The ratio of girls to boys in Lizas classroom is 5 to 4 how manny girls are in her classroom if there is a total of 27 students.

Answer:5 8

Step-by-step explanation:left 2 up 3

Answer: Perimeter of a semicircle- πr+2πr

Step-by-step explanation:

πr+2πr = 19.02cm

= (2+π)r = 19.02

= (2+3.14159)r/19.02

r = 3.7

The radius of the semicircle is 3.7 cm.

A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.

Given that, the total perimeter of a semicircle is 19.02 cm.

We need to find the radius of the semicircle,

We know that,

Perimeter of a semicircle = πr+2r

πr+2r = 19.02cm

= (2+π)r = 19.02

= (2+3.14)r / 19.02

r = 3.7

Hence, the radius of the semicircle is 3.7 cm.

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Answer:

$50

Step-by-step explanation:

The discount percentage was 36%. This means that $32 is 64% of the original cost.

Divide $32 by 64%: (32/.64= 50)

The original cost was $50.

Answer:

It's B, |-80+15|= 65

Step-by-step explanation:

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

notebooks and paperback

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

Answer:

The answer is

Step-by-step explanation:

The statement

y varies inversely with x is written as

\(y = \frac{k}{x} \)

where k is the constant of proportionality

To find k substitute the values of x and y into the equation

From the question

y = 4

x = 6

We have

\(4 = \frac{k}{6} \)

Cross multiply

k = 4 × 6

k = 24

So the formula for the variation is

Hope this helps you

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation

2x²+3x+5 roots means the zeros

So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant

b²-4ac=3²-4(3)(5)

9-60=-51

If the discriminant is < 0 means the equation have no solution

Answer:

D

Step-by-step explanation:

Total distance traveled is 80KM.

Total time taken is 1.5 hrs(0.5+1)

Average Speed = 80/1.5

=53, 3

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

Given:

\($&\overline{A B} \cong \overline{D E} \\\) and

\($&\overline{A C} \cong \overline{D F}\)

According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

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Answer:

Step-by-step explanation:

The additive inverse of [14/15*(-25/28)]+[2/3*6/7] is 1

You should be aware that the additive inverse of a number is the number that, when added to a, yields zero and the multiplicative inverse is the  reciprocal for a number

The given fractions are

[14/15*(-25/28)]+[2/3*6/7]

Let us solve it in parts

= 14/15*-15/28

=-392/420

The multiplicative inverse is

-392/420 *420/-392 =1

The second fraction is

[2/3*6/7]

The additive inverse is

12/21 -12/21 = 0

Therefore the additive inverse is 1+0 = 1

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Answer:

The area of 1 slice is of 19 square inches.

Step-by-step explanation:

Area of a circle:

The area of a circle of radius r is given by:

\(A = \pi r^2\)

A large pizza has a radius of 7 in.

So its area of the pizza, in square inches, is of:

\(A = \pi(7)^2 = 49\pi = 49*3.14 = 153.86\)

The pizza is cut into 8 slices of equal size. What is the area of 1 slice, rounded to the nearest whole number?

Area of the pizza divided by 8. So

153.86/8 = 19.2

Rounding to the nearest whole number, the area of 1 slice is of 19 square inches.

Answer:

Part A: C

Part B: B

Part C: 15.91

Step-by-step explanation:

first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.

Answer:

2. Half a lap, 0.5 or 1/2

3. 20/0.5 or 20/(1/2)

Step-by-step explanation:

Since it takes 40 seconds to skate 1 lap,

20 secs would be 20/40 laps, which is 1/2

Ratio is time/number of laps. So, 20/(1/2)

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

Step-by-step explanation:

Answer:

Center ( -8, 1 )

Radius ( 13 )

The range of values of x for which the given approximation is accurate to within the stated error (0.164375 (0.164375)3/3!=9.993513*10(-7))0.000001.

The series ∑∞n=1bnsin(nπLt) is known as the sine series of f(t) and the series a02+∑∞n=1ancos(nπLt) is known as the cosine series of f(t).

The development series of sin(x) near 0 is, according to

Sin(x) = x/1, x/3, and x/5!...............(1) (1)

Using the above estimate, S(x)=x-x3/3! ................(2)

Consequently, the incorrect phrase for the guess is

error=(2)- (1)

= -(x^5/5! - x^7/7! + x^9/9!)

According to the elective series hypothesis, we only want to make sure that the aggregate will be below as much as feasible and that the outright value of the initial term dropped (x5/5!) is not exactly as far as possible.

This declares what

|x^5/5!| < 0.000001

Speaking for x:

x^5=5!*0.000001=0.000120

x=(0.000120)^(1/5)=0.164375

In light of this, the estimation of sin(x) is x-x3/3! has a blatant error for the range [-0.164375,+0.164375] below 0.000001.

Thus,

sin(0.164375)- (0.164375)^3/3!=9.993513*10^(- 7) < 0.000001

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The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

Let's set up a coordinate system with the origin at sea level beneath Denver.

We'll use the x-axis to point east, the y-axis to point north, and the z-axis to point upward.

The plane starts directly above Denver at an altitude of 1650 meters.

We can represent this as the initial point P₀(0, 0, 1650).

The plane then flies to Bismark, which is about 850 km in the direction 60° north of east from Denver.

Let's represent the position of Bismark as the point P₁(x, y, z), where x and y are the horizontal displacements (east and north, respectively), and z is the altitude above sea level.

Since the plane flies at a constant height of 7500 meters above the line joining Denver and Bismark, the altitude z remains constant at 7500 meters.

Let's calculate the horizontal displacements x and y:

The eastward displacement x can be found using the cosine of the angle (60°) and the distance to Bismark (850 km):

x = 850 km * cos(60°) ≈ 425 km

The northward displacement y can be found using the sine of the angle (60°) and the distance to Bismark (850 km):

y = 850 km * sin(60°) ≈ 736.6 km

Now, we can write the parametric equations for the plane's motion:

x(t) = x₀ + (x₁ - x₀) * t

y(t) = y₀ + (y₁ - y₀) * t

z(t) = z

where:

x₀ = 0 (initial x-coordinate at Denver)

y₀ = 0 (initial y-coordinate at Denver)

z = 1650 meters (altitude above sea level at Denver)

x₁ = 425 km (x-coordinate at Bismark)

y₁ = 736.6 km (y-coordinate at Bismark)

The parameter t represents the time in hours.

The plane's motion is constant, so t will vary from 0 to the time it takes to travel from Denver to Bismark at a speed of 625 km/hour.

To find the time it takes, we can use the distance formula:

Distance = Speed * Time

850 km = 625 km/hour * Time

Time = 850 km / 625 km/hour ≈ 1.36 hours

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters).

It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver.

Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

So, the time it takes for the plane to travel from Denver to Bismark is approximately 1.36 hours.

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

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The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

x ≈ 399.43

Step-by-step explanation:

Using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

Given

\(log_{e}\) (x + 4) = 6 , then

x + 4 = \(e^{6}\) ( subtract 4 from both sides )

x = \(e^{6}\) - 4 ≈ 399.43 ( to the nearest hundredth )

Answer:

Step-by-step explanation:

Find the slope of the line by formula:

Substitute and calculate:

Use point-slope equation to determine the line:

Substitute and find:

According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.

To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.

According to the above, the divisions would be:

According to the above, Brad was the one who scored the most goals.

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Answer:

D

Step-by-step explanation:

or

This is the conditional distribution of style of dress for freshmen.