At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.
Answer:
Step-by-step explanation:
they will sprint 75 yard in total
Answer:
1870
Step-by-step explanation:
10 x 2 = 20
25 x 2 = 50
50 x 2 = 100
20 + 50 + 100 = 170
170 x 11 = 1870
I cried over this problem so you dont have to :)
-2/9 x² -1/9 x² (expanding expressions)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(-2/9)x² - (1/9)x²
Taking out the common.
(-1/9) (2x² + x²)
Adding the like terms.
(-1/9)3x²
-1/9 x (3x²)
(-1/3)x²
Thus,
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
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Help me on this math problem pls
The quadratic inequality that will represent the parabola will be
y ≤ 2[tex]x^{2}[/tex] - 8x + 3
The given graph is a parabola where the mouth is open upwards. So from here we can clearly say that the coefficient of [tex]x^{2}[/tex] will be positive.
The vertex of the parabola is given as (2 , -5) in the graph.
So let us put value of x in the inequations given to us.
first option is
y ≤ 2[tex]x^{2}[/tex] - 8x + 3
y ≤ 2*[tex]2^{2}[/tex] - 8*2 + 3
y ≤ 8 - 16 + 3
y ≤ -5
Therefore the quadratic inequality that will represent the parabola will be
y ≤ 2[tex]x^{2}[/tex] - 8x + 3
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Carly works 6 hours each day for 4 days a week
she earns £360 each week
How much does Carly earn each hour
Answer:
the answer is £15
Step-by-step explanation:
Carly works 6 hours for four days 6x4= 24
so she worked for 24 hours we know that she makes £360 per week.
so we divide 360 by 24 which gives us the total of
£15 per hour
Simplify. (x+1)+(x-2)(x+3)
show all work
Use the power of a power property to select each correct way to rewrite the expression x15
The correct way by using the power of a power property we can write as;
⇒ x¹⁵ = (x³)⁵
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x¹⁵
Now,
Since, The expression is,
⇒ x¹⁵
We can write the expression as by using the power of a power property as;
⇒ x¹⁵ = (x³)⁵
Thus, The correct way by using the power of a power property we can write as;
⇒ x¹⁵ = (x³)⁵
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Williams and Co. is spliting their stock at a ratio of 3:1. The pre-split price is $43.25 and the pre-split number of shares is 2.5 million. What is their Total pre-split Market Capitalization?
Total pre-split Market Capitalization is $1,08,125,000.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
Williams and Co. is splitting their stock at a ratio of 3:1. The pre-split price is $43.25 and the pre-split number of shares is 2.5 million.
Total Value of Shares = $43.25 Share Price × 2.5 × 10⁶ Shares
Total Value of Shares = $1,08,125,000
Let’s say the company’s board decides to approve a 3-for-1 split.
Total Shares = 2.5 × 10⁶ × 3 = 75,00,000
Share Price = $43.25 ÷ 3 = $14.416
Total Value of Shares = $14.416 Share Price × 75,00,000 Shares
Apply the multiplication operation,
Total Value of Shares = $1,08,120,000
Thus, the total pre-split Market Capitalization is $1,08,125,000.
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a pole that is 3.2m tall casts a shadow that is 1.6m long. at the same time, a nearby building casts a shadow that is 47.75m long. how tall is the building? round your answer to the nearest meter.
The height of building has shadow 47.75m long is 95.5m
What is the angle of elevation?The angle of elevation is defined as the angle which is formed by angle between horizontal line of sight and object.
According to given data:let the height of building be h. we have given height of another building is 3.2m and shadow is 1.6m long.
we know that
tan(∅) = perpendicular/base = 3.2/1.6 =2
As question says at same time, another building of height h and shadow is 47.75m long.then angle will be same.
⇒ tan(∅) = perpendicular/base = h/47.75
⇒ h/47.75 = 2
⇒ h = 2(47.75) = 95.5m
Thus, required height of building is 95.5.
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26. Use Patterns and Structure
Amoli says you should use
the Distributive Property to
multiply the two expressions.
Yuji says you should use the
Associative Property. Who is
correct? Explain
(125+y) 1/2y
Amoli is Correct, where distributive property is used to multiply two expressions.
What is Distributive property?
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
What is Associative property?
A mathematical principle known as the associative property states that grouping the factors in a multiplication problem does not affect the solution.
Step-by-step explanation:
According to distributive property:
= (125 * (1/2y)) +( y * (1/2y))
= 125/2y + 1/2
Here, Associative property does not held.
Hence, Distributive property should be used.
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What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation of the line in the slope intercept form is y = (-1/2)x + 60
From the given graph,
Choose two points
(0, 60) and (40, 40)
The slope of the line the change in y coordinates with respect to the change in x coordinate of the function
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the value in the equation
= [tex]\frac{40-60}{40-0}[/tex]
= -20/40
= -1/2
From the graph we can say that,
y intercept of the line = 60
The slope intercept form is
y = mx + b
where m is the slope of the line
b is the y intercept
y = (-1/2)x + 60
Hence, the equation of the line in the slope intercept form is y = (-1/2)x + 60
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Using the quadratic formula to solve 11x2 - 4x = 1, what are the values of x?
√15
11
ㅇ
0
ㅇ
77+2√15
11
11
Answer:
x=2/11 + (1/11) (√15) or 2/11 - (1/11) (√15)
Step-by-step explanation:
Plug it into the quadratic formula
The values of x are 9/11 and -5/11.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To use the quadratic formula to solve 11x² - 4x = 1.
We first need to rewrite the equation in the form ax² + bx + c = 0.
So,
11x² - 4x - 1 = 0
Now,
We can use the quadratic formula, which states that the solutions for the equation ax² + bx + c = 0.
x = (-b ± √(b² - 4ac)) / 2a
Now,
In our case,
a = 11, b = -4, and c = -1.
Substituting these values into the formula, we get:
x = (-(-4) ± √((-4)² - 4(11)(-1))) / 2(11)
x = (4 ± √(196)) / 22
x = (4 ± 14) / 22
So,
The solutions for the equation 11x² - 4x = 1
x = (4 + 14) / 22 = 9/11
x = (4 - 14) / 22 = -5/11
Therefore,
The values of x are 9/11 and -5/11.
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A spinner with 9 equal sections is numbered 1 through 9. the probability of spinning an even number is 49. what is the probability of not spinning an even number? enter your answer as a fraction, in simplest form, in the box.
Answer:
5/9
Step-by-step explanation:
The result of a spin is either an odd number or an even number. The two outcomes are complements.
If the probability of getting an odd number is 4/9, the probability of getting an even number is 1 - 4/9 = 5/9.
To find out the y-intercept of the line that is
parallel to y = 0.5x - 2, what should you do?
Since the parallel line goes through the point (3,
0) substitute 3 for x and 0 for y and solve for b,
the y-intercept.
You cannot solve it because you do not know
what x and y are for the parallel line.
Since the parallel line goes through the point (3,
0) substitute 0 for x and 3 for y and solve for b,
the y-intercept.
You cannot solve it because you do not know what x and y are for the parallel line. which is the correct answer would be option (B).
We have to find out the y-intercept of the line that is parallel to y = 0.5x - 2,
As per the given options,
Since the parallel line goes through point (3, 0) substitute 3 for x and 0 for y and solves for b, the y-intercept.
This is not the correct answer.
You cannot solve it because you do not know what x and y are for the parallel line.
This is the correct answer.
Since the parallel line goes through the point (3, 0) substitute 0 for x and 3 for y and solve for b, the y-intercept.
This is not the correct answer.
Therefore, You can't solve it since you don't know what the parallel line's x and y coordinates are.
Hence, the correct answer would be option (B).
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What does 1.03 estimate to math
Answer:
provide context
Step-by-step explanation:
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds
Do You UNDERSTA
D?
1.? ESSENTIAL QUESTION Why is identifying
the domain and range important when
defining a function?
The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper. What is the area of the circle on the paper? Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
The area of the circle on the paper is 4.5 cm when traced around the edge of the quarter on a sheet of paper.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper.
The area of the circle on the paper = πr²
Here r = (diameter of a quarter)/2 = 2.4/2 = 1.2 cm
The area of the circle on the paper = π(1.2)²
The area of the circle on the paper = π × 1.44
The area of the circle on the paper = 4.5238
Round the answer to the nearest tenth.
The area of the circle on the paper = 4.5 cm
Thus, the area of the circle on the paper is 4.5 cm
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Answer:its 4.5
Step-by-step explanation:
HELP!!!!!
A state offers specialty license plates that contain 3 letters followed by 2 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
17,576,000 possible license plates
1,757,600 possible license plates
36 possible license plates
98 possible license plates
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
Given that, a state offers specialty license plates that contain 3 letters followed by 2 numbers.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
The number of possible license plates
= 26×26×26×10×10
= 1757600
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
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There are 150 students in the marching band , and 30 of them play trumpet . Which number line represents the percent of the students in the marching band who play trumpet
By using the rule of 3 we wills ee that the percentage of students who play the trumpet is 20%
How to get the percentage of students who play the trumpet?We know that there are 150 students in the marching band, that will be our 100% in this case, and we know that 30 of them play the trumpet.
These 30 students represent a percentage X that we want to find, so we can write a little system of equations and use the rule of 3.
30 = X
150 = 100%
Taking the quotient between the two equations we get:
(30/150) = X/100%
Solving for X we get:
(30/150)*100% = X = 20%
So we can say that 20% of the students play the trumpet.
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please help!!!!!!!!!!!!!!!
Step-by-step explanation:
the picture is very blurry.
I understand we need the y-intercept in every case and then move the pictures into the empty frames based on sorting these numbers from lowest to highest.
the y-intercept is the point, where a function/curve intersects the y-axis.
in other words, it is the y-value of the point, where x = 0.
so,
1. 0
2. -6
3. looks like -2 (again, very blurry)
4. looks like +2
5. +6
6. +4
sorting these gives us
2. -6 3. -2 1. 0 4. +2 6. +4 5. +6
therefore the 6 frames need to receive the original pictures in that sequence.
nevaeh and michael are helping their friend nabhitha move. if nevaeh can move 6 boxes for every 24 boxes that michael moves, then how many boxes can michael move for every box that nevaeh moves? what is the enter
Answer:
Step-by-step explanation: I think it could be 5,0000
PLS HELPP TYSM I NEED HELP ASAPPPP
Answer:
x = 7
Step-by-step explanation:
(10x+30)° and (17x-19)° are
EQUAL TO EACH OTHER
10x+30 = 17x-19
7x = 49
x = 7
desmos
7
Oliver makes a plan to be healthier, starting with exercising more often. He signs up for a karate class, thinking this will be a cool way to get active.After three weeks, Oliver finds himself dreading karate class. He would much rather stay home and play RPG with his friends. Since Oliver has already made the decision, what is the BEST path for him to take?
It a because i told the tese
Multiply and simply: (4 - 3i) (2 + i)
Answer:
11 - 2i
Step-by-step explanation:
Given expression:
[tex](4-3i)(2+i)[/tex]
Expand:
[tex]\implies 4(2+i)-3i(2+i)[/tex]
[tex]\implies 8+4i-6i-3i^2[/tex]
[tex]\implies 8-2i-3i^2[/tex]
Apply the imaginary number rule i² = -1 :
[tex]\implies 8-2i-3(-1)[/tex]
Simplify:
[tex]\implies 8-2i+3[/tex]
[tex]\implies 11-2i[/tex]
Step-by-step explanation:
well, when 2 summed teens are multiplied, every part of one term is multiplied with every part of the other term :
(4 - 3i)(2 + i) = 8 + 4i - 6i - 3i² = 8 - 2i + 3 = 11 - 2i
What is the value of z? (The figure May not be drawn to scale.)
The value of z is given by (b) z = 63.
According to Angle Sum Property, the sum of interior angles of a triangle is 180 degree.
So for left hand triangle, interior angles are 31, 61 and x. So,
31 + 61 + x = 180
92 + x = 180
x = 180-92
x = 88
Now x and y are the linear angles so their sum is 180 degree too.
x + y = 180
88 + y = 180
y = 180-88 = 92
Again for right hand triangle the interior angles are 25, y, z. So again by Angle Sum Property,
25 + y + z = 180
25 + 92 + z = 180
117 + z = 180
z = 180-117 = 63
Hence the value of z is 63.
So the correct option is (b).
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On a coordinate plane, a parabola opens up. It goes through (negative 7, 5), has a vertex at (negative 4, negative 4), and goes through (negative 1, 5).
The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
The vertex is the maximum value.
The axis of symmetry is x = –4.
The domain is all real numbers.
The range is all real numbers.
The function is increasing over (–∞, –4).
The x-intercepts are at (–6, 0) and (–2, 0).
Answer:
B: The axis of symmetry is x + -4.
C: The domain is all real numbers.
F: The x-intercepts are at (-6, 0) and (-2, 0).
Step-by-step explanation:
worked on edge 2022
The answer is the First, Third, and Last
Johnny has 8 pears, 5 apples, and 3 oranges. Draw a model to show the ratio of oranges to pears.
What is the equation of the line in slope-intercept form?
Answer:
4x+3y=12
Step-by-step explanation:
y=mx+b
m=-4/3,b=4
y=mx+b
y=-4/3x+4
3(y=-4/3x+4)
3y=-4x+12
4x+3y=12
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If the shared side between angles 1 and 2 has a measure of 2×+9 and the shared side between angles 3 and 4 has a measure of 9x+1, what is the value of X? Round your answer to the nearest hundredth.
Answer:
x = 1.14---------------------------
Given figure is a parallelogram since opposite sides are parallel.
Therefore the sides between angles 1 & 2 and 3 & 4 are of equal length:
2x + 9 = 9x + 19x - 2x = 9 - 17x = 8x = 8/7x = 1.14what are some integers whose product is negative?
The examples of some integers whose product is negative include:
-4 × 3 = -12
10 × (-2) = -20
What is an integer?An integer is a number that has no decimal or fractional part and can be negative or positive, including zero.
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
Integer examples include -5, 1, 5, 8, 97, and 3,043. Numbers that are not integers include: -1.43, 1 3/4, 3.14, and
In this case, the example has been given above. It should be noted that the product of a negative and positive number is a negative number.
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