We need 16 in the given expression to create a perfect square trinomial.
Let us say the given expression is:
[tex]x^{2} +8x +k^2[/tex]...............(1)
We can rewrite the above expression as:
[tex]x^{2} +2*x*4 +k^2[/tex].........(2)
What is (a+b) squared?The square of a+b is a²+2ab+b².
If we compare (2) with [tex]a^{2} +2ab+ b^{2}[/tex]
We get, a =x, b = 4 and k²=b²
Since b=4
So, k² =4²
k² =16
Put the value of k² in (1)
We get the expression [tex]x^{2} +8x +16[/tex]
Therefore, We need 16 in the expression [tex]x^{2} +8x+....[/tex]to create a perfect square trinomial.
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Answer: OPTION C aka 16
Step-by-step explanation:
Write a ratio that simplifies to 3:4
can you please help me?
Sue and Jesse go to a restaurant for lunch. A 8% sales tax is applied to their $24.60 bill. If sue and Jesse add a 16% percent tip after the tax applied,what is the total cost including tip?
Answer:
19.01
Step-by-step explanation:
24.60 - 8% = 22.632
Your going to round and its gonna be 22.63
Now your gonna subtract 16% from 22.63 = 19.0092
If you round your total will be 19.01
I hope this helps!
( Can you mark me brainliest )
Which fraction is equivalent to 12⋅43÷56?
Answer:
9/3
Step-by-step explanation:
12x43=168
168 divided by 56=3
Daniel is currently 26 years older than his son. In six years he will be three times older
than his son. How old are both of them now?
Answer: sorr i onlyknow ti ar
Step-by-step:
Daniel is...remember "is" in a word problem means "equal"
So Daniel=x+26. x representing Daniel's son's age which we do not know.
In six years he will be three times his son's age, "times" meaning multiplication.
Daniel+6=3x, so just equate the two equations. So you must solve;
x+26=3x-6. From there I think you could handle things.
i will make you Brainliest if you know what fraction is equal to 1.5
Answer:
3/2
Step-by-step explanation:
There are a lot of fractions that equal 1.5, but if you're asking for the most simplified fraction, 3/2 is the answer.
If is an angle in standard position and its terminal side passes through the point
(-1,-8), find the exact value of tan in simplest radical form.
Check the picture below.
PLEASE HELP!!! I WILL GIVE BRAINLIEST I NEED THESE!!
15. There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.
16. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50. Write and solve an equation to find the number of hours that you rented the canoe.
17. The cost (in dollars) of making n birthday cakes is represented by
C = 24n + 35
How many birthday cakes are made when the cost is $395?
Answer:
the fist one = 160 - 24
the second one = 12.50 / 5
Step-by-step explanation:
Answer:
15. equation: g+24=160, and the answer is g=136
16. equation: 5d=12.50, answer is d=3.5 hours
17. 15 cakes are made when the cost is $395
Step-by-step explanation:
15: You know that there are 160 students in 7th grade. This would be on one side of the equal sign. You know that there are 24 more students in the 7th grade class than the 8th grade class. And we know that g represents the number of students in the 8th grade class. So you set up your equation as g+24=160. You would subtract 24 from both sides: g+24-24=160-24, which gives you g=136.
16: You spend $5 an hour, so, on one side, you will have 5. On the other you will have $12.50. We will let d represent dollars, and it will go with the 5 to give us 5d. The equation is 5d=12.50. From there, you will divide 5 from both sides: 5d/5=12.50/5, which gives you d=3.5.
17: So, we have the equation, and we just plug in what we know. So, $395=24n+35. From there, we will subtract 35 from both sides. That would give us $395=24n and we will divide 24 from both sides to give us n=15 cakes.
Given: A (2, 3) and B(-1,4)
Can someone pls awnser this fast
Answer:
[tex]\sqrt{10}[/tex]
The correct answer is C
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
=(−1−2)2+(4−3)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−3)2+(1)2‾‾‾‾‾‾‾‾‾‾‾‾√
=9+1‾‾‾‾‾√
=1‾√0
=3.162278
2 determinar el valor del patrimonio con los siguientes datos Caja= 10,000 Bancos= 13,500 Cuentas por pagar= 8,000 Documentos por pagar= 4,000 Equipos de computación= 2,400 Documentos por cobrar= 5,100 Intereses por pagar= 1,200 es contabilidad pero no se cual es en ingles
Answer:
PN= $17,800
Step-by-step explanation:
La formula general para calcular el activo de una empresa es la siguiente:
A= PN + P
El activo es igual al patrimonio neto y el pasivo.
Debemos intercambiar los términos:
PN= A - P
Activo:
Caja= 10,000
Bancos= 13,500
Equipos de computación= 2,400
Documentos por cobrar= 5,100
Pasivo:
Cuentas por pagar= 8,000
Documentos por pagar= 4,000
Intereses por pagar= 1,200
PN= 31,000 - 13,200
PN= $17,800
A sheet of origami paper is in the shape of a square with a side length of 7 inches, as shown. What is the area of the sheet of origami paper? A square has side lengths of 7 inches. Use the formula for the area of a square, A = s squared, where A represents the area and s represents the side length. 14 Inches squared 28 Inches squared 49 Inches squared 98 Inches squared
Answer:
Its 49 inches.
Step-by-step explanation:
We know that a squares has 4 equal sides, therefor: all sides equal 7 inches.
To find the area, multiply 7x7- which is 49.
Formula: A=s squared -> 49=7 squared
Hope this helps, brainliest is always appreciated! :)
Have a great day! cx
~Mitsuna
Erin needs 1/4 pound of peat moss for
each juniper she plants. How many pounds
of peat moss are required for 10 junipers?
Answer:
do 1/4 x 10=2 1/2
Step-by-step explanation:
4 to the power of 3 times 4 to the power of -1
Answer:
16 or (4^2)
Step-by-step explanation:
4^3 * 4^-1
When multiplying exponents with the same bass, the exponents themselves can be added.
3 + -1 = 2
4^2 = 16
16 is your answer!
Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers.
Answer:
y = 1/10x+60.
Step-by-step explanation:
Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The correct answers are: The y-intercept of the function is $60. The function can be represented by the equation y = 1/10x+60.
Hope it helps!!!Brainliest pls!!!Olivia was pocking up some of her old stuff into a box. A box can hold 8
pounds, but she only filled it up full How much weight was in the bon?
3/5
Answer:
Step-by-step explanation:
2 easy ways:
1. Divide 7 by 3 then multiply by 2
7/3= seven thirds or 2.333
Now multiply by two to get 14 thirds
or 4.666
2. Multiply 7 by 2/3, or 0.666
This way is a lot easier with a
calculator
The weight of the box is 14/3’s or 4.666
Which of the following is a simpler form of the expression startfraction sine (theta) secant (theta) over cosine (theta) tangent (theta) endfraction? sec theta cos theta csc theta tan theta
The simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex] is [tex]\\\rm sec\theta[/tex].
It is given that the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]
It is required to find the simpler form from the given options.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have the expression:
[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]
We know:
[tex]\rm cos\theta = \frac{1}{sec\theta} \\\\\rm tan\theta = \frac{sin\theta}{cos\theta}[/tex]
By using these trigonometry formulas, we get:
[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\\\\\rm= \frac{sin\theta }{(cos\theta) (cos\theta) \frac{sin\theta }{cos\theta} }\\\\\rm= \frac{1}{cos\theta} \\\\\rm = sec\theta[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex] is [tex]\\\rm sec\theta[/tex].
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Answer:
option A: sec Ø
Step-by-step explanation:
Find the volume of each figure. Round your answers to the nearest tenth if necessary.
SHOW ALL WORK
Hey there!
Volume= (l)(w)(h)
=> 6cm × 5cm × 7cm
=> 210cm[tex] {}^{5} [/tex]
Therefore, Volume = 210cm[tex] {}^{5} [/tex]
$1.00 is worth 0.73 Swedish franc. How much is 12145 Canadian dollars in
francs.
Answer:
$8,865.85
Step-by-step explanation:
12145 multiplied by 0.73 = 8865.85
plot the graph of y=cos x
Step-by-step explanation:
[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Answer:
Step-by-step explanation:
Cosine is a trigonometric function defined as the ratio of length of adjacent side and the hypothesis in a right-angle triangle.
It is a periodic function with a period of 2pi.
Graph of its plot is attached.
determine which of the following are arithmetic
1/4, 3/4, 5/4 , 7/4 , 9/4 ,
80, 70 , 60 ,50 ,40
100, 50, 25 , 12.5
1,2,4,8,16
2/3, 4/3, 8/3 16/3, 32/3
5,10,15,20,25
Step-by-step explanation:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.
What is the sum of the first 11 terms in the arithmetic sequence if the first term is -3 and the common difference d is 5.
a.
152
b.
352
c.
402
d.
242
Answer:
d. 242..................
Answer:
d
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 5, thus
[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]
= 5.5(- 6 + 50)
= 5.5 × 44
= 242 → d
Which lines are parallel? Check all that apply. Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89. 5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91. 5 degrees; by lines d and a are blank, blank, 89. 5 degrees, blank; by lines e and a are 88. 5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90. 5 degrees, blank. B is parallel to f b is parallel to d c is parallel to e c is parallel to d d is parallel to f e is parallel to f.
The two parallel lines will be b and d in the given question
What are parallel lines?From the figure, we can see that
Angles formed by lines b and a are 89. 5 degrees
Angles formed by lines c and a are 91.5 degrees
Angles formed by lines d and a are 89.5 degrees
Angles formed by lines e and a are 88.5 degrees
Angles formed by lines f and a are 90.5 degrees
Since the angle formed by line b with a and d with a are equal that is 89.5
so these two lines will never intersect each other
But other lines have varied angles then they can intersect at one point
Thus the two parallel lines will be b and d in the given question
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HEY CAN ANYONE PLS ANSWER DIS MATH QUESTIONN!!!!!!!
Answer:
81
Step-by-step explanation:
13/-13=-1+10=9
9*9=81
Answer:
81
Step-by-step explanation:
in a certain algebra two class of 27 students, 11 of them play basketball and 13 of them play baseball. There are five students who play neither sport what is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
b
Step-by-step explanation:
i took the test
How many cubic millimeters are in one cubic kilometer?
Answer:
I think 1000000000000000000
Step-by-step explanation:
Hope it's right
Answer:
it is 10000
Step-by-step explanation:
Marcus is ordering supplies online for his dog. He plans to order a collar for $6.76 and some bags of treats for $4.80 each. The total for his order must be more than $25 to qualify for free shipping.
Answer:
25 < 6.76 + 4.80t
Step-by-step explanation:
The order has to be over 25 dollars so 25 dollars is less than the order.
He spends 6.78 dollars for a collar, so that will be part of the order. We don't know what the total cost of all the treats is, but we know that it is 4.80 dollars per bag. So 4.80t represents the cost for t amount of treat bags.
Step-by-step explanation:
What is the sum of the values of LuAnn's three cards?
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
1. by going in circles on this ride we wouldn't fall off due to the seat belts that we fasten both forces are implied to this ride to make us go faster and not fall off
2. Ac=9 Fc=.9
Step-by-step explanation:
since Ac=v^2/r and r=1 and Fc=m(v^2/r) and m=.1 we can use this formula to get 9 and .9
3^2=9 9/1=9
.1(3^2/1)=.1*9=.9
please help me omggggg
Answer:
the third one, EF = RQ or FD=QS
Answer:
it is the third box
hope this helps
Which of the following is the equation of a line in slope intercept form for a line with slope =1/3 and y intercept at (0,-4)
A. Y= -1/3x - 4
B. X= 1/3y - 4
C. Y= 1/3x + 4
D. Y= 1/3x - 4
The linear function with slope of 1/3 and y-intercept at (0,-4) is given as follows:
D. y = x/3 - 4.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.The intercept has coordinates (0,b).The parameters for this problem are given as follows:
m = 1/3, b = -4.
Hence the function is given as follows:
D. y = x/3 - 4.
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