There are 18 classes at Jerome Elementary. There are 23 students in each class.
Select all of the expressions that are not good ways to use compatible numbers
to estimate the number of students at Jerome Elementary.
A. 18 x 23
B. 20 x 20
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C. 20 x 25
D. 10 x 20
E. 18 x 25
3 of 8 Answered

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

A :) Sorry if it's wrong, I'm learning this too

Answer:

÷3

Step-by-step explanation:

&$#*×&×$;$:$&;%%:#,¿×€$:%

Answer:

A

Step-by-step explanation:

when doing algebra like this, you need to isolate the variable using its reverse operation. For + its -.  For - its +. For * its /. For / its *.

True, Logarithms were used extensively for complicated calculations before the electronic calculator became widely available. A logarithm is a mathematical function that helps simplify complex arithmetic operations by converting multiplication and division into addition and subtraction, respectively.

By using logarithms, complex calculations could be broken down into simpler steps and performed more easily. Logarithms were particularly useful in fields such as astronomy, physics, and engineering, where large numbers and complicated formulas were common. However, with the advent of electronic calculators, the use of logarithms for everyday calculations declined. Today, logarithms are still used in certain fields and for specific applications, but they are no longer the primary tool for carrying out complicated calculations.

Before the electronic calculator became widely available, logarithms were used to carry out complicated calculations. Logarithms simplified complex calculations by turning multiplication and division operations into addition and subtraction.

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Answer:

The answer is 41

Step-by-step explanation:

400 = 900 + 625 - 1500 cos x

400 - 1525 = -1500 cos x

-1125 = -1500 cos

cos x = -1125/-1500

x = cos⁻¹ 0.75

x = 41.409622109

x ≈ 41°

Answer:

41

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7 4

3 × (-3)

It would be answer four because it would be equivalent and equal expression

Hope that helps :)

The two-decimal-place approximation of the solution to the equation is x ≈ 3.67.

To find the solutions to the equation 3x + 3 = 25 - 3x, we can start by simplifying the equation:

3x + 3x = 25 - 3

6x = 22

x = 22/6

Using a calculator or performing the division, we can find the decimal approximation of x:

x ≈ 3.67

Therefore, the two-decimal-place approximation of the solution to the equation is x ≈ 3.67.

we want to isolate the variable x on one side of the equation. We can do this by combining like terms and performing algebraic operations to simplify the equation.

By adding 3x to both sides of the equation, we eliminate the variable on the right side, and by subtracting 3 from both sides, we isolate the variable on the left side. This leads us to the equation 6x = 22.

To find the value of x, we divide both sides of the equation by 6, which gives us x = 22/6. This is the exact solution of the equation.

However, since the question asks for two-decimal-place approximation, we can use a calculator or perform the division to find x ≈ 3.67.

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Answer: The answer is just 24.3 miles.

The questions asked "How long was the ride from Kiley's house to the airport?"

The first sentence of the problem reads "They drove 24.3 miles from their house to the airport in an hour". The rest of the information isn't necessary to find this answer.

Step-by-step explanation:

Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

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If a coin lands on Tails 600 times and the relative frequency of Tails is 0. 3, the coin was thrown 2000 times.

To find the number of times the coin was thrown, we need to use the relative frequency of Tails and the number of times Tails was observed. The relative frequency of Tails is defined as the ratio of the number of times Tails was observed to the total number of trials, expressed as a decimal or percentage.

In this case, the relative frequency of Tails is given as 0.3, which means that Tails was observed in 30% of the trials. We also know that Tails was observed 600 times, so we can set up a proportion:

Tails / Total trials = Relative frequency of Tails

600 / Total trials = 0.3

To solve for the total number of trials, we need to cross-multiply and simplify:

600 = 0.3 * Total trials

Total trials = 600 / 0.3

Total trials = 2000

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Answer:

A

Step-by-step explanation:

x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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The U.S. government used coercive treaties, broken promises, military force, and economic pressures to persuade Native Americans to settle on reservations, often resulting in displacement and loss of land.

The history of Native American reservations in the United States is complex and multifaceted. While it is important to note that not all Native Americans were tricked into settling on reservations, there were various factors and events that led to the establishment of reservations and the displacement of Native peoples. Here are some key points:

Treaties and Agreements: In the 19th century, the U.S. government negotiated numerous treaties and agreements with Native American tribes. These agreements were often presented as a means to protect tribal lands, resources, and cultural autonomy. However, some of these treaties were negotiated under coercive circumstances, with unequal bargaining power and the threat of military force.

Broken Promises: Many of the treaties and agreements made between the U.S. government and Native American tribes were not honored. The government frequently violated its promises and encroached upon tribal lands, often due to the discovery of valuable resources like gold, timber, or fertile land. This led to the forced removal of Native peoples from their ancestral territories.

Indian Removal Act: In 1830, the Indian Removal Act was passed by the U.S. Congress. This legislation authorized the relocation of Native American tribes from their homelands to designated reservations in the West. The act was justified under the premise of opening up land for white settlement and facilitating the assimilation of Native Americans into Euro-American society.

Military Force: In some cases, the U.S. government used military force to remove Native American tribes from their lands and confine them to reservations. The most well-known example is the forced relocation of thousands of Cherokee people along the Trail of Tears in the 1830s.

Economic and Social Pressures: Native American communities faced increasing economic and social pressures as European settlers expanded westward. Encroachment on tribal lands, depletion of natural resources, introduction of diseases, and the decline of traditional livelihoods further marginalized Native peoples and made the reservations appear as a solution to their dire circumstances.

It is essential to approach this topic with sensitivity and recognize the diverse experiences and perspectives of Native American tribes throughout history. The process of reservation establishment involved a complex interplay of political, economic, and social factors, and it is not accurate to portray it solely as a deliberate trickery by the government.

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Answer: 8/10

Step-by-step explanation: so you have to multiply 5 times x u till you get 10 so you’ll multiply it 2 times and since you multiplied the left 5 times two you have to multiply the 4 by 2 also to keep everything equal so the final answer is 8/10

Answer: W=−1/10

Step-by-step explanation:

Move all terms not containing

W

to the right side of the equation.

Exact Form:

W=−1/10

Decimal Form:

W=−0.1

a. The length and measures of the missing side and angles in triangle ABC are:

AB = 70.77

∠A ≈ 47.3°

∠B ≈ 42.7°

b. The measure and lengths of the angle and missing sides in triangle XYZ are:

∠Y = 60°

h = 17.32

XY = 34.64

From the question, we are to solve the given triangles for the missing sides and angles

Triangle ABC is a right triangle,

Thus,

From the Pythagorean theorem, we can write that

AB² = BC² + CA²

AB² = 52² + 48²

AB² = 5008

AB = √5008

AB = 70.77

Using SOH CAH TOA,

tan (A) = BC/CA

tan (A) = 52 / 48

∠A = tan⁻¹(52/48)

∠A = 47.2906°

∠A ≈ 47.3°

∠A + ∠B = 90° (Complementary angles)

∠B = 90° - 47.2906°

∠B = 42.7094°

∠B ≈ 42.7°

b.

Since ∠Z = 90°

Triangle XYZ is a right triangle.

Thus,

We can write that

∠X + ∠Y = 90° (Complementary angles)

∠Y = 90° - 30°

∠Y = 60°

From SOH CAH TOA

tan (30°) = YZ/ZX

tan (30°) = h / 30

h = 30 × tan (30°)

h = 17.32

Also,

cos (30°) = ZX / XY

cos (30°) = 30 / XY

XY = 30 / cos(30°)

XY = 34.64

Hence,

∠Y = 60°

h = 17.32

XY = 34.64

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Answer:

if u need to write an equation for it, it would be |2x-11| =7

Answer:

$1.24

Step-by-step explanation:

use a proportion.

$3.10/5 = x/2

5x = 2 × $3.10

x = $1.24

Answer:

$1.24

Step-by-step explanation:

$3.10 for 5 bags

I bag = 310/5= 62

Move the decimal point back two times which is 0.62

2 bags cost 0.62*2= 1.24

= $1.24

\(\large\underline{\rm Solution }:- \)

Given function to us is ,

\(\implies f(x) = 3x^3 - 5x + 1 \)

The domain of the expression will be all real numbers except where the given expression is not defined . Therefore , the domain is ,

\(\underline\text{ In Interval Notation :- }\)

\(\implies \boxed{ Domain : ( -\infty , +\infty ) }\)

\(\underline\text{ In Set Builder Notation :- }\)

\(\implies \boxed{ Domain : \{ x | x \in \mathbb{R} \}}\)

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

\(x=31\)

Step-by-step explanation:

\(From~ the ~given ~figure~ the~ sum ~of ~two~ angles~ is ~180\)

\(so, 2x+9+3x+16=180\)

\(5x+25=180\)

\(5x=180-25\)

\(5x=155\)

\(x=31\)

---------------------------

hope it helps...

have a great day!!

Answer:

x = 31

Step-by-step explanation:

hope it helps...

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

\(P(X=x)=^nC_xp^x(1-p)^{n-x}\)

The probability that at least 3 will file bank loans next year :

\(P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841\)

Hence, the required probability= 0.6841

Answer: 3

Step-by-step explanation:

The equation of the tangent line to the path of the particle at t = 2 is (option) b. y = x - 3.

To find the equation of the tangent line at t = 2, we need to find the values of x(2) and y(2) and the slopes of the tangent line. From the given parametric equations, we have:

x(t) = -ln(t) + C1

y(t) = -2/t + C2

where C1 and C2 are constants of integration. To find C1 and C2, we use the initial conditions x(2) = 1 and y(2) = -2:

1 = -ln(2) + C1

-2 = -2/2 + C2

C1 = 1 + ln(2)

C2 = -1

Differentiating x(t) and y(t) with respect to t, we get:

dx/dt = -1/t

dy/dt = 4/t^3

At t = 2, we have dx/dt = -1/2 and dy/dt = 1/4. The slope of the tangent line is given by dy/dx, which is:

dy/dx = (dy/dt)/(dx/dt) = (-1/4)/(-1/2) = 1/2

Therefore, the equation of the tangent line at t = 2 is:

y - (-2) = (1/2)(x - 1)

y = x - 3

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Answer:

The degree is 1

It is a linear function

m = -5 and b = 0

Step-by-step explanation:

Here, we want to get the degree of the equation

As we can see, it is a linear function with the highest power of as 1

That means it is of degree 1

Comparing with the general form;

y = mx + b

m = -5

b = 0

Answer:

x(1+x+x^2)

Step-by-step explanation:

Answer:

y=8x+2

Step-by-step explanation:

the slope is 8 and the y intercept is 2

the slope is 8 dollars the increase of the price per hour. the yintercept is the amount she get for 0 hours (2 dollars)

1,10

2,18

8/1 is 8

10=8*1+b

10=8+b

2=b