answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andre [41]
2 years ago
13

Evaluate the function rule for the given value. y = 6 · 2^x for x = -2

Mathematics
1 answer:
strojnjashka [21]2 years ago
8 0

Answer:

A

Step-by-step explanation:

To evaluate, substitute x= -2 into the equation y = 6*2^x.

y = 6*2^2\\y = 6*2^(-2)\\y = 6*\frac{1}{4}\\y = \frac{3}{2}

You might be interested in
Leah has The flowers shown she wants to put them in 4 vases with the same number in each case how many flowers does she need to
dsp73

Answer:

The solution is obtained by dividing the number of flowers by the number of vases.

Step-by-step explanation:

The story problem is very straightforward. Normally, you need to read the problem and understand it.

Let's look at the question again.

Although we do not have all the quantities, we can still show how to solve the problem.

Let x be the total  number of flowers.

There are 4 vases.

Therefore, the number of flowers in each vase will be:

x/4

Flow the same rule for similar problems.

5 0
2 years ago
Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
2 years ago
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
iren [92.7K]

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

3 0
2 years ago
Sam painted 3 pictures.ellie painted twice as many pictures as Sam how many pictures did they paint altogether
zepelin [54]
Sam painted 3
ellie painted 2x3, so she painted 6
6+3=9
together they painted 9 pictures
3 0
2 years ago
Read 2 more answers
a coin must have diameter of 27.13 millimeters.To the nearest hundredth, what is the circumference of this coin millimeters
Bas_tet [7]
To find the circumference, you will use the formula for finding circumference of a circle.

I used the true value of pi for the calculations.

C = pi x d
pi x 27.13
C = 85.77mm

4 0
2 years ago
Other questions:
  • Why does 0.25 x 0.4 only has one decimal point in the product?
    7·2 answers
  • A 14 foot ladder makes a 62° angle with the ground. To the nearest foot,how far up the house does the ladder reach?
    8·1 answer
  • An oil tank is being filled at a constant rate the depth of the oil is a function of the number of minutes has been filling, as
    8·1 answer
  • In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the
    11·1 answer
  • Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6
    10·2 answers
  • The variables A, B, and C represent polynomials where A=x^2, B=3x+2, and C=x-3. What is AB-C^2 in simplest form?
    9·2 answers
  • Tanya kicks a ball into the air. The function that models this scenario is f(t)=-16t^2 +96t, where h is the height of the ball i
    5·1 answer
  • What is the slope of a line perpendicular to the line whose equation is 3x-12y=2163x−12y=216.
    9·2 answers
  • The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks, Priya obtains 46 marks, and No
    13·1 answer
  • If 8.51÷2.3=3.7,find the value of 85.1÷2.3<br>​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!