In isosceles ABC, AB=AC. if B=55,calculate A​

Answer:

6.  Slope = 2

7.  y-intercept = 5

8.  Equation:  y = 2x + 5

Step-by-step explanation:

To find the slope of a line, define two points on the line:

Substitute these values into the slope formula and solve for m:

\(\implies \textsf{slope}\:(m)=\dfrac{7-5}{1-0}= \dfrac{2}{1}=2\)

Therefore, the slope of the graph is \(\boxed{2}\).

The y-intercept is the y-value of the point at which the line crosses the y-axis.

From inspection of the given graph, the y-intercept is \(\boxed{5}\).

Slope-intercept form of a linear equation:

\(y=mx+b\)

Where:

Substitute the found slope and found y-intercept into the formula to create an equation for the line:

\(\boxed{y=2x+5}\)

Answer:

3/5

Step-by-step explanation:

0.6= 6/10

6/10 simplified is 3/5

Answer:

The answer is 6/10

Step-by-step explanation:

To convert a decimal to a fraction, place the decimal number over its place value. 0.6 in its simplest form would be 6/10.

Your welcome <3

The test statistic is z = -1.60

To test the claim that the percentage of readers who own a personal computer is different from the reported percentage, we can use a hypothesis test. Let's define our null hypothesis (H0) and alternative hypothesis (H1) as follows:

H0: The percentage of readers who own a personal computer is equal to 34%.

H1: The percentage of readers who own a personal computer is different from 34%.

We can use the z-test statistic to evaluate this hypothesis. The formula for the z-test statistic is:

\(z = (p - P) / \sqrt_((P * (1 - P)) / n)_\)

Where:

p is the sample proportion (30% or 0.30)

P is the hypothesized population proportion (34% or 0.34)

n is the sample size (360)

Let's plug in the values and calculate the test statistic:

\(z = (0.30 - 0.34) / \sqrt_((0.34 * (1 - 0.34)) / 360)_\\\)

\(z = (-0.04) / \sqrt_((0.34 * 0.66) / 360)_\\\)

\(z = -0.04 / \sqrt_(0.2244 / 360)_\\\)

\(z= -0.04 / \sqrt_(0.0006233)_\)

\(z = -0.04 / 0.02497\\z = -1.60\)

Rounding the test statistic to two decimal places, the value is approximately -1.60.

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Stronger evidence against the null hypothesis is indicated by: smaller p-values.

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

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Answer:

A. {y | -∞ < y < 4}

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we can see that we have a horizontal asymptote at y = 4. Our y-values stretch from negative infinity to the horizontal asymptote.

∴ our answer would be A.

In the balance sheet, mortgage notes payable are reported as a long-term liability only.

Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.

Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.

By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.

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The similarity lies in the fact that both lists contain the same set of numbers, but their order is determined by different criteria - one based on magnitude and the other based on distance from zero.

Let's order the numbers -3, 5, -10, and 16 as requested.

From least to greatest:

-10, -3, 5, 16

The ordered list from least to greatest is: -10, -3, 5, 16.

Now let's order the same numbers from closest to zero to farthest from zero:

-3, 5, -10, 16

The ordered list from closest to zero to farthest from zero is: -3, 5, -10, 16.

Regarding the similarity between the two lists, both lists contain the same set of numbers: -3, 5, -10, and 16. However, the ordering criteria are different in each case. In the first list, we order the numbers based on their magnitudes, whereas in the second list, we order them based on their distances from zero.

By comparing the two lists, we can observe that the ordering changes since the criteria differ. In the first list, the number -10 appears first because it has the smallest magnitude, while in the second list, -3 appears first because it is closest to zero.

Overall, the similarity lies in the fact that both lists contain the same set of numbers, but their order is determined by different criteria - one based on magnitude and the other based on distance from zero.

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To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).

Where:

X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.

Plugging in the values, we get:

CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)

Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.


1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg

2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.

3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg

4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg

Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.

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a.)  Based on the scatter plot, the estimated average daily maximum temperature in Fort Frances in July is  around 25°C.

b) There are four communities with average daily maximum temperatures greater than 22°C. Their latitudes are approximately:

Toronto: 44°N

Windsor: 42°N

London: 43°N

Ottawa: 45°N

c.)

. Based on the scatter plot, there seems to be a relationship between  latitude and temperature .

As latitude increases, temperature generally decreases  because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler.

Latitude is described as a coordinate that specifies the north–south position of a point on the surface of the Earth or another celestial body.

there are some exceptions to this general trend that states that as latitude increases, temperature  decreases  because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler. which could be due to other factors such as elevation, proximity to water, or local weather patterns.

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Answer:

your mom + your mom = big mama there you go your welcome

Step-by-step explanation:

your mom + your mom = big  mama there you go your welcome

Answer:

Final answer -

\(Area \: of \: figure = 60 \: m {}^{2} \)

hope helpful :D

The height of the rectangular pyramid is 10.5 m.

Given that;

A rectangular pyramid has the following parameters;

The volume of the rectangular pyramid ( v ) = 560 m³

The base length of the rectangular pyramid ( l ) = 16 m

The width of the same rectangular pyramid ( w ) = 10 m

We were asked to find out the height ( h ) of the rectangular pyramid, to get it we need to use the given formula;

v = l * w * h / 3

From the above equation;

h = 3 * v / l * w

h = 3 * 560 / 16 * 10

h = 10.5 m

Therefore, the height of the rectangular pyramid is 10.5 m

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Answer:

1/2

Step-by-step explanation:

Step one:

given data

sample space

1 blue slice,

2 red slices, and

3 yellow slices

sample size= 1+2+3= 6

Required:

The probability that the dial stops on a blue or red slice

1. The probability that the dial stops on a blue = 1/6

2. The probability that the dial stops on a red= 2/6= 1/3

Hence The probability that the dial stops on a blue or red= 1/6+1/3

= 1+2/6

=3/6

=1/2

The slope of the least squares regression line answer is (b) approx -140.00.

The slope of the least squares regression line can be calculated using the formula:

slope = (nΣ(xy) - ΣxΣy) / (nΣ(x^2) - (Σx)^2)

Where n is the number of data points (in this case, n = 9), Σ means "sum of", x and y represent the square footage and price data, respectively, and x^2 represents the square of the square footage.

Using the provided data, we can calculate:

Σx = 229
Σy = 2388
Σxy = 72192
Σ(x^2) = 72766

Substituting these values into the formula, we get:

slope = (9(72192) - (229)(2388)) / (9(72766) - (229)^2)
slope = -140.00 (rounded to two decimal places)

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The number of ways to select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and four distinct Independents is: 277,200.

This can be calculated using the formula for combinations, which states that the number of ways to choose k objects from a set of n distinct objects is given by

nCk = n! / (k! * (n-k)!),

where ! denotes the factorial function.

In this case, we use this formula to calculate the number of ways to choose four Republicans from a group of 10, three Democrats from a group of 12, and two Independents from a group of 4.

We then multiply these values together to get the total number of possible committees:

(10C4) x (12C3) x (4C2) = 210 x 220 x 6 = 277,200

The final answer is 277,200.

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The first fraction Levans wrote is $\frac{a}{b} = \frac{a}{1} = \boxed{a}$.

Let's start by examining the pattern of the fractions Levans writes. Each new fraction has a numerator and denominator that are both one greater than the previous fraction.

We can represent the first fraction as $\frac{a}{b}$, where $a$ is the numerator and $b$ is the denominator. According to the given information, $a$ is $1$ greater than $b$.

The second fraction would then be $\frac{a+1}{b+1}$, the third fraction would be $\frac{a+2}{b+2}$, and so on.

Since we have a total of $20$ fractions, the product of all the fractions is:

$\left(\frac{a}{b}\right) \left(\frac{a+1}{b+1}\right) \left(\frac{a+2}{b+2}\right) \dots \left(\frac{a+19}{b+19}\right)$

We are given that this product equals $3$, so we can set up the equation:

$\frac{a(a+1)(a+2)\dots(a+19)}{b(b+1)(b+2)\dots(b+19)} = 3$

Since we are looking for the value of the first fraction, we need to find the specific values of $a$ and $b$. However, solving this equation directly for $a$ and $b$ is challenging due to the large product.

Therefore, we can observe that the product $3$ is a prime number, which means it must be the result of the cancellation of some factors in the fraction product. This cancellation occurs between the numerators and denominators when we simplify the fraction product.

Since the product is equal to $3$, it suggests that the numerators and denominators contain common factors that cancel out, leaving only $3$ in the product.

Considering this, we can guess that the common factors in the numerator and denominator are $2$ and $3$, which cancel each other out, resulting in $3$ as the final product. This implies that the fraction product simplifies to:

$\frac{(a+4)(a+5)\dots(a+19)}{(b+4)(b+5)\dots(b+19)} = 1$

Now, since we are only interested in the first fraction, we want to find the value of $a$ and $b$ that satisfy this equation. Looking at the numerator and denominator, we see that they have the same factors from $a+4$ to $a+19$ and $b+4$ to $b+19$, respectively. This means that all the terms after $a+3$ and $b+3$ will cancel out, resulting in a simplified equation:

$\frac{(a+4)(a+5)\dots(a+19)}{(b+4)(b+5)\dots(b+19)} = 1$

This implies that:

$(a+4)(a+5)\dots(a+19) = (b+4)(b+5)\dots(b+19)$

Since the left side of the equation consists of consecutive terms starting from $a+4$, and the right side consists of consecutive terms starting from $b+4$, this equation can only hold true if $a+4 = b+4$.

Simplifying this, we find $a = b$.

Since $a$ is $1$ greater than $b$, this means $b = 1$.

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First you do 200/1.8 because you have to find how fast the swimmer swam.

200/1.8 = 111.1

Then you do 200/21.3 to find how many meters the runner ran per second.

200/21.3 = 9.4

The swimmer swam 1.8 meters per second and the runner ran 9.4 meters per second.

It took the swimmer 111.1 seconds to swim 200 meters, and it took the runner 21.3 seconds.

Hope this helps!

Answer:

b

Step-by-step explanation:

7 inches

Answer:

B. 7in

Step-by-step explanation:

1in=7ft also means every 7 feet is equal to one inch. So, how many times do 7 feet go into 49 feet? (divide 49 by 7) 7 feet go into 49 feet 7 times. If there are 7 groups of 7 feet, and every 7 feet is one inch, then 7 inches is the width of the drawing.

1.129 + 8 = 9.129

1.129*8 = 9.032

The number of full revolutions that Liz's front wheel completed is  16,037 full revolutions.

First, we need to find the circumference of the wheel. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius of the wheel is 54 cm, so we can plug that into the formula:

C = 2π(54 cm) = 108π cm

Next, we need to convert the total distance traveled from kilometers to centimeters, so that we can divide by the circumference of the wheel in centimeters.

There are 100,000 centimeters in a kilometer, so we can multiply the distance traveled in kilometers by 100,000 to get the distance in centimeters:

54.82 km * 100,000 cm/km = 5,482,000 cm

Now we can divide the total distance traveled by the circumference of the wheel to find the number of full revolutions:

5,482,000c m / 108π cm = 16,037.35

So, Liz's front wheel completed approximately 16,037 full revolutions.

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Answer:

Step-by-step explanation:

The answer is 5blocks to the right and 3 blocks up thank me LATER

The number 713.49 is already written in standard form.

Standard form, also known as standard notation or scientific notation, is a way of writing numbers using digits and decimal places. In standard form, a number is written with one digit to the left of the decimal point and the remaining digits to the right of the decimal point.

For example, the number 7,134.9 would be written in standard form as 7,134.9. The number 713.49 is already written in this format, so there is no need to convert it to standard form.

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Se ha demostrado mediante la aplicación de definiciones y teoremas algebraicos que la expresión algebraica (a + b)³ es igual a a³ + 3 · a² · b + 3 · a · b² + b³.

En esta pregunta debemos demostrar mediante definiciones y teoremas algebraicos la igualdad expresada en el enunciado puesto que los polinomios pueden ser analizadas por medios exclusivamente algebraicos:

En consecuencia, se ha demostrado mediante definiciones y teoremas algebraicos que la expresión algebraica (a + b)³ es igual a a³ + 3 · a² · b + 3 · a · b² + b³.

El enunciado está incompleto y muestra severas deficiencias en la explicación del punto. Una forma correcta y completa sería la siguiente:

Demuestre que (a + b)³ = a³ + 3 · a² · b + 3 · a · b² + b³.

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To find the third side of an acute triangle, use the Pythagorean Theorem to calculate the length of the missing side.

To find the third side of an acute triangle, use the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse (longest side). Therefore, if you know the length of two of the sides of the triangle, you can use the Pythagorean Theorem to calculate the length of the third side. To calculate the length of the third side, you need to square the two known sides and add them together. Then, take the square root of the sum to find the length of the missing side. For example, if the two known sides of the triangle are 5 and 12, you would square 5 and 12 and then add them together (25 + 144 = 169). Then, take the square root of 169 (13). In this example, the missing side is 13.

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We have proved the given argument using the method of Conditional Proof (CP) as part of the whole process.

In the given proof, we have to show that ~P -> ~R is true. We can prove it by using the method of Conditional Proof (CP) as a part of the whole process. Let us begin with the first proof.
Do the 1st proof by using CP with ~P as AP
Assumption: ~P
C: ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  Assumption
4: ~(L V M)            From 3 and 2 by Modus Tollens
5: ~L & ~M             From 4 by De Morgan's Law
6: ~L                  From 5 by Simplification
7: ~S                  From 1 and 6 by Modus Ponens
8: ~(L & S)            From 6 and 7 by Conjunction
9: ~R                  From 1 and 7 by Modus Ponens
10: ~P -> ~R           From 3 to 9 by CP
[44-2.2] Do the 2nd proof by using CP with R as AP
Assumption: R
C: ~P -> ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  To be proved
4: L V M               To be proved
5: L                   Assumption
6: L V M               From 5 by Addition
7: P                   From 6 and 2 by Modus Ponens
8: ~S                  From 1 and 5 by Modus Ponens
9: ~(L & S)            From 8 by De Morgan's Law
10: ~L V ~S            From 9 by De Morgan's Law
11: ~L                 Assumption
12: ~(L & S)           From 11 and 8 by Conjunction
13: ~L V ~S            From 12 by De Morgan's Law
14: ~S                 From 10 and 13 by Disjunctive Syllogism
15: (L & S) & P        From 7 and 5 by Conjunction
16: (L & S)            From 15 by Simplification
17: Contradiction      From 16 and 9
18: ~R                  From 17 by Negation Introduction
19: ~P -> ~R           From 3 to 18 by CP

The given argument needs to be proved using CP, where we have to show that ~P -> ~R is true. The first proof is done with ~P as an assumption, while the second proof is done with R as an assumption. The method of Conditional Proof is a method of proving a statement where we assume the negation of the consequent. The negation of the consequent is added as an assumption, and the premises are used to derive the negation of the antecedent. Once the negation of the antecedent is derived, we can discharge the assumption of the negation of the consequent, thereby proving the statement. In the given argument, we have used the method of CP to prove that ~P -> ~R. In both the proofs, we have used the premises and the assumptions to derive the conclusion. In the first proof, we assumed ~P and used the premises to derive ~R. In the second proof, we assumed R and used the premises to derive ~P -> ~R. Hence, we have proved the given argument using the method of CP.

Therefore, we have proved the given argument using the method of Conditional Proof (CP) as part of the whole process. We used two proofs in the argument, one with ~P as an assumption and the other with R as an assumption. We have shown that ~P -> ~R is true using the given premises and the method of CP.

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Answer:

-7(9) < -56

Step-by-step explanation:

-7(9) is -63 which is less than -56 so anything above that is less than 56-

Answer:

x=8

Step-by-step explanation:

Hope,it helps it wasn’t that easy (:

Answer: 2/10 is larger

Step-by-step explanation:

Transitional forms in the fossil record, including Archaeopteryx, provide evidence for the pattern of evolution known as "gradualism."

This pattern suggests that species change over time through a slow and continuous process of accumulation of small, incremental changes. Transitional fossils like Archaeopteryx exhibit characteristics that are intermediate between two different groups of organisms, indicating a gradual transition from one form to another.

The presence of transitional fossils supports the idea that species do not undergo abrupt transformations but instead evolve gradually over long periods of time.

These fossils provide a tangible link between different groups of organisms, such as dinosaurs and birds in the case of Archaeopteryx, and offer evidence for the gradual transformation of one group into another. This supports the broader concept of evolution as a slow and continuous process of change in populations over generations.

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Answer:

Step-by-step explanation:

for 7:

7 ÷ 7 = 1                              

14 ÷ 7 = 2

21 ÷ 7 = 3

28 ÷ 7 = 4

35 ÷ 7 = 5

42 ÷ 7 = 6

49 ÷ 7 = 7

56 ÷ 7 = 8

63 ÷ 7 = 9

70 ÷ 7 = 10

77 ÷ 7 = 11

84 ÷ 7 = 12