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The required, equivalent fraction for two-thirds is four-sixths, which can be simplified to two-thirds.

If two-thirds of a jar of peanut butter has been used, then one-third is remaining.

An equivalent fraction for one-third is two-sixths, which simplifies it to one-third.

Therefore, an equivalent fraction for two-thirds is four-sixths, which can be simplified to two-thirds.

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By answering the presented question, we may conclude that As a result, slope the correct answer is y = (4/5)x + 23/5.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x). The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b. The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7)

To determine the equation of the line perpendicular to the line 5x + 4y = 9, travel via the point (-2, 3).

5x + 4y = 9 4y = (-5/4)x + 9/4

As a result, the slope of the supplied line is -5/4.

4/5 is the negative counterpart of -5/4.

As a result, the new line's slope will be 4/5.

y - y1 = m(x - x1), where (x1, y1) is the provided point and m is the newly discovered slope.

y - 3 = (4/5)(x + 2)

y = (4/5)x + (8/5) + 3

y = (4/5)x + 23/5

Hence the equation of the perpendicular to the line 5x + 4y = 9 line going through the point (-2, 3) is y = (4/5)x + 23/5.

As a result, the correct answer is y = (4/5)x + 23/5.

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The word phrase that describes the expression 10 - 2x is "ten decreased by twice a number x" or "twice the number x subtracted from ten".

Given that

10 - 2x

This expression involves a variable x and a constant 10, and it represents a linear equation in slope-intercept form, where the coefficient of x is -2 and the y-intercept is 10.

The expression can be used to represent various real-life situations, such as calculating the cost of a product that is discounted by a certain percentage or determining the remaining amount of money after deducting some expenses.

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Answer:  The formula in cell C8 that divides the product of cells C5 through C7 by cell C4 is:

=(C5C6C7)/C4

Step-by-step explanation:

To divide the product of cells C5 through C7 by cell C4, use the formula =PRODUCT(C5:C7)/C4.

To divide the product of cells C5 through C7 by cell C4 in cell C8, you can use the formula =PRODUCT(C5:C7)/C4.

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The Volume of the given tent is calculated as: 144 cubic.units

The tent being described here is basically a triangular prism.

A triangular prism is simply referred to as a three-sided polyhedron with two parallel triangular bases and also three rectangular faces. This should not be mistaken with a pyramid. Now, to calculate the particular volume of a triangular prism, we have to first of all calculate the area of one of the triangular bases and then multiply that area by the height of the shape.

The formula used in expression for the Volume of the tent is:

V = Bh

= (¹/₂bh)h

where:

B is called base area

b is called base length

h is called height

We are given:

b = 8

h = 6

Thus:

V = (¹/₂ * 8 * 6) * 6

V = 144 cubic.units

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Answer: B/7

Step-by-step explanation:

The average rate of change of the function over the interval is 4

From the question, we have the following parameters that can be used in our computation:

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

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The 90% confidence interval for the sample mean is approximately [tex](5.26, 6.74)[/tex].

To find the 90% confidence interval for a sample of 64 with a mean of 6 and a standard deviation of 3, you can use the formula:

[tex]CI = \bar x\ _-^+\ Z_{\alpha/2} * (\sigma/ \sqrt n)[/tex]

where,

CI is the confidence interval

[tex]\bar X[/tex] is the sample mean =6

[tex]Z_{\alpha/2} = 1.645[/tex]  i.e. 90% confidence.

σ is the population standard deviation =3

n is the sample size = 64

So the expression to simplify would be:

[tex]6\ _-^+ \ 1.645 * (3/\sqrt{64})[/tex]

Simplifying this expression gives:

[tex]= 6\ _-^+\ 0.7378125\\[/tex]

So, The 90% confidence interval for the sample mean is approximately [tex](5.26, 6.74)[/tex].

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The decimal equivalent of this is roughly 0.5556 as the probability of P(less than 6) is equal to the ratio of favourable outcomes .

The number of favourable outcomes is divided by the entire number of potential outcomes to determine probability. For instance, if we flip a fair coin, the outcomes are heads or tails, and both are equally likely. As a result, the odds of receiving heads are 1/2 or 0.5, and also the odds of getting tails are also 1/2 or 0.5. In order to create projections and wise decisions, probability is widely employed in statistics, maths, science, and daily life. It is used to model complex things, test theories, and analyse data. In attempting to assess dangers and make choices based on unpredictability, it is also utilised in industries like insurance, banking, and gambling.

given

As the spinner has the numbers 1 through 9, there are nine equally likely outcomes.

There are five of these nine outcomes—1, 2, 3, 4, and 5—that are less than six.

As a result, the probability of P(less than 6) is equal to the ratio of favourable outcomes to all other possible outcomes:

P (below 6) = 5/9

The decimal equivalent of this is roughly 0.5556 as the probability of P(less than 6) is equal to the ratio of favourable outcomes .

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Answer: The measure of the supplementary angle is 79.4 degrees.

Step-by-step explanation:

The definition of supplementary angles are angles that sum up to 180 degrees.

Hence, the measure of the supplementary angle of 100.6 degrees is 180-100.6=79.4 degrees.

Answer:

Only one choice is True: the graph is a parabola.

Step-by-step explanation:

f(x) = x^2 - 5x + 12

f(-10) = (-10)^2 - 5(-10) + 12

= 100 + 50 + 12

= 162 so f(-10) = 82 is FALSE.

The graph is a parabola:

TRUE

The graph opens up ( as coefficient of x^2 is positive.  FALSE

Plug in (20, -8):

(-8) = 20^2 - 5(20) + 12

= 400 - 100 + 12 = 312 FALSE.

The graph contains (0,0) : FALSE

( as (0)^2 - 5(0) + 12 = 12..

Answer:

>

Step-by-step explanation:

This is because when we look at the numbers the may look equal at first glance but when we evaluate it we see that the denominator of 3/4 is bigger than the denominator of 2/3 so they correct answer would be

3/4>2/3

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The diameter of the circle is 8, because the diameter is twice the radius. The circumference of the circle is 25.1327, because the circumference is calculated using the formula C = 2πr, where r is the radius and π is approximately equal to 3.14.

There should be three conditions that a sampling distribution as approximately Normal:

              random condition

           10% condition

           large counts condition

What is sample?

A sample is a smaller set of data which an observer chooses or selects from a larger population using a pre-defined selection method. These data are known as sample points, sampling units, or observations.

To treat the sampling distribution as approximately normal there should be three rules. The list is given below.

1.Randomization Condition:  The sample should be a simple random sample of the population.

2.10% Condition: If sampling has not been made with replacement, then the sample size, n, must be no larger than 10% of the population.

3.Success or Failure Condition: The sample size has to be big enough so that both np and nq are at least 10.

Hence, there should be three conditions:

              random condition

           10% condition

           large counts condition.

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Answer:

192 feet of fabric

Step-by-step explanation:

Since each curtain needs to be 36 inches long, or 3 feet long, the total length of fabric needed for one curtain is 3 feet. To make 64 curtains, Ivania's curtain company will need a total of:

3 feet/curtain x 64 curtains = 192 feet of fabric

The number of feet of fabric that Ivania needs to make the curtains is 192 feet.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Ivania's curtain company is making curtains for a local hotel.

Length of each curtain needed = 36 inches

                                                    = 36/12 feet

                                                    = 3 feet

At the fabric store, fabric is sold by the foot.

Number of curtains needed to make = 64

We have to multiply the length of each curtain with the total number of curtains to find the total length of the curtain needed.

Feet needed = 64 × 3 feet = 192 feet

Hence the feet of curtains needed is 192 feet.

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The volume of the given sphere is 14130 cubic inches.

Given that, the surface area of a sphere is 900π square inches.

We know that, the surface area of a sphere is 4πr².

Here, 4πr²=900π

r²=900/4

r²=225

r=15 inches

The volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Here, volume of a sphere = 4/3 ×3.14×15³

= 14130 cubic inches

Therefore, the volume of the given sphere is 14130 cubic inches.

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The answer of the given question based on the rectangular pyramid is ,  the height of the pyramid is 24 units.

Volume is the amount of space occupied by an object or a substance. It is a three-dimensional measurement that is expressed in units like cubic meters, cubic centimeters, liters, or gallons.

The volume of  rectangular pyramid is given by formula:

V = (1/3) * B * h

where V is the volume, B is the area of the rectangular base, and h is the height of the pyramid.

In this problem, we are given that the volume of the pyramid is 1824 units^3, and the length and width of the rectangular base are 12 units and 19 units, respectively. We can use this information to find the area of the rectangular base:

B = length * width = 12 * 19 = 228 units²

Substituting this value and the formula for the volume into the equation above, we get:

1824 = (1/3) * 228 * h

Multiplying both sides by 3, we get:

3 * 1824 = 228 * h

Simplifying, we get:

5472 = 228 * h

Dividing both sides by 228, we get:

h = 5472 / 228

Simplifying, we get:

h = 24

Therefore, the height of the pyramid is 24 units.

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Answer:

111

Step-by-step explanation:

we can get by finding the difference of 180 degree minus 69 degree

x+69 degree = 180 degree

x= 180 degree-69 degree

x=111 degree

Answer:

2/3

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Answer:

a) f(1) = 3

b) f(-1) = -0.25

c) x = 0, 3

d) x = -0.75

e) domain   [-2, 4]

    range   [-1, 3]

Step-by-step explanation:

In this graph, f(x) is represented by the y-axis.

a) We can see that f(1) (the y-value when x = 1) is 3.

b) Looking at the graph, we can estimate f(-1) as about -0.25.

c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.

d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.

e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]

The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].

The given passage is a proof that a certain set H is a subgroup of a group X.

The given passage is a proof that a certain set H is a subgroup of a group X. It first defines H as the set of all products of elements of X and inverses of elements of X.

Then, it shows that H satisfies the three conditions necessary for it to be considered a subgroup: H contains the identity element I, it is closed under products (i.e., if h and k are in H, then hk is also in H), and it is closed under inverses (i.e., if h is in H, then h^-1 is also in H).

Finally, it concludes that since H contains all elements of X and is closed under products and inverses, it must be the smallest subgroup of X that contains X itself. Therefore, H is a subgroup of X.

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Answer: Any cake being baked in an oven is an endothermic reaction

Step-by-step explanation: Endothermic reactions in a closed system are when heat is transferred from the external environment into the system.

Using compound interest, we can find that the principal investment required to get a total amount of $100,000.00 from compound interest at a rate of 5.67% per year compounded 1 time per year over 40 years is $11,013.66.

Interest that is accrued on both principal and previous interest is known as compound interest. As a result, it is often referred to as "interest over the interest". Here, the principal is increased by the interest that has already accrued, and the resulting sum serves as the new principal for the subsequent period. i.e., compound interest is equal to interest on the principal plus interest on interest already paid.

First, convert R as a percent to r as a decimal.

r = R/100

r = 5.67/100

r = 0.0567 per year,

Then, solve the equation for P:

P = A / [tex](1 + r/n)^{nt}[/tex]

P = 100,000.00 / [tex](1 + 0.0567/1)^{40}[/tex]

P = 100,000.00 / [tex](1 + 0.0567) ^{40}[/tex]

P = $11,013.66

The principal investment required to get a total amount of $100,000.00 from compound interest at a rate of 5.67% per year compounded 1 time per year over 40 years is $11,013.66.

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A borrower consistently making late payments, keeping a high balance on credit cards, and applying for many different credit cards can have a negative impact on their credit score. Therefore, the correct answer is A) I, III, IV.

On the other hand, having a long credit history with a specific card (II) can have a positive impact on the credit score, while it is important to keep in mind that this is just one factor among many that can affect a credit score.

[tex]\huge{\colorbox{black}{\textcolor{lime}{\textsf{\textbf{I\:hope\:this\:helps\:!}}}}}[/tex]

[tex]\begin{align}\colorbox{black}{\textcolor{hotpink}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]

[tex]\textcolor{blue}{\small\texttt{If you have any further questions,}}[/tex] [tex]\textcolor{blue}{\small{\texttt{feel free to ask!}}}[/tex]

[tex]{\bigstar{\underline{\boxed{\sf{\textbf{\color{red}{Sumit\:Roy}}}}}}}\\[/tex]

Answer: around -$0.77

Step-by-step explanation:

To calculate the expected value of this lottery game, we need to find the probability of winning the game and the probability of losing the game.

Probability of winning:

There are a total of C(25, 6) possible combinations of choosing 6 numbers out of 25, where C(n, k) represents the number of combinations of choosing k items from a set of n items. The formula for combinations is:

C(n, k) = n! / (k!(n-k)!)

C(25, 6) = 25! / (6!19!) = 177100

So, there are 177,100 possible combinations. Since there's only 1 winning combination, the probability of winning is:

P(Winning) = 1 / 177,100

Probability of losing:

Since there's only 1 winning combination, the probability of losing is:

P(Losing) = 1 - P(Winning) = 1 - (1 / 177,100) = 177,099 / 177,100

Expected value:

Now, we can calculate the expected value (EV) by multiplying the probabilities of each outcome by their respective values and then summing up these products:

EV = P(Winning) * Value(Winning) + P(Losing) * Value(Losing)

EV = (1 / 177,100) * $40,000 + (177,099 / 177,100) * (-$1)

EV ≈ ($40,000 / 177,100) - ($177,099 / 177,100)

EV ≈ $0.2256 - $1

EV ≈ -$0.7744

The expected value of this lottery game is approximately -$0.7744. This means that, on average, a player would lose about 77.44 cents per game.

The recipe for half of a strawberry blueberry smoothie would be:

1 part strawberry

2 parts blueberry.

To make half of a strawberry blueberry smoothie using recipe 2:4, you need to divide both ingredients by 2.

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

2/2 = 1 part strawberry

4/2 = 2 parts blueberry

So the recipe for half of a strawberry blueberry smoothie would be:

1 part strawberry

2 parts blueberry.

Therefore, as per the order, the recipe for half of a strawberry blueberry smoothie would be 1 part strawberry and 2 parts blueberry.

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Answer:

y = -21

Step-by-step explanation: y=mx+c  

Answer:

Slope 0 and y-intercept of -21 in intercept from is  y= 0x -21

Step-by-step explanation:

If you follow the guide of how to convert it into a intercept form, you will conclude that a slope of 0 and y-intercept of -21 in intercept from is y= 0x -21.

Using equations, we can find the value of MP to be = 29 units.

Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way.

Here in the question,

MP = MN + NP

MP = 5y + 9

MN = 17

NP = 3y

So, forming the equation:

5y + 9 = 17 + 3y

⇒ 5y - 3y = 17 - 9

⇒ 2y = 8

⇒ y = 4.

MP = 5y + 9

= 5 × 4 + 9

= 20 + 9

= 29 units.

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Answer:

B. y = x + 2 and y = -x - 4 i hope that is the answer

The equation with the given coordinate points is y=-3x-1.

The given coordinate points are (0, -1) and (1, -4).

Here, slope (m) = (-4-(-1))/(1-0)

= (-4+1)/1

= -3

Substitute m=-3 and (x, y)=(0, -1) in y=mx+c, we get

-1=-3(0)+c

c=-1

Substitute m=-3 and c=-1 in y=mx+c, we get

y=-3x-1

So, the equation is y-3x-1

Therefore, the equation with the given coordinate points is y=-3x-1.

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