In order for Brady to earn a B in his biology course, his test scores must average at least 80%. On the first 5 tests, he
has an average of 77%. There is one test remaining in the course. Write an inequality then find what is the
minimum score Brady needs to earn on the last test to receive a B in the class?

For the equation slope and y-intercept are respectively,  -4 and 97

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

The rate of change of y with respect to x is shown by the slope of a line in the equation y = mx + b.

The value of y when x is 0 is represented by the y-intercept of a line in the equation y = mx + b. The y-intercept in this situation is 97, which indicates that a student's expected final exam score is 97 if they have no absences.

Therefore, the following interpretation can be made for the line of fit's slope and y-intercept:

The final exam score drops by 4 points for every additional absence, according to the slope of -4.

The y-intercept of 97 implies that a student's final exam grade would be 97 if they had no absences.

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Answer:

the ordered pair (0, 1/6)

Step-by-step explanation:

To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:

g(x) = f(-x) = 1/6(2/5)^(-x)

To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:

g(0) = 1/6(2/5)^(-0) = 1/6

Therefore, the ordered pair (0, 1/6) is on the graph of g(x).

Let X be a continuous random variable with the following density function: 1 f(x) = 3*, 0 < x < 1. Compute the expected value and variance of X.

Expected value: The expected value or the mean of the continuous random variable X is given by μ= ∫x * f(x) dx, where f(x) is the probability density function of the continuous random variable X, and the integral is taken over the entire range of X. In this case, f(x) = 3, 0 < x < 1. Therefore, the expected value or the mean of X is given by:

μ= ∫x * f(x) dx = ∫x * 3 dx (0 < x < 1).

On integrating, we get: μ= [3/2 * x²]₀¹= 3/2 * 1² - 3/2 * 0²= 3/2. The expected value of X is 3/2 or 1.5. Variance: The variance of the continuous random variable X is given byσ²= ∫(x - μ)² * f(x) dx, where f(x) is the probability density function of the continuous random variable X, and the integral is taken over the entire range of X. In this case, f(x) = 3, 0 < x < 1, and μ = 3/2. Therefore, the variance of X is given by:

σ²= ∫(x - μ)² * f(x) dx = ∫(x - 3/2)² * 3 dx (0 < x < 1).

On integrating, we get:σ²= [x³/3 - 3/2 * x² + 27/8 * x]₀¹= (1³/3 - 3/2 * 1² + 27/8 * 1) - (0³/3 - 3/2 * 0² + 27/8 * 0)= 1/3 - 3/2 + 27/8= 7/24. The variance of X is 7/24.

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Answer: Click on this: a=13.6cm,b=9.5cm and c=2.6cm for the triangle show it has a step by step way

Step-by-step explanation:

Answer:

z = − 5 + 7i

Step-by-step explanation:

z + 14 - 5i = 9 + 2i
Subtract 14 from both sides.

z - 5i = 9 + 2i -14
Subtract 14 from 9 to get -5.

z - 5i = -5 +2i
Add 5i to both sides.

z = -5 + 2i + 5i
Combine real and imaginary parts.

z = -5 + (2+5)i
Add 2 to 5.

z = -5 + 7i

Hope this helps!

Answer:

7i - 5

Step-by-step explanation:

z + (14 - 5i) = 9 + 2i

=> z + 14 - 5i = 9 + 2i

=> z = 9 + 2i + 5i - 14

=> z = 7i - 5

Answer:

h is the a

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

d

Viola covered approximately 33.7 meters horizontally while driving 200 meters up a hill that makes an angle of 9 degrees with the horizontal. This can be calculated using trigonometry.

In a right triangle where one angle is 9 degrees and one side is 200 meters (the hypotenuse), the adjacent side (the horizontal distance covered by Viola) can be found by taking the tangent of the angle. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side.

By multiplying the length of the hypotenuse (200 meters) by the tangent of the angle (tan(9)), we can find the length of the adjacent side, which is the horizontal distance covered by Viola. This calculation gives us approximately 33.7 meters.

Therefore, Viola drove 200 meters up the hill and covered approximately 33.7 meters horizontally to get to her destination.

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Answer:

it is the first option

Step-by-step explanation:

First step. Switch the greater than sign and turn the linear inequality to slope formula. after that graph the line. it is a dashed line due to not being greater than EQUAL to. if not equaled to then it is dotted. then you need a point as your testing point to see if it is shaded in that area. I chose to(0,0) but you could have chose any point. Once you plug in the zeros you will notice you get the false statement of 0 greater than 15. so obviously that is a no so you shade the opposite side of your testing point. phew

Answer:

A. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.

Step-by-step explanation:

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

\(EF=AD=18\)

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

\(AB=DC\)               (Legs of isosceles trapezoid)

\(AE=DF\)                (Vertical height of isosceles trapezoid)

\(m\angle AEB=m\angle DFC\)             (Right angle)

\(\Delta ABE\cong \Delta DCF\)                (HL postulate)

\(BE=CF\)                (CPCTC)

Now,

\(BE+EF+FC=BC\)

\(2BE+18=24\)

\(2BE=24-18\)

\(2BE=6\)

\(BE=3\)

Using Pythagoras theorem in triangle ABE, we get

\(Hypotenuse^2=Perpendicular^2+Base^2\)

\((AB)^2=(AE)^2+(BE)^2\)

\((AB)^2=(4)^2+(3)^2\)

\((AB)^2=16+9\)

\((AB)^2=25\)

Taking square root on both sides, we get

\(AB=\pm \sqrt{25}\)

\(AB=\pm 5\)

Side length cannot be negative. So, \(AB=5\).

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

Answer:

c

Step-by-step explanation:

Temperament is to do with the personality of someone.

Thus the dog's temperament would relate to its physical and mental character.

c

Temperament is to do with the personality of someone.

Thus the dog's temperament would relate to its physical and mental character.

Answer:

47 miles

Step-by-step explanation:

first subtract 6 from 39 and divide the remainder by 0.7. Round to 47 for answer.

Step-by-step explanation:

\( {(9p - 5q)}^{2} \)

Hence according to ,

\( {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \)

So,

\( {(9p)}^{2} - 2 \times 9p \times 5q + {(5q)}^{2} \)

\(81 {p}^{2} - 90pq + 25 {q}^{2} (ans)\)

Answer:

141°

Step-by-step explanation:

The sum of the internal angles can be calculated using the following formula:

(number of sides - 2) x 180°

This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.

Subtract the other given angles from 900°.

(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°

Answer:

x equals 141°

Step-by-step explanation:

The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-

(7 - 2) x 180°

5 x 180°

= 900°

All the given angles + x gives 900°.

So, to find 'x' we can do the following:-

148° + 125° + 122° + 131° + x° + 126° + 107° = 900°

759 + x = 900

x = 900 - 759

x = 141°

Answer:

-9 7/15

Step-by-step explanation:

The largest three-digit number satisfying the given criteria is 964.

Given that all the digits of a three-digit integer are distinct and non-zero.

Further more, the three-digit integer is divisible by each of its digits.

We are to find the largest three-digit integer that has these properties.

What we know: We know that a number is divisible by its digit if and only if the number is divisible by the least common multiple of the digits of the number.

Since all the digits are distinct and non-zero, the least common multiple of the digits of the number is simply the product of the digits.

Let's assume the number to be a b c,

where a, b, and c represent digits of the three-digit integer.

We are required to find the largest such number satisfying the given criteria.

Since the number must be divisible by each of its digits, it follows that each digit must be a factor of the number.

Hence, we can write,

a b c = a x b x c

The number must be greater than 100.

Hence, a must be at least 1. b and c must be distinct from a and from each other.

Hence, the smallest possible value for b is 2, and for c is 3.

This gives us the following equations: 123 = 1 x 2 x 3124

= 1 x 2 x 4125

= 1 x 2 x 5126

= 1 x 2 x 6128

= 1 x 2 x 8129

= 1 x 2 x 9

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Answer:

\(\dfrac{3}{4}\)

Step-by-step explanation:

Given an event A

The probability of A occurring + The probability of A not occurring=1

or we can say:

P(A)+P(\(A^c\))=1, where \(A^c\) is the complement of A.

In the given problem, if the probability of selecting a pink rose is 1/4.

(I want to presume its 1/4 not 14 since probability cannot be greater than 1)

We then have:

P(selecting a pink rose) + P(not selecting a pink rose)=1

P(not selecting a pink rose)=1-P(selecting a pink rose)

\(=1-\dfrac{1}{4}\\\\=\dfrac{3}{4}\)

well, one quarter of a year is 3 months, so at the end of third quarter, 9 months have passed, and since a year has 12 months, 9 months are simply 9/12 of a year.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$960\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases}\)

\(A=960\left(1+\frac{0.07}{4}\right)^{4\cdot \frac{3}{4}}\implies A=960(1.0175)^3\implies A\approx 1011.29\)

The drink costs $1.50. You pay 6% sales tax and leave a $3 tip. You

pay a total of $12.54.The sandwich cost is $34.1 .

Unless the transactions is exempt, every sale, entry, holding, or lease  is taxable. The cost of taxable products or services is increased by the sales tax, which is then charged to the customer at the point of sale.

The right response for Bea's overall price is $34.92

$3.50 + $9.80 + $13.90, or $272, is the total cost of takeaway.

The current sales tax rate is 7%.

and Tip is 20%.

Sales Tax = $27.2 x 7%

$1.90 sales tax

Similar Tip = $5.84 of $27.2 Tip

Tip = $5.84 The overall cost is thus: 

The overall cost is thus: 

Given.

Price in total: $27.2 plus $1.90 Plus $5

A tax rate is the amount at which a company or individual is subject to tax. Tax rates can be shown in a variety of ways, including average, marginal, even effective.

To finance its operations, the government levies fees on citizens based on factors like their income, the worth of the property, etc.

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Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

Answer:

4k+11 is the answer

Step-by-step explanation:

7k-3k =4k

4k+11!

The least square approximation of degree 2 for sin(x) on the interval over the function (-2, 5) is f(x) ≈ 0.223 + 0.394x + 0.090x².

To find the least square approximation of degree 0, we look for a constant function that best approximates sin(x) on the interval (a, b). Since the weight function is constant, the least square approximation of degree 0 is simply the average of the function values over the interval. Thus, for the interval (-7, 7), the least square approximation of degree 0 is:

a₀ = (1/(7-(-7))) ∫(-7)⁷ sin(x) dx = 0

Similarly, for the interval (-2, 5), the least square approximation of degree 0 is:

a₀ = (1/(5-(-2))) ∫(-2)⁵ sin(x) dx = 0.2778

To find the least square approximation of degree 1, we look for a linear function that best approximates sin(x) on the interval (a, b).

Solving this system of equations leads to the following coefficients for the interval (-7, 7):

a₀ = 5/14π ≈ 0.224 a₁ = 2/7π ≈ 0.452

Thus, the least square approximation of degree 1 for sin(x) on the interval (-7, 7) is f(x) ≈ 0.224 + 0.452x.

Thus, the least square approximation of degree 1 for sin(x) on the interval (-2, 5) is f(x) ≈ 0.2778 + 0.287x.

To find the least square approximation of degree 2, we look for a quadratic function that best approximates sin(x) on the interval (a, b). We represent the quadratic function as f(x) = a₀ + a₁x + a₂x² and find the coefficients a₀, a₁, and a₂ that minimize the sum of the squared differences between sin(x) and f(x) on the interval (a, b).

Solving this system of equations leads to the following coefficients for the interval (-7, 7):

a₀ ≈ -0.006 a₁ ≈ 0.999 a₂ ≈ 0.005

Thus, the least square approximation of degree 2 for sin(x) on the interval (-7, 7) is f(x) ≈ -0.006 + 0.999x + 0.005x².

Similarly, for the interval (-2, 5), the least square approximation of degree 2 is:

a₀ ≈ 0.223 a₁ ≈ 0.394 a₂ ≈ 0.090

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The null and alternative hypotheses are:

H0: β1 = 0 (The slope is not significant.)

H1: β1 ≠ 0 (The slope is significant.)

Here,β1=0.0943seβ1=0.107α=0.05

Test the slope significance and find the t-test statistic.

We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.

t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881

The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.

In this problem, the decision rule and conclusion are as follows:

Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.

Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.

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To use substitution to determine which value of x makes the equation true, we must first have an equation to substitute the values from the set {4, 8, 10} into.

If we don't have an equation, we can't use substitution.

It would be helpful if you could provide an equation to solve with the set {4, 8, 10}

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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Answer: Choice D.  (x/8) - 2 = 5

Work Shown:

x = Aatif's age

x/8 = divide the age by 8

(x/8) - 2 = divide the age by 8 first, then subtract off 2

(x/8) - 2 = 5 .... the previous result is equal to 5

The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.

Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).

(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).

(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.

By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.

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