A student uses the ratio of 4 oranges to 6 fluid ounces to
find the number of oranges needed to make 24 fluid
ounces of juice. The student writes this proportion:
4 24
616
Explain the error in the student's work.

Answer:

h≈2.65cm

r Radius

3

cm

V Volume

75

cm³

Using the formula

V=πr2h

Solving forh

h=V

πr2=75

π·32≈2.65258cm

hope it's help ful

Answer:

The interval that contains the middle 68% of the heights is between 59 and 67 inches.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 63, standard deviation of 4.

The interval that contains the middle 68% of the heights.

By the Empirical rule, within 1 standard deviation of the mean. So

63 - 4 = 59

63 + 4 = 67

The interval that contains the middle 68% of the heights is between 59 and 67 inches.

Answer: this is a continuation starting in number 4 (use the same steps as example 3)

Step-by-step explanation:

-12

45

-12

14

32

-2

5

Answer:

[tex]150[/tex] cubic centimeters

Step-by-step explanation:

Volume for triangular prism is  [tex]V=\frac{1}{2} bhl[/tex]

[tex]V=\frac{1}{2}(6)(5)(10)[/tex]

[tex]V=\frac{1}{2} (300)[/tex]

[tex]V=150[/tex]

Hope this helps

Answer:

150 cubic centimeters

Step-by-step explanation:

The formula for the volume of a Triangular prism:

A=1/2*b*h*l

plug everything in

1/2*6*5*10=150 Cubic centimeters

Answer:

Yes,

Step-by-step explanation:

When " :) " is used in a bio it means the person is happy

Answer:

D. {-8, -5, 3, 7}

Step-by-step explanation:

__________

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B =  opposite (12)/hypotenuse (13)

          = 12/13

Cosine B = adjacent/hypotenuse

               = 5/13

Tangent B = opposite/adjacent

                 = 12/5

Here is a picture that can always help you with the three trig ratios.

Answer:

25m²

Step-by-step explanation:

it might be helpful for you

asking how many combinations are possible is answered by the following expression:

[tex]14 \times 12 \times 7 \times 6[/tex]

the first step alone offers 14 choices, the second step offers 12 choices. so with these two choices alone there can be 168 different scenarios to choose one from. we just need to keep multiplying for the number of choices we got at each decision to get the number of possible outcomes/configurations

that is

7056

6272 is the answer.

By the fundamental principle of counting, there are

8 * 8 * 7 * 14 = 6272 schedules possible

6272

In the above problem, we use the basic principle of counting to get the result. The principle of multiplication is that if event A can occur in different ways of x and another event B can occur in different ways of y, then there is an x ​​× y way in which both events occur at the same time. is showing. If

events occur in different ways in m, followed by other events in different ways in n, the total number of events in the specified order is m × n. The basic principle of multiplication.

counts helps you make your choice based on the available choices. ..

Learn more about  fundamental principle of counting here:https://brainly.com/question/10275154

#SPJ2

Answer:

option C

Step-by-step explanation:

[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]

[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]

Answer:

Option C

Step-by-step explanation:

Quadratic formula:

[tex]4c^{2} +7c-5=0[/tex]

[tex]a=4\\b=7\\x=-5[/tex]

[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]

[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]

[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]

hope this helps....

Answer:fafdafadfaf

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

if |x| is 3 then x is either -3 or 3. Either way, the distance from 0 is 3.

Hole this helps! :)

Answer:

1.4. The interest Tito should pay would be R10000 * 12% = R1200 for his first year.

1.1.5. The total amount Tito must pay back after 4 years would be R10000 * (1 + 12%)^4 = R10000 * 1.57351936 = R15735.2 (cor. to 1 d. p.).

1.1.6. People loan money from banks due to financial troubles or to attain startup resources for a company or business venture.

Step-by-step explanation:

Hope this helped!

Answer:

4800

Explanation:

interest=principle × rate × time/100

interest=10000 ×12 × 4/100

interest= 480000/100

interest=4800

amount=interest+principle

amount=4800+10000

amount=14800

people loan money from banks because they need money at a particular point in time where they do not have it

Answer:

Step-by-step explanation:

- 2 ( 8 - 5 ) = ( - 2 x 8 ) - ( - 2 x 5)

                = - 16 - ( - 10)

                = - 16 + 10

                = - 6

Answer:

Step-by-step explanation:

[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]

Answer:

$6.65

Step-by-step explanation:

You could start by seeing the price of a 1 minute phone call. if you divide 1.75 by 5 it is 0.35. that means 1 minute costs $0.35. so the equation would be 0.35 times 19. which is 6.65 dollars.

5 minutes call = $1.75

1 minute call = $1.75/5 = $0.35

19 minutes call = $0.35 × 19 = $6.65

Answer:

x= -0.182 and +4

hope it helps

have a nice day

Answer:

61.2%

Step-by-step explanation:

because i just did it and got it right

Answer:

15

Problem:

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Step-by-step explanation:

First we find 3*5 using rule a*b = 2ab - 3b.

3*5=2(3)(5)-3(5)

3*5=30-15

3*5=15

Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.

2*15=2(2)(15)-3(15)

2*15=60-45

2*15=15

Therefore, 2*(3*5)=15.

Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

Answer:

The probability is:

P = 0.375

Step-by-step explanation:

First, we need to find the total number of four-digit numbers that can be made with the digits 0-8, such that the first digit can not be zero.

To do this, we first need to find the number of selections that we have, in this case, there are 4, one for each digit in our 4-digit number.

Now let's count the number of options that we have for each one of these selections:

first digit: we have 8 options (because the 0 can not be here)

second digit: we have 9 options (because now the zero can be taken)

third digit: we have 9 options

fourth digit: we have 9 options.

The total number of combinations is equal to the product of all the numbers of options, this is:

C = 8*9*9*9 = 5,832

Now we need to find how many of these are less or equal than 4000.

So now let's count the options again:

first digit: 3 options {1, 2, 3}

second digit: 9 options

third digit: 9 option

fourth digit: 9 options

Total number of combinations:

C' = 3*9*9*9 = 2,187

Here we should also count the combination for the number 4000 itself, as it was not counted in our previous calculation, then we have:

C' = 2,187 + 1 = 2,188 combinations.

The probability of randomly choosing a number that is smaller than or equal to 4000 will be equal to the quotient between the number of combinations that are smaller than or equal to 4000 (2,188 combinations) and the total number of combinations (5,832)

this is:

P = 2,188/5,832 = 0.375

9514 1404 393

Answer:

  a, c

Step-by-step explanation:

There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.

The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.

In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).

The function is negative on intervals (a) and (c).

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

Answer:

Im sorry I can't understand you

Answer: A≈1790.71

Step-by-step explanation:

Answer:

1790.71

Step-by-step explanation:

You can just put this problem in search and it will you the answer

Answer:

B.

C.

E.

F.

Step-by-step explanation:

A. no. any log(x) function is increasing. it says to what power I have to put the base to get x. and the bigger x, the bigger also that power number has to be. a log(x) increases much slower than x itself, but it increases.

B. any log(x) can only be calculated for positive x (and not 0).

C. of course. there are no gaps or breaks in a log(x) function. over time, with a growing x, we have to cover every possible y.

D. no. since (0,4) means x=0, this can't be true. as log(0) is power definition undefined (representing minus infinity).

E. yes. see A.

F. yes. for x=1 any log(x) function has to deliver 0 as functional value (to what power do I have to put my base to get 1 ? only base⁰ delivers 1. also 0.725⁰ = 1. therefore, (1,0) is a valid point on the graph.

The value of constant of variation "k" is

Solution:

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1

Thus the value of constant of variation "k" is k = 8/5 or 1.6

I hope this is correct and helps!

Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125