as being y. So the equation could read as "Let x = - 2" when y = x^2 - 3x + 5.
Another way of thinking of it is by saying f(-2), wherever you see an x on the right hand side, substitute the value given on the left side (in this case x = - 2
Solution
f(-2) = (-2)^2 - 3x + 5
f(-2) = 4 - 3(-2) + 5 Combine
f(-2) = 4 + 6 + 5 Add
f(-2) = 15
Which of the following represents an EFFICIENT point of production?
A. Point B
b. Point A
c. Point D
d. None
Answer:
d none
Step-by-step explanation:
because they are sloping down
LA Fitness charges $50 to be a member and $2 each
time you attend the gym. 24 Hour Fitness charges $4
each time you attend the gym and $30 to be a
member.
After how many visits to the gym will the cost be the
same?
10 visits
9 visits
6 visits
7 visits
8 visits
Answer:
10 visits
Step-by-step explanation:
Let's model the expressions:
LA Fitness = 50 + 2x24 Hour Fitness = 30 + 4xNow set them to equal each other to find x, the number of visits
50 + 2x = 30 + 4x Subtract 2x
50 = 30 + 2x Subtract 30
20 = 2x Divide by 2
10 = x
After 10 visits to the gym, the cost will be the same.
A line has a slope of 1/10 and passes through the point (-10, 4). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{10} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ \cfrac{1}{10}}(x-\stackrel{x_1}{(-10)}) \implies y -4= \cfrac{1}{10} (x +10) \\\\\\ y-4=\cfrac{1}{10}x+1\implies {\LARGE \begin{array}{llll} y-\cfrac{1}{10}x+5 \end{array}}[/tex]
The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY).
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
Simplify the following equation:
Answer:
The answer is 4!
The longest river in Africa is the Nile it is 2455 KM longer than the Congo river also in Africa the sum of the lengths of these rivers is 11,195 KM what is the length of each river 
The length of river Nile is 6825 KM and the length of river Congo is 4370 KM
Calculating lengthsFrom the question, we are to determine the lengths of the each river
From the given information,
"The longest river in Africa is the Nile it is 2455 KM longer than the Congo river"
Let the length of river Nile be N
and the length of river Conge be C
Thus,
N = C + 2455
Also,
"the sum of the lengths of these rivers is 11,195 KM"
That is ,
N + C = 11195
Substitute the first equation into the second equation
N + C = 11195
C + 2455 + C = 11195
2C + 2455 = 11195
2C = 11195 - 2455
2C = 8740
C = 8740/2
C = 4370
Substitute the value of C into the first equation
N = C + 2455
N = 4370 + 2455
N = 6825
Hence, the length of river Nile is 6825 KM and the length of river Congo is 4370 KM
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Question
To save for a down payment on a home, suppose you decide to invest in an annuity that pays 7.0% annual interest,
compounded annually. If you contribute $8,000 every year for 5 years, how much interest would you earn during the
5 years? Enter your answer, rounded to the nearest cent, without the dollar sign or comma ($21,678.1235 should be
entered as 21678.12.)
If you contribute $8,000 every year for 5 years, the interest would you would earn during the 5 years is:6005.91
What is future value of annuity?
The future value of the annuity means the future worth of 5 annual contributions of $8000 every year, based on the fact that the deposits would earn 7.0% interest rate every year, in short, the worth of the savings in 5 years can be determined using the future value of an ordinary annuity as shown below:
FV=PMT*(1+r)^N-1/r
FV=accumulate balance after 5 years=unknown
PMT=annual savings=$8,000
r=interest rate per year=7.0%
N=number of annual payments over 5 years=5
FV=$8000*(1+7.0%)^5-1/7.0%
FV=$46,005.91
Total deposits in 5 years=$8000*5=$40,000
Interest =FV-total deposits
interest=$46,005.91-$40,000
interest=$6,005.91
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Use Table 12-2 to solve.
Ron Sample is the grand prize winner in a college tuition essay contest awarded through a local organization's scholarship fund. The winner receives $8,000 at the beginning of each year for the next 5 years. How much (in $) should be invested at 6% interest compounded annually to award the prize? (Round your answer to the nearest cent.)
$
Based on the amount that Ron Sample gets at the beginning of each year, the number of years, and the interest compounded annually, the amount that should be invested to award the price is $35,720.80.
How to find the invested amount?The value of $8,000 is constant which makes it an annuity. However, it comes at the beginning of each year which makes it an annuity due.
The amount to be invested to gain this $8,000 every year is therefore the present value of this annuity due based on the interest rate.
Present value of annuity due = Annuity due x (Present value interest factor of annuity due, 6%, 5 years)
= 8,000 x 4.4651
= $35,720.80
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NEED ALL ANSWERS PLEASE NUMBER THEM PLEASE:)))
Answer:
6. B
7. C
8. C
Step-by-step explanation:
6.
3x
------- = 1.5 (x + 1)
x + 1 (x + 1)
3x = 1.5 (x + 1)
3x = 1.5x + 1.5
-1.5x -1.5x
1.5x = 1.5
x = 1
7.
2x + 3y = 15
(x + y = 3)-2
2x + 3y = 15
-2x - 2y = -6
----------------------
y = 9
x + y = 3
x + 9 = 3
-9 -9
----------------
x = -6
(x, y) = (-6, 9)
8.
(-4x + y = 4) -2
-8x + 2y = -2
8x - 2y = -8
-8x + 2y = -2
--------------------
-10
No Solution
I hope this helps!
find negative 2 and 2/5 + 4/5
Answer:
[tex] - \frac{8}{5} [/tex]
Step-by-step explanation:
[tex] - 2 \frac{ \\ 2}{5} + \frac{4}{5} = - \frac{8}{5 \\ } [/tex]
Need help with this please
Answer:
Step-by-step explanation:
185miles / 75mph = 2.5 hours
Ahmed has L.E. 15 He went to the market and spent 725 piastres. find a The ratio between the money he spent and the total sum he had b The ratio between the money left and the total sum he had. The ratio between the money left and the money he spent.
The ratio between the money he spent and the total sum he had , the ratio between the money left and the total sum he had, the ratio between the money left and the money he spent. are 29:60, 31:60 and 31:29 respectively.
Ahmed has L.E. 15 which when converted in piastres, it is 1500 piastres
He spent 725 piasters and the money left with Ahmed is 1500-725 which is 775 piastres
The ratio between the money spent and the total sum is 725:1500 which is simplified to 29: 60 by dividing both with anything which is common in both that is 25
The ratio between the money left and the total sum he had is 775:1500 which is simplified to 31:60 by dividing both with anything which is common in both that is 25
The ratio between the money left and money spent is 775:725 which is simplified to 31:29 by dividing both with anything which is common in both that is 25
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Algebraic fraction equations
Solving question
Answer:
10x-11 over 4
Step-by-step explanation:
step1:find common denominator
step 2:apply the distributive property
step3: remove the parentheses for addition or subtraction
step4: reorder and gather like terms
step5: collect co-efficients of the like terms
step6: calculate the sum or difference
Which type of sampling is being used in this scenario: a school
administrator gets the alphabetical list of students and chooses every
third one to survey.
A:Cluster
B:Convenience
C:Stratified
D:Systematic
The given scenario, "A school administrator gets the alphabetical list of students and chooses every third one to survey", is Systematic Sampling.
In the question, we are asked to identify the type of sampling used in the scenario: "a school administrator gets the alphabetical list of students and chooses every third one to survey", among cluster, convenience, stratified, and systematic.
First, we will understand all these types of sampling:-
Cluster Sampling: By segmenting the population into clusters, usually, geographically, cluster sampling is performed. These units are referred to as blocks or clusters. The clusters are chosen at random, and each component in the chosen clusters is used.Convenience Sampling: Convenience sampling is the most straightforward method, but it should never be used. Convenient data are utilized in convenience sampling. These are the first individuals the surveyor encounters.Stratified Sampling: The population is also divided into groups known as strata via stratified sampling. This time, though, it is based on a characteristic rather than a location.Systematic Sampling: In systematic sampling, the elements are "counted off" from the list. Every kth element is thus taken. Comparable to having everyone in a line and counting off "1,2,3,4; 1,2,3,4; etc." All those numbered 4 would be used once the list had been completed.In the given scenario, the school administrator is getting the list of students in alphabetical order, similar to taking everyone in a line and counting off "1,2,3,4; 1,2,3,4; etc. And then he is choosing every third student, similar to choosing all those numbered 4.
Thus, the given scenario, "A school administrator gets the alphabetical list of students and chooses every third one to survey", is Systematic Sampling.
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