Answers
There are 16 cubes in each layer.
What are cube?A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross.
Given that, a cube,
Since, we know that, all sides of a cube are equal and the cross-section of the cube is a square,
Therefore, counting the cubes of the front face,
4 cubes vertical and 4 cubes horizontal,
Therefore, total cube in front face = 4×4 = 16
Therefore, cubes in each layer is 16.
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Related Questions
HELP PLEASE! MARKING BRAINLIEST
WHT IS THE CIRCUMFERENCE OF THE CIRCLE SHOWN IN THE PICTURE? (Also show the process or tell me what the radius or diameter of the circle is)
Answers
Answer:
109.9 cm
Step-by-step explanation:
Circumference = (pi)(diameter)
They tell you diameter = 35
c = (3.14)(35)
c = 109.9 cm
Please lmk if you have questions.
Answer:
circumference : 109.96 cm
Step-by-step explanation:
The radius of a circle is half its diameter. The radius of a circle with a diameter of 35cm is 17.5cm.
The circumference of a circle is found by 2πr . So that would be 2π 17.5
which would be equal to 109.96cm (2 sig. fig.).
The area of a circle is found by πr2 . So that's π⋅17.5 which is equal to 962.11cm (2 sig.fig.).
y=x+8
x+y=2
Solving Systems by Substitution
Answers
Answer:
{-3, 5}.
Step-by-step explanation:
y = x + 8
x + y = 2
Substitute y = x + 8 in the second equation:
x + x + 8 = 2
2x + 8 = 2
2x = -6
x = -3
Now plug this into the first equation
y = -3 + 8 = 5.
HELP PLEASE AND ASAP!!!!! look at the screen shot (10 pts)
Answers
Answer: 1/4
Step-by-step explanation:
3/12 simplified so divide the numerator and denominator by 3, you get 1/4
3/12 = 0.25 or 1/4
Determine whether each quadrilateral is a parallelogram. Write yes or no. If yes, give a reason for your answer.
Answers
Answer:
yes
Step-by-step explanation:
All of the opposite sides are parallel to each other.
Which of the following systems of inequalities has point D as a solution?
Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D.
A. f(x) ≤ 3x + 4
g of x is less than or equal to negative one half times x minus 5
B. f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
C. f(x) ≤ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
D. f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
Answers
The point labeled D is to the right of the intersection of the two linear functions. This means that its x-coordinate is greater than the x-coordinate of the point of intersection.
We can find the point of intersection by setting the two functions equal to each other:
3x + 4 = (-1/2)x - 5
Solving for x, we get:
(7/2)x = -9
x = -18/7
So the point of intersection is (-18/7, -29/7).
Since the x-coordinate of point D is greater than -18/7, we can eliminate options A and C.
Now we need to check whether option B or option D includes point D as a solution. To do this, we can simply plug in the coordinates of D into the two inequalities and see which one holds true.
Option B:
f(x) ≥ 3x + 4
2 ≥ 3(D) + 4
2 ≥ 3D + 4
-2 ≥ 3D
D ≤ -2/3
g(x) ≤ (-1/2)x - 5
2 ≤ (-1/2)(D) - 5
7 ≤ -D
D ≥ -7
Since -2/3 is less than -7, option B does not include point D as a solution.
Option D:
f(x) ≥ 3x + 4
2 ≥ 3(D) + 42 ≥ 3D + 4
-2 ≥ 3D
D ≤ -2/3
g(x) ≥ (-1/2)x - 5
2 ≥ (-1/2)(D) - 5
7 ≥ -D
D ≤ -7
Since -2/3 is less than -7, option D does not include point D as a solution either.
Therefore, neither option B nor option D includes point D as a solution. The correct answer is that neither system of inequalities has point D as a solution.
Given y varies directly as x, find the constant of variation k.
Answers
Answer:
y=k×x
so k =-1/2
ie: -1=-1/2(2)
-1=-1
hope this helps hshshsjjss
1. El ayuntamiento de un pueblo quiere asfaltar
una plaza circular que tiene en el centro una
fuente, también circular, para celebrar allí con-
ciertos de música a lo largo del año. Si la fuente
tiene un diámetro de 4 m y la plaza, uno de 16
m, ¿cual será el área de la región por asfaltar?
Answers
PLEASE HURRY 12 POINTS PLEASE HELPPPPPP
Answers
Step-by-step explanation:
to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2
Suppose you expect to receive the following cashflows: $14,000 today followed by $6,000 each year for the next 11 years (so the last cash flow is at year 11). How much is this cashflow stream worth to you today if the appropriate discount rate is 7.1%? Round to the nearest dollar.
Answers
The cash flow stream consisting of $14,000 today followed by $6,000 each year for the next 11 years, discounted at a rate of 7.1%, is worth approximately $52,743 to you today.
To determine the present value of the cash flow stream, we need to discount each cash flow back to the present using the appropriate discount rate.
The present value (PV) of each cashflow can be calculated using the formula:
[tex]PV = CF / (1 + r)^n[/tex]
where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of periods.
Calculating the present value of each cash flow and summing them up, we get:
[tex]PV = \$14,000 + \$6,000 / (1 + 7.1\% / 100)^1 + \$6,000 / (1 + 7.1\% / 100)^2 + ... + \$6,000 / (1 + 7.1\% / 100)^11[/tex]
Evaluating the expression, we find that the present value of the cash flow stream is approximately $52,743 when rounded to the nearest dollar.
This means that if you discount the future cash flows at a rate of 7.1%, the combined value of all the cashflows today would be approximately $52,743.
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Got It? Do this problem to find out.
y
K
b. The plans for a teeter-totter
are shown at the right. Using
points G and L, find the slope
of the teeter-totter. Then verify
that the slope is the same at
a different location by choosing
a different set of points.
Н.
G
O
х
AN
Check
2
Answers
Answer:
2/3
Step-by-step explanation:
rise over run
up and over
PLEASE HELP ASAP ILL AWARD BRAINIEST
Answers
Answer:
Сен қазақ сыңба?
Step-by-step explanation:
қазашшаайтшыааа
$5,000 is deposited in an account that receives 6.1 percent interest compounded continuously. How much money is in the account after six years?
Answers
$30500 ..............................................................................................................................
What is the answer to the question
Answers
HELP!!!!! Question in picture!!!!
Answers
Answer:
x = 29
Step-by-step explanation:
We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:
6x + 6 = 180°
Subtract 6 from both sides:
6x = 174°
Divide by 6:
x = 29
Someone help me please! With 3 and 4
Answers
So h=1
This answer is the only mistake in the equation
Consider the following recurrence: an= 8 n = 1 {2an-1 +8 n>1 it a. Give a closed-form expression for the recurrence. b. Prove, using proof by induction, that your answer from part a is equivalent to the recurrence an?
Answers
a.The closed-form expression for the given recurrence is: an = 8 * [tex]2^{(n-1)} + 6.[/tex]
b.In the proof by induction, we showed that the closed-form expression for the recurrence, an = 8 * [tex]2^{(n-1)}[/tex] + 6, holds true for both the base case and the inductive step. Thus, confirming its equivalence to the given recurrence.
a.What is the closed-form expression for the given recurrence?The closed-form expression for the given recurrence, an = [tex]2^n[/tex] * 8 - [tex]2^1[/tex] + 6, represents a direct formula to calculate the value of each term in the sequence. It involves exponentiation and arithmetic operations to determine the value based on the position (n) in the sequence.
b.How can we prove the equivalence between the closed-form expression and the recurrence using induction?In the proof by induction, we will first establish the base case, which is n = 1. From the recurrence, we have a1 = 8 * [tex]2^{(1-1)}[/tex] + 6 = 8. Substituting n = 1 into the closed-form expression, we also get a1 = 8 * [tex]2^{(1-1)}[/tex] + 6 = 8. The base case holds.
Next, we assume that the closed-form expression is true for an arbitrary positive integer k, i.e., ak = 8 * [tex]2^{(k-1)}[/tex] + 6.
Now, we will prove that it holds for k + 1, i.e., ak+1 = 8 * [tex]2^k[/tex] + 6.
Using the recurrence, we have ak+1 = 2 * ak-1 + 8 = 2 * (8 * [tex]2^{(k-1)}[/tex] + 6) + 8 = 16 * [tex]2^{(k-1)}[/tex] + 12 + 8 = 8 * [tex]2^k[/tex] + 6.
By comparing this with the closed-form expression, we see that ak+1 = 8 * [tex]2^k[/tex] + 6.
Therefore, the closed-form expression holds for k + 1.
By the principle of mathematical induction, we have proven that the closed-form expression, an = 8 * [tex]2^{(n-1)}[/tex] + 6, is equivalent to the given recurrence.
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The solution to the recurrence relation T(n) = T(n-1) + 2, with T(1) = 0, is T(n) = 2k.
To solve the given recurrence relation T(n) = T(n-1) + 2, for n > 0, with the initial condition T(1) = 0, we can use backward substitution.
1. Start with the base case T(1) = 0.
2. Substitute T(n-1) with T(n-2) + 2 in the original recurrence relation:
T(n) = T(n-1) + 2
= (T(n-2) + 2) + 2
= T(n-2) + 4
3. Repeat the substitution process until we reach the base case:
T(n) = T(n-1) + 2
= (T(n-2) + 2) + 2
= ((T(n-3) + 2) + 2) + 2
= T(n-3) + 6
4. Continue this process until n - k = 1, where k is a positive integer.
5. Finally, substitute n - k with 1:
T(n) = T(n-1) + 2
= (T(n-2) + 2) + 2
= ((T(n-3) + 2) + 2) + 2
= ...
= T(1) + 2k
6. Since T(1) = 0, we have:
T(n) = 0 + 2k
= 2k
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Maria wants to buy a pair of shoes for $32.50 and a shirt for $8.50. If the sales tax rate is 8.5%, what will be the amount of sales tax on Marias purchase?
Answers
Answer:
54.25
Step-by-step explanation:
Help ! I’m stuck. Any help would be gladly appreciated
Answers
Answer:
The answer is D
hope this helps
What is the discriminant of the quadratic equation 0 = -x2 + 4x - 2? 4 8 012 O 24
Answers
Answer:
It's 8
Step-by-step explanation:
Given that z is a standard normal random variable, find z for each situation (to 2 decimals). Enter negative values as negative numbers. The area to the left of z is .2119. The area between -z and z is .9030. The area between -z and z is .2052. The area to the left of z is .9948. The area to the right of z is .6915.
Answers
After considering the given data we conclude that the z-score for each situation is
The area concerning left of z is .2119: z = -0.81
The area amongst -z and z is .9030: z = 1.44
The area amongst -z and z is .2052: z = 0.84
The area concerning left of z is .9948: z = 2.59
The area concerning right of z is .6915: z = 0.48
To evaluate the z-score for each situation, we can apply the z-table . Here are the steps to find the z-score for every situation:
The area concerning left of z is .2119:
Applying the z-table, we can evaluate that the z-score is -0.81.
The area amongst -z and z is .9030:
Applying the z-table, we can evaluate that the z-score is 1.44.
The area amongst -z and z is .2052:
Utilising the z-table, we can express that the z-score is 0.84.
The area concerning left of z is .9948:
Applying the z-table, we can calculate that the z-score is 2.59.
The area concerning right of z is .6915:
We need to evaluate the area concerning left of z first, which is
1 - 0.6915 = 0.3085.
Applying the z-table, we can compound that the z-score is 0.48.
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hey hottie !
Which of the following situations does Mrs. Ji Woo's hourly wage change by a constant percent?
A)Mrs. Ji Woo's starting hourly wage is $30.00 per hour the first year, and it increases by $2.50 each year.
B)Mrs. Ji Woo's hourly wage is $20 per hour in the first year, $22 per hour the second year, $24.20 per hour the third year, and so on.
C)Mrs. Ji Woo's starting hourly wage is $15.00 per hour. Her hourly wage is $15.75 after one year, $17.00 after two years, $18.75 after three years, and so on.
D)Mrs. Ji Woo's starting hourly wage is $28.00 per hour. She receives a $0.75 per hour raise after one year, a $1.00 per hour raise after the second year, a $1.25 raise after the third year, and so on.
Answers
Answer:
B I think
Step-by-step explanation:
I think it's B because in b it says so on which means his raise keeps going up each year
C. Question 2 of Online Tutorial 5 Test at 20% significance level whether one of the drugs is more effective than the other.
(a) The absolute value of the critical value of this test is type your answer...
(b) The absolute value of the calculated test statistic is type your answer...
(c) The p-value of this test is type your answer....
Answers
The p-value of this test is 0.0294.
a) The absolute value of the critical value of this test is "1.645".
The critical value for the given test can be calculated using the following formula;`
Critical value =
± z_(α/2)`
Where,`α` is the level of significance of the test.
`z_(α/2)`
is the critical value from the standard normal distribution table.
Since, the significance level of the test is 20%,
α = 0.2 or 0.20
Level of Significance = 0.20α/2 = 0.20/2α/2 = 0.10
Now, the critical value of the test can be found from the standard normal distribution table at 0.10 level of significance.
It comes out to be 1.645.
So, the absolute value of the critical value of this test is 1.645.
b) The absolute value of the calculated test statistic is "2.23".
The test statistic for the given test is the t-value calculated using the sample data.
It can be calculated using the following formula;
`t = (x¯1 - x¯2) / [ s_p * √(1/n1 + 1/n2) ]`
Where,`x¯1 and x¯2` are the sample means.
`s_p` is the pooled standard deviation.
`n1 and n2` are the sample sizes.
So, the test statistic of the given test comes out to be 2.23.So, the absolute value of the calculated test statistic is 2.23.
c) The p-value of this test is "0.0294".
The p-value for the given test is the probability of getting a t-value more extreme than the calculated t-value, assuming the null hypothesis is true.
The p-value can be calculated using the t-distribution table.
The degrees of freedom for the given test is
`df = n1 + n2 - 2`.
Substituting the values in the formula, the p-value for the given test comes out to be 0.0294.
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Alan and Beth share $1190 in the ratio Alan : Beth = 5:2.
Work out how much Alan receives.
options:
$850
$1666
$34
$119
Answers
The share of money Alan receives is $850. Therefore, option C is correct answer.
Given that, the total amount is $1190 and the ratio Alan: Beth = 5:2.
We need to find the how much money Alan gets.
What is the ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.
Now, 5+2=7
Money Alan receives=5/7×1190
=$850
The share of money Alan receives is $850. Therefore, option C is correct answer.
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HELPPPPPO
In a school of 500 students, a random sample of 60
students are asked what
their favorite subject is. The
results are in the table. Based on this sample, how
many students in the school would we predict have
math as a favorite subject?
Answers
Answer:
150
Step-by-step explanation:
'x' = number of students out of 500 who selected math
18/60 = x/500
cross-multiply:
60x = 9000
x = 150
The total number of cookies, y, contained in x packages can be represented by the equation y=24x. Which of the following graphs best represents this situation?
Answers
Answer: B)
Step-by-step explanation:
By checking which graph is satisfied, we choose points that the function has pass through.
First, we know that y = mx + b, where m is the slope, how the line change; and b is the y-intercept. In this equation, the slope is 24 which the line is increased. So we can eliminate the choice D, the line in D decreased.
Then we find where the first point and second point this graph will be.
When x = 0, y = 24x = 24(0) = 0, (0,24)
When x = 1, y = 24x = 24(1) = 24, (1,24)
1 package can have 24 cookies, only B have 24 cookies in 1 package.
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer
than Noah, and Noah scores three times as many points as Mai. If Mai
scores 5 points, how many
points did Elena score? Explain your reasoning.
Answers
Answer:
22
Step-by-step explanation:
if mai scores 5 points and noah scores 3 times that then noah scored 15 points, and if tyler scores four less than noah than he scored 11 points, which you multiply by 2 to get elena's score which is 22
Each person is dealt 5 cards, show the total number of cards dealt for each players from 3 to 6 write the ratio of cards dealt
Answers
Answer:
Following are the responses to these question:
Step-by-step explanation:
Because every player has 5 cards handed
The card ratio is 5:1 per player.
So, if there are three teams
5 times 3=15 Cards
Four players=four times five=20 cards
Five players=5 times five=25 cards
6 cards=6 times 5=30 cards
The card ratio is 5:1 per player.
Someone please help
Answers
Answer:
The first one
Step-by-step explanation:
Because
Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1
Answers
Question is in picture
Answers
Answer:
hypotenuse = 102.69
Step-by-step explanation:
7(13) + 4 = 95
3(13) = 39
hypotenuse² = 95² + 39² = 9025 + 1521 = 10546
hypotenuse = √10546 = 102.69
Answer:
It is 102.7Step-by-step explanation:
Let (h) is the hypotenuse so
[tex]h^{2} = {(7x + 4)}^{2} + {(3x)}^{2} \\ x = 13 \\ h^{2} = (95)^{2} + {(39)}^{2} \\ h = \sqrt{10546} \\ h = 102.7[/tex]
I hope that is useful for you :)