a banana bread recipe needs a 2/3 cup of sugar and 1 1/2 cups of flour and some other ingredients. a)  how much sugar and flour are needed to make half the amount in the recipe? b) how many total cups of sugar and flour do you have? answer as a mixed number.

The exponential function g(x) can be written as g(x) = a ⋅ b^x, where a and b are constants. The table represents the values of x and g(x).

To complete the equation for g(x), we need to find the values of a and b based on the given table. From the table, we can observe that when x = 0, g(x) = 1, and when x = 1, g(x) = 2. Substituting these values into the equation g(x) = a ⋅ b^x, we get:

1 = a ⋅ b^0

2 = a ⋅ b^1

The first equation simplifies to a = 1, since any number raised to the power of 0 is equal to 1. Plugging this value into the second equation, we have:

2 = 1 ⋅ b^1

2 = b

Therefore, the completed equation for g(x) is g(x) = 1 ⋅ 2^x, or simply g(x) = 2^x. This means that the exponential function g(x) is equal to 2 raised to the power of x.

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Answer:

C. 720

Step-by-step explanation:

10 - 3 is 8 so you multiply all the numbers from 10 through 8

10 * 9 * 8 = 720

That is the answer. Hope it helped!

Answer:

C: 720

Step-by-step explanation:

i got 100% on the quiz

The ratio is 1/1.5 so just pick the answers where the first number multiplied by 1.5 is equal to the second number.

For example the first option says 2 and 3.

2 times 1.5 is equal 3 so that is one of the answers.

If an option says 4 and 5, 4 times 1.5 is 6 not 5 so that wouldn't be an answer.

Answer:

c = 1

Step-by-step explanation:

"10 is 8% of a":     0.08a = 10, or a = (10/0.08)

"5 is 4% of b":      0.04b =  5, or b = (5/0.04)

"c equals b/a":       c = (b/a)

----

What is the value of c?

c = (b/a)

c = ((5/0.04)/(10/0.08))

c = (5/0.04)*(0.08/10)

c = (5/10)*(0.08/0.04)

c = (1/2)*(2)

c = 1

Answer:

Terrell has 5 tickets left.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

8 is 1/4 of 32

so the rest of the students are 3/4 of the class

3/4 is equal to 75%

Answer:

3/4 x 2/5 => NO

2/5 x 5/6 => NO

1/10 x 1/5 => NO

1/2 x 3/5 => YES

Step-by-step explanation:

3/4 x 2/5 = 6/20 => NO

2/5 x 5/6 = 10/30 => NO

1/10 x 1/5 = 1/50 => NO

1/2 x 3/5 = 3/10 -> YES

Answer:

no its not a function

Step-by-step explanation:

because the lines on the graph are not equal\in a straight line(the puppy is not gaining the same amount each week)

Answer:

Step-by-step explanation:

hello : here is an solution

Yes , the confidence interval still valid because the sample size is large ( n = 100 is greater than 30 ).

Given :

Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .

if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid .

Here

sample size n = 100

The sample size is a term used in market research for defining the number of subjects included in a sample size.

here

n > 30

Hence the confidence interval is still valid .

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Full question:

Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .

if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?

Answer:

LN = 15 in

Step-by-step explanation:

We can say that arc PL plus arc LM is equal to arc PM:

arcPL + arcLM = arcPM

We can substitute what we have:

10 + 14 = arcPM

arcPM = 24.

Since both arcPM and arcLN equal 24, we can say they are congruent.

In circles, congruent arcs create congruent chords, so, we can say PM = LN.

Since PM is 15, LN = 15 in

Answer:

if your gonna log in to brainly don't post dumb stuff like this, post school related questions, cuz brainly is used for helping kids learn more, get better grades, and pass. its not used for trying to find a girlfriend its used for egication to help people pass school. so DONT post this kind of stuff ok.

Step-by-step explanation:

The number of random samples, obtained using the formula for combination are 230,300 random samples

A random sample is a subset of the population, such that each member of the subset have the same chance of being selected.

The formula for combinations indicates that we get;

nCr = n!/(r!*(n - r)!), where;

n = The size of the population

r = The sample size

The number of different simple random samples of size 4 that can be obtained from a population of size 50 therefore can be obtained using the above equation by plugging in r = 4, and n = 50, therefore, we get;

nCr = 50!/(4!*(50 - 4)!) = 230300

The number of different ways and therefore, the number of random samples of size 4 that can be selected from a population of 50 therefore is 230,300 random samples.

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The system of equations is:

-2 = a + b + c

7 = 4a - 2b +c

-2 = 25a + 5b + c

The polynomial is:

y = (1/3)*x^2 - 6x - 1/3

The general polynomial of degree 2 can be written as:

y = a*x^2 + b*x +c

If we use the fact that it passes through the 3 given points, then we can write the 3 equations:

-2 = a*1^2+ b*1 + c

7 = a*(-2)^2 + b*-2 + c

-2 = a*5^2 + b*5 + c

We can simplify these to get the system of equations:

-2 = a + b + c

7 = 4a - 2b +c

-2 = 25a + 5b + c

First, isolate c on the first equation to get:

c = -2 - a- b

Replace it on the other two:

7 = 4a - 2b + (-2 - a - b)

-2 = 25a + 5b + (-2 - a - b)

9 = 3a - 3b

0 = 24a + 4b

Using the second equation we can rewrite:

-24a = 4b

-24a/4 = b

-6a = b

Ande replace that in the other equation:

9 = 3a - 3*(-6a)

9 = 3a + 18a

9/21 = a

1/3 = a

And the value of b is:

-6*(1/3) = b

-2 = b

And the value of c is:

c = -2 - (-2) - 1/3

c = -1/3

The polynomial is:

y = (1/3)*x^2 - 6x - 1/3

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Answer:

I think #5 is c.

Step-by-step explanation:

because it says 50% without decimal and it's doesn't equal to 1/2%

Answer:

Q6 b. 70

Step-by-step explanation:

Change 20% to decimal so it will be 20/100=0.2

350/0.2=70

The value of the angle A from the calculation is 27 degrees.

The solving of a triangle refers to the process of finding the unknown sides, angles, or other measurements of a triangle based on the given information. The given information can include known side lengths, angle measures, or a combination of both.

The process of solving a triangle typically involves using various geometric properties, trigonometric functions, and triangle-solving techniques such as the Law of Sines, Law of Cosines, and the Pythagorean theorem.

Using the cosine rule;

\(a^2 = b^2 + c^2 - 2bcCos A\\7^2 = 12^2 + 15^2 - (2 * 12 * 15)Cos A\)

49 = 144 + 225 - 360CosA

49 - (144 + 225) = - 360 CosA

A = Cos-1[49 - (144 + 225) /-360]

A = 27 degrees

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Answer: The answer is 226.2

Step-by-step explanation: I got the answer from this website, its basically a volume calculator for any shape. https://www.omnicalculator.com/math/cylinder-volume

The answer to the question probability of randomly selected person has a blood pressure of 182.6 mmHg is 0.0088.

What is standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.

The mean blood pressure for people in china is 128 mmHg.

The standard deviation of 23 mmHg.

For blood pressure of 182.6 mmHg

=p(x> 182.6)

=p(z> 182.6-128/23)

=p(z> 2.37)

=0.0088

Hence the probability of a randomly selected person has a blood pressure of 182.6 mmHg is 0.0088.

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\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

|x−3|+2=−3|x-3|+2=-3

Move all terms not containing |x−3||x-3| to the right side of the equation.

|x−3|=−5

Remove the absolute value term. This creates a ±± on the right side of the equation because |x|=±x|x|=±x.

x−3=±(−5)

Set up the positive portion of the ± solution.

x−3=−5

Move all terms not containing x to the right side of the equation.

x= −2

Set up the negative portion of the ± solution.

x−3 =5

Move all terms not containing x to the right side of the equation.

x=8

The solution to the equation includes both the positive and negative portions of the solution.

x=−2, 8

Answer:

The bag contains $2.39

Explanation 40% of 50 coins is 20 dimes which equals 2 dollars

8 percent is 4 pennies

2.00+ .04 is 2.04

Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35

2.04+.35= 2.39

The solutions converge to the function:```\(y = (1/3)t^2 + 162\)
```Thus, the solutions behave like a quadratic function as `t` approaches infinity.

The differential equation is: `9y′+y=3t^2`

To find the general solution of the differential equation, first solve for the complementary function by setting \(9y'+ y = 0 :`9y'+y=0`\)

The auxiliary equation is: `9m+1=0`

Therefore, `m = (-1/9)`

The complementary function is:`\(y_c = c_1 e^{-t/9}\))`

For the particular integral, use the method of undetermined coefficients:

Let `\(y_p = at^2 + bt + c\)`where `a`, `b` and `c` are constants.

Substituting `y_p` into the differential equation:`\(9y'+y=3t^2\)`

Differentiate `y_p`:`y_p′=2at+b`

Differentiate `y_p′`:`y_p′′=2a`

Substituting these values into the differential equation:```
\(9(2a) + (at^2 + bt + c) = 3t^2\)
```Simplifying:```
\(at^2 + bt - 18a + c = 0\)
```Comparing coefficients with `3t^2`, we get `a = 1/3`.

Comparing coefficients with `t`, we get `b = 0`.

Comparing constants, we get `c = 162`.

Therefore, the particular integral is:`\(y_p = (1/3)t^2 + 162\)`

Hence, the general solution is:`y = y_c + y_p`

Substituting `y_c` and `y_p` into `y`:```
\(y = c_1e^{(-t/9)} + (1/3)t^2 + 162\)
```Now, to determine how the solutions behave as `t` approaches infinity, observe that `e^(-t/9)` approaches `0` as `t` approaches infinity.

Hence, the solutions converge to the function:```
\(y = (1/3)t^2 + 162\)
```Thus, the solutions behave like a quadratic function as `t` approaches infinity.

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Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

You will have $150 in your bank​ account in 2.90 weeks.

It is required to find how many weeks.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

The given equation is

b=60+​(10+9​)w

b=balance in bank,

w=week number

.

b=$60+($10+$9)w

b=$60+$19w

b-$60=$19w

(b-$60)/$19=w

.

($150-$60)/$31=w

$90/$31=w

2.90=w

Therefore, ​ you will have $150 in your bank​ account in 2.90 weeks.

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The coordinates of the final image of the triangle after the transformations are S'(5, -1), R'(5, -4), and T'(3, -4).

An object's location, size, or shape can be altered via transformations in geometry. Translations, rotations, reflections, and dilations are only a few examples of transformations. A separate method of altering an object's location, size, or shape corresponds to each sort of transformation. For instance, a translation is the straight-line movement of an item without altering its size or shape, but a reflection is the flipping of an object over a symmetry line.

The coordinates of the triangle are S(-4, 4), R(-4, 1) and T (-2, 1).

For the given transformations the new coordinates are:

S(-4, 4) translates to (-4-1, 4-5) = (-5, -1) and reflects to (5, -1)

R(-4, 1) translates to (-4-1, 1-5) = (-5, -4) and reflects to (5, -4)

T(-2, 1) translates to (-2-1, 1-5) = (-3, -4) and reflects to (3, -4)

Hence, the coordinates of the final image of the triangle after the transformations are S'(5, -1), R'(5, -4), and T'(3, -4).

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Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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