The graph of Y=x^2 is shown below

if graphed on the same grid which of the following could be the graph of Y = 0.4 X^2

Sarah use for each cup of water is 3/8

Now, According to the question:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

She uses 1/4 cup of grape juice for every 2/3 cup of water.

Let Sarah use for each cup of water be x.

To construct table of grape juice and cup of water.

Grape juice                                     Cup of water

   1/4                                                          2/3

     x                                                             1

Now, Solving the fractions

\(\frac{1}{4}/x\)     =    \(\frac{2}{3}/1\)

8x =  3

x = 3/8 cup

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Answer:

2,-1+2i,1-2i

Step-by-step explanation:

C

Question:

Two sisters like to compete on their bike rides. Ciara can go 4 mph faster than her sister, Colleen. If it takes Colleen one hour longer than Ciara to go 80 miles, how fast can Colleen ride her bike?

Explanation:

Note that Ciara can go 4mph faster than Collen.

Let's take the speed to ride a bike for Collen to be x mph.

The speed to ride a bike for Ciara will be (x + 4) mph

Now, to cover a distance of 80 miles, Collen takes 1 hour longer than Ciara. Applying the kinematics equation for motion at constant speed:

where v is velocity, d is distance and t is time, we can solve this equation for the time t:

Here time Collen takes to cover a distance of 80 miles in 1 hour is more than that taken by Ciara, hence:

Time taken by Collen:

Time taken by Ciara:

The equation for the difference in time:

Solve the equation for the difference in time to get the value of x which is Collen speed:

Solving the quadratic equation by the quadratic formula where a=1,b=4, and c=-320, we get:

Answer: Colleen's speed is 16 mph.

Answer:43.289

Step-by-step explana

Answer:

The two column proof is presented as follows;

The given parameters are;

\(\overline {AD}\) = \(\overline {DC}\) and \(\overline {AB}\) = \(\overline {BC}\)

Statement               \({}\)                     Reason

\(\overline {AD}\) = \(\overline {DC}\) and \(\overline {AB}\) = \(\overline {BC}\)       \({}\)       Given

\(\overline {BD}\)  ≅  \(\overline {BD}\)               \({}\)                    Reflexive property

\(\overline {BD}\)  =  \(\overline {BD}\)               \({}\)                     By the definition of congruency

ΔADB ≅ ΔCDB             \({}\)                By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB              \({}\)                 By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

The probability that Mabu will win is 11/16.

To find the probability that Mabu will win, we need to consider the different possible outcomes.

The first flip can either result in heads (H) or tails (T).

If it is tails, the next person in line, Juan, will flip the coin.

If Juan also gets tails, then Carlos will flip, and if Carlos gets tails as well, Mabu will have her turn to flip.

This process continues until one of them flips heads and wins.

Let's analyze the possibilities:

H (Mabu wins): In this case, Mabu wins immediately with a probability of 1/2 (since the first flip can either be heads or tails).

T - T - H (Mabu wins): This sequence represents the scenario where Juan and Carlos both get tails, and Mabu flips heads.

The probability of this happening is \((1/2) \times (1/2) \times (1/2) = 1/8.\)

T - T - T - H (Mabu wins): This sequence represents the scenario where all three of them get tails before Mabu flips heads.

The probability of this happening is \((1/2) \times (1/2) \times (1/2) \times (1/2) = 1/16.\)

Based on the above possibilities, the total probability of Mabu winning can be calculated by summing up the individual probabilities:

P(Mabu wins) = 1/2 + 1/8 + 1/16 = 8/16 + 2/16 + 1/16 = 11/16.

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Answer: slope = -1

Step-by-step explanation:

Count from point (2,0) to point (0,2)

You get 2/2 which simplifies to 1.

However the line is negative so the slope must be negative, giving you a slope of -1 as your final answer.

Answer:

( 1, 5 )

x = 1

y = 1

Step-by-step explanation:

y = x + 4

2x + 3y = 17

Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.

2x + 3y = 17

2x + 3 ( x + 4 ) = 17

Distributive Property

2x + 3 * x + 3 * 4 = 17

2x + 3x + 12 = 17

Combine Like Terms ( 2x and 3x)

5x + 12 = 17

Subtract 12 on both sides of the equation

5x + 12 - 12 = 17 - 12

5x = 5

Divide by 5 on both sides to isolate the variable

5x/5 = 5/5

x = 1

Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"

y = x + 4

y = 1 + 4

y = 5

x = 1

y = 5

( x, y )

( 1, 5 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

answer:

Step-by-step explanation:

graph 3 on the y axes then go up five and over one the answer is that

Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Let v be a vector space and f ⊆ v be a finite set. To show that f ∪{u} is a linearly independent set, we need to prove that the only linear combination of its elements that equals the zero vector is the trivial one (i.e., all coefficients are zero).

Suppose that there exist scalars a1, a2, ..., an, b such that:

b*u + a1*v1 + a2*v2 + ... + an*vn = 0
where v1, v2, ..., vn are elements of f.

We want to show that all coefficients are zero.

Since u /∈span f, we know that u cannot be written as a linear combination of elements of f. Therefore, b ≠ 0.

We can rearrange the equation to get:
b*u = -(a1*v1 + a2*v2 + ... + an*vn)

Since f is linearly independent, we know that the only linear combination of its elements that equals the zero vector is the trivial one. Therefore, a1 = a2 = ... = an = 0.

Substituting this into the equation, we get
b*u = 0

Since b ≠ 0, we know that u = 0, which contradicts the fact that u is not in the span of f.

Therefore, our assumption that there exist nontrivial coefficients that satisfy the equation is false, and f ∪{u} is indeed a linearly independent set.

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9 minutes is the new standard time for the navigator iii.

What is statistics and example?

If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then

Element            1    2            3         4             5          6  

Mean obs. Time(t) 1.11   3.1    0.895  1.283333 1.565 1.5  

Normal time       1.0545  1.395 0.93975 1.283333 1.33025 1.65   Sum

Standard time   1.240588 1.641176 1.105588  1.509804 1.565 1.941176

   Sum    9.003333

New standard time = 9 minutes

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Answer:

im pretty sure the answer is spreadsheet

Step-by-step explanation:

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

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The area of triangle ∆AOB is 25.1cm²

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

The area of a triangle is given as = ½ absinC

since triangle COD is congruent to AOD

Therefore the area of COD is equal to the area of AOD

area of COD = 1/2 ×7.8 × 10 × sin40

area = 1/2 × 78 sin 40

area = 50.13/2

area = 25.1cm²

therefore Area of COD = area of AOD = 25.1cm²

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Mr. Frank can fertilize 53 plants with 1.01 kilograms of fertilizer, assuming each plant gets 94 mg of fertilizer two times a year.

To determine the number of plants Mr. Frank can fertilize with 1.01 kilograms of fertilizer, we need to convert the given amount of fertilizer from kilograms to milligrams. Since there are 1,000 milligrams in one gram and 1,000 grams in one kilogram, we can calculate that 1.01 kilograms is equal to 1,010,000 milligrams of fertilizer.

Next, we need to determine how much fertilizer each plant will need. Since each plant needs 94 mg of fertilizer two times a year, the total amount of fertilizer needed per plant per year is 188 mg (94 mg x 2).

Therefore, to calculate the total number of plants Mr. Frank can fertilize with 1.01 kilograms of fertilizer, we need to divide the total amount of fertilizer by the amount needed per plant per year:

1,010,000 mg ÷ 188 mg/year = 5,372.34 plants

However, since we can't have a fraction of a plant, we need to round down to the nearest whole number to get the final answer:

Number of plants = 5,372 (rounded down from 5,372.34)

Therefore, Mr. Frank can fertilize 5,372 plants with 1.01 kilograms of fertilizer.

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Answer: 1392 people who work for the company are men.

I did this by multiplying 2320 by 0.6, which got me my answer.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

B.

Step-by-step explanation:

Okay so basically, the original triangle is

D: (-5,1)

E: (-2,5)

F: (1,-1)

And the translation equation is x+1 and y-3
for D, the new translation point would be (-4, -2)

for E, the new translation point would be (-1, 2)

for F, the new translation point would be (2, -4)

So the answer would be B.

I really hope this helps.

Answer:

A. Acute and B. Equilateral

Step-by-step explanation:

The scale factor is 2.

In Mathematics and Geometry, a scale factor can be determined through the division of the side length of the image (new figure) by the side length of the original or actual geometric figure (pre-image).

Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:

Scale factor = side length of image/side length of pre-image

Conversion:

100 cm = 1 m

10 cm = 10/100 = 0.1 m.

20 m = 0.2 cm.

Substituting the given side lengths into the scale factor formula, we have the following;

Scale factor = 0.2/0.1

Scale factor = 2.

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To apply Green's Theorem, we first need to find the curl of F.

∇ × F = (∂(x - y)/∂x - ∂(x2 + y2)/∂y)k

     = (-2y)k

Now, we apply Green's Theorem:

∮_C F · dr = ∬_R (∇ × F) · dA = ∬_R (-2y) dA

We can integrate over the region R by dividing it into two triangles, one with vertices at (0,0), (2,0), and (2,9) and the other with vertices at (0,0), (0,9), and (2,9).

For the first triangle, we have:

∫_0^2 ∫_0^(9x/2) (-2y) dy dx = -144

For the second triangle, we have:

∫_0^9 ∫_0^(2 - y/9) (-2y) dx dy = -144

Adding these two results, we get a total counterclockwise circulation of -144. Therefore, the answer is D) -144.

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∠2 and ∠3 are opposite angles or vertical angles so they are equal.

Opposite angles are a pair of angles that are formed when two lines intersect. They are located across from each other and have the same degree measure. Opposite angles are also known as vertical angles.

More specifically, when two lines intersect, they form four angles at the point of intersection. The opposite angles are the angles that are directly across from each other, and they share a common vertex. In other words, if you draw a line segment connecting the vertices of the opposite angles, it will divide the intersection into two pairs of congruent angles.

The property of opposite angles is that they have equal measures. For example, if one of the opposite angles measures 60 degrees, the other opposite angle will also measure 60 degrees.

Opposite angles play an important role in geometry and are used in various proofs and theorems.

In the given problem, ∠2 and ∠3 are opposite angles which implies they must be equal to one another.

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Answer: 18

Step-by-step explanation:

A randomized block design for an experiment is a design that attempts to reduce the influence of confounding variables, in order to isolate the true treatment effects.

Randomization is used to create homogenous blocks of experimental units, followed by the application of treatments to those units. Here's the example of a randomized block design for an experiment:

Out of the given options, option (c) gives an example of a randomized block design for an experiment. The following is an example of how this design can be implemented: Ninety people are grouped by age (20 to 39 years old, 40 to 50 years old, 60 to 79 years old).

There are 30 people in each age group. Ten people from each group are randomly assigned to one of three "sleep" treatments (sleep in total darkness, sleep with a nightlight, sleep with bright lights turned on).

The quality of sleep for everyone is collected by group and the results from each group are compared. Each age group has been randomly assigned to one of three sleep treatments.

The experiment's randomization occurs in blocks of age, which is the source of blocking. The intention is that the difference in treatment effect among the three sleep conditions, if any, will be related to age.

Thus, by blocking for age, we eliminate it as a potential source of variance. We are attempting to isolate the impact of the sleep treatments on quality of sleep from the impact of age.

Therefore, option (c) gives an example of a randomized block design for an experiment.

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Answer:

2 continous random variable

1 discrete random variable

A fourth variable that cannot be treated as random.

Step-by-step explanation:

A continous random variable differs from a discrete variable in a few ways ; Continous random variables are usually uncountable as they can take up an infinite number of values within an interval. These variables may include those obtained by measurement such as height, weight, distance and so many other decimal yielding values. Discrete random variables in the other hand are countable and values can be obtained by counting as successive values are usually whole numbers.

In the scenario above ;

The weight of starfish and percentage area on the plot are continous variables while the number of starfish is discrete.

Whether or not plot is underway or midway between high and low tide isn't a random variable.

The correct statement is option (d): aₙ = Sₙ₊₁ - Sₙ₋₁.  The nth partial sum, Sₙ, represents the sum of the first n terms of the infinite series ∑ₙ₌₁ aₙ. We are given that n > 3.

To determine the relationship between the nth term, aₙ, and the partial sums, we can examine the pattern of the series. Looking at the options, we observe that option (d) is the difference between Sₙ₊₁ and Sₙ₋₁.

Let's consider an example to understand why this is the correct choice. Suppose we have the series 1 + 2 + 3 + 4 + 5 + ... and we want to find the relationship between the terms and the partial sums. The partial sums would be 1, 3, 6, 10, 15, ... We can see that the difference between consecutive partial sums is 2, 3, 4, 5, ... which corresponds to the terms of the series. Thus, aₙ = Sₙ₊₁ - Sₙ₋₁.

In general, for any infinite series with n > 3, the correct relationship between the nth term, aₙ, and the partial sums, Sₙ, is given by aₙ = Sₙ₊₁ - Sₙ₋₁, which is option (d).

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If variation in a process results from common causes alone, the process is said to be in statistical control.

When talking about control charts, being in-control means your process is exhibiting common cause variation and is predictable.

Variation due to the inherent variability in a system of operation is called. special or assignable causes.

Industrial control systems are used by a discipline known as industrial process control in continuous manufacturing processes to produce at a level of consistency, economy, and safety that is impossible to achieve exclusively through manual human control. Process control systems make guarantee that industrial activities are carried out efficiently, dependably, and with as little fluctuation as is practical. They are installed in industrial settings to guarantee throughput, quality, yield, and energy efficiency. Ensure that work is done profitably and safely according to established procedures.

Therefore,

If variation in a process results from common causes alone, the process is said to be in statistical control.

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