Answer:
Each friend gets 1/12
Step-by-step explanation:
1/3 pounds of nuts in total
4 people
1/3 / 4
1/3 * 1/4 = 1/12
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
I need help, please. I will try to give brainliest!!!
Answer:
Step-by-step explanation:
What is the value of the expression below?
-7(-2)
Answer:
14
Step-by-step explanation:
-7*-2=14
Find the sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160
Answer:3495250
Step-by-step explanation:
~geometric sequence
common ratio: r=4
formula: Sn=a1(1-r^n)/1-r
Sn=10(1-(4)^10)/1-4
=-10485750/-3
=3495250
The sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160 would be 3495250.
What is the sum of terms of a geometric sequence?Let's suppose its initial term is a multiplication factor is r
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
The given geometric sequence is
10, 40,160
common ratio: r=4
a = 10
n=10
We know that
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
[tex]S_{10} = \dfrac{10(4^{10}-1)}{4-1}\\S_{10} = \dfrac{10\times 1048575}{3}\\S_{10} = \dfrac{10485750}{3}\\S_{10} = 3495250[/tex]
Learn more about sum of terms of geometric sequence here:
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find the slope of the line through each pair of points (19,-2) (-11,10)
Answer:
[tex]\huge\boxed{-\frac{2}{5}}[/tex]
Step-by-step explanation:
The slope of a line can be determined from two points via the slope formula. This is usually defined as the change in y divided by the change in x. It’s commonly represented using this formula:
[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex]Where [tex]\Delta[/tex] represents “change in.”
The slope is basically just saying the rate of increase/decrease a function has when x increases by 1 - how much does y change when x increases by 1? We can find this by taking larger values and dividing by the rate at which we took the larger values. This derives the slope formula.
We can find the change in y and x in this function by analyzing the two points given. If we look at the change between each point, we can get the change since this is a line and thus has a constant slope.
The change in y will be 12. This is because from -2 to 10 is 10 units - [tex]10 - (-2) = 12[/tex] The change in x will be -30. This is because from 19 to -11 is -30 units - [tex]-19 -11 = -30[/tex]Now that we have our change in x and y, we can substitute these values into the slope formula.
[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex] [tex]\displaystyle \frac{12}{-30}[/tex] [tex]\displaystyle -\frac{12}{30}[/tex] Simplify - divide numerator and denominator by 6 [tex]\displaystyle -\frac{2}{5}[/tex]Therefore, the slope of this line is [tex]-\frac{2}{5}[/tex].
Hope this helped!
Which of these describes a unique polygon?
Select the correct choice.
A
A quadrilateral with 4 right angles
B
A triangle with angles 30°, 80°, and 70°
С.
A triangle with side lengths 7 cm and 8 cm and a 70° angle
A triangle with each side length 5 inches
Answer:
The last option is unique.
Step-by-step explanation:
A triangle with each side length 5 inches - there's only one of these.
Evaluate the expression 122 – (9 – 7)3 +6.
122 – (9 - 7) + 6 = 122
+6
Answer:
Im kinda confuse but (9 - 7)3 + 6 should be 14
Step-by-step explanation:
What is remainder one as a fraction?
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.
Answer:
The area is 104
Step-by-step explanation:
Length: 5 + x
width: x
(5+x)*2=10+2x
x*2=2x
2x+10+2x=42
10+4x=42
-10 -10
4x=32
/4. /4
x=32
5+8=13
13*8=104
A drone is flying at the maximum allowed altitude of 400 ft. The angle of depression to the landing pad is 65°. What is the horizontal distance from the drone to the landing pad? Round your answer to the nearest foot. Dashed horizontal line y equals 400 is drawn. A 65 degree angle of depression from begin ordered pair 0 comma 400 end ordered pair is drawn down to the horizontal axis. Enter your answer in the box.
Answer:
187 feet
Step-by-step explanation:
Tan = opp/adj
tan65 = 400/adj
adj = 400/ tan65
adj = 186.523063261999437
Rounded
187 feet
The diameter is 24 cm. Find the
length of arc CD
Answer:
s = 4π Exact answer
s = 12.56 Decimal approximation
Step-by-step explanation:
cicrumference = πd
s = (∅/360)(πd)
s = (60/360)(π * 24)
s = 4π Exact answer
s = 4 * 3.14
s = 12.56 Decimal approximation
Your local dry cleaners is running a special. The dry cleaner is offering a 13% discount for any drop off that is over $40. Also, they are running a neighborhood special of an additional 5% off. Given this information, determine the decay factor corresponding to each percent decrease.
a.
34.8; 33.06
c.
0.87; 0.95
b.
0.384; 0.3306
d.
87; 95
Answer:
a. 34.8; 33.06
Step-by-step explanation:
The computation is shown below;
since in the question it is mentioned that that if the price is $40 so if offered the 13% discount
So the 13% discount on $40 is
= $40 - 13% of $40
= $34.80
Now additional 5% is also provided
So,
= $34.80 - 5% of $34.80
= $33.06
Therefore the first option is correct
Find the z-score for 273 given a mean of 258 and a standard deviation of 5
Answer:i think it would be 5 but 382
Step-by-step explanation:
The the z-score for given mean and standard deviation is 3.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Given that, x=273, μ=258 and σ=5
We know that, Z=(x-μ)/σ
Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample
Now, Z=(273-258)/5
Z=15/5
Z=3
Therefore, the z-score is 3.
Learn more about the standard deviation visit:
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2 tables 8 chairs. 1 5/8 quarts paint for 2 tables and 2/3 quarts paint for 8 chairs. How many total quarts paint should you bring for this furniture
Answer:
2 7/24
Step-by-step explanation:
1 5/8 + 2/3
1 15/24 + 16/24
1 31/24 = 2 7/24
If my answer is incorrect, pls correct me!
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-Chetan K
In the refrigerator there are 3 opened milk bottles. One bottle
contains 3/10 of a gallon, and a second bottle also contains
3/10 of a gallon. If altogether there is 1 3/10 gallons in the
refrigerator, how much milk is in the third bottle?
Please helpppppppppppppppppppppppppppp
Answer:
N O T H I N G
Step-by-step explanation:
L O L
Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.
What is the population under study?
A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Solve, using linear combination.
3x – y = 4
2x + y = 6
Answer:
Point form: 2.2
Equation form: x=2, y=2
Answer:
3x-y+2x+y =4+6
5x. =10
x =2
y=6-4
y=2
HELPPP!
Use the mid-point rule with n = 2 to approximate the area of the region bounded by y equals the cube root of the quantity 16 minus x cubed y = x, and x = 0.
Please explain the answer
Answer:
The approximate area of the region using the midpoint rule with n = 2 is about 2.8418 square units.
Step-by-step explanation:
We want to use the midpoint rule with n = 2 to approximate the area of the region bounded by the graphs of:
[tex]\displaystyle y=\sqrt[3]{16-x^3}, y=x\text{ and } x=0[/tex]
This is shown in the graph below. Our area of interest is between the green, red, and blue lines.
First, find the intersection point of the two graphs:
[tex]\displaystyle x=\sqrt[3]{16-x^3}\Rightarrow x=2\Rightarrow (2, 2)[/tex]
Therefore, we will want to approximate from x = 0 to x = 2.
Note that the red graph (cubic root) is greater than the linear function for all x in the interval [0, 2].
Since the cubic function is greater than the linear function for all x in [0, 2], the area of the region will be the linear function subtracted from the cubic function. Hence:
[tex]\displaystyle \text{Area}=\int_{0}^2\sqrt[3]{16-x^3}-x\, dx[/tex]
We will let:
[tex]f(x)=\sqrt[3]{16-x^3}-x[/tex]
The midpoint rule is given by:
[tex]\displaystyle \text{Area}\approx \sum_{i=1}^nf\left(\frac{x_{i-1}+x_i}{2}\right)\Delta x[/tex]
Since the area is on the interval [0, 2] and n = 2, find the width:
[tex]\displaystyle \Delta x=\frac{2-0}{2}=1[/tex]
Hence, our x-coordinates are x₀ = 0, x₁ = 1, and x₂ = 2.
Therefore, by the midpoint rule:
[tex]\displaystyle \text{Area}\approx \sum_{i=1}^2f\left(\frac{x_{i-1}+x_i}{2}\right)(1)[/tex]
Substitute:
[tex]\displaystyle \text{Area}\approx (1)\left(f\left(\frac{0+1}{2}\right)+f\left(\frac{1+2}{2}\right)\right)[/tex]
Evaluate:
[tex]\displaystyle \text{Area}\approx\displaystyle f\left(0.5\right)+f(1.5)[/tex]
Evaluate:
[tex]\displaystyle \text{Area}\approx(\sqrt[3]{16-(.5)^3}-(.5))+(\sqrt[3]{16-(1.5)^3}-(1.5))}\approx 2.8418[/tex]
Hence, the approximate area of the region is about 2.8418 square units.
Notes:
The exact area is 2.80436... square units.
Answer:
2.8147
Step-by-step explanation:
See the attached writeup!
It's a windy explanation because really short explanations are impossible. If you're using a textbook, its explanation may be shorter, but probably unclear.
Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6
Answer:
possiblity of getting any number is 1/6
Step-by-step explanation:
20 years from now I will be 4 times as old as my present age what is my present age ?
Step-by-step explanation:
your present age = 20/4 =5
Answer:
Your present is age 5
your present age = 20/4 = 5
Find the length of the third side . If necessary, round nearest tenth 24. 18
Who can explain me ?
Answer:30 on delta math!
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
A book is 14 centimeters wide. Convert this width to inches.
The width of the book is __.
(Round to two decimal places as needed.)
Answer:5.5
Step-by-step explanation:
The key is to divide by 2.54. It was not terminating so I rounded.
A square pyramid has a base that measures 8 inches on each side.The height of the pyramid is 15.5 inches. Determine the volume of the pyramid.
Answer:
Step-by-step explanation:
Volume = 1/3 * B * h
B = 8 * 8 = 64
h = 15.5
Volume = 1/3 * 64 * 15.5
Volume = 2976 cu in
help please?
it’s overdue
Answer:
The surface area is 76 square yards.
Step-by-step explanation:
A = 2(wl + hl + hw)
2 · (2 · 4 + 5 · 4 + 5 · 2)
76
given: <1 congruent to <2
prove: AB is congruent to CB
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
Three times a number is 42. What is the number? 12 14 16 39
Answer:
14
Step-by-step explanation:
If you do 42/3 you get 14. Which to check your answer you can do 14 x 3 and you would get 42. Hope this helps.
The answer is 14.
I am answering dis for you to give da other person brainliest!
The area of a circle equals to 5cm^2 Find the radius of the circle.
[tex]Area = pi * r^{2} \\5 = 3.142 * r^{2} \\r^{2} = 5 / 3.142\\r^{2} = 1.59\\r = \sqrt{1.59} \\r = 1.26cm[/tex]
Solve for x. Round to the nearest tenth of a degreee, if necessary
Using Trig to find angles
Answer:
63
Step-by-step explanation:
Tan 0= opposite÷ adjacent
Tan 0= 6.7 ÷ 3.4
Tan 0 = 1.97
V= 63.09
V = 63