The remainder represented by synthetic division is -5.
What is synthetic division?
Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1.
Given
A vertical line and a horizontal line combine to make an L shape.
There are two rows of entries within the shape.
Row 1 has entries 2, 10, 1, 5.
Row 2 has entries blank, -10, 0, -5.
Entry -5 is on the outside to the left of the shape. The entry represents the zero of the divisor. This entry to the variable (assume the variable is x) is;
x + 5 = 0
x = -5
Hence, the divisor of the synthetic division is -5.
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Answer:
its a) -5
Step-by-step explanation:
algebra 2 pls help ill give brainliest
Answer:
Step-by-step explanation:
A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket
Answer:
$200
Step-by-step explanation:
Consider the original price be x
As per the question
⇒x×70%=140Solving the equation yields:
⇒0.7x=140⇒0.7x/0.7=140/0.7⇒x=1400/7⇒x=200In conclusion
the original price of the jacket was $200
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
please mark me as brainlest
Answer: y-2=1/3(x-3), which is Choice [B]
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem! (:
First, do you remember what the "point-slope" formula is? It's
y-y1=m(x-x1)
Now it's just a matter of sticking in the known values.
y-2=1/3(x-3)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\bigstar\underbrace[/tex]
Which rule describes the composition of transformations that maps δjkl to δj"k"l"? 90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
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Answer:
Its actually DStep-by-step explanation:
Which expression is equivalent to \frac{r^9}{r^3}
Answer:
[tex]\sf r^6[/tex]
Step-by-step explanation:
Exponent law:[tex]\boxed{\bf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]
In exponent division, if bases are same, subtract the powers.
[tex]\sf \dfrac{r^9}{r^3}=r^{9-3}=r^{6}[/tex]
find the magnitude of each of the following vectors 4i-8j
Answer:
magnitude of a shown vector is
[tex]4 \sqrt{5} [/tex]
Question 1 of 5
Select the correct answer.
Which expression is equivalent to 6√z ÷ 3√8z, if z> 0?
36/2
O 3
33/z
3√22
Submit
The expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
Simplifying an expressionFrom the question, we are to determine which of the expressions is equivalent to the given expression
The given expression is
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
The expression can be simplified as
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
[tex]\frac{6\sqrt{z}}{\sqrt[3]{8z}}[/tex]
[tex]= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}[/tex]
[tex]= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}[/tex]
[tex]= 3\times z^{\frac{1}{2} -\frac{1}{3}}[/tex]
[tex]= 3\times z^{\frac{1}{6}}[/tex]
[tex]= 3\times\sqrt[6]{z}[/tex]
[tex]= 3\sqrt[6]{z}[/tex]
Hence, the expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
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Giving brainliest
Determine the current temperature in degrees Fahrenheit if the current temperature is 32 degrees Celsius in Lima, Peru. Round the final answer to the nearest whole number.
32
56
90
103
Answer:
The answer is 90.
Thank you
Answer:
89.6
Step-by-step explanation:
The formula to convert Celsius to Fahrenheit is given by °F = °C × (9/5) + 32
F = [ C × (9/5) + 32 ]
Given that, C = 32
F = 32 × (9/5) + 32
F = 32 [ 1 + (9/5) ]
F = 32 [ 1 + 1.8 ]
F = 32 × 2.8
F = 89.6
Identify the conclusion of the conditional statement:
If an animal is a fish, then it lives in the water.
Answer:
Conclusion : it lives in the water
Step-by-step explanation:
Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.
therefore, for the given statement,
the 'then' part is 'it lives in the water'
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What is the missing fifth term in the
pattern below?
1, 8, 27, 64, ?
Options:
101
125
128
202
250
Answer:
The answer would be 125, because 1*1 = 1 2*2*2= 8 and so forth
Step-by-step explanation:
I hope this helps
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Your equation:}[/tex]
[tex]\mathsf{1, 8, 27, 64, ?}[/tex]
[tex]\huge\textbf{LET'S CONVERT IT TO FOR EASIER}\\\\\huge\textbf{TO UNDERSTAND A WHOLE LOT}\\\\\huge\textbf{BETTER.}[/tex]
[tex]\mathsf{1^3, 2^3, 3^3, 4^3, ?}[/tex]
[tex]\huge\textbf{Notice the pattern?}\\\\\\\\\huge\textbf{So, that means your mystery number}\\\\\huge\textbf{has to be squared (also known as to the}\\\\\huge\textbf{power of 3}[/tex]
[tex]\huge\textbf{Breaking down the exponents}[/tex]
[tex]\mathsf{1^3}\\\mathsf{= 1\times1\times1}\\\mathsf{= 1\times1}\\\mathsf{= \bf 1}[/tex]
[tex]\mathsf{2^3}\\\mathsf{= 2\times2\times2}\\\mathsf{= 4\times2}\\\mathsf{= \bf 8}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{4^3}\\\mathsf{= 4\times4\times4}\\\mathsf{= 16\times4}\\\mathsf{= \bf 64}[/tex]
[tex]\huge\textbf{If you didn't notice that your}\\\\\huge\textbf{exponents went like 1,2,3,4.}\\\\\\\\\huge\textbf{so that your mystery number has to}\\\\\huge\textbf{be 5 squared}[/tex]
[tex]\mathsf{5^3}\\\\\huge\textbf{That is what I meant \& this should give}\\\\\huge\textbf{you your result to this question.}[/tex]
[tex]\mathsf{5^3}\\\mathsf{= 5\times5\times5}\\\mathsf{= 25\times5}\\\mathsf{=125}[/tex]
[tex]\huge\textbf{The result:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ B. \ 125}}\huge\checkmark[/tex]
[tex]\huge\textbf{The outro}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
[tex]\huge\textbf{Signature}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]Contamination is a problem in the manufacture of optical storage disks. The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 cm2. Find the probability more than 12 particles occur in the area of a disk under study.
The probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
The number of particles follows a Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .
In the question, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
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Ex. 11 An apple computer has a retail price of $1000. Jim's House of Electronics is having a "20%-off sale",
in which all items are discounted to 20% less than retail. Allan has a coupon for 30% off the sale price of
any apple computer. How much does Allan have to pay for a new computer?
A candle on Pauline’s dresser is 4 inches tall and burns at a rate of 0.6 inches per hour. How many hours will it take for the candle to burn down to a height of 1.3 inches?
Answer:
4 1/2 hours
Step-by-step explanation:
first i subtracted 1.3 from 4 and got 2.7
Next i just multiplied 0.6 by random numbers ubtil i got something close to 2.7
i ended up with 2.4 when I multiplied 0.6 by 4
it still is .3 short
since it takes an hour for the candle to burn, then if you cut it in half, that means 30 minutes
therfore, 4.5 hours
On the day of his 18th birthday, David decided to start saving money regularly.
a) Starting on that day, he could save £ 60 on the same date every month.
How much would he have saved by the day before his 60th birthday?
b) David explored another option.
Starting on his 18th birthday, he could save £ 100 on the same date every year.
If he saved in this way, how old would he be by the time he saved £ 2000?
a) The person will save $15,120 by the day before his 60th birthday. b) David would have had £2000 when he is 37 years old.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
a) Let x be a number of months.
Now, we will find a number of years between 60 and 18 years.
There will be 42 years from 18th birthday to 60th birthday.
Now, we will convert 42 years into months.
42 × 12 = 504
In order to find the total amount saved in 504 months, we will substitute in expression:
30x = 30(504) = 15120
Hence, the person will save $15,120 by the day before his 60th birthday.
b) David starts saving £100 annually from his 18th birthday
We would save £2000 after
(2000/100) years = 20 years
Since his 18th birthday is the first of the 20 years and so he will save £950 for the next 19 years, which is
18 + 19 = 37 years old
Hence, David would have had £2000 when he is 37 years old.
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Vincent and Aidan buy the same number of pens. Vincent buys packs of 6 pens, and Aidan buys boxes of 20 pens. What is the least number of pens each boy can have brought?
The least number of pens each boy can have brought is 60
How to determine the least number of pen?We have:
Vincent = 6 packs
Aidan = 20 boxes
Factorize 6 and 20
6 = 1 * 2 * 3
20 = 1 * 2 * 2 * 5
Multiply all factors
LCM = 1 * 2 * 2 * 3 * 5
Evaluate the product
LCM = 60
Hence, the least number of pens each boy can have brought is 60
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A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?
A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
Answer:
The first statement is true so Shannon is incorrect.
Step-by-step explanation:
Volume of the pyramid with base 20 and h = 6
= 1/3 * base area * height
= 1/3 * 20 * 6
= 40 unit^3.
OX and OY are two straight lines which intersect at an acute angle of 60°. OX = 4.5cm and OY = 5cm . The point M is on OX such that OM = 2MX Find a point P within the acute angle formed by OX and OY which is always the same distance from OX and OY and 3 cm from M.
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
What is an Angle Bisector ?The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2[tex]\sqrt{3}[/tex] = 3.46 cm from O
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Workers in an office of 40 staff were asked
their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
Frequency
9
6
11
10
4
Angle
a
b
с
d
e
What fraction of a person is one degree?
Give your answer in its simplest form.
Answer:
1/
Step-by-step explanation:
There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.
Find the gradient of the line shown.
Answer:it is o to 10/5 which is 1/
Step-by-step explanation:
Which expressions are in simplest form? Check all that apply. 0 x²³+y³ 1 - 3 9-9 ·to -12 a² + b ² Which expressions are in simplest form ? Check all that apply . 0 x²³ + y³ 1 - 3 9-9 · to -12 a² + b ²
The expression that's in the simplest term will be -12a² + b².
How to illustrate the expression?It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.
In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.
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In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.
7x-2=x²-10x²-7x-8=0(x-8)(x+1)=0x = -1, 8As distance must be positive, we reject the negative case, so x=8.
Thus, BE=ED=54.
F(x)=-x^2+3 find(-2)
Answer:
F(-2) = 7
Step-by-step explanation:
Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.
For this specific function [F(x) = x² + 3], substitute x for -2.
F(-2) = (2)² + 3
Next, solve the equation.
F(-2) = 4 + 3
F(-2) = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Required answer: f(2) = -1
Detailed explanation:
To find f(-2), we will substitute -2 for x in the function:
[tex]\bf{f(x)=-x^2+3}[/tex]
[tex]\bf{f(-2)=-(-2)^2+3}[/tex]
[tex]\bf{f(-2)=-4+3}[/tex]
[tex]\bf{f(-2)=-1}[/tex]
[tex]\hrulefill[/tex]
Have a wonderful day!
Bonnie and Connie ran a total of 135 miles last week. Bonnie runs at a constant speed of 7 miles per hour, and Connie runs at a constant speed of 5 miles per hour. If Bonnie and Connie ran for a total of 24 hours last week, how many minutes did Bonnie run
Answer: 450 Minutes
Step-by step explanation:
135-x)/5 = hours connie runs
x/7 = hours Bonnie runs
(135-x)/5 + x/7 = 24
135-x + 5x/7 = 120
945-7x+5x = 840
-2x = -105
x = 52.5 miles = distance of Bonnie
52.5 miles / 7 m/hr = 7.5 hours = 450 minutes
Select the table that lists all the factor pairs for 24
Answer:
1, 2, 3, 4, 6, 8, 12, and 24. Factors of 24 include negative numbers.
Step-by-step explanation:
Can you please help me
Answer:
1/3
Step-by-step explanation:
DE/AB = EF/BC = FD/CA
15/45 = 9/27 = 8/24 = 1/3
hope this will help u
Which values of a and b make the following equation true?
(5x7y²)(-4x²y5)--20xy
a=11, b = 7
a = 11, b = 10
a=28, b = 7
a=28, b= 10
Answer:
A. is correct answer
Step-by-step explanation:
full explanation
74 is the same as
radians.
Round to the nearest hundredth of a radian.
Answer:
1,29
Step-by-step explanation:
74*2pi/360
ezzzzzz
PLEASE HELP ASAP!!!! I HAVE THE ANSWERS BUT I NEED THE WORK FOR THESE THREE PLEASE ITS URGENT
Answer: The solution is x=7.
Step-by-step explanation: Using the segment addition posyulate we can find the measure of the segment. given it is 4, 5, 8.
Explanation:
Building proportional relationships
[tex]\sf \dfrac{XA}{XY} = \dfrac{XB}{XZ}[/tex]
21.
[tex]\sf \rightarrow \dfrac{5}{XY} = \dfrac{10}{18}[/tex]
[tex]\sf \rightarrow XY = \dfrac{5(18)}{10}[/tex]
[tex]\sf \rightarrow XY = 9[/tex]
Then find AY
[tex]\sf AY = XY - XA[/tex]
[tex]\sf AY = 9 - 5[/tex]
[tex]\sf AY = 4[/tex]
[tex]\hrulefill[/tex]
22.
[tex]\rightarrow \sf \dfrac{10}{25} = \dfrac{XB}{XB + 3}[/tex]
[tex]\rightarrow \sf 10(XB + 3) = 25XB[/tex]
[tex]\rightarrow \sf 10XB + 30 = 25XB[/tex]
[tex]\rightarrow \sf 25XB-10XB = 30[/tex]
[tex]\rightarrow \sf 15XB = 30[/tex]
[tex]\rightarrow \sf XB = 2[/tex]
Then find XZ
[tex]\sf XZ = XB + BZ[/tex]
[tex]\sf XZ = 2 + 3[/tex]
[tex]\sf XZ = 5[/tex]
[tex]\hrulefill[/tex]
23.
[tex]\sf \rightarrow \dfrac{4}{13} = \dfrac{XB}{26}[/tex]
[tex]\sf \rightarrow \dfrac{26(4)}{13} = XB[/tex]
[tex]\sf \rightarrow XB = 8[/tex]
Line I has a slope of -The line through which of the following pair of
13
points is perpendicular to l?
The points (2,6) (-4,-7) have a slope of 13/6 which satisfies the perpendicular condition option (B) is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is:
Line L has a slope of -6/13. The line through which of the following pair of points is perpendicular to L?
A) (6,-4) (-7,2)
B) (2,6) (-4,-7)
C) (6,9) (-4,-4)
D) (13,-4) (-7,2)
Line L slope m = -6/13
If two lines are perpendicular:
(m)(m') = -1
(-6/13)(m') = -1
m' = 13/6
From the points given finding the slope of every point:
A) (6,-4) (-7,2)
[tex]\rm m' =\dfrac{2+4}{-7-6}[/tex]
m' = -6/13
B) (2,6) (-4,-7)
[tex]\rm m' =\dfrac{-7-6}{-4-2}[/tex]
m' = 13/6
Thus, the points (2,6) (-4,-7) have a slope of 13/6 which satisfy the perpendicular condition option (B) is correct.
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State whether the following physical quantities are scalars or vectors: a. Pressure. b. Electric current. c. Conductivity. d. Electric conductance. e. Frequency. f. Heat capacity. g. Impedance. h. Power. i. Torque. j. Latent heat
This is further maths questions
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \large Scaler : [/tex]
Pressure Electric current Conductivity Electric Conductance Frequency Heat capacity PowerLatent heat[tex]\qquad \tt \large Vector : [/tex]
ImpedanceTorque____________________________________
[tex] \large \tt Explanation \: : [/tex]
[tex] \textsf{Scaler quantity : } [/tex]
Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.
Operations on Scaler quantities can be done by simple algebraic rules.
Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc
[tex] \textsf{Vector quantity } [/tex]
Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.
Vector algebra is used for operations on vector quantities.
Eg. Impedance, Torque, etc
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
