June drinks 2.5 ounces of water every 20 minutes. How much water does she drink per hour?

The height of the painting in the scale drawing is approximately 5.8 centimeters (rounded to the nearest tenth).

To find the height of the painting in the scale drawing, we can set up a proportion using the given scale.

Given:

Scale: 2 centimeters represent 9 inches

Real height of the painting: 26 inches

Height in the scale drawing: ?

Let's set up the proportion:

2 centimeters / 9 inches = x centimeters / 26 inches

To solve for x (the height in the scale drawing), we can cross-multiply and then divide:

2 centimeters * 26 inches = 9 inches * x centimeters

52 centimeters = 9x

Dividing both sides by 9:

x = 52 centimeters / 9

x ≈ 5.8 centimeters

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer: No real number solutions

The complex number solutions are \(x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\\)

where \(i = \sqrt{-1}\)

=======================================================

Explanation:

The given equation 3x^2+2x+4 = 0 is in the form ax^2 + bx + c = 0

We have

Let's compute the discriminant.

d = b^2 - 4ac

d = (2)^2-4(3)(4)

d = -44

The result is negative, so there are no real number solutions.

----------------

If you wanted to find the complex valued solutions, then we apply the quadratic formula.

Plug in a = 3, b = 2, c = 4

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(3)(4)}}{2(3)}\\\\x = \frac{-2\pm\sqrt{-44}}{6}\\\\x = \frac{-2\pm\sqrt{-1*4*11}}{6}\\\\x = \frac{-2\pm\sqrt{-1}*\sqrt{4}*\sqrt{11}}{6}\\\\\)

\(x = \frac{-2\pm i*2*\sqrt{11}}{6}\\\\x = \frac{-2\pm2i\sqrt{11}}{6}\\\\x = \frac{2(-1\pm i\sqrt{11})}{6}\\\\x = \frac{-1\pm i\sqrt{11}}{3}\\\\x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\\)

Notice in step 3 we have -44 under the square root. The negative value in the square root leads directly to the imaginary number \(i = \sqrt{-1}\)

Though the term "imaginary" is a bit unfair and misleading because numbers like -22 are just as imaginary and made up by humans. It just depends on context in which imaginary numbers are useful (eg: with physics or engineering).

Answer:

A. 50.3 meters

Answer:

Step-by-step explanation:

Given

We have

Correct choice is D

The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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As per the given fee details, the monthly maintenance fee is $3.25

Here we have given that Alyssa’s bank charges $0. 25 for each check written, $0. 15 per ATM transaction, and a monthly fee to maintain a checking account.

While we looking into the given table we have identified that

Number of ATM transaction = 23

Then the fee for ATM transaction is calculated as,

=> Fee of ATM transaction = 23 x 0.15 = $3.45

Then the number of check written is 17.

And the fee for the check written is calculated as,

=> Fee for Check written = 17 x 0.25 = $4.25

Here we know that the Total checking account fees $10. 95 and let us consider that x be the amount for maintenance fee, then it can be written as,

=> $3.45 + $4.25 + $x = $10.95

=> $7.7 + $x = $10.95

=> x = 10.95 - 7.7

=> x = $3.25

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Answer:

that will be 4

Step-by-step explanation:

it goes by 4

Answer:

Step-by-step explanation:

"All terms are even because even + even = even" is correct.  All of the given terms are even and the "common difference," 18, is also even.

Answer:

$961.93

Step-by-step explanation:

7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.

Answer:

reciprocal

Step-by-step explanation:

mark me brainliest pls

Answer: 2.5, 5.4

Step-by-step explanation:

\(-16t^2 +126t=213\\ \\ 16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)

The value of x is 50°

The value of y is 85°

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral.

It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

How to find the angles.

Knowing that the sum of the angles D and angles A is equal to 180°,

2x + 5° +x + 25° = 180°

We collect like terms from here.

3x = 180° - 5° - 25°

3x = 150°

x = 150/3

x = 50°

We can find the value of y using the same principle

where angle C + angle B = 180°

95° + y = 180°

Collect like terms.

y = 180° - 95°

y = 85°

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Answer:

P = mgh

P/mg = h

We can divide both sides by mg, since both mass and gravity are being multiplied and not added.

Hope this helps!! :)

Step-by-step explanation:

The value of c for a standard normal distribution, P(z < c) = 0. 3387 is -0.41.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Given that P(z < c) = 0. 3387; hence:

From the normal distribution table, c = -0.41

The value of c for a standard normal distribution, P(z < c) = 0. 3387 is -0.41.

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Answer:5

Step-by-step explanation:

They’re 3 dots above $4.00 and 2 above $5.00. 3+2=5

Answer:

5 its 5 and its 5 because its 5 XD its 5

Answer:

0.046

0.05

Step-by-step explanation:

Do you mean rounded?

The most accurate statement in this scenario is option B) For the 50% bonus level, the critical value is -1.65 and Huffman should give Brickley a 50% bonus.

To understand why this statement is accurate, let's go through the steps:

1) We are given that the population turnover rates are normally distributed with a population standard deviation of 1.5%. This information allows us to use statistical tests to make inferences about the population based on a sample.

2) A recent sample of 100 branch offices resulted in an average turnover rate of 24.2%. This sample average is a point estimate of the population average turnover rate.

3) We want to determine whether Brickley should receive the 50% bonus or not. To make this decision, we need to perform a hypothesis test.

4) The null hypothesis (H0) in this case is that Brickley cannot reduce turnover to less than 25%. The alternative hypothesis (Ha) is that Brickley can reduce turnover to less than 25%.

5) Using a significance level of 10%, we need to find the critical value. In this case, the critical value for a one-tailed test is -1.65.

6) We calculate the test statistic by subtracting the population mean from the sample mean and dividing it by the standard error of the sample mean. The standard error is the population standard deviation divided by the square root of the sample size.

7) The test statistic in this case is not given, but based on the information provided, we cannot calculate a test statistic of -533 or -10.66.

8) Since the test statistic is not provided, we cannot make a decision based on it. Instead, we compare the sample mean (24.2%) with the critical value (-1.65) to determine whether it falls in the rejection region or not.

9) If the sample mean falls in the rejection region (less than -1.65), we reject the null hypothesis and conclude that Brickley can reduce turnover to less than 25%. In this case, Huffman should give Brickley a 50% bonus.

10) Based on the information given, we cannot determine whether the sample mean falls in the rejection region or not. Therefore, we cannot make a definitive decision regarding the bonus.

In conclusion, option B) is the most accurate statement as it correctly states the critical value for the 50% bonus level, but it does not provide enough information to make a final decision about the bonus.

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Answer:

third option

hope helpful <3

Answer: C. 21,600,000

Step-by-step explanation: You're welcome. :D

We need the answer choices

The answer is

Subtract 2 from 5 to get 3.

3x2=6

subtract 7 from -4 to get -11

Add -2 and 4 to get 2.

Fraction  

can be rewritten as −  

by extracting the negative sign.

Convert 6 to fraction 12/2

Since the 2 fractions have the same denominator, subtract them by subtracting their numerators.

1/2= 0.5 (decimal form)

(a), the linear transformation T is not one-to-one because T(-3, -4, 1) = T(-3, -5, -3), which means that two different inputs map to the same output. In situation (b), it is not possible to determine whether T is one-to-one based solely.

a. To determine if T is one-to-one, we need to check if different inputs map to different outputs. Given T(0, -2, -4) = u, T(-3, -4, 1) = v, and         T(-3, -5, -3) = u + v, we can see that T(-3, -4, 1) = T(-3, -5, -3). This means that two different inputs (-3, -4, 1) and (-3, -5, -3) map to the same output u + v. Therefore, T is not one-to-one in this situation.

b. In this situation, we are given T(a) = u, T(b) = v, and T(c) = u + v. However, we do not have any information about whether a, b, and c are different or if u and v are different.  If T is one-to-one based on this information alone. To determine if T is one-to-one, we would need additional information or a specific description of the linear transformation.

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Answer:

53.6°

Step-by-step explanation:

Pretty much just add all the (y)s together then divide by 10.

50+52+51+54+53+57+54+54+55+56=536

536/10 =53.6

the average temperature is 53.6°

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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In grade 7, students will encounter mixed fraction addition, subtraction, multiplication, and division word problems.

When adding or subtracting mixed fractions, follow these steps:

Convert the mixed fractions into improper fractions.

Find a common denominator for the fractions involved.

Perform the addition or subtraction operation on the numerators, while keeping the common denominator.

Simplify the resulting fraction, if possible, by reducing it to its simplest form or converting it back to a mixed fraction.

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Answer:

D. -1.5

Step-by-step explanation:

Answer:

Your answer should be 54!

The hydrostatic force is given by the integral of the force acting on

small horizontal strips from the base to the top of the triangle.

Response:

The given parameters are;

Base of the triangle = 6 m

Height of the triangle = 15 m

Acceleration due to gravity, g ≈ 9.8 m/s²

Weight density of water, ρ ≈ 1,000 kg/m³

Required:

Hydrostatic force on one side of the plate

Solution:

Considering a thickness, dx, having area, dA = y·dx

The pressure on the strip = ρ·g·x

Force on the strip, dF = ρ·g·x·y·dx

Using similar triangles, we have;

\(\dfrac{x}{15} = \dfrac{y}{6}\)

Which gives;

\(y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}\)

Therefore;

\(dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}\)

Which gives;

\(F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}\)

Therefore;

\(F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g\)

Which gives;

F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN

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