[tex]\\ \sf\longmapsto \dfrac{k-1}{15}=\dfrac{15}{9}[/tex]
[tex]\\ \sf\longmapsto 9(k-1)=15^2[/tex]
[tex]\\ \sf\longmapsto 9k-9=225[/tex]
[tex]\\ \sf\longmapsto 9k=225+9[/tex]
[tex]\\ \sf\longmapsto 9k=234[/tex]
[tex]\\ \sf\longmapsto k=\dfrac{234}{9}[/tex]
[tex]\\ \sf\longmapsto k=26[/tex]
Step-by-step explanation:
everything can be found in the picture
is -17 a rational number or irrational number
Answer:
rational
Step-by-step explanation:
if a number can be written as a fraction, where p and q are integers and q is a non-zero number
Angle sum theorem. What does y=?
Answer:
90 degrees
Step-by-step explanation:
Eliana made cookies. She used 8 12 of a cup of flour and 6 12 of a cup of sugar. How much more flour than sugar did Eliana use?
Answer:
2/12 the answer
B={the first five multiple of 2}. Express it in roster method and rewrite in set builder method?
Answer:
B (2,4,6,8,10) is the answer
B=(X:X is the first five multipel of 2)
this is a correct answer
Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15
Answer:
D
Step-by-step explanation:
x + 5 > 11
is the same as
x > 6
and because it is ">" and not ">=", the solution point is not included.
therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".
The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.
What is the value of x?
x=0.25
x=2.4
x=2.56
x=4
Pls help meeeehhhh I will give brainliesttttt :D
Suppose u and v are orthogonal vectors with ||u|| =5 ||u||= 1/2 ||v||, find ||u+v||.
help pleas I will give you 15 points
Answer: 5*sqrt(5)
This is the same as sqrt(125).
It approximates to roughly 11.1803
=========================================================
Explanation:
Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.
The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.
vector u = 5 units longvector v = 10 units longThe two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.
We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).
Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.
To find the length of vector u+v, we apply the pythagorean theorem.
a^2+b^2 = c^2
( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2
( 5 )^2 + ( 10 )^2 = x^2
25 + 100 = x^2
125 = x^2
x^2 = 125
x = sqrt(125)
x = sqrt(25*5)
x = sqrt(25)*sqrt(5)
x = 5*sqrt(5) is the length of vector u+v
In other words, ||u+v|| = 5*sqrt(5)
Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add
Answer:
2 cups of yogurt
Step-by-step explanation:
1=1/2
4=4×(1/2)
=2
express the trinomial (x+1)(3x+2)
Answer:
3x^2+5x+2
Step-by-step explanation:
(3x^2)+(2x)+(3x)+(2)
3x^2+5x+2.
Answer:
3x²+5x+2
Step-by-step explanation:
(x+1)(3x+2)
(3x²)+(2x)+(3x)+(2)
3x²+5x+2.
the quotient of 5+h and n+3
Answer:
5+h/n+3
Step-by-step explanation:
5+h is numerator
and n+3 is denominator
so you make it a fraction to get the quotient which is 5+h/n+3
Need help as soon as possible pls!!!!!
Answer:
probability
Step-by-step explanation:
do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.
This is line segments.
Step-by-step explanation:
[tex]here \: b \: is \: the \: mid \: point \\ so \: ab = bc \\ 10x - 17 = 6x + 11 \\ x \: terms \: togather \\ 10x - 6x = 11 + 17 \\ 4x = 28 \\ x = \frac{28}{4} \\ x = 7 \\ thank \: you[/tex]
how do you solve 11=t+11.5-t?
Equations are represented with the = sign. It means both sides of the equation are equal. [tex]11=t+11.5-t[/tex] has no solution
Given that:
[tex]11=t+11.5-t[/tex]
Start by collecting like terms
[tex]11-11.5=t-t[/tex]
Evaluate like terms
[tex]-0.5 = 0[/tex]
-0.5 is not equal to 0.
Hence, the equation has no solution
Read more about equations at:
https://brainly.com/question/315182
wrie down the equation of the line that is parallel to 4x - 2y = 7 and passes through (9, -3)
Answer:
4x-2y =42 is the required equation
Step-by-step explanation:
given equation is,
4x-2y -7=0---------eqn1
parallel equation of given equation is
4x -2y+k =0-------eqn 2
now passing it through (9,-3), we get,
4×9 + 2×3 +k = 0
or,36+6+k =0
or,42+k =0
or, k= -42
putting the value of k in eqn2
4x-2y - 42=0
4x-2y = 42
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder
Answer:
C. 640π cubic units
Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3
Answer:
B
Step-by-step explanation:
The solid circle at - 3 indicates that x can be equal to - 3
The arrow pointing left indicates the values of x are less than - 3
Then
x ≤ - 3 → B
Line l in the xy-plane is perpendicular to the line
with equation x = 2. What is the slope of line l?
The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is x = 2. Then the slope of the equation will be given as,
m = ∞
The slope of the perpendicular line is calculated as,
⇒ -1/m
⇒ -1/∞
⇒ 0
The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
#SPJ2
A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??
Answer:
$31,598.33
Step-by-step explanation:
she worked 4+5=9 days.
due the total average we need the total of sales and divide it by the length of the observation period (9 days).
how much did she sell in total on the first 4 days ?
well, the average times 4 = 32130×4 = $128520
how much did she sell in total during the following 5 days ?
31173×5 = $155865
so, the daily average is
($128520 + $155865) / 9 =$284385 / 9 = $31,598.33
Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.
Answer:
[tex]1\frac{1}{4}[/tex] cups
Step-by-step explanation:
1. Info we have3/4=3/5
2. Solving3/4*1/3=3/5*1/3
1/4 = 1/5
1/4*5=1/5*5
5/4=5/5
5/4= 1 and 1/4 cups
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811
Answer:
The correct answer is A.
Step-by-step explanation:
Write another way to group the factor (3×2)×5 then find the product
Answer:
30
Step-by-step explanation:
Another way to group the factor would be 3(2×5)
2 times 5 is 10 and then 10 times 3 is 30 so therefore, your answer is 30
For the equation: – 36 – 4r = -2(-6 + 6r), what is the value of r?
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
+36 +36
----------------------------------
-4r = -12r + 48
+12r +12r
----------------------------------
8r = 48
/8 /8
----------------------------------
r = 6
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
-36 - 4r = 12 - 12r
-48 - 4r = -12r
-48 = -8r
r = 6
Which of the following expressions has a value of 4? A. (16 – 12)2 B. – | – 4 | C. (96 ÷ 8) – 2 to the 3rd power D. 24 – 42
Answer:
A. (16-12)
Step-by-step explanation:
16-12
Answer
=4
Which of the choices shows these values arranged from greatest to
least?
.68% 2.43
12/6 2 over -3
Answer:
vdffdersewsesdfdresweseseseeerswesdsfd
Step-by-step explanation:
reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww
4.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2
Answer:
A. b2 – 4ac = 0
Step-by-step explanation:
Hey user☺☺
Option a is correct
Because the graph has only one solution.
As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.
Hope this will help☺☺
The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.
Answer:
18 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
113.04 = 2 ( 3.14) * r
113.04 = 6.28 r
Divide each side by 6.28
113.04/6.28 = 6.28r/6.28
18 =r
What is the period of the function given?
pls
Answer:
2. ☑ A [tex]\displaystyle f(x) = tan\:\frac{1}{2}x[/tex]
☐ B [tex]\displaystyle f(x) = tan\:2x[/tex]
☐ C x = [tex]\displaystyle 2tan\:x[/tex]
1. ☐ A [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ B [tex]\displaystyle \pi[/tex]
☑ C [tex]\displaystyle 2\pi[/tex]
Explanation:
[tex]\displaystyle \boxed{f(x) = -cot\:(\frac{1}{2}x - \frac{\pi}{2})} \\ \\ y = Acot(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
OR
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS the tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cot\:\frac{1}{2}x,[/tex] in which you need to replase "tangent" with "cotangent", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \pi\:units[/tex] to the left, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \pi\:units,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\pi} = \frac{\frac{\pi}{2}}{\frac{1}{2}},[/tex] but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle y = -cot\:(\frac{1}{2}x - \frac{\pi}{2}).[/tex] Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are [tex]\displaystyle -\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{2\pi} = \pi + \pi.[/tex] So, the period of this function is [tex]\displaystyle 2\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = 0.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
answer needed within one hour :(
Step-by-step explanation:
ANGLE ,x=60
B=C(isoscles)
A=B.As sides are equal.
Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answer:
a)
[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]
b)
[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]
c)
[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]
I hope I helped you^_^
1 3/4 divided by 2 3/8
will give brainiest pls help
Answer:
[tex]\frac{14}{19}[/tex]
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{7}{4} \div \frac{19}{8}[/tex]
Applying the fractions formula for division:
[tex]= \frac{7 \times 8}{4 \times 19}[/tex]
[tex]= \frac{56}{76}[/tex]
Simplifying 56/76, the answer is:
[tex]\frac{14}{19}[/tex]
I hope this helps! :)
Answer:
the answer is 14/19
change the mixed numbers to improper fractions then that becomes 7/4 and 19/8 then multiply across 7x8=56 and 19x4=76 that gives you 56/76
Simplifying 56/76,= 14/19