If AB = 3x + 5, BC = 2x + 8, and AC = 88, what is the value of x?

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

The volume of the prism shown is equal to 145.89 cubic inches.

In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:

Volume of triangular prism, V = 1/2 × b × h.

Where:

By substituting the given dimensions (side lengths) into the formula for the volume of a triangular prism, we have;

Volume of triangular prism, V =  1/2 × 5.27 × 8.13 × 6.81

Volume of triangular prism, V = 291.775131/2

Volume of triangular prism, V = 145.89 cubic inches.

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The volume of the prism is 145.89 cubic inches.

To find the volume of a prism, multiply the area of the base by the height of the prism.

We know the formula for the volume of a triangular prism is:

\(V = \frac{1}{2}\times b \times h\)

Where:

b represent the base area of a triangular prism.

h represent the height of a triangular prism.

Therefore, we can calculate the volume of the prism by cubing the length of one of its sides:

\(V = \frac{1}{2}\times 5.27\times 8.13 \times 6.81\)

\(V= \frac{291.775131}{2}\)

\(V = 145.89\) cubic inches.

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Answer:

2.5 gramms = 2.500,000 Milligram (mg)

Step-by-step explanation:

multiply the mass value by 1000

Answer:

The first ship has the same speed as Saige's ship while the second and third do not have the same speed.

Step-by-step explanation:

d = Distance traveled by Saige's spaceship = 588 km

t = Time taken = 60 seconds

Speed is given by

\(s=\dfrac{d}{t}\\\Rightarrow s=\dfrac{588}{60}\\\Rightarrow s=9.8\ \text{km/s}\)

The other ships

\(s=\dfrac{441}{45}=9.8\ \text{km/s}\)

\(s=\dfrac{215}{25}=8.6\ \text{km/s}\)

\(s=\dfrac{649}{110}=5.9\ \text{km/s}\)

So, the first ship has the same speed as Saige's ship while the second and third do not have the same speed.

Answer:

c=1/4t-3

Step-by-step explanation:

with what question???

Answer:

What do you need help with.  i will help you.

i

Step-by-step explanation:

Step-by-step explanation:

here, 4 days = 20 miles

so, 1 day = 5 miles

hence, x miles = 5x miles

Answer:

.6

Step-by-step explanation:

Ratios are just another way of writing fractions. 3:5 is just 3/5 which is .6 or 60%

Answer:

The product is 9x^2+48x+64

Step-by-step explanation:

The vectors x in the null space of A are all those for which Ax = 0. (A). As a result, all that is required to determine whether a vector x is in the null space is to compute Ax and determine whether it is the zero vector, because the null space of an m x n matrix A is a subspace of \(R^{n}\).

Any matrix A's null space is made up of all vectors B such that AB = 0 and B is not zero. A known matrix of size m x n and a matrix that needs to be found of size n x k make up the equation for this equation, which can also be thought of as the solution.

The null space encompasses the whole domain since it is obvious that for Z, a zero matrix, and any vector v in the domain, Zv = 0 results in the zero vector. As a result, the nullity of any matrix with just zeroes would be equal to the number of columns in the matrix, or the domain's dimension.

A null space is also  the vector space.

We know that a null set satisfies the following properties of a vector space.

Now let \(x,y\) ∈ Null (A), ∝ ∈ IR, then

A[ax + y] =  ∝ A(x) + A(y)

A[ax + y] = ∝.0 + 0

A[ax + y] = 0

Thus,

∝x + y ∈ Null (A)

Therefore,

The vectors x in the null space of A are all those for which Ax = 0. (A). As a result, all that is required to determine whether a vector x is in the null space is to compute Ax and determine whether it is the zero vector, because the null space of an m x n matrix A is a subspace of \(R^{n}\).

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Part A: Therefore, the cake weighs 112 ounces. Part B: Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

Part A:

To convert pounds to ounces, we can use the conversion factor: 1 pound = 16 ounces.

Given that the cake weighs 3 (4/1) pounds, we can calculate the weight in ounces as follows:

3 4/1 pounds = 3 pounds + 4/1 pounds = 3 pounds + 4 pounds = 7 pounds

Converting 7 pounds to ounces: 7 pounds × 16 ounces/pound = 112 ounces

Therefore, the cake weighs 112 ounces.

Part B:

To convert gallons to pints, we can use the conversion factors: 1 gallon = 4 quarts and 1 quart = 2 pints.

Given that the running tap dispenses 0.15 gallons of water every second, we can calculate the amount of water dispensed in pints as follows:

0.15 gallons × 4 quarts/gallon × 2 pints/quart = 0.15 × 4 × 2 = 1.2 pints

Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

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A negative correlation coefficient indicates an inverse or indirect relationship between two variables. As one variable increases, the other tends to decrease or become smaller.

A correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1. A negative correlation coefficient indicates an inverse relationship between the variables.

In an inverse relationship, as one variable increases, the other variable tends to decrease or become smaller. Conversely, as one variable decreases, the other variable tends to increase or become larger. This means that the variables move in opposite directions.

For example, if we observe a negative correlation between the amount of studying done for an exam and the number of mistakes made, it means that as studying increases, the number of mistakes decreases, and vice versa.

On the other hand, a positive correlation coefficient indicates a direct relationship, where both variables tend to move in the same direction. In a positive correlation, as one variable increases, the other variable also increases, or as one variable decreases, the other variable decreases.

In conclusion, a negative correlation coefficient signifies an inverse relationship between two variables, where an increase in one variable is associated with a decrease in the other variable, and vice versa.

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Answer:

-3+5

Step-by-step explanation:

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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The value of the mod 128¹²⁹ mod 17 is 9 and (2²⁰ + 3³⁰ + 4⁴⁰ + 5⁵⁰) (mod7)  is 0.

An integer-based arithmetic system that takes the remainder into account is called modular arithmetic. In modular arithmetic, numbers "wrap around" to leave a residual when they reach a predetermined set amount (the modulus). As shown in Wilson's theorem, Lucas' theorem, and Hensel's lemma, modular arithmetic is frequently connected to prime numbers and is frequently used in computer algebra, computer science, and cryptography.

Using a 12-hour clock, modular arithmetic may be used in an intuitive way. If the time presently is 10:00, the clock will display 3:00 rather than 15:00 in 5 hours. 15 minus 3, with a modulus of 12, equals 3.

1) 128¹²⁹ mod 17 = (-8)¹²⁹ (mod 17)   [128% of 17]

= - (8).(8)¹²⁸(mod 17)

= -8 (4)⁶⁴ (mod 17)

= -8 (mod 17) = 9

Hence, 128¹²⁹ (mod 17) = 9

2) (2²⁰ + 3³⁰ + 4⁴⁰ + 5⁵⁰) (mod 7)

= (2²⁰ + 3³⁰ + (-3)⁴⁰ + (-2)⁵⁰) (mod 7)

= ((8⁶ x 4) + 9¹⁵ + (3²)²⁰ + (8¹⁶ x 4)) (mod 7)

= (4 + 2¹⁵ + 2²⁰ + 4) (mod 7)

= (16 + 2¹⁵ + 2²⁰) (mod 7)

= 7 mod 7 = 0

(2²⁰ + 3³⁰ + 4⁴⁰ + 5⁵⁰) (mod 7) is 0

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Answer:

1. 128129 ≡ 91 ≡ 9 mod 17

2. 0 because

this is for 2. --> 23≡(1)mod(7)

(23)6≡(1)6mod(7)

218×22≡(1×22)mod(7)

220≡(4)mod(7)

33≡(−1)mod(7)

(33)10≡(−1)10mod(7)

330≡(1)mod(7)

43≡(1)mod(7)

(43)13≡(1)13mod(7)

439≡(1)mod(7)

439×4≡(1×4)mod(7)

440≡(4)mod(7)

54≡(2)mod(7)

(54)12≡(2)12mod(7)

(548)≡(23)4mod(7)

(548)≡(1)4mod(7)

(548×52)≡(1×52)mod(7)

(550)≡(4)mod(7)

6≡(−1)mod(7)

(6)60≡(−1)60mod(7)

660≡(1)mod(7)

(220+310+440+550+660)≡(4+1+4+4+1)mod(7)

(220+310+440+550+660)≡(14)mod(7)

(220+310+440+550+660)≡(0)mod(7)

d)An error because d cannot be negative.

According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.

Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:

However, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.

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Answer:

Step-by-step explanation:

To determine if three given sides form a triangle, these sides have to comply with the following formulas:

Therefore,

a) Yes, it is an equilateral triangle.

b)

c)

d)

e)

A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.

For the given question,

The confidence bound's upper limit (UCB) is determined as follows:

UCB =  μ + z(α/2)×σ/√n

Now, α/2 = (1 - 0.95)/2

α/2 = 0.025

z(α/2) = 1.96  (obtain from t-distribution table for degree of freedom)

Put the values in the formula,

UCB =  μ + z(α/2)×σ/√n

UCB = 36.96 + 1.96×41.8/√15

UCB = 58.11

As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.

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The product of the leading digits is 10 or more, then the answer to this multiplication problem will have Seven digits.

The product of two numbers is the answer when they are multiplied. So, the product of 5 and 4 is the multiplication 5× 4 and is equal to 20.

A 3-digit number times an 3-digit number.

The largest 3-digit number = 999

The product of largest 3 digit number and 3 digit number = 999×999

= (1000-1)(1000-1)

=( 1000)² - 2000 + 1

= 1000000 - 1999

= 998001

Which is 6-digit number. So, the product of three digit number with three digit number is cannot be greater than 6-digit number .

Now, the product of 3-digit number times an 3-digit number is multiply by 10 then one more digit added to it .

So, the possible answer of this multiplication problem consists 7-digit number.

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Answer:

f(x) = 8(1/2)^x.

Step-by-step explanation:

According to the graph, there is a point at (0, 8) and (1, 4).

That means that when x = 0, y = 8.

8 = a(b)^0

1a = 8

a = 8

That means that a = 8, and when x = 1, y = 4.

4 = 8(b)^1

4 = 8b

8b = 4

b = 4/8

b = 1/2

So, f(x) = 8(1/2)^x.

Hope this helps!

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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The equation for the function g(x) is g(x) = (x + 4)² - 5.

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the negative y-direction (downward) is modeled by this mathematical expression g(x) = f(x) - N.

Where:

N represents an integer.

g(x) and f(x) represent a function.

Based on the graph of the parent function f(x) = x², an equation for g(x) in vertex form after a translation of 5 units downward and 4 units to the left is given by:

g(x) = (x + 4)² - 5.

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The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

=-1

Step-by-step explanation:

-10+2d=8

-10 from 8

2d=-2

divode both sides by 2

d=-1

Answer:

1234minutos de los pobres de los pinzones

Answer:

\(\displaystyle m\angle RTU=73^\circ\)

Step-by-step explanation:

Interior Angle of a Circle

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

\(\displaystyle x=\frac{p+q}{2}\)

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)

\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)

\(\boxed{\displaystyle m\angle RTU=73^\circ}\)

Answer:

The unit rate: 13 mi/gallon. Fraction 39/3

Step-by-step explanation:

39 miles/3 gallons. Simplify. 13 miles/1 mile=13 mi/gallon

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In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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All of the mentioned hypotheses can potentially explain the cause of hypervolemia in a patient.


1. High aldosterone secretion: Increased aldosterone secretion leads to excessive salt reabsorption, causing water retention to maintain salt concentration balance.
2. Insufficient natriuretic peptides: When there are too few natriuretic peptides released, the stretching of the atria due to excess water volume does not inhibit ADH or aldosterone, causing hypervolemia.
3. Excess antidiuretic hormone secretion: Over-secretion of antidiuretic hormone results in excessive water retention and stimulation of thirst centers, leading to hypervolemia.

Hypervolemia can be caused by various factors, including increased aldosterone secretion, insufficient natriuretic peptides, and excess antidiuretic hormone secretion. Identifying the specific cause in a patient requires further examination and testing.

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