Jonathan's aquarium

holds about 20 gallons of water if he

fills the aquarium at a rate of two

gallons per minute how many

milliliters of water are going into the

aquarium every second

Step-by-step explanation:

radius (r) = 6

height (h) = 8

total surface area = 2π×r×h + 2πr²

= (2×3.14×6×8) + (2×3.14×6×6)

= (301 44) + (226.08)

= 527.52

If the matrix D = ABC is invertible, then it implies that A, B, and C are also invertible matrices, each having an inverse that satisfies the properties of matrix multiplication.

Assuming that the matrix D = ABC is invertible, we need to prove that each matrix A, B, and C is also invertible.

To show that a matrix is invertible, we need to demonstrate that it has an inverse matrix that satisfies the properties of matrix multiplication.

Let's assume D⁻¹ is the inverse of D. We can rewrite the equation D = ABC as D⁻¹D = D⁻¹(ABC). This simplifies to the identity matrix I = D⁻¹(ABC).

Now, consider the expression (D⁻¹A)(BC). By multiplying this expression, we get (D⁻¹A)(BC) = D⁻¹(ABC) = I. Thus, (D⁻¹A) is the inverse of the matrix BC.

Similarly, we can prove that both (D⁻¹B) and (D⁻¹C) are inverses of matrices AC and AB, respectively.

Therefore, since each matrix (D⁻¹A), (D⁻¹B), and (D⁻¹C) is an inverse, A, B, and C are invertible matrices.

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Answer:

It is on floor 2

Step-by-step explanation:

15-18=-3

-3+5=2

hope this helped :)

Answer:

it is on the 2nd floor

Step-by-step explanation: this is because it started at 15, then went down 18: 15-18

     -3

then it went up 5: -3+5  or 5-3

                                to end up at the 2nd floor

The amount of calories per ounce does the steak have is 75 calories per ounce.

Using this formula

Calories per ounce=Total calories/Number of oz sirloin steak

Where:

Total calories=1,800 calories

Number of oz sirloin steak=24 oz

Let plug in the formula

Calories per ounce=1800/24 oz

Calories per ounce=75 calories per ounce

Inconclusion the amount of calories per ounce does the steak have is 75 calories per ounce.

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Answer:

40

Step-by-step explanation:

82 + 58 + ? = 180

140 + ? = 180

? = 40

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Answer: the answer is c

Step-by-step explanation:

The graph that represents the solution to the set of the inequality is -13 -14.

The graph that represent the solution to the inequality must contain numbers greater than negative 14.5 (-14.5). These numbers start from -14 to inifinity.

The given inequality; -14.5 < x

The possibles values in the solution of the inequality = -14, - 13, - 12, - 11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0. etc

Therefore, the graph that represents the solution to the set of the inequality is -13 -14.

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A brownie recipe calls sugar for 1 time = 1 cup

A brownie recipe calls sugar for 12 times = 1*12

= 12

They were warriors who took prisoners all throughout Europe and used swords and axes in battle. Option C i.e. both these is the answer.

They were also skilled boat builders and sailors. The Vikings gained notoriety for setting sail from their native Scandinavia and engaging in international trade. The Vikings nearly destroyed the entirety of Europe at various points, and their impact was felt all across.

They were adept at building ships and armaments, and due to their practicality, designs for these items were adopted by a number of militaries around the world. A number of cultures were influenced by their traders' international trade in jewelry and other commodities because they were also excellent metalworkers.

The given question is incomplete, the complete question is:

Which of the following were the Vikings known for? a. using both swords and axes in battle b. being the only fighters across Europe to take prisoners c. both of these d. neither of these

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The probability that a phenotypically normal sixth child will be a carrier of the sickle cell allele (HbS) if both parents are carriers is 50%.

This is because the probability of inheriting a specific allele from a parent is always 50%. This is because each parent has two copies of each gene, one inherited from each parent, and during meiosis, the egg or sperm cell that a child inherits one of these copies at random. Since each parent has one copy of the HbS allele, and the child has a 50% chance of inheriting either the allele from the mother or the allele from the father, the overall probability of the child inheriting the HbS allele is 50%.

Also, the probability of a child being a carrier of the HbS allele is determined by the probability of inheriting one copy of the HbS allele from each parent, which is 25%. This is because the probability of inheriting one allele from one parent and one allele from the other is the product of the individual probabilities (0.5 x 0.5 = 0.25 or 25%).

The phenotype of the previous children or the genotype of the parents does not affect these probabilities, so the probability of a phenotypically normal sixth child being a carrier is still 50%.

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To find the coordinates of point B, which is the other endpoint of line segment AB, we can use the midpoint formula. The coordinates of point B are (2, -4).

The midpoint formula states that the coordinates of the midpoint M between two points A(x1, y1) and B(x2, y2) is given by M((x1 + x2)/2, (y1 + y2)/2). Given that the midpoint M is (-3, -3) and the coordinates of point A are (-8, -2), we can find the coordinates of point B.

Let the coordinates of point B be (x, y). We are given that the midpoint M is (-3, -3) and the coordinates of point A are (-8, -2). Using the midpoint formula, we have:

M((x1 + x2)/2, (y1 + y2)/2) = (-3, -3)

Substituting the coordinates of A and the midpoint values into the formula, we get:

((-8 + x)/2, (-2 + y)/2) = (-3, -3)

Simplifying, we have:

(-8 + x)/2 = -3 and (-2 + y)/2 = -3

To solve the first equation, we multiply both sides by 2 and add 8:

-8 + x = -6

x = -6 + 8

x = 2

Similarly, for the second equation, we multiply both sides by 2 and add 2:

-2 + y = -6

y = -6 + 2

y = -4

Therefore, the coordinates of point B are (2, -4).

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Answer:

12x^7.

Step-by-step explanation:

3x^3(4x^4)=

3*4 * x^(3+4)

= 12x^7.

There is a 0.6915 = 69.15% probability that Gus will knock down more pins than Cal.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

When two variables are subtracted, we have that:

Hence the mean and the standard deviation for D are given as follows:

The probability that Gus will knock down more pins than Cal ia P(D > 0), which is one subtracted by the p-value of Z when X = 0, hence:

Z = (0 - 25)/50

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

Hence:

1 - 0.3085 = 0.6915 = 69.15%.

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Answer: 3x/6=4

Step-by-step explanation:

3x/6 = 4

multiply 6 on both sides to remove fraction.

3x=24

x=8

Answer:

-13

Step-by-step explanation:-9 turns to 9 then -4-9=13

Answer: 3/5 is the simplest form that can be made of that fraction. If you happened to need it as a decimal it is 0.6

Answer:

its 3/5 because it can't be any smaller

Answer: IMA LET YOU KNOW THIS THAT ITS ACTUALY  -3 8/10

Step-by-step explanation:

If Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole. Then the elevation of the hole after placing the bush in the hole is \(1\frac{3}{4}\)

Two or more expressions with an Equal sign is called as Equation.

Given that Parin digs a hole at a rate of 5/6 feet every 15 minutes.

In 45 minutes, Parin digs a hole of 5/6×45/15

5/6×3

5/2

The total depth of the digging = 5/2

Now, 3/4 feet dig is filled by bush, so the remaining elevation of the depth, = 5/2- 3/4

five by two minus three by four.

5/2-3/4

Take LCM of 2 and 4

(10-3)/4

7/4

the elevation of the hole after placing the bush in the hole is 7/4.

Now we can write in mixed fraction \(1\frac{3}{4}\)

Hence elevation of the hole after placing the bush in the hole is \(1\frac{3}{4}\)

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In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.

To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.

Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:

Bearing of A from C = 50° + 180° = 230°

Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

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Complete question -

The 33rd term of the given Arithmetic progression will be -132.

What is an Arithmetic progression?

A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.

Given, first term= a1= 28

and, a93 = -432

we know that, a93 = -432

                   a + 92d = -432 (where d is the common difference)

                  28 + 92d = -432

                     92d = -432-28

                             = -460

                       d = -460/92 = -5.

Now, we can find the a33,

               a33 = a + 32d

                       = 28 + (32× -5)

                       = 28-160

                       = -132.

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The given expression is $\frac{6}{t}+\frac{8}{u}-\frac{9}{v}$ and we need to rewrite this expression without any denominator in it. Step-by-step explanation: We can use the concept of the Least Common Multiple (LCM) of the denominators to remove the fractions in the expression. By taking the LCM of the denominators of the given expression, we have,$LCM\text{ of }t, u, v = t \cdot u \cdot v$ Now, multiplying each term of the given expression with the LCM $t \cdot u \cdot v$, we get,$\frac{6}{t}\cdot t \cdot u \cdot v+\frac{8}{u}\cdot t \cdot u \cdot v-\frac{9}{v}\cdot t \cdot u \cdot v$$6uv + 8tv - 9tu$$\therefore \text{The given expression without any denominator is } 6uv + 8tv - 9tu.$Thus, we can rewrite the given expression $\frac{6}{t}+\frac{8}{u}-\frac{9}{v}$ without any denominator in it as $6uv + 8tv - 9tu$.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM. Take the positive integers 4 and 6 as an illustration.

There are four multiples: 4,8,12,16,20,24.

6, 12, 18, and 24 are multiples of 6.

12, 24, 36, 48, and so on are frequent multiples for the numbers 4 and 6. In that lot, 12 would be the least frequent number. Now let's attempt to get the LCM of 24 and 15.

LCM of 24 and 15 is equal to 222235 = 120.

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Answer:

If I do not have power at my house I cannot charge my phone.

Step-by-step explanation:

This is a conditional statement so you can say anything you want as long as it makes sense. I don't know if you're a boy or girl so I'll put too statements. Boy: If I do not have power at my house I cannot play on my console with my friends. Girl: If I do not have power at my I cannot curl my hair for the dance tonight.

Hope this helps you!!!

Answer:

Uh, there's a format error, can you add a photo?

Step-by-step explanation:

The area of the parallelogram is given by the distance formula and the value of A = 13 square units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the parallelogram be ABCD

Let the height of the parallelogram be AD

And , the base of the parallelogram be DC

where the area A = AD x DC

Now , the coordinates of A = A ( 3 , 6 )

The coordinates of D = ( 2 , 2 )

The coordinates of C = C ( 5 , 1 )

The distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

So , the distance of AD = √ ( ( 3 - 2 )² + ( 6 - 2 )² )

The distance of AD = height of parallelogram AD = √17

And , the distance of DC = √ ( ( 2 - 5 )² + ( 2 - 1 )² )

So , the distance of DC = width of parallelogram DC = √10

And , area of parallelogram A = AD x DC = √17 x √10 = √170 units²

Hence , the area of parallelogram is A = 13 square units

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The complete question is attached below :

What is the area of parallelogram ABCD?

13 square units

14 square units

15 square units

16 square units

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

To perform a hypothesis test on the proportion of people who subscribe to a cable television service versus others, we need to check the following conditions:

1. Random Sampling: Ensure that the sample is randomly selected, which means each person has an equal chance of being selected. This is important to avoid biases and ensure the sample is representative of the population.

2. Independence: If sampling without replacement, the sample size (n) should be less than 10% of the population size (N) to assume independence. This is called the 10% Rule. Independence is important because the outcome of one person's choice should not affect another person's choice.

3. Normality: We need to ensure that the sampling distribution of the sample proportion (p-hat) is approximately normal. This can be checked using the success-failure condition, which states that both np and n(1-p) should be greater than or equal to 10. This ensures that the distribution is sufficiently normal to apply the z-test.

To help the student, remind them to:

1. Verify that the sample is random.
2. Check the independence condition by confirming the sample size is less than 10% of the population size.
3. Check the normality condition by calculating np and n(1-p) and making sure both values are greater than or equal to 10.

It is crucial to check these conditions because if they are not met, the hypothesis test's results may not be valid or reliable. Meeting these conditions ensures that the statistical methods applied are appropriate and provide accurate results for making conclusions.

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Answer:

A and D

Step-by-step explanation:

the slope is the number in front of the x, as in the formula y = a*x + b

the linear equations that have a negative value for a have a negative slope

Answer:

The answer is apple

Step-by-step explanation: If you break it out correctly, whenever the sky tastes like watermelon its a sign of the birth of apples.

Answer:

the answer is simply 14

Step-by-step explanation:

its ez dum baby brain

Answer:

The measure of arc SQ is 95° ⇒ (1)

Step-by-step explanation:

In the given circle

∵ S lies on the circumference of the circle

∴ ∠QSR is an inscribed angle

∵ ∠QSR is subtended by arc QR

→ By using the 2nd rule above

∴ m arc QR = 2 × m∠QSR

∵ m∠QSR = 95°

∴ m arc QR = 2 × 95

∴ m arc QR = 190°

→ By using the 1st rule above

∵ m of the circle = m arc QR + m arc SQ + m arc SR

∵ m arc SR = 75° and m arc QR = 190°

→ Substitute them in the equation above

∴ 360 = 190 + m arc SQ + 75

→ Add the like term in the right side

∴ 360 = 265 + m arc QS

→ Subtract 265 from both sides

∵ 360 - 265 = 265 - 265 + m arc SQ

∴ 95° = m arc SQ

∴ The measure of arc SQ is 95°

Answer:

2000

Step-by-step explanation: