Lily has
x
x nickels and
y
y dimes. She has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.

Answer:

\(x=\frac{-3c-v}{a-3};\quad \:a\ne \:3\)

Step-by-step explanation:

--expand--

ax+v=3x-3c

--subtract v from each side--

ax+v-v=3x-3c-v

--simplfy--

ax=3x-3c-v

--subtract 3x from both side--

ax-3x=3x-3c-v-3x

--simplfiy--

--factor--(factor out the x from ax-3)

\(x\left(a-3\right)=-3c-v\)

\(\frac{x\left(a-3\right)}{a-3}=-\frac{3c}{a-3}-\frac{v}{a-3};\quad \:a\ne \:3\)

\(x=\frac{-3c-v}{a-3};\quad \:a\ne \:3\)

<3

Red

Answer:

x=13/4

Step-by-step explanation:

4x+5=18....collect like terms

4x=18-5

4x=13

x=13/4 or 3.25

Answer:

1/4

Step-by-step explanation:

-2 2/5 + 3 1/4 - 3/5

-12/5 + 13/4 - 3/5 =

1/4

We may deduce from the contour map that the estimates of the given functions are;

fx(2, 1) = 10

fy(2, 1) = 3

The geographic mapping used as a form of activism against prevailing power systems is known as counter-mapping.

Contour lines are described as the faint lines drawn on a map that link places of equal height above sea level. This indicates that even if you followed a contour line physically, the elevation (height of the land) would stay constant.

According to the contour map, the contour lines indicate that the coordinate (2, 1) in the x-direction has a value of 10.

Therefore;   fx(2, 1) = 10

Using the same idea, we can deduce from the attached contour map that the coordinate (2, 1) in the y-direction will have a value between 0 and 6. Therefore;

Average = (0 + 6) divided by 2 = 3

Thus;   fy(2, 1) = 3

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Answer: Mean  is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.

Step-by-step explanation:

Answer:

If you don't agree or there's an error, let me know so I can edit.

Step-by-step explanation:

f(x) = x⁴ + 2

differentiate

f(x) = 4x³ + 0 =0

x(4x²) = 0

at x= 0 f(x) = 0 points = (0,0)

at x= 1. f(x) = 3 points = (4,3)......

The ordered pair is (4,3).

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given:

f(x) = x⁴ + 2

Now, differentiate the above function for the small values

f(x) = 4x³ + 0 =0

x(4x²) = 0

When x= 0

f(x) = 0

So, the points = (0,0)

when x= 1

f(x) = 3

so, the points = (4,3).

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The amount that Aaliyah will pay for monthly payment for the computer is 43.21.

From the information, it should be noted that Aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments.

Therefore, the following can be deduced:

Total amount = 382.68

Amount saved = 37.00

Let the monthly payment be represented as x. Therefore, the equation will be:

37 + (8 × x) = 382.68

37 + 8x = 382.68

Collect like terms

8x = 382.68 - 37

8x = 345.68

Divide

x = 345.68 / 8

x = 43.21

The monthly payment is 43.21

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The coordinates of the vertices of LAMB are A(7,6), M(-1,7), B(-2,-5), and L(6,-6).

To find the coordinates of the vertices of LAMB, we need to reflect the vertices of FRIO over the y-axis.

First, we can reflect the x-coordinates of the vertices of FRIO over the y-axis to get the x-coordinates of the vertices of LAMB. This means that the x-coordinates of the vertices of LAMB will be the opposite of the x-coordinates of the vertices of FRIO.

For example, the x-coordinate of vertex F in FRIO is -7, so the x-coordinate of the corresponding vertex in LAMB will be 7.

Similarly, the x-coordinate of vertex R in FRIO is 1, so the x-coordinate of the corresponding vertex in LAMB will be -1.

The x-coordinate of vertex I in FRIO is 2, so the x-coordinate of the corresponding vertex in LAMB will be -2.

Finally, the x-coordinate of vertex O in FRIO is -6, so the x-coordinate of the corresponding vertex in quadrilateral LAMB will be 6.

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Correlation is the measurement of the association between two variables. The following statements are true about correlation:1) It describes the strength of any relation between two variables:This statement is correct since correlation tells us about the degree of the relationship between two variables.2) It always takes on values between 0 and 1:

This statement is incorrect. Correlation coefficients can range from -1 to +1, not just 0 to 1.3) It quantifies the strength of the linear relationship between two variables:This statement is correct. Correlation measures the degree to which two variables are linearly related.4) It always takes on values between −1 and 1:This statement is correct. Correlation coefficients can range from -1 to +1.5) Both c and d: This statement is correct since both statements C and D are correct.

Correlation coefficients measure the strength of the linear relationship between two variables, with values ranging from -1 to +1, where negative correlations indicate a negative association between two variables, positive correlations indicate a positive association between two variables and the value of zero represents no association between two variables.

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Answer:

neither

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{85}{23}\) x - 99 ← is in slope- intercept form

with slope m = \(\frac{85}{23}\)

Parallel lines have equal slopes

slope of line b = \(\frac{4}{85}\) ≠ \(\frac{85}{23}\) ← lines are not parallel

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{85}{23} }\) = - \(\frac{23}{85}\) ≠ \(\frac{4}{85}\) ← lines are not perpendicular

Thus lines a and b are neither parallel nor perpendicular

Answer:

A negative correlation means one variable decreases as the other increases.

Answer :

55°

Detailed explanation:

The triangles are isosceles (having two sides of equal length and angle).

Hence solve for angle DCE

Angle DCE= 180°-(55°+55°)

=70°

As vertically opposite angles are equal. Thus,

angle ACB=70°.

Hence 180°-70°=110°

As the angles in an isosceles triangle are equal hence;

110°÷2=55°

Hence angle ABC is 55°

Hope this is has been clearly explained!

The measure of angle ABC from the given figure is 55 degree. Therefore, the correct answer is option A.

From the given figure, we have two isosceles triangles DCE and ABC.

In ΔDCE,

Base angle is ∠CED=55°.

Here, base angles are equal

That is, ∠CED=∠CED=55°

By using angle sum property of a triangle, we get

∠DCE=180°-(55°+55°)

∠DCE=70°

Now, ∠DCE and ∠ACB are vertically opposite angles are equal.

So, ∠DCE =∠ACB=70°

In ΔABC, base angles BAC and ABC are equal

So, ∠BAC+∠ABC+∠ACB=180°

∠ABC+∠ABC+70°=180°

2∠ABC=110°

∠ABC=55°

Therefore, the correct answer is option A.

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if you want math answer do check in an app called doubhtnut it is very helpful..

Answer:

A is correct.

Step-by-step explanation:

Answer:

The bank offering simple interest at rate of 3% for four years

Step-by-step explanation:

Hello,

To find out which deal would be better, we have to find how much accrued on the simple and compound interest.

Data;

Principal (P) = $7,000

Time = 4 years

Simple interest rate = 3%

S.I = PRT / 100

S.I = (7000 × 3 × 4) / 100

S.I = $840

In four years, he would have $7000 + $840 = $7840.

For compound interest,

C.I = P(1 + r/n)^nt

Where n = number of time compounded = 1 (since it's annually)

rate = 2.5% = 2.5/ 100 = 0.025

C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾

C.I = 7000 (1 + 0.025)⁴

C.I = 7000×(1.025)⁴

C.I = 7000 × 1.1038

C.I = $7726.6

In four years he would have $7,726.6

After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years

The distance from the Moon to the Earth varies due to the elliptical shape of the Moon's orbit around the Earth. On average, the distance from the Moon to the Earth is about 238,855 miles (384,400 kilometers).

However, the distance can vary from about 252,088 miles (405,696 kilometers) at the closest point (known as perigee) to about 225,623 miles (363,104 kilometers) at the farthest point (known as apogee).

The Moon orbits the Earth in an elliptical shape, rather than a perfect circle. This means that the distance between the Moon and the Earth varies over time. The average distance from the center of the Earth to the center of the Moon is approximately 238,855 miles (384,400 kilometers).

At its closest point, known as perigee, the Moon is about 252,088 miles (405,696 kilometers) from Earth. This occurs when the Moon is on the side of its orbit closest to the Earth. At its farthest point, known as apogee, the Moon is about 225,623 miles (363,104 kilometers) from Earth. This occurs when the Moon is on the side of its orbit farthest from the Earth.

The distance between the Moon and the Earth is important for many reasons, including determining the strength of the Moon's gravitational pull on Earth, the tides on Earth, and the possibility of future human exploration of the Moon.

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Answer:

x = 34

Step-by-step explanation:

Using Pythagorean Theorem ,

\( {x}^{2} = {16}^{2} + {30}^{2} \)

\( = > {x}^{2} = 256 + 900 = 1156\)

\(x = \sqrt{1156} = 34\)

Yes. All the side lengths of the triangle form a Pythagorean Triplet.

Answer:

X=34

Step-by-step explanation:

x^2=30^2+16^2

x^2=900+256

x^2=1156

take the square root of both sides

X=√1156

X=34

This question is incomplete

Complete Question

The weight of an organ in adult males has a bell shaped distribution with a mean of 320 grams and a standard deviation of 20 grams. Use the empirical rule to determine the following. A.) About 68% of organs will be between what weights? B.) what percentage of organs weighs between 280 grams and 360 grams? C.) what percentage of organs weighs less than 280 grams or more than 360 grams? D.) what percentage of organs weighs between 300 grams and 360 grams?

Answer:

A.) About 68% of organs will be between what weights?

Therefore, 68% of the organs will weigh between 300 and 340 grams.

B.) what percentage of organs weighs between 280 grams and 360 grams?

95%

C.) what percentage of organs weighs less than 280 grams or more than 360 grams?

5%

D.) what percentage of organs weighs between 300 grams and 360 grams?

81.5%

Step-by-step explanation:

Empirical formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Where:

μ = Population mean

σ = Population standard deviation

From the above question, we have the following information

Mean weight = 320 grams

Standard deviation = 20 grams

a) About 68% of organs weight between:

To solve for this, we would use the empirical rule:

68% of the data values lie within 1 standard deviation of the mean

Hence, 68% of the data values lie in the range:

Mean - 1 standard deviation to Mean + 1 Standard Deviation.

Mean - 1 Standard Deviation

μ - σ

= 320grams - 20grams = 300 grams

Mean + 1 Standard Deviation

μ + σ

= 320grams + 20grams = 340 grams

Therefore, 68% of the organs will weigh between 300 and 340 grams.

B.) what percentage of organs weighs between 280 grams and 360 grams?

Mean weight = 320 grams

Standard deviation = 20 grams

Hence,

x - mean = 280 grams - 320 grams = -40 grams

x - mean = 360 grams - 320 grams = 40 grams

Note that both differences = 2 × standard deviation

Hence, from the empirical formula above,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies

Therefore, 95% of the organs fall between 280 grams and 320 grams

C.) what percentage of organs weighs less than 280 grams or more than 360 grams?

Mean weight = 320 grams

Standard deviation = 20 grams

Hence,

x - mean = 280 grams - 320 grams = -40 grams

x - mean = 360 grams - 320 grams = 40 grams

So, from the empirical formula above,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies

Therefore, 95% of the organs fall between 280 grams and 320 grams

It is important to note that finding the percentage of data that weighs less than or more than the given range of values, the formula is given as:

Percentage of Value outside( less than or more than) the range = 100% - Percentage of values within the range

100% - 95%

= 5%

Therefore, the percentage of organs weighs less than 280 grams or more than 360 grams is 5%

D.) what percentage of organs weighs between 300 grams and 360 grams?

Mean weight = 320 grams

Standard deviation = 20 grams

Hence,

x - mean = 300 grams - 320 grams = -20 grams

20 grams = 1 × standard deviation

For 300 grams, the empirical formula that states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ applies.

It is important to note that the percentage of values below the mean and above the mean must be the same.

But since this is a bell shaped distribution, the percentage of data between 300 and 320 grams = 68%/2

= 34%

x - mean = 360 grams - 320 grams = 40 grams

40 = 2 × standard deviation

For 360 grams , the empirical formula that states that,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies

It is important to note that the percentage of values below the mean and above the mean must be the same.

Since this is a bell shaped distribution, the percentage between 320 and 360grams = 95%/2

= 47.5%

Therefore, the percentage of organs that weighs between 300 grams - 360 grams = 34% + 47.5%

= 81.5%

Answer:

You forgot to send the question. Send the full question when you can

Answer:

C.

Step-by-step explanation:

The drawing style is from Egypt

Answer:

yes 1.57 is a rational number you could write it as 1 & 57/100 or 157/1000

The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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The lengths of the diagonals are approximately 10.6 cm and 31.8 cm.

To solve this problem, we can use the formula for the area of a rhombus, which is A = (d₁ x d₂)/2, where A is the area, and d₁ and d₂ are the lengths of the diagonals.

We are given that the area of the rhombus is 168 square centimeters, so we can substitute this value into the formula:

=> 168 = (d₁ x d₂)/2.

We are also given that one diagonal is three times as long as the other, so we can express the length of one diagonal in terms of the other: d₁ = 3d₂.

Substituting this expression for d₁ into the formula for the area, we get:

168 = (3d₂xd₂)/2 336 = 3d₂²2 d₂² = 112 d₂ = √(112) = 10.6 (to the nearest tenth of a centimeter)

Using the expression for d₁ in terms of d₂, we can find the length of the other diagonal:

d₁ = 3d₂ = 3(10.6) = 31.8 (to the nearest tenth of a centimeter)

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Given:

Quadrilateral WXYZ has 4 vertices:

W(1, 1), X(1,4), Y(2,3), and Z(2,2).

There are two transformations:

Translation: (x,y) = (x-2, y-1)

Dilation: (x,y) = (3x,3y)

To find:

We need to identify the coordinates after the transformation:

Step-by-step solution:

1) After the first transformation:

(x,y) = (x-2, y-1)

W(1, 1) = (-1, 0)

X(1,4) = (-1, 3)

Y(2,3) = (0, 2)

Z(2,2) = (0, 1)

2) After the Second transformation:

(x,y) = (3x,3y)

W(1, 1) = (3, 3)

X(1,4) = (3, 12)

Y(2,3) = (6, 9)

Z(2,2) = (6, 6)

Here we have finally classified all the different points into different categories.

Answer:

b

Step-by-step explanation:

im pretty sure

The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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The probability of different ways in which members of the cabinet be appointed is 330

Probability is a measure of the possibility of an event occurring.

The likelihood could range from 0 to 1, , where 0 indicates an impossibility and 1 indicates a certainty. Probability is the ratio of possible outcomes to the total outcomes.

Probability = Possible outcomes/total outcomes

The different ways can the members of the cabinet be appointed is given by:

P = ¹¹C₄

P = (11*10*9*8) / (4*3*2*1)

P =330 ways

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