A classroom floor has an area of
(30x^3 + 8x^2, with a width of 2x feet.
What is the length of the floor?
Answer:
15x² + 4x feet
Step-by-step explanation:
We need to calculate (30x³ + 8x²) / 2x.
(30x³ + 8x²) / 2x
= 30x³ / 2x + 8x² / 2x
= 15x² + 4x
Find the missing length.
Answer:
D. 25
Step-by-step explanation:
The left end of the baseline has measure (x-16). In this geometry all of the right triangles are similar, so the short-to-long side ratios are proportional:
(x -16)/12 = 12/16
x -16 = 9 . . . . . . . multiply by 12
x = 25 . . . . . . . . . add 16
The unknown length x is 25.
Answer:
25
Step-by-step explanation:
What is remainder when f(x) is divided by (x-a)
By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]
In 2008, golfer Annika Sornestam had a driving accuracy of 71%. That is, on par 4 and par 5 holes, her tee shot landed in the fairway 71% of the time. Explain how to use a spinner to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives. (Hint: What type of chart is a spinner? What does each piece represent?)
Answer:
Ok, we know that the driving accuracy is of 71%.
Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)
Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.
Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.
In this way the shot has the region from 1 to 71 (71%) to land in the fairway
and the region from 72 to 100 to not land in the fairway.
If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.
Question
0
Which angle between 90 and 270 has the same sine value as 60°?
Which angle between –180° and 0 has the same cosine value as 290°?
degrees
Answer:
(i) 120°
Step-by-step explanation:
(i)
sine 90 = 1
sine 120 = 0.87 (rounded up to two decimal places)
sine 150 = 0.5
sine 180 = 0
sine 210 = -0.5
sine 240 = -0.87 (rounded up to two decimal places)
sine 270 = -1
sine 60 = 0.87 (rounded up to two decimal places)
So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°
Find the inverse. (SHOW WORK)
Let f(x) = y
y = log3(x+1) - 1
Plug x in y and y in x
x = log3(y+1) - 1
x + 1 = log3(y+1)
3^(x+1) - 1 = y
[tex]y = 3^{x+1}[/tex] - 1
This is the inverse function.
Hope it helps! xxxx
Answer:
y = [tex]3^{(x+1)}[/tex] -1
Step-by-step explanation:
x = [tex]log_{3}[/tex](y + 1) - 1
x + 1 = log₃(y + 1)
[tex]3^{(x+1)}[/tex] = y + 1
[tex]3^{(x+1)}[/tex] -1 = y
S(t) = -105t + 945 to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate completely? A. 11 years B. 8 years C. 7 years D. 9 years
Answer:
D
Step-by-step explanation:
When something depreciates completely, it will have a total value of 0 dollars. Therefore, set the equation to zero and solve for t to find the years.
[tex]S(t)=-105t+945\\0=-105t+945\\-105t=-945\\t=9[/tex]
Therefore, the table saw will completely depreciate after 9 years.
Answer:
[tex]\large \boxed{\sf \bold{D.} \ 9 \ years}[/tex]
Step-by-step explanation:
[tex]S(t) = -105t + 945[/tex]
For the value to depreciate completely, the amount has to be equal to 0 dollars.
Set S(t) to 0.
[tex]0 = -105t + 945[/tex]
Solve for the time t.
Subtract 945 from both sides.
[tex]0 -945= -105t + 945-945[/tex]
[tex]-945=-105t[/tex]
Divide both sides by -105.
[tex]\displaystyle \frac{-945}{-105}=\frac{-105t}{-105}[/tex]
[tex]9=t[/tex]
It will take 9 years for the saw to depreciate completely.
PLEASE HELP ME FAST...
I will mark you a BRAINLEST
Answer: Hi!
Row A: 7, 11, 15, 19, 23
Row B: 51, 42, 33, 24, 15
Row C: 4, 8, 16, 32, 64
Row D: 64, 32, 16, 8, 4
(If you notice, Row C and Row D are just swapped in order!)
Hope this helps!
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------------------
A's rule, add 4: 7, 11, 15, 19, 23
B's rule, Subtract 9: 51, 42, 33, 24, 15
C's rule, Multiply by 2: 4, 8, 16, 32, 64
D's rule, Divide by 2: 64, 32, 16, 8, 4
This event is independent, true or false?
You roll a fair six-sided die twice. The first roll show a three and the second roll shows a four.
True
False
Answer:
This event is independent this statement is true because we cannot control the motion of a dice.
Step-by-step explanation:
Hope it will help you :)
Answer:I'm pretty sure it's independent
Which is true about the polynomial y2 – 3y + 12? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.
Answer:
Trinomial of degree 2
Step-by-step explanation:
The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.
Also, the largest power for the variable init (y) is the power 2, therefore it is a trinomial of degree 2.
An orchardist is to plant apple trees and pear trees in the ratio 3:11. If he intends to plant 150 apple trees, how many pear trees will he need to plant?
The ratio 2:11 means for every 3 apple trees they will plant 11 pear trees.
They are planting 150 apple trees. Divide total apple trees by the ratio: 150/3 = 50
Multiply that by the ratio of pear trees:
50 x 11 = 550
They need to plant 550 pear trees.
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
Answer:
[tex]y = \frac{-3}{4}x + 36[/tex]
Step-by-step explanation:
Data provided in the question
Height = 36 inches
Stant of the stairs followed that declines 9 inches for every 12 horizontal inches
Height = x
x = from top of the stairs
based on the above information
Therefore the change in rate is
[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]
It depicts the line sloping.
Now the function would be determined by the line equation which is as follows
y = mx+c
[tex]m = \frac{-3}{4}[/tex]
where,
c = 36 inches
So, the function is
[tex]y = \frac{-3}{4}x + 36[/tex]
Answer:
Answer is A
Step-by-step explanation:
Anyone want to help...?
Answer:
-1
Step-by-step explanation:
3/2 * (-22/33)
Simplify by dividing the second fraction by 11
3/2 * (-2/3)
Rewriting
3/3 * (-2/2)
-1/1
Answer:
-1
Step-by-step explanation:
(a/b)(c/d) = (a*c)(
(3/2)(-22/33)
(3*-22)/(2*33) = -66/66 = -1
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3028 feet and Plane B is at an altitude of 4000 feet. Plane A is gaining altitude at 55.75 feet per second and Plane B is gaining altitude at 35.5 feet per second. How many seconds will pass before the planes are at the same altitude? seconds What will their altitude be when they're at the same altitude? feet
Consider plane A with respect to B,
initial relative Altitude [tex] h_{a, b}=h_a-h_b=-972 [/tex]
relative rate of altitude(speed) $r_{a,b}= 55.75-35.5=20.25$
To get at same altitude, they'll take same time, and their relative height will be $0$ So,
$H_{a,b}=h_{a,b}+r_{a,b}t$
$0=-972+20.25t$
$t=48$
and altitude will be, $3028+55.75\cdot 48=5704$
Answer:
48 seconds5704 feetStep-by-step explanation:
We can write equations for the altitude of each plane:
A(t) = 3028 +55.75t . . . . . initially at 3028 ft; gaining at 55.75 ft/s
B(t) = 4000 +35.5t . . . . . initially at 4000 ft; gaining at 35.5 ft/s
The two altitudes will be equal when ...
A(t) = B(t)
3028 +55.75t = 4000 +35.5t . . . . substitute the expressions for A and B
20.25t = 972 . . . . . . subtract 3028+35.5t
t = 48 . . . . . . . . . . . . divide by 20.25
The common altitude will be ...
B(48) = 4000 +35.5(48) = 5704 . . . . feet
The planes will both be at an altitude of 5704 feet after 48 seconds.
Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25 cups of sugar. Write an addition equation to represent the total amount of sugar Dante needs. Enter your answer as an addition equation, like this: 42+(-53)=-11
Answer:
2.75 cups of sugar
Step-by-step explanation:
Hello!
To find the total amount of sugar Dante needs we need to add the amount need for each recipe
Cookie recipe needs 1.5 cups
Brownie recipe needs 1.25 cups
1.5 + 1.25 = 2.75 cups of sugar
The answer is 2.75 cups of sugar
Hope this helps!
Answer:
the answer is 1.5+1.25=1.75
Step-by-step explanation:
i just added them together
your welcome ( it also depends on how many times he uses the recipes)
Factor completely x3 + 8x2 − 3x − 24. (x − 8)(x2 − 3) (x + 8)(x2 + 3) (x − 8)(x2 + 3) (x + 8)(x2 − 3)
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
Given:
x³ + 8x² - 3x - 24
Find:
Factors
Computation:
x³ + 8x² - 3x - 24
x²(x + 8) -3(x + 8)
(x + 8) (x² - 3)
Factor of the given equation is (x + 8) (x² - 3)
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
The figure below shows a parallelogram ABCD Side AB parallel to side DC and side AD is parallel to side BC A student wrote the following sentences to prove that parallelogram ABCD has two pairs of opposite sides equal For triangles and COB alternate interior angle ABD is congruent to angle CDB because AB and DC are parallel lines Similarly interior angle equal to angle CBD because AD and are parallel lines equal to DB by the reflexive property Therefore , triangles ABD and COB are congruent by the SAS postulate Therefore AB congruent to and AD congruent BC CPCTC Which statement best describes a flaw in the student's proof ?
Answer:
Second choice
Explanation :
The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.
Hope I helped! :)
If yes mark me BRAINLIEST!
Tysm!
Triangles ABD and CDB are congruent to each other by the ASA theorem. The student used SAS which is wrong. The answer is: D.
What is the ASA Theorem?The ASA theorem states that two triangles that have a pair of corresponding included congruent sides and two pairs of corresponding congruent angles are congruent triangles.
Based on the ASA theorem, triangles ABD and CDB are congruent to each other.
Therefore, the use of SAS theorem by the student is wrong.
Learn more about the ASA theorem on:
https://brainly.com/question/2102943
#SPJ6
Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus
Answer:here for the comments
Step-by-step explanation:
Answer:
The answer is 40.3 times greater
Step-by-step explanation:
Point B lies between points A and C, and all three points lie on point AC, which of the following is not true? A. Point B lies on segment AC B. Point C lies on ray AB C. Point A lies on ray BC D. Point C lies on line AB
Answer:
C. Point A lies on ray BC
Step-by-step explanation:
Points A and C can be connected by a segment which would be a measure of the distance between the points. Locating point B between AC, makes the three points lying on segment AC.
A ray extends from a point to infinity, a line extend to infinity on both sides, while a segment is known to have two endpoints. Therefore, points AC are the end points of the segment AC, and point B between this segment confirms that point B lies on the segment AC. Therefore, Point A lies on ray BC is not correct.
Tony owns a shop that sells mobile phones and laptops. The retail price of a mobile phone is $240, and it will include a sales tax of 15% on the retail price. If the shop owner offers a discount of $46 off the final price including the sales tax, what is the percent decrease for the price of the mobile phone? A 20% B 15% C 19.17% D 16.67%
Answer:
Percent decrease in mobile = 19.17 % (Approx)
Step-by-step explanation:
Given:
Retail price of mobile phone = $240
Sales tax = 15% on retail value
Total discount including sales tax = $46
Find:
Percent decrease in mobile
Computation:
Cost of mobile = $240(85/100)
Cost of mobile = $204
Percent decrease in mobile = [$46 - 15%]204
Percent decrease in mobile = 19.17 % (Approx)
Solve: 3a^2-4b a= -6 b= -5 If you could also leave an explanation that would be great! Thank you for your time!
Answer:
128
Step-by-step explanation:
3a² - 4b
plug in values
3(-6)² - 4(-5)
use PEMDAS and simplify (-6)² first
3(36) -4(-5)
multiply
108 + 20
add
128
hope this helps :)
Kim is y years old. Jasper is twice as old as Kim, or 2y years old. Lorenzo is 2 years older than Jasper, or (2y + 2) years old. Finally, Vinnie is 9 years old. The sum of their ages is y + 2y + (2y + 2) + 9. What is an equivalent way to write this expression?
Answer:
5y+11
Step-by-step explanation:
y+2y+2y+2+9
5y+11
is 5.676677666777 a rational number
Answer:Yes, because all integers have decimals. No, because integers do not have decimals. No, because integers cannot be negative. Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.
Step-by-step explanation:
Make up an expression of your own that satisfies the following:
Must have at least: 4 terms, 1 constant, 2 variables with coefficients and appropriate
operation signs.
There are infinitely many ways to answer this as there is no one single answer to pick from.
Here is one possible answer: x^3 + 5x^2 + 7x + 12The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.
The constant is 12. It does not have any variable attached to it.
Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.
The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.
what is nine and forty-two hundredths
Answer:
9.42
Step-by-step explanation:
Breaking the phrase down:
'Nine' would be the number 9 in the ones place.
'And' represents the decimal in a number. ('.')
'Forty-Two Hundredths" is 0.42.
So, "nine and forty-two hundredths" would be 9.42.
Hope this helps.
11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600
Answer:
Average = 2000
Step-by-step explanation:
Given numbers are:
1,000 2,300 2,600
To find:
First round off the numbers to nearest 1000 and then find Average.
Solution:
1000 is already in thousands so no need to round off.
To round off a number to nearest thousand, we need check the digit on hundred's place.
If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.So, 2300 will be rounded off as 2000.
and 2600 will be rounded off as 3000.
Now, the numbers whose average is to be calculated are 1000, 2000, 3000.
Formula for average is given as:
[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]
applying the formula:
[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]
So, the average after rounding off to nearest 1000 is 2000.
If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L . y = -x + 3 y = -3x + 3 y = 3x + 3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
What is the perimeter of this polygon?
A(2, 3)
B(-4, 0)
C(0,-4)
D(4,0)
Answer:2,3 hope it help you
Step-by-step explanation:
Answer:
21.627
Step-by-step explanation:
get the distance between all points then add
If the Cost price of the an article is greater than the selling price, we have a ____?
Answer:
loss
Step-by-step explanation:
Selling an item for less than was paid gives a loss
Selling an item for more than was paid gives a profit
Hey there please help me with this question
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts , thus
81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio
2 parts = 2 × 27 = 54 cm²
Area of A = 54 cm² and area of B = 27 cm²
The side of the original square = [tex]\sqrt{81}[/tex] = 9 cm
The width of both rectangles is 9 cm ( width remains unchanged after cut )
Thus
Rectangle A
9 × length = 54 ( divide both sides by 9 )
length = 6 cm
Rectangle B
9 × length = 27 ( divide both sides by 9 )
length = 3 cm
Rectangle A → length = 6 cm, width = 9 cm
Rectangle B → length = 3 cm , width = 9 cm
Answer:
Rectangle A Rectangle B
length = 9 cm length = 9 cm
width = 6 cm width = 3 cm
Step-by-step explanation:
Area of square At = 81 cm²
Square is cut into two pieces = A + B
The ration of area A to B = 2:1
Find
Rect A Rect B
length length
width width
---------------------------------
first, get the side of the square = A = s²
81 = s²,
s = √81
s = 9 cm
since the ratio is 2:1, therefore the side can be divided into 3
9 ÷ 3 = 3 cm ----- take note of this to get the Width
Rectangle A
L = 9 cm (which is the s = 9 cm)
W = 3 cm (2 ratio) = 6 cm
Rectangle B
L = 9 cm (which is the s = 9 cm)
W = 3 cm (1 ratio) = 3 cm
Proof:
At = A + B
81 = (9x6) + (9x3)
81 = 54 + 27
81 = 81 ----- OK
