Answer:
4/5x + 7
Step-by-step explanation:
the slope-intercept form is y = ax+b
a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4
There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5
b is the intercept to get it use the point (0,7)
so y = 4/5x+b, 7 = 4/5 * 0 + b, then b = 7
There are about 208,000,000,000 different 8-letter passwords that can be formed using a 26-letter alphabet.
Express this number using scientific notation.
Answer:
2.08 × 10^11
Step-by-step explanation:
A television is on sale for $75 off,
The price of the television with the sale is $300,
If you use the equation n - 75 = 300 to solve this problem, what does n represent?
The term n is the initial amount that the television is to be sold.
What is the meaning of n?We are told that the television in this case is to be sold at a discount piece. The implication of this is that there is something that has to be removed from the price of the television as it is sold.
We are told that what they are to remove from the price of the television is about $75 and that when this is done, the price of the television would be about $300. Thus n is the original price of the television.
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The variable n represents the initial value of the television
How to interpret the variable nFrom the question, we have the following parameters that can be used in our computation:
Amount off = $75
New price = $300
When represented as the equation, we have
n - 75 = 300
Add 75 to both sides of the equation
So, we have the following representation
n = 375
This means that the initial price of the television is $375
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George decided to accept a 20% drop in his salary during 2020.By what percentage must George's salary increase to get back to where it was before the salary drop during 2020
Answer:
25%
Step-by-step explanation:
Let George's salary = $50,000 per year
If his salary dropped by 20%, then his salary would be 80% of his previous salary (as 100% - 20% = 80%).
Convert 80% to a decimal: 80% = 80/100 = 0.8
Therefore, 80% of 50000 = 0.8 x 50000 = $40,000
We wish to increase his salary back to the original amount of $50,000.
The difference between the two salaries is : 50000 - 40000 = 10000
Therefore, we need to calculate the percentage that $10,000 is of $40,000.
⇒ (10000 / 40000) x 100 = 25%
So George's salary needs to increase by 25% to get back to where it was before the salary drop.
What does is 9 times 9
Answer:
81
Step-by-step explanation:
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Answer:
y=8
Step-by-step explanation:
Hope this helps!!
Are the expressions 4a+(5a+3c) and (4a+5a)+3c equivalent? If so, determine what property can be applied to determine that they are equivalent.
Answer:
Yes, they are equivalent expressions, by the Associative Property
Step-by-step explanation:
Both of these expressions are equal to:
4a + 5a + 3c
(and then, 9a + 3c)
This is all adding so you can add them all up without any of the parentheses. In the question at first the parentheses are grouping together the 5a and 3c, but in the second expression they are wrapped around the 4a and 5a. But in both expressions the order of the three terms does not change. Only the grouping changes. The terms are grouped differently, but the order DOES NOT change. This is Associative property. If the order changes it is Commutative property.
Olde wine corporation has 250000 shares of $40 par common stock outstanding. On February 15, olde wine corporation declared a 2% stock dividend to be issued may 2 to stockholders of record
See screenshot below! :^)
Hope this helps! :^)
PLEASE HELP I CANT FIGURE THIS OUT!!!!!
What are the first five terms of the recursive sequence?
9, 30, 93, 282, 849
====================================================
Explanation:
The first term is 9 because of the notation [tex]a_1 = 9[/tex]
To get the second term, we use the recursive rule given to us which is
[tex]a_n = 3a_{n-1} + 3[/tex]
I recommend using parenthesis to separate things like this
[tex]a_n = 3(a_{n-1}) + 3[/tex]
If n = 2, then,
[tex]a_n = 3(a_{n-1}) + 3\\\\a_2 = 3(a_{2-1}) + 3\\\\a_2 = 3(a_{1}) + 3\\\\a_2 = 3(9) + 3\\\\a_2 = 27 + 3\\\\a_2 = 30[/tex]
The second term is 30.
You can use the same idea as above to find the third term, or you can use this slightly different approach
[tex]\text{third term} = 3*(\text{second term}) + 3\\\\\text{third term} = 3*(30) + 3\\\\\text{third term} = 90 + 3\\\\\text{third term} = 93[/tex]
To generate any new term, we first triple the previous term and then add on 3.
HELP QUICK!!!
complete the equation represents the relationship between C and A.
Answer:
a = 11c - 4
Step-by-step explanation:
7,18,29,40
constant difference = 11
now,
an = a+(n-1)d
or, an = 7+(n-1)11
or, an = 7 + 11n - 11
or, an = 11n - 4
The bull’s-eye on a target has a diameter of 5 inches. The whole target has a diameter of 13.5 inches. What part of the whole target is the bull’s-eye? Enter your answer as a decimal.
Answer:
13.71% or rounded we have 14%
Step-by-step explanation:
We need to find the area so we need to use the formula of Area = piR^2
>> Area of bulls-eye = π(2.5)^2 = 19.63in^2
>> Area of whole target = π(6.75)^2 = 143.13in^2
NOTE: The target values above are halved values of 5 and 13.5
Now, all we have to do is divide the area of the bullseye by the area of the target, so some simple stuff.
19.63/143.13 > 0.13714804 > In a percent we have 13.71% or rounded we have 14%
Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
Answer: y = -1.62[tex]x^{2}[/tex] + 34.89x-5.57
Step-by-step explanation:
If you plug in these points into a TI-84 and use the quadratic regression function, then you'll get this answer.
The number of students taking classes at RSM Branch A is 1 4 more than the number of students taking classes at RSM Branch B. If Branch A has 1,650 students, how many students does Branch B have? Write an equation that shows the relationship between the number of students at the two branches, A and B.
The equation illustrates that the number of students that Branch B have will be 2100.
How to solve the equationFrom the question, the number of students taking classes at RSM Branch A is 1.4 more than the number of students taking classes at RSM Branch B. If
Since Branch A has 1,650 students, the number of students that Branch B have will be:
= 1500(1.4)
= 2100
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Tree A started at 5 feet and grew at a rate of 2 feet per month. Tree B started at 8 feet and grew at a rate of 3 feet per month.
Directions: Write a system of equations. DO NOT SOLVE
Answer:
Step-by-step explanation:
5 + 2x = y
8 + 3x = y
Answer:
Tree A equation: y = 2x + 5. Tree B equation: y = 3x + 8.
Step-by-step explanation:
The rate at which the tree's grow each month is m (y=mx + b) and the starting length of the trees is b (y=mx+b). Once you know those values plug them into the equation.
Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
Answer:
The slope is 3/1
Y-intercept is at 0,1
Step-by-step explanation:
What is the probability of hitting the centre if a dart is thrown four times
Answer:
Step-by-step explanation:
If it is on a regular dart board and the dart is thrown four times, the probability of hitting the centre would be slim (obviously) but to be more precise it would be 1/4 - if not none at all.
I know this isn't as specific but I hope it will help :)
Write an equation.
A line that has a slope of 4 and goes through the point (3,7).
Answer:
y=4x+c now put (-3,7) into the equation to find the y intercept. 7=4×−3+c. 7=−12+c. c=19.
Step-by-step explanation:
y=mx++c is the general equation with m as the slope.
PLease hurry! i need it! And the testing thing is happening, so before 6 pm?
[tex]\begin{cases} -x+3y=9\\\\ y=\cfrac{2}{3}x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -x+3y=9\implies 3y=9+x\implies \underline{3y-9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting ont the 2nd equation}}{y=\cfrac{2}{3}(\underline{3y-9})\implies 3y=2(3y-9)}\implies 3y=6y-18\implies 18+3y=6y \\\\\\ 18=3y\implies \cfrac{18}{3}=y\implies \boxed{6=y}[/tex]
add the mixed numbers.
6 2/5 + 7 1/4
Answer:
[tex]\frac{603}{20}[/tex]
Step-by-step explanation:
[tex]\frac{248}{20} +\frac{355}{20} \\\\\frac{248+355}{20} \\\\\frac{603}{20}[/tex]
can someone help me with this
Step-by-step explanation:
1. cd and dg
2. angle 2
3. angle gde
4. angle cdh
5. cde is st line
6.cdf = cdh+hdf = 42+117= 159
7. angle fde = 90-73=17
kris used 7 5/12 inches of tape to wrap her brother's gift and 6 9/12 inches of tape to wrap her sister's gift. what is the total amount of tape kris used to wrap the gifts?
A. 13 1/6
B. 14 1/6
C. 13 1/12
D. 14 1/12
Answer:
14 1/6
Step-by-step explanation:
[tex]7\frac{5}{12} +6\frac{9}{12} =13\frac{14}{12} =14\frac{2}{12} =14\frac{1}{6}[/tex]
plssss help!!!!!! #1
Step-by-step explanation:
According to the diagram:
The base is 6 unitsThe height is 3 unitsThe area is:
A = bh = 6*3 = 18 units²PLEASE HELP!!!!
Geometric Mean Maze
Special Right Triangles Maze
Pythagorean Theorem Maze
Special right triangles are triangles whose sides are in a particular ratio, known as Pythagorean Triples. In geometry, the Pythagorean Theorem is a statement that shows the relationship of the sides of a right triangle. ... The two special right triangles include: 45°; 45°; 90° Triangle
(BRAINLIEST PLEASE)
How many 6-digit whole numbers have the digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them?
There are 1680 digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them
How to determine the selectionTo determine the number of whole numbers, the following must be true
Case 1: If the sequence starts from the first digit
The first digit can be any of the three 2's (i.e. 3 digits)The second digit can only be 0The third digit can be any of the remaining 2's (i.e. 2 digits)The fourth digit can only be the last 2 (i.e. 1 digit)The fifth digit can be any of 0 - 9 (i.e. 10 digits)The sixth digit can be any of 0 - 9 (i.e. 10 digits)So, we have:
[tex]Case\ 1 = 3 * 1 * 2 * 1 * 10 * 10[/tex]
[tex]Case\ 1 = 600[/tex]
Case 2: If the sequence starts from the second digit
The first digit can be any of 1 - 9 (i.e. 9 digits)The second digit can be any of the three 2's (i.e. 3 digits)The third digit can only be 0The fourth digit can be any of the remaining 2's (i.e. 2 digits)The fifth digit can only be the last 2 (i.e. 1 digit)The last digit can be any of 0 - 9 (i.e. 10 digits)So, we have:
[tex]Case\ 2 = 9 * 3 * 1 * 2 * 1 * 10[/tex]
[tex]Case\ 2 = 540[/tex]
Case 2: If the sequence starts from the third digit
The first digit can be any of 1 - 9 (i.e. 9 digits)The second digit can be any of 0 - 9 (i.e. 10 digits)The third digit can be any of the three 2's (i.e. 3 digits)The fourth digit can only be 0The fifth digit can be any of the remaining 2's (i.e. 2 digits)The last digit can only be the last 2 (i.e. 1 digit)So, we have:
[tex]Case\ 3 = 9 * 10 * 3 * 1 * 2 * 1[/tex]
[tex]Case\ 3 = 540[/tex]
The total number of whole numbers is:
[tex]Total = 600 + 540 + 540[/tex]
[tex]Total = 1680[/tex]
Hence, there are 1680 6-digit whole numbers that the digits
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Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
Given :-
A equation y = 3x -1 .To Do :-
To identify slope and y intercept and then sketch it's graph .Solution :-
Given equation to us is ,
→ y = 3x -1
As we know that , the slope intercept form of the line is ,
→ y = mx + c
where m is the slope and c is the y intercept .On comparing both , we have ,
slope = 3 y intercept = -1 .So the graph will cut the y axis at (0,-1) . And will have a slope of 3 .
When y coordinate is 0 ,
say the point is (x,0) .So that ,
→ x - 0 / 0 -(-1) = 3
→ x/0+1 = 3
→ x/1 = 3
→ x = 3
Hence one other point is (3,0 ).
Now we may plot the graph using these two points (3,0) and (0,-1) .
For graph see attachment .
I hope this helps .
Marcia bought a 500 g packet of flour. She used some flour to bake a cake, and she used two thirds of the remaining flour to make some scones. She used 60 g more flour for the cake than for the scones. How much flour did Marcia use for the cake?
Answer:
The answer should be 236g.
Step-by-step explanation:
If we take the amount of flour used for the cake as 'x,' the flour used to make the scones would be (500-x)×2/3 as 2/3 of the remaining is used for the scones.
We know that 60g more flour is used for the cake.
So,
x-60=(500-x)×2/3
Cross multiply, and brng the 3 to the other side.
3(x-60)=(500-x)2
3x-180=1000-2x
Bring the x-terms to one side and the numbers to one side.
3x+2x=1000+180
5x=1180
Divide both sides by 5 to find x(the amount of flour used to make the cake)
Therefore,
x=236g
of the three pools described , model ______ needs the largest amunt of water to be completely filled
Answer:
this pool has a length 18 feet and a width of [tex]9\frac{3}{4}[/tex] feet. The maximum depth of water is [tex]4\frac{1}{2}[/tex] feet .
THIS IS DUE IN 2 MINUTES! I WILL GIVE BRAINLIST ASAP! Colton practices the piano 413 minutes in 1 week. If t represents the total time he practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
Answer:
59
Step-by-step explanation:
Based on the given conditions, formulate: 413 divided by 7
Cross out the common factor:59
get the result:59
Answer: 59
Colton practices for 59 minutes a day
Answer:
t = 59(d)
Step-by-step explanation:
done ✅
brainliest please
Use the diagram of parallelogram ABCD to find the length of each side.
Answer:
Side BC and AD are the same lengths so a=21
Side BC = 14
Side AB = 37
Side CD = 37
Step-by-step explanation:
Hope this helps!
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6) Write the equation, g(x), that is 9 units below f(x) = 3^X+ 2.
Answer:
g(x) = 3^x -7
Step-by-step explanation:
In an exponential function like this, the constant at the end of the function represents the vertical shift. This means that the original function is shifted 2 units up. So, 9 units lower than +2 is -7. Thus, the new function, g(x), is g(x)=3^x - 7.
We can prove that g(x) is 9 units lower through y-intercepts. The function f(x) has a y-intercept of 3 and g(x) is -6. Since -6 is 9 lower than 3, we know that there is a 9 unit difference between the functions.