Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE

Answer:

2)  $40 per shirt

3)  80/9 m = 8.9 m (nearest tenth)

Step-by-step explanation:

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Question 2

Given information:

Let [tex]x[/tex] = number of $1 increases

Let [tex]y[/tex] = total revenue (in dollars)

From the given information:

Therefore, we can create a quadratic equation with the given information:

[tex]\implies y = (20+x)(300-5x)[/tex]

As we need to find the maximum amount of revenue, we need to find the vertex of [tex]y[/tex].  As the equation is already factored, the quickest way to do this is to the find the mid-point of the zeros (since a quadratic curve is symmetrical).

[tex]\begin{aligned}y & =0\\\implies (20+x)(300-5x) & =0\\\implies (20+x) & =0 \implies x=-20\\\implies (300-5x) & = 0 \implies x=60\end{aligned}[/tex]

[tex]\textsf{Midpoint}=\dfrac{-20+60}{2}=20[/tex]

Therefore, Sammy should have 20 $1 increases to maximize the revenue, so the new price will be:

[tex]\implies \$20 + 20 \times \$1 = \$40\: \sf per\:shirt[/tex]

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Question 3

Given information:

As the bridge is modeled as a parabola, and we have been given the width and height, we can create a quadratic equation using the vertex form.

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where:

Middle of the bridge = 30 m ÷ 2 = 15 m

Max height of the bridge = 10 m

Therefore, the vertex of the parabola is (15, 10)

[tex]\implies y=a(x-15)^2+10[/tex]

We know that when [tex]x = 0, y = 0[/tex].  Therefore, substitute these values into the equation and solve for a:

[tex]\implies 0=a(0-15)^2+10[/tex]

[tex]\implies 0=225a+10[/tex]

[tex]\implies 225a=-10[/tex]

[tex]\implies a=-\dfrac{10}{225}[/tex]

[tex]\implies a=-\dfrac{2}{45}[/tex]

Therefore, the equation of the parabola is:

[tex]\implies y=-\dfrac{2}{45}(x-15)^2+10 \quad \quad \textsf{for }0\leq x\leq 30[/tex]

The horizontal distance at 5 m right of the middle is:

[tex]\implies \dfrac{30}{2}+5=20\:\sf m[/tex]

Therefore, to find the height at this point, input [tex]x=20[/tex] into the equation and solve for y:

[tex]\implies -\dfrac{2}{45}(20-15)^2+10=\dfrac{80}{9}\:\sf m[/tex]

Therefore, the height of the bridge at 5 m to the right of the middle is:

[tex]\dfrac{80}{9}\:=8.9\: \sf m\:(nearest\:tenth)[/tex]

Answer:

[tex] \frac{1}{24} miles \\ [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} - \frac{5}{6} = \frac{1}{24} [/tex]

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]

The given equation is equivalent to Option D .

The mission option is

A. x+10= x+10

B. x+9 =x² + 20x + 100

C. x² +81 = x² + 100

D. x² + 81 = x² +20x + 100

An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .

An equation is given in the question

[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]

[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]

[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]

Therefore the given equation is equivalent to Option D .

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The correct statements regarding the function in the graph are given as follows:

B. The function does not reach a maximum value.

C The function is increasing for all values of x larger than 2.

The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.

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Answer:

Given units of measures of volume:

Units of measure:

1. Water in a rectangular pool → m³

2. an ice cube before it melts → cm³

3. a dice → mm³

4. a blackboard eraser → cm³

5. oil in a rectangular box → dm³

To convert liters to cubic meters, divide by 1000:

⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³

To convert liters to cubic centimeters, multiply by 1000:

⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³

[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]

Answer:

Step-by-step explanation:

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

An equation is an expression that shows the relationship between two or more variables or numbers.

[tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}[/tex]

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

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The area of the triangle AOB is 9√3 square units

The triangle AOB is an equilateral triangle with the following parameters:

Side length, x = 6

Angle, y = 60

The area of the triangle is then calculated using:

Area = 0.5 * x^2 * sin(y)

So, we have:

Area = 0.5 * 6^2 * sin(60)

Evaluate

Area = 18 * 0.5√3

Evaluate the product

Area = 9√3

Hence, the area of the triangle AOB is 9√3 square units

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Answer:

3 * (x + 3) = x * 5 - 3

Answer:

d) 20 = (4) (5)

e)-14x = (7) (0) = undefined

f) Every Real numbers are solutions, here.

Step-by-step explanation:

2) Identify the missing factors:-

d) 20 = 4(?)

Solved:

Let us assume that *?* = x here.

e)-14x = (7) (?)

Assume *?* as x

f) x^3=x^2(?)

Assume ? as x

Answer:
Option c

Step-by-step explanation:

Since tangent = op/adj, in this case the tan37 would be x/1000.

Then, set it up as an algebra problem.

tan37 = x/1000

Multiply both sides by 1000, so 1000tan37=x

that simplifies to x = 753.6

Answer:

I would think that it would be 8

Step-by-step explanation:

1-2= (-1)= -1+2=1

I think it's 8. 8 times the number of 1 is well...8.

Step-by-step explanation:

x = the number

x * 2 = 1  

soooo   x = 1/2

then   8 * 1/2  = 4

Answer:

It's A

Step-by-step explanation:

Thx to the guy in the comments above

Answer:

It's A

Step-by-step explanation:

It's right

Answer:

Option C

Step-by-step explanation:

Any evening time on a 24 hour clock will be that hour add 12 :

3:50 pm =

3:50 + 12:00 = 15:50

Option C must be the answer

Hope this helped and brainliest please

Answer:

c.1550 hrs

Step-by-step explanation:

It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on

Hope This Helped

Answer: 60( 1 - 72)

Step-by-step explanation: i think it might be right so heres a proof

Answer:

No

Step-by-step explanation:

The defining property of a rhombus is that it has equal side lengths.

=============================================================

Finding all side lengths :

AB

⇒ √(-4 + 6)² + (5 - 4)²

⇒ √2² + 1²

⇒ √5 units

BC

⇒ √(-3 + 4)² + (3 - 5)²

⇒ √1² + (-2)²

⇒ √5 units

CD

⇒ √(-5 + 3)² + (1 - 3)²

⇒ √(-2)² + (-2)²

⇒ √8 units

DA

⇒ √(-6 + 5)² + (4 - 1)²

⇒ √(-1)² + 3²

⇒ √10 units

As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

Answer: Heyaa! ~

Your Answer would be.. =4

Step-by-step explanation:

Hopefully this helps you ! ^^

Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

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71% subtracted from 100% is 29%

Add or subtract the given percent from 100%.

71%

The percentage (p) is given as:

p = 71%

When subtracted from 100%, we have:

100% - p

Substitute p = 71%

100% - 71%

71 subtracted from 100 is 29.

So, we have:

100% - 71% = 29%

Hence, 71% subtracted from 100% is 29%

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The critical value at the 0.010 significance level with 6 degrees of freedom are ±3.7074

The dataset is given as:

21.1, 25.1, 26.1, 27.1, 24.1, 31.1, and 31.1

The sample mean is:

[tex]\bar x = 22.1[/tex]

The significance level is

α = 0.010

Start by calculating the degrees of freedom using:

df = n - 1

Where n represents the sample size (n = 7)

So, we have:

df = 7 - 1

df = 6

Using the table for t critical values for a two-tailed test, we have:

Critical value = ±3.7074

Hence, the critical value at the 0.010 significance level with 6 degrees of freedom are ±3.7074

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Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

Answer:

1.  0.9925  (4 d.p.)

2.  17°

3.  67°

Step-by-step explanation:

Question 2

⇒ sin 83° = 0.9925461516...

⇒ sin 83° = 0.9925 (4 d.p.)

Question 3

[tex]\sf \implies \sin X=0.2923[/tex]

[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]

[tex]\implies \sf X=16.99570395...^{\circ}[/tex]

[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]

Question 4

Sine Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

From inspection of the triangle:

Substitute the values into the formula and solve for W:

[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]

[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]

[tex]\implies \sf W=67.38013505...^{\circ}[/tex]

[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]