Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step 1: Set up the synthetic division. ...
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
Step-by-step explanation:
hope this helps you :)
Answer:
x^2-x+1
Step-by-step explanation:
Hope that helps!!!
1.Estimate the size of a crowd at a parade along a 1-mile section that is 8 feet deep on both sides. Assume 1 person for each 4.5 square feet.
a.
46,900
b.
84,400
c.
18,700
d.
37,500
2.Estimate the size of a crowd at a parade along a 2-mile section that is 10 feet deep on both sides. Assume 1 person for each 4.5 square feet.
a.
46,900
b.
84,400
c.
18,700
d.
23,400
3.Estimate the size of a crowd at a parade along a 2-mile section that is 10 feet deep on both sides. Assume 1 person for each 2.5 square feet.
a.
84,500
b.
84,000
c.
126,700
d.
42,000
4.Estimate the size of a crowd at a concert where the area is 100 yards by 50 feet. Assume 1 person for each 2.5 square feet.
a.
12,000
b.
6,000
c.
2,000
d.
2,500
Answer:
1)
c.
18,700
2)
a.
46,900
3)
a.
84,500
4)
a.
12,000
Step-by-step explanation:
1) 1 mile = 5280 ft.
Area of both sides = 5280 ft × 8 ft × 2 sides = 84480 ft²
Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{4.5}[/tex]
the size of a crowd = [tex]\frac{1}{4.5} *84480=18773.33[/tex] ≈ 18700
2) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)
Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²
Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{4.5}[/tex]
the size of a crowd = [tex]\frac{1}{4.5} *211200=46933.33[/tex] ≈ 46900
3) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)
Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²
Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{2.5}[/tex]
the size of a crowd = [tex]\frac{1}{2.5} *211200=84400[/tex] ≈ 84500
4) 1 yard = 3 ft, therefore 100 yard = 300 ft (100 × 3)
Area of both sides = 300 ft × 50 ft × 2 sides = 30000 ft²
Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{2.5}[/tex]
the size of a crowd = [tex]\frac{1}{2.5} *30000=12000[/tex]
maths is hard, brainliest will be given
Answer:
12000 x 0.015 = 180
12000 + 180 = 12180
12180 x 0.015 = 182.7
12180 + 182.7 = 12362.7
$12,362.7
Hope this helps
Step-by-step explanation:
In step 4 of the construction of a perpendicular line through a point, why must the compass point be placed on the points where the
arc intersects with the original line? How would the construction be different if the compass point were placed at random points on
the original line?
Answer:
it would miss the point
Step-by-step explanation:
If the compass point were placed randomly on the line and arcs drawn, you might get a perpendicular by connecting the points where the arcs intersect, but it is not guaranteed to go through the desired point.
What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units?
The perimeter of Suzanne's rectangular garden is 40 yards. The length of the garden is 12 yards. What is the area of Suzanne's garden? square yards
Answer:
96 sq yards
Step-by-step explanation:
40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area
Stephen hit a baseball 10 out of 30 times. What is the experimental probability that he will hit the ball the next Try?
Answer:
1/3
Step-by-step explanation:
Here in this question, we are to estimate the experimental probability.
Now, to estimate the experimental probability, we shall be looking at previous attempts.
Thus, the probability that he would hit his next target would be; number of previous hits/number of total trials
From the question, number of previous hits were 10 and the number of total trials = 30
The probability he is hitting the next ball is thus 10/30 = 1/3
what is 2 cubed?????????
Answer:
8
Step-by-step explanation:
2×2×2=8
Answer:
8
Step-by-step explanation:
Two trains leave towns 492 miles apart at the same time and travel toward each other. One train travels 16 miles per hour slower than the other. If they meet in 3 hours, what is the rate of each train?
Answer:
The rate of each train is 74 miles per hour and 90 miles per hour respectively.
Step-by-step explanation:
Given;
distance between the two trains, d = 492 miles
total time traveled by each train before meeting the other, t = 3 hours
Let the speed for the first train = p
Let the speed for the second train = q
Assuming the first train is 16 mph slower than the second train, then;
q = p + 16
Distance = speed x time
492 miles = (p + q) x 3
492 = 3p + 3q
but, q = p + 16
492 = 3p + 3(p + 16)
492 = 3p + 3p + 48
492 - 48 = 6p
444 = 6p
p = 444 / 6
p = 74 miles per hour
q = 74 + 16
q = 90 miles per hour
Therefore, the rate of each train is 74 miles per hour and 90 miles per hour respectively.
Can anyone help me !!!
Answer:
Yes the equation is a linear one because it is an equation for a straight line.
Step-by-step explanation:
Answer:
Yes. Read below for explanation.
Step-by-step explanation:
y=3x+1 is in-fact linear. It is not a function though as it's y-intercept is 1 not 0. If you graphed this on a graphing calculator such as Desmos, it would create a line. It also uses slope-point formula which definitely makes it a line.
Simplify (4+2n3)+(5n3+2). Write the answer in standard form.
Answer:
The answer is 7n3 + 6.
Step-by-step explanation:
To simplify, remove the parentheses and combine like terms.
The standard form of the given expression is 7n³+6.
The given expression is (4+2n³)+(5n³+2).
To add any two expressions group the like terms.
Here, 4+2n³+5n³+2
= (2n³+5n³)+4+2
= 7n³+6
Therefore, the standard form of the given expression is 7n³+6.
To learn more about an expression visit:
https://brainly.com/question/28170201.
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the figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to BF.
Answer:
EF, FG, AB and BC are perpendicular to BF.
Step-by-step explanation:
In the figure attached, a rectangular prism has been given.
Line BF is contained in the face BCGF of the prism.
Therefore, all the faces perpendicular to the face given are,
ABFE, EFGH, ABCD and CGHD.
But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.
Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.
Line segments perpendicular to BF are:
GF, EF, AB, and CB
What is perpendicular?Perpendicular lines are the two distinct lines that intersect at each other at 90°. A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square.
Given,
In figure ABCDEFGH is a rectangular prism
BF is an edge of the prism
All faces of the rectangular prism are perpendicular to each other
Face EFGH is perpendicular to face BCGF
⇒ GF⊥BF and EF⊥BF
Face ABCD is perpendicular to face BCGF
⇒ AB⊥BF and CB⊥BF
Hence, line segments GF, EF, AB, and CB are perpendicular to BF.
Learn more about perpendicular here:
https://brainly.com/question/11707949
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please answer this question with reason please
Answer:
55°
Step-by-step explanation:
In circle with center O, OA and OB are radii and PA and PB are tangents drawn from external point P.
Since, tangent is perpendicular to the radius of the circle.
[tex] \therefore m\angle PAO = m\angle PBO = 90°\\
m\angle APB = 70°....(GIVEN) \\[/tex]
In quadrilateral PAOB,
[tex] m\angle PAO + m\angle PBO+ m\angle APB \\+m\angle AOB = 360°\\
\therefore 90° + 90° + 70° +m\angle AOB = 360°\\
\therefore 250° +m\angle AOB = 360°\\
\therefore m\angle AOB = 360°- 250°\\
\huge \purple {\boxed {\therefore m\angle AOB = 110°}} \\[/tex]
Since, angle subtended at the circumference of the circle is half of the angle subtended at the centre of the circle.
[tex] \therefore m\angle ACB = \frac {1}{2} \times m\angle AOB\\\\
\therefore m\angle ACB = \frac {1}{2} \times 110°\\\\
\huge \orange {\boxed {\therefore m\angle ACB = 55°}} [/tex]
a line with the slope of -1 passes through the point 0, 3 what is the equation in slope intercept form
Answer:
y = -x + 3
Step-by-step explanation:
Slope intercept form is the form y = mx+b where m is the slope and b is the y intercept
Plugging in the values we get y=-x+3
Answer:
y = - x + 3
Step-by-step explanation:
y = mx + b
Slope m = -1.
y = - x + b
Point (0,3).
3 = 0 + b
b = 3
y = - x + 3
37
A
B
12
35
С
Find cos(a) in the triangle.
What is the cube root of 216?
-6
6
72
-72
Answer:
The cube root for 216 is 6
Step-by-step explanation:
Answer:
the cube root of 216 is 6
Step-by-step explanation:
There are 10 marbles in a bag 7 of them are blue and the rest are green If I randomly picked a marble from the bag what is the probability of getting a blue marble
Answer:
7/10
Step-by-step explanation:
10 marbles in a bag 7 of them are blue and the (10-7)=3 green
P( blue) = blue / total
= 7/10
Please help me....
The diameter of a planet is about 26,590 mi. The diameter of the planet's moon is about 28% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answer:
2.195%
Step-by-step explanation:
Assuming that both planets are a sphere, we have to:
26590 * 28% = 7445.2
7445.2 miles would be the diameter of the moon, now to calculate the volume, we know that the radius is half the diameter, so:
r2 = d2 / 2 = 7445.2 / 2 = 3722.6
and the radius of the planet would be:
r1 = d1 / 2 = 26590/2 = 13295
now the volume of the planet we know is equal to:
v1 = 4/3 * pi * r1 ^ 3
and the volume of the moon would be:
v2 = 4/3 * pi * r2 ^ 3
We want to calculate the percentage by volume, therefore:
v2 / v1 = 4/3 * pi * r2 ^ 3 / 4/3 * pi * r1 ^ 3
v2 / v1 = 3722.6 ^ 3/13295 ^ 3
v2 / v1 = 0.021952
that is, the volume of the moon represents 2.195%
Peter accumulated $7,500 in credit card debt. If the interest rate is 3.5% per year and he does not make any payments for 10 years, how much will he owe on this debt in 10 years by compounding continuously
Answer:
$10579.49
Step-by-step explanation:
The formula for amount gotten after a period of time (in years) on a principal which is compounded continuously is given as:
[tex]A = P(1 + r)^t[/tex]
where P = principal (amount borrowed)
r = interest rate
t = number of years
Peter accumulated $7,500 in credit card debt with interest rate as 3.5% per year and he does not make any payments for 10 years.
Therefore, his debt is:
[tex]A = 7500(1 + \frac{3.5}{100})^{10}\\ \\A = 7500 (1 + 0.035)^{10}\\\\A = 7500(1.035)^{10}\\[/tex]
A = $10579.49
He will owe $10579.49 after 10 years
Answer:
A= $10,643.01
Step-by-step explanation:
if you are rounded to the nearest cent
Identify the values of each variable in the formula. Remember to express the percent as a decimal.
A=?
P= $7,500
r= 0.035
t= 10 years
For compounding continuously, use the formula A=Pert.
Substitute the values in the formula and compute the amount to find
A= 7,500e [tex]x^0.035.10[/tex][tex]x^{0.035.10}[/tex]
A= $10,643.01
The sum of one-half a number and 7 is twice the number minus 5.What is that number?
Answer:
N/2 + 7 = 2N - 5
N + 14 = 4N - 10
24 = 3N
N = 8
Answer:
1/2n + 7 = 2n - 5
2 · 1/2n + 7 · 2 = 2n · 2 - 5 · 2
n + 14 = 4n - 10
n - n + 14 = 4n - n - 10
14 = 3n - 10
14 + 10 = 3n - 10 + 10
24 = 3n
24 / 3 = 3n / 3
n = 8
Step-by-step explanation:
What is the Vertex of the graph? Is it minimum or maximum? A. (1,3) minimum B. (1,3) maximum C. (3,1) minimum D. (3,1) maximum
Answer:
(1,3) maximum
Step-by-step explanation:
As you can see from the graph the tip of the parabola is the vertex which is at the point (1,3) which is a maximum because it is the tallest point on the graph.
1/3 as a percent? Djdjenkeoqkehrwklwjrhr
Answer:
33% or with 10th place decimal 33.3%
Step-by-step explanation:
1/3 has a continuous decimal form of .333333...
So, it is usually rounded to .33
Hope this helps!
Answer: 33.33%
Step-by-step explanation:
12 more than the quotient of a number t and 7 is v.
Answer:
12+(t÷7)=V is the answer
Step-by-step explanation:
Answer
which of these triangles are definitely not congruent to any of the others? check all that apply
Answer:
Triangle C and Triangle D
Step-by-step explanation:
If you look closely at all of the different triangles, you can see that there are two pairs of congruent triangles.
Triangle A and Triangle E are congruent, both being right triangles and approximately the same size.
Triangle B and Triangle F are congruent, as both of them are isosceles triangles, and again, the same size.
The two that remain, Triangles C and D, are both scalene triangles, but they are not congruent to one another. Triangle C clearly has a smaller obtuse angle than Triangle D.
Hope this helps!
PQRS is a parallelogram. If mQRS = (9x - 20)° and
mSPQ = (4x + 90)°, what is the value of x?
22
8.5
14
10
Answer:
x = 8.5
Step-by-step explanation:
In this question, we are to calculate the value of x.
To calculate this, we shall be utilizing one of the important properties of parallelogram.
This property is that opposite angles of a parallelogram are equal.
This means that mQSR = mSPQ = 4x + 90
Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.
This means that they add up to be 180
Since mQSR faces mQRS
This means that;
4x + 90 + 9x -20 = 180
13x + 70 = 180
13x = 110
x = 110/13 which is approximately 8.5
What is the percent increase when 7,200 increases by 1,800? help asap
Answer:
1,800/7,200 as a percentage is 1/4 which is 25%.
Answer: 25%.
Step-by-step explanation:
because 1,800/7,200 as a simplyfly fraction
will be 1/4 and if you make it in persant it will be 25%
Hope this helps :)
what does dependent and independent variables mean
Answer:
independent is the y value or the value that changes at a steady rate no matter what, the dependent variable or x is the variable that is subject to change and is dependent on the y value to find a pattern
Step-by-step explanation:
Answer:
Variables are given a special name that only applies to experimental investigations. One is called the dependent variable and the other the independent variable. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable.
Step-by-step explanation:
use the given measurements to solve triangle ABC. Round your answers to the nearest tenth. Show work.
Answer:
b. b = 15.0, A = 113.2°, C = 300°
Step-by-step explanation:
The given sides are either side of the given angle, so the Law of Cosines can be used to find the unknown side.
b² = a² +c² -2ac·cos(B)
b² = 23² +12.5² -2(23)(12.5)cos(36.8°) = 224.829
b = √224.829 = 14.99 ≈ 15.0 . . . . . matches choice B
__
For the purpose of selecting the correct multiple-choice answer, this is sufficient working.
__
If you want to find the remaining angles, you can use the law of sines to find one of them. The smallest angle* will be ...
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) = arcsin(12.5/14.9942·sin(36.8°)) ≈ 30.0°
Then angle A can be found from the sum of angles in a triangle:
A = 180° -36.8° -30° = 113.2° . . . . . also matches choice B
_____
* We choose to find the smallest angle because the largest one may be more than 90°. The Law of Sines is ambiguous in that case. Finding the smaller angle first resolves the ambiguity immediately.
Help^0^
This recipe makes 6 portions of potato soup.
Richard follows the recipe but wants to make 18 portions.
Complete the amounts of each ingredient that he needs.
Answer:
180 ml oil
240 g onions
1.35 kg potatoes
1.8 l milk
Step-by-step explanation:
The recipe makes 6 portions and you need 18 portions. Since 6 is 3 times smaller than what you need, just times everything you've been given by 3.
*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.
1) 60 x 3 = 180 ml
2) 80 x 3 = 240 g
3) 450 x 3 = 1350 g
They want it in kilograms, so divide it by 1,000 to convert. this gives you 1.35 kg.
4) 600 x 3 = 1800 ml
They want it in l, so divide it by 1,000 to convert. this gives you 1.8 l.
Hope this helped : )
Rob is saving to buy a new MP3 player. For every $12 he earns babysitting, he saves $7. On Saturday, Rob earned $72 babysitting. How much money did he save?
Can anyone help me with this question please
Answer:
7. ∠CBD = 100°
8. ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°
Step-by-step explanation:
7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.
Then the congruent base angles of isosceles triangle ABC will be ...
∠B = ∠C = (180° -20°)/2 = 80°
The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...
∠CBD = 180° -80°
∠CBD = 100°
__
8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:
∠CBD = ∠BCE = 100°
∠CED = ∠BDE = 80°
