Simplify. 3 – 7 • 5 + 2 • 4 ASAP

Answer:

4 cm

Step-by-step explanation:

Volume of milk

LBH

L= 8, B= 5 and H =12

5×8×12=480

After rotation

L= 8, B=15 and H=x

V=LBH

480=8×15×x

480=120x

x=4cm

Answer:

The depth of the milk is 4cm when turned

Step-by-step explanation:

First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)

5x8x12=480 cm^3

The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same

When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.

8x15xh=480

120h=480

h=4

The depth of the milk is 4cm when turned

The park's total water use when the new attraction is built will be 2406.8  × 10³gallons.

Logic is the manipulation of mathematical signifiers, whereas algebra is the study of those signifiers.

The PEMDAS concept stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This guideline must be adhered to in order to provide an accurate solution to the issue.

Total water consumption for a water park's pools, slides, and other features is 2.4 *10⁶ gallons. A ride that would use an additional 6.8 × 10³gallons of water is planned.

Following the completion of the new attraction, the park will have utilized a total of

⇒ 2.4 × 10⁶ + 6.8 × 10³

⇒ 2400 × 10³ + 6.8 × 10³

⇒ 2406.8 × 10³

After the new attraction is constructed, the park will have used 2406.8 × 10³ total gallons of water.

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Answer:

3/2 is the slope of red line

Step-by-step explanation:

The slope of a line that is perpendicular to another line is the reciprocal.

The reciprocal is when the numerator and denominator switch places. For example, the reciprocal of 2/3 us 3/2

We know that the slope of green line is 2/3.

So all we got to do is to find the reciprocal of 2/3, which is 3/2 as listed above.

So the slope of the red line is 3/2.

This is correct because i just learned this like 2 weeks ago and got good scores

The given series converges.

To determine whether the series converges or diverges, let's examine the given series:

(-3)^n * 1 / 4^(n-1)

simplify this expression by rewriting 4^(n-1) as (4^n) / 4:

(-3)^n * 1 / (4^n) * (4/4)

Next, rearrange the terms to separate the factors involving n from the constant factors:

(-3/4) * (4/4)^n

Simplifying further:

(-3/4) * (1)^n

Now, let's consider the limit of this expression as n approaches infinity:

lim n→∞ (-3/4) * (1)^n

Since 1 raised to any power remains 1, we have:

lim n→∞ (-3/4) * 1

Therefore, the limit evaluates to:

lim n→∞ (-3/4) = -3/4

The resulting limit is a constant value (-3/4), which means that the series converges.

Hence, the given series converges.

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Applying the tangent ratio, the value of x in the right triangle is approximately: 5.

Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.

Given the following:

tan 63 = 10/x

x = 10/tan 63

x ≈ 5

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ANSWERS

• Equation:, s = 1000 + 55m

• Equation to save $10,000:, 10,000 = 1000 + 55m

• Months it takes you to save $10,000:, 164 months

EXPLANATION

You first deposit the $1000 your uncle gave you and then, each month, you add $55. So the first month the account will have,

After the second month, it will have,

And so on. Therefore, the equation that models your savings s after m months is,

If we want to find how many months it will take to save $10,000 we have to solve the equation for s = 10,000:

To solve it, subtract 1000 from both sides of the equation,

And divide both sides by 55,

It will take at least 164 months to save $10,000.

Answer:

Step-by-step explanation:

Answer:

so it's 1×3=purple then ask y I'd bob

Answer:

\( g = h(s - p) \)

Step-by-step explanation:

\( s = p + \dfrac{g}{h} \)

\( s - p = \dfrac{g}{h} \)

\( h(s - p) = g \)

\( g = h(s - p) \)

Answer:

sh-p=g

Step-by-step explanation:

You simply isolate the variable by

1st miltiplying by h getting you sh=p+g

2nd you subtract p getting you sh-p=g

The correct margin of error for a 68% confidence interval is option D 4 centimeters.

Let's calculate the margin of error correctly for a 68% confidence interval.

To calculate the margin of error, we need to determine the critical value associated with a 68% confidence interval. For a normal distribution, the critical value is approximately ±1 standard deviation.

Given that the standard deviation is 64 centimeters, the margin of error can be calculated as:

Margin of Error = 1 * (Standard Deviation / √Sample Size)

= 1 * (64 / √256)

= 1 * (64 / 16)

= 1 * 4

= 4

Therefore, the correct margin of error for a 68% confidence interval, based on the given information, is 4 centimeters. The correct answer is option D.

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Answer:

D

Step-by-step explanation:

Just took the test

Answer:

the correct answer is $269

Step-by-step explanation:

Answer:

$269

Step-by-step explanation:

For DNA testing the most popular and reliable way to collect samples is the oral buccal swab method.

What is DNA testing?

The Polymerase Chain Reaction (PCR) is the most used type of DNA analysis (PCR). Because PCR testing has improved the success rate of the analysis of old, deteriorated, or extremely tiny biological evidential materials, it has significantly advanced the area of forensic DNA testing.

Businesses compare their data from a database that might not yield conclusive findings. The majority of DNA testing businesses base their DNA accuracy checks on common genetic variants that can be identified in their database. As a result, if you employ various businesses, you can obtain different outcomes.

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Answer:

the answer is 17x+10

Step-by-step explanation:

Answer:

526 X 9= 4734 is the answer.

Answer:

C. y=x

Step-by-step explanation:

If you use a graphing calculator and plot the points (-3,5) & (5,-3) and then graph y=x you can see it is the line of reflection.

Also when reflecting over the line y=x, we switch our x and y.

Answer:

19.375

Step-by-step explanation:

Answer:

Answer 1 is He is taller by 19.375 inches and question 2 answer is 8.808 kilometres left .

Step-by-step explanation:

(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x

The probability mass function p(x) can be derived from the cdf by taking differences:

p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06  x = 10.1  x = 20.17 x = 30.36  x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)

The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.

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Answer:

I just asked my mam but I forgot sorry

The exact value of sin(cos^-1(2/5)) is √21 / 5.

We know that cos(cos^-1(x)) = x for all x in [-1, 1]. Hence,

cos(cos^-1(2/5)) = 2/5

Now we need to find sin(cos^-1(2/5)).

We can use the identity sin^2(x) + cos^2(x) = 1 and substitute cos(x) = 2/5 to get:

sin^2(cos^-1(2/5)) + cos^2(cos^-1(2/5)) = 1

sin^2(cos^-1(2/5)) + (2/5)^2 = 1

sin^2(cos^-1(2/5)) = 21/25

Taking the positive square root (since sine is positive in the first and second quadrants), we get:

sin(cos^-1(2/5)) = √(21/25)

= √21 / 5

Therefore, the exact value of sin(cos^-1(2/5)) is √21 / 5.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The net amount due on the order after partial payment done is $8700

Given,

A retailer purchases some merchandise;

The invoice price for the merchandise = $19,500

Terms of sale for the merchandise = 5/15, n/45

On 15th day partial payment done = $10,800

We have to find the net amount due on the order after partial payment is done.

Here,

Net amount due = Invoice price - Partial payment

Net amount due = 19,500 - 10,800

Net amount due = 8700

That is,

The net amount due on the order after partial payment done is $8700

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Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+7*y-(3914)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

Answer:

y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b

5x+7y=3914

7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

The length of short side x is 4.4641 units, the length of short side x+5 is 9.4641 units and the length of longest side is x+6 is 10.4641 units.

Given:

right angle triangle with hypotenuse x+6 units , sides x and x+5 units.

we know that,

According to pythgorean theorem:

\(hypotenuse^{2} = side^{2} +side^{2}\)

\((x+6)^{2} = x^{2} +(x+5)^{2}\)

\(x^{2} +36+12x = x^{2} +x^{2} +10x+25\)

\(x^{2} +10x-12x+25-36=0\)

\(x^{2} -2x-11=0\)

on solving this quadratic equation using quadratic formula we get,

x = 4.4641 and x = -2.4641(length cannot be in negative).

x+5 = 9.4641

x+6 = 10.4641.

Therefore the length of short side x is 4.4641 units, the length of short side x+5 is 9.4641 units and the length of longest side is x+6 is 10.4641 units.

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To compare 56.607 and 56.617 you have to look at the hundredths place. Given that 0 is less than 1, then 56.607 is less than 56.617

The initial size of the population is 2,500 squirrels.

The squirrel population 12 years from now would be 274,286 squirrels.

It has been given in the question that squirrels were introduced in Britain =35 years ago (i)

The population of squirrels doubles every = 7 years (ii)

This means that during this time, the population has doubled = 35/7 = 5 times (iii)

The population now is = 80,000 (iv)

(a) The initial population can be obtained by using the values of (iv) and dividing it by the double five times -

= 80,000 / (2*2*2*2*2)

= 2,500 squirrels in the initial population

(b) If the previous population doubles every seven years.

And every five years, it increases 5/7 * 2 times.

After 12 years it is going to be = (2 +5/7 *2) * 80,000

=(3.42) * 80,000

= 274,286 squirrels

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We are given that:

Now, recall that when given two congruent triangles the order matters, in this case, the corresponding sides are:

and the corresponding angles are:

Using the CPCTC we get that:

Answer:

Ohh, Elimination Im doing that XD So its

Anwser - No Solution

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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