Answer:
x=15
Step-by-step explanation:
The pattern of numbers can be re-written in the form below:
[tex]\left\begin{array}{ccccccccccccc}&&&&&&1&&&\\&&&&&1& &1&&&\\&&&&1& &2 &&1\\&&&1 &&3 &&3 &&1\\ &&1 &&4 &&6&& 4&& 1\\ &1 &&5&&10&&10&&5&&1\\ 1 &&6 &&x &&20&& x &&6 &&1\end{array}\right \\[/tex]
The triangular array which involves summing adjacent elements in preceding rows is referred to as the Paschal's Triangle.
Taking the 6th and seventh row, the adjacent elements in the 6th row are summed on the Left Hand sides and the result from the seventh row is given on the right hand sides of the equations below.
1+5=65+10=x10+10=2010+5=x5+1=6We can then see that:
5+10=x; and
10+5=x
10+5=5+10=15
Therefore:
x=15
Answer:
hehe
Step-by-step explanation:
How many solutions does the following equation have?
5x+8-7x=-4x+15x+8−7x=−4x+1
Answer:
This has one solution
Step-by-step explanation:
5x+8-7x=-4x+1
Combine like terms
-2x+8 = -4x+1
Add 4x to each side
-2x+4x+8 = -4x+4x+1
2x+8 = 1
Subtract 8 from each side
2x+8-8=1-8
2x = -7
Divide by 2
2x/2 = -7/2
x = -7/2
Answer:
One solution
Step-by-step explanation:
did it on khan:)
A bag contains 3 red marbles, 5 blue marbles, and 4 green marbles if three marbles are drawn out of the bag what is the exact probability that all three marbles drawn will be blue?
Answer:
3 + 5 +4 = 12
3/12
= 1/4
Step-by-step explanation:
1. add the marbles together
2. divide the number of marbles drawn out by the total number of marbles.
Jordan prepares 200 name tags to use at a
meeting. The number for each color of the
name tag is described below.
• 35% of the name tags are blue
•
3
8
of the name tags are yellow
• all of the remaining name tags are red
How many of Jordan’s name tags are red?
Answer:
number of red tags = 200 - 70 - 38 = 92
Step-by-step explanation:
Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue tags
number of blue tags = 35% of 200
number of blue tags = 35/100 × 200
number of blue tags = 70
The number of yellow tags = 38
The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.
number of red tags = 200 - 70 - 38 = 92
please help me with math
Answer:
592 sq. ft.
Step-by-step explanation
area of front and back=2[12×6]+2[1/2×12×8]=144+96=240 ft²
side area=2[(6+10)×11]=2×176=352 ft²
Total surface area=240+352=592 square feet.
How to round three decimal places
Answer:
go FORWARD 3 places
Step-by-step explanation:
Find the area of triangle ABC.
A. 24 cm
B. 32 cm2
C. 48 cm2
D. 64 cm
E. 128 cm2
I don’t need an explanation just the answer thank you c:
Answer:
24 centimetre
hope it is helpful
Please help!
Eric has $4,610 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$ ___
Answer:
$ 4,986.18
Step-by-step explanation:
A = $ 4,986.18
A = P + I where
P (principal) = $ 4,610.00
I (interest) = $ 376.18
Find a unit rate: Joel ran 1500 meters in 5 minutes, 5 seconds.
Answer:
minutes
Step-by-step explanation:
Simplify square root of five times the quantity six minus four square root of three.
6√5 - 4√3-
i took the test but sorry if its wrong
What’s the median of this set of data 71,37,22,81,65,54,52,41,48,71
Answer:
I'm glad you asked!
Step-by-step explanation:
Step 1:Order the numbers from least to greatest.
[tex]22,37,41,48,52,54,65,71,71,81[/tex]
Step 2:Now find the middle number.
[tex]22,37,41,48[/tex],52,54[tex],65,71,71,81[/tex]
Step 3:Since there are two numbers,we add them together then divide by 2.
[tex]52+54 =106[/tex]
[tex]106/2=53[/tex]
The median is 53.
Answer:
53
Step-by-step explanation:
Can anyone help me out on this, please? I'll mark you brilliant. :)
try 22
Step-by-step explanation: Maybe it could work, hope it. helps,
Khan?
PLEASE HELP LAST QUESTION
Answer:green area- triangle area = 72-9 = 63
Step-by-step explanation:
please answer quick!!
Answer: B
Step-by-step explanation:
[tex]\frac{2}{7k}(k-7)[/tex]
[tex]\frac{2k-14}{7k}[/tex]
[tex]\frac{2k}{7k}-\frac{14}{7k}[/tex]
[tex]\frac{2}{7}-\frac{2}{k}[/tex]
Can anyone help me please guys?
Answer:
Cost of the tires in 2008 = 23333 dollars
Step-by-step explanation:
Number of snow tires purchased are represented by,
T = [tex]\frac{500(t+20)}{(t+75)}[/tex]
Where t = duration from year 2000
Similarly, cost of the tires area represented by,
C = [tex]\frac{t+75}{1-.05t}[/tex]
Therefore, cost of T tires = C × T
= [tex]\frac{t+75}{1-.05t}[/tex] × [tex]\frac{500(t+20)}{(t+75)}[/tex]
= [tex]\frac{500(t+20)}{1-0.05t}[/tex]
Now cost of the tires in year 2008 (t = 8 years)
Total cost = [tex]\frac{500(8+20)}{(1-0.05\times 8)}[/tex]
= [tex]\frac{14000}{0.6}[/tex]
= $23333.3
≈ 23333 dollars
Awaste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 19y * d ^ 3 of debris. Find the dimensions of the dumpster that will minimize its surface area.
Answer:
1.92 yd x 3.83 yd x 2.58 yd
Step-by-step explanation:
We have given a rectangular base, that its twice as long as it is wide.
It must hold 19 yd³ of debris.
Lets minimize the surface area, subject to the restriction of volume (19 yd³)
The surface is given by:
[tex]S=2(w*h+w*2w+2wh)=2(3wh+2w^2)[/tex]
The volume restriction is:
[tex]V=w*2w*h=2w^2h=19\\\\h=\frac{9.5}{w^2}[/tex]
replacing h in the surface equation, we have:
[tex]S=2(3wh+2w^2)=6w(\frac{9.5}{w^2})+4w^2=57w^{-1}+4w^2[/tex]
Derivate the above equation and set it to zero
[tex]dS/dw=57(-1)w^{-2} + 8w=0\\\\57w^{-2}=8w\\\\w^3=57/8=7.125\\\\w=\sqrt[3]{7.124} =1.92[/tex]
The height will be:
[tex]h=9.5/w^2=9.5/(1.92^2)=9.5/2.69=2.58[/tex]
Therefore,The dimensions that minimize the surface are:
Wide: 1.92 yd
Long: 3.83 yd
Height: 2.58 yd
2) A player took 12 shots and
made 9. What percent did
he make?
Answer: 9/12 equals 0.75 so 75 percent is the answer.
Step-by-step explanation:
To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. By using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. Y = negative 14. Amos's solution is (2, –14). What did he do wrong?
Answer:
He forgot to multiply 6x by -5
Step-by-step explanation:
8x + 5y = 18
6x + y = -2
-30x - 5y = 10
Answer: C I think
Step-by-step explanation:
Can someone plz help me
Answer:
i think its c
Step-by-step explanation:
Answer:
The answer is C. 5a² - 4a + 1
Step- by- Step:First you want to Distribute the Negative Sign:
= 10a² + 3 − 5a + −1 (2 + 5a² − a)
= 10a² + 3 + −5a + (−1) (2) + −1 (5a²) + −1 (−a)
= 10a² + 3 + −5a + −2 + −5a² + a
Add Like Terms:
= 10a² + 3 + −5a + −2 + −5a² + a
= (10a² + −5a²) + (−5a + a )+( 3+ −2)
= 5a² + −4a + 1
Happy To Help! :)
The volume of this rectangular prism is 70 cubic units. If the area of the base is 28 square units, what is the height of the prism.
Answer:
height = 2.5 units
Step-by-step explanation:
The volume of a rectangular prism is given by the product of its base area and its height. If the area of the base is 28 square units and the volume is 70 cubic units, we can find the height as follows:
Volume = base area * height
70 = 28 * height
height = 70 / 28
height = 2.5 units
The height of the rectangular prism is 2.5 units.
To measure the height of a mountain, a surveyor took two sightings, one 1000 feet farther from the mountain of the other. The first angle of elevation was 85° and the second was 83°.
What is the mountain’s height?
Answer:
Height of the mountain was 28331.8 feet.
Step-by-step explanation:
An observer took the measurements from two sights C and D.
Point D was 1000 ft away from the earlier sight point C.
Angle of elevations from points C and D were 85° and 83° respectively.
From ΔABC,
tan85 = [tex]\frac{h}{x}[/tex]
x = [tex]\frac{h}{tan85}[/tex] -----(1)
Similarly, from ΔABD,
tan83 = [tex]\frac{h}{(x+1000)}[/tex]
x + 1000 = [tex]\frac{h}{tan83}[/tex]
x = [tex]\frac{h}{tan83}-1000[/tex] -----(2)
Now we substitute the value of x from equation (1) in the equation (2)
[tex]\frac{h}{tan85}=\frac{h}{tan83}-1000[/tex]
0.122785h - 0.087488h = 1000
0.035296h = 1000
h = 28331.822 ft
h ≈ 28331.8 ft
Therefore, height of the mountain was 28331.8 feet.
anyone know this trig question?
Answer: 23.8
Step-by-step explanation:
Since sine= opp/hyp we can use the given info to establish
sin39=15/x
x=23.8
Answer:
d) x≈23.8
Step-by-step explanation:
sin 39 = 15/x multiply by x each side
x sin 39 = 15 divide by sin39
x = 15/sin 39
x = 23.84
x≈23.8
Triangle CDE is translated down into the right forming triangle C’D’E’. Which congruency statement is correct?
Answer:
B: DCE=D'C'E'
I hoped this helped you!
The required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.
What is congruent geometry?In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.
Here,
Triangle DCE is congruent to triangle D'C'E'.
This is because a translation is a type of transformation that preserves the shape and size of the original figure, so the two triangles are congruent with each other.
Thus, the required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.
Learn more about congruent geometry here. https://brainly.com/question/12413243
#SPJ7
Which represents the reflection of f(x) = StartRoot x EndRoot over the x-axis?
Step-by-step explanation: For edge2020 it is C graph.
What is the difference between -4 and 6?
O -10
0 -2
2
10
Answer:
10
Step-by-step explanation:
Subtract -4 from 6
6 - -4
Subtracting a negative is like adding
6 +4
10
Answer:
-10
Step-by-step explanation:
If you subtract 6-(-4) it gives you -10
Hope this helps
A flag pole broke in a storm it was originally 81 feet tall 28 feet are still sticking straight out of the ground where it snapped but the remaining piece has changed over and touches the ground some distance away how far away is the end of the pool from the base of the pool along the ground
Answer:
Step-by-step explanation:first u need to buy then break it into half with ur friend then ur friend will get all and u will only get one but u will be lonely if u don’t tell ur friend to give u
A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2+40t+3. What is the meaning of the 3 in the expression?
Answer:
C.) The ball was thrown from a height of 3 feet
Step-by-step explanation:
In the standard form of a quadratic function, f(x) = ax² + bx + c,
c is the constant term (also known as the y-intercept of the parabola)
In this situation, the ball is thrown up into the air and the flight path will be in the shape of a parabola
The equation y = -16t² + 40t + 3 has a y-intercept of 3, meaning the flight path began at 3 feet above the ground, as you can imagine by looking at the graph of the equation, below. The y-intercept is at (0,3)
PLEASE HELP THIS IS SUPER URGENT
Answer:
-1
Step-by-step explanation:
x+4/4 = 9/12
If you plug in -1, then 3/4=9/12.
This is a true proportion.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
PLEASE HELP MATH!!!!!! MULTIPLE CHOICE!!
Choose 1 answer:
(Choice A)
sin(30°)
(Choice B)
cos(30°)
(Choice C)
sin(300°)
(Choice D)
cos(300°)
(Choice E)
sin(330°)
(Choice F)
cos(330°)
Answer:
B should be the correct answer
Step-by-step explanation:
don't quote me on that
The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).
What function is being graphed?
y = 4x
y = 2x + 3
y = x + 4
3x + 4
Answer:
y = x + 4
Step-by-step explanation:
I have attached the work to your problem below.
Please see the attachment.
I hope this helps.
Answer:
y = x + 4
Step-by-step explanation:
I took the lesson and got it correct
PLs help I dont understand
Answer:
Step-by-step explanation:
32.5 is 1/10 of blank
Is means =. Of means multiply. So, 32.5=1/10*X
Answer:
32.5 is [tex]\frac{1}{10}[/tex] of 325
Step-by-step explanation:
325 ÷ 10 = 32.5