The equation h(t) = − 16t^2 + 19t + 110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.
What is the initial velocity when the rock is thrown?
Determine which ordered pair is a solution of y = x to the power of 2, minus 2. Choices: (5,21), (-5, 24), (-1, -1), (-2, 6)
Answer: Below
Step-by-step explanation:
Y and x can be any number you have to start of with a number for x, you can't put (y,x)^2-2 if you don't know a value
Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will the artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect
Answer:
Step-by-step explanation:
Let the cost of canvas be $x per sq inches.
Measurement of the canvas bought by the artist is
24 × 36 inches
Area of canvas = 24×36= 864 sq inches
Cost of canvas = 864x
New cost of canvas =x+5% of x
=x+0.05x
=1.05x
New Cost of canvas = 907.20x
Increase in price=907.20x-864x=43.2x
Percentage = [tex]\frac{43.2x}{864x}*100[/tex]
= 5%
Hence artist is going save 5% of cost by buying sheet today.
A pizza corner offers a choice of 2 types of pizza bases and 8 types of pizza toppings. How many different single topping pizzas can a customer order?
Write this number in standard notation- (BTW 1/10 means a fraction)
(5 × 10) + (6 × 10) + (7× 1/10) + (3 × 1/10)
A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral
Answer :
The Correct Option is B) Hexagon
Step-by-step explanation :
Let number of sides in a polygon be n
The triangles are created by drawing the diagonals from one vertex to all the others.
Since there is no overlapping of the triangles so no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex would lie on top of the adjacent sides, therefore number of diagonals from a single vertex is three less the the number of sides, or n - 3 and the number of triangles is one more than that, so n - 2.
⇒ Number of triangles = number of sides in polygon - 2
⇒ Number of triangles = n - 2
⇒ n = 4 + 2
⇒ n = 6
And the polygon containing 6 sides is called Hexagon
Hence, the correct Option is B) Hexagon
Answer:
b
Step-by-step explanation:
Can anyone help me please, Not sure if my answers is right. Thanks
Karen has 3 pieces of ribbon that are each 2 3/4 yd long. She also has a piece of lace that is 3 1/5 yd long. Karen needs to cut the lace into 4 pieces that are all the same length to finish a sewing project. How long should each piece of lace be? A. 1 4/5 yd B. 1 1/4 yd C. 11/12 yd D. 4/5 yd
A square garden has a perimeter of 60 yards. If one yard is approximately 0.9 meters, which of the following best represents the area of the garden in square meters?
To find the area of a square garden in square meters given its perimeter in yards, we first determine the side length by dividing the perimeter by 4, then convert this length into meters using the conversion rate, and finally square this metric side length to get the area in square meters.
Explanation:The question you've asked involves calculating the area of a square garden in square meters given its perimeter in yards and a conversion factor between yards and meters. To solve this, we first determine the length of one side of the square garden using the given perimeter. The formula for the perimeter of a square is 4 × side length, so to find the side length, we divide the perimeter by 4. Given a perimeter of 60 yards, the side length is 15 yards.
To convert the side length into meters, we use the conversion factor that 1 yard is approximately 0.9 meters. Therefore, 15 yards × 0.9 meters/yard gives us 13.5 meters. Lastly, to find the area of the garden in square meters, we square the side length in meters, which is 13.5 meters × 13.5 meters = 182.25 square meters. This completes our calculation, showing that the area of the garden is approximately 182.25 square meters.
How many cubic centimeters of water can this paper cone cup hold?
To determine the number of cubic centimeters of water that the paper cone cup can hold, calculate the volume using the formula for the volume of a cone, and then convert it to cubic centimeters.
Explanation:To calculate the number of cubic centimeters of water the paper cone cup can hold, we need to first determine its volume. The volume of a cone can be calculated using the formula V = (1/3) π r² h, where V is the volume, π is the mathematical constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Once we have the volume of the cone, we can convert it to cubic centimeters since the dimensions given are in centimeters. Finally, we can determine the number of cubic centimeters of water the paper cone cup can hold.
For example, if the cone has a radius of 5 cm and a height of 10 cm, the volume would be:
V = (1/3) π (5 cm)² (10 cm)
V = (1/3) π (25 cm²) (10 cm)
V = (1/3) π (250 cm³)
V ≈ 261.79 cm³
Therefore, the paper cone cup can hold approximately 261.79 cubic centimeters of water.
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Which decimal has the greatest value0.0005, 0.5 or 0.05 ?
Which kind of pollution is shown in the image?
A: point source
B: nonpoint source
C: carbon source
D:natural resource
A total of 907 people went to a fishing tournament. Of these people 627 arrived before noon.Alina estimates that fewer than 300 people arrived in the afternoon. How did she estimate?
42.5% of 59.2 is what number?
Karen spends 450 on monthly bills.of this total amount,12% is for phone service,1/10 is internet service,2/9 is for utilities.id the rest of the amount is for food ,how much does Karen have for
when 3 less than the square of a number n is multiplied by 2, the result is 122. if n > 0, what is the value of n?
which expression gives the length of pq in the triangle shown below?
Helpppp plzzz Maddie is packing for a trip. in her closet,there are 3 red, 4 black, 2 green, and 2 yellow blouses. She randomly selects 2 blouses. Find each probability. 1. P(black and yellow) 2. P(green and green
Calculate the probabilities of selecting specific pairs of blouses from Maddie's closet with different colors.
Explanation:1. P(black and yellow):
Number of ways to select 1 black blouse out of 4 black blouses = 4Number of ways to select 1 yellow blouse out of 2 yellow blouses = 2Total number of ways to select 2 blouses out of 11 blouses = 11C2 = 55Therefore, P(black and yellow) = (4/55) * (2/11) = 8/605
2. P(green and green):
Number of ways to select 2 green blouses out of 2 green blouses = 1Total number of ways to select 2 blouses out of 11 blouses = 11C2 = 55Therefore, P(green and green) = (1/55) * (1/11) = 1/605
Since there are 6 faces on a die, there is a 1/6 chance of rolling a die and getting a 5.
7. Two lines that intersect to form right angles are called what? A. Perpendicular lines B. Parallel lines C. Line segments D. Skew lines
The answer to the above question can be explained as -
Perpendicular lines are the lines that intersect each other or meet each other at 90 degrees, thus form a right angle.
The parallel lines are the lines that do not meet each other.
Thus, the answer to -
"Two lines intersect each other to form right angles are called" is - A. Perpendicular Lines.
Perpendicular lines are two lines that intersect each other forming a right angle (90 degrees). They are different from parallel lines (which do not intersect), line segments (parts of a line with two endpoints), and skew lines (non-intersecting and non-parallel lines in different planes).
Explanation:The correct answer is A. Perpendicular lines. Perpendicular lines are two lines that intersect each other at right angles, which means they form a 90-degree angle. This kind of intersection is common in geometry, and you will encounter it frequently in your studies. This contrasts with parallel lines, which do not intersect at all, and line segments, which are parts of a line with two endpoints. Skew lines are lines that do not intersect and are not parallel, usually because they exist in different planes.
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When Sally went bowling her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an average of 91?
To achieve an average score of 91, Sally needs to bowl an 89 in her fourth game, calculated by subtracting her current total score of 275 from the desired total of 364 points.
To calculate the score Sally needs in her fourth game to achieve an average of 91, we first need to determine the total points she needs after four games. We can calculate the required total points by multiplying the desired average score by the number of games:
91 × 4 = 364 total points
Next, we add up the scores from Sally's first three games:
108 + 72 + 95 = 275 points
Finally, we subtract the sum of her first three games from the total required points to find the score Sally needs in her fourth game:
364 - 275 = 89 points
Therefore, Sally needs to bowl a score of 89 in her fourth game to achieve an average of 91.
What is the size of the obtuse angle CBA
Answer:
[tex]m<CBA=102\°[/tex]
Step-by-step explanation:
we know that
The internal angle of an equilateral triangle is equal to [tex]60\°[/tex]
The internal angle of a square is equal to [tex]90\°[/tex]
To find the internal angle of a regular pentagon, apply the formula
[tex]S=[(n-2)180\°]/n[/tex]
where
n is the number of sides (n=5)
substitute
[tex]S=[(5-2)180\°]/5=108\°[/tex]
therefore
In this problem
[tex]m<CBA+60\°+90\°+108\°=360\°[/tex]
[tex]m<CBA+258\°=360\°[/tex]
[tex]m<CBA=360\°-258\°=102\°[/tex]
find measure of side AB round to nearest tenth
Lavender rolled a number cube 90 times. the outcome of the number 6 occurred 18 times. Compare the theoretical to the experimental probability of rolling the number 6.
By comparing the theoretical probability of 1/6 with the experimental probability of 1/5, one can see that the experimental probability is one that is slightly higher.
What is the outcome of the numberBased on the question, to compare the theoretical and experimental probabilities of rolling the number 6, one have to calculate both probabilities.
The theoretical probability is seen as the expected probability according to the assumption of a fair six-sided number cube.
Based on the fact that there are six equally likely outcomes (numbers 1 to 6) on the cube, the theoretical probability of rolling a 6 is 1/6.
So, the experimental probability is based on the actual outcomes observed in Lavender's 90 rolls.
According to the given information:
Lavender rolled the cube 90 times and got the outcome of 6 in 18 of those rolls.
So: Experimental probability = Number of successful outcomes / Total number of outcomes
= 18 / 90
= 1/5
Hence, the experimental probability of rolling the number 6 is 1/5.
Since the experimental probability is slightly higher, one can say that it could be as a result of random variation or a biased number cube.
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Les drew the number line shown to add 2.5 + (–25). He says the sum is 22.5.
Which is a correct description of his work?
A. His number line is correct, and the correct sum is 22.5.
B. Les should have started at 0, moved right to 2.5, and then moved left to –25. The correct sum is –23.5.
C. Les should have started at 0, moved right to 2.5, and then moved left 25 units. The correct sum is –22.5.
D. The correct sum is 22.5, but his number line is incorrect. Les should have started at 0, moved left to –2.5, and then moved right 25 units.
Answer:
Answer = c
Step-by-step explanation:
10 points! Please Help! ASAP!!
Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:
What set of transformations is performed on ABCD to form A′B′C′D′?
A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
B translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin
C 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
D translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin
find the interquartile range for the data set: 10,3,8,6,9,12,13
Answer:
The interquartile range would be 6.
Step-by-step explanation:
3, 6, 8, 9, 10, 12, 13,
Median: 9
Lower quartile (Q1): 6
Upper quartile (Q2): 12
(IQR) Interquartile Range: 12 - 6 = 6
The interquartile range for the data set is, 6
We have to given that,
The data set is,
⇒ 10,3,8,6,9,12,13
We can arrange data set in ascending order,
⇒ 3, 6, 8, 9, 10, 12, 13
Hence, First quartile (Q₁) = 6
Second quartile (Q₃) = 12
Hence, The interquartile range for the data set is,
Interquartile range = 12 - 6
Interquartile range = 6
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Find the slope of the line through the points (4,8), and (5,10).
A.) - 1/2
B.) 1/2
C.) 2
D.) -2
C
(y2-y1)/(X2-X1)
(10-8)/(5-4)
=2
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Image 1. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?
Image 2. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?
A nurse has an annual income of $48,752 the income taxes to 20% rate what is the amount of the nurses income tax in dollars and cents