845,000 rounded to the nearest ten thousand will be 850,000
What is a good practice to remember when adding transitions to a presentation?
A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.
Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.
finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.
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What is 1/3 of 5 1/2
Answer:
im so sorry
Step-by-step explanation:
Answer:
(1/3)*(5 1/2) = 1.83333333333 or 1.8
Step-by-step explanation:
A journey takes 3 hours at an average speed of 30 km per hour. How long will this journey take at 45 km per hour?
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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I need some help with this(ratio)(need explanation)
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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George has 3 bags of sand. The weights of the bags of sand are 2.5 pounds, 3.2 pounds and 6.3
pounds. What is the sum of the three bags of sand in kilograms if 1 lb. is approximately 0.45 kg?
itd be 5.4 kg
2.5 + 3.2 + 6.3 × .45 = 5.4
Which of the following is equal to the expression listed below? 25 + 10
Answer:35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
25+10=35
At the fast food restaurant, an order of fries costs $0.92 and a drink costs
$0.96. How much would it cost to get 2 orders of fries and 4 drinks? How
much would it cost to get f orders of fries and d drinks?
Total cost, 2 orders of fries and 4 drinks:
Total cost, f orders of fries and d drinks:
The cost of 2 orders of fries and 4 drinks is $5.68 and the cost to get f orders of fries and d drinks is $0.92f+0.96d
What is unit rate?When something is calculated on its one unit, then it is called its unit rate. for example: If 5 mangoes is of $50 then cost of 1 mango is 50/5 = 10 here $10 is unit rate for mangoes.
Given that, At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96.
We have here unit rates of fries and drinks,
So, when 1 pack of fries costs $0.92, then cost of 2 pack of fries = 2×0.92 = $1.84
Similarly, when 1 drink costs $0.96, then the cost of 4 drinks = 4×0.96 = $3.84
Total cost = $5.68
Similarly, the cost to get f orders of fries = $0.92f
And, the cost of d drinks = $0.96d
Total cost = $0.92f+0.96d
Hence, we get the answer as = a) $5.68 and b) $0.92f+0.96d
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Which graph represents a linear function?
Answer:
Graph two would be the answer because it is not curving.
Step-by-step explanation:
Write an expression that is divisible by 7. Use it to find two three-digit numbers numbers divisible by 7.
Answer:
7x+7 is obviously divisible by 7.
put in any value high enough and you can find the two three digit numbers.
Step-by-step explanation:
Two three-digit numbers divisible by 7 are 98 and 105.
Two three-digit numbers divisible by 7 are 98 and 105.To create an expression that is divisible by 7, we can use the property that the difference between two numbers is divisible by 7 if the numbers themselves are divisible by 7.
Let's represent a three-digit number divisible by 7 as "7k" where k is an integer. To find two three-digit numbers divisible by 7, we can use the following expression:
7k - 7
For example, if we substitute k = 15, we get:
7(15) - 7 = 105 - 7 = 98
So, the first three-digit number divisible by 7 is 98.
Similarly, for the second three-digit number, let's substitute k = 16:
7(16) - 7 = 112 - 7 = 105
Therefore, the two three-digit numbers divisible by 7 are 98 and 105.
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Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
PLEASE I NEED HELP!!! FIRST ANSWER IS BRANLIEST!!!
Apply the distributive property to create an equivalent expression. 6(5x-3)
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
Apply the distributive property.
6(5x) + 6(-3)
30x + - 18
Answer:
30x - 18 is your final answer
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Which expression is equivalent to 16(30x – 24y) –18 (32x – 16y)?
Answer:
\frac{1}{6}\left(30x-24y\right)-\frac{1}{8}\left(32x-16y\right)
Step-by-step explanation:
there ya go
If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?
Answer:
The correct answer is 9.
Step-by-step explanation:
To get this solution, you would need to use division.
\(\frac{54}{6} = 9\)
--
To be sure that the answer is correct, check your answer.
\(9*6 = ?\)
\(9*5 = 45\)
Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.
\(45+9=54\)
--
**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.
Answer:
$9 per cupStep-by-step explanation:
Let the unit price is x.
6 cups cost $54:
6x = 54x = 54/6x = 9Find tan0 where 0 is the angle shown
PLEASE I NEED HELP
Answer:
tan = 12/5..............
A man finished 2/3 of a project in 4 hours working at the same rate how long will it take him to finished 5/6 of the same project
what is twenty and thirty one hundreths in expanded form
and in standard form
Answer:
Standard: 20.3, expanded: 10 x 2, 0.1 x 3
Step-by-step explanation:
Van is studying the effects of an indoor pool
temperature on the number of swimmers. He made
this histogram to display his data.
Which statement is best supported by the data?
A:The pool has the least number of swimmers
O when the temperature is between 71 and
75°F.
B:The temperature of the pool doesn't
influence the numbers of swimmers.
C:The pool has the greatest number of
swimmers when its temperature is between
81 and 85°F.
D:More people swim when the temperature of
the pool is the warmest.
Answer:
The answer is C
Step-by-step explanation:
hope this helps
the sum of 1/2 and 1/5 is between 1/2 and 1 yes or no
Answer:
no
Step-by-step explanation:
12% of what number is 3600?
Answer:
30,000
Step-by-step explanation:
I just counted in my head
Answer:
x = 30,000Step-by-step explanation:
Let's represent the unknown number by x
"of" means multiplication so 12% of the number means 12/100 × x
12% of the number is 3600 so we equate 12/100(x) to 3600 and find x
We have
\( \frac{12}{100} \times x = 3600\)
Multiply both sides by 100 to eliminate the fraction
We have
\(12x = 360000\)
Divide both sides by 12
\( \frac{12x}{12} = \frac{360000}{12} \\ \)
We have the final answer as
x = 30,000Hope this helps you
What is the volume of this figure?
Enter your answer in the box.
ft³
Three-dimensional figure formed by placing two rectangular prisms together to form an L shape where the bottom of the L is on the left and the top of the L extends to the right. The wider part of the L has a width of 3 feet. The other part of the L has a width of 2 feet. The total length of the L is 7 feet, and the length of the narrower part of the L is 6 feet. The height connecting the L shaped bases is 5 feet.
The volume of the three-dimensional figure that forms an L-shape is: volume of the two rectangular prisms.
Volume of Rectangular Prism?Volume = length × width × height
The volume of the figure = volume of both rectangular prisms that formed the L-shape.
To find the volume of the figure, first find the volume of each of the rectangular prisms and add both together.
Therefore, the volume of the three-dimensional figure that forms an L-shape is: volume of the two rectangular prisms.
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Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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Are AB and CD parallel, perpendicular, or neither?*
1. A(-4, 8), B(4, 10), C(1, 1), D(-2, 13)
Answer:
Perpendicular
Step-by-step explanation:
Given
\(A = (-4, 8)\)
\(B = (4, 10)\)
\(C = (1, 1)\)
\(D = (-2, 13)\)
Required
Is AB and CD parallel?
First, we need to calculate the slope (m) of AB and CD
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
For AB:
\(A (x_1,y_1)= (-4, 8)\)
\(B(x_2,y_2) = (4, 10)\)
So:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{10 - 8}{4 - (-4)}\)
\(m = \frac{10 - 8}{4 +4}\)
\(m = \frac{2}{8}\)
\(m = \frac{1}{4}\)
For CD:
\(C(x_1,y_1) = (1, 1)\)
\(D(x_2,y_2) = (-2, 13)\)
So:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{13 - 1}{-2 - 1}\)
\(m = \frac{12}{-3}\)
\(m = -4\)
For Lines to be parallel, the slope must be equal:
i.e. \(m_1 = m_2\)
This condition is not true because:
\(\frac{1}{4} \neq -4\)
For Lines to be perpendicular, the slope must be:
\(m_1 = -\frac{1}{m_2}\)
This implies:
\(\frac{1}{4} = -\frac{1}{-4}\)
\(\frac{1}{4} = \frac{-1}{-4}\)
\(\frac{1}{4} = \frac{1}{4}\)
Hence, the lines are perpendicular
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
Kareem said that four fifths of his age is 16years how old is Kareem?
Answer:
12.8 so about 13
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
4/5 of his age = 16
1/5 of his age = 16/4=4
which means that 5/5 of his age = 16+4 = 20
25. The results of a random survey is displayed in the histogram as shown.
Number
of
Walkers
25
20
15
10
5
0
1-4
Walking Record
5-8
9-12
13-15
16-19
Miles per Week
If this pattern were to hold true to the larger population of 750 people,
how many people would walk 9-12 miles per week?
If the pattern from the survey was to hold for the larger population then the number of people who would walk 9 - 12 miles per week is 150 people.
How to find the number of people ?To find the number of people who would walk 9 - 12 miles per week from the larger population, the formula is:
= Number of people who walk 9 - 12 miles from sample / Number of people in survey x Population of larger populace
Number of people who walk 9 - 12 miles in sample = 15 people
Number of people in survey :
= 5 + 10 + 15 + 20 + 25
= 75 people
The number of people who walked is:
= 15 / 75 x 750
= 0. 2 x 750
= 150 people
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graph the parabola x=1/2(y-2)^2-4. find and graph the vertex, focus, directrix, and focal chord endpoints.
1. Find the graph of the parabola attached below
2. Vertex (-4, 2) Focus (-7/2, 2) Directrix (x = -9/2) Endpoints (-7/2, 1) (-7/2, 3)
How do we find the vertex, focus, directrix, and focal chord endpoints or the parabola?For the parabola, x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,
Vertex → (h, k)
In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴ vertex (-4, 2).
focus → (h, k) = (-4, 2); P = 1/2
Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.
∴ Focus is (-4 + p, 2)
(-4 + 1/2, 2) ⇒ (-7/2, 2)
directrix → x = d
Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.
∴ x = -4 - p ⇒ x = -4 - 1/2
x = 9/2
focal chord endpoints →
The focus of the parabola is (-7/2, 2).
The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.
Therefore, the endpoints of the focal chord are:
(-7/2, 3) and (-7/2, 1).
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HELP PLZ!
Is this graph of a function?
Yes or no