100 points
Given log34≈1.262 and log37≈1.771, what is the value of log3(7 / 16)?
Use three decimal places
log3(7 / 16) =

Answer:

B.    4.5 mi.

Step-by-step explanation:

Let g = length of green route

     b = length of blue route

(1)    6g + 5b = 52            (2)      12g + 13b = 119

Mult. (1) by -2                             -12g - 10b = -104

                                                             3b = 15

                                                                b = 5

       6g + 5(5) = 52

         6g + 25 = 52

         6g = 27

           g = 27/6 = 9/2

The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:

6a + 5b = 52   ---- (1)

On Tuesday the bus traveled:

12a + 13b = 119  ----- (2)

Now, solve the equation (1) for 'a'.

a = (52 - 5b) /6     ------ (3)

Now, put the value of 'a' in equation (2).

12 (52 - 5b) / 6 + 13b = 119

b = 5 m

Now, put the value of b in equation (1).

6a + 5b = 52  

a = 4.5 m

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Answer:

Step-by-step explanation: 7,400,000/5.4%=13,703.7

grows by 13,703.7 every 4 years

7+7

Answer:

yes

The equation is correct :)

Step-by-step explanation:

Answer:

A = 65, B = 75

Step-by-step explanation:

x + x + 10 + 40 = 180

2x + 50 = 180

2x= 130

x = 65

Answer:

∠A = 65°

∠B = 75°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".

x + x + 10 + 40 = 180

2x + 50 = 180

2x = 130

x = 65

Now, we replace "x" with 65 to get ∠A and ∠B.

∠A = x = 65°

∠B = x + 10 = 65 + 10 = 75°

Answer: x=4

Step-by-step explanation:

firstly you solve the barracks first by multipy 2 into ( x+8) after that you collect like terms on one side of the equation or make x become the subject of the equation and solve for x

Answer:

106°

Step-by-step explanation:

By exterior angle theorem:

[tex]m \angle \: 1 = 62 \degree + 44 \degree \\ \\ m \angle \: 1 = 106 \degree[/tex]

Step-by-step explanation:

Let the unknown angle in the triangle be x.

x + 44 + 62 = 180(sum of angles in a triangle)

x + 106 = 180

x = 180 - 106

x = 74

Angle 1 + x = 180 (Sum of angles on the same straight line)

angle 1 + 74 = 180

Angle 1 = 180 - 74

= 106

Answer:

Horizontal

Step-by-step explanation:

The mathematical definition of slope is very similar to our everyday one. In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Answer:

21 days

Step-by-step explanation:

February has 28 days

28/4=7

1 quarter of 28 is 7

Since one quarter was above freezing, 3 were below freezing

3x7=21

21 days is the final answer

Answer:

21 days

Step-by-step explanation:

There are 28 days in February.

If one quarter of the days had a temperature above freezing, that means that three quarters of the days had a temperature below freezing.

Find how many days were below freezing by multiplying 28 by 3/4

28(3/4)

= 21

So, 21 days in February were below freezing.

Answer:

Step-by-step explanation:jhbhbhjvjhvkhvmvghv

1. Even

2. Odd

3. Even

4. Odd

5. Odd

6. Even

7. Odd

8. Odd

9. Even

10. Even

Answer:

2.257

Step-by-step explanation:

Answer:

−3430000

Step-by-step explanation:

Mark as brainllest

Answer:

Total bill will be BD 33.600

Step-by-step explanation:

28 multiplied by 20% = 5.6

Add 5.60 to the cost

28.00 + 5.60 = 33.600

hope this helps and is right. p.s. i really need brainliest :)

Answer:

2.9

Step-by-step explanation:

if you need me to explain just comment!

I hope i was able to help!!!!!

Answer: 3m

Step-by-step explanation:

c = 2[tex]\pi[/tex]r

18.84 = 2 x 3.14r

18.84 = 6.28 r

r = 3

Answer:

...

Step-by-step explanation:

the coefficients are 4, 7, 4, 6

12 mols of h20 will be produced

Answer:

25 cupcakes

Step-by-step explanation:

set up a proportion then cross-multiply:

3/15 = 5/c

3c = 75

c = 25

Answer:

25 cupcakes

Step-by-step explanation:

1. What is the ratio?

3 cups of flour to 15 cupcakes (3:15)

2. Quotient

What is the quotient of 15 and 3? 5

3. 5 x 5

25

Answer: 25 cupcakes

Answer:

uh i think its a uhhh carrotttt

Step-by-step explanation:

Answer:

V≈2143.03cm³

Step-by-step explanation:

The volume of the sphere is 2143.57 cm³.

A = 4 × π × r², where 'r' is the radius of the sphere.

V = (4/3) × π × r³

For given example,

a surface area of the sphere is 803.84 cm^2.

⇒ A = 803.84 cm²

Using the formula of the surface area of the sphere,

⇒ 4πr² = 803.84

⇒ r² = 64

⇒ r = 8 cm

Using the formula of the volume of the sphere,

⇒ V = (4/3) × π × r³

⇒ V = (4/3) × 3.14 × 8³

⇒ V = 2143.57 cm³

Therefore, the volume of the sphere is 2143.57 cm³.

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Answer:

180

Step-by-step explanation:

Answer:

117 ft³

Step-by-step explanation:

The tent is composed of a cuboid and a triangular prism

V ( cuboid) = 6 × 8 × 2 = 96 ft³

V(prism) = Ah ( A is the area of triangle and h is length )

              = [tex]\frac{1}{2}[/tex] × 6 × (5.5 - 2) × 2

              = 3 × 3.5 × 2

              = 21 ft³

Total volume = 96 + 21 = 117 ft³

Answer:

x-intercept = 3

y-intercept = -2

Step-by-step explanation:

P.S - The exact question is -

Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.

Proof -

By using the given information , we get

g(x) = [tex]\frac{2}{3} x - 2[/tex]

g(0) = 0 - 2 = -2

It also satisfy the condition g(0) = -2

Here,

by comparing with general form of slope-intercept form y = mx + c

where m = slope, c = y-intercept

Slope, m = [tex]\frac{2}{3}[/tex]

For x-intercept,

Put y = 0

⇒[tex]\frac{2}{3} x - 2[/tex] = 0

⇒[tex]\frac{2}{3}x = 2[/tex]

⇒x = 3

So,

x-intercept = 3

For y-intercept,

Put x = 0

⇒y = 0 - 2

⇒y = 2

∴

y-intercept = -2

Subtract 1/6 from 6/7

First rewrite the fractions to have a common denominator:

6/7 = 36/42

1/6= 7/42

Now you have 36/42 - 7/42 = 29/42

The pool is 29/42 full

The grade you receive on a test is a discrete random variable with probability mass function

[tex]f_X(x)=P(X=x)=\begin{cases}0.4&\text{for }X=4\text{ (i.e. scoring an A)}\\0.2&\text{for }X=3\text{ (B)}\\0.15&\text{for }X=2\text{ (C)}\\0.25&\text{for }X=1\text{ (D)}\\0&\text{otherwise}\end{cases}[/tex]

where the probability of getting a D is 25% because there are only 4 possible grades, and the probabilities must sum to 1 :

0.4 + 0.2 + 0.15 + 0.25 = 1

The expected test score/GPA is then

[tex]\displaystyle\sum_x x\,f_X(x)=\sum_{x=1}^4 x\,P(X=x)=1\cdot0.25+2\cdot0.15+3\cdot0.2+4\cdot0.4=\boxed{2.75}[/tex]

so your average would fall between a B and a C.

Answer: Picture with answer below:

Step-by-step explanation:

Answer: 891ft

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation: took it on times4learning math assignment