Goedele adds 52g of flour to her cake mix.

This is only 50% of what the recipe told her to add.

How much did the recipe tell her to add?

The correct option is A, Not a direct variation as y does not vary directly as x.

If the values of y varies directly as does of x, then there is a constant say "k" that is true for them, else y does not vary directly as x.

For x = -2 and y = 1

if y varies directly as x then

1 × k = -2

k = -2/1

k = -2 and the equation for the direct variation is y = -2x

but k = -2 is not true;

for x = 3 when y = 6

because their constant k will be 1/2

and the equation for the direct variation is y = x/2

k = -2 is also not true;

for x = 8 when y = 11

because their constant k will be 8/11 and the equation for the direct variation is y = 8x/11

Therefore, the values of y does not vary directly as does of y as there is no constant true for them.

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Explanation:

A relation is a function if and only if for each value of x there's only one value of y. In other words, if we find one value of x more than once, the relation is not a function.

Relation A is not a function because x = 2 shows up twice: (2, 5) and (2, 7)

Relation C is not a function because x = 1 shows up three times: (1, 3), (1, 5) and (1, 7)

Relation E is not a function because x = 2 shows up twice: (2, 5) and (2, 1)

Relations B and D have only one time each value of x

Answers:

The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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The calculated length of the other piece given the ratio 7 : 5 and the smaller length of 15.25 inches is 21.35 cm.

Let the total length of the string be x.

According to the problem, the string is divided into two pieces in the ratio 7:5.

This means that the smaller piece is 5/12 of the total length, and the larger piece is 7/12 of the total length.

We are given that the length of the smaller piece is 15.25 cm, so we can set up the following equation:

5/12x = 15.25

Solving for x, we get:

x = 12/5 x 15.25

x = 36.6

Therefore, the total length of the string is 36.6 cm.

To find the length of the larger piece, we can use the ratio 7:5:

larger piece = (7/12) x 36.6

larger piece ≈ 21.35 cm

Therefore, the length of the larger piece is approximately 21.35 cm.

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Answer:

1 hour and 35 mins

Step-by-step explanation:

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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q(x, θ) = x(1) − θ is a pivotal quantity, and its distribution is the same as the distribution of x(1).

A pivotal quantity is a function of the data and the unknown parameters whose distribution does not depend on the unknown parameters. In other words, the distribution of the pivotal quantity remains the same under different values of the parameters.

To show that q(x, θ) = x(1) − θ is a pivotal quantity, we need to show that its distribution does not depend on the unknown parameter θ. To do so, let's consider the distribution of q(x, θ):

P(q(x, θ) ≤ t) = P(x(1) − θ ≤ t)

= P(x(1) ≤ t + θ)

= F(x(1); t + θ)

where F(x(1); t + θ) is the cumulative distribution function of x(1).

Since the distribution of x(1) does not depend on θ, we can see that the distribution of q(x, θ) does not depend on θ either. Therefore, q(x, θ) is a pivotal quantity.

Furthermore, since q(x, θ) is a pivotal quantity, we can find its distribution by looking at the distribution of x(1). Therefore, the distribution of q(x, θ) is the same as the distribution of x(1).

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Answer:

10.5 I think

Step-by-step explanation:

the platform is 42ft so if you divide 42 by 4 you get 10.5

Answer:

4618.1 ft³

Step-by-step explanation:

Volume of the cone:

\(V_{cone} = \frac13 \pi r^2 h\)

\(V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi\)

Volume of the cilinder:

\(V_{cilinder} = \pi r^2 h\)

\(V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi\)

Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³

Domain: the set of all possible x values of the function.

Since there are no radicals and denominators, the domain of the function is all the real numbers.

Domain= all real numbers

Range = the set of all possible y values of the function

Range= (-2; ∞)

Graph of the function:

Answer:2 pounds per hour

Step-by-step explanation:

I just did it

Answer:

2 pounds per hour

Step-by-step explanation:

A measuring system is an organized process that identifies, quantifies, and assigns a unique number or value to a characteristic or dimension of a physical object. A measuring system has the following three elements: a standard, a measuring instrument, and a calibration or adjustment process to ensure accuracy.

There are various methods of measurement, some of which are as follows:Direct Comparison Method: This method involves comparing the measured quantity with the standard quantity. For example, weighing an object on a balance to determine its mass.Indirect Comparison Method: In this method, the unknown quantity is compared to a known quantity, which is then used to calculate the unknown quantity.

For example, measuring the length of a room by counting the number of tiles and multiplying it by the length of a tile.Using a Primary or Secondary Standard: In this method, the standard is used to calibrate or verify the accuracy of a measuring instrument. For example, using a standard ruler to verify the accuracy of a measuring tape.Substitution Method: This method involves measuring the quantity in question by substituting it with a known quantity. For example, determining the volume of an irregularly shaped object by submerging it in water and measuring the amount of water displaced.These are some of the methods of measurement.

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Answer: -20

Step-by-step explanation: 16 x 1/4 - 4x 6

Answer:

6

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

bc im in 7th and i have done this before

Answer:

The Answer is 2

Step-by-step explanation: The answer is 2 because when you divide each of the numbers in the x column the answers in the y column is a result of dividing them by 2. 6 divided by 2 is 3. Like 5 divided by 2 is 2.5 otherwise known as 2 1/2.

Answer:

x = 2x + 15

x - 2x = 2x +15

-x = 15

-x /- = 15/-

x = -15

Step-by-step explanation:

hope that will help you.

Answer:

x = −15

Step-by-step explanation:

x−2x = 2x+15−2x

−x = 15

−x/−1 = 15/−1

x = −15

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

The two sentences that provide the best evidence to support the idea that black holes are difficult to locate are 3 and 4. Sentence 3 states that scientists can usually only spot black holes

when they are actively consuming nearby objects, such as sections of a partner star or other matter falling into them. This implies that black holes are not easily detectable under normal circumstances. Sentence 4 adds to this idea by stating that astronomers believe most black holes including the newly discovered one mentioned, do not have anything close enough for them to consume. This suggests that there are limited observable phenomena associated with black holes, making their detection challenging.Taken together, sentences 3 and 4 present evidence that black holes are difficult to locate because they are not readily visible unless they are actively interacting with nearby objects. Furthermore, the absence of nearby objects for most black holes further complicates their detection. These statements highlight the challenges astronomers face in identifying and studying black holes in the vast expanse of the universe

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48=y+5y

pretend that there is a 1 in front for the y

48=1y+5y

add the like terms first

1y+5y=6y

48=6y

divide both sides by 6 to get y by itself

48/6=6y/6

8=y

answer:

y=8

Answer:

y = 8

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

48 = y + 5y

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it is a solution.

Here we see that 48 does indeed equal 48.

∴ y = 8 is a solution of the equation.

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

Answer:

12

Step-by-step explanation:

Tell algebra to stop looking for his x an just watch her 24/7

Answer:

value of x is 12

hope it helps.

The additive inverse is 4/5.

To get a additive inverse equal to zero, we have to add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.

Given that

4 /- 5

Usually the additive inverse, we have to changing the sign of the number and adding it to the original number to get zero.

As given x + (-x)= 0

Here we can see that (-x) is the additive inverse of x.

Now, 4/(-5) can be written as (-4/5).

Also Additive inverse of (-4)/5 is positive (4/5)

So, -4/5+ 4/5 = 0

Hence, the inverse of 4/(-5) is 4/5.

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Answer:the length and width of the rectangle are 12 and 8 respectively

Step-by-step explanation:

Step 1

The perimeter of a rectangle is 2l + 2w  where l= length and w= width giving us that

2l+2w=P

2l + 2w = 40

2(l+w)= 40

l +w = 20

Also we were given The difference between the length and width of a rectangle is 4 units giving us that

l-w= 4

Here our systems of equation to solve the problem

l-w= 4----- Equation 1

l +w = 20-----Equation 2

Step 2

I-w=4---- Equation 1

l +w = 20---Equation 2

Adding equation 1 and 2

I-w=4

+l +w = 20

2l =24

l=24/2

=l=12

To find w, we put the value of l=12 into equation 1

I-w=4

12-w= 4

w= 12-4

w=8

Therefore the length and width of the rectangle are 12 and 8 respectively

Answer:

see explanation

Step-by-step explanation:

Given

(a + bi)(a - bi) ← expand using FOIL

= a² - abi + abi - b²i² → i² = - 1

= a² + b²

Since a and b are any real numbers, then

a² + b² is a real number

B

When a complex number is multiplied by its conjugate the result is always real.

Answer:

(3, \(\frac{1}{8}\) )

Step-by-step explanation:

Hi there,

To find the answer to this question, you can simply use a graphing calculator to graph this function. When looking at the values of points along the function, we find that (3, \(\frac{1}{8}\) ) is one of the answer choices.

Hope this answer helps.

Cheers.

a)The sample space is the set of all possible outcomes of a random experiment. Here the painter has 4 jars of paint and he picks randomly until he selects the jar of purple paint. Since the purple jar can be any of the 4 jars, the number of outcomes is 4.

The possible outcomes are O1, O2, O3, and O4. O1 represents the event that the purple jar is the first jar, O2 represents the event that the purple jar is the second jar,

O1, O2, O3, and O4. So the number of different events is given by: 2^4 - 1 = 15. The number of different events is 15. We subtract 1 from 2^4 because we are not including the empty set.c)When repetitions are allowed, the possible outcomes are:purple paint from the first jar, purple paint from the second jar, purple paint from the third jar, purple paint from the fourth jar,

non-purple paint from the first jar, non-purple paint from the second jar, non-purple paint from the third jar, non-purple paint from the fourth jar. So the sample space can be {P1, P2, P3, P4, N1, N2, N3, N4}d)An expression for the sample space is {P1, P2, P3, P4, N1, N2, N3, N4}.

The sample space is the set of all possible outcomes of the experiment. So we list all the possible outcomes in the set notation separated by commas. We use P1, P2, P3, P4 to represent the event that the purple paint comes from the first, second, third and fourth jars respectively, and N1, N2, N3, N4 to represent the event that the non-purple paint comes from the first, second, third and fourth jars respectively.

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According to the given information, the two equations that are true for  x=-2  and  x=2  are  4x²-16=0  and  2(x-2)²=0.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=). The expressions on both sides of the equation can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

The values of  x=-2  and  x=2  satisfy the equation  4x²=16, so  4x²-16=0  is true for both  x=-2  and  x=2.

The equation  x²=-4  has no real solutions, so it is not true for either  x=-2  or  x=2.

The equation  3x²+12=0  is not true for either  x=-2  or  x=2 , because  3x²+12  is always positive for any real value of  x .

The equation  2(x-2)²=0  is only true for  x=2 , because plugging in  x=-2  gives  2(-4)² =32 ≠0.

Therefore, the two equations that are true for  x=-2  and  x=2  are  4x²-16=0  and  2(x-2)²=0 .

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Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

0 hours and 17 minutes

Step-by-step explanation:

47 - 30 = 17

Each person can spend up to 34 at the park.

To maximize their budget and make the most of their day, the Livingston family could consider packing a picnic lunch instead of buying food at the park, looking for free or low-cost activities to do, and taking advantage of any discounts or coupons that may be available. By being mindful of their spending and making smart choices, they can have a fun and memorable day without breaking the bank.

170 ÷ 5 = 34

However, it's important to keep in mind that this is the maximum amount they can spend and they should aim to spend less than that to ensure they have enough money for other activities and unforeseen expenses.

It's also worth noting that there may be additional expenses associated with visiting the park, such as admission fees or the cost of food and drinks. The family should factor in these expenses when determining how much money each person can spend.

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