X = angle D + angle B
X = 33 + 46
X = 79 degrees
[tex]\frac{s+24}{7}[/tex] = –2
s = ______
Step-by-step explanation:
S+24/7 = -2
7×{S +24/7} = -2×7
S+24 = -14
S+24-24 = -14-24
S = -38
Find the slope of a line perpendicular to the line
36y - 4x = 18.
A perpendicular line would have slope m =
The solution is
Answer:
-36x-4y+72=0
Step-by-step explanation:
given line
36y-4x=18
or 4x-36y+18=0.......(i)
comparing(i) with ax+by+c=0
we get
a=4
b= -36
c=18
we know
line parallel to (i) is
bx-ay+k=0
where k = ac
then
-36x-4y+4×18=0
therefore -36x-4y+72=0 is the required equation
PLEASE HELPP!! QUESTION IS BELOW
Answer:
C
Step-by-step explanation:
Because the four line make a quadrilateral in which line a and d are parallel , line b and c are parallel. Then the others like line a and b ,a and c ,d and b are perpendicular.
If you draw it , it will be easier
Hope it helps ... Brainliest please
Answer: c
Step-by-step explanation:
Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
Answer:
[tex] \frac{1}{2} [/tex]Solution,
Let the points be A and B
A(-4 , 1)------>( X1, y1)
B(2,4)---------->( x2, y2)
Now,
Gradient:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 1}{2 - ( - 4)} [/tex]
[tex] \frac{3}{2 + 4} [/tex]
[tex] \frac{3}{6} [/tex]
[tex] \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment...
Answer:
1/2
Step-by-step explanation:
can someone help me explain it
Answer:
110.40
Step-by-step explanation:
First find the discount
120 * 20%
120*.2 = 24
Subtract this from 120
120-24
96
Now find the tip
96* 15%
96*.15
14.4
Add this to the 96
96+14.4
110.40
Answer:
$110.40
Step-by-step explanation:
The total is $120 and since there a coupon we need to subtract 20%
20% as a decimal is 0.2
When you do 0.2 multiplied by 120 you would get 24
After that you subtract $24 and get $96
15% as a decimal is 0.15
0.15 multiplied by 96 is 14.4
94 + 14.4 = 110.4
The diagram shows two congruent regular polygons joined together.
Work out the number of sides
of each polygon.
Note: Please write your final answer as ... sides.
Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?
I'm confused, how do you solve this...
Answer:
9 hours
Step-by-step explanation:
First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.
Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.
Answer:
9 hours
360/80 = 4.5 x 2 = 9
Find the missing side to the triangle in the attached image. Thanks.
Answer:
Let's use Pythagorean Theorem which states:
6² + 10² = x²
36 + 100 = x²
136 = x²
x = ± 2√34
Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.
Answer:Answer:
Let's use Pythagorean Theorem which states:
6² + 10² = x²
36 + 100 = x²
136 = x²
x = ± 2√34
Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.
Read more on Brainly.com - https://brainly.com/question/17033938#readmore
Step-by-step explanation:
To create an open-top box out of a sheet of cardboard that is 25 inches long and
13 inches wide, you make a square flap of side length x inches in each corner by
13 in.
cutting along one of the flap's sides and folding along the other. (In the diagram,
a solid line segment in the interior of the rectangle indicates a cut, while a
dashed line segment indicates a fold.) Once you fold up the four sides of the
box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the
volume of the box.
Step-by-step explanation:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Answer:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Step-by-step explanation:
Differentiate... How to solve this type of problem? y = cos^2(x^2 + x^3)
Answer:
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
Step-by-step explanation:
Step(i):-
Given y = cos² (x² + x³) ....(i)
By using differentiation formulas
a) [tex]\frac{d}{dx} (cosx) = -sinx[/tex]
b) [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
Step(ii):-
Differentiating equation (i) with respective to 'x'
First apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} )^{2-1} \frac{d}{d x} (cos(x^{2} +x^{3})[/tex]
Now we will apply formula
[tex]\frac{d}{dx} (cosx) = -sinx[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3})\frac{d}{dx} (x^{2} +x^{3} )[/tex]
Again apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
[tex]\frac{d y}{d x} = -2 sin (x^{2} +x^{3} ) cos(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
we know that trigonometric formulas
Sin 2θ = 2 sinθ cosθ
[tex]\frac{d y}{d x} = -sin2(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
Final answer:-
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.
Answer:
A
Step-by-step explanation:
it right on edge
Answer:
A.
Step-by-step explanation:
Did the unit test in edge and got 100
PLZ HELP here are three triangles shown separately, these triangles are similar. How do you know?
Answer:
Using the AA similarity postulate, you can determine that these triangles are similar.
Step-by-step explanation:
All three triangles are right triangles, so they all have 90° angles.
Angle B is present in the large and small triangle. Therefore, you know those 2 triangles are similar. You can also prove that angles A and C are the same.
A and B are complementary angles in the large triangle and the same with B and C in the small one. Since B ≅ B by Reflexive Property, A and C must have the same angle measurement since they are complements of the same angle.
Answer: Becasue the AA similarity Postulate
Step-by-step explanation:
Determine the domain and range of this set of ordered pairs.
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
O A. Domain = (-3,-1,0,4,6,7), range = (-5,2,4,6,8,9}
O B. Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
O C. Domain = {-5,2,8,9), range = (-3,-1,0,4,6,7)
D. Domain = (-5,2,4,6,8,9}, range = {-3,-1,0,7}
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Find the missing segment in the attached image
Answer:
? = 78
Step-by-step explanation:
Use similar triangles.
26/12 = (26 + ?)/48
13/6 = (26 + ?)/48
6(26 + ?) = 13 * 48
156 + 6? = 624
6? = 468
? = 78
Answer:
The missing segment is equal to 78
Step-by-step explanation:
Using the similarity of triangles:
[tex]x=?[/tex]
[tex]$\frac{x+26}{48}=\frac{26}{12} $[/tex]
[tex]12(x+26)=48 \cdot 26[/tex]
[tex]12x+312=1248[/tex]
[tex]12x+312=1248[/tex]
[tex]12x=936[/tex]
[tex]x=78[/tex]
Father has two apples, three pears, and two oranges. Every morning, during one week, he gives one fruit to his son for breakfast. How many ways are there to do this?
Answer:
210
Step-by-step explanation:
Since the condition does not state an opposite, I should assume that the apples are not distinguishable, same as the pears and the oranges.
So we have permutations of 7 fruits with 2 indistinguishable apples, 3 indistinguishable pears and 2 indistinguishable oranges.
The number of distinguishable arrangements is
7 1x2x3x4x5x6x7
--------- ---------------------- = 210
2x3x2 2x6x2
Answer. There are 210 ways to do it.
PLEASE ANSWER! FIRST CORRECT ANSWER GETS BRAINLIEST!
Answer:
The answer should be 20.
Step-by-step explanation:
First, you need to understand the abbreviated list: PEMDAS. I'm not sure if you guys learned this or not, but it helps to know when solving problems like this.
So, if you don't know: PEMDAS is a list of what order you would need to start with when solving a problem. The order is Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
With that in mind, we'll start by looking at the numbers in the numerator of this fraction. (Doesn't matter if you start with the numerator or denominator first.)
You want to start with the numbers in the parentheses as that is the first letter in the PEMDAS phrase.
[tex](7-6.35) = 0.65[/tex]
Now, we have division and an addition sign next. According to PEMDAS, you want to start with Division before you Add. So, you will end up having a 10 in the numerator. (I'm assuming you can use a calculator for this, so I'm not showing how to divide the decimals.)
[tex]\frac{(0.65)}{6.5}+9.9=0.1+9.9 =10[/tex]
Save that number somewhere for now since we will have to come back to it later. For the denominator, we have a set of parentheses that the problem wants us to focus on so, ignore the [tex]7\frac{1}{24}[/tex] for now.
Start with the first set of numbers that have the division sign in between.
[tex]\frac{1.2}{36} =0.03333[/tex]
Don't add just yet after getting this number. You want to divide the 1.2 and [tex]\frac{1}{4}[/tex] since Division needs to be done first before Adding or Subtracting.
[tex]\frac{1.2}{\frac{1}{4} }=4.8[/tex]
The resulting numbers in the parentheses should look like this now (we're still ignoring the [tex]7\frac{1}{24}[/tex] at the end after the parentheses):
[tex](0.03333+4.8-1\frac{5}{16})=3.520833333[/tex]
This expression is also the same as this if you wanted to change the fraction at the end of the parentheses:
[tex](0.03333+4.8-\frac{21}{16})=3.520833333[/tex]
Now you can finally take this number and divide it by [tex]7\frac{1}{24}[/tex] or [tex]\frac{169}{24}[/tex].
[tex]\frac{3.520833333}{\frac{169}{24} }=0.5[/tex]
These are really big numbers when you are dividing so hopefully you don't have to solve this all out in your head or by paper. Now, remember that 10 we got from the numerator earlier? We can finally use that here where we have that as our numerator and 0.5 as our denominator.
[tex]\frac{10}{0.5} =20[/tex]
This gives you the final answer of 20.
6(q − 76) = 48 q = _____
━━━━━━━☆☆━━━━━━━
▹ Answer
q = 84
▹ Step-by-Step Explanation
6(q - 76) = 48
q - 76 = 8
q = 8 + 76
q = 84
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Your answer to this equation is 84. q = 84
Step-by-step explanation:
6(q - 76) = 48
First, take q and subtract it:
q - 76 = 8
Next, do this:
q = 8 + 76
Therefore, q = 84
I need help ASAP for this question
Answer:
ans is d
hope it helps
mark as brianliest
PLEASE!!! HELP!!! Question: If you have points on a graph that plot (1,7), (2,8), (3,5) and (4,6) what would be the slope?
Answer:
1
Step-by-step explanation:
You only need two points to find the slope.
Let's use (1,7) and (2,8).
The formula for slope is (y2-y1)/(x2-x1)
Let's plug the values in:
(8-7)/(2-1) = 1.
So, the slope is 1.
Which expression represents the algebraic phrase “twelve times the sum of a number and seven-tenths”? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12)
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I need help with this question
Answer:
It's the first option.
Step-by-step explanation:
The line which rises to the right has a slope of 1 and a y-intercept of -6.
It's equation is y = x - 6.
The one which rises to the left has slope -1 and y-intercept -2.
It's equation is y = -x - 2 or x + y = -2.
The solution is at the point where the 2 lines cross - that is (2, -4).
Consider the following expression and determine which statements are true. x^2+5yz−8
Answer:
A.there are 3 terms.
B.the variables are x, y, and z.
Step-by-step explanation:
Complete question below:
Consider the following expression and determine which statements are true. x^2+5yz−8
CHOOSE 2 ANSWERS)
A.there are 3 terms.
B.the variables are x, y, and z.
C.The coefficient of x is 2.
D.the term 5yz is made up of 2 factors
The expression x^2+5yz-8
has three terms namely: x^2, 5yz and -8
The variables are x, y and z
The coefficient of x is 1 not 2, so option c is wrong
The term 5yz is made up of more than two factors namely 5, y, z, 5y, 5z, 5yz . So option d is also wrong.
The correct answers are option a and option b
A.there are 3 terms.
B.the variables are x, y, and z
Answer:
A and B
Step-by-step explanation:
What Khan said
PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3
Answer:
max for 5th-degree: 4 turns. This function: 2 turns.max for 7th-degree: 6 turns. This function: 0 turns.Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
__
1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
__
2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Choose the single logarithmic expression that is equivalent to the one shown.
log2 6 + log2 2 − log2 8
Answer:
C. log2 3/2.
Step-by-step explanation:
When you are adding two logs with the same base, you multiply.
So, log2 6 + log2 2 = log2 6 * 2 = log2 12
When you subtract two logs with the same base, you divide.
So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2
The answer is C. log2 3/2.
Hope this helps!!
7. If W = 3Z, and Z is 30% of R, then W is what
percent of R?
please answer asap i’ll give brainliest answer !!
Answer:
90%
Step-by-step explanation:
Let R = 100
Since, Z = 30% of R
Therefore, Z = 30% *100 = 30
Since, W = 3Z
Therefore, W = 3*30 = 90
Percentage of W of R
[tex]= \frac{Value \: of \: W}{Value \: of \: R} \times 100\\\\
=\frac{90}{100} \times 100\\\\
Percentage \:of \:W \:of \:R =90\%[/tex]
If W = 3Z, and Z is 30% of R. Then W is 90 percent of R.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
If W = 3Z, and Z is 30% of R.
Z = 0.30R
The put the value of Z in the equation W = 3Z.
W = 3 (0.30R)
W = 0.90 R
Then W is 90 percent of R.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
Solve by factoring 6x^3 - 16x^2 - 32x = 0. Enter your work
Hey there! :)
Answer:
x = -4/3, 0, 4.
Step-by-step explanation:
Starting with:
6x³ - 16x² - 32x = 0
Factor out the greatest common factor between each term, or 2x:
2x(3x² - 8x - 16) = 0
Factor the expression inside the parenthesis:
2x(3x +4)(x - 4) = 0
Use the Zero Product Property to solve the equation:
2x = 0
x = 0
---------
3x + 4 = 0
3x = -4
x = -4/3
-------------
x - 4 = 0
x = 4
-------------
Therefore, the solutions to this equation are:
x = -4/3, 0, 4.
Answer:
Step-by-step explanation:
The common factor is 2x
2x(3x^2 - 8x - 16)
(x - 4)(3x+4)*2x = 0
x = 2
x = 4
x = -4/3
This does not graph too awfully well, but at least it givens you a notion of the roots.
Let #N mean the number of days in year N. What is the value of #1988 + #1989 + #1990 + #1991?
A) 1460
B) 1461
C) 1462
D) 1463
Answer:
I need help though cause I had this for homework right now
Step-by-step explanation:
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
2x² + 2
Step-by-step explanation:
Because it's exponential it should rise the fastest. I hope this is right and helps!
Answer:
The answer is C (2x² + 2)
Step-by-step explanation:
I just took this test and got it right
Hopefully this helps you :)
pls mark brainlest ;)
Find the value of the logarithm.
log 210
Round your answer to the nearest thousandth.
Answer:
5.347
Step-by-step explanation:
5.3471075307175.
Answer:
Your correct answer is 5.347
Use your calculator to find the value of each trig function below. Round to the tenth place.
Answer: 0.7
Step-by-step explanation: use calculator XD
The value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.
Given that, sin 24°, cos 45° and tan 88°.
We need to find the value of the trig function.
What are the six trigonometric functions?The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent.
Now, sin 24°=0.4067≈0.4
cos 45°= 0.70710≈0.7
tan 88°=28.63625≈28.6
Therefore, the value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.
To learn more about the trigonometric functions visit:
https://brainly.com/question/6904750.
#SPJ2