1. Antoinette ran 1⁄3 of the way from her home to school. She ran 1⁄4 mile. How far is it between her home and school? (Use a diagram to model the situation).
a. 1 mile b. 3⁄4 mile c. 2/3 mile d. 1⁄2 mile

Answer: 7.40 meters

Step-by-step explanation:

I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)

All you do is:

tan(30)=opposite/adjacent

tan(30)=h/10

10*tan(30)=h

h≈5.77 meters

163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters

This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/

Answer:

-620

Step-by-step explanation:

Answer:

-620

Step-by-step explanation:

You just need to do the ten's time tables

Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

To know more about traction,

https://brainly.com/question/5039394

#SPJ11

Shorter side = 9 cm

The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.

A/Q

Perimeter of rectangle = 44cm

We know:

p=2(L+B)

.°. ⇒44 =2(a+b)

⇒44 /2 =a+b

⇒22=a+b

So:

a=22-b

b=22-a

Now Let's put values in formula of Area

A/Q

Area of rectangle = 117cm²

We know:

Area =L×B

.°.117=ab

Put value of b in this equation

⇒117=a(22-a)

⇒117=22a-a²=0

⇒a-22a²+117=0

⇒(a- 9)(a- 13) = 0

.°. a=9

a=13cm

Let's put value of a as 13 to find b

⇒b=22-a

⇒b=22-13

⇒b=9cm

So the side having 9cm is shorter i.e. b

Answer:

\(\bar x_{girls} = 46.25\)

Step-by-step explanation:

Given

\(Boys = 7\\Girls = 16\)

\(\bar x = 49\)

Required

Mean of girls

The mean of the boys and girls is calculated as:

\(\bar x = \frac{\sum x}{n}\)

This gives:

\(\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}\)

So, we have:

\(49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}\)

\(49= \frac{387 + \sum(girls)}{23}\)

Cross multiply

\(23 * 49=387 + \sum(girls)\)

\(1127=387 + \sum(girls)\)

Subtract by 387

\(1127-387 = \sum(girls)\)

\(740= \sum(girls)\)

\(\sum(girls) = 740\)

The mean of girls is:

\(\bar x_{girls} = \frac{\sum(girls)}{girls}\)

\(\bar x_{girls} = \frac{740}{16}\)

\(\bar x_{girls} = 46.25\)

Answer:

the answer is B

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

Therefore, the cost of 3 pencils is approximately $1.80.

To find the cost of 3 pencils, we can set up a proportion based on the given information:

7 pencils cost $4.20

Let's assign the cost of 3 pencils as x dollars.

The proportion can be set up as: 7 pencils / $4.20 = 3 pencils / x

To solve for x, we can cross-multiply: 7 * x = 3 * $4.20

7x = $12.60

Dividing both sides of the equation by 7:

x = $12.60 / 7

x ≈ $1.80

Therefore, the cost of 3 pencils is approximately $1.80.

Learn more about cost  here

https://brainly.com/question/14566816

#SPJ11

Answer:

So as not to exceed the budget, where π = 22/7, we have;

The radius = 10 ft and the height = 3/11 ft

For standard 40 ft. height, the radius is approximately 0.8259 ft

Step-by-step explanation:

The amount set aside for the water tower = $900,000

The price (amount) per cubic foot = $10.50

Therefore, we have;

\(The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{The \ amount \ set aside \ for \ the \ water \ tower}{The \ price \ (amount) \ per \ cubic \ foot }\)

\(\therefore The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{\$ 900,000}{\$10.50/ft\\ ^3} = \dfrac{600}{7} ft.^3 = 85 \frac{5}{7} ft^3\)

Whereby the height of a standard water tower = 40 ft., we have;

The shape of the water tower = The shape of the water tower

∴ The volume of the water tower V = π × r² × h

Where;

r = The radius of the water tower

h = The height of the water tower

Taking π = 22/7

600/7  = 22/7 × r² × h

r² × h = 600/7/(22/7)  ≈ 300/11 = 100 × 3/11

Solving to get exact dimensions so as to not exceed the budget, we have;

r² × h = 100 × 3/11 = 10 × 10 × 3/11

Therefore, the radius can be 10 ft. and the height = 3/11 ft.

Or for standard 40 ft. height, we have;

r² = 600/7/(π × 40)

r ≈ 0.8259 ft.

Answer:

-4

Step-by-step explanation:

15-9= 6

6+11= 17

17-21= -4

Answer:

your answer is 2.

Step-by-step explanation:

3+6/2+2-3*2

3+3+2-3*2

3+3+2-6

6+2-6

8-6

2

Basically, follow PEMDAS (parenthesis, exponents, multipulcation, division, addition, and subtraction.) You move from left to right, Always remember that, ok.

0 0

 U

Responder:

94,800 pesos

Explicación paso a paso:

Dado que:

Para vender x de un producto diariamente, el precio al que debe vender cada uno de sus productos = 96800 - 10x pesos

Por lo tanto, para vender 200 unidades al día, el precio a cobrar será:

Sustituye 200 en lugar de x en la ecuación de precio anterior,

Es decir ;

x = 200

Precio = 96,800 - 10 (200) pesos

Precio = 96,800 - 2000

Precio = 94,800 pesos

De ahí que el precio a cobrar al vender 200 unidades diarias sea de 94.800 pesos.

Answer:

its blury i can't understand

Finding the smallest possible integer value of k requires analyzing the given equation and determining the conditions under which one root is less than 1 and the other is greater than 1.

The equation is:

2^(2x) - 2(k-1)^(2x) + k = 0

Let's break down the conditions step by step.

1. Square root less than 1:

To make the square root less than 1, we need to substitute x = 1 into the equation and get a positive value. So if x = 1, then

2^(2*1) - 2(k-1)^(2*1) + k > 0

4 - 2(k-1)^2 + k > 0

Extensions and simplifications:

4 - 2(k^2 - 2k + 1) + k > 0

4 - 2k^2 + 4k - 2 + k > 0

-2k^2 + 5k + 2 > 0

2k^2 - 5k - 2 < 0 xss=removed xss=removed xss=removed xss=removed > 0.

Now we can combine both conditions to find the smallest integer value of k.

2k^2 - 5k - 2 < 0 > 0 (Condition 2)

By solving these conditions simultaneously, we can find the range of values of k that satisfy both conditions and determine the smallest integer value of k. However, this process requires calculations and algebraic manipulations beyond the scope of simple text-based answers.

It is recommended to use an algebraic calculator or software to solve the equation and find the smallest integer value of k that satisfies the given conditions. 

Answer:

h(-1) = -5

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

h(x) = 4x - 1

h(-1) is x = -1

Step 2: Evaluate

And we have our final answer!

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

18.84

Step-by-step explanation:

Hope this helps :)

Answer:

18.84

The equation for circumference is 2πr which means that you times 2 by pi and then the radius which is 6 divided by 2 so 3. Then you get 6π which is 18.84

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

To know more about rate of change, refer here:

https://brainly.com/question/29181688#

#SPJ11

Answer:

1.8

Step-by-step explanation:

Unit rate in mile per hour

=  4/5 mile / 4/9 hour

= 4/5 * 9/4 = 9/5  miles per hour

= 9/5 = 1.8 miles per hour

If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be:

d. The deflecting force will be quadrupled.

The deflecting force experienced by a charged particle moving across a magnetic field is given by the equation F = qvBsinθ, where F is the deflecting force, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

If both the speed (v) and charge (q) of the particle are doubled, the deflecting force (F) can be calculated by substituting the new values into the equation:

F' = (2q)(2v)Bsinθ = 4(qvBsinθ) = 4F

Learn more about deflecting force:

https://brainly.com/question/18706308

#SPJ11

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

Learn more about isosceles triangle at

https://brainly.com/question/2456591

#SPJ1

The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

To lear more about slope-intercept form of equation link is here

brainly.com/question/21298390

#SPJ4

The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

Answer:

3w²+2w

Step-by-step explanation:

(9w² +3w)-(6w²+w)

=9w²+3w-6w²-w

collecting like terms

=9w²-6w²+3w-w

=3w²+2w

=w(2+3w)

Answer:

1,125.5

Step-by-step explanation:

You subtract the amount she climbed on the last day then divide the difference by four

Answer:

She climbed 4502 feet the first four days and if she climbed the same amount each of those four days she climbed 1125.5 each day!

Answer: It is (x - 3)(x + 5)

Answer:

\(6a^3+45b\)

Step-by-step explanation:

\(2a\times a\times 3a+b\times 45\)

\(2a\times 1a\times 3a+b\times 45\)

\(2\times 1\times 3 \times a \times a \times a+b\times 45\)

\(6a^3+b \times45\)

\(=6a^3+45b\)

Answer:

6a^3 + 45b

Step-by-step explanation:

=2a × a × 3a + b × 45

=2a × 1a × 3a + b × 45

=2 × 1 × 3 × a × a × a + b × 45

=6a^3 + b × 45

= 6a^3 + 45b

Answer:

6+6= 30 billion

Step-by-step explanation:

Answer:

6 + 6 = 66 or 12

Step-by-step explanation:

I'm not sure