A = 64 cm
ABC
A = 225 cm
In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
А
Find the area of the triangle then apply Pythagorean Theorem
B
Subtract the area of the squares and then apply Pythagorean Theorem
С
Add the areas of both squares together and then apply Pythagorean Theorem
D
Find the lenath of one side of each square and then apply the Pythagorean Theorem

Try this option:

1) the rule 1: if f(x)=u(x)*v(x), then f'(x)=u'(x)*v(x)+u(x)*v'(x), where u(x)=x³, v(x)=ln(cos²x);

2) the rule 2: if f(x)=u(v(x)), then f'(x)=u'(v(x))*v'(x), where u(v(x))=ln(cos²x), v(x)=cos²x;

3) according to the rules above:

f'(x)=(x³)'*ln(cos²x)+x³*(ln(cos²x))';

\(f`(x)=3x^2ln(cos^2x)+x^3*\frac{1}{cos^2x}*(-2sinxcosx)=3x^2ln(cos^2x)-2x^3tanx.\)

Answer: 3x²ln(cos²x)-2x³tanx.

The zoo received 1100 visitors that day

The length of the rectangular prism is 4/5x.

What is a rectangular prism?

Six faces make up the three-dimensional shape of a rectangular prism (two at the top and bottom and four are lateral faces). The prism has rectangular shapes on each of its faces. There are therefore three sets of identical faces in this picture. A cuboid is another name for a rectangular prism because of its shape.

We know that Volume of a rectangular prism is a product of length, height and width.

We are given volume as (7/x)-(3/5x).

The width(w) is 2/x and the height(h) is 4/x

Using the formula, we get

⇒ V = lwh

⇒ (7/x)-(3/5x) = l * (2/x) * (4/x)

⇒ l = [(7/x)-(3/5x)] / [(2/x) * (4/x)]

⇒ l = (32/5x) /(8/x^2)

⇒ l = 4/5x

Hence, the length of the rectangular prism is 4/5x.

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On solving the provided question we can say that  the equation of the line will be  y+11 = 0.

The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).

To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).

Here,

slope, m= 0 as these are parallel line.

so the equation of the line will be

y-y1 = m(x-x1)

y+11 = 0

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Answer:

Answer:

with what

Step-by-step explanation:

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Took the test

Answer:

12

Step-by-step explanation:

You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.

Answer:

Whether it is possible or likely that the mean time for all patients is 2 hours depends on the context of the situation and the characteristics of the data.

If the data on patient wait times is very tightly clustered around the 2-hour mark, such that there is very little variation or dispersion in the data, then it is possible that the mean time for all patients is 2 hours. However, in most real-world situations, it is unlikely that all patients would have exactly the same wait time, so it is unlikely that the mean time for all patients would be exactly 2 hours.

Furthermore, the statement that the mean time for all patients is 2 hours may be misleading or inaccurate if it does not take into account other factors that may affect wait times, such as the time of day, the day of the week, the severity of patients' conditions, and the efficiency of the hospital's operations. Therefore, it is important to consider not only the mean time but also other measures of central tendency and dispersion, as well as other factors that may impact patient wait times, in order to fully understand and interpret the data.

Answer:

x = 4

Step-by-step explanation:

I took the test and it was right :)

Answer:

1/8

Step-by-step explanation:

1/2*1/4=1/8

We just need to multiply 1/2 and 1/4 and that equals 1/8

Step-by-step explanation:

11 cm, 6 cm, 17 cm

Answer::

11cm, 6cm, 17cm

step by step explanation:

the correct answer is 11cm 6cm and 17cm

because in a right angled triangle, the square of the hypothenus is equal to the square of the sum of the other two sides

hypothenus= 17cm other two sides=11cm and 6cm

The line L in R³ is spanned by the vector (-4). To find a basis for the orthogonal complement L⊥ of L, we need to find vectors that are orthogonal (perpendicular) to the vector (-4).

To find the basis for the orthogonal complement L⊥, we look for vectors that satisfy the condition of being perpendicular to the vector (-4). In other words, we are looking for vectors that have a dot product of zero with (-4).

Let's denote the vectors in R³ as (x, y, z). To find the orthogonal complement, we can set up the equation:

(-4) ⋅ (x, y, z) = 0

Expanding the dot product, we have:

-4x + (-4y) + (-4z) = 0

Simplifying the equation, we get:

-4(x + y + z) = 0

This equation tells us that any vector (x, y, z) that satisfies x + y + z = 0 will be orthogonal to (-4).

Now, to find a basis for L⊥, we need to find three linearly independent vectors that satisfy the equation x + y + z = 0. One possible basis is:

{(1, -1, 0), (1, 0, -1), (0, 1, -1)}

These three vectors are linearly independent and satisfy the equation x + y + z = 0. Therefore, they form a basis for the orthogonal complement L⊥.

In summary, a basis for the orthogonal complement L⊥ of the line L spanned by (-4) in R³ is {(1, -1, 0), (1, 0, -1), (0, 1, -1)}.

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Answer:

a.) 4

b.) 6

c.) 25

d.) 21

e.) 14

f.) 30

g.) 15

h.) 30

i.) 16

Step-by-step explanation:

Basically just find what factor the numerator or denominator is changing by, and apply it to the rest of the fraction. For example,

Given: 2/? = 10/20

Find: ?

We see that the numerator is being multiplied by 5 to get 10, so we simply divide 20 by 5 to get our answer of 4.

? = 4

Answer:

a) 4

b) 6

c) 25

d) 21

e) 14

f) 30

g) 15

h) 30

i) 49

Step-by-step explanation:

The distance between two points a and b on the real line is given by the absolute difference between the two points, which is calculated as the positive difference between the values of a and b regardless of their order.

The distance function, denoted as d(a, b), is a metric that satisfies the properties of non-negativity, symmetry, and the triangle inequality. It is used to quantify the distance between two points in one-dimensional space, and is an important concept in geometry, analysis, and other fields of mathematics. The distance formula can be extended to higher dimensions and is used in various applications such as optimization, clustering, and machine learning.

The distance between two points a and b on the real line is given by the absolute difference between the two points: d(a, b) = |a - b|

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-3

6x - 5x = 1x

1x + 1 = -2

1x = -3

Alice traveled a total distance of 15 miles to get to her physics class.

The question requires you to find the total distance Alice traveled to get to her physics class, given that she walked 0.25 miles to the bus stop, took a bus 1.2 miles to the train station, took the train for 13 miles, and walked the remaining 0.17 miles. To find the total distance, you need to add all the distances together.

To determine the total distance Alice traveled, add all the distances she covered:

0.25 miles (walking) + 1.2 miles (bus) + 13 miles (train) + 0.17 miles (walking) = 14.62 miles

Since she had to walk the remaining 0.17 miles to get to her physics class, add that to the total distance:

14.62 miles + 0.17 miles = 14.79 miles

Rounding off the answer to the nearest whole number gives:

Total distance = 15 miles

Therefore, Alice traveled a total distance of 15 miles to get to her physics class.

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The correct statistical procedure to answer this research question is A one-sample t-test for means.(Option C)

To answer the research question of whether the average heart rate for Canadians who participate in the innovative fitness program is lower than the national average heart rate, the appropriate statistical procedure to use is a one-sample t-test for means.

The reason we use a t-test is that we are comparing the sample mean (68.5 bpm) to a known population mean (72 bpm) with known standard deviation (6 bpm). The t-test is commonly used when the population standard deviation is unknown or when the sample size is small (in this case, n = 26).

The t-test will help determine if the difference between the sample mean and the population mean is statistically significant. It will calculate a t-value by comparing the observed difference with the standard error of the mean, taking into account the sample size and sample standard deviation.

Therefore, the correct statistical procedure to answer this research question is C. A one-sample t-test for means.

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180 degree

Step-by-step explanation:

supplementary means anhke havinv sum of 180 degree

so sum to two supplemrntary angles is 180 drgree

Supplementary angles always add to 180.

One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".

In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.

The multiplication of the decimal numbers 1.697 × 4.1 is 6.9577

The correct answer option is option B

A decimal number is a number expressed in the decimal system (base 10).

A decimal place is the position of a digit to the right of the decimal point in a decimal number.

1.697 × 4.1

1.697

4.1

1.697 × 4.1

= 6.9577

6.9577

Consequently, the multiplication of 1.697 × 4.1 is 6.9577

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After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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The probability of Jeremy selecting a jelly bean that is not lemon or orange is: 26/48 = 0.54 or 54%.

To find the probability that Jeremy randomly selects a jelly bean that is not lemon or orange, we need to first find the total number of jelly beans that are not lemon or orange.

The number of grape jelly beans is 10, the number of cherry jelly beans is 16, so the total number of jelly beans that are not lemon or orange is:

10 + 16 = 26

The total number of jelly beans in the dish is:

10 + 8 + 14 + 16 = 48

Therefore, the probability of Jeremy selecting a jelly bean that is not lemon or orange is:

26/48 = 0.54 or 54%.

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Answer:

25 width and 125 length

Step-by-step explanation:

50+50+100+100 is equal to 25+25+125+125

but 50 x 100 is not equal to 25 x 125

there are many other ways you could have written it as well

Answer:

Length: 40 yd, Width: 130 yd

Dimension's of parking lot: 70 × 100

For this perimeter:   2(L + W) = 2(70 + 100) = 340 yd

For this area:             L × W = 70 × 100 = 7000 yd²

To find dimensions producing same perimeter but smaller area. One dimension has to be too small and one too big.

Possible lengths (all of them applicable):

(a) 40 wide and 130 long

(b) 20 wide and 150 long

(c) 45 wide and 125 long

The quadratic function f(x) = x² - 2x + 5 has no real roots and cannot be factored over the set of real numbers. However, it can be factored over the set of complex numbers.

a) Over R:

To find the zeros of a quadratic function, we set the function equal to zero and solve for x.

For the quadratic function f(x) = x² - 2x + 5, we set it equal to zero:

x² - 2x + 5 = 0

This quadratic equation does not have any real solutions. We can determine this by calculating the discriminant (b² - 4ac) and checking its value.

In this case, a = 1, b = -2, and c = 5. Calculating the discriminant:

Discriminant = (-2)² - 4(1)(5) = 4 - 20 = -16

Since the discriminant is negative (-16 < 0), the quadratic equation does not have any real solutions over R (the set of real numbers).

b) Over ↓:

I assume you meant to write "over ℝ" (R with a double vertical line), which represents the set of real numbers. I have already answered this in part a) above, and the conclusion is that the quadratic function does not have any real solutions.

c) Zero:

To find the zeros of the function, we again set f(x) equal to zero and solve for x:

x² - 2x + 5 = 0

Since the quadratic equation does not have any real solutions, there are no zeros for the function f(x) = x² - 2x + 5.

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The percentage rate of increase in Joshua wages is 17%

Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.

To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.

This means percentage rate in increase = (new wage - original wage )/original wage × 100

= (14-12)/12 ×100

= 2/12 ×100

= 100/6 = 17% ( nearest percent)

Therefore the percentage increase in Joshua wage is 17%

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Total amount of ground beef is 7.5 lbs

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.

Total people = 40

Number of each ingredient

= 40 / 8

= 5

b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,

So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

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Your question is incomplete, probably the complete question/missing part is:

Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:

• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5

• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?

Answer: 0.56

Step-by-step explanation:

If 33 of the married people do not have a child, then 75 - 33 of the married people do have a child. 75 - 33 = 42.

* n = intersection (both events occur)

P At least 1 child 'given' that they are married)

= p (at least 1 child  n  married) / p (married)

= (42/100) / (75/100)

= 42/75

= 0.56