product of -2/3 and 5 2/4?​

Answers

Answer 1

Answer: [tex]-\frac{11}{3}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} *5\frac{2}{4} \\\\\\=-\frac{2}{3} *5\frac{1}{2} (5\frac{1}{2} =\frac{5*2}{2} +\frac{1}{2} =\frac{10+1}{2} =\frac{11}{2})\\\\\\=-\frac{2}{3} *\frac{11}{2} =-\frac{11}{3}[/tex]


Related Questions

Which of the relations given by the following sets of ordered pairs is not a function?
0 [(5,0), (4,0), (3,0), (2,0), (1,0)}
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)}
{(-8,3), (- 6,5), (- 4,2), ( - 2,7), ( - 1,4)}
{(-6,4), ( – 3, - 2), (0,5), (1, - 2), (2,3)}

Answers

Answer:

{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.

Step-by-step explanation:

For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.

I need help ASAP !!!!

Answers

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}

Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Answers

Answer:

height of the tree ≈ 8.42 m

Step-by-step explanation:

The diagram given represents that of two similar triangles. Therefore, the corresponding lengths of the similar triangles are proportional to each other.

height of tree = h

Therefore:

1.45/h = (31.65 - 26.2)/31.65

1.45/h = 5.45/31.65

Cross multiply

h*5.45 = 1.45*31.65

h*5.45 = 45.8925

h = 45.8925/5.45

h ≈ 8.42 m (nearest hundredth)

What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178} 38 41 46 50

Answers

Answer:

50

Step-by-step explanation:

Given:

140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178

Arranging in ascending order (from the lowest to the highest)

= 132, 140, 142, 147, 149, 152, 158, 163, 165, 166, 168, 171, 173, 177, 178, 180, 180 181, 182

Range = highest number - lowest number

= 182 - 132

= 50

Answer:

50

Step-by-step explanation:

              None

                     

             

             

 

         

hi can you help me in mate plis
simplify the following algebraic expressions​

Answers

Answer:

3b

Step-by-step explanation:

[tex]\dfrac{24a^2b^4c^3}{8a^2b^3\sqrt[3]{c^9}} =[/tex]

[tex] = 3a^{2 - 2}b^{4 - 3} \times \dfrac{c^3}{c^\frac{9}{3}} [/tex]

[tex] = 3a^{0}b^{1} \times \dfrac{c^3}{c^3} [/tex]

[tex] = 3bc^{3-3} [/tex]

[tex] = 3bc^{0} [/tex]

[tex] = 3b [/tex]

Can x3 – 3x + 1 be the quotient on division of x5+ 2x3 + x – 1 by a polynomial in x of degree 3? Justify​

Answers

Answer:

No

Step-by-step explanation:

x⁵ + 2x³ + x - 1  -> degree of  the polynomial is 5

So, when x⁵ is divided by x³, the quotient should be x⁵⁻³ = x².

So, x³ - 3x + 1 cannot be a quotient

Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities

Answers

Step-by-step explanation:

Given that,

The positions of the first particle,[tex]s_1=4t-t^2[/tex]

Velocity,

[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]

Position,

[tex]s_2=5t^2-t^3[/tex]

[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]

Hence, this is the required solution.

Which relation is a function?

Answers

Answer:

the function is the solution is done using the operation

a function is where there is only one output for every input. so when you plug in an x value, you should be getting only one y value.

it’s not the first one because you can see there are two points at (-1,0)
it’s not the second one because you can see there are two points at (0,0)
it’s not the fourth one because again there are two points at (-2,0) and (2,0)

it’s the third one because there is only one y value for every x value.

If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the​ wind, find the speed of the wind and the speed of the plane in still air.​

Answers

Answer:

Below.

Step-by-step explanation:

Ok so, Since its 510 - x = 410. Speeds equals the wind.

SO?

100=2x

x=50

410+50 = 460!

Situation:
Find the age of
A student in Greece discovers a pottery
bowl that contains 28% of its original
amount of C-14.
Ent
N= Noekt
No
= inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years

Answers

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

[tex]28=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].28=e^{-.0001t}[/tex] . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

[tex]\frac{ln(.28)}{-.0001}=t[/tex] and

[tex]\frac{-1.272965676}{-.0001}=t[/tex] so

t = 12729.65676 years or rounded, 12730 years.

One number is 96 more than another. Their ratio is 5:17. Find the numbers

Answers

Answer:

40 and 136

Step-by-step explanation:

The ratio of the 2 numbers = 5 : 17 = 5x : 17x ( x is a multiplier )

One number is 96 more than the other then

17x = 5x + 96 ( subtract 5x from both sides )

12x = 96 ( divide both sides by 12 )

x = 8 , then

5x = 5 × 8 = 40

17x = 17 × 8 = 136

The 2 numbers are 40 and 136

Find the length of AC. Round to the nearest hundredth if necessary.

Answers

i belive the answer is c

Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right

Answers

Since the shape won’t change. It won’t deform, nothing will happen to the interior angle.

So the interior angle would still be 135

if A×B ={(-1,1),(-1,2),(2,1),(2,2),(3,1),(3,2)}. find A×A and B×B. i need for exam.​

Answers

Answer:

hope this will help you more

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

stay safe healthy and happy

In a direct variation, the ratio of y -values to x -values is equal to a constant.
True or False?

HELP PLEASE

Answers

Answer:

True

Step-by-step explanation:

The equation of direct variation is

y = kx ← k is the constant of variation

To find k divide both sides by x

[tex]\frac{y}{x}[/tex] = k

That is the constant is the ratio of y- values to x- values

A certain polygon has its vertices at the following points: (1, 1), (1, 8), (8, 1), and (8, 8)

Answers

Answer:

Can u explain more pls?

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know σ, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Will her interval be longer or shorter than one obtained by using an appropriate Student's t distribution? Explain.

Answers

Answer:

Shorter

Step-by-step explanation:

When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40

At α = 0.05 ;

Tcritical, df = 40 = 2.02

Zcritical = 1.96

Which graph below shows the solutions for the linear inequality v2-3x+1?
A
B
10, 1)
(0.1)
с
D
10.1)
16,-1)
16,-1)

Answers

Answer:

A. Graph D

Step-by-step explanation:

y >= -1/3x + 1

this means all the y values that are bigger (= above) than the line definition.

and because it says ">=", the line is included.

Find the distance between each pair of points. Round to the nearest tenth if necessary.
(4,2) and (-6, -6)

Answers

Answer:

Radical (20)

Step-by-step explanation:

Radical ( (4-6)² + (2-6)²)) =radical ( 4+16) = radical (20)

From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building? ​

Answers

Answer:

188 m

Step-by-step explanation:

[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]

Answer:

I think that the other answer is WRONG

tan(12) = [tex]\frac{x}{40}[/tex]

x = tan(12)*40 = 8.5

Step-by-step explanation:

[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5

A nunber when divided by 12 gives remainder 7 if the same number is divided by 6 the remainder must be ?

Answers

Answer:

1

Step-by-step explanation:

Let the number be n.

We are given:

n/12=q1+(7/12) where q1 is the quotient

n/6=q2+(?/6) where q2 is the quotient and ? is the remainder value we are trying to find.

? must be a integer between 0 and 5, inclusive. A remainder cannot be bigger than or equal to the divisor.

Let's rewrite the first equations

Multiply equation 1 on both sides by 2:

n/6=2q1+7/6

Remainder cannot be 7.

Rewrite again.

6 goes into 7 1 time with remainder 1.

n/6=2q1+(1+1/6)

n/6=(2q1+1)+1/6

So q2=2q1+1 and the remainder is 1 when dividing n by 6.

For fun. What is a number n with such conditions on it?

So what number has remainder 7 when divided by 12 and a remainder 1 when divided by 6.

n=12q1+7

n=6q2+1

If q1=1, we find a number right away that works.

19/12=1+7/12

19/6=3+1/6

To make some draperies, an interior decorator needs 12 1/4 yards of material for the den and 8 1/2 yards for the living room. If the material comes only in 21-yard bolts, how much will be left over after completing both sets of draperies?

Answers

Answer:

1/4 of a yard of material

Step-by-step explanation:

First, we must convert both 12 1/4 yards and 8 1/2 yards to quarters. Since 1/2 of a yard is equal to 2/4 of a yard, 8 1/2 yards will be equal to 8 2/4 yards. 8 yards + 12 yards = 20 yards, and 2/4 of a yard + 1/4 of a yard = 3/4 of a yard, so you get 20 3/4 of a yard to finish the draperies. To find the leftover material, do 21 yards - 20 3/4 yards = 1/4 of a yard of material. Hope this helps!

Managers of a movie theater company want to learn more about what types of premium services their customers who participate in the theater's loyalty program most desire and would be willing to pay a premium price for. The managers use a computer program that selects customers in a lottery style from the company's database to receive an online survey and loyalty points for completing the survey about premium services. What kind of sampling technique do the movie theater managers use

Answers

Answer: Simple random sampling

Step-by-step explanation:

Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.

In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.

Complete the function for this graph.

Answers

Answer:

[tex]y=|x-(-2)|+2[/tex]

Step-by-step explanation:

Hope this is helpful.

The required absolute function is given as y = |x - 2| + 2.

Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2

Thus, The required absolute function is given as y = |x - 2| + 2.

learn more about function here:

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The Marked price of an article was fixed to Rs 1380 by increasing 15% on its actual price. Find the actual price.​

Answers

Answer:

The actual price of the article was Rs. 1200.

Step-by-step explanation:

mp (marked price)

ap (actual price)

[tex]mp = 1380[/tex]

[tex]mp = ap + 15\%(ap)[/tex]

[tex]1 380 = ap + \frac{15}{100} ap[/tex]

[tex]1380 = \frac{100}{100} ap + \frac{15}{100} ap[/tex]

[tex]1380 = \frac{115}{100} ap[/tex]

[tex]1380 \div \frac{115}{100} = ap[/tex]

[tex]1380 \times \frac{100}{115} = ap[/tex]

[tex] \frac{138000}{115} = ap[/tex]

[tex]1200 = ap[/tex]

The actual price of the article is given by the equation A = $ 1,200

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the actual price of the article be A

Now , the equation will be

The marked price of the article be = $ 1380

The percentage of increase from the actual price = 15 %

So , the equation is

The actual price + percentage of increase from the actual price = 1380

Substituting the values in the equation , we get

A + ( 15/100 )A = 1380   be equation (1)

( 115/100 ) A = 1380

Multiply by 100 on both sides of the equation , we get

115A = 138000

Divide by 115 on both sides of the equation , we get

A = $ 1200

Therefore , the value of A is $ 1200

Hence , the actual price of the article is $ 1200

To learn more about equations click :

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could someone help im really bad at polynomials

Answers

Answer:2x^2 + 7x - 30

Step-by-step explanation:

1. x(2x-3)(x+3)^2

2. x(2x-3)(x+10)

3. 2x^2+10x-3x-30

4. 2x^2+7x-30

Two triangles are similar. A side of one is 2 units long. The corresponding side of the other is 5 units long. What is the ratio of:
A) their perimeters?
B) their areas?​

Answers

Answer:

b

Step-by-step explanation:

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 60.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{HI}[/tex] = [tex]\frac{3.9}{2.2}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{3.9}{2.2}[/tex] ) ≈ 60.6° ( to the nearest tenth )

To solve the equation t? - t = 12 by factoring, you would use
t(t - 1) = 12
Ott - 1) - 12 = 0
(t - 4)(t + 3) = 0

Answers

the answer is : t= 4 , -3

Answer:

it is what it is

Step-by-step explanation:

helpppppppppppppppppp

Answers

Answer:

Dude

sheesh i only seeing 5 and 18
The answer is 5 it is the only number that can be multiplied by another number to get 10
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