Answer:
A cube or a cuboid.
Step-by-step explanation:
A cube or a cuboid is a three dimensional shape that has
12 edges, 8 corners or vertices, and 6 faces.
The difference between a cube and cuboid is that a cube has all edges equal which makes every face a square while a cuboid has two square faces and four rectangular faces.
Find the value of y. Cos 21=9/y
y=9.64
—————
cos21=9/y
Cross Multiply
ycos21=9
Divide both sides by cos21 to isolate y
9/cos21 = 9.640304943
y=9.64
Plz help me! Lol don’t mind the erase marks cuz as you can tell I am very confused
here is the answer and solution
Answer:
92 ft^2
Step-by-step explanation:
You have the top part correct. Don't let the multitude of numbers fool you.
The bottom rectangle is 5 high by 10 wide
Area = 10 * 5 = 50 ft^2
Your top part was 6*7 = 42 ft^2
The total area is 50 + 42 = 92 ft^2
Mr. Parker asked his students to draw and label a solid figure. He gave these directions: . Use two rectangular prisms e The volume should be 544 cubic centimeters Lana drew the solid figure betow. 4 cm 7 cm 5 cm 8 cm 12 cm Part A Did Lana draw a correct figure? Explain your reasoning.
jkaa[kakskskawz82xb2b2jdw
What is the explicit formula for this geometric sequence 64, 16, 4, 1
Answer:
a(n) = 64 * (1/4)^(n-1)
Step-by-step explanation:
64/16 = 4
16/4 = 4
and so on
so r = 1/4
Geometric sequence:
a(n) = a1 r^(n-1)
a(n) = 64 * (1/4)^(n-1)
Final answer:
The explicit formula for the geometric sequence 64, 16, 4, 1 is an = 64 times (1/4)(n-1), where 'an' is the nth term of the sequence.
Explanation:
The explicit formula for a geometric sequence is given by an = a1 times r(n-1), where a1 is the first term and r is the common ratio. To find the explicit formula for the geometric sequence 64, 16, 4, 1, we need to firstly identify the common ratio r. We can find this by dividing any term by the previous term, so r = 16 / 64 = 1 / 4. The first term a1 is 64. Thus, the explicit formula for the given sequence would be an = 64 times (1/4)(n-1).
Pre-Algebra 8th grade flvs (mark brainiest/ 30 POINTS)
The graph below shows the height an elevator travels, y, in x seconds:
What is the rate of change for the relationship represented in the graph?
50
25
1/25
1/50
Answer:
25
Step-by-step explanation:
I'm not in 8th grade... but I am quite smart.
Look at the graph. Each point goes up 25. It starts at the origin, then 25, 50, 75, 100. In other words, 50 = 25 + 25, 75 = 25 + 25 + 25, and 100 = 25 + 25 + 25 + 25.
A rotation is a transformation that turns a figure around a given ______ called the center of rotation
Will give BRANILEST
Rotation is a type of transformation that turns a figure around a given point called the center of rotation
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Rotation is a type of transformation that turns a figure around a given point called the center of rotation.
Find out more on transformation at: https://brainly.com/question/4289712
Final answer:
A rotation is a transformation that involves a figure turning around a fixed point called the center of rotation, with all other points moving in circular paths around this central point.
Explanation:
A rotation is a transformation that turns a figure around a given point called the center of rotation. In geometry, when objects undergo rotation, such as a compact disc (CD) spinning, each point on the object moves along a circular arc. The rotation is planar, meaning the object stays within a single plane as it turns around a central point. The axis of rotation can be thought of as a line passing through this central point, remaining fixed while the rest of the figure rotates around it. For example, Earth's rotation on its imaginary axis, stretching between the North and South Poles, causes the daily cycle of night and day.
When we consider an individual object rotating in a fixed location, the axis of rotation is the line about which the rotation occurs. Points on this axis do not move, and every other point in the object follows a path around this axis. If we were to visualize the motion of a rotating rod, for instance, we would see that a rod rotated around an axis through its center perpendicular to its length exhibits this rotational motion. In all cases, the center of rotation acts as a pivotal point around which the figure rotates.
a rectangle has vertices at (0 0) (3 0) and (0 6). what is the area of the rectangle answer
Answer:
18 sq. units
Step-by-step explanation:
Height would be 6 and Length would be 3
6 x 3 = 18
For further help, use a coordinate grid and plot the points
Answer:
9 units
Step-by-step explanation:
We need to find the last point. This is a rectangle. We already have 3 corners. We need the opposite corner to (0,0). One corner has an x of 3 and a y of 0, another corner has a x of 0 and a y of 6.
We therefore know the fourth corner/point is (3, 6)
Now we can properly visualize the rectangle. If the rectangle has a corner at the origin, we can just use a formula and the other corner to find the area.
Area (rectangle) = 1/2 x length x width
The length will be the difference between the two x points (0 and 3) and the width will be the difference between the two y points (0 and 6).
Length = 3
Width = 6
Area = 1/2 x 3 x 6
Area = 9 units
How can I show that 0.2 is greater than 0.18
Answer:
Step-by-step explanation:
By showing that 0.20 is greater than 0.18 by doing 0.20-0.18 which gives a positive 0.02, thich means that its greater.
0.2 is greater than 0.18.
What inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have to Compare 0.2 and 0.18.
First we have two digits in 0.18 after decimal.
Then, make 0.2 with two digits after decimal as 0.20.
Now, compare the after decimal value
20 > 18
So, 0.2 is greater than 0.18.
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What is the arc length of the semicircle?
The arc is equal to the half of circumference.
The formula for circumference is [tex]C=2\pi r=2\pi 11=22\pi\approx69.11[/tex]. Now divide that by 2 and you get [tex]69.11\div2\approx\boxed{34.56}[/tex]
Semicircular arc has a length of approximately 34.56
Hope this helps.
r3t40
For the inverse variation equation xy=k what is the constant of variation k when x=-3 And y=-2
ANSWER
The constant of variation is 6.
EXPLANATION
The inverse variation equation is:
[tex]xy = k[/tex]
We want to find the constant of variation, when x=-3 and y=-2.
We substitute the values for x and y to get,
[tex] - 3 \times - 2 = k[/tex]
Multiply out the left hand keeping in mind that negative times negative yields a positive result.
This implies that;
[tex]k= 6[/tex]
Hence the constant of variation is 6.
Answer:
The constant of variation k is 6.
Step-by-step explanation:
Given that there is inverse variation between x and y with equation
[tex]xy=k[/tex]
we have to find the constant of variation k when x=-3 and y=-2
The inverse variation equation is:
[tex]xy = k[/tex]
To find constant of variation we substitute the values of x and y
Put x=-3 and y=-2
[tex](-3)\times (-2)=k[/tex]
Solve LHS by multiplying
This implies
[tex]k= 6[/tex]
Hence the constant of variation is 6.
find the volume of the prism:
A) 168 units cubed
B) 168 units squared
C) 210 units squared
D) 210 units cubed
Answer:
168 units cubed
Step-by-step explanation:
so we know it's base times height right
so like identifying the base doesn't matter as long as you're smart enough to figure how to calculate then whatever lol
so like the base let's just say it's the triangle because that's probably what you're struggling on
so the base of the triangle is like what lol 6 * 8 / 2 = 48 / 2 = 24 so then you have the base multiply by the third dimension
24 * 7 = 140 + 28 = 168 so yeaaaaaaa and it's cubed because it's three dimensional
Which of the following function is graphed?
Can u tell me how to do it so I can learn too ☹️
Answer:
D
Step-by-step explanation:
Try to remember this formula.
[tex]y=a|b(x-c)|+d[/tex]
Where a is the vertical multiplier, b is the horizontal multiplier, c is the x coordinate of the vertex, and d is the y coordinate of the vertex.
Since the vertex on the graph is (2,3), c and d have to be 2 and 3.
Also, there are no vertical/horizontal stretches so the a and b values stay at 1.
The final equation would come out to [tex]y=|x-2|+3[/tex]
Graph the hyperbola with equation quantity x minus 1 squared divided by 49 minus the quantity of y plus 3 squared divided by 9 equals 1.
Answer:
See attached diagram
Step-by-step explanation:
You are given the equation of hyperbola
[tex]\dfrac{(x-1)^2}{49}-\dfrac{(y+3)^2}{9}=1[/tex]
From this equation,
the center of hyperbola is at point (1,-3);the real semi-axes [tex]a^2=49\Rightarrow a=7;[/tex]the imaginary semi-axes [tex]b^2=9\Rightarrow b=3.[/tex]Draw two parallel lines x=1 and y=-3 (they intersect at the center of hyperbola), then on horizontal line match two hyperbola's vertices (7 units to the left and 7 units to the right from the center). Then draw two branches of hyperbola (one in negative direction and one in positive direction).
What are the steps to find (2+2i)(5+3i)?
Answer:
Step-by-step explanation:
(2+2i)(5+3i)
(2)5+(2)3i=10+6i
(2i)5+(2i)3i=10i+6i^2
10+6i+10i+6i^2
6i^2+6i+10i+10
6i^2+16i+10
To find the product of (2+2i)(5+3i), apply the distributive property to multiply each part. The result is 10 (real*real), 6i (real*imaginary), 10i (imaginary*real), and -6 (imaginary*imaginary, since i^2=-1), which are summed to give 4 + 16i.
Explanation:The product of two complex numbers, such as (2+2i)(5+3i), can be found by using the distributive property (also known as foil - first, outer, inner, laters). In this case:
First, multiply the real parts: 2*5 = 10. Second, multiply the outer parts: 2*3i = 6i. Then, multiply the inner parts: 2i*5 = 10i. Lastly, multiply the imaginary parts: 2i * 3i = 6i^2. But, since i^2 = -1, this becomes -6.
Sum these results together: 10 + 6i + 10i - 6. Thus, (2+2i)(5+3i)= 4 + 16i.
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Complete the square to determine the maximum or minimum value of the function defined by the expression.
x2 + 8x + 6
A) minimum value at 8
B) maximum value at 10
C) minimum value at −14
D) minimum value at −10
Final answer:
By completing the square, the quadratic function x² + 8x + 6 can be rewritten as (x + 4)² - 10. The minimum value of the function is at -10, corresponding to option D.
Explanation:
To determine the maximum or minimum value of the quadratic function represented by the expression [tex]x^2 + 8x + 6[/tex], we should complete the square. This method involves creating a perfect square trinomial from the given quadratic expression, which allows for easy identification of the vertex of the parabola that represents the function graphically.
We start by taking the coefficient of the x-term (which is 8), dividing it by 2, and then squaring it to get 16. Then we add and subtract this value within our expression, which gives us:
[tex]x^2 + 8x + 16 - 16 + 6[/tex]
The expression now becomes:
( [tex]x^2 + 8x + 6[/tex]) - 10
This simplifies to:
(x + 4)2 - 10
Now that we have a perfect square, we can see that the vertex is at (-4, -10), which represents the minimum value of the function since the coefficient of the [tex]x^2[/tex] term is positive, indicating a parabola that opens upward.
Therefore, the correct answer is:
D) minimum value at − 10
What is the factores form of x^12y^18+1
Answer:
factors of [tex] x^{12}y^{18}+1 = (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)[/tex]
Step-by-step explanation:
We need to find factors of [tex]x^{12}y^{18}+1 can\,\,be\,\, written\,\, as\,\,\\(x^2y^3)^6 + 1\\It\,\, can\,\, be\,\, further\,\, written\,\, as\\((x^2y^3)^2)^3 +1\\Using\,\, the\,\, formula\,\, a^3+b^3 = (a+b)(a^2-ab+b^2)\\Here \,\, a = (x^2y^3)^2 and y = 1\\((x^2y^3)^2)^3 +(1)^3= ((x^2y^3)^2+1) (((x^2y^3)^2)^2 -(x^2y^3)^2 +1)\\= (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)[/tex]
So, factors of [tex] x^{12}y^{18}+1 = (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)[/tex]
Which set of numbers best describes the possible values of x in the equation below?
[x-1]=[x]
A) all integer values of x
B) all real number values of x
C) only negative values of x
D) only fractional values of x
Final answer:
The equation [x-1]=[x] suggests two possible values for x, which are 0 and 0.5. These are specific values rather than a continuous range or a broad set like all integers or all real numbers.
Explanation:
The equation [x-1]=[x] compares the absolute values of two expressions: x-1 and x. Absolute values are always non-negative, leading to two possible scenarios. First, if x is non-negative, x will be equal to x-1, which only happens when x is zero. Second, if x is negative, then -x is equal to x-1, which is true when x = 0.5. No other values of x will satisfy the equation, as the increment on one side of the equation will not match the decrement on the other. Therefore, the correct set of numbers that describes the possible values of x is neither integers, all real numbers, only negatives, nor only fractions. Instead, it includes specific values, which are 0 and 0.5.
Final answer:
The equation [x-1]=[x] is not satisfied by any real value of x since attempts to solve it lead to contradictions. Thus, there are no possible values of x for this equation; none of the provided choices are correct.
Explanation:
To determine which set of numbers best describes the possible values of x in the equation [x-1]=[x], where [] denotes the absolute value, we must consider when the absolute values of two expressions would be equal.
If x is a non-negative number, then [x] = x and [x-1] = x-1. Thus, the equation implies x = x - 1, which is impossible for any real number.
If x is negative, then [x] = -x and [x-1] = 1-x. The equation becomes -x = 1 - x, which simplifies to 0 = 1, which is also impossible.
Therefore, there are no values of x that can satisfy this equation since we always end up with a contradiction when we attempt to solve it. This means the correct answer is that there are no possible values of x that will satisfy the given equation, which isn't one of the provided choices.
An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. If a marble is drawn at random what are the odds of drawing a blue marble?
Answer:
Odds are 3 to 7
Step-by-step explanation:
The odds are defined as the probability that the event will occur divided by the probability that the event will not occur.
Let's find:
Probability of blue marble = 3/10 [ 3 blue and 10 in total]
Probabilty of NOT blue marble = 7/10 [7 marbles are red and green (not blue) and 10 in total]
Hence,
Odds of drawing a blue marble = [tex]\frac{\frac{3}{10}}{\frac{7}{10}}=\frac{3}{10}*\frac{10}{7}=\frac{3}{7}[/tex]
The odds are 3 to 7
Solve by factoring 25x^2+1=10
Answer:
x = 3/5, -3/5
Step-by-step explanation:
Answer:
x = ± [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given
25x² + 1 = 10 ← subtract 10 from both sides
25x² - 9 = 0 ← in standard form
note that 25x² - 9 is a difference of squares and factors as
(5x - 3)(5x + 3) = 0
Equate each factor to zero and solve for x
5x - 3 = 0 ⇒ 5x = 3 ⇒ x = [tex]\frac{3}{5}[/tex]
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex]
The figure below is a net for a rectangular prism. Side a = 21 inches, side b = 17 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,550 square inches
B. 775 square inches
C. 3,927 square inches
D. 1,319 square inches
Answer:
The answer is 1,550
Step-by-step explanation:
First you find the area of the rectangle 1
Area = ab
=(21 in) (17in)
=357 sq in.
this will be the same for rectangle 3 = 357 sq. in.
next find the area of rectangle 2
area=ac
=(21 in) (11 in)
=231 sq in.
this will be the same for rectangle 4 = 231 sq. in.
next find the area of rectangle 5
area = bc
=(17 in) (11 in.)
=187 sq. in
this will be the same for rectangle 6 = 187 sq. in.
Next add all areas together
Total surface area = 2(ac) + 2(ab) + 2(bc)
= 2(231) sq in. + 2(357) sq in. + 2(187) sq. in
= 462 + 174+ 374
= 1550 sq. in
a warehouse worker ships 9 boxes each day. Every box must contain 3 shipping labels .How many shipping labels does the worker need each day?
9 (boxes a day) x 3 (shipping labels per box)= 27 labels per day
Answer: 27
Step-by-step explanation:
Given : The number of boxes warehouse worker ships = 9
The number of shipping labels contained in box = 3
Then the number of shipping labels the worker need each day is given by :-
[tex]9\times3=27[/tex]
Hence, the number of shipping labels the worker need each day =27
Find the future value and interest earned if $8706.54 is invested for 8 years at 6%
Answer:
Flat 12,885.68
Compound 13,876.90
Step-by-step explanation:
Flat rate (6% of only the amount you invested originally per year (based on investment) -
(8706.54*.06)*8+8706.54=12885.68 (rounded)
Compound interest (6% interest on total money earned per year(based on amount invested previous year).)
(((((((8706.54*1.06)*1.06)*1.06)*1.06)*1.06)*1.06)*1.06)*1.06)=13,876.90
The future value of the investment is $13876.90 and the interest earned is $5170.36.
To solve this problemWe can use the following formulas:
Future value = [tex]Principal * (1 + Interest rate)^N^u^m^b^e^r ^o^f^ y^e^a^r^s[/tex]
Interest earned = Future value - Principal
Substituting the known values into the formulas, we get:
Future value =[tex]$8706.54 * (1 + 0.06)^8 = $13876.90[/tex]
Interest earned = $13876.90 - $8706.54 = $5170.36
Therefore, the future value of the investment is $13876.90 and the interest earned is $5170.36.
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BRAINLIEST + POINTS NEED HELP!
Answer:
ohh tough one let me figure this out
Step-by-step explanation:
brb
afk
Melanie paid $42.50 for 3 adult tickets and 2 student tickets at Theater A. Drew paid $47 for 4 student tickets and 2 adult tickets at Theater A. Theater B charges $9 for each adult ticket and $7 for each student ticket.
Which of the following statements is TRUE?
A
The price for each adult ticket is the same at both theaters
B
The price for each student ticket is the same at both theaters.
C
The price of an adult ticket at Theater A is $0.50 less than the price of an adult ticket at Theater B.
D
The price of a student ticket at Theater B is $0.50 less than the price of a student ticket at Theater A.
Answer:
B. The price for each student ticket is the same at both theaters
Correct Option is B.
System of Linear equations:
A system of linear equations is a set of equations which are satisfied by the same set of variables.
Ex : 2x - y = 12 , x - 2y = 48
Here,
Let's take adult ticket price in theatre A = x
And the student ticket price in theatre A = y
So, (Given), 3x + 2y = $42.50 (Melanie paid)
=> 2y = $42.50 - 3x --(1)
Also given, 2x + 4y = $47 (Drew paid)
=> 4y = $47 - 2x
2(2y) = $47 - 2x
Now, substitute 2y value from eq-(1), we get
2($42.50 - 3x) = $47 - 2x
$85 - 6x = $47 - 2x
=> $85 - $47 = 6x - 2x
=> $38 = 4x
=> x = ($38)/4 => 9.5
Substitute x value in eq-(1), we get
2y = $42.50 - 3(9.5) => y = $7.
In the given options only Option B is the correct answer.
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what has to be true for corresponding angles to be congruent
Answer:
The lines intersected by a transversal must be parallel.
X:y = 7:4
x:y= 88
Work out the value of x-y
Answer:
x = 56
y = 32
Step-by-step explanation:
x: y
7:4 = 11
multiply by 8 to make a total of 88
x = 7 × 8 = 56
y = 4 × 8 = 32
For the proportions X: Y = 7:4 and X: Y = 88, we first find that X = 154 and Y = 88. Subsequently, we can determine that X-Y is equal to 66.
Explanation:The given conditions are X: Y = 7:4 and X: Y = 88. This means X/Y = 7/4 and X/Y = 88. Since both conditions have to be true, it implies 7/4 = 88. Taking the cross product, we find that X = 7*88/4 = 154.
To find Y, we substitute X = 154 into X: Y = 7:4, rearrange the equation to solve for Y, and get Y = 154 * 4 / 7 = 88. Now, we can calculate X-Y = 154-88 = 66. Hence, X-Y is equal to 66.
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What is the domain and range of f left parenthesis x right parenthesis= x2 + 4?
Answer:
The domain is all real numbers or (-infinity, +infinity)
The range is all numbers greater than or equal to 4 or (4,+infinity)
Hope this helped! :)
ANSWER
[tex](-∞,+∞)[/tex]
EXPLANATION
The given function is
[tex]f(x) = {x}^{2} + 4[/tex]
This is a polynomial function.
Polynomial functions are defined for all real values of x.
For every x-value, there is a corresponding y-value.
Therefore the domain of the given function is all real numbers.
We can rewrite this as:
(-∞,+∞).
Would a theme park with expansive ticket prices be a good place for a field trip?
Determine whether each question may be
biased explain.
You’ll get 15 points.
this question is unclear
I just need 23 please
Answer:
The answer is D
Answer:
The answer is A
plz asap 1. (5 points) What is the value of x? Show all of your work. Round your answer to the nearest tenth.
41.2 in.
35.7 in.
Answer:
X = 20.6 inches
Step-by-step explanation:
Pythagorean Theorem: [tex]A^{2} =B^{2} +C^{2}[/tex]
A = 41.2 in, while B = 35.7 in and we are solving for C.
[tex]41.2^{2} = 35.7^{2} +C^{2}[/tex]
[tex]1697.44 = 1274.49 + C^{2}[/tex]
Now solve for C
[tex]422.95 = C^{2}[/tex]
Take the square root
[tex]20.5657482237 = C[/tex]