I need help

If a car can drive 35 miles on 7 gallons of gas, how many miles can it travel on 2 gallons of gas?

Answer:

b) ∛7

Step-by-step explanation:

If p= 2q^3 - 1, what is the value of q when p is 13

Hence:

13 = 2q³ - 1

We add 1 to both sides

13 + 1 = 2q³ - 1 + 1

14 = 2q³

We divide both sides by 2

14/2 = 2q³/2

7 = q³

q³ = 7

We take the cube root of both sides

∛q³ = ∛7

q = ∛7

Option b is the correct option

The value of x will be equal to 13 degrees.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Angles that are identical to one another are referred to as congruent angles. As a result, these angles have the same measure as one another.

Given that the two congruent angles in an isosceles triangle measure 3X + 10 and 5X - 16.

The value of x will be calculated by equating the two angles.

3X + 10 = 5X - 16.

5X - 3X = 16 + 10

2X = 26

X = 26 / 2 = 13

Therefore, the value of x will be equal to 13 degrees.

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Answer:

nonlinear

Step-by-step explanation:

Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=200000

P x .15 =x (30000)

2x=y (60000)

P + y= (200000+60000) 260000

Answer:

The equation is :

                  [tex]A = 200000 ( 1 + 0.15)^2[/tex]

Step-by-step explanation:

Let population in 2 years be A

Current  population be P = 200,000

Rate of increase, r = 15% = 0.15

Time, t = 2years

Therefore,

            [tex]A= P(1 + r)^t[/tex]

           [tex]A = 200000 ( 1 + 0.15)^2[/tex]

              [tex]=264500[/tex]

Population after 2 years will  be  264,500

Answer:

There are 24 outcomes in the sample space.

Step-by-step explanation:

Suppose that we have some events, such that each one of these events has a given number of outcomes.

If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.

Let's apply this to our case.

Here we have two events:

Rolling a standard number cube: 6 outcomes

Spinning a spinner with 4 equal sections: there are 4 outcomes.

Then the total number of outcomes in the sample space is the product:

C = 6*4 = 24 outcomes.

There are 24 outcomes in the sample space.

Answer:

C

Step-by-step explanation:

Bc

Answer:

C and D

Step-by-step explanation:

Answer:

The ratio of AC : CB is 2 : 3

Step-by-step explanation:

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

Using distance formula, it is found that the ratio of AC : CB is 2 : 3

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   units.

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

AC = √[(2.6 -1)² + (1.8 - 1)²]

AC = √[(1.6 )² + (0.8)²]

AC =  2√(0.8)

Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]

CB = 3√(0.8)

Therefore, the ratio of AC : CB is 2 : 3

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Answer:

no  its not equal

Step-by-step explanation:

the value of Y is 4 please mark the brainliest

Answer:

D

since we know two sides and one angle

hope it helps!

Step-by-step explanation:

Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

The given parameters are:

The above means that:

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

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Answer:

angle E is 15 dgeree

Step-by-step explanation:

hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.

take angle E as reference angle .Then,

opposite=DF = 23 feet

hypotenuse=DE = 90 feet

using sin rule

sin E =opposite/hypotenuse

sin E=23/90

sin E=0.255

E = [tex]sin^{-1} (0.255)[/tex]

E=14.77

E=15 degree

Answer:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro

Answer:

67/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

g = 7

h = 32

(h + 35)/g

Step 2: Evaluate

Answer:

37

Step-by-step explanation:

h+35/g

Let g=7 and h =32

32+35/7

Divide first

32 +5

Then add

37

Answer:

C and D

Step-by-step explanation:

Mathematically, a unit circle is one in which the value of the radius is 1 unit

Generally, for a unit circle we have it that;

r^2 = x^2 + y^2

where (x,y) represents the coordinates of a point on the unit circle

But from above, r = 1

Thus:

x^2 + y^2 = 1

Looking at option C, by squaring each coordinate, we have

(6/7)^2 = 36/49 and the second as 13/49

by adding both, we have

36/49 + 13/49 = 49/49 = 1

Thus, we have this as a coordinate on the unit circle

For the last option;

(5/13)^2 = 25/169 and (12/13)^2 = 144/169

Adding both, we have;

25/169 + 144/169 = 169/169 = 1

So this is also a point on the unit circle

Answer:

4 days

Step-by-step explanation:

The patio takes 4 people 2 days, so that is 4×2. To get this for 2 people, it's 2×4. This means it takes 4 days.

Think about it, for half the people, it should take double the time.

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

Explanation:

Plug in x = 1

f(x) = 17-x^2

f(1) = 17-1^2

f(1) = 17-1

f(1) = 16

Repeat for x = 5 to find that f(5) = -8

Now we'll use the formula below to find the average rate of change from x = a to x = b.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]

The average rate of change is -6

The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.

The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)

Answer:

paint a is cheaper

Step-by-step explanation:

cost price of 1 liter of paint A = 109,95 / 5L

=21.99

cost price of 1 liter of paint B = 599 / 20L

= 29.95

paint A < paint B

Answer:

bye adding it 1000 times = 4560

Step-by-step explanation:

Answer:

3x^4

Step-by-step explanation:

Answer:

495x^10 y^5

Step-by-step explanation:

Answer:

534.002

Step-by-step explanation:

in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since

Answer:

534.002

Step-by-step explanation:

I think

Answer:

a) The equation for the situation = 14.50 = 4.5 + 1.25n

b) The number of oranges she bought = 8 oranges

Step-by-step explanation:

Where n represents the number of oranges.

The equation is written as

Total charge = $0.75 × 6 + $1.25 × n

$14.50 = $0.75 × 6 + $1.25 × n

14.50 = 4.5 + 1.25n

1.25n = 14.5 - 4.5

1.25n = 10

n = 10 / 1.25

n = 8 oranges

Answer:

≈16.22

Step-by-step explanation:

AC-AD=DC

35^2-10^2=1125

√1125=15√5=AC

To find AD, you will need to use the 30, 60, 90 triangle rule.

Because of this rule, AD will be 10√3

15√5-10√3≈16.22