What is the y-intercept of the function f(x) = 2 ^x?
A.27
B.2
C. 6
D. 1

Answer:

d. 1/3

Step-by-step explanation:

In the similarity transformation of ABC to ADFE, AABC was dilated by a scale factor of 1/2, the correct option is B.

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\(\rm 1\: ft : \dfrac{s}{k}\: in.\)

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

We are given that;

DF=2, EF=1, DE= under root 5, AB=4, BC=2, AC=2underroot5.

Now,

To find the scale factor of the dilation, we can compare the corresponding sides of the two triangles. For example, DF corresponds to AB, so we can divide their lengths to get:

scale factor = DF / AB

scale factor = 2 / 4

= 1/2

Therefore, the scale factor will be 1/2.

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Answer:

the values of x when f(x) is equal to 0

Step-by-step explanation:

Answer:

If each tile has a number from 0 thru 9 then the possible outcomes for each tile are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Using the concept of parabola, the quadratic inequality represented by the graph can be written as:

y = x² -2x +2.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.

The parabola's fixed point is referred to as the focus, and its fixed line is referred to as the directrix.

The general equation for a parabola is given as:

y = a(x-h) ² + k

Now here we have:

(x,y) = (2,5)

(h,k) = (1,1)

Putting these values in the equation,

5 = a (2-1) ² + 1

a = 5-1

=4

Substituting the values:

y = (x-1) + 1

y = x² -2x +2

Therefore, the quadratic inequality can be written as: y = x² -2x +2.

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Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.

Part 1 of 2:

The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.

To calculate the new cost after 11 years, we can use the formula:

New Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

New Cost = $0.60 * (1 + 3%)^11

        ≈ $0.60 * (1 + 0.03)^11

        ≈ $0.60 * (1.03)^11

        ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.

Part 2 of 2:

If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.

Using the formula:

Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

Final Cost = $0.60 * (1 + 3%)^11

          ≈ $0.60 * (1 + 0.03)^11

          ≈ $0.60 * (1.03)^11

          ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the final cost would also be $0.86.

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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?

The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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The probability of randomly drawing a 10 from the deck is:

P = 1/13

We want to find the probability of randomly drawing a 10 from the deck.

Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.

The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).

It is:

P = 4/52 = 1/13

That is the probability.

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If f is a one-to-one continuous function defined on an interval, then its inverse f−1 is also one-to-one and continuous.

Using corresponding and alternating angle theorem. The values of the angles in the figure are m∠1 = 47, m∠2 = 133, m∠3 = 139, m∠4 = 41, m∠5 = 139 degrees respectively.

The corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

a. m∠1 = m∠7

Reason : Corresponding angles are equal

m∠1 = 47°

b. m∠2 = 180 - m∠1

Reason: Angles on a straight line

m∠2 = 180 - 47

m∠2 = 133°

c. m∠3 = m∠16

Reason : alternating angles are equal

m∠ = 139°

d. m∠4 = 180 - m∠3

Reason : Angles on a straight line

m∠4 = 41°

e. m∠5 = 180 - m∠4

Reason: Angles on a straight line

m∠5 = 139°

n. m∠17 = 180 - m∠6

m∠17 = 41°

f. m∠ 6 = m∠15

m∠15 = m∠17

Reason : Opposite angles are equal

m∠ 6 = m∠ 17

Reason : Alternating angles are equal

m∠ 6 = 41°

g. m∠8 = m∠1

m∠ 8 = 47°

h. m∠ 9 = m∠2

m∠9 = 133°

m. m∠15 = m∠ 17

m ∠ 15 = 41°

o. m∠ 18 = 360 - (m∠15 + m∠16  m∠ 17)

m∠18 = 360 - (41 + 139 + 41)

m∠18 = 139°

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Answer:

This sampling technique is called cluster

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

The population is divided into groups(by stores), and all elements of the groups(all customers at the stores are sampled), which is the characteristic of a cluster sampling.

Answer:

2 × 2 × 2 × 3 × 7

Step-by-step explanation:

Answer:

45/171919*100 = 77363.55

77363.55+171919 =249282.55

thrid one is the answer

Step-by-step explanation:

Answer:

Division

Step-by-step explanation:

You divide f by x and since you have to do the same thing you did to f on the other side you divide zx by x which also cancels out x on both sides. which would leave you with f = z + 7. (I'm sorry if i'm wrong)

Answer: 25 square units

Step-by-step explanation:

We mark the points, A(2,0), B(7,0), C(10,3), D (5,3). on a graph and then joined them to make parallelogram ABCD as provided in the attachment.

Area of parallelogram  = Base x corresponding height

From the figure, base AB = 7 - 2 units = 5 units

corresponding height: h= 5 units

Now , Area of parallelogram  ABCD = base AB x corresponding height

= 5 x 5 square units

= 25 square units

Hence,  the area of parallelogram  ABCD is 25 square units .

Answer:

15 cats

proportion 3x : 5x

in this case x= 5

Step-by-step explanation:

divide 25 by 5

=5

now you know the factor is 5

multiple 3 by 5

=15

9514 1404 393

Answer:

  (c)  P(x) = x^4 +3x^3 -10x^2 -30x

Step-by-step explanation:

If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.

Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...

  P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))

  P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)

  P(x) = x^4 +3x^3 -10x^2 -10x

Answer and Step-By-Step Explanation:

The point shown is marked at (36,82), meaning that the panda is 36 months old and weighs 82 kilograms.  To plot the next point, just go up from 110 on the graph to 90 and mark a point.  (Sorry I tried to put an image but it was extremly blurry.)

Answer:a= 9/2

Step-by-step explanation:

times 3/4 both side

\(\frac{3}{4} (6) = \frac{3}{4} (\frac{4}{3} a)\)

\(\frac{9}{2} =a\)

a= 9/2

Answer:

\(\boxed{\sf \boxed{\sf a=\frac{9}{2}}\:or\:\boxed{\sf a=4.5}}\)

Step-by-step explanation:

\(\sf 6=\cfrac{4}{3}a\)

\(\sf \cfrac{4}{3}\;a=6\)

Multiply both sides by 3:-

\(\sf 3\times\cfrac{4}{3}\; a=6\times\:3\)

Simplify:-

\(\sf 4a=18\)

Divide both sides by 4:-

\(\sf \cfrac{4a}{4}=\cfrac{18}{4}\)

Simplify:-

\(\sf a=\cfrac{9}{2}\)

___________________

Hope this helps!

Have a great day! :)

Answer:

Question 1:

As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.

Question 2:

Question 3:

Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.

1. Draw MON = 81° and bisect it.

2. Draw an angle of measure 175

3. Construct a right angle and then bisect it.

Draw ABC = 162° and divide it into four equal parts.

5. Construct the following angles using a ruler and compass.

120°

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

Answer:

D

Step-by-step explanation:

Got it right edge2021

Answer:

a

Step-by-step explanation:

(-3,-1)

Answer:

These triangles are congruent.

Step-by-step explanation:

These triangles are congruent because they have same length.

hope this helps u!

Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.

A proportion is a fraction of a total amount.

In this problem, the total cost is composed by:

Hence, the total cost is given by:

C = $3.85 x 40 + $99 = $253.

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Answer:

C = $3.85 x 40 + $99 = $253.

Step-by-step explanation:

I took the test

TOYS is a rectangle with diagonals TY and OS intersecting at point J. If angle TYO = 43°, then angle YJS = 68.5°.

Given that TOYS is a rectangle, we know that:

The diagonals TY and OS bisect each other.

The diagonals TY and OS are congruent (equal in length).

Using the information above, we can draw the following interpretation s:

We can see that:

Triangle TYJ is isosceles (because TY = OJ).

Angle TYJ = (1/2) * Angle TYO = (1/2) * 43° = 21.5°

Angle YJS = 90° - 21.5° = 68.5°

So, angle YJS = 68.5°.

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Answer:

A whole number is anything from 0 to infinity.

However, an integer is the same thing but it can also be negative

Step-by-step explanation:

Answer:

78.67

Step-by-step explanation:

The computation of the average for a student is shown below:

= Different Weights × different activities

= (3% × 81) + (9% × 90) + (9% × 92) + (17% × 86) + (17% × 71) + (17% × 93) + (28% × 62)

= 2.43 + 8.1 + 8.28 + 14.62 + 12.07 + 15.81 + 17.36

= 78.67

Hence, the average of the student is 78.67

We simply applied the above formula