I am paying $60.00 a month for my service. I would like to upgrade to the $80.00 service package because my new employer offers

Answer:

The accurate representations are:

- 6x + 15 < 10 - 5x ⇒ 3rd option

A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)

Step-by-step explanation:

Given the inequality is -3(2x - 5) < 5(2 - x)

First, simplify both sides:

∵ -3(2x - 5) = -3(2x) + -3(-5)

Remember that (-)(-) results in (+)

Thus, -3(2x - 5) = - 6x + 15

∵ 5(2 - x) = 5(2) + 5(-x)

Remember that (+)(-) results in (-)

Then, 5(2 - x) = 10 - 5x

Now we have: - 6x + 15 < 10 - 5x

Subtract 15 from both sides

So: - 6x < -5 - 5x

Add 5x to both sides

Thus, - x < - 5

Note that since the coefficient of x is negative, we reverse the inequality sign when dividing both sides by it

∵ The coefficient of x is -1

Therefore, dividing both sides by -1 gives us x > 5

The accurate representations are:

- 6x + 15 < 10 - 5x ⇒ 3rd option

A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)

Response:

Option E is the right choice.

A connection seems evident between the app and the reduction of daycare-related illnesses.

Step-by-step breakdown:

Research involved 1200 randomly chosen parents, revealing that the kids of parents who utilized the app had an average of 10 fewer cases of daycare illnesses compared to those whose parents didn’t download it during the study duration.

Reviewing the options individually

a. Since using the app appears to lower child sickness, its effectiveness should extend to decreasing child neglect as well.

The study indicates a reduction in daycare-related illnesses for those using the app but does not address neglect, making this conclusion incorrect.

b. Using the app will ensure daycare employees do not transmit germs.

The research didn't examine how the app functions, nor whether it stops daycare workers from transmitting germs. Thus, this conclusion lacks accuracy.

c. The analysis was performed as an experiment, not an observational study.

In reality, it was primarily observational. Such studies document results without manipulation by the researchers.

d. The sample size of the study was inadequate for drawing conclusions.

A pool of 1200 is sufficiently large to reflect the wider population’s characteristics. Therefore, this assertion is also incorrect.

e. A link seems to exist between the app and reduced transmission of daycare illnesses.

From the provided details, it’s clear that the findings of this study depict a link between using the app and a marked decrease in daycare-related illnesses among children of those who have downloaded it. Hence, the app likely plays a role in lowering the risk of such illnesses in their children.

Hope this is helpful!

Answer:

Circle diameter = 1.6 Cm

Detailed explanation:

Information provided:

Distance from the first to the third coin = 3.2 cm

Question to solve:

What is the diameter of each coin?​

Calculations:

Total number of circles = 3

According to the diagram, the space between the first and third coins measures 3.2 cm.

Thus,

Space = radius of the 1st circle + diameter of the 2nd circle + radius of the 3rd circle

Space = radius of the 1st circle + 2 (radius) + radius of the 3rd circle

Space = R + 2R + R

3.2 Cm = 4 R

Radius = 0.8 Cm

Diameter = 2 × radius

Diameter = 2 × 0.8

Diameter = 1.6 Cm

Answer: There exists a distinction between rote counting and rational counting. Rote counting requires memorizing sequences of numbers, whereas rational counting informs children about "how many items there are." For children to engage in rational counting, they must exhibit one-to-one correspondence.

Response:

0011100000

1010010001

0111001110

Detailed explanation:

Since the question is incomplete, here is the full question.

Assume the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Represent each of these sets using bit strings, where the ith bit indicates 1 if the element i is part of the set, and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

Thus, we need to convert a), b), and c) into bit strings.

To begin with, the number of items in the universal set determines the number of bits in the bit string.

Next, a 1 denotes the presence of an element both in the universal set and in the subset.

A 0 indicates that an element is absent from the subset but present in the universal set.

Therefore, we obtain:

a) Subset {3,4,5} = 0011100000  (As it contains 3 ones, it shows that only 3,4,5 are included in both the universal and the subset.

In the same way,

b) Subset {1, 3, 6, 10} = 1010010001

c) Subset {2, 3, 4, 7, 8, 9} = 0111001110