Number 4, Use the net to complete the sentences. The square pyramids base that is_____ units on each side. The height of each triangular face is ______ units.
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Related Questions
Find the number of rectangles an and Squares in chess 8 by 8 board respectively.
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Answer:
squares: 204
rectangle: 1,296
Step-by-step explanation:
Board Size: 8 x 8
The total number of squares is thus:
[tex]1^{2} + 2^{2} + ... + n^{2}[/tex]
sum = [tex]\frac{n(n + 1)(2n + 1)}{6}[/tex]
For a chess board, with n = 8,
sum = [tex]\frac{(8)((8) + 1)(2(8) + 1)}{6}[/tex]
sum = 204
the number of rectangles on a chess board,
to make a rectangle you need to pick any two of the vertical lines, and any two of the horizontal lines. There are 36 distinct pairs and the same number of vertical pairs, so the answer is 36 × 36 = 1,296.
Which expression is equivalent to [tex]8/x^6[/tex]? Assume x> 0
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An equivalent expression is given by (2 / x ^ 3) * sqrt (2)
We have the following expression
8 / x ^ 6
Rewriting we have
sqrt (8 / x ^ 6)
What is the expression?
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.
sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
(2 / (x * x * x)) sqrt (2)
(2 / x ^ 3) * sqrt (2)
An equivalent expression is given by
(2 / x ^ 3) * sqrt (2)
Therefore an equivalent expression is given by (2 / x ^ 3) * sqrt (2).
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Will Give 50 POINTS If CORRECT
Arrange the steps in order that would be used to algebraically solve a system of linear and quadratic equations.
1) Solve each equation for y.
2) Solve for x.
3) Set the 2 equations equal.
4) Insert x back into an equation to find the y value.
Answers
Answer:
3, 2, 4, 1
Step-by-step explanation:
N(t) = 100,000e−(t − 10)2/8
The secant line can be used to approximate the derivative at a particular point on the graph by placing either the right or the left side of the secant line on that point. (Round your answer to the nearest integer.)
(a) Consider the point on the graph at t = 10 days and set one end of the secant line at this point. Set the other end of the secant line at the point that is 1 day earlier. What is the approximation of the slope of the graph at t = 10 days using this secant line?
(b) Consider again the point on the graph at t = 10 days. Set one end of the secant line at t = 10 days and the other end at the point that is 1 day later. What is the approximation of the slope of the graph at t = 10 days using this secant line?
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The approximation of the slope of the graph at t = 10 days using this secant lines are 11750 and -11750, respectively.
How to determine the slope of the secant lines?(a) t = 10 days and a day earlier
This means that:
t = 10 and t = 9
The function is given as:
[tex]N(t) = 100000e^{\frac{-(t - 10)^2}{8}}[/tex]
Calculate N(10)
[tex]N(10) = 100000e^{\frac{-(10 - 10)^2}{8}}[/tex]
Evaluate
N(10) = 100000
Next, calculate N(9)
[tex]N(9) = 100000e^{\frac{-(9 - 10)^2}{8}}[/tex]
Evaluate
N(9) = 88249.6902585
The slope is then calculated using"
[tex]m = \frac{N(10) - N(9)}{10 - 9}[/tex]
This gives
[tex]m = \frac{100000 - 88249.6902585}{10 - 9}[/tex]
Evaluate
m = 11750.3097415
Approximate
m = 11750
(b) t = 10 days and a day later
This means that:
t = 10 and t = 100
The function is given as:
[tex]N(t) = 100000e^{\frac{-(t - 10)^2}{8}}[/tex]
In (a), we have:
N(10) = 100000
Next, calculate N(11)
[tex]N(9) = 100000e^{\frac{-(11 - 10)^2}{8}}[/tex]
Evaluate
N(11) = 88249.6902585
The slope is then calculated using:
[tex]m = \frac{N(11) - N(10)}{11 - 10}[/tex]
This gives
[tex]m = \frac{88249.6902585 - 100000}{11 - 10}[/tex]
Evaluate
m = -11750.3097415
Approximate
m = -11750
Hence, the approximation of the slope of the graph at t = 10 days using this secant lines are 11750 and -11750, respectively.
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5. Sabrina put $3,000 into a Money Market (high-yield savings)
account with an interest rate of 2.6% compounded quarterly.
a. Write an equation to model the amount in the account over
time.
b. Assuming no deposits or withdrawals are made, how much
money would be in the account after 15 years? Show your
calculation.
c. How would this problem be different if it was compounded
"continuously" instead? Calculate the amount after 15 years.
d. Name 2 or more other situations (other than a savings
account) where you might encounter compound interest later in
your life.
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let me answer the last one first
compound interest is just an exponential sequence really, where the next value is some exponential amount of the previous.
hmmm that can happen in say, a bouncing ball, the 1st bounce is high, let it keep on boucing by itself and the next bounce is usually a compounded value of the previous one, since it's smaller it'd be a Decay type of equation.
hmmm it also happens in say population growth, of any organism, humans, bees, amoebas.
now let's do the others
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=3000\left(1+\frac{0.026}{4}\right)^{4\cdot t}\implies \boxed{A=3000(1.0065)^t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 15 years}}{t=15}\hspace{5em} A=3000(1.0065)^{15}\implies A\approx 3306.19 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3000e^{0.026\cdot 15}\implies A=3000e^{0.39}\implies A\approx 4430.94[/tex]
Find the value of x. Round to the nearest tenth. X A B 68° 13 x = [?] X Law of Sines; sin A 83° C
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Step-by-step explanation:
hope you have a great day
The value of x will be;
⇒ x = 13.9
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now,
Since, We know that;
The sine rule is;
⇒ sin A / a = sin B / b = sin C / c
By given figure, we get;
⇒ sin 83° / x = sin 68° / 13
⇒ sin 83° × 13 / sin 68° = x
⇒ x = 0.99 × 13 / 0.92
⇒ x = 13.9
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Photo is attached!!!!!! Pleaseeee help!!!
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Answer:
1.) ∞
2.) -∞
3.) 0
4.) 0
Step-by-step explanation:
As you approach x = -2 from the left, the "y" values are going to infinity. You never actually get a "y" value that equals x = -2 because of the vertical asymptote.
As you approach x = -2 from the right, the "y" values are going to -infinity. You never actually get a "y" value because there is a vertical asymptote.
As you approach x = 2, both sides converge to y = 0. At this point, there is a smooth, uninterrupted line.
The actual "y" value at x = 2 is 0 because the function goes straight through this point. So, you can just read this point as usual.
A rectangular prism has length of 5 feet and a width of 9 feet. If the surface area of the prism is 174 square feet,
what is its height?
5ft
4ft
6 ft
3 ft
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kung 5ft and a width of 9ft and the area of prism is 174 the answer is 5ft
Could someone explain and show how to solve these
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The answers to the given question are as follows:-
1. Cos(∠mA) = [tex]\dfrac{3}{5}[/tex]
2. Sin(∠mA) = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]
3. Tan(∠mB) = [tex]\dfrac{b}{a}[/tex]
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
The angles will be calculated by using trigonometric identities.
1. For the first triangle:-
Cos∠mA = [tex]\rm \dfrac{Base}{Hypotenuse}[/tex]
We can see in the first triangle base is 3 and the hypotenuse is 5.
Cos∠mA = [tex]\dfrac{3}{5}[/tex]
2. For the second triangle:-
Sin∠mA = [tex]\rm \dfrac{Perpendicualr }{Hypotenuse}[/tex]
We can see in the first triangle Perpendicular is √20 and the hypotenuse is √35.
Sin∠mA = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]
3. For the third triangle:-
Tan∠mB = [tex]\rm \dfrac{Perpendicualr }{Base}[/tex]
We can see in the first triangle Perpendicular is b and the Base is a.
Tan∠mA = [tex]\dfrac{b}{a}[/tex]
Therefore answers to the given question are as follows:-1. Cos(∠mA) = [tex]\dfrac{3}{5}[/tex]2. Sin(∠mA) = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex] and 3. Tan(∠mB) = [tex]\dfrac{b}{a}[/tex]
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There are a rack of 14 billiard balls. Balls numbered 1 through 8 are solid-colored. Balls numbered 9 through 14 contain stripes. If one ball is selected at random, determine the odds against it being striped.
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Answer:
3/7 / 42.8% chance
Step-by-step explanation:
There are 6 striped balls (9, 10, 11, 12, 13, 14) and 8 (1, 2, 3, 4, 5, 6, 7, 8) solid colored balls. So, 6 / 14 balls are striped.
(6 / 14 = 3 / 7)
this means that the probability of a ball being striped has the odds of 3/7
(3/7 = about 42.8% chance)
What is the area of the figure below
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Answer:
Total Area = 68
Step-by-step explanation:
Comment
There is 1 square at each end.
There are 2 congruent trapezoids in the middle
Draw a 7 inch line across the widest part of the middle
Area of the squares
Area = s^2
s = 3
Area = 3^2
Area = 9
But there are 2 of them 18
Area of the 2 trapezoids
Area = (b1 + b2)*h / 2
b1 = 3
b2 = 7 Notice that 7 was the line you drew
h = 5
Area = (3 + 7)*5/2
Area = 50 / 2
Area = 25
But there are 2 of them 50
Total Area 68
Juniper measured his bed twice: once in meters and once in
millimeters. Which is true?
A) The number of meters will be greater.
B) The number of millimeters will be greater.
C) They will both be the same.
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Answer:
B
Step-by-step explanation:
millimeter means one-thousandth of a meter meaning the number of millimeters will be larger by a factor of 1000.
Answer:
B
Step-by-step explanation:
Millimetres is A LOT smaller than meters, meaning the individual number of millimetres is larger than the individual number of meters.
the perimeter of a rectangle is 30cm while it breadth is 5cm find the length of the rectangle
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Answer:
10 cm
Step-by-step explanation:
See attached image
Answer:
length = 10 cm
Step-by-step explanation:
Fyi, breadth is a synonym to width.
Since P=30, we must find the length.
l = length
w = width
P=w+w+l+l
30 = 5+5+l+l
30 = 10+2l
-2l = -20
l = 10
Hence, the length is 10 cm.
Is this right if not please tell me explanation
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Answer:
No, right answer is = 1017.36
Answer:
1017.36
Step-by-step explanation:
All your work is correct, but the final answer is not. In the problem it says to use 3.14 as pi, but when you multiplied you did:
[tex]\pi * 6^{2}*9 = 1017.88[/tex]
instead of
[tex]3.14*6^{2}*9 = 1017.36[/tex]
like you had written above. So the final is actually supposed to be 1017.36
I need help with question 20
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An altitude connects the vertex of a triangle with the opposite side creating a right angle
Question 5 of 5
Drag each tile to the correct box. Not all tiles will be used. Consider the recursively defined function below. f(1) = 0.75 f(n) = f(n-1) + 0.35, for n = 2, 3, 4, ...
Create the first five terms of the sequence defined by the given function.
1.8
0.75
2.15
1.0
1.35
1.7
1.1
1.45
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Based on the calculations, the sequence defined by the given function are 0.75, 1.1, 1.45, 1.80 and 2.15.
How to create the terms of the sequence?In this exercise, you're required to create the first five (5) terms of the sequence defined by the given function as follows:
For the first term, we have:
f(1) = 0.75
For the second term, we have:
f(2) = f(2-1) + 0.35
f(2) = 0.75 + 0.35
f(2) = 1.1.
For the third term, we have:
f(3) = f(3-1) + 0.35
f(3) = 1.1 + 0.35
f(3) = 1.45.
For the fourth term, we have:
f(4) = f(3-1) + 0.35
f(4) = 1.45 + 0.35
f(4) = 1.80.
For the fifth term, we have:
f(5) = f(3-1) + 0.35
f(5) = 1.80 + 0.35
f(5) = 2.15.
Therefore, the sequence defined by the given function are 0.75, 1.1, 1.45, 1.80 and 2.15.
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what function is increasing at the highest rate
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Question 3 of 10
Select the expression that is equivalent to (x-3)².
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=> x^2 -3x -3x +9
=> x^2 -6x +9
Please help on this two questions!!
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2.) This is letter D. Tyler did not make a mistake.
5. In how many ways can four boys and three girls be seated in a row con taining seven seats ( a ) if they may sit anywhere , ( b ) if the boys and girls must alternate ?
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Brenda earns $18,200 per year. What’s her semi monthly salary.
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What are the zeros of the function f(x) = x4 − 4x2 − 5?
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Answer:
A graph shows zeros to be ±3. Factoring those out leaves the quadratic
(x-2)² +1
which has complex roots 2±i.
The function has roots -3, 3, 2-i, 2+i.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
The function is :
f(x) = x⁴ - 4x² - 5
=============================================================
Plotting on a graph :
⇒ Once plotted on graph, check where the line of the function intersects the x-axis
⇒ Those will be the zeros of the function
===========================================================
Solution :
⇒ x = -2.236
⇒ x = 2.236
What is the explicit formula for this geometric sequence?
64, 16, 4, 1,
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Answer: [tex]a_{n}=64\left(\frac{1}{4} \right)^{n-1}[/tex]
Step-by-step explanation:
The common ratio is 16/64 = 1/4, so substituting into the formula, we get that [tex]a_{n}=64\left(\frac{1}{4} \right)^{n-1}[/tex]
What is the range of this data set?
{5, 12, 15, 11, 15, 7, 15, 10, 13}
options:
8
10
12
15
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Answer: 10 is the range, option B/ option G
Step-by-step explanation: range is the most subtracted by the least, so organize the data set which makes it (5, 7, 10, 11, 12, 13, 15, 15, 15)
15 - 5 is 10.
Which expression would be easier to simplify if you used the associative
property to change the grouping?
Answers
Answer:
B
Step-by-step explanation:
On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (1.5, 0).
Determine the domain and range of the given function.
The domain is
all real numbers
.
The range is
.
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Domain F(x) = All real numbers and the Range F(x) [ -2 , + ∞ ]
What is the domain and range of a function?A domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
The curve points are
P₁ ( -1,5 , 0 ) Q ( 0. -2 ) and P₂ ( 1,5 , 0 )
We can see that P₁ and P₂ are symmetric around the y-axis, and point Q looks like a vertex so we can conclude the curve as
ax² + bx + c = y
The curve is a parabola
when x = 0
y = -2
then c = - 2
The equations we get,
a (-1.5)² + b (-1.5) + c = 0
2.25a - 1.5b - 2 = 0
a (1.5)² + b ( 1.5) + c = 0
2.25a + 1.5b -2 = 0
Adding these two equations
4.5a - 4 = 0
a = 4/4.5
The vertex is Q ( 0 , -2 )
x = - b/2a
0 = - b/ 9
b = 0
Therefore the equation of the function :
ax² + c = 0
(4/4.5) x² - 2 = 0
Therefore, Domain F(x) = All real numbers and the Range F(x) [ -2 , + ∞ ]
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Answer:
In a shorter explanation of what the guy above me is saying
The domain is all real numbers or A
The range is "all real numbers greater than or equal to –2" or B
Step-by-step explanation:
Seeley takes home $4800 per month. What is the maximum amount he can
spend each month on loan and credit card payments without being in danger
of credit overload?
OA. $1600
OB. $1200
OC. $960
OD. $480
Answers
Answer:
1200
Step-by-step explanation:
I'm not 100% sure but that seems like the most reasonable answer
Bobby is having a summer barbecue. He is inviting 7 of his friends. He wants to have enough food for everyone to have two hot dogs. How many hot dogs will bobby need to cook for himself and his friends?
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Answer:
16
Step-by-step explanation:
7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs
Answer:
16 hot dogs
Step-by-step explanation:
since he has 7 friends + himself, we're going to have a total of 8 persons
and since it's expected for each person to have two hot dogs,
total hotdogs Bobby need to cook= 8×2= 16 hot dogs
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
(answer)_cm²
pls answer A.S.A.P
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372.0796686
Simplify is needed
help I will gave u brilliant answer please help
Answers
Answer:
a) 15/8 b) 25/18
Step-by-step explanation:
a) First bring all the fractions to a common denominator (I'm going to use 8th's). 5/8 is already simplified, 1/2=4/8, and 3/4=6/8. Then, simply add the numerators and leave the denominator: [tex]\frac{5+4+6}{8} =\frac{15}{8}[/tex]
Since this can not be simplified any further, your final answer is 15/8.
b) Start by bringing all the fractions to a common denominator (for this problem, we'll use 18th's). 2/3=12/18, 1/6=3/18, and 5/9=10/18. Then just add all the numerators and leave the denominator the same: [tex]\frac{12+3+10}{18} = \frac{25}{18}[/tex]
Since this cannot be simplified further either, your final answer is 25/18.
Hope this helps! :)
Answer:
so to add we need to find lcm
Step-by-step explanation:
a) 5/8 + 1/2+3/4 lcm of 2,4 and 8 = 8
5/8 = 5/8
1x4
2x4 = = 4/8
3x2
4x2 = 6/8
5/8 + 4/8 + 6/8 = 15/8
b) 2/3 + 1/6 + 5/9 lcm of 3 , 6 and 9 = 18
2x6
3x6 = 12/18
1x3
6x3 = 3/18
5x2
9x2 = 10/18
12/18 + 3/18 + 10/18 = 25/18