Answer:
Volume of the completes tower = 160 units³
Step-by-step explanation:
Martin is using unit cubes to build a tower in the shape of rectangular prism.
Bottom layer of the prism is in the square shape.
Since number of unit cubes used in the bottom layer = 16
So, one side of the square base will measure = √16 = 4 units
Therefore, Length = width = 4 units
On this base, additional layers added on the top = 9
Therefore, height of the tower = (9 + 1) = 10 units (each layer having 16 cubes)
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
Volume of the completed tower will be 160 cubic units.
The total volume in cubic units of the completed tower is 160 units³.
Calculation of the total volume;Since number of unit cubes used in the bottom layer = 16
So, one side of the square base should be
= √16 = 4 units
Now
Length = width = 4 units
The additional layers added on the top = 9
So, height of the tower = (9 + 1)
= 10 units
Now
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
hence, The total volume in cubic units of the completed tower is 160 units³.
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Complete the following statement.
-0.3 is graphed to the______ of 0.
Right
Left
Answer:
left
Step-by-step explanation:
because -0.3 is a negative number, it will be on the left side of the x axis.
What is the perimeter of the polygon?
12 cm
4 cm
5 cm
5 cm
6 cm
Answer:
32 cm
Step-by-step explanation:
Add 12+5+5+4+6 to get the perimeter.
compare 6.2054 to 5.3115
Answer: 6.2054 > 5.3115
Compare 6 and 5
6 > 5
Therefore 6.2054 > 5.3115
Answer:
[tex]6.2054 > 5.3115[/tex]
Step-by-step explanation:
[tex]6.2054 > 5.3115[/tex]
it's easy, first compare Number 6 and 5
[tex]6 > 5[/tex]
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Surface area of Square and Triangular Pyramids
Due 05/08/20 11:59pm
Use the figure to answer exercises 6-7.
12 ft
7 ft
6. Dennis drew a square pyramid and its net to represent a fort. Complete the net by filling in the
missing measure. Choose the correct answer below.
A
C.
D.
a
75ft
12ft
3.56
Cck to select your answers)
Rew
progress
& Back
Next
Answer:
B
Step-by-step explanation:
A car Travels at a speed of 65 miles per hour. How far will it travel in 5hours?
Can someone help me with this question I retake this picture
Answer:
1. 5*10=50
2. Draw an array that's 4 by 5, 2 by 10, or 1 by 20
Step-by-step explanation:
For the first problem, since there are 5 rows and 10 columns, the expression is 5*10. This is equal to 50. For the second problem, the array could either be an array with 2 rows and 10 columns, 4 rows and 5 columns, 1 row and 20 columns, or vice versa. Hope this helps!
I need help plzz help me will give brainliest!!!
Answer:
-5/6* -3/1 = A and D
Step-by-step explanation:
When you divide fractions, it's the same as multiplying a fraction and the second fractions reciprocal together.
So:
-5/6 divided by -1/3=
-5/6* -3
Which is congruent to 5/6 divided by 1/3
Answer:
A. [tex] ( - \frac{5}{6} ).( - 3) [/tex]
D. [tex] ( \frac{5}{6} ) \div (\frac{1}{3}) [/tex]
Step-by-step explanation:
[tex] = > \frac{ - \frac{5}{6} }{ - \frac{1}{3} } \\ \\ = > ( - \frac{5}{6} ) \div ( - \frac{1}{3} ) \\ \\ = > ( - \frac{5}{6} ) \times ( - 3) \\ \\ = > ( - \frac{5}{6} ).( - 3)\\AND \\ = > ( \frac{5}{6} ) \div (\frac{1}{3}) [/tex]
which of these is the best estimate of the volume of this cereal box?
Answer:
234 cubic inches
Step-by-step explanation:
12.9 will round to 13
9.2 will round to 9
2.2 will round to 2
the equation for volume is [tex]V=whl[/tex] which mean you will multiply all three of the numbers to get 234 cubic inches
i hope i could help :)
What is the value of x? A) 10 B) 12 C) 15 D) 17
Answer:
c) 15
Step-by-step explanation:
Passengers of flyaway airlines can purchase tickets for either business class or economy class. On one particular flight there were 154 passengers. Let x be the number of business class passengers and y be the number of economy class passengers on this flight.
Use the information above to write down an equation in x and y.
On this flight the cost of a ticket for each business class passenger was 320 euros and the cost of a ticket for each economy class passenger was 85 euros. The total amount that Flyaway Airlines received for these tickets was 14970 euros.
Use this information about the cost of the tickets to write down a second equation in x and y.
Find the value of x and the value of y.
The airlines finance officer write down the total amount received by the airline for these tickets as 14270 euros.
Find the percentage error.
Answer:
x = 8
y = 146
Error = 4.86%
Step-by-step explanation:
Number of business class passenger = x
and the economy class passenger = y
Total number of passengers = 154
x + y = 154 ------(1)
Cost of business class tickets and economy class tickets are €320 and €85 respectively.
Total amount received by airlines is €14970.
320x + 85y = 14970
64x + 17y = 2994 --------(2)
Multiply equation (1) by 17 and subtract from equation (2)
(64x + 17y) - (17x + 17y) = 2994 - 2618
47x = 376
x = 8
From equation (1),
8 + y = 154
y = 154 - 8
y = 146
Airline officer wrote down the amount received as €14270
Then difference from the actual amount received = 14970 - 14270
= €700
% Error = [tex]\frac{\text{Difference in amount}}{\text{Actual amount}}\times 100[/tex]
= [tex]\frac{700}{14970}\times 100[/tex]
= 4.676
≈ 4.68%
Therefore, x = 8 and y = 146
and % error = 4.68%
Which of these probability values fit the tree diagram?
(Tree Diagram picture included)
Answer:
your awnser would be be
Step-by-step explanation:
it would be b because i took this test
Can someone help me please?
Answer:
l
Step-by-step explanation:ll
The ratio in Mrs. Jones class was 10 boys to 13 girls. If the school has 700 students, how many boys attend the school?
Answer:
304
Step-by-step explanation:
total students of Mr. Jones' class = 10 + 13 = 23
boys who attend the school = (700 / 23) x 10 = approximately 304 boys
Write the expression for when you translate the graph of y =|3x| − 5 one unit to the right.
Answer:
The answer is |3x-3|-5
I have RSM too it’s irritating
Answer:
y=|3x-3|-5
Step-by-step explanation:
y=|3x-3|-5
JI kkk dm em an s k. Gn dnzexnexnrxnex
Answer:
6
Step-by-step explanation:
The mode of a set of data values is the value that appears most often. ^ appers 4 times.
What is the best advice to prevent identity theft?
Preventing identity theft involves securing personal items like credit cards and wallets, using strong passwords, monitoring credit history, and being cautious when sharing personal information, especially during job searches or online interactions.
Explanation:Best Practices to Prevent Identity Theft
Identity theft, or 'True-name Fraud,' is a significant threat where criminals use stolen personal information to commit fraud. Protecting oneself from identity theft involves a number of crucial steps:
Always safeguard your credit and debit cards from unauthorized access.Secure your mailbox to prevent theft of mail which may contain sensitive information.Keep a vigilant eye on your wallet, which holds many personal identifiers and cards.Create strong passwords and PINs that defy easy guesses, incorporating a mix of letters, numbers, and symbols.Install reputable anti-virus software on your computer to guard against malware.Inform your bank promptly when you change your address or phone number to avoid misdirected sensitive communication.Be reticent in sharing personal information; always inquire why it's necessary and how it will be protected.Monitor your credit history regularly for any sign of unusual activity.Be conscientious when job searching - only disclose personal information to legitimate companies and be wary of too-good-to-be-true job offers.Does the function f(x) = x^3-4x^2+2x-6/x-3 have a slant asymptote? If so, find an equation of the slant asymptote. If not, explain
Answer:
No slant asymptote.
Step-by-step explanation:
No it hasn't .
If we do the division we find the quotient is a trinomial in x^2 so not a straight line, so there is no slant asymptote.
The one asymptote is the vertical line x = 3, because when x = 3 the denominator becomes 0.
Final answer:
To find the slant asymptote for the given function f(x), perform long division of the numerator by the denominator. The result is a quadratic function, which is the equation of the slant asymptote, specifically y = x^2 - x - 3.
Explanation:
The function f(x) = (x^3 - 4x^2 + 2x - 6)/(x - 3) does indeed have a slant asymptote, since the degree of the numerator is exactly one more than the degree of the denominator. To find the equation of the slant asymptote, you may perform polynomial long division or synthetic division. You would divide x^3 - 4x^2 + 2x - 6 by x - 3 to obtain the quotient which will be the equation of the slant asymptote.
When you do that, you'll find that the quotient is x^2 - x - 3. Since there's no remainder, or the remainder is of lesser degree than the denominator, the function approaches the line y = x^2 - x - 3 as x approaches infinity or negative infinity. This quadratic function is the slant asymptote for f(x).
Which situation can be represented by the equation below?
15 - x = 63.75
Answer:
The last one
Step-by-step explanation:
The first one would be multiplication because you want to find the total thickness, the second one is division because it gives the total value and the amount of bags, the third one is addition because it gives you a starting value and says that they work this amount more in this month, and the last one is subtraction because he first pays with a gift card, and then with cash.
Hopefully that helped
The situation that can be represented by the equation 15 - x = 63.75 is (d)
How to determine the situation?The equation is given as:
15 + x = 63.75
The above equation is a addition equation.
This means that the situation or scenario that describes the situation must illustrate addition.
From the list of given option, the option (d) perfectly describes the scenario.
This is so because 15 represents the worth of gift card, 63.75 represents the total amount and x represents the amount spent in cash
Read more about linear equations at:
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I'm confused. Can someone help?
a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
----------
The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
================================================
b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
---------
Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
find the area of the shaded region. round to the nearest hundredth. use 3.14 for pi.
how many cubic feet of water can the following in ground swimming pool hold
a)42 ft3
b)144 ft3
c)303 ft3
d)528 ft3
15f) Determine the line of symmetry. y = x2+16x+64
The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation of the parabola is given below.
y = x² + 16x + 64
Convert the standard equation into a vertex form. Then we have
y = x² + 16x + 64
y = (x + 8)²
We know that the line of symmetry passes through the vertex of the parabola. Then the equation of the line of symmetry is given as,
x + 8 = 0
The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.
More about the equation of the parabola link is given below.
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In the diagram above, O is the centre of circle, PAQis the tangent to the circle at A, AD is parallel to OC and ∠PAD = 28°. Find,
(i) ∠ABC
(ii) ∠OAC
(iii) ∠OCD
The answer is attached.
What are the leading coefficient, constant term and degree, if any, of the algebraic expression 7^x + 2x + 1?
a.
leading coefficient: 2; constant term: -1; degree: 2
c.
leading coefficient: 2; constant term: 1; degree: -2
b.
leading coefficient: -2; constant term: 1; degree: 2
d.
none, expression is not a polynomial
Please select the best answer from the choices provided
A
B
C
D
Answer:
d. none, expression is not a polynomial
Step-by-step explanation:
right on edg. :)
PLEASE HELP WITH 7TH GRADEE MATH!!!!
Answer:
D
Step-by-step explanation:
On the graph, the first action you see is a straight line going up. The key word you look for in the word explanations are "increase" and "constant rate". Then, the 2nd action you see is a straight line not going up or down, just staying on the same level. This could be called "remaining the same" or stopping/resting. Then, you see a straight line going down. You look for "decrease" at a "constant rate." D matches all of those.
The equation of a function is represented by f(x)=(x + 4) ( x - 3). Terri stated that the roots are 4 and -3. Is Terri right or wrong? Explain your answer
Answer:
Terri is wrong the roots are -4 and 3. She mixed up the numbers
Step-by-step explanation:
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What mathematical operation is used with translations?
Answer in complete sentence.
Sarah is renting a cabin for vacation and has two choices. Cabin Arents for $100 per day and has a
$50 insurance fee. Cabin B rents for $120 per day and has a $10 insurance fee. Which system of
equations below will determine when the two choices will have the same cost?
Answer:
x = 2 days
y = 250 $
Step-by-step explanation:
We call "y" total renting costs and "x" total vacation days
according to that in first case we have:
y = 100*x + 50
And for the second case
y = 120*x + 10 (1)
That two equation system represent the equation system of the situation, therefore if we solve that system we will determine the choises with same costs
equating these two equations:
100*x + 50 = 120*x + 10
50 - 10 = 120*x - 100*x
20*x = 40
x = 2 days
Plugging that value in any of the equation (1) or (2) we get y value
y = 120*2 + 10
y = 250 $
Which symbol makes this statement true?
7.1 _____ -7.1
>
<
=
The greater than sign is what makes it true because a positive number is always greater than a negative number.
7.1 > -7.1
Answer:
> is the answer
Step-by-step explanation:
Some times it is hard to understand which symbol it is. - 7.1 is left of the number line, so that mean its is less that a whole number/ full decimal.
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The equation y = log b^x
is equivalent to the exponential form
If [tex]\(y = \log_b(x)\)[/tex], then [tex]\(b^y = x\)[/tex] is the equivalent exponential form.
The logarithmic equation [tex]\(y = \log_b(x)\)[/tex] is equivalent to the exponential form [tex]\(b^y = x\)[/tex]. These two forms are related by the definition of logarithms.
In the logarithmic form [tex]\(y = \log_b(x)\)[/tex], [tex]\(b\)[/tex] is the base of the logarithm, [tex]\(x\)[/tex] is the argument of the logarithm, and [tex]\(y\)[/tex] is the exponent to which the base [tex]\(b\)[/tex] must be raised to obtain [tex]\(x\)[/tex].
In the exponential form [tex]\(b^y = x\)[/tex], [tex]\(b\)[/tex] is the base, [tex]\(y\)[/tex] is the exponent, and [tex]\(x\)[/tex] is the result of raising the base [tex]\(b\)[/tex] to the power of [tex]\(y\)[/tex].
So, if [tex]\(y = \log_b(x)\)[/tex], then [tex]\(b^y = x\)[/tex] is the equivalent exponential form.
The probable question may be:
"What is the exponential form equivalent to the logarithmic equation [tex]\(y = \log_b(x)\)[/tex], where [tex]\(b\)[/tex] is the base of the logarithm, [tex]\(x\)[/tex] is the argument, and [tex]\(y\)[/tex] is the exponent? Provide the expression in the form [tex]\(b^y = x\)[/tex]."
The equation [tex]\(y = \log_b^x\)[/tex] can be represented in exponential form as [tex]\(b^y = x\).[/tex]
Explanation:When dealing with logarithms and exponential functions, there exists an inverse relationship between them. The logarithm is the inverse of the exponential function, and vice versa. In the given equation [tex]\(y = \log_b^x\),[/tex] the logarithm is in base \(b\) with an exponent of \(x\). To rewrite this equation in exponential form, we need to switch from logarithmic notation to exponential notation.
In exponential form, the base[tex](\(b\))[/tex]is raised to the power of the logarithm ((y)), resulting in [tex]\(b^y\).[/tex] The result of this exponential expression is the value (x\), which is the argument of the logarithm. This transformation showcases the fundamental relationship between logarithms and exponentials, demonstrating that they are different representations of the same mathematical concept.
Expressing the equation as[tex]\(b^y = x\)[/tex]in exponential form clarifies how the logarithmic statement[tex](\(y = \log_b^x\))[/tex] translates into an equivalent exponential form. It emphasizes the reciprocal relationship between logarithms and exponentials, providing a clear understanding of how these forms interrelate in mathematics.
This transformation from logarithmic to exponential form serves to simplify expressions, solve equations, and understand the fundamental connection between logarithms and exponentials in mathematical operations.
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