Tell whether the angles are complementary or supplementary. Then fir
the value of x.

Answer: 1770 rupees

Step-by-step explanation:

To solve this, we first calculate the simple interest which will be:

= (P × R × T) / 100

= (1500 × 9% × 2) / 100

= (1500 × 0.09 × 2) / 100

= 270

The total amount tha she'll get will be:

= 1500 + 270

= 1770 rupees

The decimal equivalent in base 10 of the largest number a system can represent depends on the number of digits available and the base value.

In any number system, the largest number that can be represented depends on the number of available digits and the base value. For example, in the decimal system (base 10), we have ten digits from 0 to 9. With these digits, the largest number we can represent with n digits is (10ⁿ- 1).

In general, if a system has a base value of b and n digits available (0 to b-1), the largest number it can represent is (bⁿ - 1). This is because the value of each digit position increases exponentially with the base value. The leftmost digit represents the base raised to the power of (n-1), the second leftmost digit represents the base raised to the power of (n-2), and so on.

For example, in the binary system (base 2), we have two digits 0 and 1. With just one digit, we can represent the numbers 0 and 1. With two digits, we can represent (2² - 1) = 3, which is the largest number in base 2 with two digits.

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The experimental design used in this case is a pre-post or before-after design. The response variable is the knowledge-gained score. The treatment in this experiment is the instructional intervention.

(a) The experimental design used in this case is a pre-post or before-after design. This design involves measuring the same individuals or groups before and after a treatment or intervention to assess any changes or differences. In this scenario, the pre-test and post-test are conducted to evaluate the impact of the intervention (teaching) on student learning.

(b) The response variable in this experiment is the knowledge-gained score. It represents the difference or change in test scores between the pre-test and post-test. The knowledge-gained score serves as a measure of the extent to which students' learning has improved as a result of the math course and instructional intervention.

(c) The treatment in this experiment refers to the instructional intervention implemented by the mathematics professor. It encompasses the various teaching methods, strategies, and materials employed to facilitate student learning in developmental math courses. The treatment could involve activities such as lectures, interactive discussions, practice exercises, assignments, or additional support provided to the students to enhance their math skills and knowledge.

By comparing the pre-test and post-test scores, the professor can determine the effectiveness of the treatment in improving student learning. The knowledge-gained score provides a quantitative measure of the extent to which students' knowledge and understanding have progressed over the course of the intervention. This information can be valuable for assessing the impact of the math courses and guiding future instructional practices.

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Answer:

-12

Step-by-step explanation:

First, substitute the variables with the numbers.

(18-(-2*-5))+4(-5)

Using the order of operations, solve in the parentheses before anything else.

(18-(-2*-5))+4(-5)

(18-(10))+4(-5)

We can now multiply 4 by -5.

(18-(10))+4(-5)

(18-10)-20

It's probably easier if we subtract 10 from 18 before subtracting 20.

(18-10)-20

8-20

-12

Hope this helps you out!! Have a wonderful day c:

Answer:

y=15.50x

Step-by-step explanation:

The best way to represent this data that illustrates change in average temperature over time by using Bar charts

Bar charts are used to display information that falls into specific categories in various groups or subgroups. Our goal is to show the average temperature over a 5 years period, so a bar chart is the best tool for that.

This is also useful for showing trends and changes in  temperatures over a 5 years

hence, the best way to represent this data that illustrates change in average temperature over time by using Bar charts

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Answer: Choice A

4^2 + b^2 = 5^2

This is due to the pythagorean theorem.

hope this helps you

The area of the resulting slick is 1. 5 μm²

The formula for area of a cube is expressed as;

Area = 6 a²

Where,

a = length of its side

From the information given, we have that;

a = 0.50 μm

Substitute into the formula

Area = 6 × (0.50)²

Area = 6 × 0. 25

Area = 1. 5 μm²

Thus, the area of the resulting slick is 1. 5 μm²

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The interquartile range is least affected by an outlying value in the data set of the range, interquartile range, and variance is True.

Max to min value is the range. Range can substantially change if there are any outliers.

Since the threshold values for Q3 and Q1 are not outliers, the IQR won't change.

Outliers cause variance to be misinterpreted since they vastly increase variance.

Interquartile range:

You may determine the spread of the midpoint of your distribution using the interquartile range.

The interquartile range contains half of the values for any distribution that is ordered from low to high. The first 25% of values are found in the first quartile (Q1), while the last 25% are found in the fourth quartile (Q4).

The third quartile (Q3) less the first quartile (Q1) is the interquartile range (Q1). This provides us with the data set's middle half's range.

The interquartile range is calculated using only 2 values, much like the range. The IQR, however, is less impacted by outliers because the two values are more likely to be average scores because they are drawn from the middle of the data set.

The IQR provides a reliable indicator of variability for both skewed and normal distributions.

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Answer:

Heres your answer y=x^2 +7x-30

Answer:

y=x^2 +7x-30

Step-by-step explanation:

Hope this helps

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

Answer:

Are you ok

Step-by-step explanation:

brainliest

Answer:

$50.40

Step-by-step explanation:

To find how much Lana will pay in total follow these steps.

First, multiply 40 by 1.05.

40×1.05=42.

This is how much she will pay for the food plus tax.

Now, multiply 42 by 1.2.

42×1.2=50.40

This is how much she will pay for the food, tax, and tip.

Lana will pay a total of $50.40.

Hope this helps!

Answer:

1500

Step-by-step explanation:

7 plus 8 equal 15 and add two zeros at the end

Answer:

659.73

Step-by-step explanation:

A=2πrh+2πr2

We can conclude that -

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.

Original price -

$54

Cost after 40% discount -

54 - {40% of 54}

54 - {40/100 x 54}

54 - {2/5 x 54}

54 - 21.6

$32.4

Cost after 5% discount -

32.4 - {5% of 32.4}

32.4 - {5/100 x 32.4}

32.4 - 1.62

$30.78

{ 3 } -

Calculating 60% of new price -

60% of 30.78

(60/100) x 30.78

18.5

Calculating 40% of new price -

40% of 30.78

(40/100) x 30.78

12.4

So, 60% of new price is greater than calculating 40%.

So, Manny is correct.

Therefore, we can conclude that -

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If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32

area of rectangle = lw

where

Therefore,

Peter rectangular garden

Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.

Therefore,

The ratios are as follows;

(15 + x)x : x²

Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:

(15 + 32)32 : 32²

1504: 1024

752: 512

376: 256

94:64

47: 32

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Answer:

(x+15)/x; 47/32

Answer:

All of them work just depends on which coordinate you use.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You can cross off B because 1 × 2 does not equal 7

and A because 2×6=12 not 10

and c because 4×3 does not equal 16

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

Answer:

3.71 yd

Step-by-step explanation:

Heron's formula:

area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))

so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c

a = 6

b = 10

c = 14

a+b+c = 30

-a+b+c = 18

a-b+c = 10

a+b-c = 2

x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =

= sqrt(10800)/28 = sqrt(400×9×3)/28 =

= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =

= 3.711537 yd

The data plotted on the scatter plot reveals there is a positive linear association between the number of hours worked and tips earned. (Option C).

Recall:

The scatter plot given shows a trend line of the data. It also shows that as time worked increases, tips earned also increases. This shows a positive linear association between tips earned and time worked. (Option C).

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Answer:

The answer is B cause thats the slope of the line

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

for starters the equation is:

y = -2/4 + 3

It then simplifies to:

y = -1/2 + 3

Making your answer B.

True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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The trigonometric ratios have been determined and the angles T and U are complementary.

Trigonometric Ratios are ratios of the side of a right-angled triangle. These are used to find the missing sides and angles of a right-angled triangle.

A right-angled triangle is a triangle with a measure of one of the angles as 90 degrees.

The triangle TUV is a right-angled triangle, the sides of the triangle are t, u, and v.

Part 1:

The angle T is not equal to angle U.

But by the angle sum property,

T + U + V = 180

T + U = 90

Both the angles are complementary.

Part 2:

The trigonometric ratios are as follows:

sin T = t/v

cos T = u/v

sin U = u/v

cos U = t/v

Part 3:

From the data in part 2,

Options C and D are the correct statements.

sin T = cos U

cos T = sin U

Part 4:

sin 37 = cos ( 90-37)

sin 37 = cos 53

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The assumption underlying the independent samples t-test is that the scores must be drawn from a normally distributed population. Option A is correct.

A t-test is a statistical method that determines whether two groups of observations are significantly different from one another. When comparing the means of two populations, the t-test is commonly used. The t-test is used to determine whether two groups' means are significantly different when the samples are drawn from normally distributed populations with equal variances.

The t-test is a powerful tool for determining whether a sample is significantly different from a population or whether two samples are significantly different from one another. The independent samples t-test, as opposed to the dependent samples t-test, is a t-test that compares the means of two independent groups. In this situation, the groups are separate and distinct.

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Answer:

The answer is A

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3