hey i need help with how to multiply 8/9 and 1/4. HELP ME OOOUUUUTTTT!!!!!!!!!!!!!!

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

It's name is “isosceles triangle”

Given,

Total number of assemblers = 20

They work a job in 6 hours.

To find,

Time to complete the work if the number of assemblers is cut back to 12​.

Solution,

Initially,

20 assemblers = 6 hours

1 hour = \(\dfrac{20}{6}\) assemblers

If assemblers are 12 then,

\(t=\dfrac{20}{6}\times 12\\\\=40\)

Hence, 40 hours will be required if the number of assemblers is cut back to 12​.

Answer:

plug in -6

-(-6) - 3

the 6 turns into a positive

subtract 3 from 6

= 3

At x = -6, f(x) = 3.

We have -

f(x) = - x - 3

We have to determine f(-6).

We have -

f(x) = \(\pi log(x)\)

f(2) = \(\pi log(2)\)

f(2) = 0.301\(\pi\)

f(2) = 0.95

According to the question, we have -

f(x) = - x - 3

Now -

At f(-6) →

f(-6) = - (-6) - 3

f(-6) = 6 - 3 = 3

Hence, at x = -6, f(x) = 3

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The length of the rectangle given the area as 12 is 6

Area of a rectangle = Length × width

Area of a rectangle = Length × width

12 = (w + 4) × w

12 = w² + 4w

w² + 4w - 12 = 0

Solve the quadratic equation using factorization

w² + 6w - 2w - 12 = 0

w(w + 6) - 2(w + 6) = 0

(w + 6) (w - 2) = 0

w + 6 = 0 or w - 2 = 0

w = -6 or w = 2

Hence,

width of the rectangle can not be negative.

Length of the rectangle = w + 4

= 2 + 4

= 6

Therefore, 2 is the length of the rectangle.

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The required, when the tank is 3/8 full, it will contain 120 liters of water.

Let's assume that the tank can hold "x" liters of water when completely full.

We know that when the tank is 1/4 full, it contains 80 liters of water. So we can set up the equation:

1/4 * x = 80

To solve for "x", we can multiply both sides by 4:

x = 80 * 4

x = 320

Therefore, the tank can hold 320 liters of water when completely full.

Now, if the tank is 3/8 full, it contains:

3/8 * 320 = 120 liters

So when the tank is 3/8 full, it will contain 120 liters of water.

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

If there is an image I cannot see it, so I solved it two different ways:

If 24 is the hypotenuse and 6 is one of the other sides:

6^2+x^2=24^2

36+x^2=576

x^2=540

x~23

If 24 is not the hypotenuse and is a side along with 6:

24^2+6^2=x^2

576+36=x^2

sqrt(612)=x

x~25

Answer:

√540 ≈ 23.2 or 23

Step-by-step explanation:

You only gave two numbers 24 and 6 and you asked for the missing side length using the Pythagorean Theorem. So because you have the number 24 which is the biggest number compared to 6 so we know that the equation for (PT) is a^2 + b^2 = c^2 so set it up like this a^2 + 6^2 = 24^2. You subtract do to wanting a side length and not the hypotenuse. When you get a number you are not finished you have to find the square root which is that number squared and you can use a number line or a calculator to help you figure out what it is equal to approximately.

a^2 + 6^2 = 24^2

a^2 - 36 = 576

       -36    -36

              =  540

a^2 = 540

a = √540

√540 ≈ 23.2 or 23  

Answer:

38

Step-by-step explanation:

perimeter = 2(l+b)

Where l is the length of the rectangle

b is the breadth of the rectangle

P = 2(15+4)

P = 2 × 19

P = 38

Answer:

geometry

Step-by-step explanation:

left side of paper

262.50%

Given the mixed fraction 2 5/8, we are to convert the fraction to a percentage.

Convert the mixed fraction to improper fraction

Convert the improper fraction to percentage:

Hence the fraction 2 5/8 expressed as a percentage is 262.50% to 2 decimal points.

The experiment is binomial , probability that 3 out of 14 customers buy a magazine is 0.06 and the expected value is 1.036.

The experiment described is binomial because it satisfies the following conditions:

The probability that exactly 3 out of the first 14 customers buy a magazine. Using the binomial probability formula:

\(P(X = k) = (nCk) \times (p^k) \times {q}^{n - k} \)

Where:

n = number of trials (14 in this case)

k = number of successful trials (3 in this case)

p = probability of success (7.4% or 0.074)

q = 1-p

Plugging in the values:

P(X = 3) = (14C3) × (0.074³) × 0.926¹¹

P(X= 3) = 0.0633

The expected number of customers from this sample that will buy a magazine can be calculated using the formula:

E(X) = n × p

Where:

- n is the number of trials

- p is the probability of success

Plugging in the values:

E(X) = 14 × 0.074 = 1.036

Therefore, the experiment is binomial and the expected value is 1.036.

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Answer:

2,748.5

Step-by-step explanation:

Answer:

thank uuu

Step-by-step explanation:

Answer:

Dialation

Step-by-step explanation:

A dilation is a transformation that makes an image smaller or bigger. the preimage is dialated by one half of the first image.

Answer:

Dilation

Step-by-step explanation:

It is dilation because the figure is getting smaller and is now not the same size

3.133333333333

hope this helps :)

Answer:

192

Step-by-step explanation:

The formula for the volume of a cone is given in the problem as:

\(V=\dfrac{\pi r^2h}{3}\)

The problem instructs us to use "3" as the value for π.  (In this case, it might be helpful to think of π as a letter like "y", and we're just substituting in the value that they give us... π=3).

At the bottom of the cone, the full diameter of the circular base is given as 8 cm.  The radius (the "r" in the formula) of a circle, is half of the diameter:

r = 1/2 * d

r = 1/2 * (8cm)

r = 4cm

We're also given the height ("h" in the formula) in the diagram as 12 cm.  It is the height because it is the measurement of the distance from the vertex (top) to the base where the line segment measured forms a right angle (as indicated by the "square" where that line segment meets the base).

Substituting the known values into the formula, we get...

\(V=\dfrac{(3) (4cm)^2 (12cm)}{3}\)

Simplifying/evaluating the expression, we follow order of operations (exponents, then multiplication/division)...

\(V=\dfrac{(3) (16cm^2) (12cm)}{3}\)

\(V=\dfrac{576cm^3}{3}\)

\(V=192cm^3\)

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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A man who weighs 150 pounds is one standard deviation below the mean weight for men aged 18 to 24.

In your case, you have been given the mean weight and standard deviation of men aged 18 to 24, which is a normal distribution. Now, if you want to find the standardized score or z-score for a particular weight, you can use the following formula:

z = (x - μ) / σ

where z is the standardized score, x is the weight you want to find the z-score for, μ is the mean weight, and σ is the standard deviation.

Let's say you want to find the z-score for a man who weighs 190 pounds. Using the formula above, we get:

z = (190 - 170) / 20

z = 1

This means that a man who weighs 190 pounds is one standard deviation above the mean weight for men aged 18 to 24.

Similarly, if you want to find the z-score for a man who weighs 150 pounds, we get:

z = (150 - 170) / 20

z = -1

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If the value of a certain collectible card in dollars from January 2020 to May 2021 can be modeled by the function V(m)=250m² – 3,500m + 18,000, the value of the card was declining over the period 0 < m < 7.

To determine when the value of the collectible card was declining, we need to look for when the first derivative of the function is negative. If the first derivative of the function is negative over a certain period, then the function is decreasing over that period. The first derivative of the function V(m) is:

V'(m) = 500m - 3,500

To find when the value of the card was declining, we need to solve the inequality V'(m) < 0. Solving for m, we get:

500m - 3,500 < 0

500m < 3,500

m < 7

Therefore, the value of the card was declining over the period 0 < m < 7. This corresponds to the months from January 2020 to July 2020. During this period, the first derivative of the function V(m) is negative, which means the value of the card was decreasing.

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Answer:

6x-

7y

=

-11

6x-7y=-11

The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

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The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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9514 1404 393

Answer:

  20 more deliveries

Step-by-step explanation:

The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...

  $12/($0.60/pkg) = 20 pkgs

more each day.

The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Point A: ( -6,1 )

x₁ = -6

y₁ = 1

Point B: ( 8,-7 )

x₂ = 8

y₂ = -7

Now, plug the given x and y values into the slope formula above and simplify:

\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)

Therefore, the slope of the line is -4/7.

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Answer:

2x2x2x2.

Step-by-step explanation:

.

Answer:

2×2×2×2

Step-by-step explanation:

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There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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Answer:

rational

Step-by-step explanation:

a rational number is a number that can be expressed as the ratio of two numbers. 33 to 3 is a ratio, so this works.

it is not a whole number because it is not a counting number

it is also not a natural number because it is not a whole number

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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