What SAT score do you need for Harvard?

Answer:

A

Step-by-step explanation:

Answer:

x^2 - 12x = -27

Step-by-step explanation:

Here, we want to isolate the constant for the polynomial

To do this, we start by setting the expression to zero

Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value

Mathematically, we have this as;

x^2 - 12x + 27 = 0

x^2 - 12x = -27

To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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Answer:

She can bake 8 dozen cookies in 112 minutes.

Step-by-step explanation:

70/5 =14

112/14= 8

Answer:

198 in.^2

Step-by-step explanation:

You need the area of the net that is shown.

The long horizontal rectangle made up of 4 smaller rectangles has length 3 in. + 9 in. + 3 in. + 9 in. = 24 in. Its width is 6 in.

Then there are two congruent rectangles with length 9 in. and width 3 in.

area of rectangle = length * width

total area = 24 in. * 6 in. + 2 * 9 in. * 3 in.

total area = 198 in.^2

Answer:

x = 2

y = 5

Step-by-step explanation:

Brainly doesn't provide online graphing tools, so I will try to walk you through what to do.

First put both equations in slope-intercept form:

y + x = 7  →  y = -x + 7

3y - 6x = 3   →   3y = 6x + 3  →  y = 2x + 1

These are easy to graph now.  

For equation (1), place a point on the y-intercept (0,7), then draw a line with a slope of -1  (down one, over one, down one, over one, etc.).  The x-intercept is (7,0).

For equation (2), the y-intercept is point (0,1).  Draw a line with a slope of 2 (up 2, over 1, up 2, over 1, etc.)  The x-intercept is (-1/2, 0).

Where the 2 lines intersect is the solution.  They should intersect at point (2,5).

Answer:

6

Step-by-step explanation:

\(nth \: term \: of \: geometric \: \\ sequence \: is \: given \: as : \\ a_n = a {r}^{n - 1} \\ (a = ?, \: \: r = 2)\\ \\ a_4 =48......(given) \\ \\ \therefore \: a {(2)}^{4 - 1} = 48 \\ \\ \therefore \: a {(2)}^{3} = 48\\ \\ \therefore \: 8a = 48 \\ \\ \therefore \: a = \frac{48}{8} \\ \\ \therefore \:a = 6\)

Answer:

6

Step-by-step explanation:

geometric sequence is given as Tn=ar^n-1

where Tn is the last term,a is the first term, r is the common ratio, n is the nth term

hence 48=a2^(4-1)

48=a2^3

48=a8 (divide both by 8 to ramain with a)

6=a

therefore the first term is 6 .

The distance between the height of the platform and the depth below water is 47ft . The concept of depth describes how far something extends.

A deep area in a body of water is what the word "DEPTH" means.

Ocean depth is most frequently and quickly measured using sound. Sonar, which stands for sound navigation and range, is a technique that allows ships to map the topography of the ocean below. The instrument uses sound waves to send to the ocean's bottom and time how long it takes for an echo to come back.

Water depth is the distance in feet between the ocean's surface and bottom, as determined by mean lower low water.

Use the following formula for measuring ocean depth.

D = V Times 1/2 T D

Depth (in meters) T= Time (in seconds) V = 1507 m/s (speed of sound in water)

In the question we have,

Platform to surface of water = 33ft

Platform to depth below water = 33+14 = 47ft

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Answer:

0.635

Step-by-step explanation:

To find the answer take your orginal amount (5) and subtract it by the amount the scientist finished with (4.365)

A system of linear equations can be classified into 3 different ways based on their nature of roots and their graphical representation.

Step 1: Examine the given graph.

Step 2: Determine if the lines cross exactly once, are exactly the same, or are parallel to each other.

Step 3: Classify the system of linear equations as consistent dependent, consistent independent, or inconsistent based on your findings in step 2.

A system of linear equations is consistent dependent if it has an infinite number of solutions i.e the graphs of the lines in the system are the same, it is consistent independent when it has exactly one solution i.e the graphs of the lines in the system cross exactly once and a system is inconsistent if it has no solutions i.e the graphs of the lines do not intersect and they are parallel.

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The formula of the inverse of the function is given by: y = [1 ± √{1 + 4x}] / 2.

To find the formula of the inverse of the function y = (x²) - x, where x > 1/2, let's follow the steps given below:

Step 1: Substitute y for f(x).

y = (x²) - x

Step 2: Interchange x and y to obtain the inverse of the function.

x = (y²) - y

Step 3: Make y the subject of the equation.

y² - y - x = 0

Step 4: Use the quadratic formula to solve for y.

y = [-(-1) ± √{(-1)² - 4(1)(-x)}] / 2(1)y = [1 ± √{1 + 4x}] / 2

Therefore, the formula of the inverse of the function is given by: y = [1 ± √{1 + 4x}] / 2.

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(y÷7)+5

jdkscnkfggjfnznsogsops hexa

Answer:

see explanation

Step-by-step explanation:

\(\frac{y}{7}\) + 5 ← algebraic expression

What u need help with?

Answer: where do you need assistance

Step-by-step explanation:

The test statistic-z or z-score will be 1.635.

What is test statistic-z?

A z-score, also known as a z-statistic, is a number that represents how many standard deviations above or below the mean population a z-test score is. It is essentially a numerical measurement that describes the relationship of a value to the mean of a collection of values. A z-score of 0 implies that the data point's score is the same as the mean score. A z-score of 1.0 indicates that the result is one standard deviation from the mean. Z-scores can be positive or negative, with a positive number indicating that the score is higher than the mean and a negative value indicating that it is lower than the mean.

Let p indicate the proportion of customers who are satisfied.

P=0.64

n=number of customers surveyed =125

x=number of satisfied consumers in the survey=89

p=89/125=0.71

The test statistic-z is calculated using the following formula,

z=(p-P)/√(P(1-P)/n)

=(0.71-0.64)/√0.64(1-0.64)/125

=0.07/√0.00184

=0.07/0.0428

=1.635

The test statistic-z is 1.635

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Answer:

10% is the answer to this question

Answer:

w = 3x + 1

Step-by-step explanation:

Answer:

w=3x+1

Step-by-step explanation:

The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.

The level of measurement for the variable "Number of siblings" is a ratio, as it has a true zero point (i.e., having no siblings) and the values can be compared using ratios (e.g., having twice as many siblings as another person).

The level of measurement for a variable refers to the nature of the data and the mathematical properties that can be applied to them. The variable "Number of siblings" is a quantitative variable that can be measured on a ratio scale.

A ratio scale has a true zero point, meaning that having zero siblings is a meaningful and valid response. Additionally, the values can be compared using ratios, such as having twice as many siblings as another person.

This information is important in statistical analysis, as different levels of measurement require different methods of analysis and have different implications for interpreting the results.

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Use the chain rule to find the first and second derivatives of \(y\) with respect to \(x\).

\(\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy/dt}{dx/dt}\)

Differentiate the parametric equations with respect to \(t\).

\(x(t) = t^2 \implies \dfrac{dx}{dt} = 2t\)

\(y(t) = t^3 - 3t \implies \dfrac{dy}{dt} = 3t^2 - 3\)

\(\implies \dfrac{dy}{dx} = \dfrac{3t^2 - 3}{2t}\)

Let \(f(t) = \frac{dy}{dx}\). By the chain rule,

\(\dfrac{d^2y}{dx^2} = \dfrac{df}{dx} = \dfrac{df}{dt} \cdot \dfrac{dt}{dx} = \dfrac[df/dt}{dx/dt}\)

Differentiate \(f\).

\(f(t) = \dfrac{3t^2 - 3}{2t} = \dfrac32t - \dfrac3{2t} \implies \dfrac{df}{dt} = \dfrac{d^2y}{dx^2} = \dfrac32 + \dfrac3{2t^2}\)

At \(t=2\), the second derivative has a positive sign, so the curve is concave upward at this point.

Answer:

The answer is 53° ( adjacent angles)

Answer:

f(x+3) = x² + 5x + 10

Step-by-step explanation:

We are given the following function:

f(x) = x²-x+1;

We have to find f(x+3).

To do so, every value of x on the function f is replaced by x+3. So

f(x) = x²-x+1;

Replacing each x by x+3

f(x+3) = (x+3)²-(x+3)+1 = x²+6x+9-x-3+1 = x² + 5x + 10

f(x+3) = x² + 5x + 10

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

C

Step-by-step explanation:

Because you just have to multiply 56 by 4

C. 224

56 by 4 to equal 224 or 4 in choir for 1 in band.

For given expression x will be equal to 1.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is m/2=18x-1

where m=33x+1

By putting value of m

33x+1=(18x-1)*2

33x+1=36x-2

3x=3

x=1

Hence,

          For given expression x will be equal to 1.

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Answer:

Time, t = 2.44 seconds

Step-by-step explanation:

Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :

\(h=-4.9t^2+12t\)

It is required to find the time after which Logan will hit the ground. At this point, h = 0

\(-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s\)

So, after 2.44 seconds it will hit the water.

The equation of the tangent line to the curve y = f(x) at the point p = (a, f(a)) can be determined using the point-slope form, which is y - f(a) = f'(a)(x - a).

The equation of the tangent line to a curve at a specific point can be found using calculus. The point-slope form of a line is y - y₁ = m(x - x₁), where (x₁, y₁) represents the coordinates of a point on the line and m is the slope of the line.

In this case, the point on the tangent line is p = (a, f(a)), where f(a) represents the y-coordinate of the point on the curve. The slope of the tangent line at point p is given by f(a), which represents the derivative of the function f(x) evaluated at x = a.

Therefore, the equation of the tangent line becomes y - f(a) = f'(a)(x - a). This equation describes the line that touches the curve y = f(x) at point p = (a, f(a)) and has the same slope as the curve at that point.

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The domain of the given graph is -6 ≤ x ≤ 6,

Hence option D is correct.

In the given graph,

We can see that,

The function in defined between [-6, 6]

Since we know that,

The domain of a function is the set of all potential values that qualify as inputs to a function. It can alternatively be described as the full set of values available for independent variables.

The domain can be found if the fraction's denominator is not zero and the digit under the square root bracket is positive. (In the case of a fractional function).

For example, the domain of the function F is set to A, which means India, Pakistan, Australia, and Sri Lanka.

In other words the interval of x - axis in which function is defined known as domain of function.

Hence,

Domain of the given figure is [-6, 6]

We can also write is ,

⇒ -6 ≤ x ≤ 6

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The fraction based on the information given illustrated for each person.

Me: $14.89

Friend 1: $7.27

Friend 2: $25.67

Friend 3: $11.59

Total = $59.42

The fraction for each person will be:

Me: $14.89 = 14.89/59.42 = 0.25

Friend 1: $7.27 = 7.27/59.42 = 0.12

Friend 2: $25.67 = 25.67/59.42 = 0.32

Friend 3: $11.59 = 11.59/59.42 = 0.195

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Answer:

III. 2

Step-by-step explanation:

To solve out the inequality, first you subtract 2 on each side, leaving you with 2 > -4x. Then, you divide each side by -4. When you divide by a negative, the direction of the sign switches. Therefore, you get -2/4 < x which is -1/2 < x in simplified version. This means that x is anything greater than -1/2. The only answer choice that is greater than -1/2 is III.

Answer: The domain would be all real numbers.

Step-by-step explanation:

This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.