All categories

2 years ago

Describe what happens to a figure when the given sequence of transformations is applied

Mathematics

1 answer:

Tomtit [17]2 years ago

6 0

Answer:

After the sequencing of transformations, reflection over the y-axis.

dilation with a scale factor of 0.5

translation 2 units left and 2 units up

Step-by-step explanation:

You might be interested in

onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula

earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

5 0

3 years ago

Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternat

Ghella [55]

Answer:

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Step-by-step explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7

3 0

2 years ago

(5/7) ÷ (1/3) hehdhdhhdvjshshhsjshdgdhshdhhd

Kaylis [27]

5/7 ÷ 1/3 = 5/7 × 3/1 = 15/7

7 0

3 years ago

What is the volume of the prism?

jeka57 [31]

The volume prism refers to the number of cubic units that will exactly fill the figure. The volume of a rectangular prism can be found or calculate by using the formula V=Bh, where B represents to the area of the base or in other words the length and width of the rectangle.

In this exercise is given that the measurements of a prism are 5/2ft, 3/2ft, and 7/2ft; and it is asked to find its volume. In order to find the volume of the prism, you should substitute the given values into the previous mention formula.

V=Bh
V=(5/2 ft)(7/2 ft)(3/2 ft)
V=(35/4 ft²)(3/2 ft)
V=105/8ft³ or $13 \frac{1}{8}$ ft³

The volume of the rectangular prism is $13 \frac{1}{8}$ ft³.

5 0

3 years ago

(answer with "sometimes, always, or never true") <br> A decimal number is an irrational number.

xxMikexx [17]

Answer:

Step-by-step explanation:

Sometimes. If the decimal never repeats itself and never ends, like pi, it is irrational. But if the decimal is .5 or .333333333333333... it either terminates (ends) or repeats itself forever, making it rational.

7 0

2 years ago