Help with math! a, b, c or d? FAST

Basically, everything except choice A.

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

Explanation:

All exponential functions can be written into the form y = a*b^x

The b term determines if we have growth or decay.

If 0 < b < 1, then we have decay. If b > 1, then we have growth.

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For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.

Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.

Choice C has b = 1/3 = 0.33 approximately which is also decay.

Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.

Choices B through D have b values such that 0 < b < 1.

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Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.

I used GeoGebra to make the graph.

First, let's write on a table the information about the snow on the ground for the 11 hours it snowed:

period of time in hours amount of snow in inches

0 1

from 0 to 2 1 + t * 3 (initial amount plus 3 in/h * number of hours)

from 2 to 5 1 + 2*3 = 7 (the same amount as when it stopped raining)

from 5 to 11 7 + (t-5)/2 (amount at t = 5 plus 1 in/2h * number of

hours since hour 5)

Now, using this information on a graph, we obtain:

The volume of the triangular prism = base area x height

Since its base is a right triangle, then

From the figure leg1 = 6 ft and leg2 = 8 ft

Now multiply it by the height of the prism

Since its height = 12 ft, then

The answer is A

Answer:

B. 5.5 batches

Step-by-step explanation:

22 oz / 4 = 5.5

Answer:

x=6

Step-by-step explanation:

(5x+30)+80=140

5x+110=140

5x=30

x=6

answer: B

Much of the power of logarithms is their usefulness in solving exponential equations. Some examples of this include sound (decibel measures), earthquakes , the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity).

An exponential equation is an equation in which a variable occurs in the exponent. For example, y = 5x is an exponential equation since the exponent is the variable x (also said as "5 to the power of x"), while y = x5 is not an exponential equation since the exponent is 5 and not a variable.

The basic logarithmic function is of the form f(x) = logax (r) y = logax, where a > 0. It is the inverse of the exponential function ay = x. Log functions include natural logarithm (ln) or common logarithm (log).

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The system has a unique solution if and only if the determinant of the coefficient matrix is non-zero.

Let k, h be unknown constants and consider the linear system:

x - 6y + 5z = 7;

-3x + 7 y 4 z = -3;

-9x + 10y + hz = k

The determinant of the coefficient matrix for the given system is given by: D = |1 -6 5| |-3 7 4| |-9 10 h|

The determinant of the matrix is given by:

(10h + 36) + 14h - (-54 - 15h) = 29h + 18

The system has a unique solution whenever h≠ 0. If h is 0, then the determinant is 18 and the system may or may not have a solution. Hence, the answer is 0. This system will be consistent for infinitely many values of k. Hence, the correct option is C. Infinitely many values.

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The radius of the cylinder is 10cm

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

A cylinder is a prism and the general formula for the volume of prism is ;

base area × height

A cylinder has a circular base and it's volume bis expressed as;

V = πr²h

volume = 2512

height = 8

Therefore;

2512 = 3.14 × 8 ×r²

2512 = 25.12r²

divide both sides by 25.12

r² = 2512/25.12

r² = 100

r = √100

r = 10 cm

therefore the radius of the cylinder is 10cm

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On a postsynaptic membrane, the opening of K+ ion channel induces an IPSP (Inhibitory Postsynaptic Potential).

The potential changes in a neuron after the receptor and ion channel activation is called synaptic potential. This potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP).EPSP is a depolarizing potential that results from the opening of the Na+ ion channel. It causes a change in the potential of the neuron towards threshold level that may trigger an action potential.Ion channels and pumps in a postsynaptic neuron regulate the internal potential of the cell. In a typical postsynaptic cell, the resting potential (Vrest) is -70 mV, the threshold value is -55 mV, the reversal potential for Cl- ion (Ec) is -63 mV, the reversal potential for K+ ion (Ex) is -90 mV, and the reversal potential for Na+ ion (ENa) is 60 mV.The opening of Cl- ion channel leads to an inward flow of negative ions and thus results in hyperpolarization. The opening of K+ ion channel leads to an outward flow of K+ ions, and the membrane potential becomes more negative. Thus, it also results in hyperpolarization. The opening of a Na+ ion channel leads to inward flow of Na+ ions, which makes the cell more positive, and it is depolarization. Therefore, the opening of K+ ion channel leads to an IPSP, and it hyperpolarizes the neuron.

The postsynaptic potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP). The opening of the K+ ion channel leads to an outward flow of K+ ions, which makes the cell more negative and hyperpolarizes it, leading to IPSP.

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

T/(kV) = P

Step-by-step explanation:

Step 1: Write equation

T = kPV

Step 2: Solve for p

Answer:

  P = T/(kV)

Step-by-step explanation:

Divide by the coefficient of P.

  \(T=kPV\\\\\dfrac{T}{kV}=\dfrac{kPV}{kV}\\\\\dfrac{T}{kV}=P\\\\\boxed{P=\dfrac{T}{kV}}\)

Area of the sector is given by

r = diameter /2 = 10/2 inches = 5 inches

Option A is correct

The average rate of change, in simplest form, is -2/5.

What is average rate ?

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)

Using the coordinate points from the table (0,41) and (15,35)

Substitute the coordinate into the expression:

\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)

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The cylinder that has the greater volume is: cylinder A (326.95 cubic inches).

To calculate the volume of a cylinder, the formula given is expressed as: V = πr²h, where r is the radius of the cylinder and h is the height of the given cylinder.

Find the Volume of Cylinder A:

Radius of cylinder A (r) = 3.5 in.

Height of cylinder A (h) = 8.5 in.

Volume of cylinder A = πr²h = (3.14)(3.5²)(8.5)

Volume of cylinder A = (3.14)(12.25²)(8.5)

Volume of cylinder A = 326.95 cubic inches.

Find the Volume of Cylinder B:

Radius of cylinder B (r) = 2.7 in.

Height of cylinder B (h) = 11 in.

Volume of cylinder B = πr²h = (3.14)(2.7²)(11)

Volume of cylinder B = (3.14)(7.29)(8.5)

Volume of cylinder B = 194.57 cubic inches.

Therefore, the cylinder that has the greater volume is: cylinder A (326.95 cubic inches).

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The conversion of 29,333 CAD at a forward rate of 1.6 is approximately 47,132.8 USD.

Amount left = CAD 29,333Forward rate = 1.6To find:

Amount in some other currency using this forward rateSolution:

Forward rate is used to determine the future exchange rate based on the present exchange rate.

The forward rate is calculated on the basis of the spot rate and the interest rate differential.

The forward rate in foreign exchange markets indicates the exchange rate that will be applicable at a future delivery date.

the Canadian dollar is the domestic currency and we want to find out the amount of some other currency that can be obtained using this forward rate of 1.6.

Using the forward rate,1 CAD = 1.6

Another way of writing this can be:1/1.6 = 0.625So, using this we can calculate the amount in some other currency, Let us assume it to be USD.

The amount in USD will be = CAD 29,333 * 0.625= 18,333.125 USD (approx)

Hence, the amount in USD is 18,333.125 using the given forward rate of 1.6.

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Answer:

i believe it's the first one

Step-by-step explanation:

Dot 1 goes to Dotland

Dot 2 goes to Dotlandia

Dot 3 goes to Dotly World

Dot 4 goes to the Store

Dot 5 goes home like the little pig

Answer:

276 cm²

Step-by-step explanation:

    Construct a line DE  parallel to AB.

DE = 13 cm

So, ABED is a parallelogram

In ΔDEC,

     DE = a = 13 cm

    EC = AB - BE

         = 30 - 16

   EC = b = 14 cm

 DC = c = 15 cm

Use Heron's formula to find the area of triangle.

\(\sf s = \dfrac{a+b+c}{2}\\\\=\dfrac{13+15+14}{2}\\\\=\dfrac{42}{2}\\\\s = 21\)

s-a = 21 - 13 = 8

s - b = 21 - 14 = 7

s - c = 21 - 15 = 6

 \(\sf \boxed{\bf Area \ of \ triangle = \sqrt{s(s-a)(s-b)(s-c)} }\)

                                \(\sf = \sqrt{21 * 8 * 7* 6}\\\\=\sqrt{3 * 7 * 2* 2 * 2 * 7 * 2 * 3}\\\\= 3 * 7 * 2 * 2\\\\= 84 \ cm^2\)

Area of ΔDEC = 84 cm²

\(\sf \dfrac{1}{2}*base * height = 84\\\\ \dfrac{1}{2}*14*height = 84\)

           \(\sf height =\dfrac{84*2}{14}\\\\\)

                     = 6 *2

          height = 12 cm

Now we know the height of the trapezium. h = 12 cm

The length of the parallel sides are a = 30 cm & b =16 cm

\(\sf \boxed{Area \ of \ trapezium = \dfrac{(a +b)*h}{2}}\)

                                \(\sf =\dfrac{(30+16)*12}{2}\\\\=\dfrac{46*12}{2}\\\\= 23 * 12\\\\= 276 \ cm^2\)

u can be written as the sum of two orthogonal vectors:

proj_ v u = (18, 2)and(u - proj_ v u) = (22, 6).

Projection vector is the vector denoted by the dot product of the two vectors divided by the magnitude of the vector to be projected.

Orthogonal vectors are generally perpendicular to each other and their dot product is zero.

The given vectors are:

u = (4, 4) and v = (9, 1).

The projection of u onto v is given by the formula:

proj_v u = \((u.v /\) \(|v|^{2}\)\() v\)

Where, ⋅ denotes the dot product.

So, proj_ v u = \(((4, 4).(9, 1)) / (9^2 + 1^2) (9, 1)= (36, 4) / 82= (18, 2)\)

Hence, the projection of u onto v is (18, 2).

Now, let's write u as the sum of two orthogonal vectors, one of which is proj_ v u.

So, we have:

u = proj_ v u + (u - proj_ v u)= (18, 2) + (4, 4) - (18, 2)= (4, 4) - (-18, -2)= (22,6)

Therefore, u can be written as the sum of two orthogonal vectors:

proj_ v u = (18, 2)and(u - proj_ v u) = (22, 6).

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Answer:

4 or 8, depending on how you interpret the questions

Step-by-step explanation:

In order to break even, they have to sell 4 widgets.  In other words, to make back the $200 they spent on design, they have to sell 4 widgets.  Anything over that is profit.  This assumes the entire $50 selling price goes to profit (no other information was given).

x = number of widgets

50x ≥ 200

x ≥ 4

To make another $200 above the break even, they have to sell 4 more widgets for a total of 8.

The correct value by using calculator to evaluate sin(91°), sin(91°) is approximately 0.99., sin(91°) ≈ 0.99.sec(pi/5), we find that sec(pi/5) is approximately 1.38.Therefore, sec(pi/5) ≈ 1.38.

Evaluating sin(91°):

The sine function (sin) relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. When we input 91° into the sine function, we get sin(91°). Using a calculator, we find that sin(91°) is approximately 0.99, rounded to two decimal places.

Evaluating sec(pi/5):

The secant function (sec) represents the reciprocal of the cosine function. In this case, we have sec(pi/5), which means we need to find the value of the cosine of pi/5 first. The value of pi/5 represents an angle in radians. Using a calculator, we find that cos(pi/5) is approximately 0.81, rounded to two decimal places. Taking the reciprocal of this value, we get 1/cos(pi/5), which is equal to sec(pi/5). Evaluating it using a calculator, we find that sec(pi/5) is approximately 1.38, rounded to two decimal places.Therefore, sin(91°) is approximately 0.99, and sec(pi/5) is approximately 1.38.

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OK !!!!!!!!!!!!!!!!!!!!!

To send the frequency distribution data to Excel, you can follow these steps:

1. Open Excel on your computer.

2. Create a new worksheet or open an existing one where you want to import the data.

3. Label the first column as "Number of Tests Performed" and the second column as "Number of Patients".

4. In the first column, enter the values 0, 1, 2, 3, and 4 or more in separate cells, corresponding to the number of tests performed.

5. In the second column, enter the corresponding values 14, 8, 4, 4, and 2, which represent the number of patients for each category of tests.

6. Select both columns by clicking and dragging over the cells.

7. Go to the "Copy" option in the Excel toolbar or use the Ctrl+C keyboard shortcut to copy the selected data.

8. Switch to the Excel worksheet where you want to paste the data.

9. Select the first cell where you want to paste the data.

10. Right-click on the cell and choose the "Paste" option or use the Ctrl+V keyboard shortcut to paste the data.

Now, the frequency distribution data from the emergency room tests should be successfully transferred to Excel.

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Answer:

0.5*13*15 = 97.5 square units

Step-by-step explanation:

If the diagonals of the rhombus are 13 and 15 then its area is 0.5*13*15 = 97.5 square units

The area of the rhombus is,

A. 97.5 square units

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Rhombus ABCD with the following dimensions:

diagonal 1 (d1) = BD = 15

diagonal 2 (d2) = AC = 13

AB = 9.9

Hence, Area of the rhombus;

Since we know the length of the 2 diagonals, area of the rhombus can be calculated using;

A = 1/2 × d1 × d2

A = 1/2 × 15 × 13

A = 1/2 × 195

A = 97.5 square units

Thus, The area of the rhombus is,

A. 97.5 square units

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Answer:

Option (B) 0.00076

Step-by-step explanation:

Surface area of a sphere = 4πr²

Volume of a sphere = 4π/3 (r³)

Surface area : Volume = 4πr² : 4π/3 (r³)

                                      = r² : 1/3 (r³)

                                      = 3 r² : r³

                                      = 3/r

                                      = 3/3960

                          (AFTER SIMPLIFICATION)

                                      = 0.00076

Hence the answer is option (B) 0.00076

Hope my answer help you ✌️

The correct option is B) 0.00076. The surface-area-to-volume ratio is 0.00076.

To find the approximate surface-area-to-volume ratio of the Earth with a radius of approximately 3,960 miles, we will use the following formulas:

Surface area (A) of a sphere: A = 4πr²
Volume (V) of a sphere: V = (4/3)πr³

Step 1: Calculate the surface area:
A = 4π(3,960)² ≈ 197,392,088 square miles

Step 2: Calculate the volume:
V = (4/3)π(3,960)³ ≈ 260,625,332,197 cubic miles

Step 3: Calculate the surface-area-to-volume ratio (A/V):
A/V ≈ 197,392,088 / 260,625,332,197 ≈ 0.000757

The best answer from the choices provided is B. 0.00076.

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Answer:

3x-9

Step-by-step explanation:

4x-9 = bill

x = nancy

4x-9+x = total

i stG

go home

take a nap

highly recommend

quit math class

drop out of school

gn boo

Answer:

B and D if not sorry

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

1) 4/10

2) 2/8 and 4/16

3) $13,592

4) 216 cards

5) 6 stickers

6) Subtract 2 then add 3

Step-by-step explanation:

1) Since the fraction is already reduced, multiply top and bottom by a positive integer bigger than 1

2) Same as number 1

3) Multiply 1,699 by 8, 1699*8=13592

4) Multiply 18 by 12, 18*12=216

5) Find the remainder after dividing 41 by 7

6) 8 subtract 2 is 6, add 3 is 9, subtract 2 is 7, add 3 is 10, and so on…