An ice cream cone has a hemispherical top. If the height of the cone is 9 cm and the base radius is 2.1 cm, find the volume of the ice cream in the ice cream cone (Round off)

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

Learn more about Scale Factors here :

https://brainly.com/question/29464385

#SPJ1

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

<95141404393>

Answer:

11.25

Step-by-step explanation:

7+2=9, 9÷\(\frac{4}{5}\)=11.25

Answer:

The number is 11¼.

Step-by-step explanation:

\( \frac{4}{5} \times x - 2 = 7 \\ \frac{4}{5} x - 2 = 7 \\ \frac{4}{5} x = 7 + 2 \\ \frac{4}{5} = 9 \\ \frac{ \frac{4}{5} }{ \frac{4}{5} } x = \frac{9}{ \frac{4}{5} } \\ x = 11 \frac{1}{4} \)

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

We will have the following:

We are given the parabola:

And we can see that it follows:

Now, we will have that the vertex is given by:

From the equation we then have that the vertex is:

Now, we can see that p = 4 since 16 / 4 = 4. Now, we remember that the focus is located p units to the right since it is positive, thus the focus is given by:

So, the focus is at:

Finally we will have that the directrix of the parabola will be given by:

*First, we find the distance between the focus and the vertex, that is:

Now, since the x coordinate of the vertex is 3, then the directrix will pass at 4 units to its left, that is the directrix is given by:

That can be seing in the graph:

*** Summary***

Vertex: (3, -3)

Focus: (7, -3)

Directrix: x = -1

Answer:

The second option

Step-by-step explanation:

The square root of a function could be smaller than 3, so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0. Therefore, the only possible option is the 2nd one.

Also, if you try to evaluate it in x = 0, which is sqrt(0)-3 = -3, the only option that satisfies that would be the second one.

I hope this helped.

The second option is the graph of y = √x-3.

Here, we have,

The square root of a function could be smaller than 3,

so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0.

Therefore, the only possible option is the 2nd one.

The graph of y = √(x) - 3 represents a square root function that is shifted vertically downward by 3 units.

The square root function itself is a curve that starts at the point (0, 0) and gradually increases as x increases.

By subtracting 3 from the square root function, the entire graph is shifted downward by 3 units.

This means that the new y-values of the graph are 3 units less than the corresponding y-values of the square root function.

Also, if you try to evaluate it in x = 0, which is √(0)-3 = -3,

the only option that satisfies that would be the second one.

To learn more on graph click:

brainly.com/question/17267403

#SPJ6

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

learn more on equation here: https://brainly.com/question/14005330

#SPJ1

Answer:

c = 0.63(s)

Step-by-step explanation:

brainliest please<3

Option D is correct,  |40 - x|≤ 0.75 inequality involving absolute value that expresses the relationship between the actual weight x of a bag and 40 pounds and [39.25, 40.75] is the required interval.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that  landscaping company sells 40-pound bags of top soil

x be the actual weight of the bag.

x differ from the advertised weight by as much as 0.75 pound.

We have to find the inequality involving absolute value that expresses the relationship between the actual weight x of a bag and 40 pounds.

|40-x|≤0.75

-0.75≤x-40≤0.75

40-0.75≤x≤40+0.75

39.25≤x≤40.75

Hence, option D is correct,  |40 - x|≤ 0.75 inequality involving absolute value that expresses the relationship between the actual weight x of a bag and 40 pounds and [39.25, 40.75] is the required interval.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ1

Answer:

Each nature of mathematics in my own understanding is written below in complete detail.

Step-by-step explanation:

Now, much more than geometry and arithmetic, mathematics now is a distinct system that compromises with data, computations, and pronouncements from science; with reasoning, inference, and proof; and with mathematical principles of natural appearances, of human response, a system of logical procedures and social systems.

Answer:

By multiplying the number by 1/2, it's the same as dividing the number by 2.

Example:

4 x 1/2 = 2

4 divided by 2 = 2

The answer will be 1 and 1/5

I attached the work in the picture!

Answer:

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = (\(\frac{3+1}{2} , \frac{6+2}{2}\)) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( \(\frac{x+1}{2}, \frac{y+2}{2}\)) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

More can be learned about relative frequencies at brainly.com/question/1809498

#SPJ1

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

19. - 4/11

21. 14

Step-by-step explanation:

Im sorry but i can't solve 20

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

Learn more about hitching trailers here:https://brainly.com/question/4295609

#SPJ1

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

for more such questions on sampling method

https://brainly.com/question/13219833

#SPJ8

Answer:

the answer is 36 x + 41y

happy to help!

Question:

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.

Answer:

 1. the longer frame (B) has the shorter width

 2. the shorter width is 6 3/7 inches, area divided by length

Step-by-step explanation:

The relation between area, length, and width is ...

 A = LW

Then the width is ...

 W = A/L . . . . .  inversely proportional to length

1. Since length and width are inversely proportional (when area is constant), the shorter width will be associated with the longer length. Frame B will have the shorter width.__

2. The width of frame B is ...

 W = A/L = (45 in²)/(7 in) = 45/7 in = 6 3/7 in

-Alan Becker

Answer:

x=3

y=-4

Step-by-step explanation:

\(\left \{ {{y=2x-10} \atop {y=-3x+5}} \right. \\\left \{ {{2x-10=-3x+5} \atop {y=-3x+5}} \right. \\\left \{ {{5x=15} \atop {y=-3x+5}} \right. \\\left \{ {{x=3} \atop {y=-3*3+5}} \right. \\\left \{ {{x=3} \atop {y=-4}} \right.\)

Answer:

SI=P ×R × T

Step-by-step explanation:

P=$500

R=6%

T=3 years

SI=500×3×6 ÷100

  =$90

Answer:

a) 0.513 = 51.3% probability that a randomly selected voter in the town supports the tax increase.

b) 0.487 = 48.7% probability that a randomly selected voter does not support the tax increase.

c) 0.1777 = 17.77% probability he or she is a registered Independent.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

57% of 46%(democrats)

38% of 42%(republicans)

76% of 12%(independents)

So

\(P = 0.57*0.46 + 0.38*0.42 + 0.76*0.12 = 0.513\)

0.513 = 51.3% probability that a randomly selected voter in the town supports the tax increase.

Question b:

1 - 0.513 = 0.487

0.487 = 48.7% probability that a randomly selected voter does not support the tax increase.

c. Suppose you find a voter at random who supports the tax increase. What is the probability he or she is a registered Independent?

Event A: Supports the tax increase.

Event B: Is a independent.

0.513 = 51.3% probability that a randomly selected voter in the town supports the tax increase.

This means that \(P(A) = 0.513\)

Probability it supports a tax increase and is a independent:

76% of 12%, so:

\(P(A \cap B) = 0.76*0.12\)

Thus

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.76*0.12}{0.513} = 0.1777\)

0.1777 = 17.77% probability he or she is a registered Independent.

Answer:

Yes they do :)

(o´▽`o)ﾉ x

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.

Since for the two of the given triangle, the measure of all the corresponding angles is the same. Also, all the corresponding sides are in a common ratio.

9/3 = 12/4 = 15/5 = 3

Therefore, the two of the given triangles are similar triangles.

Hence, the correct option is A.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ1

Step-by-step explanation:

it is not distributive because distributive is distributing a certain number into parentheses or if you have an exponent that would be distributing. it is also not subtraction. i am really sorry i dont know the full answer but i wanted to help as much as i possibly could i felt sad just scrolling by. i hope it helps you have a 50 50 now so i hope this helps

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

Learn more about permutations here: https://brainly.com/question/1216161

#SPJ1

Answer:

3rd choice

Step-by-step explanation:

multiply by 9/5: F=9/5 C

then add 32: F = 9/5C +32

Answer:

We conclude that the mean cost-to-charge ratio for Oregon hospitals is lower for outpatient care than for inpatient care.

Step-by-step explanation:W

We are given with the cost-to-charge ratios for both inpatient and outpatient care in 2002 for a sample of six hospitals in Oregon below;

Hospital       2002 Inpatient Ratio         2002 Outpatient Ratio

    1                           68                                            54

    2                          100                                           75

    3                           71                                             53

    4                           74                                            56

    5                          100                                           74

    6                           83                                            71

Let \(\mu_1\) = mean cost-to-charge ratio for outpatient care

\(\mu_2\) = mean cost-to-charge ratio for impatient care.

SO, Null Hypothesis, \(H_0\) : \(\mu_1 \geq \mu_2\)     {means that the mean cost-to-charge ratio for Oregon hospitals is higher or equal for outpatient care than for inpatient care}

Alternate Hypothesis, \(H_A\) : \(\mu_1 < \mu_2\)     {means that the mean cost-to-charge ratio for Oregon hospitals is lower for outpatient care than for inpatient care}

The test statistics that would be used here is Two-sample t-test statistics because we don't know about population standard deviations;

                         T.S. =  \(\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }\)  ~ \(t__n__1_+_n_2_-_2\)

where, \(\bar X_1\) = sample mean cost-to-charge Outpatient Ratio = \(\frac{\sum X_1}{n_1}\) = 63.83

\(\bar X_2\) = sample mean cost-to-charge Impatient Ratio = \(\frac{\sum X_2}{n_2}\) = 82.67

\(s_1\) = sample standard deviation for Outpatient Ratio = \(\sqrt{\frac{\sum (X_1-\bar X_1 )^{2} }{n_1-1} }\) = 10.53

\(s_2\) = sample standard deviation for Impatient Ratio = \(\sqrt{\frac{\sum (X_2-\bar X_2 )^{2} }{n_2-1} }\) = 14.33

\(n_1\) = sample of hospital for outpatient care = 6

\(n_2\) = sample of hospital for outpatient care = 6

Also, \(s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }\) =  \(\sqrt{\frac{(6-1)\times 10.53^{2}+(6-1)\times 14.33^{2} }{6+6-2} }\) = 12.574

So, the test statistics  =  \(\frac{(63.83-82.67)-(0)}{12.574 \times \sqrt{\frac{1}{6}+\frac{1}{6} } }\)  ~ \(t_1_0\)

                                     =  -2.595

The value of t test statistics is -2.595.

Now, at 5% significance level, the t table gives critical value of -1.812 at 10 degree of freedom for left-tailed test.

Since, our test statistics is less than the critical value of t as -2.595 < -1.812, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean cost-to-charge ratio for Oregon hospitals is lower for outpatient care than for inpatient care.