make the decimal into into 3
then
3/10×3 =9/10=0.9
What is the effect on the graph of the function f(x) = x² when f(x) is changed to f(x) +
9?
shifted up
shifted left
shifted down
shifted right
Answer would be shifted up
Step-by-step explanation:
hence the +9 you would be going up 9 units :)
Helppppppp plsssssssssssssssssssssss
Answer:
Its 12.51
Step-by-step explanation:
Divide the ones column dividend by the divisor.
Multiply the divisor by the quotient in the right place column.
Subtract the product from the ones column.
then you get your answer! Hope this helps!
what formula do you use to find the area of big ben
Given that Big Ben is a circle, ita area is computed as follows:
A = πr²
Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
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Find the equation of a parabola with axis x= 1 and which also passes through the points (2, 1) and (3. -8)
ANSWER
y = -3x² + 6x + 1
EXPLANATION
The equation of a parabola in standard form is,
\(y=ax^2+bx+c\)Where the x-coordinate of the vertex and, therefore, the axis of symmetry is,
\(x=\frac{-b}{2a}\)We know that this parabola has the axis of symmetry x = 1 and we also know what points it passes through, so we know that when x = 2, y = 1, and when x = 3, y = -8. With this information we have a system of 3 equations with 3 variables: a, b, and c:
• With the equation for vertex we have,
\(1=\frac{-b}{2a}\Rightarrow b=-2a\)• With the point (2, 1) we have the equation,
\(1=a\cdot2^2+b\cdot2+c\Rightarrow1=4a+2b+c\)• And with the point (3, -8) we have the equation,
\(-8=a\cdot3^2+b\cdot3+c\Rightarrow-8=9a+3b+c\)So, we have the system,
\(\begin{cases}(1)\text{ }{b=-2a} \\ (2)\text{ }{1=4a+2b+c} \\ (3)\text{ }{-8=9a+3b+c}\end{cases}\)We can subtract the 2nd equation from the 3rd,
\(\begin{gathered} 1-(-8)=(4a-9a)+(2b-3b)+(c-c) \\ \\ 9=-5a-b \end{gathered}\)Replace b with the first equation,
\(\begin{gathered} 9=-5a-(-2a) \\ 9=-5a+2a \\ 9=-3a \end{gathered}\)And solve for a,
\(a=-3\)Knowing that a = -3, we can replace its value in the first equation to find b,
\(b=-2a=-2(-3)=6\)And with b = 6 we can use the second equation to find c. First, replace the values of a and b found,
\(\begin{gathered} 1=4\cdot(-3)+2\cdot6+c \\ 1=-12+12+c \\ 1=c \end{gathered}\)So, we got that c = 1.
Hence, the equation of the parabola described is y = -3x² + 6x + 1.
I WILL GIVE BRAINLIEST
Answer:
Graph A represents y=(3/4)x-3
which has the slope= 3/4 and the y-intercept= -3
whats is the spread of 4, 6, 7, 9, 9
So, the spread of the numbers 4, 6, 7, 9, 9 is 5.
What is spread?Spread can refer to different things depending on the context. Here are a few examples:
In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).
In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.
In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).
In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.
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what quadrants in the unit circle is the sin, cos, tan and all real numbers
Sine and Cosine are defined over every real number, really over every complex number if you want to go there. So the answer is never.
Pardon me but this seems like a slightly confused question.
When we talk about sinθ , the θ is an angle. θ is just a real number that’s used in the common parameterization of the unit circle,
(x,y)=(cosθ,sinθ)
θ is interpreted as the angle between two rays, one the positive x axis, and one the ray originating at the origin and intersecting the unit circle at (x,y). The angle is given by the arc length of the unit circle cut by the two rays.
There are other ways to parameterize the circle, the most important being
(x,y)=(1−t21+t2,2t1+t2)
which is on the unit circle because of the easily verifiable identity known to Euclid, (1−t2)2+(2t)2=(1+t2)2
The parameterization is defined for all real t but doesn’t quite get the entire unit circle. It’s missing (−1,0). We can allow t=∞ , essentially treating t as a projective parameter, a ratio, and get the entire circle.
Factor differences of square m^4 - n^4
Remember that a difference of squares can be written as the product of two conjugate binomials:
\(a^2-b^2=(a+b)(a-b)\)In the given expression, notice that m^4 and n^4 can be written as (m^2)^2 and (n^2)^2:
\(m^4-n^4=(m^2)^2-(n^2)^2\)Once written as a difference of squares, we can factor the expression:
\((m^2)^2-(n^2)^2=(m^2+n^2)(m^2-n^2)\)Therefore:
\(m^4-n^4=(m^2+n^2)(m^2-n^2)\)What is the answer for - 11 - (-6)
Given the expression;
\(-11-(-6)\)To solve this, we would use the method called PEMDAS. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
The solution can be seen below;
\(\begin{gathered} -11-(-6) \\ =-11+6 \\ =-5 \end{gathered}\)Therefore, the answer is -5
Triangle X(1, 6), Y(5, -2), Z(-5, -1) is mapped onto Δ
Δ
XʹYʹZʹ by a dilation with center (1, -2) and a scale factor of 3. Which function represents this dilation?
(x, y) → (1 + 3(x + 1), -2 + 3(y + 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y - 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y + 2))
(x, y) → (x + 3, y - 6)
30 points
On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)
by herons formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
s = a+b+c/3
s = 5+2+5+/3 =12/3 = 4
Area of the triangle is, A =
\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)
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Answer:
2.828
Step-by-step explanation:
Plzzz help meeee I am timeddddd!!
Answer:
9.75 is the answer rounded to 10.
10 is the final answer
Hope it helps!!!
Say if my answer is correct....
During the party josie decides to make some more. She has 6 litres of fruit juice left and plenty of lemonade. How much extra punch can she make
Answer:
25 extra litres
Step-by-step explanation:
Ratio 2:3
2+3=5 so 35/5 =7
7x2 means she used 14 litres of fruit juice
7x3 means she used 21 litres of lemonade
if she has 10 litres of fruit juice left then she can use 10/2=5 5x3=15 15 litres of lemonade
10+15=25 so she can make 25 extra litres
Simplify open parentheses x to the two thirds power close parentheses to the four fifths power
Answer:
x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Step-by-step explanation:
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
What is the additive inverse of -10? Explain how you know.
(Will name brainiest)
Answer:
The answer would be positive 10 this is because the additive inverse is the same number but different sign which yours is a negative sI it is positive 10.
Answer:
10
Step-by-step explanation:
The additive inverse of - 10 is 10.
Additive inverse are basically the opposites of the number so all you need to do is switch the signs. In this case, you have to switch -10 to its opposite, which is 10.
To check -10 + 10 = 0.
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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A state lotto has a prize that pays $900 each week for 20 years.
Find the total value of the prize: $
If the state can earn 5% interest on investments, how much money will they need to put into an account
now to cover the weekly prize payments?
Reminder: There are 52 weeks in a year.
The total value of the prize is $936,000.
The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.
What is the total value of the prize?The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:
= $900/week x 52 weeks/year x 20 years
= $936,000.
How much money is needed to put into the account?We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r
Plugging in the values:
PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154
PV = $900 x 657.221075423
PV = $591,498.968.
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Find the value of each variable in the parallelogram. Round your answers to the nearest tenth, if necessary. G a = (46) K (3a +19) b H 56°
The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°
What do you mean by Parallelogram ?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles
We know that sides of a parallelogram are parallel and congruent, as opposite angle
According to question that GA equals HK, as:
46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:
27 x 3a is the result of dividing both sides by 3:
we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:
HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:
After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).
HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2 732.4 By taking the square root of both sides, we obtain the following results:
∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK 27.0
Then, we can use the Law of Cosines to determine the angle G's measurement:
cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,
cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G) 0.465 Using the inverse cosine, we get the following:
G ≈ 63.5°
Hence, the worth of every variable in the parallelogram is:
a = 9 HK = 27.0 GK = 46 G = 63.5°
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You can use these steps to work out the amount of income tax you pay each month.
Work out
monthly salary - 987.5
Work out
answer to Step 1 +5
Step 1
Step 2
Cho has a salary of £24 000 per year.
Helen has a salary of £1720 per month.
How much more income tax does Cho pay than Helen each month?
The amount more in income tax that Cho pays than Helen each month would be £56.
How to find the income tax ?First, find Helen's yearly salary :
= 1, 720 x 12
= £ 20, 640
Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.
Cho 's monthly tax would be:
= (( 24, 000 - 12, 570 ) x 20 % ) / 12
= £ 190. 50
Helen's monthly tax :
= (( 20, 640 - 12, 570 ) x 20 % ) / 12
= £ 134.50
The difference is therefore :
= 190. 50 - 134.50
= £56
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Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.
Answer:
I think it's D
Step-by-step explanation:
The number never goes over 0 so there is no need to put anything above 0
Answer:
the answer is D. The second arrow he drew should have started at -15 instead of 0.
Step-by-step explanation:
was on a test I took and got 100
Simplify the expression to a + bi form:
(3+10i)-(-12-8i)
Answer:
15 + 18i
Step-by-step explanation:
(3 + 10i) - (-12 - 8i) = 3 + 10i - 12*(-1) - 8i*(-1)
= 3 + 10i +12 + 8i
= 3 + 12 + 10i + 8i {Combine like terms}
= 15 + 18i
Growth models question
The recursive formula for this problem is given as follows:
\(P_n = 1.05 \times P_{n - 1}\)
The explicit formula for this problem is given as follows:
\(P_n = 150(1.05)^n\)
The number of tickets in 2026 is given as follows:
297 tickets.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n}\)
In which \(a_1\) is the first term.
The parameter values for this problem are given as follows:
\(a_1 = 150, q = 1.05\)
Hence the function is given as follows:
\(P_n = 150(1.05)^n\)
2026 is 14 years after 2012, hence the number of tickets is given as follows:
\(P_{14} = 150(1.05)^{14} = 297\)
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When a six sided die is rolled then what is the probability that the number
rolled will be four?
Answer:1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
There are six numbers in total on the die.
Numbers ( 1 - 6 )
The number 4 appears only once on the die.
\(\frac{\text{preferred outcome}}{\text{total outcomes}} =\frac{1}{6}\)
There is a 1/6 chance that the die would land on a four.
Hope this helps.
бу (2+1) + 1y=
I need help
Answer:
19y
Step-by-step explanation:
hope this helps! have a great day/night :)
Answer:
19y
Step-by-step explanation:
6y (2+1) + 1y
6y (3) + 1y
18y + 1y
19y
Help please on number 1
Answer:
B. 2.785 x 10^5 mL
Step-by-step explanation:
You want to first turn 2.7 x 10^5 mL to it's standard form.
2.7 x 10^5 mL means 2.7 x 10000 mL. This equals 270,000 mL
Now we can add the 8,500 mL to 270,000 mL = 278,500 mL
Now that we know that the dog's water bowl plus the horse's water through is 278,500 mL, we wil convert it to scientific notation
We will count decimal places backwards and it should result in 5 decimal places meaning we will use "10^5" in our notation. This also means the form of 278,500 we will be using is 2.785
So the answer is 2.785 x 10^5
Hope this helps!
I need help with Estimated Variable and Fixed Cost. How do I figure that out in the problem attached?
The fixed and variable costs of the given table of production costs are respectively; $161280 and $42
How to calculate fixed and variable costs?
Variable costs are costs that vary/change depending on the company’s volume of production while fixed costs are costs that do not change in relation to volume of production.
Fixed costs = Production Cost + Selling expenses + Administrative Expenses
Fixed Cost = $103200 + $21500 + $7300 + $1600 + $1800 + $21000 + $2600 + $2280 = $161280
Variable cost = $15 + $10 + $8 + $3 + $3 + $1 + $2
Variable cost = $42
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A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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If x = 2, solve for y. y = 6.3x y=[?]
Answer: y = 12.6
Step-by-step explanation:
Since x = 2 and y = 6.3 * x, y = 6.3 * 2.
6.3 * 2 is equal to 12.6, so y is 12.6.
Answer:
y = 12.6
Step-by-step explanation:
y = 6.3x x = 2
Solve for y.
y = 6.3(2)
y = 12.6
So, the answer is 12.6
are a type of qualitative method seeking unrestricted comments or opinions and asking questions to help better understand the various dimensions of opinions.
Open-ended questions are often used in market research, customer satisfaction surveys, and other social sciences research to gather in-depth information from respondents.
Open-ended questions are a type of qualitative research method that seeks to gather unrestricted comments or opinions from respondents. These questions are usually framed in a way that allows the respondent to express their thoughts and feelings without being limited by pre-determined response options. This method can provide valuable insights into the perspectives, experiences, and motivations of the individuals being studied. Open-ended questions are often used in market research, customer satisfaction surveys, and other social sciences research to gather in-depth information from respondents.
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