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3 years ago

The blue dot is at what value on the number line? 8 12

Mathematics

2 answers:

belka [17]3 years ago

8 0

Answer:

20.

Step-by-step explanation: hope this helps

Reptile [31]3 years ago

7 0

8 and 12 are separated by 1 line, and they have a difference of 4 units, so..

count every two lines and add 4 units

this means that the blue dot is 20

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Brandon has a budget of $58 to spend on clothes. The shirts he want to buy are on sale $9 each, and a pair of pants he wants cos

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Find x May I please receive help?

NikAS [45]

Answer:

x = 63°

Step-by-step explanation:

See the attachment

The measure of the angles in a triangle = 180 . If the sides of a triangle are congruent, then the base angles are equal. So in the triangle with the 72°, you have another angles = 72°. Looking at the same triangle, 72° + 72° + part of the right angle = 180°. Do the math! 72° + 72° = 140°; 180° -144° = 36° (this is the measure of the piece of the right angle that is in the triangle with the 72° angle.. So the other part of the 90°(right angle) = 90° - 36° = 54°.

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Download docx

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3 years ago

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Your grandmother always has a jar of cookies on her counter. One day while you are visiting, you eat 5 cookies from the jar. In

stepan [7]

Answer:

b - 5 = c

Step-by-step explanation:

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3 years ago

The volume of a sphere is decreasing at a constant rate of 116 cubic centimeters per second. At the instant when the volume of t

nirvana33 [79]

Answer:

$\frac{dr}{dt} = -1.325 \ cm/s$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Taking Derivatives with respect to time

Step-by-step explanation:

Step 1: Define

Given:

$V = \frac{4}{3} \pi r^3$

$\frac{dV}{dt} = -116 \ cm^3/s$

$V = 77 \ cm^3$

Step 2: Solve for r

Substitute: $77 = \frac{4}{3} \pi r^3$
Isolate r term: $\frac{77}{\frac{4}{3} \pi} = r^3$
Isolate r: $\sqrt[3]{\frac{77}{\frac{4}{3} \pi}} = r$
Evaluate: $2.63917 = r$
Rewrite: $r = 2.63917 \ cm$

Step 3: Differentiate

Differentiate the Volume Formula with respect to time t.

Define: $V = \frac{4}{3} \pi r^3$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = \frac{4}{3} \pi \cdot 3 \cdot r^{3-1} \cdot \frac{dr}{dt}$
Simplify: $\frac{dV}{dt} = 4 \pi r^2 \cdot \frac{dr}{dt}$

Step 4: Find radius rate

Substitute in variables: $-116 \ cm^3/sec = 4 \pi (2.63917 \ cm)^2 \cdot \frac{dr}{dt}$
Isolate dr/dt rate: $\frac{-116 \ cm^3/s}{4 \pi (2.63917 \ cm)^2} = \frac{dr}{dt}$
Evaluate: $-1.3253 \ cm/s = \frac{dr}{dt}$
Rewrite: $\frac{dr}{dt} = -1.3253 \ cm/s$
Round: $\frac{dr}{dt} = -1.325 \ cm/s$

Our radius is decreasing at a rate of -1.325 cm per second.

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3 years ago