Answer:
k=10
do long or synthetic division. the quotient = 3x + 22 with remainder 81
with long division first divide x into 3x^2 to get 3x. Then
3x times (x-4) = 3x^2-12x
subtract that from 3x^2+kx to get (k-12)x bring down the -7 to get
(k-12)x -7
you want a remainder of 81, so you want -4 times a constant to = -88 (-7-(-88)=81
4 x 22 =88. 22 is the constant
22=12+k
k=10
Step-by-step explanation:
lmk if i helped!
I need help with this
24,501.42 cubic meters
Step-by-step explanation:
The equation for volume of a cylinder is:
A=πr²h
A= area
r= radius
h=height
let's plug in the numbers
A=π×17²×27
(the radius is half of the diameter; 34÷2=17)
Let's use 3.14 as pi
A=3.14×289×27
A= 24501.02 cubic meters
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number of hours of daylight varies sinusoidal over a period of twelve months. Sketch the graph then use this data to find the following:
We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
Daylight time June trough to December
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as
[tex]A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}[/tex]
A=2
vertical shift =[tex]\frac{Max-min}{2}[/tex]
vertical shift =[tex]\frac{14-10}{2}[/tex]
vertical shift =1
Therefore, the time is given as
[tex]t=\frac{2\pi}{b}[/tex]
Where
[tex]b=\pi/6\\\\t=\frac{2\pi}{\pi/6}[/tex]
Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
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Put this into Slope Intercept Form
x + 6y = –6
Answer:
[tex]y=-\frac{x}{6} -1[/tex]
Step-by-step explanation:
Hi there!
We are given the following equation:
x+6y=-6
And we want to convert it into slope-intercept form
Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept
The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients
Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side
So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y
Here is our equation again:
x+6y=-6
Start by subtracting x from both sides
x+6y=-6
-x -x
_______________
6y=-x-6
Now divide both sides by 6
[tex]y=-\frac{x}{6} -\frac{6}{6}[/tex]
We can simplify the fractions to become:
[tex]y=-\frac{x}{6} -1[/tex]
Hope this helps!
See more on converting from standard to slope-intercept form here: https://brainly.com/question/26579052
I need help. I will give 15 points for the answer
PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?
find the measure of the indicated angle
Answer:
B=53
C=127
D=127
Step-by-step explanation:
Need the answer really struggling
Answer:
B and C are true.
Step-by-step explanation:
The triangle is reflected across x axis. So option 1 incorrect.It is translated 2 units to the right.B and C are correct.Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106. 40 in interest. How much had Mrs. Ming invested in the account paying 6%? $117 $680 $760 $820.
Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680
How to calculate interest after 1 year if the rate of interest is R% annually?Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)
The interest for 1 year will be [tex]\dfrac{P}{100} \times R[/tex]
Let we have the initial amount spent in account paying 8% interest rate as $x
Let for 6% interest paying account, initial amount was $y
Then, by the given data, we have:
[tex]x + y = 1500[/tex]
and
[tex]\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6= 106.40\\\\8x + 6y = 10640\\4x + 3y = 5320[/tex]
Thus, we got a system of linear equations as :
[tex]x + y = 1500\\4x + 3y = 5320[/tex]
From equation 1, getting value of x in terms of y, we get:
[tex]x = 1500 - y[/tex]
Substituting this value in second equation, we get:
[tex]4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680[/tex]
Putting this value of y in the equation we got for x,
[tex]x = 1500 - y\\x = 1500 - 680= 820[/tex]
Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820
and for 6% interest paying account, initial amount was $y = $680
Thus,
The amount invested by Mrs. Ming in the account paying 6% was $680
Learn more about system of linear equations here:
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M
The person is 6 feet tall and casts a shadow of 3.2 feet. The building casts a
shadow of 18.5. How tall is the building? Round to the nearest
hundredth.
Answer:
34.69 feet
Step-by-step explanation:
First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.
Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.
You sell triangular flags made from felt. How much felt do you need to make 60 flags?
Answer:
61.
Step-by-step explanation:
because you make 60 flags then you will need 61.
61 felt do you need to make 60 flags.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
You sell triangular flags made from felt.
so, 61 felt do you need to make 60 flags.
because you make 60 flags then you will need 61.
To earn more on addition click:
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#SPJ2
MULTIPLE CHOICE QUESTION
ers
What is 0.25 as a fraction?
Answer:
1/4
Explanation: 0.25 multiplied by 4 is 1. This shows that 0.25 is 1/4 of 1
A saleswoman earns 30% commission on all the merchandise that she sells. Last month she sold $700 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
$210
Step-by-step explanation:
Merchandise sold = $700
Commission = 30%
30% of $700 = 0.3 x 700 = $210
Hence, the saleswoman earn $210 in commission.
[RevyBreeze]
give me the answer pease help
Answer:
D. [tex]9(y+3) and 27+9y[/tex]
Step-by-step explanation:
The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.
Which statement correctly describe the data shown in the scatter plot?
The scatter plot shows a negative association.
The point (2, 14) is an outlier.
The scatter plot shows a linear association.
The scatter plot shows no association.
A graph measuring variable y in relation to variable x. Multiple coordinates indicate a pattern of variable y increasing as variable x increases
Answer:
Hello! I wanted to explain the answer which someone might have already answered.. First off, I want to let you know that the Answer is "The scatter plot shows a linear association." But how? Well, linear means: "arranged in or extending along a straight or nearly straight line." Which if you didn't notice.. All the points on the graph, make up a generally straight line.
"No association" means there is no line or association with any of the points. So, you'd pick that if the points were all over the graph in no order, line or combination; which isn't the case.
"Negative association" is when the top of the points come from the left of the graph lowering into the right. While Positive association would be from right to left. So, it couldn't be choice "Negative Association" since it's coming from right to the left of the graph.
"The point (2, 14) is an outlier." If you didn't know, an outlier is one dot out of a whole group. Think of it as if EVERYONE was wearing pink except one; who wore black. It's just the out of placed kind of dot; but it's supposed to be there. When you look at the graph, there is no dot or outlier at point (2,14) so, that's automatically out as well.
Ending with the last choice "The scatter plot shows a linear association." which is not just true but is the only one that'd make since. So, I hope this helped you!
I HOPE THIS HELPS YOU! BE SAFE :)
Answer:
The scatter plot shows a linear association
Step-by-step explanation:
credit goes to ssanc053
PLS I WILL GIVE YOU 23 POINTS IF YOU ANSWER ME CORRECTLY
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
She shaded off 1/8 of the fraction strip.
Enjoy ;)
Answer:
a 8 parts b 8 3|4 3 × 4|4 × 2= b 8
Step-by-step explain
· Amani and Danielle are buying hair spray. They can buy 4 bottles of Rave and 5 bottles of Max for $30.00, or
they can by 1 bottle of Rave and 1 bottle of Max for $6.50. If r is the cost of a bottle of Rave and m is the cost
Fa bottle of Max, how much does each bottle of hair spray cost?
Answer:
3.25, I don't know, I'm in like 1st grade
Step-by-step explanation:
Look at the screen shot
Answer:
M- MONICA
Step-by-step explanation:
Can you guys help me, I'll really appreciate it, I need this to 14 February ill give you 30 points
Answer:
1. f(x) Domain [-3,∞) Range [0,∞)
2. g(x) Domain (-∞,∞) Range [√3, ∞)
3. h(x) Domain [3,∞) Range [0,∞)
4. i(x) Domain (-∞,-√3]∪[√3,∞) Range [0,∞)
5. j(x) Domain (-∞,∞) Range [0,∞)
6. k(x) Domain (-∞,∞) Range [0,∞)
7. f(x) Domain (-∞,∞) Range [3,∞)
Exercise 2 : no there is not an inverse. in about to have an inverse you have to have x and y. yes. if you restrict the domain of the finction so that its 1 to 1 which creates a new function youll have an inverse.
Fill in the table above.
What’s the ratio of cost to bags of salad?
How much does one bag of salad cost (unit rate)?
Solve the problems involving slope.
1. Based on the graph, what is the slope
of the line?
y = 2x - 3
Sean is filling his truck with gasoline. He knows the total cost, C, will be proportional to the
number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in
.
the tank, the cost is $23.63.
(a) Find the ratio of the cost to the gallons as
(b) What is the real world meaning of your
a unit rate. Show the division as a fraction answer in (a)?
and then state the answer with appropriate
units.
(c) If c is the cost and g is the number of
gallons bought, write a proportion
involving c and g and then solve it for c.
(d) If Sean puts 17 gallons of gasoline into
his truck, what is his cost? Justify.
Part (a)
Divide the total cost over the number of gallons to get the unit cost
(23.63)/(8.5) = 2.78
Answer: 2.78=======================================================
Part (b)
The result of the previous part indicates the gas costs $2.78 per gallon.
=======================================================
Part (c)
c = cost in dollars
g = number of gallons bought
cost/gallons = cost/gallons
c/g = (23.78)/(8.5)
c/g = 2.78
c = 2.78g
This fits with what part (b) mentioned. The 2.78g means "2.78 times g".
Answer: c = 2.78g=======================================================
Part (d)
Plug g = 17 into the equation found in part (c)
c = 2.78g
c = 2.78*17
c = 47.26
Answer: $47.26A ____ is a measuring stick that represents the actual wall frame, with markings made at the proper height for every horizontal member of the wall frame.
Answer:
Story Pole
Step-by-step explanation:
Source : Trust me bro
Find the product of 2x4(2x2 3x 4). 2x8 3x4 4x4 4x6 6x5 8x4 4x4 3x5 2x6 3x6 4x5 5x4.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given expression is simplified as:
[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]
Thus,
The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
Learn more about product of polynomials here:
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Answer:
4x^6 + 6x^4 + 8x^4
Step-by-step explanation:
its the only option with a 6 in the 2nd term.
Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
Place points on the graph to show your activity for last week and this week
Answer:
You decide that you will spend 2 times as many hours outdoors as you spend watching TV.
Let the hours spent outdoors be = o
Let the time spent on watching tv be = t
So, general equation becomes o=2to=2t
Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
When t = 4
o = 2(4) = 8 hours
When t = 8
o = 2(8) = 16 hours
We have been asked to place points on the graph to show your activity for last week and this week.
Please find attached the points display.
hope it helps.PLSSS HELP IF YOU TURLY KNOW THISS
Answer: A
Step-by-step explanation:
Write a multiplication sentence that proves the division sentence -30/5 = -6 is correct.
Answer:
he believed governing is very hard and needs help
Answer:
5 * -6 = -30
Step-by-step explanation:
You just have to do the reverse of the already existing division problem.
Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)
7x + 1
_____=1/2
16
Answer: 1
Step-by-step explanation:
16 * 1/2 = 8
7x + 1 = 8
7x = 7
x = 1
Answer:
x = 1
Step-by-step explanation:
[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]
Hope it helps ⚜
Please help if you answer correctly I will give brainliest thank you!!!!!!!!
Answer:
The Answer is C
Step-by-step explanation:
3x-4y=5
2x+4y=-3
This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.
The other equations are wrong because their is extra work needed to eliminate the values.
Identify the shapes, using the names studied in this lesson
Answer: Rhombus
Step-by-step explanation:
It is a rhombus because all sides are equal and opposite sides are parallel.
Answer:
parallelogram
Step-by-step explanation:
Because the sides are parallel to each other.
1 9 5 ÷(− 3 2 )×(−2 7 1 )
Answer:
1651.40625
Step-by-step explanation:
Multiplying or dividing an even number of negative terms equals a positive.
195÷32×271
Using the rule of BODMAS,
(D) Division first.
195÷32 = 6.09375
(M) Multiplication next.
6.09375×271 = 1651.40625
Alternate form ↓
52845
32
OR
1651¹³/32