Explain how stroke is caused by substance abuse
Answer:
Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.
Step-by-step explanation:
Ray-Ann bounces a basketball to Steve as shown in the diagram below. What is the
distance between Ray-Ann and Steve? Round your answer to the nearest tenth of a
foot. Enter deg after any degree value.
7 ft
124°
6 ft
The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:
11.5 feet.
What is the law of cosines?The law of cosines states that we can find the length of the missing side c of a triangle as follows:
c² = a² + b² - 2abcos(C)
The parameters of the equation are given as follows:
C is the opposite angle to the missing side C.a and b are the sides that are adjacent to the angle C.In the context of this problem, the values of these parameters are given as follows:
C = 124º.a = 6 ft, b = 7 ft.Hence the distance between Ray-Ann and Steve is obtained as follows:
c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º
c² = 132
c = square root of 132
c = 11.5 feet.
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Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
The statements that are true are:
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Options A, B, D, E, and F.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Clayton could use the relationship (x, y) → (y, x) to find the points of the image.
This is the y = x reflection rule.
This is true.
Clayton could negate both the x and y values in the points to find the points of the image.
Reflection of (x, y) along the x-axis and y-axis consecutively will give us
(-x, -y).
This is true.
C’ will remain in the same location as C because it is on the line of reflection.
This is not true.
C’ will move because all points move in a reflection.
This is true.
The image and the pre-image will be congruent triangles.
This is true.
The image and pre-image will not have the same orientation because reflections flip figures.
This is true.
Thus,
All statements are true except the statement:
C’ will remain in the same location as C because it is on the line of reflection.
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WXYZ is a quadrilateral graphed in the coordinate plane with vertices W(0,5),X(-3,2), Y(0,-4), and Z(3,2). What are the lengths of the sides of the quadrilateral, and what is the correct name for the figure?
Given: WXYZ is a quadrilateral graphed in the coordinate plane with vertices W(0,5), X(-3,2), Y(0,-4), and Z(3,2).
Required: To determine the side length and type of quadrilateral.
Explanation: The distance between two points is given by the formula-
\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)The length of side WX is-
\(D=\sqrt{(-3-0)^2+(2-5)^2}\)Further solving as-
\(\begin{gathered} D=\sqrt{9+9} \\ D=3\sqrt{2}\text{ units} \\ D=4.24\text{ units} \end{gathered}\)Similarly, the side length XY is-
\(\begin{gathered} D=\sqrt{(0+3)^2+(-4-2)^2} \\ D=\sqrt{45} \\ D=6.71\text{ units} \end{gathered}\)And, the side length YZ is-
\(\begin{gathered} D=\sqrt{(3-0)^2+(2+4)^2} \\ D=\sqrt{45} \\ D=6.71\text{ units} \end{gathered}\)Finally, the side length WZ is-
\(\begin{gathered} D=\sqrt{(3-0)^2+(2-5)^2} \\ D=3\sqrt{2} \\ D=4.24\text{ units} \end{gathered}\)Now, since the adjacent sides of the quadrilateral WXYZ are equal, the quadrilateral is a Kite.
Final Answer:
The length of side WX=4.24 units.
The length of side XY=6.71 units.
The length of side YZ=6.71 units.
The length of side ZW=4.24 units.
The best name for this quadrilateral is Kite.
When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
Use the graph to determine a. open intervals on which the function is increasing, if any. b. open intervals on which the function is decreasing, if any. c. open intervals on which the function is constant, if any.
An open interval refers to an interval that is exclusive of its endpoints.
The graph decreases at (-4,1)The graph does not have an increasing intervalThe graph does not have a constant intervalFrom the graph, we have the following observations
The graph represents a linear equationThe direction of the straight line on the graph implies that, the graph has a negative slopeA linear equation can only have an increasing interval or a decreasing interval; it can never have both intervals at the same time, and it can never have a constant interval
Because the slope is negative, then the interval is a decreasing interval.
The endpoints of x on the graph are: -4 and 1
Hence, the open interval on which the function increases is: (-4, 1)
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1.22 ___ 1.02
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Answer:
the answer is > but why do you need help with elementary grade questions?
Randomthing2143 help me please! Range of: 1, 2, 3, 1, 5, 2, 1, 8, 9, 7?
Answer:
8solution,
Highest score=9
lowest score=1
now,
range= highest score-lowest score
=9-1
=8
Hope this helps...
Answer:
8
Step-by-step explanation:
The range of the sequence is the largest number - the smallest number.
The largest number is 9.
The smallest number is 1.
9 - 1
= 8
The range of the sequence is 8.
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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✓ Be sure your photo is not blurry
7x-3(5x+2)-6(7+2x)
Answer:
-20x-48
Step-by-step explanation:
7x-(15x +6)-6(7+2x)
7x-(15x+6)-(42+12x)
7x-15x-6-42-12x
(7x -15x-12x)+(-6-42)
=-20x-48
Answer:
-20x - 48
Step-by-step explanation:
7x - 3(5x +2) - 6*(7 + 2x) = 7x + (-3)*5x + (-3)*2 + (-6)*7 + (-6)*2x
= 7x - 15x - 6 - 42 - 12x
= 7x - 15x - 12x - 6 -42 {Combine like terms}
= -20x - 48
-5x+3y-3x+2y show work please
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute (a) The expected number of days of the year that are birthdays of exactly 4 people:
Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:\(P = \bigg [ \dfrac{1}{365} \bigg]^4\)
The expected number of days with 4 birthdays = \(\sum \limits ^{365}_{i=1} E(x_i)\)
\(\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg]\)
\(\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg]\)
\(\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg]\)
= 0.0157
Therefore, the required probability = 0.0157
I need help on this math problem
Answer:
domain is 6,5,4,3
range is 8,9,10,11
\(\frac{2}{2+\sqrt{7} }\)
Answer:
\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)
Step-by-step explanation:
This is a rationalizing denominator question.
Given expression:\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)
if there are three sleds for every five children which equation shows the correct relationship between the number of sleds
Answer:
multiplication
Step-by-step explanation:
it should be 5×3
2a + 3b = 11
4a- 5b = -11
Solve each system of equations using the elimination method.
Answer:
a=1, b=3
Step-by-step explanation:
2a+3b=11---(1)
4a-5b=-11---(2)
(1)×2-(2): 4a+6b=22
-) 4a-5b=-11
------------------
11b=33
b=3
Put b=3 into (1), we have
2a+3(3)=11
2a=2
a=1
(a) Write an equation representing the fact that the product of two consecutive odd Integers is 143. Use x to represent the smaller
integer.
(b) Solve the equation from part (a) to find the two integers.
(a) The equation is
The equation representing the fact that the product of two consecutive odd Integers is 143 is x(x+2) = 143 where x represents the smaller number and the value of x is 11 or -13.
According to the question,
We have the following information:
The product of two consecutive odd Integers is 143.
Now, let's take the smaller integer to be x.
Now, next consecutive odd integer:
(x+2)
So, we have the following expression:
x(x+2) = 143
\(x^{2} +2x = 143\\\)
\(x^{2} +2x -143 = 0\)
\(x^{2}\)+13x-11x-143 = 0
Taking x as the common factor from first two terms and -11 from the last two terms:
x(x+13)-11(x+13) = 0
(x-11)(x+13) = 0
x-11 = 0 and x+13 = 0
x = 11 or x = -13
Next odd integer = 13 or -11
Hence, the equation representing the fact that the product of two consecutive odd Integers is 143 is x(x+2) = 143 where x represents the smaller number and the value of x is 11 or -13.
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If triangle ABC has points A(2, -4) B(-3, 1) C(-2, -6) and you perform the following transformations, where will B' be?
Reflection over the y-axis, rotation 90° clockwise, and translation (x + 2, y - 1)
The coordinates of B' after the sequence of transformations are given as follows:
B'(3,-4).
How to obtain the coordinates of B'?The coordinates of B are given as follows:
B(-3,1).
After a reflection over the y-axis, the x-coordinate of B is exchanged, hence:
B'(3, 1).
The rule for a 90º clockwise rotation is that (x,y) becomes (y,-x), hence the coordinates of B' after the 90º clockwise rotation are given as follows:
B'(1, -3).
The translation (x + 2, y - 1) means that 2 is added to the x-coordinate while 1 is subtracted from the y-coordinate, hence the final coordinates of B' are given as follows:
B'(3,-4).
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If triangle ABC has points A(2, -4), B(-3, 1), and C(-2, -6) and you perform the following transformations, B' would be at B' (3, -4).
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).
By applying a reflection over the y-axis to the coordinate of the given point B (-3, 1), we have the following coordinates:
Coordinate B = (-3, 1) → Coordinate B' = (-(-3), 1) = (-3, 1).
Next, we would apply a rotation of 90° clockwise as follows;
(x, y) → (y, -x)
Coordinate B' = (-3, 1) → Coordinate B' = (1, (-3)) = (1, 3)
Finally, we would apply a translation (x + 2, y - 1) as follows:
Coordinate B' = (1, 3) → (1 + 2, 3 - 1) = B' (3, 2).
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The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.
100 points !
Please answer the questions in the picture as well as showing work. I will also award brainliest to whoever gets the answers correct first !
Answer:
Given Below.Step-by-step explanation:
(a)
\(\left(-5y^2-9y-4\right)-\left(-2y^2-y+8\right)\)
\(\left-5y^2-9y-4\right+\left2y^2+y-8\right)\)
\(-3y^2 -8y -12\)
(b)
\(\left(3x-2\right)\left(5x^2-7x+2\right)\)
\(15x^3-21x^2 +6x - 10x^2 +12x - 4\)
\(15x^3-31x^2+20x-4\)
Answer:
Step-by-step explanation:
\((-5y^2-9y-4)-(-2y^2-y+8)\)
To find the opposite of \(-2y^2-y+8\), find the opposite of each term.
\(-5y^2-9y-4+2y2+y-8\)
Combine \(-5y^2\) and \(2y^2\) to get \(-3y^2\).
\(-3y^2-9y-4+y-8\)
Combine -9y and y to get -8y.
\(-3y^2-8y-4-8\)
Subtract 8 from -4 to get -12.
\(-3y^2-8y-12\)
\((3x-2)(5x^2-7x+2)\)
Use the distributive property to multiply \(3x-2\) by \(5x^2-7x+2\) and combine like terms.
\(15x^3-31x^2+20x-4\)
\((x-1)(3x-2)(5x-2)\)
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
find (f.g)(-3)when f(x)=-5x-7 and g(x)= 7x^2-2x+9
Answer:
\(f(7 {x}^{2} - 2x + 9) \\ = - 5(7 {x}^{2} - 2x + 9) - 7 \\ = - 35 {x}^{2} + 10x - 45 - 7 \\ = - 35 {x}^{2} + 10x - 38 \\ f.g( - 3) = - 35 {( - 3)}^{2} + 10( - 3) - 38 \\ f.g( - 3) = -383\)
When you are doing a survey of the time it takes for a person to run 100m, which unit would you use?
When you are doing a survey of the time it takes for a person to run 100m, the unit that you would you use is seconds.
What is unit?A unit of measurement is a definite magnitude of a quantity that is defined and adopted by convention or law and is used as a standard for measuring the same type of quantity. Any other such quantity can be expressed as a multiple of the unit of measurement. A length, for example, is a physical quantity.
A unit is any standard that is used to compare measurements. Unit conversions allow measurements of a property to be converted from one unit to another, such as centimeters to inches.
In this case, time is measured in seconds.
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I need help with this
The value of b is 405 in the given polynomial (a+3)⁵=a⁵+15a⁴+90a³3²+270a²+ba+243
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Given,
(a+3)⁵=a⁵+15a⁴+90a³3²+270a²+ba+243,
We need to find the value of b
The binomial formula for (a+b)⁵=a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵
Now let us find (a+3)⁵
We just need to replace b with 3 in above formula.
(a+3)⁵=a⁵+5a⁴3+10a³3²+10a²3³+5a3⁴+3⁵
=a⁵+15a⁴+90a³3²+270a²+405a+243
Hence the value of b is 405 in the given polynomial a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵
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a) Imagine that you need to create a scale drawing of this sign. The scale drawing will
be used to create a mold that will be used to manufacture the sign. Use the grid to
make a scale drawing of this sign. Include a key to show the relationship between
the dimensions in the scale drawing and the dimensions of the actual sign. Label all
sides in the scale drawing. Show your work. (3 points)
Answer:
A=b/2
Step-by-step explanation:
you're simplifying both ends of an equation.
Answer:
A scale drawing with a 1: 0,8 scale will have sides that measure 2.24, 1.6, and 3.2.
Step-by-step explanation:
A scale drawing refers to a drawing that has been made bigger or smaller but preserves the proportions of a drawing.
How to make the scale drawing of the sign?
The first step is to decide the scale. In this case, the best scale is 1:0.8, which means the new drawing is 0.2 smaller. This scale is ideal because this sign is slightly bigger than regular signs.
Draw the sign by multiplying each side by the scale (0,8).
If you spin the spinner 72 times, what is the best prediction possible for the number of times it will land on yellow?
the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,
how to solve probability
If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.
To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.
In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:
Expected value = Probability of yellow x Number of spins
Expected value = (1/6) x 72
Expected value = 12
Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.
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Common Core Assessment
9. Choose Yes or No to tell if the fraction
will make each equation true.
+
Yes O No
Yes No
Yes N
3+)-1 o Yes No
10. Choose Yes or No to tell if the fraction
will make each equation true
Answer:
Yes, No, Yes, No.
Step-by-step explanation:
1/3 + 1/3 = 2/3
1/6 + 1/6 = 2/6, or 1/3, not 2/3.
2/3 + 6/9 = 4/3
2/5 + 2/3 = 16/15, not 14/15.
find the value of the trigonometric ratio
Answer:
ur box cannot be opend repain the window
Step-by-step explanation:
please mark this answer as brainlist
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
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please help this is very important
(this is a big part of my grade)
Evaluate the functions
Answer:
Step-by-step explanation:
Anyone know this please I really need help