A coupon discounts the total grocery bill by $3.50. How many dollars g is the bill after the discount if the bill before the discount is b dollars? Write an equation to represents the situation.

Answer:

m angle N = 160 degree

Step-by-step explanation:

THANKS FOR SHARING YOUR QUESTION

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Answer:

(2.5a, 2b) your welcome

Step-by-step explanation:

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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Yes, the triangles are congruent, when ∧ADC is congruent to ∧CBA and

segments AB and DC are congruent

Full form of SAS:-Side-angled-Side

SAS Rule:- When two triangles are congruent if the two sides and an included angle of one triangle are equal to the two sides and an included angle of the other triangle, then the triangles are said to be SAS congruency.

If two triangles are similar then:

The area of the triangle using the SAS formula = 1/2 × h × b × sin c.

h= height

b=base

c is the angle.

Consider ∧ADC and  ∧CBA

Given

AB=BC ∠DCA=∠CAB

Also AC=AC(common side)

By SAS Criteria

∧ADC=∧CBA (congruent)

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The equation x(x - 3m) = -5m² is non-real as the discriminant of the quadratic equation will be negative.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

The equation for this problem is defined as follows:

x(x - 3m) = -5m²

x² - 3mx + 5m² = 0.

The parameters are given as follows:

a = 1, b = -3m, c = 5m².

Hence the discriminant is given as follows:

Δ = (-3m)² - 4(1)(5m²)

Δ = 9m² - 20m²

Δ = -11m².

-11m² is always negative, hence the discriminant is negative and the equation is non-real.

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Answer:

$80

Step-by-step explanation:

36/0.45=80

Answer:

Side TN

Step-by-step explanation:

The hypotenuse is always the opposite of the right angle of a triangle.  

The magnetic field at the center of the circular wire loop is approximately 2π × 10⁻⁵ Tesla.

The formula for the magnetic field at the center of a circular wire loop is given by:

B = (μ₀ × I × N) / (2 × R)

Where:

B is the magnetic field at the center of the loop,

μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A),

I is the current passing through the loop,

N is the number of turns in the loop, and

R is the radius of the loop.

Given:

Radius of the circular wire loop, R = 5 cm = 0.05 m

Number of turns, N = 12

Current, I = 3 A

Substituting these values into the formula, we have:

B = (4π × 10⁻⁷ T·m/A) × (3 A) × (12) / (2 × 0.05 m)

Simplifying further:

B = (2π × 10⁻⁶)× (36) / (0.1)

B=2π × 10⁻⁵ T

Therefore, the magnetic field at the center of the circular wire loop is  2π × 10⁻⁵ Tesla.

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The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,

Collecting data and analyzing results.
Random assignment:

To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:

In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.

This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:

The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.

After the two-week period, the researcher should collect the test scores of both groups and compare their performance.

This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.

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Answer:

its the third answer

Step-by-step explanation:

The third anwser is 66% which we can noow nominate any lower.

The second answer is 60% we can get rid of that.

the first is 55% we can get rid of that.

and the fourth is 62.5% so we can get rid of that.

Answer:

the third one or c

Step-by-step explanation:

The slope of the line segment is 3/5. Your answer is A) 3/5.

To find the slope of the line segment given by the parametric equations, we need to find the slope of the line passing through the two endpoints of the segment.

When t = -3, x = 5(-3) + 2 = -13 and y = 3(-3) = -9. So the first endpoint is (-13, -9).

When t = 3, x = 5(3) + 2 = 17 and y = 3(3) = 9. So the second endpoint is (17, 9).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9 - (-9))/(17 - (-13)) = 18/30 = 3/5


So, the slope of the line segment is 3/5. Your answer is A) 3/5.

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The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order so area of octagon is 11 + 12√2 square units.

The sides of octagon are 1, 2, 3, 4, 1, 2, 3, 4 as shown in the figure,

The area of the octagon = area of the rectangle - the area of the four right isosceles triangular corners.

A = (lxb) - 1/2[√2×√2 + √8×√8]x2

A = [(3+√2+√8)(1+√2+√8)] -1/2[√2×√2 + √8×√8 + √2×√2 + √8×√8]

A = 3 + 12√2 +7

A = 11 + 12√2

Therefore, The area of the octagon is 11 + 12√2 square units.

A closed two-dimensional shape having eight sides, eight vertices, and eight internal angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon. The next sections also discuss the various octagon types, such as convex and concave octagons.

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Answer:

its 5 cm

Step-by-step explanation:

its what I got off of Khan

The radius of a filled balloon is approximately 5.22 cm.

The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius.

Let's first find the volume of a filled balloon.

Since Terry can fill a balloon in 6 seconds and the faucet puts out 100 cm³ of water per second, the volume of a filled balloon is:

V = 6 × 100 = 600 cm³

Now we can use the formula for the volume of a sphere to find the radius.

Rearranging the formula, we get:

\(r = [\dfrac{3V}{4\pi}]^{(1/3)}\)

Substituting V = 600 cm³, we get:

\(r = [\dfrac{3\times600}{4\pi}]^{(1/3)}\)

r ≈ 5.22 cm

Therefore, the radius of a filled balloon is approximately 5.22 cm.

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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)

Answer:

\(y=8x\)

Step-by-step explanation:

We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:

\(y = mx\)

where \(m\) is the ratio of x to y.

This ratio is also known as the line's slope. We can solve for the slope using the equation:

slope = rise / run

slope = \(\Delta\)y / \(\Delta\)x

slope = 8 / 1

slope = 8

\(m=8\)

So, the equation of the line is:

\(y=mx\)

\(\boxed{y=8x}\)

Answer:B. 35

Step-by-step explanation:

replace x with 10. subtract 3 from 10 and you have 7. Then multiply 5 by 7. you have 35. your welcome.

Answer:

y = 7/4x + 14

Step-by-step explanation:

0 = 7/4(-8) + b

0 = -14 + b

14 = b

y = 7/4x + 14

To estimate the circle problems with areas greater than 15 square units, we need to determine the radius of a circle that would yield an area greater than 15 square units. By taking the square root of the ratio of the desired area to π, we can calculate the exact area of the circled circles using the formula A = πr^2.

To find the exact areas of the circled circles, we will substitute the calculated radii into the area formula. By squaring the estimated radius and multiplying it by π, we can determine the precise areas of the circles. Only the circles with areas greater than 15 square units will be included in this calculation, as per the initial requirement. By using these calculations, we can estimate which circles will have areas greater than 15 square units and then determine the exact areas of only those circled circles using the formula A = πr^2.

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The limit of the given function is  π/2.

What is a limit?

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

Here, we have

Given: \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

We have to find the limit of the given function.

=  \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

Now, we substitute the value of each variable.

x = π and y = π/2

= y sin(x-y)

= π/2sin(π-π/2)

= π/2sinπ/2

= π/2sin(90°)   (∴sin90° = 1)

= π/2×1

= π/2

Hence, the limit of the given function is  π/2.

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

10.5

Step-by-step explanation:

7.5/5=1.5

1.5x7=10.5

Answer:10.5

Step-by-step explanation

7.50 divided by 5 = 1.5

1.5 times 7 = 10.5

Answer:

-7

Step-by-step explanation:

To find this out we just place -3 where x is

f(-3)=4(-3)+5

f(-3)= -12+5

f(-3)= -7

Hopes this helps please mark brainliest

If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57  .

The amount that Uptown bank will lend is = $22200 ,

the rate is = 6.9% ,since it is compounded monthly ,

So , monthly rate is = 6.9%/12 = 0.00575 ,

the time for which the car is financed is = 48 months ,

So , to calculate the monthly payment, we can use the formula:

⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)

Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.

In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.

Substituting these values in monthly payment formula, we get:

⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)

⇒ P ≈ $530.57

Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .

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The given question is incomplete , the complete question is

Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?

(a) $593.60

(b) $549.08

(c) $578.38

(d) $530.57

Answer:

292116.8

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

To find the average you take the sum of the scores and then divide it by the number of exams. Let x equal the score Lucy must obtain on the next math test.

\(\frac{85+64+76+x}{4} =80\)

Add the scores and multiply both sides by 4

225 + x = 320

Subtract 225 from both sides

x = 95

Answer:

The perimeter of the quadrilateral ABCD is 20 units.

As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.

Answer:

x = 2

Step-by-step explanation:

14 + 3x = 2 + 9x

Collect like terms so when positive 2 crosses the equals to sign, it becomes negative 2 and when positive 3x crosses the equals to sign, it becomes negative 3x.

14 - 2 = 9x - 3x

12 = 6x

Divide both sides by the co efficient of x which is 6 so,

12/6 = 6x/6

2 = x

Hope this helps you <3

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Answer:

3/9

the simplified answer is 1/3

Step-by-step explanation:

3 boys / 9 total kids

so its 3/9

3/9 simplified is 1/3

since 3/3 is 1

and 9/3 is 3.

hope that helps :D