solve 12x + 4 + 2x = 39

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

[tex] \frac{5.76}{12} = 0.48 \: [/tex]

The height of the ball after 2 seconds is 100 feet.

A height function exists as a function that quantifies the intricacy of mathematical objects.  The height of an object, h(t), exists defined by the formula [tex]-16 t^{2}[/tex] + vt + h.

Given: Let, the polynomial equation be [tex]-16 t^{2}[/tex] + vt + h

h = 20 ft and v = 72 ft/s

y = [tex]-16 t^{2}[/tex] + 72t + 20

To estimate the height of the ball after 2 seconds

substitute the value of t = 2, then

y = -16 [tex]\times[/tex] 4 + 72 [tex]\times[/tex] 2 + 20

= -64 + 144 + 20

= 100 feet

The height of the ball after 2 seconds is 100 feet.

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Answer:

60.9º

Step-by-step explanation:

tan = opp/adj

tanX = 45/25

X = arctan 45/25

use calculator

X = 60.945395900922855

Rounded

60.9º

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer and Step-by-step explanation:

In a polygon, when a shape is similar but dilated, the angles are still congruent.

Also, turn the pentagon QRSTP counterclockwise 90 degrees so it is upright and looks like pentagon ABCDE (making it easier to read).

A. The measure of angle P is 124 degrees, as it matches up with angle E.

B. To find the length of side r, we need to find the scale factor. We do this by looking at the given side on pentagon QRSTP (side RS) and match it with its similar side of pentagon ABCDE (side BC)

To find the scale factor, you divide the side of the bigger shape by the side of the smaller shape. For us, this results in the scale factor being 2.

Now, the similar side to r is side ED. We need to divide 7.5 by 2 to find r.

When doing so, we get r to be 3.75.

#teamtrees #PAW (Plant And Water)

Answer:

c = 1062

Step-by-step explanation:

first move the terms

251 - c = -811

move the constant to the right hand side and change its sign

-c = -811 - 251

calculate the difference

- c = -1062

change the signs in both sides of the equation

c = 1062

Answer:

1062

Step-by-step explanation:

811 + 251=1062

Answer:

100

Step-by-step explanation:

40 +40=80 (both bottom angles)

180-80=100

Answer:

[tex](a)\ Ratio = 1.43[/tex]

[tex](b)\ Ratio = 0.864[/tex]

Step-by-step explanation:

Given

[tex]French\ Week= 10\ days[/tex]

[tex]French\ days= 10\ hours[/tex]

[tex]French\ hours= 100\ minutes[/tex]

[tex]French\ minutes= 100\ seconds[/tex]

Solving (a): Ratio of french minute to standard week

This is calculated as:

[tex]Ratio = \frac{French\ week}{Standard\ week}[/tex]

[tex]Ratio = \frac{10\ days}{7\ days}[/tex]

[tex]Ratio = \frac{10}{7}[/tex]

[tex]Ratio = 1.43[/tex]

Solving (b): Ratio of french second to standard second

This is calculated as:

[tex]Ratio = \frac{French\ second}{Standard\ second}[/tex]

Convert french days to seconds

[tex]French\ days= 10\ hours[/tex]

[tex]French\ days = 10hr * 100mins/hr * 100secs/min[/tex]

[tex]French\ days = 10 * 100 * 100secs[/tex]

[tex]French\ days = 100000\ secs[/tex]

This gives:

[tex]French\ second = \frac{1}{100000}day[/tex]

For standard day, we have:

[tex]Standard\ second = \frac{1}{86400}day[/tex]

So, we have:

[tex]Ratio = \frac{1/100000}{1/86400}[/tex]

Rewrite as:

[tex]Ratio = \frac{1}{100000} \div \frac{1}{86400}[/tex]

[tex]Ratio = \frac{1}{100000} * \frac{86400}{1}[/tex]

[tex]Ratio = \frac{86400}{100000}[/tex]

[tex]Ratio = 0.864[/tex]

Answer:

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

The area of a rectangle is,

[tex]A=length\times width.[/tex]

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

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Answer: 18 color papers

Step-by-step explanation:

The ratio of color paper to white paper is 3:8 which means that for every 3 color papers there should be 8 white papers.

If there are 48 white papers therefore, you need to use direct proportion to solve for the color papers:

3        :       8

x                48

8x = 144

x = 144 / 8

x = 18 color papers

Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

Arithmetic

Bring all numbers in the parentheses to the third power.

[tex]( { - 5}^{3} \times {4}^{3} )[/tex]

It is easier to not simplify the numbers.

[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]

Don't add the exponents, and multiply the numbers.

The expression (–5 × 4)³ is equivalent to the expression –8000.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (–5 × 4)³

Simplify the expression, we have

⇒ (–5 × 4)³

⇒ (–20)³

⇒ –20³

⇒ –8000

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Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

Answer:

8/23. Sana po makatulong

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

Answer:

a = 118

b = 96

c = 108

Step-by-step explanation:

105 + 25 = 130

130 students

83 = maths ONLY

105 - 83 - 22

22 = maths and science

95 didnt like science

130 - 95 = 35

35 liked science

35 - 22 = 13

13 people liked science ONLY

83 + 22 + 13 = 118

130 - 118 = 12

leaving 12 as the people who like neither

130 - 22 = 108 = people who like 0 or 1 subject (at most one subject)

Answer:

13 pounds

Step-by-step explanation:

volume = base area × height

area of a rectangular triangle = a×b/2

Vp = (2×3/2) × 5 = 3×5 = 15 ft³

weight of contents = 15 × 0.84 = 12.6 pounds = 13 pounds rounded.

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

Answer:

It is a many-to-one function.

Step-by-step explanation:

Answer:

19 measures the median

Step-by-step explanation:

The dot plot is not shown, but the question can still be answered.

We have:

[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]

[tex]n = 8[/tex]

Calculate the median position using:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{8 + 1}{2}th[/tex]

[tex]Median = \frac{9}{2}th[/tex]

[tex]Median = 4.5th[/tex]

4.5th means the median is the mean of the 4th and 5th item.

We have:

[tex]4th = 18[/tex]

[tex]5th = 20[/tex]

So:

[tex]Median = \frac{18 + 20}{2}[/tex]

[tex]Median = \frac{38}{2}[/tex]

[tex]Median = 19[/tex]

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]

Answer:

overdraft fees is your answer

Step-by-step explanation:

Answer:

a and f because they are in the negative-negative quad