WHY CAN'T ANYONE HELP ME :( Solve the formula for the specified variable. tex]D=\frac{1}{4}fk for f.

Answer:

x = 1

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5x =4x+1

Move all terms containing x to the left side of the equation.

Hope this can help you

Answer:

The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.

The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.

Answer:

[tex]\boxed{\sf A}[/tex]

Step-by-step explanation:

The first statement is incorrect. The angle B is not equal to theta θ. The two acute angles in the right triangle can be different, if the triangle was an isosceles right triangle then angle B would be equal to theta θ.

Answer: The second choice

Step-by-step explanation:

Absolute value is the distance a number is from 0 on the number line.  Thus, the absolute value of -8 is 8, which is greater than the absolute value of -6, or 6.

Hope it helps <3

Answer:

Step-by-step explanation:

the second option, |-6| < |-8|.

Answer:

The null hypothesis is ;

H0 ≥ 12

While the alternative hypothesis H1 is ;

H1 < 12

Step-by-step explanation:

Here, we want to correctly identify the null hypothesis H0 and the alternative hypothesis H1

The null hypothesis is as follows ;

H0 ≥ 12

While the alternative hypothesis H1 is ;

H1 < 12

Answer:

7

Step-by-step explanation:

Take the amount of money and divide by the cost per fish

46/6 =7 with 4 dollars remaining

She can buy 7 goldfish

Answer:

7

Step-by-step explanation:

7 x 6 = 42

Answer:

2.321428571%

Step-by-step explanation:

Given in the question,

P=$350

T=4years

I=$32.50

We know that

I=PTR/100

32.50=350*4*R/100

R=32.50*100/350*4

R=2.321428571%

So, the rate of interest is 2.321428571%

Answer:

Step-by-step explanation:

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}\\m=6[/tex]

Answer:

[tex]\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}[/tex]

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Sqaure A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

The length of one side of the hot tub is 4.8 feet and this can be determined by using the concept of dilation.

Given :

The following steps can be used in order to determine the length of one side of the hot tub:

Step 1 - According to the given data, the dilation factor is 5.

Step 2 - So, after the dilation by a factor of 'a' the length of the side be 'b' becomes 'ab'.

Step 3 - So, according to the given data, the length of B prime C prime is 24 feet. Therefore, after the dilation by a factor of 5, the length of the segment BC becomes:

[tex]\rm =\dfrac{24}{5}=4.8\;feet[/tex]

So, the length of one side of the hot tub is 4.8 feet. Therefore, the correct option is b).

For more information, refer to the link given below:

https://brainly.com/question/2856466

Answer: 3/50

Step-by-step explanation:

0.06 = 6/100 , 100 would be the denominator because we have two figures after the decimal point. Each figures can also be represented by 10,

Again,

0.06 = 6 × 10-²

Now 0.06 = 6/100

= 3/50.

Therefore, the fractional form = 3/50 in its lowest term.

Answer:

Empirical Rule

Step-by-step explanation:

The Empirical Rule is also known as the Sigma rule or the 68-95-99.7% rule. The rule state that for a given data set, 68% of all data values will fall within the first standard deviation from the mean. The rule also states that 95% of all data values would fall within two standard deviations, while almost all the data which amounts to about 99.7% will fall within three standard deviations.

The empirical rule is used in forecasting based on the given datasets because it is a certainty that after obtaining the standard deviation, data values can be assigned to the categories they fall into, under the Empirical rule.

Answer:

2/3

Step-by-step explanation:

The equation for direct variation is: y = kx, where k is a constant.

Here, we see that y varies directly with x when y = 6 and x = 72, so let's plug these values into the formula to find k:

y = kx

6 = k * 72

k = 6/72 = 1/12

So, k = 1/12. Now our formula is y = (1/12)x. Plug in 8 for x to find y:

y = (1/12)x

y = (1/12) * 8 = 8/12 = 2/3

Thus, y = 2/3.

~ an aesthetics lover

Answer:

Step-by-step explanation: I hope i'm right

[tex]y \alpha x\\y=kx....(1)\\6=72k\\\frac{6}{72} =\frac{72k}{72} \\\\1/12 =k\\y = 1/12x=relationship-between;x-and;y\\x =8 , y =?\\y = \frac{8}{12} \\Cross-Multiply\\12y =8\\12y/12 = 8/12\\\\y = 2/3[/tex]

Answer:

Step-by-step explanation:

Given the Revenue in dollars modelled by the function R(x) = 60x-0.5x²

Cost in dollars C(x) = 3x+5

Profit function = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 60x-0.5x²-(3x+5)

P(x) = 60x-0.5x²-3x-5

P(x) = -0.5x²+57x-5

The rate of change of total revenue = dR(x)/dt

dR(x)/dt = dR(x)/dx * dx/dt

dR(x)/dx = 60-2(0.5)x²⁻¹

dR(x)/dx = 60-x

Given x = 40 and dr/dx = 15 units per day

dR(x)/dt = (60-x)dx/dt

dR(x)/dt = (60-40)*15

dR(x)/dt = 20*15

dR(x)/dt = 300dollars

Rate of change of revenue = 300dollars

For the rate of change of cost;

dC(x)/dt = dC(x)/dx * dx/dt

dC(x)/dt = 3dx/dt

dC(x)/dt when dx/dt = 15 will give;

dC(x)/dt = 3*15

dC(x)/dt = 45 dollars.

Rate of change of revenue  = 45dollars

For the profit;

Profit = Rate of change of revenue -  rate of change of cost

Profit made = 300-45

profit made = 255 dollars

Answer:

Answer:

The  probability is  [tex]P(J|B) = 0.36[/tex]

Step-by-step explanation:

B =business

J=jumbo

Or =ordinary

From the question we are told that  

     The proportion of the passenger on business in the ordinary jet  is [tex]P(B| Or) = 0.25[/tex]

     The proportion of the passenger on business in the jumbo jet  is  [tex]P(B|J) = 0.30[/tex]

     The  proportion of the passenger on jumbo jets is  [tex]P(j) = 0.40[/tex]

      The   proportion of the passenger on ordinary jets is evaluated as

         [tex]1 - P(J) = 1- 0.40 = 0.60[/tex]

According to  Bayer's theorem the probability a randomly chosen business customer flying with Global is on a jumbo jet is mathematically represented as

        [tex]P(J|B) = \frac{P(J) * P(B|J)}{P(J ) * P(B|J) + P(Or ) * P(B|Or)}[/tex]

substituting values

         [tex]P(J|B) = \frac{ 0.4 * 0.25}{0.4 * 0.25 + 0.6 * 0.3}[/tex]

         [tex]P(J|B) = 0.36[/tex]

Step-by-step explanation:

Answer:

When a coin is tossed, we have possibilities of a head, a tail, a head-head, a tail-tail, a head-tail, a tail-head. Similarly, question ratio can be in 1/4, 1/2, 1

Step-by-step explanation:

Ratio of obtaining a head is 0.5 ≡ 50%

Ratio of obtaining a tail is 0.5 ≡ 50%

Ratio of obtaining a head or tail is 0.25 ≡ 25%

Ratio of obtaining a tail or head is 0.25 ≡ 25%

Ratio of obtaining a head is 0.5 ≡ 50%

Ratio of obtaining a tail is 0.5 ≡ 50%

Ratio of obtaining a head or tail is 0.25 ≡ 25%

Ratio of obtaining a tail and head is 0.0625=6.25%

Ratio of obtaining a head and tail is 0.0625=6.25%

Similarly, question ratio can be in 1/4, 1/2, 1

Answer:

(-4) will be the smallest value.

Step-by-step explanation:

Two functions have been given in this question,

f(x) = [tex]\sqrt{6x}[/tex] and g(x) = x + 4

Then the composite function (fog)(x) will be,

(fog)(x) = f[g(x)]

f[g(x)] = [tex]\sqrt{6(x+4)}[/tex]

Since this function is defined for (x + 4) ≥ 0

(x + 4) - 4 ≥ 0 - 4

x ≥ -4

Domain of this function : [-4 ∞)

Therefore, the smallest number in the domain or smallest value for 'x' should be (-4).

Answer:

[tex]\boxed{x^2+y^2 = 49}[/tex]

Step-by-step explanation:

First, we'll find the length of the radius using distance formula and the coordinates (0,0) and (7,0)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

R = [tex]\sqrt{(7-0)^2+(0-0)^2}[/tex]

R = [tex]\sqrt{7^2}[/tex]

Radius = 7 units

Now, Equation of circle:

[tex](x-a)^2+(y-b)^2 = R^2[/tex]

Where (a,b) = (0,0) So, a = 0, b = 0 and R = 7 units

=> [tex](x-0)^2+(y-0)^2 = (7)^2[/tex]

=> [tex]x^2+y^2 = 49[/tex]

This is the required equation of the circle.

Answer:

x^2 + y^2 = 49

Step-by-step explanation:

We can write the equation of a circle as

( x-h) ^2 + ( y-k) ^2 = r^2

where ( h,k) is the center and r is the radius

The radius is the distance from the center to a point on the circle

(0,0) to (7,0) is 7 units

so the the radius is 7

( x-0) ^2 + ( y-0) ^2 = 7^2

x^2 + y^2 = 49

Answer:

The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.

Step-by-step explanation:

Vectorially speaking, let assume that ship A is located at the origin and the relative distance of ship B with regard to ship A at noon is:

[tex]\vec r_{B/A} = \vec r_{B} - \vec r_{A}[/tex]

Where [tex]\vec r_{A}[/tex] and [tex]\vec r_{B}[/tex] are the distances of ships A and B with respect to origin.

By supposing that both ships are travelling at constant speed. The equations of absolute position are described below:

[tex]\vec r_{A} = \left[\left(40\,\frac{km}{h} \right)\cdot t\right]\cdot i[/tex]

[tex]\vec r_{B} = \left(170\,km\right)\cdot i +\left[\left(15\,\frac{km}{h} \right)\cdot t\right]\cdot j[/tex]

Then,

[tex]\vec r_{B/A} = (170\,km)\cdot i +\left[\left(15\,\frac{km}{h} \right)\cdot t\right]\cdot j-\left[\left(40\,\frac{km}{h} \right)\cdot t\right]\cdot i[/tex]

[tex]\vec r_{B/A} = \left[170\,km-\left(40\,\frac{km}{h} \right)\cdot t\right]\cdot i +\left[\left(15\,\frac{km}{h} \right)\cdot t\right]\cdot j[/tex]

The rate of change of the distance between the ship is constructed by deriving the previous expression:

[tex]\vec v_{B/A} = -\left(40\,\frac{km}{h} \right)\cdot i + \left(15\,\frac{km}{h} \right)\cdot j[/tex]

Its magnitude is determined by means of the Pythagorean Theorem:

[tex]\|\vec v_{B/A}\| = \sqrt{\left(-40\,\frac{km}{h} \right)^{2}+\left(15\,\frac{km}{h} \right)^{2}}[/tex]

[tex]\|\vec r_{B/A}\| \approx 42.720\,\frac{km}{h}[/tex]

The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.

Answer:

A. 1.812

B. 1.753

C. 2.602

D. 3.747

E. 2.069

F. 2.453

Step-by-step explanation:

A. 95% confidence level, the level of significance = 5% or 0.05

Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 10 degrees of freedom = 1.182

B. 95% confidence interval = 0.05 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 15 degrees of freedom = 1.753

C. 99% confidence interval = 0.01 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 15 degrees of freedom = 2.602

D. 99% confidence interval = 0.01 level of significance; DF (n - 1) = 5- 1 = 4

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 4 degrees of freedom = 3.747

E. 98% confidence interval = 0.02 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.02 significance level with 23 degrees of freedom = 2.069

F. 99% confidence interval = 0.01 level of significance; df (n - 1) = 32 - 1 = 31

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 31 degrees of freedom = 2.453

Answer:

+30

Step-by-step explanation:

1255- 1075 = 180

180 /6 = 30

Answer:

Step-by-step explanation:

[tex]A=\pi r^2\\Area = 36\pi\\r = ?\\36\pi = \pi r^2\\Divide \:both \:sides \:of\: the \:equation\: by\: \pi\\\frac{36\pi}{\pi} = \frac{\pi r^2}{\pi} \\r^2 = 36\\Find\: the\: square\: root\: of\: both\: sides\: \\\sqrt{r^2} =\sqrt{36} \\\\r = 6\: feet\\[/tex]

Answer:

Option (1)

Step-by-step explanation:

In the graph attached,

There are three intervals of the function graphed.

1st interval → -∞ < x < -3

2nd interval → -3 ≤ x ≤ 2

3rd interval → 2 < x < ∞

In the 1st interval, value of the function is constant. [represented by a straight horizontal line]

In the second interval, line graphed is slanting down. (slope of the line is negative).

Therefore, value of the function is decreasing in -3 ≤ x ≤ 2

In 3rd interval, slope of the line is positive. Therefore, function is increasing in the 3rd interval.

Option (1) will be the answer.

Answer: -3 ≤ x ≤ 2 is correct

Step-by-step explanation: I just took the exam :)

Answer:

Length of the drain pipe is 72.15 feet.

Step-by-step explanation:

From the figure attached,

A drain pipe is to be laid between two pints P and Q.

Point P is 15 ft higher than the other point Q.

Angle of elevation of point P from point Q is 12°.

Let the length of pipe is l feet.

By applying Sine rule in the given right triangle PRQ,

Sin(∠Q) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Sin(12) = [tex]\frac{\text{PR}}{\text{PQ}}[/tex]

0.20791 = [tex]\frac{15}{l}[/tex]

[tex]l=\frac{15}{0.20791}[/tex]

[tex]l=72.146[/tex]

l = 72.15 ft

Therefore, length of the drain pipe is 72.15 feet.

Answer:

Simply plug in the polynomial into a graphing calc.

Step-by-step explanation:

Answer:

2 and angle that is left of 5

Step-by-step explanation:

Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.

Answer:

y = -15

Step-by-step explanation:

x-5y=-15x−5

Let x = -5

-5 -5y = -15 * -5 -5

Combine like terms

-5 -5y = 75-5

-5 -5y = 70

Add 5 to each side

-5y = 75

Divide by -5

y = -15

Answer:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Step-by-step explanation:

The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.

The area of the right triangle can be calculated as:

[tex]A_t=\frac{b*h}{2} =\frac{LM*MN}{2}[/tex]

Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:

[tex]A_t=\frac{4*4}{2}=8[/tex]

The diameter of the circle can be calculated using the Pythagorean theorem as:

[tex]D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}[/tex]

So, the radius is [tex]r=2\sqrt{2}[/tex]

Finally, the area of the semicircle is:

[tex]A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi[/tex]

So, the area of the shaded region is:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Answer: m= 2

Step-by-step explanation: First Expand the brackets! 5-m+4=2m+3m-3

                                    Then Do the addition and subtraction in both sides!

                                     9-m=5m-3

                                 Then bring m to one side and the constants the other!

                                   6m=12

                                    Then solve for m where m=2

                                     If you want you can check your answer bu substituting m as 2. 5-(2-4)=7 and 2(2) + 3(2-1) which also = 7.

Answer:

R4 ≤ 0.00008

R4 = 0.00001

Step-by-step explanation:

Given: sinh( 0.4 ) ≈ [tex]1 - \frac{(0.4)^2}{2!} + \frac{(0.4)^2}{4!}[/tex]

using Taylor's Theorem

R4 ≤ 0.00008

R4 = 0.00001

attached is the detailed solution

Answer:

[tex]\boxed{Option \ 4}[/tex]

Step-by-step explanation:

∠YVZ = 180 - 52 - 43 - 38   (Angles on a straight line add up to 180 degrees so if we try to find an unknown angle on the straight line, we need too subtract all the other angles from 180 degrees)

=> ∠YUZ = 47 degrees

Step-by-step explanation: In the figure shown, <UVW is a straight angle.

This means it measures 180 degrees.

So to find <YVZ, we add up all the angles and subtract the sum

from 180 to get the answer to this problem.

43 + 52 + 38 gives us a sum of 133.

Now we take 180 - 133 yo get 47.

So m<YVZ is 47 degrees.