The next term of the given sequence using first and second differences is; 104
How to find the terms of a Sequence?We are given the sequence as;
8, 11, 19, 35, 62,.....
Thus, using the first and second differences, we have the sequence pattern as;
8 11 19 35 62 104
3 8 16 27 42
5 8 11 15
3 3 4
From the above pattern, we can see that the next term of the sequence is 104
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if (2x+5,7)=(7,y), find the value of x and y
[tex]\text{Given that,}~ (2x+5, 7)=(7,y)\\\\\text{So,}~ y = 7 ~ \text{and}~2x +5 = 7\\\\~~~~~~~~2x+ 5=7 \\\\\implies 2x = 7- 5 \\\\\implies 2x = 2\\\\\implies x = \dfrac 22 \\\\\implies x = 1\\\\\text{Hence,}~~ x = 1 ~ \text{and}~ y = 7[/tex]
There are 4 green apples and 6 red apples in a bag. If you pick one apple without looking, the probability that the apple is green is and the probability that it is red is .
Answer:
you wold more likly get a red than a green
Step-by-step explanation:
Would the value of (12 - 4) = 4+1 change if the parentheses were removed? Explain.
Answer:
It would not
Step-by-step explanation:
(12-4)=4+1 would be 8=5
12-4=4+1 would also be 8=5
the length, breadth and height of a cuboid are in the ratio 5:4:2 if the volume of cuboid is 5000 cm,then what will be the surface of the area of the cuboid
Answer:
1900 cm²
Step-by-step explanation:
We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.
__
dimensionsLet k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...
V = LWH
5000 cm³ = (5k)(4k)(2k) = 40k³
k³ = (5000 cm³)/40 = 125 cm³
k = ∛(125 cm³) = 5 cm
The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.
__
areaThe surface area of the cuboid can be computed from ...
A = 2(LW +H(L +W))
A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))
A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²
The surface area of the cuboid is 1900 cm².
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero slope, or an undefined slope. (6,2) and (1,2)
Answer:
line will be horizontal running through (0,2)
Step-by-step explanation:
6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.
Add this fractions. (It should be mixed number)
−5/6 + (−2 5/8)
Answer:
the awnser is -3 11/24
Step-by-step explanation:
Don't know
-2 5/7
Yan po answer ko inadd ko po by fraction
Bear weight loss during hibernation is extreme. Male black bears will typically drop between 17 to 29 percent of their body weight. Let x represent the percent of body weight loss for a male black bear. Suppose that clic follows a uniform distribution. Find the probability that the male will lose between 19.41 and 23.74 percent of their body weight.
Using the uniform distribution, it is found that there is a 0.3608 = 36.08% probability that the male will lose between 19.41 and 23.74 percent of their body weight.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
In this problem, male black bears will typically drop between 17 to 29 percent of their body weight, hence the bounds are a = 17 and b = 29.
The probability that the male will lose between 19.41 and 23.74 percent of their body weight is given by:
[tex]P(19.41 \leq X \leq 23.74) = \frac{23.74 - 19.41}{29 - 17} = 0.3608[/tex]
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The vertical number line in a Cartesian coordinate system is called a what?
Answer:
the X axis line which bisects the y axis with an angle of 90 degrees
There are 30
in a
Passengers
bus. 2/3 of them are men then
the percentage of women
is ?
Answer:
33.33....
Step-by-step explanation:
If 2/3 of them are men, then 1/3 are women. I/3=0.333....
To find the percent you multiply by 100 and get 33.3333 and you can write then however your system requests a repeating decimal.
For the equations given below, which statement is true?
-3x-8+19
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
D. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
-3x - 8 = 19 ...1
-3x - 2 = 25 ...2
Adding 6 on both sides in equation 1, then we have
-3x + 6 - 8 = 19 + 6
-3x - 2 = 25
The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same.
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Can anyone PLEASE HELP ME ASAP!!!???
Answer:
the independent variable is s
the dependent one is m
hope this helps <3
A sum of $1200 is invested at an interest rate of 4.25% per
year.Find the amounts in the account after 3 years if interest
is compounded annually,
Answer:
$153
Step-by-step explanation:
4.25 times 3 = 12.75 so its 12.75 percentage of 1200. Which is $153.
THERE ARE 25 CUB SCOUTS IN pACK 584 THE NUMBER OF SCOUTS IS 5 MORE THAN 5 TIMES THE NUMBER OF ADULT LEADERS FIND THE NUMBER OF ADULT LEADERS
The number of the adult leaders will be 4
What will be the number of adult leaders?A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"
Number of scouts = 5(Number of adults) + 5
Here number of scouts = 25
Therefore, the equation will become as
25 = 5(Number of adults) + 5
5(Number of adults) = 25 - 5
5(Number of adults) = 20
(Number of adults) = 20/5=4
Hence the number of the adult leaders will be 4
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Convert 85° to degrees Fahrenheit.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
answer :
[tex]C=\frac{265}{9}[/tex]
work:
[tex]F=85[/tex] °[tex]C[/tex]
[tex]F= 85[/tex] into [tex]C=\frac{5}{9}(F-32)[/tex]
[tex]C=\frac{5}{9}[/tex] x [tex](85-32)[/tex]
[tex]C=\frac{265}{9}[/tex]
Three quarters of the sum of two numbers is 6 and half the difference of the two numbers is 1
Answer:
1 number= 4.5
2 number= 3.5
Step-by-step explanation:
three eighths plus four eighths equals
Answer:
7/8 (seven eighths)
Step-by-step explanation:
add the numerators (top numbers) together, to get 7. Leave the denominator (bottom number) alone, since they are the same. Think about it like you're adding two different parts of a whole.
you should get 7/8
hope this helps
solve for h
A=7h
thank you
Answer:
The equation of the circle with the origin as centre and passing through the point A(-2;4)
This figure represents a small paperweight that is to be covered on all sides with a plaid fabric.
How much fabric is needed to cover the paperweight?
Enter your answer as a decimal in the box.
cm²
HELP ASAP 50 POINTS!!!!
Find total surface area
L=4.5cmB=5cmH=3.5cmNow
TSA
2(LB+BH+LH)2(4.5×5+3.5×5+3.5×4.5)2(55.75)111.5cm²Answer:
111.5 cm²
Step-by-step explanation:
Fabric needed to cover paperweight = Surface Area
Surface Area
2(LH + BH + LB)2(5 x 3.5 + 4.5 x 3.5 + 5 x 4.5)2(17.5 + 15.75 + 22.5)2(55.75)111.5 cm²Find cot B if csc ß= 3/5/5 and secß -3/2
Answer:
A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]
Step-by-step explanation:
Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]
This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]
help me pleaseeeeeeeeeeeeeeeeeeeeeeee
what is the slope of the line that passes through the point (9,4) and (3,9)?
Step-by-step explanation:
m is for slope of the line that passes through
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{9 - 4}{3 - 9} [/tex]
[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]
What is the length of the two equal sides?
What is the length of the third side?
Answer:
the length of the third side is 21
Step-by-step explanation:
let P be the perimeter of the triangle
a the length of the first and second sides
b the length of the 3rd side
…………………………………………………
Then
P = a + a + b
= 2a + b
Where b = a + 6
Therefore
P = 2a + (a + 6)
= 3a + 6
We substitute the numbers we have into the equation:
51 = 3a + 6
⇔ 45 = 3a
⇔ a = 15
Since b = a + 6 then b = 15 + 6 = 21
Find the critical value tα/2 that corresponds to a 90% confidence level and a sample size of 7.
a) 1.943
b) 1.645
c) 3.707
d) 1.895
A
Step-by-step explanation:
hope it helps
help will mark Brainliest!!
Answer:
Subtract 4 from 17, then divide by 3.
Step-by-step explanation:
hope this helps =)
Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y
[tex]\sf \large \boxed{110 ^\circ}[/tex]
The Image given shows (vertically opposite angles) :1st equation: x + 2y = 502nd equation: x - 2y = 130Make x the subject in first equation:x + 2y = 50x = 50 - 2yInsert this in second equation:(50 - 2y) - 2y = 13050 - 2y - 2y = 130-4y = 130 - 50-4y = 80y = -20Find the value of x:x = 50 - 2yx = 50 - 2(-20)x = 90Difference between them:x - (y)90 - (-20)110in its Simpliest form, The Ratio of 825g to 1kg
Answer:
Step-by-step explanation:
1g = 0.001 kg.
82.5g = 0.001 x 82.5 kg
= 0.0825 kg
= 825/1000 kg
pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=
Answer:
[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^3+3[/tex]
[tex]g(x)=2x^2+x-1[/tex]
Therefore:
[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]
a line passes through the point (-4,8) and a slope of 5/4. write an equation in slope-intercept form for this line.
Answer:
8=5/4*-4+(b)
b=3
hence
y=(5/4)x+3
PLEASE HELP ALL GRADES IN TONIGHT OR ZERO! WILL GOVE BRANLIEST Statistical Measures
Use the following data to determine each statistical measure.
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
5. mean
6. median
8. mode
9. interquartile range (IQR)
Data Representations
Make each data display using the data from Problems 5-7.
11. Box plot
12. Dot plot
7. range
10. mean absolute deviation (MAD)
Answer:
5. Mean = 11.5
6. Median = 11
7. Range = 12
8. Mode = 9 and 11
9. Interquartile Range (IQR) = 5
10. Mean Absolute Deviation (MAD) = 2.8
11. Just Replace the Values just like the example image.
12. Just draw the min = 7 and max = 19 dot plot.
Step-by-step explanation:
Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5
Mean = 11.5
Median: 7,8,9,9,11,11,12,14,15,19
Median in the center = 11
Range: Big Number - Small Number
Range = 19 - 7 = 12
Range = 12
Mode = 9 and 11
Interquartile Range (IQR): Q3 - Q1
Q3 = 14 , Q1 = 9
IQR = 14 - 9 = 5
IQR = 5
Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10
MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8
MAD = 2.8
Please see question. Thanks
Answer:
Hello the answer would be A units up because my caluaitons Sense that it is A