Wanda drove 392 miles in 14 hours. What is her unit rate of miles per hour?

Answer:

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the Mods are Annoying and very skeptic of the Guidelines of Brainly.

647.2 is your answer

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Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x²  + 6x  – 8.

Use the concept of quadratic function defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

The given functions are:

f(x) = 5x² + 9x – 4

g(x) = – 8x² – 3x – 4

Since (f + g)(x) = f(x) + g(x)

Then put the functions,

(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)

Rearranging like terms,

(f + g)(x) = 5x²– 8x²  + 9x – 3x – 4  – 4

Simplifying it,

(f + g)(x) = -3x²  + 6x  – 8

Hence,

The expression for (f + g)(x) is -3x²  + 6x  – 8.

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Answer:

Yes

Step-by-step explanation:

4*180

2*360

1*720

8*90 = 720

Yes, halving the denominator and doubling the numerator gives the same results so she is correct.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It shows how many parts have been taken out of the whole. The numerical number that comes before the sum of all the factors is the denominator of a fraction.

Let's consider a multiplication a × b

If we do half of a and double of b

Then,

a/2 × 2b = a × b

Again,

(a/2)/2 × 2(2b) = a × b

So it will remain the same.

So similarly  8 x 90 will also remain the same.

Hence "Yes, halving the denominator and doubling the numerator gives the same results so she is correct".

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Answer:

It provides different and sometimes opposing viewpoints about an event.

Answer:

its 65

Step-by-step explanation:

if you add it up u would see

Step-by-step explanation:

Given

length(l)=3cm

height(h)=4cm

breath or width (b)=2×h=2×4=8cm

now it is a cuboid

volume of cuboid=l×b×h=3×8×4=96cm³

Answer:32,cm3

Step-by-step explanation:

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°

Answer:

D

Step-by-step explanation:

The researcher did no prediction or any (possible)

Hope this helps :)

Answer:

Degree of freedom = 798

Step-by-step explanation:

Given that,

First random sample, n₁ = 436

Second random sample, n₂ = 364

So,

Degree of freedom = n₁ + n₂ - 2

                                = 436 + 364 - 2

                                = 798

⇒Degree of freedom = 798

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

Answer:

B import food from other countries

N is to the left of the zero which means it is a negative number.

P is the the right of zero which means it is a positive number.

A negative number is less than a positive number, so the answer would be:

The number with the least value is N

The number with the greatest value is P

Answer:

[tex] \frac{3}{6} [/tex]

Answer:

Pretty sure it would be b because it keeps scaling as the x axis continues with time

Answer:

4/6 or 2/3. Depends if your teacher wants it reduced.

Step-by-step explanation:

Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6

Answer:

(a)

[tex]\bar x_1 =41.33[/tex]     [tex]\sigma_1 = 7.48[/tex]

[tex]\bar x_2 =22.3[/tex]       [tex]\sigma_2 = 4.53[/tex]

(b)

[tex]d = 19.03[/tex]

(c)

[tex]CI = 16.33[/tex] to [tex]21.73[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 10\\ n_2 = 12[/tex]

And the accompanying data for private (1) and public (2) colleges

Solving (a): The sample mean and sample standard deviations

Private College

Calculating sample mean

This is calculated as:

[tex]\bar x_i = \frac{\sum x_i}{n_i}[/tex]

[tex]\bar x_1 =\frac{52.8+30.6+43.2 +45.8 +33.3+33.3 +50.5 +44.0 +42.0 +37.8}{10}[/tex]

[tex]\bar x_1 =\frac{413.3}{10}[/tex]

[tex]\bar x_1 =41.33[/tex]

Calculating sample standard deviation

This is calculated as:

[tex]\sigma_i = \sqrt\frac{\sum(x_i - \bar x_i)}{n_i-1}[/tex]

[tex]\sigma_1 = \sqrt\frac{(52.8-41.33)^2+(30.6-41.33)^2+.........+(37.8-41.33)^2}{10-1}[/tex]

[tex]\sigma_1 = \sqrt\frac{503.261}{9}[/tex]

[tex]\sigma_1 = \sqrt{55.9178888889[/tex]

[tex]\sigma_1 = 7.4778264816[/tex]

[tex]\sigma_1 = 7.48[/tex] -- approximated

Public College

Calculating sample mean

[tex]\bar x_2 =\frac{20.3 +22.8 +28.2 +18.5 +15.6 +25.6+ 24.1 +14.4 +28.5 +21.8 +22.0 +25.8}{12}[/tex]

[tex]\bar x_2 =\frac{267.6}{12}[/tex]

[tex]\bar x_2 =22.3[/tex]

Calculating sample standard deviation

[tex]\sigma_2 = \sqrt\frac{(20.3 -22.3)^2+(22.8 -22.3)^2+(28.2 -22.3)^2+(18.5 -22.3)^2+(15.6 -22.3)^2+................+(25.8-22.3)^2}{12-1}[/tex][tex]\sigma_2 = \sqrt\frac{225.96}{11}[/tex]

[tex]\sigma_2 = \sqrt{20.5418181818[/tex]

[tex]\sigma_2 = 4.532308262[/tex]

[tex]\sigma_2 = 4.53[/tex] -- approximated

Solving (b): Point estimate of the difference between the two population means

This is calculated as:

[tex]d = \bar x_1 - \bar x_2[/tex]

[tex]d = 41.33 - 22.3[/tex]

[tex]d = 19.03[/tex]

Solving (c): 95% confidence interval

First, calculate the degrees of freedom:

[tex]df = \frac{(\sigma_1^2/n_1 + \sigma_2^2/n_2)^2}{\frac{(\sigma_1^2/n_1)^2}{n_1 - 1} + \frac{(\sigma_2^2/n_2)^2}{n_2 - 1}}[/tex]

[tex]df = \frac{(7.48^2/10 + 4.53^2/12)^2}{\frac{(7.48^2/10)^2}{10 - 1} + \frac{(4.53^2/12)^2}{12 - 1}}[/tex]

[tex]df = \frac{53.3647}{31.3045/9 + 2.9244/11}[/tex]

[tex]df = \frac{53.3647}{3.7441}[/tex]

[tex]df = 14.2530[/tex]

[tex]df = 14[/tex]

Calculate the critical value (t)

At 95% confidence interval and df = 14;

[tex]df = 14[/tex]

The confidence interval is then calculated as:

[tex]CI = (\bar x_1 - \bar x_2) \± \sqrt{\sigma_1^2/n_1 + \sigma_2^2/n_2}[/tex]

[tex]CI = (41.33 - 22.3) \± \sqrt{7.48^2/10 + 4.53^2/12}[/tex]

[tex]CI = 19.03 \± \sqrt{7.305115[/tex]

[tex]CI = 19.03 \± 2.70[/tex]

Split

[tex]CI = 19.03 - 2.70[/tex] to [tex]19.03 + 2.70[/tex]

[tex]CI = 16.33[/tex] to [tex]21.73[/tex]

This implies that:

Private colleges have population mean annual cost of $16.33 to $21.73 more expensive than public colleges

Answer:

A, B, and C All have four sides, and they all have opposite sides that are equal. B and C have right angels. A has angels on opposite side that are the same

Step-by-step explanation:

Answer:

6.06

Step-by-step explanation:

first draw a diagram, that'll make life easier,

then;

tan68 = opposite/adjacent

tan68 = 15/x

x = 15/tan68

x = 6.06

Answer:

B

Step-by-step explanation:

the mean of A

= (84 + 84 + 85 + 86) ÷ 4

= 339 ÷ 4

= 84.75

the median of A

= (84 + 85) ÷2

= 169 ÷ 2

= 84.5

84.75 > 84.5

the mean of B

= (74 + 79 + 82 + 87) ÷ 4

= 332 ÷ 4

= 80.5

the median of B

= (79 + 82) ÷2

= 161 ÷ 2

= 80.5

80.5 = 80.5

the mean = the median

the mean of C

= (63 + 66 + 67 + 68) ÷ 4

= 264 ÷ 4

= 66

the median of C

= (66 + 67) ÷2

= 133 ÷ 2

= 66.5

66 < 66.5

the mean of D

= (14 + 16 + 18 + 19) ÷ 4

= 67 ÷ 4

= 16.75

the median of D

= (16 + 18) ÷2

= 34 ÷ 2

= 17

16.75 > 17

Answer:

2

Step-by-step explanation:

Since with every 10 seconds, the distance increase by 20 meters

hence, 20/10 = 2

This additition is false

the true answer is 705

Its base on my understanding:)

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Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.

I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.

The region is then the set of points,

R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}

so the area is given by the integral,

[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]

Answer: 1 = 90 2=58 3=90 6=58 7=8

Step-by-step explanation:

I don’t know what 4 and 5 are

Answer:

45

Step-by-step explanation:

9x10/2=45

Answer:

9;11 is answer

Step-by-step explanation:

number of women=100 - 45 = 55

men; women= 45;55

= 45/55

=9/11

=9;11