Find the measure of angle "b" ​

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

[tex]-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114[/tex]

Now we can solve

[tex]-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410[/tex]

Answer:

[tex]-1440[/tex]

Step-by-step explanation:

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

Given:

[tex]-4x^4-3x^3-29x^2-114=[/tex]

[tex]x=-4[/tex]

--------------->>>>

Let's substitute [tex]-4[/tex] for [tex]x[/tex] and solve

[tex]-4(-4)^4-3(-4)^3-29(-4)^2-144=[/tex]

Multiply the exponents

[tex]-4(256)-3(-64)-29(16)-144=[/tex]

Multiply the parenthesis

[tex]-1024+192-464-144=[/tex]

[tex]-832-464-144=[/tex]

[tex]-1296-144=[/tex]

[tex]=-1440[/tex]

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

Hope this helps.

Answer:

60 degress

Step-by-step explanation:

Edgen 2021

60° is the angle at which the hexagon rotate so that it maps onto itself.

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

When a figure has a rotational symmetry, it maps onto itself under rotation about a point at the centre.

When an hexagon rotate onto itself,the vertices must cover to vertices and from sides to sides.

There are six angles in a hexagon and the sum of the angles is 360°. Therefore, each angle has a measure of 360°/6 is equal to 60°.

Rotating subsequently by 60 degree will rotate a hexagon onto itself. A hexagon has 6 rotations, that is, a hexagon has a rotational symmetry of 6 and at angle 60°, the hexagon will rotate onto itself.

Hence,  60° is the angle at which the hexagon rotate so that it maps

onto itself.

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Answer:

[tex]x=-2[/tex] ⇒ [tex]y=2[/tex]

[tex]x=-1[/tex] ⇒ [tex]y=-4[/tex]

[tex]x=0[/tex] ⇒ [tex]y=-6[/tex]

[tex]x=1[/tex] ⇒ [tex]y=-4[/tex]

Step-by-step explanation:

Formula: [tex]y=2x^{2} -6[/tex]

To find the value of [tex]y[/tex] add the value of [tex]x[/tex] given:

Now solve for each:-

For:

[tex]x=-2[/tex]

[tex]y=2(-2)^{2} -6[/tex]

[tex]y=2[/tex]

For:

[tex]x=-1[/tex]

[tex]y=2(-1)^{2} -6[/tex]

[tex]y=-4[/tex]

For:

[tex]x=0[/tex]

[tex]y=2(0)^{2} -6[/tex]

[tex]y=-6[/tex]

For:

[tex]x=1[/tex]

[tex]y=2(1)^{2}-6[/tex]

[tex]y=-4[/tex]

hope this helps.....

Answer:

I've attached the Answer

Step-by-step explanation:

here it is

Answer:

[tex](\sqrt{6}+\sqrt{3})(\sqrt{6}-\sqrt{3})=3[/tex]

[tex](\sqrt{5}-\sqrt{2})(\sqrt{2}+\sqrt{5})=3[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex](\sqrt{6}+\sqrt{3})(\sqrt{6}-\sqrt{3})[/tex]

Notice that this is the difference of two squares pattern. Namely:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

If we let a = √6 and b  =√3, we acquire:

[tex](a+b)(a-b)[/tex]

Expand accordingly:

[tex]=a^2-b^2[/tex]

Back-substitute:

[tex]=(\sqrt{6})^2-(\sqrt{3})^2[/tex]

Simplify:

[tex]=6-3=3[/tex]

For the second expression, we have a similar pattern:

[tex](\sqrt{5}-\sqrt{2})(\sqrt{2}+\sqrt{5})[/tex]

We can first rewrite the expression (commutative property):

[tex]=(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})[/tex]

And if we let a = √5 and b = √2:

[tex]=(a-b)(a+b)[/tex]

Expand accordingly:

[tex]=a^2-b^2[/tex]

Back-substitute and simplify:

[tex]=(\sqrt{5})^2-(\sqrt{2})^2=5-2=3[/tex]

Answer:

c. 165.6 cm²

Step-by-step explanation:

We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:

Area = ½*b*c*Sin(A)

b = 25 cm

c = 25 cm

A = 32°

Area = ½*25*25*Sin(32)

Area = 165.59977

Area ≈ 165.6 cm² (nearest tenth)

Answer:

11,304.0 cm³

Step-by-step explanation:

the volume = π.r².h

= 3.14 × 20² × 9

= 11,304

Answer:

<B = <K

<C = < L

AC= JL

BC= KL

Step-by-step explanation:

The triangles are equel, meaning the letters will be in the same place on a triangle, hope this helps

1) 7/12= 0.58, 4/7= 0.57

they are about 1/2

2) 7/12 + 4/7 = 97/84= 1.15 approximately 1

which is 1m from the option

Answer:

$625.6

Step-by-step explanation:

Information about a holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = February 15

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.

let the cost price be 50x

→he sells 30kg of fruits on it's CP of 35 kg

→CP of 30kg fruits = 30x

→SP of 35kg fruits = 35x

→remaing fruits are 20kg

→he sells 20kg of fruits on CP of 16kg

→CP of 20kg fruits = 20x

→SP of 20kg fruits = 16x

→total CP is = 50x

→total SP is = (35 + 16) = 51x

→SP > CP (it means profit)

→profit = SP-CP

→ 51-50

→ 1

→ Profit% = gain/CP × 100

→ Profit% = 1/50 × 100

→ 2%

Hence the fruit seller had a profit% of 2%.

Answer:

Draw 8 boxes with 8 cupcakes in each one of them.

Step-by-step explanation:

34+30=64, and 64/8 also equals 64.

Answer:

66 in^2

Step-by-step explanation:

Imagine that the figure is a whole square, where the space between is filled in.

Find the area of the imaginary square (l x w):

9 in. x 9 in. = 81 in^2

Lets make that whole square the original figure it used to be (take away the space we “filled in”)

Lets find the area of the space we filled in:

5 in x 3 in= 15 in^2

Subtract the imaginary square’s area by the area of the space that was originally blank:

81 in^2 - 15 in^2 = 66 in^2

66 in^2 IS YOUR FINAL ANSWER, that is the real area of the composite figure you have.

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

y ≤ x - 2

Step-by-step explanation:

Using the coordinate points on the graph (0, -2) and (2,0)

The general equation of the line will be y = mx+b

Slope m = 0-(-2)/2-0

m = 2/2

m = 1

From the coordinate (0, -2), this shows that the y intercept is -3

Get the equation

y = 1x + (-2)

y = x - 2

Since the line is a thick line and shaded towards the negative y-axis, the required inequality expression will be y ≤ x - 2

Answer:

20

Step-by-step explanation:

Take note of the important information/key words:

60 total ornaments

3 grandchildren

Divide them evenly

Set up an equation:

60 ornaments ÷ 3 grandchildren = ornaments per grandchild

60 ÷ 3 = 20 ornaments per grandchild.

In other words, each grandchild will receive 20 ornaments.

Answer:

Step-by-step explanation:

[tex] = > 12 \times 2[/tex]

[tex] = 24[/tex]

Answer:

9. a) 180 - (55+90) = a

b) a=35 degrees

10. a) 2w + 3w + 40 = 180

b) w=28

c) 2w=56      3w=84

Step-by-step explanation:

Answer:

the person above is 100% right trust me :)

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

Answer:

See in details.

Step-by-step explanation:

Categorical data don't have any logical order and it can't be translated into a numerical value.

Numerical data are numbers and they represent some order and value.

Answer:

2/11 x + 70/11

Step-by-step explanation:

Given the coordinate (-2, 6), (9,8), the equation in standard form is of the form y = mx+b

m is the slope = 8-6/9-(-2)

m = 2/11

Get the y-intercept

Substitute m = 2/11 and (-2, 6) into the expression y = mx+b

6 = 2/11(-2)+b

6 = -4/11 + b

b = 6 + 4/11

b = (66+4)/11

b = 70/11

Get the required equation

y = 2/11 x + 70/11

Hence the required equation is 2/11 x + 70/11

Answer:

x = 2

Step-by-step explanation:

AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12

DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5

To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:

AE * BE = DE * CE

Now, we can substitute and solve:

(x + 12)(x + 1) = (x + 5)(x + 4)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 = 9x + 20

4x + 12 = 20

4x = 8

x = 2

Answer:

37.854

Step-by-step explanation:

59.73-21.876=37.854

Answer:

6

Step-by-step explanation:

4+x-3=2x-5

1+x=2×-5

2x-x=6

x=6

Answer:

$2,226.20

Step-by-step explanation:

[tex]a_{5}[/tex] = 500e^5(0.03)

Answer:Decreasing

Step-by-step explanation:

The line is going down.

The given graph is decreasing. The correct option is A.

Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.

Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.

Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.

In given figure the line goes to downwards and the vales of y is decreasing  for the increasing values of x.

Hence, the given graph is decreasing. The correct option is A.

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Answer:

Fewer than 286

Step-by-step explanation:

Average daily guest = visitors per week / number of days in a week

2000 / 7 = 285.7 = 286 guests

The criteria that is excluded from national benchmark test is Qualitative literacy. That is option C.

National Benchmark Test is an academic assessment test usually written by students that are about entering the university.

The National Benchmark Tests comprise three multiple choice tests, written as:

Qualitative literacy is the ability to understand and interpret qualitative evidence. It is not included in the national benchmark test criteria.

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Answer:

250

Step-by-step explanation:

Given

[tex]n =3[/tex] --- digit code

[tex]First = Even[/tex]

[tex]Last=Odd[/tex]

Required

The different combination of codes

The set of even number is:

[tex]Even = \{0,2,4,6,8\}[/tex]

The set of odd is:

[tex]Odd = \{1,3,5,7,9\}[/tex]

This means that:

The first can be any of the 5 even digits

The last can be any of the 5 odd digits

Since there is no restriction in selection;

The [tex]second[/tex] can be [tex]any[/tex] of [tex]the[/tex] 10 digits

So, the possible combination (k) is:

[tex]k =5 * 10 * 5[/tex]

[tex]k =250[/tex]

Answer:

x is equal to 12 which represents the situation

Answer:

4th Option isn't a function

Step-by-step explanation:

it is because a domain can't have two images in the co domain set

Hope it helps

Please mark as brainliest

Answer:

"D" (the fourth one....(7,1),(6,2)....

a "function" is a very specific relationship in math...

for a relationship to be "a function" every possible INPUT (x-values) has to map (correspond) to a UNIQUE output value (Y-value)

a line is a function (all x's have unique y values.

A circle is NOT ..... at the center (x-value) there are two y values (one above and one below)

in your problem answer "D" the "x-value" "5" has two different "y-values"

3 and 4

Step-by-step explanation: