$1400 deposit that earns 10% annual interest compounded semiannually
Write a function that represents the balance after t years

Answer:

Happy Friday

Step-by-step explanation:

Answer:

I NEED BRAINLIST URGENTLY

Your answer is y= 4 sin 7 square

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Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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A equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x

We know that the formula for the slope-point form of equation of line:

(y - y1) = m(x - x1)

Let (x1, y1) = (-16, 7)

and slope m = -7/16

Using above formula,

(y - 7) = (-7/16)(x - (-16))

y - 7 = (-7/16)(x + 16)

y = -7/16x - 7 + 7

y = (-7/16)x

This equation is slope-intercept form (y = mx + c) with slope -7/16 and y-intercept 0.

Therefore, a equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x

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Answer:

P98 = 16.154in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in.

This means that \(\mu = 14.4, \sigma = 1\)

Find P98

This is the 98th percentile, that is, X when Z has a pvalue of 0.98, so X when Z = 2.054.

\(Z = \frac{X - \mu}{\sigma}\)

\(2.054 = \frac{X - 14.1}{1}\)

\(X = 2.054 + 14.1\)

\(X = 16.154\)

So

P98 = 16.154in

Answer:

47.25/cm

Step-by-step explanation:

35 x .35 = 12.25

35 + 12.25 = 47.25 cm

Answer:

it's 2 to the power of 5, 2 to the power of 2 + 3 to the power of 2 and the last one is 3 to the power of 3 - 3 to the power of 2

Answer:

can you plz picture the graph so my answer you correctly .

Answer:

\(9\dfrac{5}{6}\)

Step-by-step explanation:

\(5\dfrac{1}{6}+4\dfrac{2}{3}=\\\\5\dfrac{1}{6}+4\dfrac{4}{6}=\\\\9\dfrac{5}{6}\)

Hope this helps!

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

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Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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Answer:

4,415.1515...

Step-by-step explanation:

To find the value of the number that 1457 is 33% of, we can change the percentage into a decimal then divide.

33% = 0.33

1457 / 0.33 = 4,415.1515...

Best of Luck!

Answer:

480.81

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

33% = 33 'out of one hundred',

p% is read p 'percent',

33% = 33/100 = 33 ÷ 100.

Calculate percentage:

'Percentage' is obtained by multiplying 1,457 by 33%.

33% × 1,457 =

(33 ÷ 100) × 1,457 =

(33 × 1,457) ÷ 100 =

48,081 ÷ 100 =

480.81

Answer:

Qhahhhhahahahaaahha

Answer:

At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later

Step-by-step explanation:

Refer the attached figure

\(\angle A =45+90=135^{\circ}\)

We are given A plane flying with a constant speed of 29 km/min passes over a ground radar station at an altitude of 15 km

\(\frac{dy}{dt}=29\)

x=15 km

We will use cosine law

\(z^2=x^2+y^2-2xy Cos A\\z^2=15^2+y^2-30y Cos A\\z^2=225+y^2-30y Cos A\)----1

Differentiating

\(2z\frac{dz}{dt}=2y\frac{dy}{dt}-30Cos(135^{\circ})\frac{dy}{dt}\)----2

\(\frac{dy}{dt}=29\\y=5 \times 29 =145\)

Substitute values in 1

\(z^2=225+(145)^2-30(145) Cos (135)\\z=\sqrt{225+(145)^2-30(145) Cos (135)}\)

z=155.96 km

Substitute values in 2

So, \(2(155.96)\frac{dz}{dt}=2(145)(29)-30Cos(135^{\circ})(29)\)

\(\frac{dz}{dt}=\frac{2(145)(29)-30Cos(135^{\circ})(29)}{2(155.96)}\)

\(\frac{dz}{dt}=28.93\)

Hence At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later

The rate at which the distance from the plane to the radar station is increasing 5 minutes later is; 28.85 km/min

Since the train passes at an altitude of 15 km.

Let us say a = 15 km

Then it climbs at an angle of 45°

Plane is flying at a speed of 29 km/min

Thus, in t minutes, it will have flown a distance of 29t km

     Now, the distance of the plane from the radar station t minutes later is gotten by Pythagoras theorem as;

x(t) = √[(29t)² + (15²)]

x(t) = √(841t² + 225)

x'(t) = dx/dt = 841t/(√(841t² + 225))

After t = 5 minutes, we have;

x'(5) = (841 × 5)/(√((841 * 5²) + 225))

x'(t) = 4205/145.7738

x'(t) = 28.85 km/min

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In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Answer:

oh um thank you

Step-by-step explanation:

have a great day

Answer:

Thank you so much, but can I get Brainiiest I was first. :)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

One is a horizontal line, and the other is a vertical line.

Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.

Step-by-step explanation:

Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself

Step-by-step explanation:hope that helps

Step-by-step explanation:

Let ABC be the equilateral triangle. Let AE, BD and CF be the medians. A meridian divides a side into two equal parts. Hence, proved that medians of an equilateral triangle are equal .

Answer:

4sqrt(15)

Step-by-step explanation:

a² + b² = c²

x² + 7² = 17²

x² + 49 = 289

x² = 240

\(\sqrt{x^2} =\sqrt{240}\)

\(x=4\sqrt{15}\)

The option that shows the terms are written in standard form is: 5x³ + x² - 2x - 4.

The standard form of a polynomial is expressed in a specific way of where the terms in the polynomial are written in descending order of degree and the coefficients are written as integers, such as:

\(f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0\)

where we have:

n = non-negative integer,

\(a_n, a_{n-1},..., a_2, a_1,\) = constants

x = variable.

A polynomial expression is written in standard form by arranging the terms in descending order of degree of the variable x, and also write the coefficients as integers.

Therefore, the correct answer is: 5x³ + x² - 2x - 4

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P is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P if P(x) is a polynomial with integer coefficients and if is a zero of P(x) (P() = 0). (x).

The Reasonable Zeros Theorem can be used to locate every rational zero in a polynomial.

According to the Rational Zeros Theorem, if P(x) is an integer-coefficient polynomial and is its zero (P() = 0), then p is a factor of P(xconstant )'s term and q is a factor of P's leading coefficient (x).

Finding the rational solutions to a polynomial equation is done using the rational root theorem, as its name suggests (or zeros or roots of a polynomial function). The answers obtained from any polynomial equation are referred to as the roots or zeros of polynomials. It's not necessary for a polynomial to have rational zeros.

So, to find rational zero theorem states:

If  P(x) is a polynomial with integers coefficients and if is a zero of P(x)(P()=0), then

P is a factor of the constant term of P(x) and q is a factor of of the leading coefficient

Of P(x).

To find all the rational zero of a polynomial we can use the rational zeros theorem

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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The value of x using the square root method is 13

Square root of a number can be defined as a value, which when multiplied by itself gives the original number.

The square root of a number is known as the value of power half (1/2) of that number.

It is represented with the symbol as "√"

Example:

The square root of 144 is expressed as;

√144 = 12

Given the expression;

(x-7)^2=36

Find the square root of both sides

√(x-7)^2 = √36

x - 7 = 6

collect like terms

x = 6 + 7

x = 13

Thus, the value of x using the square root method is 13

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The volume of the block after cutting the smaller cubes is:

volume = (8/25 cm^2)

First, we need to get the volume of a cube with a sidelength of 4/5 cm, this is:

V = (4/5 cm)^2 = (16/25 cm^2)

Now, we need to remove the volume of the 8 smaller cubes removed, the volume of each one of these is:

v = (1/5 cm)^2 = (1/25 cm^2)

The volume of the block after cutting out the smaller cubes is:

V - 8v = (16/25 cm^2) - 8*(1/25 cm^2) = (8/25 cm^2)

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