Watch help video A certain television is advertised as a 40-inch TV (the diagonal length). If the width of the TV is 24 inches, how many inches tall is the TV?

Answer: about 1.6 or 1.7

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Answer:

\([-5,5]\)

Step-by-step explanation:

The range is the y-axis, and the endpoints are filled in, so we put brackets.

Side note:

This is called Interval Notation. This is very important when you ask for the domain and range of functions (domain is for the x-axis). You will see this system A LOT, so you have to get used to the name and the language Interval notation uses.

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Answer:  B. The triangle in question is a right triangle.

Reason:

The sides are

Plug them into the equation below and simplify both sides

\(a^2+b^2 = c^2\\\\3^2+4^2 = 5^2\\\\9+16 = 25\\\\25 = 25\\\\\)

Therefore, we have a right triangle. For more information, check out the converse of the pythagorean theorem.

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

the median i think is th 4.3 that is in the front and the 4.3 in the back because they are look like same numbers to me so thx

Step-by-step explanation:

pls brainly me of my answer

that the median the 2 4.3 ok

Answer:

4.1

Step-by-step explanation:

1) if to sort the given sequence to the largest term, then

3.3; 3.8; 3.8; 4.0; 4.2; 4.3; 4.3; 4.3.

2) the midpoint between 4.0 and 4.2 is 4.1, it means the median is 4.1.

The solutions for the trigonometric equation 15*sin(t)*cos(t) = -12*cos(t) are:

t =  π/2

t =  3π/2

t =  5.36

Here we want to solve the trigonometric equation:

15*sin(t)*cos(t) = -12*cos(t)

We can see that in both sides we have the cosine of t, so when that part becomes zero we have a solution, then at t = π/2 and 3π/2 we have solutions.

Now if we remove the cosines (we divide by cos(t) in both sides) then we will get:

15*sin(t) = -12

sin(t) = -12/15

t = Asin(-12/15) = 5.36

These are the 3 solutions.

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Answer:B

Step-by-step explanation:

Step-by-step explanation:

999 × 109 = 999000000000, 999 → 9,990 → 99,900 → 999,000 → 9,990,000 → 99,900,000 → 999,000,000 → 9,990,000,000 → 99,900,000,000 → 999,000,000,000. Nine hundred ninety-nine billion in numbers, generally speaking, is 999000000000. In figures, 999000000000 is written with thousand separators as 999,000,000,000.

The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

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Answer: The actual roots of f(x) = 2x² + 2x - 24 are -3 and 4.

Step-by-step explanation:

Answer:

probably linear graph 'cause it's in a straight line

Answer:

Step-by-step explanation:

First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

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Solution :

The formula for the linearization of a function \($f(x)$\) at a point \($x$\) = a is given as

\($L(x)=f(a)+(x-a)f'(a)$\)

Assuming the time is t and the distance travelled is \($f(t)$\), that makes the speed as \($f'(t)$\).

So substituting them in the linearization formula,

A. At t = 7 minutes

   f(7) = 2.5 km

    f'(7) = 0.5 kpm

  ∴ \($L_7(t)=f(7)+(t-7)f'(7)$\)

             \($=2.5+(t-7)0.5$\)

              \($=2.5+0.5t-3.5$\)

              \($=0.5t-1$\)

B. At t = 18 minutes

      f(18) = 14.8 km

    f'(18) = 0.8 kpm

  ∴ \($L_{18}(t)=f(18)+(t-18)f'(18)$\)

               \($=14.8+(t-18)0.8$\)

              \($=14.8+0.8t-14.4$\)

              \($=0.8t-0.4$\)

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

\($L_7(14)=0.5(14)-1.0$\)

          = 7 - 1

          = 6 km

\($L_{18}(14)=0.8(14)+0.4$\)

            = 11.2 + 0.4

            = 11.6 km

D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km

                                           = 3.5 km

And between the 14 minutes and 18 minutes is = 14.8 km - 6 km

                                                                              = 8.8 km

This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.

Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km

                                                           = 9.1 km

And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

                                                                       = 3.2 km

This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.  

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

\(\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)

D. 400 sq units

The surface area of the right prism given below is 432 square units.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a right prism.

The right prism consists of three rectangular faces and two triangular faces.

Area of a triangular face = 1/2 × 8 × 6 = 24

Area of two triangular faces = 2 × 24 = 48 square units

Area of rectangular faces = (10 × 16) + (8 × 16) + (6 × 16)

                                          = 384 square units

Total area of the prism = 48 square units + 384 square units

                                      = 432 square units

Hence the total area of the prism is 432 square units.

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Answer:

Step-by-step explanation:

slope = (3.75-0)/(3.5-2)=2.5

line equation y=mx+c

0 = 2.5*2+c       c=-5     y-intercept

Answer:

100,300,500

Step-by-step explanation:

Answer:

There is no attached table, however

1 cm = 10 mm

3 cm = 30 mm

5 cm = 50 mm

10 cm = 100 mm

30 cm = 300 mm

50 cm = 500 mm

Therefore, the potential numbers in the millimeters column are:

10, 30, 50   and/or   100, 300, 500

(depending upon the numbers in the centimeter column)

When the acceleration is 7 m/s², it means that the force will be 70 N.

From newton's first law of motion, we know that;

F = ma

where;

m is mass

a is acceleration

We are given;

F = 60 N

a = 6 m/s²

Thus;

m = F/a = 60/6

m = 10 kg

When acceleration is 7 m/s², we have;

F = 10 * 7

m = 70 N

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Answer:

\((x+2)^2+(y-4)^2=16\)

Step-by-step explanation:

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is \(4\).

We know that the circle is tangent to the \(X\) axis at \((-2,0)\)

That means the x coordinate of the center has to be \(-2\), as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is \((-2, 4)\) and a point on the edge of the circle (the tangent point) which is \((-2,0)\). so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is \((x-h)^2+(y-k)^2=r^2\) where \((h,k)\) is the center and \(r\) is the radius. When we put the numbers in: we get \((x-(-2))^2+(y-(4))^2=4^2\) which can be simplified into \((x+2)^2+(y-4)^2=16\) which is the answer.

Answer:

2.5

Step-by-step explanation:

I took the test :)

30 + 110 + 30 + 110 = 280

360-280 = 80

2y = 80

y = 40 degrees

If y is 40. Then the angle next to 30 is also y due to vertically opposite angles.

30 + 40 = 70

The line with 2 arrows is parallel to the line with x degrees. So, I use co-interior angles adds to 180.

In that c shaped, we got the bottom angle to be 70 & the top to be 110 because co-interior angles =180

Forget the c shape exists, and move onto the triangle that's visible. The top angle is 110 as found.

Angles in triangle add to 180.

180 - 110 - 30 = 40.

Thus, x = 40 degrees

There's a short cut I realise now because we can have alternate angles are equal; creating a z shape to find what x is equal to & that turns out to be the same value as y. ( due to vertically opposite angles)

Hope this helps!

Answer:

1. The critical value to be used for constructing the confidence interval is 1.415

2. The standard error of the sampling distribution to be used in constructing the confidence interval, is approximately 6.260

Step-by-step explanation:

The number of mail-order receipts, n₁ = 8 sales receipts

The mean amount of sale, \(\bar x_1\) = $69.30

The standard deviation of the sample, σ₁ = $26.25

The number of internet sales receipts, n₂ = 17 sales receipts

The mean amount of sale, \(\bar x_2\) = $75.90

The standard deviation of the sample, σ₂ = $28.25

1. Where the population variance are not equal, we have;

\(\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}\)

Where;

\(t_c\) = The critical value for constructing the confidence interval

\(\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}\) = \(S.E_{\bar{x}_1-\bar{x}_{2}} =\) The standard error for constructing the confidence interval

The degrees of freedom, df = n₁ - 1 = 8 - 1 = 7

The t-value at 90% confidence level, and degrees of freedom of 7, \(t_{90\%, 7}\), from the tables is given as follows;

\(t_c\) = \(t_{90\%, \, 7}\) = 1.415

The critical value for constructing the confidence interval = \(t_c\) = 1.415

2. The standard error of the sampling distribution to be used in constructing the confidence interval, \(S.E._{\bar{x}_1-\bar{x}_{2}}\), is given as follows

\(S.E_{\bar{x}_1-\bar{x}_{2}} = \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}\)

\(S.E._{\bar{x}_1-\bar{x}_{2}} = \sqrt{\dfrac{26.25^{2}}{8}-\dfrac{28.25^{2}}{17}} \approx 6.260\)

\(S.E._{\bar{x}_1-\bar{x}_{2}}\) ≈ 6.260

The standard error of the sampling distribution to be used in constructing the confidence interval, \(S.E._{\bar{x}_1-\bar{x}_{2}}\) ≈ 6.260

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

The distributive property is given as:

a(b + c) = ab + ac

3(20 + 16) = 3(20) + 3(16) = 60 + 48 = 108

Also:

4(13 + 14) = 4(13) + 4(14) = 52 + 56 = 108

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

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Answer:

Step-by-step explanation:

16 cm