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2 years ago

The two histograms below show the weights of dogs at two different veterinarian offices.

Mathematics

1 answer:

Sauron [17]2 years ago

6 0

Answer:

B.The mean weight of dogs at Lawrenceville’s Veterinarian Office is about 72 pounds and the mean weight of dogs at Snellville’s Veterinarian Office is about 73 pounds.

Step-by-step explanation:

Lawrenceville’s Veterinarian Office distribution is almost symmetrical so the mean is almost the same as the median

Snellville’s Veterinarian Office distribution is left skewed so mean is less than the median, mean is less than 76

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Find the value of x.

Brrunno [24]

Answer: x=133

Step-by-step explanation:

This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).

You first add up all your side:

150+130+97+120+90 +x = 587 + x

587+x = 720

x=133

3 0

2 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

7 0

2 years ago

Find the equation of the line<br> Slope =4/3<br> y-intercept =-5

AlladinOne [14]

Answer:

y=4/3x - 5

Step-by-step explanation:

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2 years ago

I WILL REPORT IF IT'S A LINK

Anit [1.1K]

Answer:

a) There will be approximately a water depth of 7.5 meters after 3h

b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.

Step-by-step explanation:

a) Look for the y-value when the x-value is 3.

b) Look for the x-value when the y-value is 8.

*The y-axis is the depth (m), and the x-axis is the time (h).

7 0

2 years ago

What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2

sweet-ann [11.9K]

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1

2. Interchange x and y: x = 2y + 1

3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2

3 0

2 years ago