Use the equation to answer the following question.
3x2 + 7x - 20 = 0
What are the solutions of the equation?
Ο Α.
5
X=- and x = 4
3
B
X =
4
and x = 5
3
O C
4
X= and x = -5
3
D
x - an
and x = -4

Answer:

y=-3

Step-by-step explanation:

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

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

Answer:

BC = 205.8 feet

Step-by-step explanation:

We only have one side, DB, so we have to use the given angles rather than the Pythagorean theorem.

Answer:

BC ≈ 205.8 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{67}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 67 ( divide both sides by cos71° )

BC = [tex]\frac{67}{cos71}[/tex] ≈ 205.8 ft ( to the nearest tenth )

On solving the provided question, we can say that - the both triangle similar triangle ABC and triangle DEF

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

AB = DE

BC = EF

AC = DF

so, by SSS both triangles are similar

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Hence option (B) is a correct choice and rest all other options are incorrect

1/b^2 ∑ (-1)^k(t^2/b^2)^k                                        
                             

Step-by-step explanation:

 Remember that the sum of infinite GP is given by the formula blow:
First term=a
Common ratio=r

S=a/1 - r                                          

Wherever the common ratio r falls within the interval (-1,1)

When the given series is compared to the infinite sum:

First term=a
Common ratio=r
S=  a/1-r = 1/b^2+t^2
Now given: |t| < |b|=0<t^2/b^2<1
S=1/B^2.1/1-(-T^2/B^2)
=A=1
R=-T^2/B^2
Writing the general form:

Hence option (B) is a correct choice.

What are real numbers simple definition?

Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. All the natural numbers, decimals and fractions come under this category.

INCOMPLETE QUESTION: if b and t are real numbers such that 0<|t|<|b|, which of the following infinite series has sum 1b2 t2
A) 1/b^2 ∑(t^2/b^2)^k.
B) 1/b^2 ∑(-1)^K(t^2/b^2)^k.
C)B^2∑(T^2/B^2)^K
D)b^2∑(-1)(t^2/b^2)^k

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A. 175π units

‎‎‎‎‎‎‎‎‎‎

Answer:

You are bord and I'm stuck in a Geometrie assignment because I have a lot of missing work so I have to submit them before June 05 :(

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

- listen to music

- if u have a sibing brag to them that u have  freands and they dont

- go get Starbucks

- listen to true crime stores

thats what i do

The Truth Table in logic gate is  used to specify the output of the logic gate for all possible combinations of the input signals. , it is the breakdown of all the possible truth values returned by the logical expression.

What is Truth Table ?

The truth table is a tabular representation of all combinations of values for inputs and their respective outputs.

It can be called as a mathematical table which shows all possible outcomes that would occur from all the possible scenarios that are considered as  factual.

Truth tables are generally used for the logic problems as in Boolean algebra and electronic circuits.

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Answer:

Step-by-step explanation:

A truth table for a logic gate is the table that specifies the logic value/state of the output of the gate for all possible combinations of the logic states of all inputs.

Let's take the example of the AND gate with two logic inputs A and B and one output Y.

A    B    Y

0    0    0

0    1     0

1     1     1

1    0     0

This is the truth table for the AND gate.

Remember SohCahToa

For this let's use sine.

SinA = opposite/adjacent

SinA = x/c

We know c = 8 and A = 21

Sin21 = x/8

x = (sin21)8

Put that in the calculator:

hope this helps :D

Answer: w=14 cm

Step-by-step explanation: w=A

l=266

19=14cm

Answer:

Area = length x width

so you do 266/19 = 14

hope that answers your question

Don't hesitate to comment if you don't understand something.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.

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For the described situation, y  = 6sin ( (π / 10) x )  -  10 is the sine function.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Asin(Bx)+C is the usual sine function formula.

A buoy bobs 6 meters up and down.

That is, the amplitude of the buoy shifts by 6 meters both vertically and horizontally.

A=6 Amplitude

The x-axis distance that constitutes one complete oscillation is known as the period.

We are aware that it takes a buoy 10 seconds to go from its greatest position to its lowest point (half oscillation).

20 seconds make up the complete oscillation period.

⇒ 20 (B) = 2π

B=2π /20

= π/ 10

Given that the buoy is 10 meters under the ocean's surface, C equals –10.

Using the formula's whole range of values:

⇒y  = 6sin ( (π/ 10) x )  -  10

The midline is the initial point.

x=0 is the first point.

⇒y=6sin(0)-10

y= -10

The line is drawn from the origin at y = -10.

Either the highest or smallest value is at the second point.

Therefore, (5,-4) and (15, -16.)

Therefore, for the described situation, y  = 6sin ( (π / 10) x )  -  10 is the sine function.

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Complete question:
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Assume at x = 0 the buoy is at normal ocean depth. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Answer:

Yes, the zeros can be used as place holders. When using place holders, the value does not change.

Answer:

A and D

Step-by-step explanation:

Ok so first, if you slice parallel to the base, you can get a square.

If you slice parallel to a face, you get a triangle.

''By taking log'' on both side Mike solve this equation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 37ˣ = 12

Now,

Since, The expression is,

⇒ 37ˣ = 12

Solve this expression as;

⇒ 37ˣ = 12

Taking log both side, we get;

⇒ log 37ˣ = log 12

⇒ x log 37 = log 12

⇒ x = log 12 / log 37

⇒ x = 1.08 / 1.57

⇒ x = 0.69

Thus, The value of x = 0.69

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Answer: 78°

Similar triangles are different from congruent triangles. Congruent triangles have equal angles and sides, while similar triangles have equal angles and proportional side lengths. In this case, because the triangles are similar, the angles should be equal. The sum of the angles of triangles are always 180°. Because triangle ABC has angle measures of 28° and 74°, the equation should appear as 28+74+x=180. Add the like terms to get 102. Subtract 102 on both sides to get x=78. Although we only solved for Triangle ABC, again, similar triangles have the same corresponding angle measures, so it applies to Triangle DEF, as well.

The equation of the linear function after a translation down 9 units is given as follows:

f(x) = x - 11.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph of the function crosses the y-axis at y = -2, hence the intercept b is given as follows:

b = -2.

When x increases by 2 units, from x = 0 to x = 2, y increases by 2 units, from y = -2 to y = 0, hence the slope is calculated as follows:

m = 2/2.

Then the function is of:

y = x - 2.

After the translation down 9 units, 9 is subtracted from the function, hence:

f(x) = x - 2 - 9

f(x) = x - 11.

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UPDATED:

Plato users: answer is now A:

"The 3rd nap is the least consistent in duration because its

standard deviation is the highest."

they just shuffled the answers, the answer choice itself is still the same, just a dif letter choice

< 26 / Jan / 2022 >

The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.

Standard deviation is a measure of variation from the mean; it tells how different values are from the mean.  

We have given that,

A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviation, SD, for each nap are recorded in the table below.

Now, For that nap to have a higher standard deviation means that its values were on average more different from the mean than the others.

Thus, The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.

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The upper bound of a is 3.13.

The smallest amount that would round up to the following anticipated value is the upper bound.

The number of digits that contribute to a value's level of precision is known as significant figures and is typically found in measurements. As soon as a digit is non-zero, we begin calculating significant numbers.

Given in the question

v = 37. 6

u = 11. 3

t = 8. 4

To find:- a = (v - u)/t

Solution: -

Since finding the upper boundary for a

Upper boundary =  (upper v - lower u) / (lowest t)

So putting the value values of v, u, t in we get the value

a = (37.6 - 11.3) / 8.4

Therefore the value of a = 3.13

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The resulting polynomial in standard form (b)  –4g^4 –3g³ +4g² +5g +3

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

Given

Add: (g² – 4g^4 + 5g + 9) + (–3g³ + 3g² – 6)

Combine Like Terms

g²  + (–4g^4) + 5g + 9 + (–3g³) + 3g²  + (–6)

The like terms are the g² terms and the constants;

= (1 +3)g² + (–4g^4) +5g +(9 +(–6)) +(–3g³)

 = 4g² +(–4g^4) +5g +3 +(–3g³)

Write in Standard Form

In this form, the terms are written in order of decreasing degree.

= –4g^4 –3g³ +4g² +5g +3

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Tony must give 3 pencils to Peter,

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let Peter has x pencils and Tony has y pencils.

Then, we have equation x=3y (Peters pencils are 3 times as Tony).

Total pencils =  30+14

                     = 44 pencils.

So, x + y=44

Put x= 3y we get

3y+ y= 44

4y= 44

y= 11

Thus, Tony must give 3 pencils to Peter,

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Answer:

I think one of the easiest ways to check the answer to a factoring problem is to foil. This will tell you if you factored correctly. Once you have answers you put the answers back into the original equations to see if both sides are equal. These are very general ideas.

Hope this help you!:)

The Answer is ...

f = 27

Answer:

y=179

Step-by-step explanation:

the statement is true.

you need to replace (x) for 4 and solve

y= 40(4) + 19

y=160 + 19

y=179

it costs 179$ for 4 weeks so the statement is true

Answer:

(3, 5 )

Step-by-step explanation:

Given the 2 equations

2x - 4y = - 14 → (1)

- 8x + 4y = - 4 → (2)

Adding (1) and (2) term by term will eliminate the y- term

- 6x + 0 = - 18

- 6x = - 18 ( divide both sides by - 6 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

- 8(3) + 4y = - 4

- 24 + 4y = - 4 ( add 24 to both sides )

4y = 20 ( divide both sides by 4 )

y = 5

solution is (3, 5 )

Answer:

Triangle MHT and Triangle TMA are congruent.

If you reflect over the dotted line, point H and A will be on the same point. The triangles are also the same shape and same size.

Answer:

4

Step-by-step explanation:

use the distace formula:

square root of (x2-x1)^2 + (y2-y1)^2

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