Zanele Situ is a disabled Olympic gold-medallist javelin champion. She threw the javelin a distance of 16,22 m in London at 2012 Olympics. She threw the javelin to a distance of 17,90 m in Rio at 2016 Olympics. By what percentage did the distance increase?
Answers
Answer:
10,4%
Step-by-step explanation:
The percentage change is found from ...
(amount of change)/(original amount) × 100%
(17,90 -16,22)/(16,22) × 100% = 1,68/16,22 × 100% ≈ 10,358% ≈ 10,4%
Related Questions
Please help I need this done!
Will give the brainliest!
Answers
Answer:
(See explanation for all answers)
Step-by-step explanation:
4.
A. 3/16
It says in the chart that 4 text messages have a probability of 3/16.
5.
D. 13/16
You just have to add up all the probabilities under four.
6.
B. 5/8
At least two messages means that you need to add up all the probabilities 2 and above.
Hope this helps!
-Luna
What is the equation of the new graph? Will mark brainlest
Answers
Answer:
c
Step-by-step explanation:
did the test
Brianna's teacher asks her if these two expressions 3x + 5 and 4x are equivalent.Brianna says the expressions are equivalent because the value of each expression is 20 when x = 5.Is Brianna correct synlainthink ASAP please
Answers
Step 1
Given data
Expression 1 = 3x + 5
Expression 2 =
PLEASE HELP MARKING BRAINLIST
Answers
Answer:
82?
Step-by-step explanation:
Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a great person!!!!
how do you find the area of a partial circle
Answers
Answer:
Divide!
Step-by-step explanation:
Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....
4 to the 3 power, x 4 to the 4th power, divide by 4 to the 9th power
Answers
Answer:
We can simplify the expression as follows:
4^3 * 4^4 / 4^9
First, we can simplify the terms in the numerator by adding the exponents of 4:
4^3 * 4^4 = 4^(3+4) = 4^7
Now, we can substitute this value in the expression:
4^7 / 4^9
To divide powers with the same base, we can subtract their exponents:
4^(7-9) = 4^(-2)
Therefore, the simplified expression is:
4^3 * 4^4 / 4^9 = 4^(-2)
So, the final answer is 1/16 or 0.0625.
Which two statements are both true?
Answers
Answer:
The second choice is the correct choice
Evaluate the expression 2 + 23 × 5 - 3.
20
39
37
47
Answers
The expression after evaluating results in the number 114.
What is BODMAS Rule?BODMAS rule is the rule used when solving expressions involving more than one operations.
It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.
The expression given is,
2 + 23 × 5 - 3
We have to evaluate the expression in the order of BODMAS.
There are no brackets and orders and division.
Start with the multiplication.
2 + 23 × 5 - 3 = 2 + 115 - 3
Next do the addition.
2 + 115 - 3 = 117 - 3
= 114
Hence the value of the expression given is 114.
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Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answers
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = (t, 9 – t, 2t) r(-9) (x, y, z) r(0) (x, y, z) r(9) (x, y, z)
Answers
For sketching the graph we need to know the coordinate of the vector which are r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩
Given:-
x = t − 2,
y = t² + 1 ⇒ t = x + 2
⇒ y = (x + 2)2 + 1
⇒ y = x² + 4x + 5
For find r′(t) we have to ,
r′(t) = ⟨1, 2t⟩
To sketch the position vector r(t) and the tangent vector r′(t) for t = 1.
r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩
See the above figure. The red vector is r(1) and the blue one is r′(1)
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Q. The probability that a student passes a statistics test is 2/3 and the
probability that he passes both statistics and mathematics is
14/45. The probability that he passes at least one test is 4/5. What
is the probability that the student passes the mathematics test?
Answers
Answer:
4/9 or 44.44%
Step-by-step explanation:
We have the following probabilities:
Probability of winning the statistical test = P (s) = 2/3
Probability of winning the mathematics and statistics test = P (s n m) = 14/45
Probability of winning at least one test = P (s u m) = 4/5
We have that, the probability of winning the mathematics test P (m) can be found in the following way:
P (s n m) = P (s) + P (m) - P (s u m)
replacing we have:
14/45 = 2/3 + P (m) - 4/5
P (m) = 14/45 - 2/3 + 4/5
p (m) = 4/9 = 0.444
Which is the same as there is a 44.44% probability that I will win the math test
John is. Making a 10 pound bag of trail mix. Chocolate costs $3.00 per pound and nuts $7.00 per pound and john has a budget of $5.80 per pound of trail mix, how many pounds should he use?
Answers
Answer:
2
Step-by-step explanation:
trust me bc im black:)
Mrs. Lee works 4y hours each day from Monday to Friday. She works (4y-4) hours on Saturday.
Mrs. Lee does not work on Sunday. Find the number of hours Mrs. Lee works in one week
in terms of y.
Answers
Answer:
24y-4
Step-by-step explanation:
4y*5=20y
20y+4y-4= 24y-4
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
Answers
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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solve for 30 points and brainliest
7³(8)÷3(2)-1800.3 repeating
Answers
Answer:
29.033333
Step-by-step explanation:
Answer: -1342.966 repeating
Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96
What are the solutions of equation (x-2)^2=-3x+6Select all that apply(The choices are in the image)
Answers
SNSWER
. x = 2
F. x = -1
EXPLANATION
e can rewrite this equation as a quadratic frunction equal to zero.
First apply the binomial squared on the left side:
\((x-2)^2=x^2-4x+4\)This is to write it in standard form. Now we have the equation:
\(x^2-4x+4=-3x+6\)We can add 3x on both sides of the equation:
\(\begin{gathered} x^2-4x+3x+4=-3x+3x+6 \\ x^2-x+4=6 \end{gathered}\)And subtract 6 from both sides:
\(\begin{gathered} x^2-x+4-6=6-6 \\ x^2-x-2=0 \end{gathered}\)Now we can use the quadratic formula to solve this for x:
\(\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)In our equation a = 1, b = -1 and c = -2:
\(\begin{gathered} x=\frac{1\pm\sqrt[]{1^2+4\cdot2\cdot1}}{2\cdot1} \\ x=\frac{1\pm\sqrt[]{1+8}}{2} \\ x=\frac{1\pm\sqrt[]{9}}{2} \\ x=\frac{1\pm3}{2} \\ x_1=\frac{1+3}{2}=\frac{4}{2}=2_{} \\ x_2=\frac{1-3}{2}=\frac{-2}{2}=-1 \end{gathered}\)Therefore the solutions to the given equation are x = 2 and x = -1
Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
Find the value of each variable.a × 3= -30 -9 × b= 45
Answers
Given the expression:
a x 3 = -30
-9 x b = 45
Let's determine the value of each variable.
At a x 3 = -30,
\(\text{ a x 3 = -30}\)\(3a\text{ = -30}\)\(\frac{3a}{3}=\text{ }\frac{\text{-30}}{3}\)\(\text{ a = -10}\)At -9 x b = 45,
\(-9\text{ x b = 45}\)\(-9b\text{ = 45}\)\(\frac{-9b}{-9}=\frac{45}{-9}\)\(b=\text{ -5}\)Therefore, a = -10 and b = -5.
Identify 2 congruent angles
Look at picture for reference
Answers
In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.
Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.
However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.
Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.
Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:
∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees
Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:
∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees
Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.
Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.
In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
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Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
Answers
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
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Your town has a park at points (-9,-9), (-3,-9) and (-6,-5). What is the area of the park?
Answers
The area of the park is 12 square units.
To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.
The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:
A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|
In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:
A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|
Simplifying further:
A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|
A = 1/2 × |150 - 126|
A = 1/2 × |24|
A = 12
Therefore, the area of the park is 12 square units.
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Answer:
12 square units---------------------
Plot the given vertices and connect.
See attached.
Then add the height CD.
The base is AB, with the length:
AB = - 3 - (- 9) = -3 + 9 = 6The height is CD, with length:
CD = -5 - (- 9) = - 5 + 9 = 4Find the area using equation:
A = bh/2A = 6*4/2A = 12
If the sum of a number and two is doubled the result is three less than the number
Answers
Answer:
Step-by-step explanation:
a number = x
Sum of a number and two: (x + 2)
(Sum of a number and two) is doubled: 2 * (x + 2)
The result (put an equal sign): =
Three less than the number: x - 3
Now just put The two bolded parts together and an equal sign between them.
2(x + 2) = x -3 Remove the brackets
2x + 4 = x - 3 Subtract x from each side
2x - x + 4 = x -x - 3 Combine
x + 4 = - 3 Subtract 4
x +4 - 4 = -3 - 4
x = - 7
Explain how to find the greatest number of identical
arrangements that can be made with 54 roses and 42
tulips with no flowers left over.
(I will mark brilliant the correct answer)
Answers
Answer:
There are 6 identical arrangementsStep-by-step explanation:
The correct answer is found by getting the GCF of both numbers.
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
The greater factor that is common between these is 6, which is the answer.
There are 6 identical arrangements.I DON’T NEED ANY ANSWERS. But does anyone know if I’m doing it right so far?
Answers
Answer:
I believe you are!
Step-by-step explanation:
Yes, you are doing right
HALLLLPPP!!!! DUE TOMORROW I RLLY NEED HELPPPP!!! PLS HURRY!!!
There are 231 cubic inches in a gallon. A rectangular pitcher has a 4-inch by 5-inch base and a height of 10 inches. How many gallons of juice could the pitcher hold? Round your answer to the nearest tenth.
Answers
Answer:
0.86
Step-by-step explanation:
4x5 = 20 (the base of the pitcher)
20 x 10(the height) = 200 square inches
231 (The number of cubic inches in a gallon) / 200 (the size of the pitcher) = 0.82 gallons
Is (49,13),(61,36),(10,27),(76,52),(23,52) a function
Answers
Answer:
No
Step-by-step explanation:
To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.
Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values. Still need to check if each x-value has a unique corresponding y-value.
Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).
Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.
Evaluate the expression.
(x - a)2 + (y – b)2 for x = -5, y = 2, a = 8, and b = -3
Answers
(-13) (5)
=13 =5*2=10 13+10 = 23
Select the correct answer.
Given the following formula, solve for l.
A.
B.
C.
D.
Answers
Answer:
c
Step-by-step explanation:
took the test so i assume its this question
What is the volume of the right rectangular prism, in cubic centimeters?
Vx
9 cm
3 cm
4 cm
cubic centimeters
©
Answers
Answer:
108 cm³
Step-by-step explanation:
Formula: V = w×h×l
Solution: V = whl = 4·3·9 = 108
Hence, the answer is 108 cm³
Find an equation in the form y=ax^2+bx+c for the parabola passing through the points.
(3,25) (1,3) (-5,-15)
Thanks for the help! :)
Answers
Answer: \(x^2+7.0x-5.0x\)
Step-by-step explanation: