Multiply.

[−12⋅47]⋅[−14⋅(−0.1)]

What is the product?

Answer:

(9/10 mile)/(5/3 hour) = 27/50 miles/hour

Step-by-step explanation:

If you are looking for the speed, then speed = distance/time

speed = (9/10 mile)/(5/3 hour)

speed = 9/10 ÷ 5/3 miles/hour

speed = 9/10 × 3/5 miles/hour

speed = 27/50 miles/hour

Answer:

1. 9/10/3/5

2. 3/2

Step-by-step explanation:

Got it correct on iReady.

Answer:

yes ASA

Step-by-step explanation:

Answer:

The quantities used by Manuela were correct

Step-by-step explanation:

The question is

Did Manuela use the right quantities?

Let

x -----> the parts of oil

y ----> the parts of vinegar

we know that

The ratio of the parts of oil by the parts of vinegar of recipe is

Determine the relation used by Manuela

Compare with the recipe

Is true, the quantities are proportional

therefore

The quantities used by Manuela were correct

Answer: P(t) = 1.25.sin(\(\frac{\pi}{3}\).t) + 5.65

Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:

y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D

where:

A is amplitude A=|A|

B is related to the period by: T = \(\frac{2.\pi}{B}\)

C is the phase shift or horizontal shift: \(\frac{C}{B}\)

D is the vertical shift

In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.

Amplitude:

a = \(\frac{largest - smallest}{2}\)

At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:

a = \(\frac{6.9-4.4}{2}\)

a = 1.25

b

A time period for Pluto is T=66 years:

66 = \(\frac{2.\pi}{b}\)

b = \(\frac{\pi}{33}\)

Vertical Shift

It can be calculated as:

d = \(\frac{largest+smallest}{2}\)

d = \(\frac{6.9+4.4}{2}\)

d = 5.65

Knowing a, b and d, substitute in the equivalent positions and find P(t).

P(t) = a.sin(b.t) + d

P(t) = 1.25.sin(\(\frac{\pi}{3}\).t) + 5.65

The Pluto's distance from the sun as a function of time is

P(t) = 1.25.sin(\(\frac{\pi}{3}\).t) + 5.65

Answer:

P(t) = 1.25.sin(.t) + 5.65

Step-by-step explanation:

Answer:

-0.6

Step-by-step explanation:

3/5 is 0.6 and the negative makes it -0.6.

Answer:

-0.6

Step-by-step explanation:

Answer:

Solution given:

1.

L.h.s.

cscx+cotx

\( \frac{1}{cosx}+\frac{cosx}{sinx}\)

\(\frac{1+cosx}{sinx}\)

multiplying and dividing by (1-cosx)

\(\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}\)

\(\frac{1-cos²x}{sinx(1-cosx)}\)

we have

1-cos²x=sin²x

\(\frac{sin²x}{sinx(1-cosx)}\)

\(\frac{sinx}{1-cosx}\)

=R.h.s.

proved.

2.

l.h.s

\(\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}\)

\(\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}\)

\(\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}\)

\(\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}\)

\(\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}\)

\( \frac{sin³y -cos³y}{sinycosy(siny -cosy)}\)

\( \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}\)

\( \frac{sin²y+cos²y +siny cosy}{sinxcosy}\)

\( \frac{1+sinxcosy}{sinycosy}\)

\(\frac{1}{sinycosy}+1\)

1+cscysecy

R.h.s.

proved.

Answer:

To figure out if both triangles are similar, we will use the relation below

The two triangles both have the same scale factors as

The ratio of their corresponding sides are equal therefore,

Triangle 1 is similar to triangle 2,and the included angles are equal because they are both 90°, so by the SAS similarity theorem, the two triangles are similar.

b) Suppose the sculptor makes both prisms with the same height.

To determine the prism to have the great volume, we will first calculate the volume factor

By substituting the values, we will have

Let the volume of the from triangle 1 be

Let the volume from triangle 2 be

Volume of the smaller prism will be

Volume of the larger prism will be

Hence,'

To determine the number of times the larger prism is bigger than the smaller prism, we will use the formula below

Hence,

The volume of the prism from triangle 2 is 1.44 times greater than the volume from triangle 1

A coin that independently flips heads with a probability of p. Then, the variance in the number of flips X until the kth head appears is  \(\frac{kq}{p^2}\).

The geometric distribution discusses the number of trials required for each success. Let random variable X be the number of trials needed to get the first success. This variable is a geometric random variable. And the geometric distribution with parameter p is the probability distribution of this variable.

Now, let's consider the number of coin flips to get a head as a geometric random variable (\(X_i\)) with a parameter p. Assuming that X number of coin flips until k heads, \(X=\sum_{i=1}^{k}X_i\). Then, the variance is calculated as,

\(\begin{aligned}\mathrm{Var}[X]&=\mathrm{Var}\left[\sum_{i=1}^{k}X_i\right]\\&=\sum_{i=1}^{k}\mathrm{Var}[X_i]\\&=\sum_{i=1}^{k}\frac{1-p}{p^2}\\&=\frac{k(1-p)}{p^2}\\&=\frac{kq}{p^2}\end{aligned}\)

Since 1-p=q, the required variance is \(\frac{kq}{p^2}\).

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Answer:

$15

Step-by-step explanation:

Simply divide 120 by 8 to get your answer.

Answer:

y=8x+5

Step-by-step explanation:

m = slope

b = y-intercept

Answer:

0.44 is the correct answer

Answer:

.44

Step-by-step explanation:

11/25

Multiply the top and bottom by 4

11*4

-------

25*4

44

-----

100

The decimal is .44

Answer:

Step-by-step explanation:

y=4x + (7/2)

when x=5

y=4(5)+ (7/2)

 =20+3.5             or         20+ (7/2)

 =23.5                 or          (40+7)/2 =47/2 =23.5

Answer:

6561

Step-by-step explanation:

Answer:

6561 is the answer.

Step-by-step explanation:

-9^4

= -9×-9×-9×-9

= 6561

Answer:

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

------------

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

------------

Extra info:

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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Answer:

4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

There are 200 factory workers employed at steel mill.

Step-by-step explanation:

Let the total number of workers employed at steel mill be 'x'.

Now Given:

Percentile Number of workers purchased breakfast = 26%

So we can say that;

Number of workers purchased breakfast = \(\frac{26}{100}x=0.26x\)

Also Given:

Number of workers brought breakfast from home = 148

Solution:

Now we can say that;

total number of workers employed at steel mill is equal to sum of Number of workers purchased breakfast and Number of workers brought breakfast from home.

framing in equation form we get;

\(x=0.26x+148\)

Combining the like terms we get;

\(x-0.26x=148\)

\(0.74x=148\)

Dividing both side by 0.74 we get;

\(\frac{0.74x}{0.74} =\frac{148}{0.74}\)

\(x=200\)

Hence There are 200 factory workers employed at steel mill.

Answer:

2/10 I believe

Step-by-step explanation:

3/10 + 4/10= 7/10

9/10 - 7/10 = 2/10

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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The measure of angle m<BAC = 110 and the measure of angle m<ABC = 35.

The angle sum property of the triangle state that the sum of interior angles of triangles is 180.

<CDB = 55 (Given)

By degree measure theorem

<CAB = 2 <CDB

<CAB = 2 * 55 = 110

Again AC = AB (Radius of the circle)

Then

<ACB = <ABC (angles opposite to equal sides)

let <ACB = m

In triangle ACB,

By angle sum property: <ACB + <ABC + <CAB =180

m + m + 100 = 180

2m = 180 - 110

2m = 70

m = 70/2 = 35

<ACB = <ABC = 35

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

Step-by-step explanation:

To solve this problem, we need to find the slope of the line that represents the increase in sales over the years. We can use the formula for the slope of a line:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line. We can choose the points (3, 165000) and (8, 320000) since we know the sales in their third and eighth business years.

slope = (320000 - 165000) / (8 - 3)

slope = 31000

This means that for each additional business year, the sales increase by $31,000. To predict the sales in their tenth business year, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope we just found, and (x1, y1) is any point on the line. We can use (8, 320000) as the point, since we know the sales in their eighth business year and want to predict the sales in their tenth business year, which is two years later.

y - 320000 = 31000(x - 8)

Simplifying the equation, we get:

y = 31000x + 64000

To find the predicted sales in their tenth business year (x = 10), we substitute x = 10 into the equation:

y = 31000(10) + 64000

y = 310000 + 64000

y = 374000

Therefore, the predicted sales in their tenth business year is $374,000.

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

No

Step-by-step explanation:

To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.

Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values.  Still need to check if each x-value has a unique corresponding y-value.

Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).

Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.

Answer:

so i think answer of this quiestion is option D

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

69

Step-by-step explanation:

just plug in 5 for all the x in the equation and mulitply

Answer:

jejeiriiririrurur7urur

Answer:

D

Step-by-step explanation:

when there are exponents with same bases multiplied by each other, keep the base and add the exponents

4^(3)+4^(5)=4^8

4^8 is D in this question