what integer represents Sahan withdrawing $250​

Answer:

1539 ft^3

Step-by-step explanation:

3.5×3.5=12.25

12.25×3.14=38.465

38.465×40=1,538.6

1538.6 rounded to the nearest whole number is 1539.

Answer:

15+10=5(3+2)

Step-by-step explanation:

Answer:

y + 16 = -1(x + 3)²

Step-by-step explanation:

Looking at the graph, parabola vertex opens upwards with x intercepts as -5 and -1.

Thus, the line of symmetry will be;

x = (-5 + (-1))/2 = -3

Looking at the graph we can see that the vertex when traced to the x - coordinate will be 3 which is same with what we got.

Now, the general form of the equation will be;

y - h = a(x - k)²

where (k,h) is the vertex coordinate

Thus, k = -3

So;

y - h = a(x - (-3))²

>> y - h = a(x² + 6x + 9) =

>> y = ax² + 6ax + 9a + h

When, x = 0

y = 9a + h

From the graph, we can see that the y-intercept is y = -25

Thus;

9a + h = -25

From the graph, h which is the y-coordinate of the vertex = -16

Thus;

9a - 16 = - 25

9a = -25 + 16

9a = -9

a = -9/9

a = -1

Thus, the equation is;

y - (-16) = -1(x - (-3))²

>> y + 16 = -1(x + 3)²

No, the plan will not work because tan B = 8/5; B ≈ 58°

There are three primary trigonometric ratios for a right angle triangle and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

To get angle B, we will make use of trigonometric ratios to get:

tan B = 8/5

tan B = 1.6

B = tan⁻¹1.6

B = 58°

From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.

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The results indicate significant preferences among the three types of music as the frequencies are significantly different from each other.

The chi-squared test for independence can be used to analyze the data since the data are categorical. An example of a sentence demonstrating how the outcome of the hypothesis test would be reported in a journal article is: "Results of the chi-squared test indicated that the frequencies of natural sounds, classical music, and rock music that the gorillas oriented towards were significantly different from each other

(χ2 = 132.89, df = 2, p < 0.01).  

"This sentence contains the following information:- The type of statistical test used- The results of the statistical test- The degrees of freedom- The level of significance (p-value)

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Answer: Choice C)  {6, 9, 12}

=======================================================

Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is not longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

So the conditions of the triangle inequality theorem work out here, and we have a triangle.

The experimental probability of rolling the number one on the number cube is approximately 0.2047.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials.

In this case, the event is rolling the number one on the number cube and it occurs 44 times out of 215 trials.

So, the experimental probability of rolling the number one is -

Experimental probability = Number of times event occurred / Total number of trials

Substituting the values into the equation, we get -

Experimental probability = 44 / 215

Experimental probability ≈ 0.2047

Therefore, the probability value is obtained to be approximately 0.2047.

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Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (4-7)/(7-1)

Slope = -3/6

Slope = -1/2

Answer:

6500

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

Answer:

The vertex, (1.5, 40), tells us that it takes 1.5 seconds for the ball to reach its maximum height of 40 feet.

Step-by-step explanation:

...i think..

Given the word problem, we can deduce the following information:

Volume of a rectangular pyramid=64 units^3

length of the rectangular base = 4 units

width of the rectangular base = 6 units

To determine the height of the pyramid, we use the formula as shown below:

where:

V= Volume of the rectangular pyramid

l=length of the rectangular base

w=width of the rectangular base

h=height of the pyramid

We plug in what we know:

Therefore, the height of the pyramid is 8 units.

Answer:

14.

Step-by-step explanation:

14 1/2 / 1 = 14 1/2

answer 14.

Answer:

14 books

Step-by-step explanation:

At most 14 because it is 14 1/2 inches long

Answer:

Ummm hahahaha kindaaaa

Step-by-step explanation:

The solution to the differential equation with the given initial conditions is: y(x) = (-1/2) e^(2x) - (11/2) e^x - (1/2) x e^x

First, we can find the characteristic equation of the differential equation:

r^3 - 2r^2 - r + 2 = 0

This can be factored as:

(r-2)(r-1)^2 = 0

So the roots are: r=2 and r=1 (with a multiplicity of 2)

Thus, the general solution to the differential equation is:

y(x) = c1 e^(2x) + c2 e^x + c3 x e^x

To find the values of the constants c1, c2, and c3, we use the initial conditions:

y(0) = -6

y'(0) = -8

y''(0) = -12

Substituting these values into the general solution and its derivatives, we get:

c1 + c2 = -6       ... (1)

2c1 + c2 + c3 = -8  ... (2)

4c1 + 2c2 + c3 = -12 ... (3)

From equation (1), we have:

c2 = -6 - c1

Substituting this into equations (2) and (3), we get:

2c1 - 5c3 = 2     ... (4)

4c1 - 10c3 = 6    ... (5)

Multiplying equation (4) by 2 and subtracting it from equation (5), we get:

-6c1 + 20c3 = 10

Dividing both sides by 2, we obtain:

-3c1 + 10c3 = 5

Solving this system of linear equations, we get:

c1 = -1/2, c2 = -11/2, c3 = -1/2

Therefore, the solution to the differential equation with the given initial conditions is:

y(x) = (-1/2) e^(2x) - (11/2) e^x - (1/2) x e^x

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The 95% confidence interval to estimate the average weekly donation per member is approximately $47.42 to $53.38.

To calculate the 95% confidence interval for the average weekly donation per member, we can use the following formula:

Confidence interval = Sample mean ± (Critical value) × (Population standard deviation / √(Sample size))

First, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.

Next, we can substitute the given values into the formula:

Sample mean = $50.40

Population standard deviation = $12.30

Sample size = 65

Using these values, we can calculate the confidence interval:

Confidence interval = $50.40 ± (1.96) × ($12.30 / √(65))

Calculating the value inside the parentheses:

($12.30 / √(65)) ≈ $1.52

Substituting this value into the formula:

Confidence interval = $50.40 ± (1.96) × $1.52

Calculating the values outside the parentheses:

$1.96 × $1.52 ≈ $2.98

Substituting this value into the formula:

Confidence interval ≈ $50.40 ± $2.98

Therefore, the 95% confidence interval is $47.42 to $53.38.

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Given equation is 4x²−y²=100. We can find the x- and y-intercepts of the equation as follows:

x-intercepts: The points that lie on the x-axis are called x-intercepts. When a point is on the x-axis, the y-coordinate is zero. Therefore, we can substitute y = 0 in the given equation to find the x-intercepts

.4x² − y² = 1004x² − 0² = 1004x² = 100x² = 100/4x² = 25x = ±√25x = ±5Therefore, the x-intercepts are (5, 0) and (-5, 0).

y-intercept: The point that lies on the y-axis is called the y-intercept. When a point is on the y-axis, the x-coordinate is zero.

Therefore, we can substitute x = 0 in the given equation to find the y-intercept.4x² − y² = 1004(0)² − y² = 1000 − y² = 100y² = 100 − 0²y² = 100y = ±√100y = ±10

Therefore, the y-intercepts are (0, 10) and (0, -10).

Hence, the x-intercepts are (5, 0) and (-5, 0) and the y-intercepts are (0, 10) and (0, -10).

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Answer: =-6.6n+8.7

3.7-4.6n-2n+5.

add the similare elimants : -4.6n - 2n= -6.6n,

=3.7 - 6.6n +5.

Then add the numbers: 3.7+5=8.7.

= -6.6n+8.7

HOPE THIS HELPED YOU, IF NOT SO SORRY MATE!!! :) IF WRONG PLEASE DO NOT REPORT THIS.

the answer to the question is 5.20XY cubed.

How to solve the problem?

The square root of 18 X to the seventh power Y to the sixth power can be simplified using the laws of exponents and radicals. First, we can express 18 as a product of its prime factors: 18 = 2 x 3 x 3. Then, we can write X to the seventh power as X to the sixth power times X, and Y to the sixth power as Y to the third power squared.

So, we have:

Square root of 18 X to the seventh power Y to the sixth power

= Square root of (2 x 3 x 3) X to the sixth power X Y to the third power squared

= Square root of 2 X to the sixth power Y to the third power squared times 3

= Square root of 2 X to the sixth power Y to the third power squared times square root of 3

Using the laws of exponents and radicals, we can simplify the square root of 2 X to the sixth power Y to the third power squared as X cubed Y cubed, and we can approximate the square root of 3 as 1.73. Therefore:

Square root of 18 X to the seventh power Y to the sixth power

= X cubed Y cubed times square root of 3

= 3XY cubed times 1.73

= 5.20XY cubed (rounded to two decimal places)

So, the answer to the question is 5.20XY cubed.

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Answer: -270

Step-by-step explanation:

First, simplify the exponent

\(-6*(25+20)\)

Then, distribute

\(-150+-120\)

Then, subtract(add a negative)

\(-270\)

Hope it helps <3 :)

According to the given information, we can draw the following

As you can observe in the image, MP is formed by OM plus PO by the sum of segments theorem, so using the given information, we have

If sin (α) =(5)/(13) in Quadrant I and cos(β) = (-12)/(13) in Quadrant II, then sin(α + β ) = -120/169 .So, the answer is option 1).

To evaluate sin(α + β), we can use the trigonometric identity:

sin(α + β) = sin α cos β + cos α sin β

First, we need to find cos α. Since sin α is positive and in Quadrant I, we can use the Pythagorean identity to find cos α:

cos α = √(1 - sin² α) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13

Next, we need to find sin β. Since cos β is negative and in Quadrant II, we can use the Pythagorean identity to find sin β:

sin β = -√(1 - cos² β) = -√(1 - (-12/13)²) = -√(1 - 144/169) = -√(25/169) = -5/13

Now we have all the values we need to evaluate sin(α + β):

sin(α + β) = sin α cos β + cos α sin β

= (5/13)(-12/13) + (12/13)(-5/13)

= -60/169 - 60/169

= -120/169

Therefore, the answer is option 1) -120/169.

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Step-by-step explanation:

I cannot draw here but f(x) + y simply means everything moves up by 6 units.

the line is parallel to the original line and goes now through the points (0, 4) and (1, 8).

\(\large\text{Hey there!}\)

\(\large\text{Guide:}\)

\(\large\textsf{Difference = Subtraction/Subtract}\)

\(\large\textsf{Number is unknown until we find it}\)

\(\large\textsf{Product = Multiplication/Multiply}\)

\(\large\textsf{Quotient = Division/Divide}\)

\(\large\textsf{Sum = Addition/Add}\)

\(\large\textsf{Now, that we have that information out the way, we can answer the}\\\large\textsf{question.}\)

\(\large\text{Question reads:}\)

\(\large\textsf{The PRODUCT of a NUMBER z & 12 is 60}\)

\(\large\text{Equation:}\)
\(\mathsf{12 \times z = 60}\)

\(\large\text{Simplify it:}\)

\(\mathsf{12 \times z = 60}\)

\(\mathsf{12z = 60}\)

\(\large\text{DIVIDE 12 to BOTH SIDES:}\)

\(\mathsf{\dfrac{12z}{12} = \dfrac{60}{12}}\)

\(\large\text{CANCEL out:}\) \(\rm{\ \dfrac{12}{12}}\)  \(\large\text{because it gives you 1.}\)

\(\large\text{Keep:}\)  \(\rm{\dfrac{60}{12}\)  \(\large\text{because it gives you the answer of the unknown number.}\)

\(\large\text{New equation:}\)

\(\mathsf{ x = \dfrac{60}{12}}\)

\(\large\textsf{Simplify it:}\)

\(\mathsf{x = 5}\)

\(\large\text{Therefore, your answer should be:}\)

\(\large\boxed{\mathsf{x = \frak{5}}}\large\checkmark\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

No, because it is plausible that she would make 3 or fewer shots by chance alone.

What is convincing evidence?

The proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent.

if our test statistic is: positive and greater than the critical value, then we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis. positive and lower than or equal to the critical value, we must accept the null hypothesis.

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Answer:

7

Step-by-step explanation:

42/6 = 7

The angles which are equivalent to sin \(\theta\) = √2/2 are,

Given sin \(\theta\\\) =  √2/2 the theta value is equal to 45° which is present in the first quadrant.

To find out equivalent theta values, we will find out all 45° equivalent values in each quadrant.

From the above analysis, the equivalent angles are 45°, 225°, 135° and 315°. So, the option A is correct.

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The given question is missing options. The complete question is,

Select all angle measures for which sin theta= -sqrt2/2

A) 45°, 225°, 135°, and 315°

B) 45°, 225°, 280° and 325°

C)60°, 90°, 225° and 135°

D)75°, 135°, 250° and 315°