Answer:
x =11
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 15+x-2) * (x-2) = (19+x-3) * (x-3)
Combine like terms
(13+x) *(x-2) = (16+x) *(x-3)
Distribute
11x+x^2-26=13x+x^2-48
Subtract x^2 from each side
11x -26 = 13x -48
Subtract 11x from each side
-26 = 2x-48
Add 48 to each side
22 = 2x
Divide by 2
11 =x
what is the first step to solving this problem: 3x-10=2(x+3)
Answer:
x = 16
Step-by-step explanation:
3x - 10 = 2(x+3)
First step is solve this:
2(x+3) = 2*x + 2*3 = 2x + 6
then:
3x - 10 = 2x + 6
3x - 2x = 6 + 10
x = 16
Check:
3*16 - 10 = 2(16+3)
48 - 10 = 2*19 = 38
Answer:
x = 16
Step-by-step explanation:
you start off by isolating the variable
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.
y = 6x − x2, y = 8; about x = 2
Answer:
[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]
Step-by-step explanation:
Given that:
y = 6x - x² , y = 8 about x = 2
To find the volume of the region bounded by the curves about x = 2; we have the radius of the cylindrical shell to be x - 1, the circumference to be 2 π (x -2 ) and the height to be 6x - x² - 8
6x - x² - 8
6x - x² - 8 = 0
-x² + 6x - 8 = 0
x² - 6x + 8 = 0
(x -4) (x - 2 ) = 0
So;
x = 2 , x = 4
Thus, the region bound of the integral are from a = 2 and b = 4
Therefore , the volume of the solid can be computed as :
[tex]V = \int \limits ^b _a \ 2x \times f(x) \ dx[/tex]
[tex]V = \int \limits ^4_2 2 \pi (x -2) (6x -x^2 -8) \ dx[/tex]
[tex]V = 2 \pi \int \limits ^4_2 (6x^2 - x^3 -8x -12 x - 2x^2 +16) \ dx[/tex]
[tex]V = 2 \pi \int \limits ^4_2 (8x^2 -x^3-20x +16) \ dx[/tex]
[tex]V = 2 \pi \int \limits ^4_2 ( -x^3+8x^2-20x +16) \ dx[/tex]
[tex]V = 2 \pi [\dfrac{ -x^7}{4}+\dfrac{8x^3}{3} -\dfrac{20x^2}{2} +16x]^4_2[/tex]
[tex]V = 2 \pi [\dfrac{ -(4^4-2^4)}{4}+\dfrac{8(4^3-2^3)}{3} -\dfrac{20(4^2-2^2)}{2} +16(4-2) ]^4_2[/tex]
[tex]V = 2 \pi [\dfrac{ -(256-16)}{4}+\dfrac{8(64-8)}{3} -10(16-4)} +16(2) ][/tex]
[tex]V = 2 \pi [\dfrac{ 4}{3}][/tex]
[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]
Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°
Answer:
x=127°
Step-by-step explanation:First you have to solve for n and to do so you have to add the interior angles together and equal them to the remote exterior angle.
n+7+6n+22=197-5n
12n+29=197
12n=168
n-14
once you get n you have to plug it into 197-5n
197-5(14)
197-70
127
The required value of exterior angle m∠x is 127.
From figure x is remote exterior angle m∠x=(197−5n)°. and y and z are interior angles m∠y=(6n+22)° and m∠z=(n+7)° respectively. value of x to be determine.
Angle made at outer side of the corner is called exterior angles.
Here, by properties, sum of the interior angle = remoter exterior angle
So,
m∠x = m∠y + m∠z
197−5n = 6n+22+n+7
168 = 12n
n = 14
put n in m∠x
m∠x=(197−5n)°
m∠x=(197−5*14)°
m∠x=(197−70)°
m∠x=127°
Thus, the required value of exterior angle m∠x is 127.
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Identify the slope and y-intercept of the graph of the equation. y = 5/3 x -2
Answer:
Slope: [tex]\frac{5}{3}[/tex]
Y-intercept: -2
Step-by-step explanation:
Conveniently, this equation is already in slope-intercept form.
The slope is always the constant of proportionality, which we multiply x by.
Therefore the slope is [tex]\frac{5}{3}[/tex].
The y-intercept is always the constant that comes after the x term, which is -2.
So the y-intercept is -2.
Hope this helped!
Answer:
Slope: 5/3
Y-intercept: -2
Step-by-step explanation:
Since your equation is already in slope intercept form, it makes it easier for you to identify the slope and y-intercept.
In your equation ([tex]y = \frac{5}{3} x -2[/tex]) the coefficient of 5/3 is your slope and your constant of -2 is your y-intercept.
Hope that helps and maybe earns a brainliest!
Have a great day! :)
PLEASE HELP!!! ASAP!!!
Answer:
28 units²
Step-by-step explanation:
→ Work out the size of the triangle if it was a full rectangle
Height = 4 and Base = 2
→ Work out area of triangle
0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4
→ Minus the area of the triangle from the "imaginary full' rectangle
Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32
32 - 4 = 28
Answer:
[tex]\huge\boxed{28\ units^2}[/tex]
Step-by-step explanation:
The figure consists of a triangle, a square and a rectangle.
Area of Triangle:
[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]
Area of Square:
[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]
Area of rectangle:
[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]
Area of the whole figure:
=> 4 + 16 + 8
=> 28 units²
Find the value of m∠ACD. A. 30º B. 15º C. 60º D. 90º
Answer:
A. 30 degrees
Step-by-step explanation:
Set the two angles equal to each other:
3x-15 = 45-x
Solve for x:
4x -15 = 45
4x = 60
x = 15
Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.
45 - 15 = 30
Answer:
A 30 degrees
Step-by-step explanation:
An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr
Step-by-step explanation:
half life time-50%-8.4hr
so for 10%- 8.4/5=1.68 hr
now for 70%
1.68 × 7 = 11.76 hrs
to one decimal place - 11.8hrs
11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.
What is half-life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
Half-life period - 50% -8.4hours
so for 10%- 8.4/5 = 1.68 hour
now for 70%
1.68 × 7 = 11.76 hours
To one decimal place - 11.8hours
Hence, 11.8hours is the answer.
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Pllzzz help I’ll mark brainliest
Answer:
26°
Step-by-step explanation:
AC=tan 64
BC=x=sec 64
Using sine rule
(Sin 64)/tan 64 = (sin BAC)/sec 64
Cos 64 = (sin BAC)(cos 64)
Sin BAC= 1
BAC=90
ACB+ 64+90=180
ACB= 26°
(5.3.4 journal: describing distributions) Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning(3 points: 1 point for each row of the chart)
The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)
Answer:
40%
Step-by-step explanation:
The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.
Set up a fraction:
[tex]\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}[/tex]
Convert into a decimal:
[tex]\frac{2}{5}= 0.4[/tex]
Multiply the decimal by 100 to get the percent:
[tex]0.4*100=40[/tex]
So, forty percent of the rectangle is shaded.
Hope this helps.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The percentage of the shaded rectangular boxes in the large rectangle is 40%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of rectangular boxes in the large rectangle = 5
Number of shaded rectangular boxes in the large rectangle = 2
The percentage of shaded rectangular boxes.
= 2/5 x 100
= 2 x 20
= 40%
Thus,
The percentage of the shaded rectangular boxes in the large rectangle is 40%.
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A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?
The graph has an outlier.
The data is clustered around 3.
Each column will be the same height.
There is not enough information.
will give brainliest
Answer:
Each column will be the same height.
Step-by-step explanation:
Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.
determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you
Find RS. A. 5 B. 10 C. 9 D. 12
Answer:
x=9
Step-by-step explanation:
PQ + QR + RS = PS
2x-6 + 1 + x-4 = 18
Combine like terms
3x -9 = 18
Add 9 to each side
3x-9+9= 18-9
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
Answer:
RS=5
Step-by-step explanation:
solve for x:
2x-6+1+x-4 = 18
combine like terms
3x-9=18
subtract both sides to make x isolated
3x=27
divide by 3 to get x
x=9
RS=x-4
RS=9-4
RS=5
need help with these questions!!! please explain bc I don't really get it!
Answer:
1. b. 2. a. 3. a.
Step-by-step explanation:
1. (f + g)x = f(x) + g(x)
= x^2 + 2x + 4
(f + g)(-1) = (f + g)(x) where x = 1 so it is
(-1)^2 + 2(-1) + 4
= 1 - 2 + 4
= 3.
2. We find (f o g)(x) by replacing the x in f(x) by g(x):
= √(x + 1) and
(f o g)(3) = √(3 + 1)
= √4
= 2.
3. (f/g) c = f(x) / g(x)
= (x - 3)/(x + 1)
The domain is the values of x which give real values of (f/g).
x cannot be - 1 because the denominator x + 1 = -1+1 = 0 and dividing by zero is undefined. So x can be all real values of x except x = -1.
The domain is (-∞, -1) U (-1, ∞)
Solve for v. 3v + 5v = 72 please simplify as much as possible! v = _ ?
Answer:
v is 9
Step-by-step explanation:
it is 9 because if you simplify it is 8v=72 or 9
Answer:
v = 9
Step-by-step explanation:
3v + 5v = 72
combine like terms
8v = 72
Divide by 8
8v/8 = 72/8
v =9
PLEASE HELP ME WITH THIS QUESTION ANYTHING HELPS!
Answer:
x = 148
Step-by-step explanation:
CPD is a straight line so it equals 180
CPB + BCD = CPD
x + 32 = 180
Subtract 32 from each side
x+32-32 = 180-32
x =148
Evaluate 9x*2 y*−2 for x = –3 and y = 2. Answers:
Answer:
20 and 1/4.
Step-by-step explanation:
9x^2 * y^(-2), for x = -3 and y = 2.
9(-3)^2 * 2^(-2)
= 9 * 9 * (1/4)
= 81 * 1/4
= 81 / 4
= 20.25
= 20 and 1/4.
Hope this helps!
Answer:
Step-by-step explanation:
Let's fill the values in.
9(-3)*2(2)*-2
Using PEMDAS, we would first multiply the two numbers where x and y used to be.
-27 * 4 * -2
Now we would finish multiplying this.
216.
Hope this helps!! <3
5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32
Answer:
its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4
The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?
Answer:
❁ 25% ❁
Explanation:
❁ The answer would be 25% ❁
Simplify
-
12 – 81 – 9
5.12
- 451
Answer:
-615.12
Step-by-step explanation:
hope this helps
plz mark as brainliest!!
What is the best estimate of the sum of $14.30, $143.08, and $19.74
Answer:
Step-by-step explanation:
ok so you start off by adding
14.30
143.08
19.74
177.12
177.12 is close to 180 if u estimate in tens, 177 if ones
The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
All real numerals and 0 are included in the category of whole numbers.
The process of adding up the different or more sums or figures.
The sum means plus sing is present between the terms.
The whole numbers are given below,
$14.30, $143.08, and $19.74
Then the summation of the whole numbers is given below.
⇒ $14.30 + $143.08 + $19.74
⇒ $177.12
Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.
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Drag each object to show whether distance is proportional to time in the situation represented.
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
Please answer ASAP
Randomly pick 6 points from a square of side = 1. Show that you can always find 2 points from these 6 that their distance is less or equal to [tex]\frac{\sqrt{2} }{2} }[/tex]
Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere ( half a sphere and boundary) that contains 4 points.
Problem 1.
My thinking is that the furthest you can get is have two points at each opposite corner, so the distance between them is sqrt(2). If we have two other points with this property, then all four corners are filled up. It is possible to pick two points where the distance is 1 unit.
Then a fifth point can be placed at the center such that the distance from it to any of the corners is sqrt(2)/2. We placed the fifth point at the center to try to get as far away as possible from the other four points.
Basically we're trying to find the worst case scenario (leading to the largest distance possible) and seeing how we can fill up the square. This establishes the upper bound. Any other kind of scenario will have a distance less than the upper bound.
===================================================
Problem 2.
For this one, I'm not sure what to make of it. The terminology is a bit strange so I'm not going to be fairly helpful here. Sorry about that.
If I had to guess, I'd assume it has something to do with the fact that a plane is uniquely defined by 3 points. That fourth point is not coplanar with the other three, which helps define the semi-spherical portion. The fifth point is just extra. The points can't be all collinear or else a plane won't form. Though to be honest, I'm still not sure about problem 2. I'd get a second opinion.
1% social security tax is charged up to the annual income of Rs 3,50,000 to an unmarried individual. If the monthly salary of an individual is Rs 16,400, how much social security tax should he pay in a year?
Answer:
Rs. 1968
Step-by-step explanation:
Tax rate = 1%
Monthly income of the person = rs. 16400
Now,
Yearly income of individual = rs. 16400×12=rs196800
Tax = tax rate × yearly income
= 1% × rs. 196800
= Rs.1968
Was the question this simple
Or I misunderstood the question :-(
27.
Charlotte Brontë Linens Warehouse carries a $1,239,500 inventory. Charlotte Brontë Linens
estimates the annual cost of carrying the inventory at 32% of the inventory value. What is
the approximate annual cost of carrying the inventory?
Answer:
Hey there!
For this question we want to find 32% of 1239500.
0.32(1239500)=396640.
Hope this helps :)
PLEASE HELP!! WILL GIVE BRAINLIEST!!!! Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) **note: please provide me with the numbers that are supposed to go in the blank boxes as you can see in the attachment below.**
Answer:
At company for less than 2 years:
College degree: 0.24
No college degree: 0.76
At company for more than 2 years:
College degree: 0.7
No college degree: 0.3
Step-by-step explanation:
To find the relative frequency for those at the company for less than 2 years with a degree:
5 + 16 = 21
5 / 21 = 0.23809523809
≈ 0.24
To find the relative frequency for those at the company for less than 2 years with a degree:
5 + 16 = 21
16 / 21 = 0.7619047619
≈ 0.76
Check:
0.24 + 0.76 = 1
To find the relative frequency for those at the company for more than 2 years with a degree:
14 + 7 = 21
14 / 21 = 0.666..
≈ 0.70
To find the relative frequency for those at the company for less than 2 years with a degree:
14 + 7 = 21
7 / 21 = 0.333..
≈ 0.30
Check:
0.70 + 0.30 = 1
I really hope this helps! Tell me if I'm wrong!
3(2x - 4) = 4(x + 1)
X=__?
Answer:
8!
Step-by-step explanation:
SIMPLIFY
6X-12=4X+4
PUT LIKE TERMS TOGETHER
6X-4X=4+12
SIMPLIFY
2X=16
X=16/2
X=8
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Hey there! I'm happy to help!
First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.
3(2x-4)
We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.
4(x+1)
We do 4 times x which is 4x, and 4 by 1, which is 4.
This gives us this equation.
6x-12=4x+4
Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.
6x-12=4x+4
We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.
6x=4x+16
We subtract 4x from both sides.
2x=16
We divide both sides by 2.
x=8
Have a wonderful day! :D
Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.
Answer:
just did this on a test and it was
The exponent 3 is an odd number.
Step-by-step explanation:
Hince the statements which justify it:
The base -2 is a negative number.
The exponent 3 is an odd number.
Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2
Because the base, -2, is a negative number.
When an odd number of negative numbers are multiplied together, the result is always negative.
In this case, there are three negative numbers (-2 x -2 x -2),
Which is an odd number, resulting in a negative answer.
However, since the base is negative, the result will always be negative for any odd exponent.
Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.
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Plzz help I’ll mark brainliest
Answer:
6cot 50
Step-by-step explanation:
Tan 50=6/x
x= 6/(tan 50)
x= 6cot 50°
Answer:
? = 6 cot 50
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 50 = 6 /?
? tan 50 = 6
? = 6 / tan 50
We know that 1 / tan 50 = cot 50
? = 6 cot 50
Help and show work please.
Any rectangle is also a parallelogram (but not the other way around). So AB is parallel to CD. The angles BAC and ACD are alternate interior angles that are congruent due to the parallel sides mentioned.
(angle BAC) = (angle ACD)
3x+4 = x+28
3x-x = 28-4
2x = 24
x = 24/2
x = 12
So,
angle BAC = 3x+4 = 3*12+4 = 40 degrees
and
angle CAD = 90 - (angle BAC) = 90 - 40 = 50 degrees
With any rectangle, the four interior angles are always 90 degrees. So that's why angles BAC and CAD add to 90.