To convert Celsius temperatures to Fahrenheit temperatures, the function F defined by F(x) = 32 + 1.87 is useful. Confirm this, then find a formula for the function C (which could also be called F-1) that converts Fahrenheit temperatures to Celsius temperatures.

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

The formula to convert the temperature from Celcius to Fahrenheit is:

\(\textdegree F = (\textdegree C * 1.8) + 32\)

We need to calculate the temperature change of \(6 \textdegree C\) in Fahrenheit:

\(\Delta \textdegree C = 6\\\Delta \textdegree F = \Delta \textdegree C * 1.8 = 10.8\)

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

We can calculate the  Fahrenheit temperature of the water and the desired temperature in Fahrenheit:

\(^{\circ}C = 19\\^{\circ}F = (19 * 1.8) + 32 = 66.2\)

\(^{\circ}C = 25\\^{\circ}F = (25 * 1.8) + 32 = 77\)

The current temperature of the pool is \(66.2 ^{\circ} F\) and the desired temperature is \(77 ^{\circ} F\).

Therefore the temperature needs to be increased by:

\(\Delta ^{\circ}F = 77 - 66.2 = 10.8 ^{\circ}F\)

which is the same temperature change we calculated earlier in Fahrenheit.

Therefore, the temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

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Answer:

a

Step-by-step explanation:

numbers all have to be greater than 17. 14 and 15 are both less than

SOLUTION:

Step 1:

For Question No 15, we have that:

Step 2:

Now, let

Then,

Then,

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

The length of the kite string is 16. 984m

A kite is currently flying at an altitude of 9 meters above the ground.

and, the angle of elevation from the ground to the kite is 32 degrees.

To find the length of the kite string to the nearest meter.

Now, According to the question:

Let the length of the kite string be x m.

From the diagram, the length of the kite string x m is hypothesis

The altitude is 9 m is opposite

and, horizontal line is adjacent.

Formula is:

Sin θ = opposite / hypotenuse

where Sinθ = 32 degree

opposite = 9 m

Hypotenuse = x m

Hence, Sin 32 = 9/x

x = 9/ sin 32 , and Sin 32 degree = 0.5299(approx.)

x = 9/ 0.5299

x = 16. 984 (approx.)

Hence, The length of the kite string is 16. 984m

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Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

A = P(1 + r/n)^(nt)

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Have a GREAT day!!!

There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form

\(y=a(x+1)^3 (x-2)^2\)

Since the y-intercept is 4,

\(4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}\)

The actual distance between the two cities is 432 miles.

The figure shows a map of two cities, with a distance between them measured at 4.5 inches.

The scale of the map is given as 1/8 inch to 12 miles.

This means that 1/8 inch on the map represents a distance of 12 miles in real life.

To determine the actual distance between the two cities, we can use the scale provided.

1/8 inch on the map represents 12 miles in real life.

A proportion to find the actual distance between the cities:

1/8 inch on map = 12 miles in real life

4.5 inches on map = x miles in real life

To solve for x, we can cross-multiply and simplify:

1/8 × x = 12 × 4.5

x = 12 × 4.5 × 8

x = 432 miles

Maps with scales can be useful for determining distances, sizes, and proportions of objects in real life.

It allows us to visually represent complex spatial relationships and make measurements without physically being present at the location.

Remember to use the correct scale and make sure to convert units properly in order to accurately determine real-life measurements.

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The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The initial height of the rocket is given by the value of h when t = 0:

h(t)=-4t² + 16t + 24

h(0)=-4(0)² + 16(0) + 24

h(0)=24

So the initial height of the rocket is 24 metres.

The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:

0 = -4t²+ 16t + 24

-4t² + 16t + 24 = 0

t=-0.88 seconds

So the rocket will hit the ground after approximately 0.88 seconds.

The height of the rocket after 4 seconds is given by:

h(4)== -4(4)²+ 16(4) + 24

=-64+64+24

=24

So the height of the rocket after 4 seconds is 24 metres.

Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

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The intersection of plane A and line m can be describes as line m .

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

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Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

yes

Step-by-step explanation:

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{-3x}-10\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-3\implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3}\implies \cfrac{1}{3}}}\)

so we're really looking for the equation of a line whose slope is 1/3 and that it passes through (9 , -2)

\((\stackrel{x_1}{9}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{9}) \implies y +2= \cfrac{1}{3} (x -9) \\\\\\ y+2=\cfrac{1}{3}x-3\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-5 \end{array}}\)

Answer:

Its X-1

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.

Answer:

The simplest form of √800 is  4√5

Step-by-step explanation:

When finding the simplest form of a square root, we want to express the square root as a product of a whole number and a square root of a prime number. This is because the square root of a prime number cannot be simplified any further, while the square root of a composite number (a number that is not prime) can be further simplified.

In this case, we start by seeing that 800 can be factored as 20*40. To simplify the square root, we need to find the square root of each of these factors. The square root of 20 is not a whole number, but the square root of 40 is √40 i.e. 2√10, which can be further simplified as 2*2√5.

So, √800 = √(2040) = √20 * √40 = 2√10 = 2*2√5 = 4√5

As 4 is a whole number and √5 can't be simplified further, this is the simplest form of the square root of 800.

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Although part of your question is missing, you might be referring to this question "What is the simplest form of √ 800 and explain why?"

Answer:

Look at the picture. The answer and the steps are all in it.

Answer:

the magnitude of a real number without regard to its sign.

Step-by-step explanation:

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

​

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

x|x∈R(all real numbers)

y|y∈R(all real number)

Yes its is

Hope This Helps!!!

Answer:

Step-by-step explanation:

I believe u have to factorise

(a+3)(a+5)

\(\huge\textbf{Use the distributive property.}\)

\(\begin{aligned}A.&&3(x+2)&=18\\ B.&&3x+6&=18 \end{aligned}\)

You can use the distributive property to get equation B from equation A.

The distributive property proves that \(a(b+c)=ab+ac\). Use this same logic on equation A, distributing \(3\) to \((x+2)\).

\(\begin{aligned}3(x+2)&=18\\3x+3(2)&=18\\3x+6&=18\end{aligned}\)

Since the triangles are similar there exists correspondance in the angles, so in order to solve this you just have to clear the function:

Since D is the midpoint of VU, VD=50

then

Answer: there all divided by 2

so it's 2

Answer:

What is the average score?

Step-by-step explanation:

If it was 84.5, then the missing number is 86

if it was 84.75, then the missing number is 87

If you tell me what the average is, i'll tell u the right answer in case it's not here.

Let me know if my answer is right

Answer:

It depends on the average score

Step-by-step explanation:

what is the average score ? put it in the comments and i will answer it in the comments

can i get Brainliest???

Answer: As soon as possible

Step-by-step Explanation: You just say ASAP for As soon as possible