The solids are similar give the scale factor, surface area ratio and volume ratio of the figure below

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:x\(\geq\)1

Step-by-step explanation:

remove the brackets

7x+49≤56

collect like terms

7x≤56-49

7x\(\geq\)7

divide both sides by 7

x\(\geq\)1

The sum of the sequence is 750

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

\(S = \frac{a}{1 - r}\)

This gives

\(S = \frac{150}{1 - 0.8}\)

Evaluate

S = 750

Hence, the sum of the sequence is 750

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Answer:

B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.

Step-by-step explanation:

Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth

Answer:

The answer is D. Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Step-by-step explanation:

I took the test

Answer:

y=3x^2

Step-by-step explanation:

edge

Answer:

he's right

Step-by-step explanation:

According to the question the volume of soil in Pedro's planter box is 56 cubic feet (ft³).

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is measured in units of cubic centimeters (cm3), cubic meters (m3) or liters. Volume is an important concept in many areas of mathematics, including geometry, calculus and physics. It is also a key concept in many other disciplines, including engineering, architecture and the sciences. Volume is an important property of a solid object, and it is often used to quantify the size or capacity of an object. Volume can be calculated by multiplying the length, width and height of an object. It can also be calculated using the formula for the volume of a cylinder, cone, sphere or other shapes.

To calculate this, we need to multiply the length of the planter box (7 ft) by the width (4 ft) by the height of the soil (2 ft). This gives us the following equation: 7 ft x 4 ft x 2 ft
= 56 ft³.

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9514 1404 393

Answer:

Step-by-step explanation:

The result each should have obtained is ...

  a +10 = 17

  a = 7

Braulio's mistake was in using 1 as his divisor instead of -1. His bottom row should have been 1, 4, a-4, 1-a, a +10.

Zahra's mistake was improperly evaluating higher powers of -1. Her evaluation should have been 1 -5 +a +3 +11 = a +10.

A(1, 5)

B(-2, 1)

C(-2, 4)

when

(x, y) = (-2x, -2y)

A'(-2, -10)

B'(4, -2)

C'(4, -8)

The negative scale factor increased the size of the triangle in the opposite side.

what is the reason why some digit from the account number have been left out

Answer:

\(4^2=5^2+7^2-2(5)(7) cos A\\\\\)

\(A=34.0^o\)

-----------------

\(\frac{4}{Sin34^o} =\frac{5}{SinB} \\\\\)

\(B=44.4^o\)

--------------

\(7^2=4^2+5^2-2(4)(5)CosC\)

\(C= 101.5^o\)

\(---------\)

hope it helps...

have a great day!!

All the missing elements of the triangle by the Cosine rule are A = 40°, B = 45°, and C = 102°.

Given that,

Three sides on a triangle are,

a = 4

b = 5

c = 7

Used the formula of the Cosine rule which states that,

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

Where, a, b, and c are three sides and A, B, and C are angles of a triangle.

Now, apply the Cosine rule to find the all angles of a given triangle,

a² = b² + c² - 2bc cos A

Substitute a = 4, b = 5 and c = 7,

4² = 5² + 7² - 2 × 5 × 7 cos A

16 = 25 + 49 - 70 cos A

70 cos A = 74 - 16

70 cos A = 58

Divide both sides by 58,

cos A = 58/70

cos A = 0.83

A = cos ⁻¹ (0.83)

A = 33.9°

Round to the whole number,

A = 40°

b² = a² + c² - 2ac cos B

Substitute a = 4, b = 5 and c = 7,

5² = 4² + 7² - 2 × 4 × 7 cos B

25 = 16 + 49 - 56 cos B

25 = 65 - 56 cos B

56 cos B = 65 - 25

56 cos B = 40

cos B = 40/56

cos B = 0.71

B = cos ⁻¹ (0.71)

B = 44.7°

Round to the whole number,

B = 45°

c² = a² + b² - 2ab cos C

Substitute a = 4, b = 5 and c = 7,

7² = 4² + 5² - 2 × 4 × 5 cos C

49 = 16 + 25 - 40 cos C

49 = 41 - 40 cos C

40 cos C = 41 - 49

40 cos C = - 8

cos C = - 8/40

cos C = - 1/5

cos C = - 0.2

C = cos ⁻¹ (0.2)

C = 101.5°

Round to the whole number,

C = 102°

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Answer: 987

Step-by-step explanation:

The correct response is: both the congruence of the triangles and the congruence of the rectangles.

Part A: the correct response is: both the congruence of the triangles and the congruence of the rectangles

Part B: the correct response is: both the congruence of the triangles and the congruence of the rectangles.

Part A: In order to exhibit congruence with a translation followed by another translation, both the congruence of the triangles and the congruence of the rectangles must hold. Therefore, the correct response is: both the congruence of the triangles and the congruence of the rectangles

Part B: Congruence can be exhibited with a reflection followed by another reflection for both the triangles and the rectangles. Therefore, the correct response is: both the congruence of the triangles and the congruence of the rectangles.

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Answer:

\(4.\ \sin E = \cos G\)

Step-by-step explanation:

Given

\(\triangle EFG\)

\(\angle F = 90^o\) --- right angle

Required

Which of the options is true

In a triangle, we have:

\(\angle E + \angle F + \angle G = 180^o\) --- angles in a triangle

Substitute \(\angle F = 90^o\)

\(\angle E + 90^o + \angle G = 180^o\)

Collect like terms

\(\angle E + \angle G = 180^o -90^o\)

\(\angle E + \angle G =90^o\)

This implies that E and G are complementary angles.

For complementary angles, E and G;

\(\sin E = \cos G\) and \(\sin G = \cos E\)

Hence, (4) is true

How would you describe the difference between the graphs of f(x) = 2x² and g(x) = -2x²: D. g(x) is a reflection of f(x) over the x-axis.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

In this context, we can reasonably infer and logically deduce that a graph of transformed function g(x) = -2x² would be created by applying a reflection over or across the x-axis to the graph of the parent function f(x) = 2x² as shown in the image attached below.

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Answer:

it would be 60

Step-by-step explanation

4*5= 20

8*5=40

12*5=  60

We multiply by 5 because if we divide 20/4=5, 40/8=5, 60/12=5.

60 is the the answer

Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

Answer:

1)1920 in2  (2)120 in3

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Represented in BCD as "0010 0101"

What is binary code decimal pattern?

A binary number is a number that has been stated using the base-2 or binary numeral system, which employs just two symbols, often "0" and "1."

Yes, that's correct! Binary coded decimal (BCD) is a way of representing decimal numbers in a binary format. In BCD, each digit of a decimal number is represented by a unique pattern of four ones and zeros. For example, the decimal number "25" can be represented in BCD as "0010 0101".

BCD is often used in digital systems to represent decimal numbers because it is easy to convert between BCD and decimal representations and because it can be easily manipulated using digital logic circuits. However, BCD has some limitations compared to other binary representations of decimal numbers, such as excess 3 code or binary-coded decimal interchange code (BCDIC).

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Answer:

40%

Step-by-step explanation:

Netflix:

22% - 10% = 12%

HBO:

38% - 10% = 28%

People who watch Netflix only: 12%

People who watch HBO only: 28%

People who watch both Netflix & HBO: 10%

People who watch HBO or Netflix: 12% + 28% + 10% = 40%

Answer:

-9

Step-by-step explanation:

8-17=-9

Answer: -9

Check: -9 + 17 = 8 (Check)

I hope this helps, and Happy Holidays! :)

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

Answer:

y = 8 and x = -6

Step-by-step explanation:

5x + 6y = 18 ------------ (1)

2x - 3y = 12 ------------- (2)

we have to cut out the x to find value of y

so, multiply equation (1) by 2 and equation (2) by 5

then we get,

10x + 12y = 36 ---------- (3)

10x - 15y = 60 ---------- (4)

substract equation (4) from (3)

we get,

-3y = -24

so,

= 3y = 24

= y = 24/3

y = 8

put value of y in equation (1)

5x × 6 (8) = 18

= 5x × 48 = 18

= 5x = 18 - 48

= 5x = -30

= x = -30/5

x = -6