Answer:
91%
Step-by-step explanation:
Let's set up an equation:
182=x%200
Change x% into x/100 to make the math easier
182=x/100(200)
182=2x
Divide both sides by 2
x=91
They won 91% of the games
find the coordinates of the midpoint of MN with endpoints M = (2, 3) and N = (2, 9)
Answer:
\((2, 6)\)
Step-by-step explanation:
Midpoint Formula:The midpoint can be thought of as drawing a line between two points and then going half-way along that line, wherever that point is, is the midpoint. The vertical and distance will be cut in half.
I attached a diagram which I will be referring to in this explanation.
The main takeaway, is we have a formula, or at least somewhat of a formula:
\(\text{midpoint} = (x_1 + \frac{\text{horizontal distance}}{2}, y_1 + \frac{\text{vertical distance}}{2})\)
But if you look at the graph, you'll notice, the vertical and horizontal distance are simply the difference in x and y values.
\(\text{horizontal distance} = x_2 - x_1\\\text{vertical distance} = y_2 - y_1\)
This means we can substitute something into the equation.
\(\text{midpoint} = (x_1 + \frac{x_2-x_1}{2}, y_1 + \frac{y_2-y_1}{2})\)
Now we could directly use this equation, but we can also simplify a bit, which we can do by rewriting the following: \(x_1\to \frac{2x_1}{2}, y_1 \to \frac{2y_1}{2}\)
\(\text{midpoint} = (\frac{2x_1+x_2-x_1}{2},\frac{2y_1+y_2-y_1}{2})\)
combining like values, you get:
\(\text{midpoint}=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}})\)
And now we have a convenient formula we can use for this problem, which is the midpoint formula.
Applying the Midpoint Formula:Now all that's left to do, is plug in x and y values, and since we're adding values, the order does not matter.
\(\text{midpoint} = (\frac{2+2}{2},\frac{3+9}{2})\to (2, 6)\)
so the answer is: \((2, 6)\)
what is the simple interest if I=1000 birr,T=5 years and p=4000 birr
Answer:
l don't understand your question
what is greatest common factor of -x^2+6x-19
The greatest common factor of -x^2 + 6x - 19 is 1.
To find the greatest common factor (GCF) of the polynomial \(-x^2 + 6x - 19,\) we need to factorize the polynomial and identify the common factors among its terms.
First, let's examine the polynomial and see if we can factor it further:
\(-x^2 + 6x - 19\)
The polynomial does not appear to have any common factors among its terms.
It cannot be factored using simple integer factors.
In this case, we can say that the GCF of the given polynomial is 1.
It is important to note that the GCF represents the highest degree of common factors that can be factored out from all terms of a polynomial. In this particular case, the polynomial does not possess any common factors that can be factored out.
It's worth mentioning that this polynomial is already in its simplest form and cannot be factored further.
However, if the polynomial had common factors that could be factored out, such as common binomial factors or other mathematical patterns, the GCF would differ from 1.
But in this case, the polynomial does not exhibit any common factors beyond 1.
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What is the perimeter, in feet, of a rectangle whose length is four times its width
which is 8 feet?
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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pless i really need help
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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What is the equation of the line?
Answer:
So first y intercept
SO the first part where the line hits the Y axis is 2
So the y intercept is 2 Which leaves 2 choices .
Now from that y-intercept or from any point, find the slope by just rising or running till you reach a point which in this case would be
Y=1/2x+2
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
(a) Which of the following expresses the zero product property formally using quantifiers and variables? ∀ real numbers x and y, if xy = 0 then x = 0 and y = 0. ∀ real numbers x and y, if x = 0 and y = 0 then xy = 0. ∀ real numbers x and y, if x = 0 or y = 0 then xy = 0. ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0. (b) Which of the following is the contrapositive of the zero product property? ∀ real numbers x and y, if x ≠ 0 or y ≠ 0 then xy ≠ 0. ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 or y ≠ 0. ∀ real numbers x and y, if x ≠ 0 and y ≠ 0 then xy ≠ 0. ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0. (c) Which of the following is an informal version (without quantifier symbols or variables) for the contrapositive of the zero product property? For any two real numbers, if at least one of them is nonzero then their product is nonzero. If the product of two real numbers is nonzero, then both numbers are nonzero. If the product of two real numbers is nonzero, then neither number is zero. If neither of two real numbers is zero, then their product is nonzero.
Answer:
A) ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0.
B) ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0.
c) If neither of two real numbers is zero, then their product is nonzero
Step-by-step explanation:
A) Expression of zero product property using quantifiers and variables
∀ real numbers x and y, if xy = 0 then x = 0 or y = 0.
B) Contrapositive of the zero product property
∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0.
C) The Informal version (without quantifier symbols or variables) for the contrapositive of the zero product property is : If neither of two real numbers is zero, then their product is nonzero
−2/5x−2=18 Solve for x
Answer:
50
Step-by-step explanation:
explenation on picture :))
Select the proper reason if this
statement is provided as a fact at the
beginning of a proof.
Neural tube defects are birth defects of the __________ and __________. A. neurons . . . umbilical cord B. brain . . . spinal cord C. brain . . . umbilical cord D. spinal cord . . . umbilical cord Please select the best answer from the choices provided
Answer:
B.
brain . . . spinal cord
Step-by-step explanation:
Neural tube defects are birth defects of the brain and spinal cord. which is the correct answer would be an option (B).
What are neural tube defects?The neural tube is a structure that forms early in fetal development and gives rise to the brain and spinal cord. Neural tube defects are a type of birth defect that can occur when the neural tube does not form properly, leading to defects in the brain and spinal cord. These defects can be serious and can cause a range of symptoms, depending on the specific type of defect. For example, Anencephaly is a catastrophic birth condition that occurs when a newborn is born lacking portions of the brain or spine.
Thus, the required fill-in-the-blanks are the "brain" and "spinal cord". which is the correct answer that would be option (B).
Hence, neural tube defects are birth defects of the brain and spinal cord.
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Please help need to do corrections and can't figure out this homework question??
Determine the total cost of the items if they were NOT to be sold as a combo if both they were sold at R100 and save R37
If the items were not sold as a combo and were sold separately at R100 each, the total cost of the items would be R100 + R100 = R200.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
If the items were sold separately for R100 each, and the combo price is R63 for both items (which saves R37), we can set up the following equations:
2x = 200 (total cost of the two items if sold separately)
x + y = 63 (combo price)
We can solve for x and y by subtracting the second equation from twice the first equation:
2x - (x + y) = 137
x - y = 37
Now we have two equations:
x + y = 63
x - y = 37
Adding these two equations gives:
2x = 100
x = 50
Substituting this value of x into either of the equations above gives:
y = 13
Therefore, if the items were not sold as a combo and were sold separately at R100 each, the total cost of the items would be R100 + R100 = R200.
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If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is increased by $64,800.
B. It is decreased by $60,000.
C. It is increased by $60,000.
D. It is decreased by $64,800.
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.
What decreases the money supply?One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.
Another factor that can decrease the money supply is the sale of treasury bonds to banks.
Raising the interest rates also decreases the money supply.
Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.
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What is the factored form of the polynomial?
x2 - 12x + 27?
O (x + 4)(x + 3)
(x - 4)(x + 3)
O (X + 9)(x +ht
(x - 9)(x-3)
o
Hey there! :)
Answer:
(x - 9)(x - 3)
Step-by-step explanation:
We are given the polynomial:
x² - 12x + 27
Factor the equation by finding two numbers that sum up to -12 and multiply into 27. The numbers -9 and -3 satisfy these conditions:
Therefore, the equation in factored form would be:
(x - 9)(x - 3)
(x - 9)(x-3)
multiply the first and last numbers of the equation to get 27
find two numbers that multiply to 27 and add to - 12 [the middle number]
- 9 and -3 multiply to 27 and add to - 12
because there is no coefficient on the x2, thats your answer. (x - 9)(x-3)
hope that makes some sense :)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 190 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.65 cm, y= 81.36 kg, r= 0.309, P-value= 0,002, and y= 106+1.15x. Find the best predicted value of y (weight) given an adult male who is 156 cm tall. Use a 0.10 significance level.
The best predicted weight of a person that is 156 cm is 285.4kg
We have the regression equation asy= 106+1.15
When the adult male is 156 cm tall the weight of this person would be calculated as:
y= 106+1.15*156
y = 106 + 179.4
y = 285.4
Hence we can arrive at the conclusion that the best predicted weight of a person that is 156 cm is 285.4kg
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Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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find out price elasticity of supply when 20% change in price of the commodity results change in supply 40%.
Answer:the price elasticity of supply in this scenario is 2.
Step-by-step explanation:
Price Elasticity of Supply = (% Change in Quantity Supplied) / (% Change in Price)
In this case, we are given that there is a 20% change in price, resulting in a 40% change in supply. Let's plug these values into the formula:
Price Elasticity of Supply = (40% / 20%) = 2
Therefore, the price elasticity of supply in this scenario is 2.
Solve for x
(20 pts)
Answer:
x = 11
Step-by-step explanation:
8x - 8 + 30 = 11x -11
3x = 33
x = 11
Answer:
x=11
Step-by-step explanation:
8x-8+30+11x-11
3x=33
x=11
hehe the same as her/him
QUESTION 1 1.1. simplify 12 (3+1/3)÷(1,30+0,70)
Answer:
8
Step-by-step explanation:
using Bodmas
\(12( \frac{3 + 1}{3} ) \: \div (1.30 + 0.70)\)
\(12( \frac{4}{3} ) \div (2.00)\)
\(4(4) \div 2\)
\(16 \div 2\)
\( = 8\)
An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%
Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.
We can use the following formula to calculate ROI:
ROI = (gain from investment - cost of investment) / cost of investment
where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.
Using the values given in the question, we can calculate the ROI as:
ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000
ROI = 0.16 or 16%
Therefore, the return on the investment is 16%.
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To make color RW689, Raul must mix 3 parts red pint with 11 parts white paint. What is the ratio of white paint color RW689?
The ratio of white paint to color RW689, given that Raul must mix 3 parts red paint with 11 parts white paint to form RW689, is 11:14 or 11/14.
What is the ratio?The ratio shows the relative size of one value or quantity when compared to another quantity.
Ratios are fractional or proportional values, which can be depicted as decimals, fractions, or percentages.
The mixture of red paint to white paint:
Red parts = 3
White parts = 11
Ratio of red to white = 3:11
The sum of ratios = 14 (3 + 11)
Therefore, color RW689 = 14 parts of red and white.
Thus, the ratio of white paint to color RW689 = 11:14 or 11/14
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If a = -2 and b = 3, what is the value of -3a²b?
Answer:
-36
Step-by-step explanation:
-3\(a^{2}\)b Substitute -2 for a and 3 for b
-3\((-2)^{2}\)(3)
-3(4)(3)
-36
Answer:
= -36
Step-by-step explanation:
-3a²b
if:
a = -2
b = 3
Then:
= -3*-2²*3
= -3(-2*-2) * 3
= -3*4*3
= -36
Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the length of leg s of the triangle below?
Answer:
i normally know these but i honestly dont know but can you please put branliest
Step-by-step explanation:
Step-by-step explanation:
Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles
This means that the other side is also equal to s
The best way to solve this is by using the pythagorean theorem
\(a^{2}\)+\(b^{2}\) = \(c^{2}\)
10\(\sqrt{2}\) = c (because it's the hypotenuse or the longest side)
s = a
s= b
Substitute the values into the formula stated above
\(a^{2}\)+\(b^{2}\)= \(c^{2}\)
\(s^{2}\)+\(s^{2}\) =(10\(\sqrt{2}\)\()^{2}\)
Simplify
\(2s^{2}\) = \((\sqrt{102} )^{2}\)
\(2s^{2}\)= 102
Now continue simplifying till you completely solve it
\(\frac{2s^{2} }{2}\)= \(\frac{102}{2}\)
\(s^{2}\)= 51
\(\sqrt{s^{2} }\) = \(\sqrt{51}\)
s=\(\sqrt{51}\)
I hope this helps!!!
A quadratic function has a vertex at (3, -10) and passes through the point (0, 8). Which of the following equations best represents the function? O y = 2(x+3)² +8 O y = 2(x+3)² – 10 Oy=(x-3)²-10 O y = 2(x-3)² – 10
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Solve for P, WILL GIVE BRAINLIEST
Answer:
p = 37°Step-by-step explanation:
ΔABD ≅ ΔAEC because:
AB = AE = 10AD = AC = 17∠A is common and congruent to itselfWe have two sides and the included angle congruent - SAS
Corresponding parts of congruent figures are congruent:
∠C ≅ ∠D = p°Now, ∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:
m∠CED = m∠A + m∠C79° = 42° + p°p = 79° - 42°p = 37°