ANSWER
Remainder: -24
Code piece: D
EXPLANATION
To use synthetic division we have to write only the coefficients of the dividend on the right and the independent term of the divisor with the opposite sign on the left. The synthetic division is:
The quotient of this division is 3x² - 5x + 10 and the remainder is -24. Hence, the code pice is D.
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Solve the inequality.
140 < -20j
Answer:
J < -7
Explantion:
Rewrite so J is on the left side
-20j > 140
Divide each term by -20 and simplify
j < -7
A rectangular room is 1.2times as long as it is wide, and its perimeter is
30 meters. Find the dimension of the room.
The length is :
meters and the width is
___meters.
The length is 6.8 meters and the width is 8.2 meters.
How to determine the dimension of the room?Represent the length and the width with x and y
So, we have:
y = 1.2x
P = 2(x + y)
The perimeter is 30.
So, we have:
2(x + y) = 30
Divide by 2
x + y = 15
Substitute y = 1.2x
x + 1.2x = 15
This gives
2.2x = 15
Divide by 2.2
x = 6.8
Substitute x = 6.8 in y = 1.2x
y = 1.2 * 6.8
Evaluate
y = 8.2
Hence, the length is 6.8 meters and the width is 8.2 meters.
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Which of the following best describes AB in the regular pyramid below? A B A. Altitude B. Slant height C. Face D. Edge
Answer:
the correct answer is
option b
slant height
Step-by-step explanation:
slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base
distance from the center of the base to the point where the slant height segment
The line AB in the pyramid is the slant height of the pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.
Given is a pyramid with AB labelled at one of its face, we need to determine the name for AB,
So, here AB is the slant height.
Slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base distance from the center of the base to the point where the slant height segment.
Hence, the line AB in the pyramid is the slant height of the pyramid.
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The diameter of a peacan pie is 7 inches. What is the circumference?
Answer:
21.98/C
Step-by-step explanation:
The equation for circumference is pi(d).
so 3.14*7 is about 21.98
Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
ASAPPPPP PLEASE HELPPP!!!!!!!!!!
Between 50 and 100 books are stored on a shelf. Exactly 20 percent of them are textbooks. Exactly one-seventh of them are novels. Can the exact number of books on the shelf now be determined? Why or why not?
Answer:
no
Step-by-step explanation:
the percentage has nothing to do with how many of them there are, forgive me if im wrong
The exact number of books on the shelf cannot be determined based on the information given.
What is an expression?An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.
We know that between 50 and 100 books are stored on a shelf, so let's assume the number of books is some integer value between 50 and 100, inclusive. Let's call this value "n".
Exactly 20% of the books are textbooks, which means there are 0.2n textbooks on the shelf.
Exactly one-seventh of the books are novels, which means there are (1/7)n novels on the shelf.
We know that n, 0.2n, and (1/7)n are all integers because they represent whole numbers of books. We can write this as:
n = a
0.2n = b
(1/7)n = c
where a, b, and c are integers.
From the second equation, we know that 0.2n is a multiple of 1/10. From the third equation, we know that n is a multiple of 7. Therefore, we can rewrite these equations as:
n = 10b
n = 7c
Since n is equal to both 10b and 7c, we know that n must be a multiple of the least common multiple of 10 and 7, which is 70.
So, n must be a multiple of 70, and therefore must be one of the integers 50, 70, or 90. However, we cannot determine which of these three values is the correct one based on the information given, because all three satisfy the conditions in the problem:
If n=50, then 20% of the books (i.e., 10 books) are textbooks, and 1/7 of the books (i.e., 7.14 books, which we round down to 7) are novels.
If n=70, then 20% of the books (i.e., 14 books) are textbooks, and 1/7 of the books (i.e., 10 books) are novels.
If n=90, then 20% of the books (i.e., 18 books) are textbooks, and 1/7 of the books (i.e., 12.86 books, which we round down to 12) are novels.
Therefore, the exact number of books on the shelf cannot be determined based on the information given.
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Which is the better buy: 18 oz. of rice for $6.30, 12 oz. of rice for $4.56, or 7 oz. of rice for $2.59?
Answer:
18oz for 6.30 is the cheapest
Step-by-step explanation:
0.35$ per oz
0.38$ per oz
0.37$ per oz
:]
A total of 400 students voted in school's singing contest. The circle graph shows results. How many votes did Adrian get
the answer is D i think .
Which equation represents a line passing through the point (8, 33) with a slope of 3?
A. y = 3x – 15
C. y = 3x – 8
B. y = 3x + 33
D. y = 3x + 9
Answer:
Is ka answers D ha.........
Answer:
The answer is D.
Step-by-step explanation:
(8 ,33) = (\(x_{1} , y_{1} )\)
m = 3
To find the equation, use the formula:
y - \(y_{1}\) = m(x - \(x_{1}\))
Put the values in the equation
y - 33 = 3(x - 8)
y - 33 = 3x - 24
Now to get only the y, put the \(y_{1}\)
y - 33 = 3x - 24
33 33
------------------------
y = 3x + 9
The solid glass award that Jillian was given has a total height of 15 inches as shown.
A rectangular pyramid with a base of 6 inches by 4 inches and a height of 15 inches. A rectangular prism with a length of 6 inches, width of 4 inches, and height of 2 inches.
What is the total volume of glass used to make the award?
A) 120 inches cubed
B) 152 inches cubed
C) 168 inches cubed
D) 204 inches cubed
Answer:
the answer is a
Step-by-step explanation:
Can i please have brainliest. I really need it
Thanks
Answer:
120 ich or A
Step-by-step explanation:
QUESTION 1
Determine the work done by the force
F=31+] + k in moving an object through
displacement T = 7 -7 -K
It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.
Let θ be the angle between the force vector F and the displacement vector r. The work W done by F in the direction of r is
W = F • r cos(θ)
The cosine of the angle between the vectors can be obtained from the dot product identity,
a • b = ||a|| ||b|| cos(θ) ==> cos(θ) = (a • b) / (||a|| ||b||)
so that
W = (F • r)² / (||F|| ||r||)
For instance, if F = 3i + j + k and r = 7i - 7j - k (which is my closest guess to the given vectors' components), then the work done by F along r is
W = ((3i + j + k) • (7i - 7j - k))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))
==> W ≈ 5.12 J
(assuming F and r are measured in Newtons (N) and meters (m), respectively).
Jewel completed 12 out of 20 of her homework questions last night. What percent did she complete?
Answer:
60%
Step-by-step explanation:
12/20 = 3/5 = 0.6 = 60%
Hey there! To find out how much of her homework Jewel completed, all we need to do is a little math. First, let's divide the number of questions she did by the total number of questions. That's 12 divided by 20 which equals 0.6.
Now, we just need to turn that decimal into a percentage. To do that, we simply multiply 0.6 by 100, which gives us 60. And voila! Jewel completed 60% of her homework.
please help! Write the equation of line that has a y-intercept of -6 snd a slope of 3
Answer:
y=3x+6
Step-by-step explanation:
the equation of a line in
slope-intercept form
is.
xy=mx+b
What is the area of a square if it is 216 inches in cubes? Please help me
In order to calculate the area of a square, which make part of a cube. You use the following formula:
A = a²
where a is the length of the side of the square and A is the area.
Then, you have to calculate the value of a. To do that, you use the information abou the volume of the cube and you use the following formula:
V = a³ solve for a by applying cubic root both sides
³√V = a replace V = 216 in³
a = ³√V
a = ³√(216 in³)
a = 6 in
Then, the length of the side of the square is 6 inches.
Next, you replace the value of a in the formula for the calculation of the area:
A = a²
A = (6 in)²
A = 36 in²
Hence, the are of the square is 36 in²
Graph makes no sense to me
Answer:
(a) 0
(b) 0
(c) 1
The function is not continous at x = 9
Step-by-step explanation:
To the left and right of the point x = 9, the graph would seem to continue at f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous
Apologies if this is wrong its been a bit since I did calculus
Elmview School has an annual carnival. Each year, the school needs 2b+18 balloons for carnival decorations, where b is the number of booths. Elmview has 12 booths planned for the carnival this year. How many balloons does the school need to decorate for the carnival this year? Write your answer as a whole number or decimal.
Answer:
Step-by-step explanation:
Balloons = B
b = booths = b
Formula
B = 2b + 18
B = 2 *12 + 18
B = 24 + 18
B = 42
Balloons needed = 42
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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the sum of two numbers, one of which is two-third of the other, is 45. find the smaller number
Step-by-step explanation:
The smaller number is 18.
Step-by-step explanation:
Let larger number = x and smaller number = \dfrac{2}{3} x32x
To find, the smaller number = ?
According to question,
x+\dfrac{2}{3} x=45x+32x=45
⇒ \dfrac{3x+2x}{3} =4533x+2x=45
⇒ 5x=45\times 35x=45×3
⇒ 5x=1355x=135
⇒ x =\dfrac{135}{5} =27x=5135=27
∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18
Hence, the smaller number is 18.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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Use the substitution methed to solve the system of equations. Choose the correct ordered pair.
2y+5x=13
2y+3x=5
Solve both equations for 2y :
2y + 5x = 13 ==> 2y = 13 - 5x
2y + 3x = 5 ==> 2y = 5 - 3x
Solve for x :
13 - 5x = 5 - 3x
8 = 2x
x = 4
Solve for y :
2y = 13 - 5×4
2y = -7
y = -7/2
As an ordered pair, the solution is then the point (x, y) = (4, -7/2).
the sum of three consecutive even numbers is 42. what are the three numbers?
Answer:
12, 14, and 16
Step-by-step explanation:
Assume
1st number: x
2nd number: x+2
3rd number: x+4
(I'm adding 2 for each number because even numbers skip by 2)
The numbers add to 42, so
x+(x+2)+(x+4)=42
x+x+2+x+4=42
3x+6=42
3x=36
x=12
1st number: 12
2nd number: 12+2=14
3rd number: 12+4=16
12, 14, and 16
26
11°
X
130
(Round the answer to the nearest hundredth.)
The length of side x is
15319
Gaveart
067295
The length of side x is approximately 24.87, rounded to the nearest hundredth.
how can we find side of the triangle?
To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:
sin(11°) = opposite side/hypotenuse
Rearranging this equation, we get:
opposite side = sin(11°) * hypotenuse
We know that the hypotenuse has a length of 130, so we can substitute that in:
opposite = sin(11°) * 130
Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:
opposite = 0.1919 * 130
Simplifying this expression, we get:
opposite ≈ 24.87
Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.
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Evaluate the function for the indicated values of x.
2x + 1, X3-5
f(x)= x?, -5
3 - X, x 5
Answer:
f(−10) = ⇒ -19
f(2) = ⇒ 4
f(−5) = ⇒ -9
f(−1) = ⇒ 1
f(8) = ⇒ -5
Step-by-step explanation:
The stock market has been really volatile the past two days. Yesterday, it rose by x% and today it fell by x%, resulting in an overall loss of 64%. What is x?
Answer:
80Step-by-step explanation:
Let stock be s, then we get the equation below for the stock value:
s(1 + 0.01x)(1 - 0.01x) = s(1 - 0.64)1 - (0.01x)² = 0.036(0.01x)² = 0.640.01x = 0.8x = 0.8/0.01x = 80Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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If you roll the die 300 times, what is the best prediction for the number of times that it will land on 5?
Step-by-step explanation:
There are 6 possible rolls ...all equal probability ...'5' is just one of the 6
so 1/6th of the time it should be a '5'
1/6th of 300 = 50 times a '5' should be rolled
W(4y-4)
Z
52°
Y
14
3y
X
Check the picture below.
\(52=(4y-4)+(3y)\implies 52=76-4\implies 56=7y \\\\\\ \cfrac{56}{7}=y\implies \boxed{8=y} \\\\\\ \stackrel{\measuredangle W}{4y-4}\implies 4(8)-4\implies \text{\LARGE 28}\)
Please help me solve this
a. The model represents exponential growth.
b. The annual percentage increase is 3%.
c. After 2390 decades the population was about 590000.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is \(y = y_₀.e^{(kt)}.\)
The formula for exponential decay is \(y = y_₀.e^{(-kt)}.\)
Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by \(y = 492(1.03)^t\).
The model represents exponential growth as time can not be negative.
The annual percentage increase in the model \(y = 492(1.03)^t\) is 3%
as 1.03×100% = 103%.
The time when the population was about 590000 since the beginning of a decade is,
\(590000 = 492(1.03)^t\).
\((1.03)^t = 590000/492\).
\((1.03)^t = 1199.1869\).
\(log_{1.03}1.03^t = log_{1.03}1199.1869\).
t = 2389.84 Or 2390 decades.
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A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.