How do you find the height of an isosceles triangle without the base?

Answer:

(x + 1)(3x - 10)

Step-by-step explanation:

Given

3x² - 7x - 10

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = - 7

The factors are + 3 and - 10

Use these factors to split the x- term

3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )

3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term

(x + 1)(3x - 10), thus

y = (x + 1)(3x - 10) ← in factored form

Answer:

The distance between the two cities is 360 miles.

Step-by-step explanation:

Let value "a" equal the airspeed of the plane in still air, and let value "d" be the distance between the two cities. Then:

d/a+30=1.5

d=1.5a+45

and

d/a-30=2

d=2a-60

So

2a-60=1.5a+45

.5a=105

a=210

d/210-30=2

d=360

The distance between the two cities is 360 miles.

If jack has three packs of gum and sam has 4 packs of gum, then the total amount of gum they have together is 7 packs.

What is the addition?

The addition is putting numbers together to make a sum or total. The plus sign + tells you to add two numbers. = is an equals sign. It shows that things on either side of it are equal.

We have given,

Jack has 3 packs of gum and Sam has 4 packs of gum.

To find the total number of packs of gum they have together, we simply add their individual amounts:

3 packs (Jack) + 4 packs (Sam) = 7 packs

Therefore, the total amount of gum they have together is 7 packs.

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Answer:

y = 3 + 1/2 * x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Square A:

Area = 225 square feet

side *side = 225

        Side =√225

                 \(=\sqrt{15*15}\)

   Side of square A = 15 ft

Square B:

Area = 400 square feet

Side =√400

       = \(\sqrt{20*20}\)

Side of square B = 20 ft

Use Pythagorean theorem for finding the side of Square C.

Side of square A is the altitude ;  side of square B is the base and side of square C will be the hypotenuse

hypotenuse² = base² + altitude²

                      = 15² + 20²

                       = 225 + 400

                       = 625

hypotenuse = \(\sqrt{625} =\sqrt{25*25}\) = 25 ft

Area of square C = 625 square ft

In short,

Area of square C = area of square B + area of square A

                             = 400 + 225

                             = 625 square ft

There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.

Given that an elevator starts with five passengers and stops at the seven floors of a building.

From the given information, the total number of floors n=7.

The number of passengers r = 5.

(a) Compute the number of ways that 5 passengers can be assigned to seven floors.

Here, repetition is allowed.

From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is \(n^r\).

If 5 passengers can be assigned to seven floors is 7⁵ = 16807.

(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.

Here, repetition is not allowed.

If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.

Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.

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Answer:

The answer is -8

Step-by-step explanation:

Subtracting 8x from both sides to get Y by itself, you would get

Y= -8X + 10, and we know that y=mx+b, where M is the slope, therefore -8 is M and the slope is -8.

Answer:

y = -8x + 10

Step-by-step explanation:

Just move the 8x to the other side of the equation. hope you finish

50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.

The ratio of sparkling water to grape juice is,

1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) =  2 : 1

The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is

2/3 · 75quarts = 50 quarts

Then the grape juice content is,

1/3 · 75 quarts = 25 quarts

Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.

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The test value of z is 2.86, and the critical value of z is 2.17. Therefore, the correct answer is (a)To test the claim that the mean price of houses in an area is greater than $145,000, the researcher uses a hypothesis test with a significance level of 2%.

The null hypothesis (H₀) assumes that the mean price is not greater than $145,000, while the alternative hypothesis (H₁) assumes that the mean price is greater than $145,000.The test statistic used in this case is the z-score. In this case, the sample mean price is $149,759, and the alternative hypothesis assumes that the population mean is greater than $145,000. The formula for the z-score becomes (149,759 - 145,000) / (24,600 / √36). Simplifying this equation gives a z-score of 2.86. The critical value of z is determined based on the significance level and the type of test (one-tailed or two-tailed). Since the alternative hypothesis assumes the mean is greater, it is a one-tailed test. At a significance level of 2%, the critical value of z is 2.17. Comparing the test value of z (2.86) to the critical value of z (2.17), we find that the test value exceeds the critical value. This means that we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean price of houses in the area is greater than $145,000. Therefore, the correct answer is (a), with a test value of z equal to 2.86 and a critical value of z equal to 2.17.

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Given the quadratic equation the condition that must apply to the constants a and c is c < 9a.

A quadratic equation is a second-degree polynomial equation in one variable, where the highest power of the variable is two.

1) Remember, a quadratic function can have either a maximum or minimum value and that the value of the function at the vertex (i.e., the maximum or minimum point) is given by \(-b/2a\).

In this case, the coefficient of x is 6, so the x-coordinate of the vertex is \(-6/2a = -3/a\).

Since the function is always negative, the vertex must be a maximum, and the value of the function at the vertex must be negative.

Therefore, this gives us:

\(ax^2 + 6x + c < 0\) for all x

The x-coordinate of the vertex is\(-3/a\), so the value of the function at the vertex is:

\(a(-3/a)^2 + 6(-3/a) + c = 9a/a - 18/a + c = c - 9a/a\)

Since the value of the function at the vertex must be negative, we thus have:

\(c - 9a/a < 0\)

Simplifying further, we get:

\(c < 9a\)

Therefore, we can conclude that the condition for the constants a and c to satisfy the given inequality is \(c < 9a.\)

ii) We can choose \(a = 1\) and \(c = -8\).

Then, the function \(ax^2 + 6x + c = x^2 + 6x - 8\) has a maximum value at \(x = -3\),

Therefore, this example shows that \(a = 1\) and \(c = -8\)  satisfies the conditions found in part (i).

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Answer:

D. (-1,-2)

Step-by-step explanation:

Every number in the third quadrant of the coordinate plane has negative x and y-coordinates.

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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1,024 GB un TB es 1024 GB espero que te ayude esto

Answer:

Step-by-step explanation:

13 , 52

Here 13 is a prime number. So, check if 52 is  a multiple of 13.

Yes, 13*4 = 52

LCM = 52

Answer:

52

Step-by-step explanation:

L.C.M of 13 and 52 is,

13  | 13 , 52

4  |  1 , 4

     | 1 ,  1

L.C.M = 13 x 4 = 52

Answer:

30=x

Step-by-step explanation:

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer: 1/59049

Step-by-step explanation:

Since the terms are being divided, subtract the exponents --> 2-7 = -5

9^2/9^7

= 1/9^5 or

= 1/59049

Answer:

(- 2, - 9 )

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x) - 1 is f(x) shifted down 1 unit

Then

(- 2, - 8 ) → (- 2, - 8 - 1 ) → (- 2, - 9 ) ← corresponding point

The program segment is not correct with respect to the given initial and final assertions.

To verify that the program segment x := 2; z := x * y; if y > 0 then z := z + 1 else z := 0 is correct with respect to the initial assertion y = 3 and the final assertion z = 6, we need to check that the program produces the expected values of x, y, and z at every step.

1. Initial assertion: y = 3

This is given in the problem statement.

2. x := 2

After executing this statement, we have x = 2.

3. z := x * y

After executing this statement, we have z = x * y = 2 * 3 = 6.

4. if y > 0 then z := z + 1 else z := 0

Since y = 3 > 0, this condition is true and we execute the first branch of the if statement. Therefore, we have z := z + 1, which gives z = 6 + 1 = 7.

5. Final assertion: z = 6

This assertion is not satisfied, since we have z = 7 instead of z = 6.

Therefore, the program segment is not correct with respect to the given initial and final assertions.

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12. The function represents exponential growth with a growth rate of 65%.

13. The function represents exponential growth with a growth rate of 20%.

14. The function represents exponential decay with a decay rate of 60%.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

An exponential function will represent growth or decay as follows:

Hence we just look at the b values for each function to verify if they represent growth or decay.

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On a surface analysis chart, the solid lines that depict sea level pressure patterns are called isobars.

Isobars are lines connecting points of equal atmospheric pressure at sea level. They provide a visual representation of pressure variations across a geographical area.

Isobars are typically displayed on weather maps to illustrate high and low pressure systems, as well as the strength and location of pressure gradients. High-pressure systems are indicated by circular isobars, while low-pressure systems are depicted by oval or elongated isobars.

By examining the spacing and configuration of isobars, meteorologists can interpret weather patterns and make predictions.

Areas with tightly packed isobars indicate strong pressure gradients, which signify strong winds and potentially severe weather conditions. On the other hand, widely spaced isobars suggest weaker pressure gradients and calmer weather.

Overall, isobars on a surface analysis chart are crucial in understanding and analyzing atmospheric pressure patterns and their implications on weather conditions.

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,

The correct answer is b. A normal probability distribution is a continuous probability distribution, which means that it can take on any value within a given range.

This type of distribution is often used to model real-world phenomena that are measured on a continuous scale, such as height or weight. Unlike discrete probability distributions, which have a finite number of possible outcomes, a continuous distribution has an infinite number of possible outcomes. It's important to note that while a normal distribution is continuous, not all continuous distributions are normal. A normal distribution has a specific bell-shaped curve that is defined by its mean and standard deviation, and it is often used in statistical analysis to make predictions about the likelihood of certain events occurring within a given population. In summary, a normal probability distribution is a type of continuous probability distribution that is often used to model real-world phenomena. While it has a specific shape and can be described by its mean and standard deviation, it is not always the best model for every situation.

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Answer:

-24

Hope that this helps!

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

The slope of the line is represented by the coefficient b, while the y-intercept is represented by the coefficient a.

Actually, none of the given options are correct. In the equation ŷ = a b(x), ŷ represents the predicted value of the dependent variable (usually denoted as y) based on the independent variable (usually denoted as x), with the content loaded in the equation (the coefficients a and b) determining the relationship between the two variables.

The slope of the line is represented by the coefficient b, while the y-intercept is represented by the coefficient a.

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