Cam divided x^4
+ 3x² - 4x – 2 by the factor x-2 using synthetic division. His work is shown. Identify his
mistake.
2 1 3 -4 -2
2 10 12
——————
1 5 6 10
x^3+5x^+6x+10
——
x-2
Answer: cam did not use a zero place holder for the x^3 term
Step-by-step explanation:
A. Convert to the indicated unit of measure
1. 708 mm = ______m
2. 15.6 km = ______ dam
3. 108 cc = ______mL
4. 8 tbsp = ______ mL
5. 16.5 L = _____ gal
6. 3,569 sec = _____days
7. 4 score = ______ mo.
8. 299 K = _______0C
9. 2000F = ______0C
10. 10,866 mg = ______kg
ASAP :)
9514 1404 393
Answer:
0.708 m1560 dam108 mL118.3 mL (rounded)4.36 gal (rounded)0.04131 days (rounded)960 mo25.85 °C93 1/3 °C0.010866 kgStep-by-step explanation:
The conversions between SI prefix values can be found in any table of those prefixes. Other conversions needed are ...
1 tbsp = 14.7876478125 mL . . . . commonly rounded to 15 mL
1 gal = 3.785411784 L
1 day = 86,400 s
__
F = 9/5C +32 . . . . . formulas for conversion between temperature scales
K = C +273.15
_____
Applying the necessary conversions, we have ...
1. 708 mm = 0.708 m . . . 1000 mm = 1 m
2. 15.6 km = 1560 dam . . . 100 dam = 1 km
3. 108 cc = 108 mL . . . 1 cc = 1 mL
4. 8 tbsp ≈ 118.3 mL . . . using the above conversion
5. 16.5 L ≈ 4.36 gal . . . using the above conversion
6. 3,569 s ≈ 0.04131 days . . . using the above conversion
7. 4 score = 960 mo . . . 1 score = 240 months
8. 299 K = 25.85 °C
9. 200 °F = 93 1/3 °C
10. 10,866 mg = 0.010866 kg . . . 1,000,000 mg = 1 kg
_____
Additional Comment
For conversions other than temperature, the conversion factor used is one that is equivalent to 1. That is, the numerator has the same value as the denominator—only the units are different. The conversion in general looks like ...
[tex]nn\text{ units you have}\times\dfrac{A\text{ units you want}}{B\text{ units you have}}=\dfrac{nn\cdot A}{B}\text{ units you want}[/tex]
where the conversion factor is ...
A units you want = B units you have
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 week ?
12x42=504
504 cents earned every day when 42 papers are delivered
For a week= 504x7
3528cents
Answer:
3,528 cents = 35 dollars and 28 cents
Step-by-step explanation:
She earns 12 cents for each paper delivered.
=> She earns: 12 x 42 = 504 cents a day
=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.
That is probably the answer you're expecting.
But you shouldn't.
One customer might need more than 1 paper a day, so there's no clear answer to your question.
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
I need the answer ASAP
Answer: Its a rational number
Step-by-step explanation: All repeating decimals are rational :)
PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)
Answer:
c
Step-by-step explanation:
Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2
Answer:
the answer is b i hope it helps
A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?
Answer:
9
Step-by-step explanation:
i took the test
The sum of three consecutive integers is 12 less than 4 times the middle integer
Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
To know more about integers:
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Please solve the question below 2.0
Answer:
The answer is B
Step-by-step explanation:
Just look at the picture
Lol I need help agin
Step-by-step explanation:
7
b²=√218²-13²
=218-169
=49
=√49
=7
What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
a
12
b
13
c
16
d
18
Answer:
106
Step-by-step explanation:
10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106
The area of Neil's sqaure bedroom is 256 feet2. what is the length of any sidewall in his bedroom
Answer: 64 ft for each wall in his bedroom..
Step-by-step explanation: 256 divide 4 = 64.
Mark has less than 20.00 to spend on the cost of dinner
Question
If f(x) = x^2 + 7x and g(x) = 3x - 1, what is f(g(x))?
O 9x2 + x + 1
9x2 + 15x - 6
9x2 + 21x-6
9x2 - 27x
Help please
Answer:
9x^2 + 15x -6
Step-by-step explanation:
Your problem → If f(x) = x^2 + 7x and g(x) = 3x - 1, find f(g(x))?
f(x)=x2+7x,g(x)=3x-1,fog(x)=?
g(x)=3x-1,f(x)=x2+7x
fog(x)=f(g(x))
=f(3x-1)
=(3x-1)2+7⋅(3x-1)
=(3x-1)2+21x-7
=(9x2-6x+1)+21x-7
=9x2+15x-6
fog(x)=9x2+15x-6
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
52/4 = 13
13 X 13 = 169 cm squared
N > 0 in number line
Answer:
The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.
Please check the attached graph.
Step-by-step explanation:
Given the inequality expression
N > 0
It is clear that the value of N is greater than 0, it means the solution contains all the positive real numbers greater than zero.
In other words:
[tex]N>0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:N>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
The number line containing the solution N > 0 is shown and attached below.
From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 0 number.
The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.Please check the attached graph.
Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
A store owner orders 25 calculators that cost $41 each. The store owner can sell each calculator for $50. The store owner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $5 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
$183
Step-by-step explanation:
He buys 25 calculators for $41 each meaning he spends $1025 in total. He was able to sell 22 calculators for $50 which amounts to $1,100. He then returns and is refunded for the original price of the 3 calculators meaning he gets $123 dollars back but he also has to pay $5 for each calculator he returned which takes away $15 from his profit. $123-$15= $108. ($1,100+$108)-$1025=$183.
I NEED HELP!! But it's not an emergency. 50 Points!!
Answer:
D. x = 7 and m∠LMN = 120°Step-by-step explanation:
Since MO bisect angle LMN, the angles formed are congruent:
∠LMO≅∠NMOSubstitute values and solve for x:
13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7Find the value of ∠LMN:
m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°Correct option is D
Here,
MO is bisect of the [tex]\angle{LMN}[/tex],
SO,
[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]
According to the question,
[tex]\bold{ 13x-31=x+53 }[/tex]
[tex]\bold{ 13x-x=53+31 }[/tex]
[tex]\bold{12x=84 }[/tex]
[tex]\bold{x=\dfrac{84}{12} }[/tex]
[tex]\bold{x=7 }[/tex]
Now we find the value of [tex]\angle{LMN }[/tex]
so,
[tex]\angle{LMO}=2×\angle{NMO }[/tex]
[tex]\bold{ 2×(13×7-37) }[/tex]
[tex]\bold{2×(91-31) }[/tex]
[tex]\bold{2×60 }[/tex]
[tex]\bold{120° }[/tex]
A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?
Answer:
Reasonable prediction = 240 students
Step-by-step explanation:
Given that:
6 out of every 8 students own a pet.
Ratio = 6 : 8
Number of students surveyed = 320
Predicted number of students who own pets = x
Ratio = x : 320
As the relationship is proportional;
6 : 8 :: x : 320
Product of mean = Product of extreme
8x = 320 * 6
8x = 1920
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]
Hence,
Reasonable prediction = 240 students
8) What is the common ratio for this sequence?
12, 30, 75, 187.5
OA) 18
OB) 5
OC) 0.4
OD) 2.5
Step-by-step explanation:
it will 2.5 this is right answer option D
The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
12, 30, 75, 187.5
The above sequence is a geometric sequence.
The common ratio can be calculated:
r = 30/12 = 75/30
r = 2.5
Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.
Learn more about the sequence here:
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a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
Learn more about area here
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Please quickly answers thus
Answer:
i believe it's c. im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
△ KLM ∼ △ KCB . What is the value of x?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
Write the fraction 12/28 in simplest form
Answer:
3/4
Step-by-step explanation:
divide each by 2
28/2 = 14
12/2 = 6
14/2 = 7
6/2 = 3
therefore 3/7
Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.
01b3bed22d9bb79e5ed9ba#screenldx=3
2. Mario invested $500 dollars at 4% interest,
compounded bi-monthly. How much will Mario have in
his account 25 years from now?
Answer:
125
Step-by-step explanation:
500 divided by 4 = 125
can I pls have brainlest
Can anyone solve this?
Answer:
x = 35°
∠Q = 127°
∠R = 35°
∠P = 18°
Step-by-step explanation:
x + 2x + 57 + x - 17 = 180 {Angle sum property of triangle}
x + 2x + x +57 -17 = 180 {Combine like terms}
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 140/4
x = 35
∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°
∠R = x = 35°
∠P = x - 17 = 35 - 17 = 18°