help me plss ineed your answer.​

Only table 1 represents the directly proportional relationship.

Given are the tables representing proportional relationship.

We can write the slope as -

{m} = (- 4 + 3)/(- 2 + 1) = 1

The equation will be -

y = x

Remaining tables does not show the direct variation.

Refer to the graph attached.

Therefore, only table 1 represents the directly proportional relationship.

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

3

Step-by-step explanation:

2 -3 = -1 + 4 = 3

The coordinates of the other 3​ vertice s are; Vertex 2 =  (0.5​, 2.5)

Vertex 3 =  (2, 1), Vertex 4 =(2, 2.5 )

Its the sum of length of the sides used to made the given figure.

Given that the Perimeter, P = 6 units

The Perimeter of a square = 4s ; s = side length

6 = 4s

s = 6/4

s = 1.5 units

If Vertex 1 =(0.5​,1​) and all vertexes are located in Quadrant​ I

Vertex 2 = (0.5​,1 + 1.5​) =(0.5​, 2.5)

Vertex 3 = (0.5 + 1.5 ​,1​) = (2, 1)

Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )

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Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

\(35.36,44.64\)

Step-by-step explanation:

Sample size \(n=40\)

Mean weight \(\=x =67\)

Standard deviation \(\sigma=11.4\)

Confidence Interval \(CI=0.99\)

\alpha==0.01

Therefore

\(Z_{\frac{\alpha}{2}}=Z_[0.005]\)

From table

\(Z_{\frac{\alpha}{2}}=2.576\)

Generally, the equation for Margin of error is mathematically given by

\(M.E=Z_{\frac{\alpha}{2}}*(\frac{\sigma}{sqrt{n}}\)

\(M.E=2.576*(\frac{11.4}{\sqrt{40}}\)

\(M.E=4.64\)

Therefore Estimated mean is

\(\=x-M.E<\mu <\=x +E\)

\(40-4.64<\mu< 40+4.64\)

\(35.36<\mu < 44.64\)

\(35.36,44.64\)

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.

The step in which Johnetta made her error include the following: A. step 1.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Based on the information provided above, the division can be calculated as follows;

Fraction = (-5/8) ÷ (-3/4)

Fraction = -5/8 × (-4/3)

Fraction = -20/24

For Johnetta, we have:

Fraction = 7/9 ÷ 3/8

Fraction = 7/9 × 8/3

Fraction = 56/27

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Using an exponential function, it is found that if the original statement is true, \(3.52 \times 10^{15}\) children were killed by guns in 1995.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem:

Then:

\(A(t) = A(0)(1 + r)^t\)

\(A(t) = 100(1 + 1)^t\)

\(A(t) = 100(2)^t\)

1995 is 45 years after 1950, hence:

\(A(45) = 100(2)^{45} = 3.52 \times 10^{15}\)

If the original statement is true, \(3.52 \times 10^{15}\) children were killed by guns in 1995.

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Answer:

Step-by-step explanation:

The question is not complete, as the information, your best friend in Europe about the temperature over there is missing, nevertheless, we can proceed with this problem by plugging in an assumed temperature.

The expression for conversion from degrees F to degrees  C is given as

T(°C) = (T(°F) - 32) × 5/9

Now say temperature your friend e-mailed you is 68 degrees Fahrenheit (you can as well plug in your own value)

T(°C) = (68°F - 32) × 5/9

T(°C) = (36) × 5/9

T(°C) = 180/9 = 20 °C

T(°C)  = 20 °C

3172.97 joules is the value of x when the Richter scale rating is 3.2

The equation that relates earthquake magnitude (M) and energy (E) is:

M = 2/3 × log(E) - 1.8

We have to find the value of X when the richer scale rating is 3.1

If an earthquake with a rating of 3.2 is not usually felt, then we can assume that x corresponds to the energy released by an earthquake that is just barely felt.

According to the United States Geological Survey, an earthquake with a magnitude of 2.5 corresponds to an energy release of about 1.3 × 10⁸ joules.

Using this as a reference point, we can set up the following equation:

3.2 = 2/3 × log(x) - 1.8

Solving for x, we get:

2.3 = 2/3 × log(x)

log(x) = 3.45

x = 3172.97

Therefore, the value of x when the Richter scale rating is 3.2 is approximately 3172.97 joules.

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Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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The line PQ of the triangle is an altitude. The correct option is A.

A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry.

The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude is the point at where, the extended base and the height converge.

In the given triangle the line segment PQ is passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry.

Therefore, the line PQ of the triangle is an altitude. The correct option is A.

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Answer:

AC= 20

Step-by-step explanation:

since the two figures are similar, CB Is congruent to FD

since image/preimage, 12/3 =4

The dilation is 4.

AC is congruent to EF

EF=5

4 x 5 = 20

AC=20

someone correct me if im wrong :)

Answer:

The second choice

40

Step-by-step explanation:

All the ratos are 10:1

20/2 = 10/1 ==> 10:1

80/8 = 10/1 ==> 10:1

120/12 =10/1 => 10:1

For a 40 serving size the ratio is
40/6 = 20/3 not equal to  10/1

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer: $2.21

Step-by-step explanation:

To calculate the cost per pound of mushrooms, we need to use the yield factor given in the question. The yield factor tells us the percentage of the total weight of the mushrooms that can be used for cooking or sale. Here, the yield factor is 90%, which means that 90% of the weight of the mushrooms can be used. Let's begin with the calculation:

First, we need to find out how much of the weight of the mushrooms is usable: 90% of 15 pounds = 0.9 x 15 = 13.5 pounds

Now, we can find out the cost per pound of the mushrooms:

Cost per pound = Total cost / Total usable weight

Total cost = $29.85

Total usable weight = 13.5 pounds

Therefore, the cost per pound of mushrooms = $29.85 / 13.5 pounds ≈ $2.21 per pound

Therefore, the cost per pound of mushrooms is $2.21 per pound.

Answer:

30 miles

Step-by-step explanation:

there is three miles per day so u count by 3 up to ten days and you’ll get 30 (10,30) option c

Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.

Generally, Let's call the number of marshmallows that Kimberly had at first X.

We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.

After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.

We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so

(X - 15) = 3 * (X/2 - 15).

(X - 15) - 3 * (X/2 - 15) = 0

Then, we can simplify the left side of the equation:

X - 15 - 3 * X/2 + 45 = 0

Combining like terms, we get:

-3 * X/2 + X - 15 + 45 = 0

Simplifying further:

-X/2 =-30

X = 60

Therefore, Kimberly had 60 marshmallows at first.

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Answer:

y(x) = -1/(x^2 + c_1 x)

Step-by-step explanation:

Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:

Divide both sides by -y(x)^2:

-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x

Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:

( dv(x))/( dx) - v(x)/x = -x

Let μ(x) = e^( integral-1/x dx) = 1/x.

Multiply both sides by μ(x):

(( dv(x))/( dx))/x - v(x)/x^2 = -1

Substitute -1/x^2 = d/( dx)(1/x):

(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1

Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:

d/( dx)(v(x)/x) = -1

Integrate both sides with respect to x:

integral d/( dx)(v(x)/x) dx = integral-1 dx

Evaluate the integrals:

v(x)/x = -x + c_1, where c_1 is an arbitrary constant.

Divide both sides by μ(x) = 1/x:

v(x) = x (-x + c_1)

Solve for y(x):

y(x) = 1/v(x) = -1/(x^2 - c_1 x)

Simplify the arbitrary constants:

Answer: y(x) = -1/(x^2 + c_1 x)

The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items

This refers to the depiction of the number of times in which an event occurs in the form of a table.

Hence, when a two-way frequency table is used, it shows the visual representation of the possible relationship between different sets of data.

Please note that your question is incomplete as you did not provide the frequency table needed and also the trends and generalizations to find, so a general overview was given.

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Answer:

The relative frequency table shows a trend that a majority of people prefer coffee over tea: the ratio in the total row for coffee is 0.65 and just 0.35 for tea. Similarly, more people are night owls than early birds: the total column for night owl is 0.6, but the early bird column is only 0.4.

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer:

Shade 6

Step-by-step explanation:

There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.

Answer:

To find the equation of the line containing the segment DE, we can use the coordinates of D and E to find the slope:

slope = (change in y) / (change in x) = (0 - 3) / (4 - 2) = -3/2

We can use the point-slope form of the equation of a line, using either D or E as the point:

y - 3 = (-3/2)(x - 2)

Simplifying this equation, we get:

y = (-3/2)x + 6

Similarly, to find the equation of the line containing the segment EF, we can find the slope using the coordinates of E and F:

slope = (change in y) / (change in x) = (-2 - 0) / (1 - 4) = 2/3

Using either E or F as the point, we can write the equation in point-slope form:

y - 0 = (2/3)(x - 4)

Simplifying, we get:

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

To find the equation of the line containing the segment TV, we can find the slope using the coordinates of T and V:

slope = (change in y) / (change in x) = (0 - 3) / (-2 - 0) = 3/2

Using either T or V as the point, we can write the equation in point-slope form:

y - 3 = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x + 3

Finally, to find the equation of the line containing the segment VW, we can find the slope using the coordinates of V and W:

slope = (change in y) / (change in x) = (-2 - 0) / (1 - (-2)) = -2/3

Using either V or W as the point, we can write the equation in point-slope form:

y - 0 = (-2/3)(x - (-2))

Simplifying, we get:

y = (-2/3)x + (4/3)

Answer:

are reflection across the y-axis and translation 2 units right.

Step-by-step explanation:

Bola will be 8 years old.

Let Bola's age be x

Dada's age be y

Ayo's age be z

If the sum of ages of Bola, Dada, and Ayo is 32 years, then;

x + y + z = 32

If they share a sum of money in the ratio of their ages, then the ratio of their ages will be x: y: z

Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:

T = 400 + 400 + 800

T = N1600

Next is to get the age of Bola

\(\frac{age \ of \ bola}{32}* Total \ amount \ shared = Bola's \ Share\)

Substitute the required variables and values into the formula;

\(\frac{x}{32}*1600= 400\\50x=400\\x=\frac{400}{50}\\x=8\)

This shows that Bola is 8 years old

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Check the picture below.

so the hexagonal prism is really just a hexagon with six 8x27 rectangles, let's simply get the area of all and sum them up.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} p=perimeter\\ a=apothem\\[-0.5em] \hrulefill\\ p=\stackrel{8\times 6}{48}\\ a=6.9 \end{cases}\implies A=\cfrac{1}{2}(6.9)(48)\implies A=165.6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{six rectangles} }{(6)(8)(27)}~~ + ~~\stackrel{ \textit{hexgonal face} }{165.6}}\implies 1296+165.6\implies \text{\LARGE 1461.6}~in^2\)