Your mom has sent you to buy a new suit, and will let you get new shoes too if you keep it under $200. The suit you want to buy is $230. If you are getting 20% off the price, will you get the shoes?


Not enough information.


The cost will be exactly $200.


No, the suit will cost more than $200.


Yes, the suit will cost less than $200.

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

The dimensions are given in the attached picture.

Find the slant height L first:

Total surface area of the frustum:

Find the height H of the pyramid using similar triangles.

The big triangle (sides H and 5) is similar to smaller one (sides 2 and 4.8) per AA similarity.

The ratio of corresponding sides:

Answer:

dm me for help

Step-by-step explanation:

Answer: The grade of the hill = 50%

Step-by-step explanation:

The grade is the slope( expressed as a percent). To evaluate the slope we divide the rise by the run.

Given: A hill on a hiking trail goes up to 69 feet over a distance of 138 feet.

So, rise= 69 feet   , run = 138 feet.

The grade of the hill = \(\dfrac{rise}{run}\times100\)

\(=\dfrac{69}{138}\times100=50\%\)

Hence, the grade of the hill = 50%

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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Answer:

Step-by-step explanation:

3x=-15

x=-5

Answer:

-5

Step-by-step explanation:

The directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector u = ⟨cosθ, sinθ⟩ is given by the dot product of the gradient of f at (a, b) and the unit vector u.

That is, D_uf(a, b) = ∇f(a, b) · u

Here, f(x, y) = xy^3 - x^2, so ∇f(x, y)

= ⟨y^3 - 2x, 3xy^2⟩.

At the point (1, 4), we have ∇f(1, 4) = ⟨60, 192⟩.

The direction indicated by the angle theta = π/3 is u = ⟨cos(π/3), sin(π/3)⟩ = ⟨1/2, √3/2⟩.

Therefore, the directional derivative of f at (1, 4) in the direction of u is:

D_uf(1, 4) = ∇f(1, 4) · u

= ⟨60, 192⟩ · ⟨1/2, √3/2⟩

= 60/2 + 192(√3/2)

= 30 + 96√3

So the directional derivative of f at (1, 4) in the direction of θ = π/3 is 30 + 96√3.

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Answer:

8

Step-by-step explanation:

The triangle with a different area is triangle E

To determine the triangle with a different area, we need to know that;

Four of the triangles labelled A, B, C and D are right -angled triangle and thus their area is expressed as;

Area = 1/2 ×base × height

The triangle E is an equilateral triangle and thus, the area of the triangle is expressed as;

Area = √3/4a²

The properties of this triangle are;

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Answer:

enjoy your weekend bud , both answers and solutions ares given , if you didn't understand anything lmk with a message and ill be happy to explain

Answer:

first one is: y=-2^×+4

second one is:2^×4

third one is:3y=2^×-4

fourth one is:y=-2^×+4

Step-by-step explanation:

i think so

good luck

When a double cone is sliced at the apex by a plane perpendicular to the base of the cone, the resulting conic section is a parabola.

Option B is the correct answer.

We have,

A parabola is a type of conic sect ion that can be defined as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).

In the case of slicing a double cone at the apex, the resulting conic section will have the characteristic shape of a parabola.

The slicing plane intersects both sides of the double cone, creating a curved shape that opens upward or downward, depending on the orientation of the cone.

The vertex of the parabola corresponds to the point of intersection of the slicing plane with the double cone.

Therefore,

When a double cone is sliced at the apex by a plane perpendicular to the base, a parabola is formed.

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The complete question:

Which degenerate conic is formed when a double cone is sliced at the apex by a plane perpendicular to the base of the cone?

A. Circle

B. Parabola

C. Ellipse

D. Hyperbola

Answer:

Miles       Gallons

41 .                  1

205 .              5

369 .               9

Step-by-step explanation:

369/9 = 41

from that you can tell that if you multiply gallons by 41 then you get the number of miles and if you divide miles by 41 you get the number of gallons

Answer:

2/18 or 1/9

Step-by-step explanation:

just directly multiply it 2×1=2

6×3=18 so 2/18 simplify 1/9

The correct option is option (C) .

Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .

Sampling :

Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.

Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.

There are two main types of sampling:

i) probability sampling

ii) Non-probability sampling

A) probability sampling:

It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.

The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.

Probability Samples:

1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.

2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.

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People cannot tell if infrared lights have been turned on in a dark environment. A good method to test this theory is to ask a group of people if an infrared light had been turned on while they were in a room that was lit by infrared radiation.

The experimenter's measurement of the control variable is the independent variable. Independent and dependent variables are the two different categories. These two things might be related in a cause-and-effect manner. The dependent variable is impacted by changes to the independent variable.

Dependent variables are variables that are examined or evaluated as a part of a study.Participants' test scores would be the dependent variable in a study looking at how tutoring affects test results because that is what is being measured.

Two of the most crucial terms in scientific study are "causing" and "effect. It is essential to recognise the independent and dependent variables.A "complex hypothesis" is one that describes a relationship between two or more variables. This equation, as its name implies, has a minimum of two independent variables and a minimum of two dependent variables. These illustrations can aid in your understanding of a challenging theory.

To find out if a theory holds up under inspection, anyone can conduct an experiment. This technique enables you to explain why a theory is unsupported by the evidence. Experimental data, however, can sometimes be interpreted in a nebulous or unclear way.

The amount of sunshine a plant receives determines how large it will become. The dependent variable changes when the independent variable changes. To get valid findings from this experiment, all other factors must be kept constant or under control.

By comparing the probability of the two independent random variables, you may determine their independence. If the collision has no effect on these variables' probabilities, they are regarded as independent.

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Answer:

20

Step-by-step explanation:

x^2 -y +1

Let x =5 and y = 6

5^2 -6+1

25-6+1

19+1

20

Answer:

Number of miles remaining for Jason to reach end of the path = 3/4 miles

Step-by-step explanation:

Total distance of the path = 12 1/4 miles

Distance reached by Jason's bike on the path = 11 1/2 miles

Enter the distance, in miles, Jason must ride to reach the end of the path.

Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path

= 12 1/4 miles - 11 1/2 miles

= 49/4 - 23/2

= (49-46) / 4

= 3/4 miles

Number of miles remaining for Jason to reach end of the path = 3/4 miles

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Answer:

it will be 3 hope that helps

The graph of the given linear function is attached below.

A linear function is modeled by the following rule:

y = mx + b

In which m is the slope, which is the rate of change, that is, the change in y divided by the change in x.

Also, b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

We are given the linear function d(x)=−12x−3

The graph is given below.

Two points on the graph are (2, 4) and (4, 7).

Now,

Hence, Slope of graph = -12

The graph of the given linear function is attached below.

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The prοbability οf getting at least 4 heads in 5 tοsses οf a fair cοin, rοunded tο the nearest thοusandth, is apprοximately 0.188.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

The prοbability οf getting exactly k heads in n independent tοsses οf a fair cοin is given by the binοmial distributiοn:

\(P(k) = (n \ choose \ k) * p^k * (1-p)^{(n-k)}\)

where (n chοοse k) is the number οf ways tο chοοse k heads οut οf n tοsses, and p is the prοbability οf getting heads οn a single tοss (which is 1/2 fοr a fair cοin).

Tο find the prοbability οf getting at least 4 heads in 5 tοsses, we need tο sum the prοbabilities οf getting 4 heads and getting 5 heads:

P(at least 4 heads) \(= P(4 heads) + P(5 heads)\)

P(4 heads) = (5 chοοse 4)\(* (1/2)^4 * (1/2)^{(5-4)} = 5/32\)

P(5 heads) = (5 chοοse 5) \(* (1/2)^5 * (1/2)^{(5-5)} = 1/32\)

Sο,

P(at least 4 heads) = 5/32 + 1/32 = 6/32

Rοunding tο the nearest thοusandth:

P(at least 4 heads) ≈ 0.188

Therefore, the probability of getting at least 4 heads in 5 tosses of a fair coin, rounded to the nearest thousandth, is approximately 0.188.

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Answer:

3 more girls than boys.

Step-by-step explanation:

Let's change 4:5 to 4x(boys) and 5x(girls).

Since there are 27 students, the equation would be:

4x+5x=27

Then, you simplify the equation:

9x=27

x=3

We are not finished yet!

Since there is 4x boys and 5x girls,

do 4 times 3 which gets you 12 boys

and 5 times 3 which gets you 15 girls.

15 girls minus 12 boys is 3 more girls than boys!

Hope this helps :)

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer: Pressure and Volume have an inverse and Temperature and Moles have an inverse relationship

Step-by-step explanation:

There is an inverse relationship between the following variables that define the properties of a gas:

1. Pressure (P) and Volume (V): According to Boyle's Law, when the temperature (T) is held constant, the product of pressure and volume remains constant for a given amount of gas. Mathematically, PV = constant. As one variable increases, the other decreases, indicating an inverse relationship.

2. Temperature (T) and Volume (V) in certain cases: In the case of Charles's Law, when the pressure is constant, the volume is directly proportional to temperature. However, if we consider a constant product of temperature and volume (TV = constant), and the pressure increases, then we observe an inverse relationship between temperature and volume.

Remember, these inverse relationships occur while keeping other variables constant. This is a multiple response question as both relationships mentioned above display an inverse relationship between different variables that define the properties of a gas.

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The set of coordinates after the reflection is (c) M' = (-3, -4) N' = (2, -3) O' = (1, -1) P' = (-2, -2)

The graph represents the given parameter

On the graph, we have the following coordinate points

M = (-3, 4)

N = (2, 3)

O = (1, 1)

P = (-2, 2)

The rule of the reflection is given as:

Reflection across the x-axis

Mathematically, this is represented as

(x, y) ⇒ (x, -y)

When this is applied to the points, we have the following representation

M' = (-3, -4)

N' = (2, -3)

O' = (1, -1)

P' = (-2, -2)

Hence, the set of coordinates is (c)

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Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

Answer: 7

THIRD OPTION

Step-by-step explanation:

Because of the side to side formula, 120+7x+11 = 180
so
7x = 49

x = 7