Answer:
Option C is the correct answer
C) 150 m
Step-by-step explanation:
Speed = Distance ÷ Time
Distance = Speed × Time
d = 10 × 15
d = 150 m
Thus, The speed of the object is 150 m.
Answer:
d=150m
Step-by-step explanation:
Speed = Distance /Time
10= d/155
d= 150m
Bill jumps off a diving board that is 12 feet above the surface of a swimming pool. Jumping upward and outward, he reaches a maximum height of 18 feet above the surface of the water when he has jumped outward 4 feet. Find f(x) an equation for his parabolic path and when he hits the water, how far out as he reached, to the nearest tenth of a foot.
The equation of the parabola is y = -0.25(x - 4)² + 16 and he reaches 12 feet outwards when he hits the water
How to determine the equation of the parabola?From the question, we have the following parameters that can be used in our computation:
Initial position = 12 feet above the surface
Maximum height = 18 feet at 4 feet outward
These parameters mean that
(h, k) = (4, 16) -- vertex
(x, y) = (0, 12)
A parabola is represented as
y = a(x - h)² + k
So, we have
y = a(x - 4)² + 16
Also, we have
12 = a(0 - 4)² + 16
This gives
12 = 16a + 16
So, we have
16a = -4
Divide
a = -0.25
Substitute a = -0.25 in y = a(x - 4)² + 16
y = -0.25(x - 4)² + 16
When it hits water, y = 0
So, we have
-0.25(x - 4)² + 16 = 0
This gives
0.25(x - 4)² = 16
So, we have
(x - 4)² = 64
Take square roots
x - 4 = 8
So, we have
x = 12
Hence, it is 12 feet outwards
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The school is having a fundraiser where each rose sold makes $1.25 in profit.
The school has to pay a flat shipping
cost of 50. How many roses must be
sold to earn a profit of $1000?
Answer: 800
Step-by-step explanation: 1.25$ x 800 is 1000
Answer:
840
Step-by-step explanation:
$1000+$50=$1050
$1050/$1.25=840
Answer=840
908 × 65 please help me with this question
Answer:
Step-by-step explanation:
59,020
2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?
3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62
If ∠ and ∠ are supplementary
angles, what is the measure of ∠?
4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of .
Each part of the question is answered above and the angles are given below.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.Given are the angles as mentioned in the question.
[1] -
Since, angle [1] and angle [4] are vertically opposite angles, we can write-
3x + 14 = 5x - 52
14 + 52 = 5x - 3x
2x = 66
x = 33
∠1 = 3x + 14 = 3 x 33 + 14 = 99 + 14 = 113°
∠1 = 113°
[2] -
Since, angle [A] and angle [B] are supplementary angles, we can write-
(3x + 8) + {(2/3)x + 62} = 180
3x + 8 + 62 + (2/3)x = 180
3x + (2/3)x = 110
x{3 + 2/3} = 110
x{(9 + 2)/3} = 110
(11/3)x = 110
x = (110 x 3)/11
x = 30
∠A = 3x + 8 = 3 x 30 + 8 = 98°
∠A = 98°
∠A = (2/3)x + 62 = 2/3 x 30 + 62 = 82°
∠B = 82°
[3] -
Since, angle [2] and angle [3] are vertically opposite angles, we can write -
13x + 27 = 9x + 59
13x - 9x = 59 - 27
4x = 32
x = 8
∠2 = 13x + 27 = 13 x 8 + 27 = 104 + 27 = 131°
∠2 = 131°
∠3 = 9x + 59 = 9 x 8 + 59 = 72 + 59 = 131°
∠3 = 131°
Therefore, each part of the question is answered above and the angles are given above.
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Identify the measure of angle EHF:
Answer:
63
Step-by-step explanation:
h=90
90-27=63
Translate a point (x,y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinates of the point after the translations?
Answer:
[tex](x+2, y+7)[/tex]
Step-by-step explanation:
[tex](x,y) \longrightarrow (x-3, y+5) \longrightarrow (x+2, y+7)[/tex]
PLEASE HELP I NEED IT ASAP
1. The line parallel to y=2/3x+1
that passes through the point (3, 6)
The equation of the line is y = (2/3)x + 4
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line.
y = m(1)x + c
The line is parallel to y = (2/3)x + 1
It is in the form of y = m(2)x + c
This means,
m(1) = m(2)
m(1) = 2/3
Now,
The line passes through the point (3, 6).
(3, 6) = (x, y)
y = mx + c
6 = (2/3)3 + c
6 = 2 + c
c = 6 - 2
c = 4
The equation of the line.
y = (2/3)x + 4
Thus,
The equation of the line is y = (2/3)x + 4
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Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 51 Direction u = ⟨-8,15
The vector [v] whose direction is same as that of vector [u] is given as -
[v] = -24i + 45j.
What is an expression? What is a expression? What is a mathematical equation? What is vector?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A vector quantity is a quantity that has both magnitude and direction.
We have the a vector [v] with the given magnitude and the same direction as u.
We can write vector [u] as -
[u] = - 8i + 15j
Unit vector {u} along vector [u] -
{u} = [u] / |u|
{u} = (- 8i + 15j)/17
We can write vector [v] as -
[v] = 51 x (- 8i + 15j)/17
[v] = 3(- 8i + 15j)
[v] = -24i + 45j
Therefore, the vector [v] is given by [v] = - 24i + 45j.
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5. Lenore had a coupon
for 50 cents off each box
of cookies. She bought two
boxes that were $4.50
each and 4 cans of soup.
If her total bill was $16.00,
how much were the cans
of soup?
Answer: $8 for 4 cans of soup!
Step-by-step explanation:
We know that a box is $4.50 each, but Lenore had a coupon off 50 cents each, so the price of the box is $4
Lenore bought 2 box
4 times 2 = $8
16 - 8 =8
So the 4 cans of soup cost is $8 or $2 each can of soup
The functions f(x) = x and h(x) = f(x + 7) are graphed on the same coordinate grid. Which
statement below is true? (select one)
a. The graph of f is steeper than the graph of h.
b. The graph of h is steeper than the graph of f.
C. To create h, f is translated 7 units to the right.
d. To create h, f is translated 7 units to the left.
Answer: d.
Step-by-step explanation:
To create h, f is translated seven units to the left.
What additional information could you use to show that δstu ≅ δvtu using sas? check all that apply. uv = 14 ft and m∠tuv = 45° tu = 26 ft m∠stu = 37° and m∠vtu = 37° st = 20 ft, uv = 14 ft, and m∠ust = 98° m∠ust = 98° and m ∠tuv = 45°
Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees by using congruence of triangles.
What is congruence triangle?Two triangles are congruent if their corresponding sides are the same length and their corresponding angles are the same size.
What exactly is SAS congruence?According to the SAS criterion for triangle congruence, two triangles are congruent if they have two pairs of congruent sides and the included angle (the one between the congruent sides) in one triangle is congruent to the included angle in the other triangle.
Given
See the attachment for the triangle.
What evidence do you have?
SAS is used by STU and VTU.
To demonstrate their resemblance, we must examine the corresponding sides and angles of both triangles.
To begin, UST must equal UVT.
As a result, UST=UVT=98⁰.
Then, UV must equal US.
So:
UV = US = 14⁰
Furthermore, ST must equal VT.
So:
Furthermore, ST must equal VT.
As a result, ST = VT = 200.
Finally, TUV must be equal to TUS.
So: TUV = TUS = 450
Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees.
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Which description of a figure and its image match the transformation described by (x,y) → (-x+1,y+1)
Answer:
the figue which is translated one unit up and one unit to the right
Step-by-step explanation:
Lyme disease is an infection caused by bacteria. A test for Lyme disease may be affected by other medications and medical conditions. The testing results are summarized in the table.
Tested positive Tested negative Row Totals
Has Lyme disease 53% 17% 70%
Does not have Lyme disease12% 18% 30%
Column Totals 65% 35% 100%
What percentage of all patients who took the test had a true negative result?
35%
30%
18%
12%
Answer:
its 12%
Step-by-step explanation:
i took the test and got it right
Answer: 17%
Step-by-step explanation:
Help with question 13
The amount of stock that is wasted is given as follows:
1 - 21/64 inches.
How to obtain the amount of stock wasted?The total amount of stock is given as follows:
9 - 7/16 inches long = 144/16 - 7/16 = 137/16 inches long.
The total amount of stock used for the two punches is given by the sum of the two amounts, as follows:
4 - 1/64 + 4 - 3/32 = 8 - 7/64 = 505/64
Then the amount wasted is given by the subtraction of the total amount by the amount used, as follows:
137/16 - 505/64 = 548/64 - 505/64 = 43/64.
The decimal of this is of:
43/64 = 0.671875.
Hence the amount wasted is of:
1 - 43/64 = 64/64 - 43/64 = 21/64
Meaning that the third option is correct.
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Edgar wants to get ice cream for dessert. He looks up the prices at The Ice Cream Factory and Main Street Scoops. The Ice Cream Factory charges $1.75 per scoop and a $0.75 fee for unlimited toppings. Main Street Scoops charges $2 per scoop and a $0.25 fee for unlimited toppings. Which inequality can be used to find when Main Street Scoops would be the cheaper option?
A. 1.75x + 0.75 < 2x + 0.25
B. 1.75x + 0.75 > 2x + 0.25
C. 1.85 + 0.75x < 2 + 0.25x
D. 1.75x + 0.75 ≥ 2x + 0.25
1.75x + 0.75 < 2x + 0.25 inequality can be used to find when Main Street Scoops would be the cheaper option.
How do you explain inequality?The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.Related ideas include lifetime inequality (the distribution of incomes over a person's lifetime), inequality of wealth (the distribution of wealth across households or individuals at a particular point in time), and inequality of opportunity (the effects on income of factors that people cannot control, like.1.75x + 0.75 < 2x + 0.25 inequality can be used to find when Main Street Scoops would be the cheaper option.
1.75x + 0.75 < 2x + 0.25
1.75x + 0.75 -0.75 < 2x + 0.25 -0.75.
x< - 0.0068
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A set of magical wand prices are normally distributed with a mean of 505050 dollars and a standard deviation of 444 dollars. A blackthorn wand has a price of 45. 2045. 2045, point, 20 dollars. What proportion of wand prices are lower than the price of the blackthorn wand?.
The proportion of wand prices as per normal distribution are lower than the price of the blackthorn wand is equal to 0.1151.
As given in the question,
Mean of the set of magical wand price 'μ' = 50dollars
Standard deviation 'σ' for normal distribution = 4 dollars
Price of blackthorn wand 'X' = 45.20 dollars
z-score = (x - μ)/σ
Proportion of wand prices be 'x'
P(x < X)
=P( x< 45.20)
=P [(x - μ)/σ < (X - μ )/σ]
=P[ z < (45.20 - 50)/4]
=P( z < -1.2 )
= 0.11507
=0.1151
Therefore, the proportion of the wand prices which are lower than the price of blackthorn wand using normal distribution is equal to 0.1151.
The complete question is:
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthor wand has a price of 45.20 dollars. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places.
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How many inches are in 32 yards?
Answer:
1152
why cant you bing it?
Ann work in a upermarket for $10. 00 an hour. If her pay i increaed to $12. 00, then what i her percent increae in pay?
Her pay will increase by 20% as a result of the percentage being the difference from the original.
What is Percentage ?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 78% grade if you answered 78 of 100 questions correctly on a test (78/100).
According to the given Information
Another name for the percentage is the signifying hundredths. As a result, 2% is equal to two hundredths, or 2%=2/100=0.02.
According to what has been stated,
Original price: $10
Pay increase = $12
% growth = (10 x 100 - (12 - 10))
⇒ 20%
Hence
Her pay will increase by 20% as a result of the percentage being the difference from the original.
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Is the coordinates of a point are 3 and 4?
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
I need help with this question
Answer:b
Step-by-step explanation:
How do you get 1/2 of a number?
Answer: to get 1/2 of a number, simply divide it by 2
Step-by-step explanation: the denominator, or the second digit after the numerator, is the one you use to divide a number. for example 1/3 of 33 = 11, as you divide 33 by 3, or 1/2 of 500 = 250.
Which of these relations is a function?
last question!!!!!!!!
Answer: the top left is a function
Liam has a points card for a movie theater.
• He receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine , the number of visits
Liam can make to earn his first free movie ticket.
Answer:
x >= 9.
Step-by-step explanation:
To earn a free movie ticket, Liam needs at least 160 points. He already has 50 points from signing up, so he needs 160 - 50 = <<160-50=110>>110 more points.
Each visit to the movie theater earns Liam 12.5 points, so the inequality representing the number of visits he needs to make is:
12.5 * x >= 110
To solve this inequality, we need to divide both sides by 12.5:
12.5 * x / 12.5 >= 110 / 12.5
This simplifies to:
x >= 8.8
Thus, Liam needs to make at least 9 visits to the movie theater to earn his first free movie ticket.
Therefore, the solution to the inequality is x >= 9.
Answer:
9 visits
Step-by-step explanation:
12.5 x 9 = 112.5
112.5 + 50 = 162.5
hurry please!! - question on attached image
Answer:
the answer is y=2x+3 hope this helps
in last 20 years, 238 couples have divorced out of a random sample of 500 couples in a certain city. find a 95% confidence interval for the rate of couples who divorced in that city. find the upper bound of the confidence interval (round off to second decimal place).
The upper bound of the confidence interval is 0.52
What is confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
Out of 500 couples in a given city, 238 couples had divorced in the past 20 years. As a result, the sample proportion is calculated as follows:
[tex]P=238/500 = 0.476[/tex]
As a result, the following 95% confidence interval is calculated for the city's divorce rate: [tex]P +(Z_{a}*(\sqrt{\frac{P(1-P)}{y} } )[/tex]
[tex]Z_{a}= 1.96[/tex]
the upper bound of confidence interval = 0.0438 + 0.476
= 0.52
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What is the meaning of infinitives example?
Meaning of infinitive generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.
Explanation:
Meaning of infinitive :
Infinitive generally represents the some action or the purpose of the given word.Example of infinitive representing action is:
They will lock the front gate to prevent the house from theft.
To prevent represent the action.
As subject of the sentence.Example: To swim in the deep lake may be dangerous for a person.
As direct object :Example : i like to read in Sanskrit.
As an adverb infinitiveExample : I can't wait to eat.
Therefore, infinitive meaning generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.
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Interest Earned over One Year
Answer: $300,000
Step-by-step explanation:
Lauren and Hazel's families provide money for their school lunch accounts. Hazel starts with $200 in her account. She spends $30 each week on lunches. Lauren starts with $50 in her account and does not spend any of it. Her family adds $20 each week to her account. Write an equation to represent how much money (y) Hazel has in her account after a number of weeks (x).
Help please.................
The solution to the expression ( √7 - √2 )² will be - 9 - 2√14. The value of the second part is 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is ( √7 - √2 )². The expression will be solved as below,
E = ( √7 - √2 )²
E = (√7)² + (√2)² - 2 x √7 x √2
E = 7 + 2 - 2√14
E = 9 - 2√14
The second part will be calculated as,
2/5√(25x3)+(2-√(2x2x6)
2/5 x 5√3 + 2 - 2√3
2√3 + 2 - 2√3
2
The value of the third part will be calculated as,
[tex]\dfrac{(2+\sqrt{2})(\sqrt(10-\sqrt{5}}{(15-10\sqrt{2}}[/tex]
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