The given figure shows the intersection of plane Swith a square pyramid

Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

The value of the given 2 digits number when the tens place digit is x write in terms of x is; 10x + y

We are given that the sum of a two digit number is 5.

Now, if the number is xy, then we can say that;

x + y = 5

Since x is the tens place digit, then we can say that the value of x is 10x and as such the value of the 2 digits is written as;

10x + y

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The number of white rabbits that are at the farm is 60

From the question, we are to determine the number of white rabbits that are at the farm

From the given information,

There are 210 rabbits at the farm

and

For every 5 gray rabbits, there are 2 white rabbits

Then, we can write that

5x + 2x = 210

Where x is the number of groups of 5 gray rabbits and 2 white rabbits

Then,

7x = 210

x = 210/7

x = 30

The number of white rabbits is 2x

∴ Number of white rabbits = 2×30

Number of white rabbits = 60

Hence, the number of white rabbits that are at the farm is 60

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The equation that represents the situation will be 4y = 5x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs.

The machine produces five objects in four minutes.

Let y be the number of objects and x be the number of the minutes.

Then the equation that represents the situation will be

 y = (5/4)x

4y = 5x

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User-generated content is the idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh.

User-generated content (also known as UGC or consumer-generated content material) is original, emblem-particular content material created by customers and published on social media or other channels. UGC comes in many paperwork, inclusive of photos, films, opinions, a testimonial, or even a podcast.

User-generated content (UGC) has become an essential part of the content material advertising method within the present day era in which customers are prepared to rave about your products or services online. UGC refers to the content this is created through the users of a logo.

Types of User-Generated Content

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first know it in a simple way

that,3-1=2 right so if we add base and numbers in power , because it has same base when x i.e x to the power 1 goes up

Step-by-step explanation:

x^3/x^1

now

x^3 *x^-1

x^3-1

x^2

proved

Step-by-step explanation:

all real numbers not equal to 0

all real numbers

Step-by-step explanation:

[tex]What \ is\ the \ range \ of \ y = log_8x?\\x > 0 \ or\ x\in(0;\infty).\\Answer: \ all \ real \ numbers \ greater\ than \ 0.[/tex]

The ball will hit the ground after 2.355 secs

The velocity of an object the change of displacement with respect to time.

Given the function that represents the height of football ground

h(t) = -16t^2+36t+4

The ball will hit the ground at the point where the height h(t) = 0

Substitute

-16t^2+36t+4 = 0

16t^2-36t-4 =0

4t^2-9t-1= 0

Factorize

t = 9/8 + √97/8

t = 9/8 + 1.23

t = 2.355secs

Hence the ball will hit the ground after 2.355 secs

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Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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See below for the proof that sides BC and DE are congruent

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

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Answer:

The answer is 32

Step-by-step explanation:

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Answer:

3/4

Step-by-step explanation:

The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.

You would then need to simplify...

6/2=3

8/2=4

which which lead you to 3/4!

Answer:

-56√3x

Step-by-step explanation:

√147 = 7√3

-8(7√3x)

-56√3x

5000 square feet is the largest area that can be enclosed

It is given that a rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn there are and there is 200 feet of fence that is available.

One-fourth of the perimeter = 50

The other width also equals 50.

So the length of fencing = 200 - 50 - 50 = 100

So the area = 50 x 100 = 5000 square feet.

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Both angles have a measure of 125°.

Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.

Then:

-1 + 14x = 12x + 17

Now we need to solve this for x:

14x - 12x = 17 + 1

2x = 18

x =18/2 = 9

Now that we know the value of x we can replace it in any of the expressions for the angles:

-1 + 14*9 = 125°

Both angles have a measure of 125°.

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Answer:  

Step-by-step explanation:

you take 30% and 10% and turn them into decimal like so:

30/100=0.3

10/100=0.1

400.00(0.3)=120.00

120(0.1)=12

[tex]\left(\sqrt{z^{2}+8} \right)^{2}=(1-2z)^{2}\\\\z^{2}+8=4z^{2}-4z+1\\\\0=3z^{2}-4z-7\\\\0=(z+1)(3z-7)\\\\z=-1, z=\frac{7}{3}[/tex]

We know that if z=7/3, the right-hand side will be negative, which means it is an extraneous solution as square roots cannot be negative.

95% confidence interval is 1.96

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.

From Standard Normal table,  P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.

Hence 95% percent confidence interval is 1.96

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Answer:

4a

Step-by-step explanation:

-8 / -2 = 4

a^8/a^7 = a^(8 - 7) = a

Answer: 4a

Answer:

Step-by-step explanation:

Big clever stuff 100 men in 1 second tick tick boom

The price of one pill is approximately $0.04.

Division is the mathematical operation used in grouping a number into equal parts using another number. The price of one pill can be determined by dividing the total cost of a number of pills by that number.

Price of one pill = cost of 50 pills / 50

$2.05 / 50 = $0.04

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Answer:

32

Step-by-step explanation:

YZ = ⅗XY.

XY = 20

20 / 5 x 3 = 12

YZ = 12

XZ = YZ + XY

XZ = 20 + 12

XZ = 32

Work is attached. Hope it helps!

The area of triangle BMN is 124.7 square centimeter.

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

[tex](BH)^{2}[/tex] = [tex](AB)^{2}[/tex] - [tex](AH)^{2}[/tex]

[tex](BH)^{2}[/tex] = [tex]50^{2}[/tex] - [tex]25^{2}[/tex]

[tex](BH)^{2}[/tex] = 2500 - 625

[tex](BH)^{2}[/tex] = 1875

BH = [tex]\sqrt{1875}[/tex] = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

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Answer:

BC || AD and AB || CD (given)

∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines

∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines

AC ≅ AC (identity)

△ABC ≅ △CDA (ASA)

AB = CD (CPCT C)

Answer:

The product is the difference of squares is [tex]$$\left(5-3x\right)\left(5+3x\right)=25-9{{x}^2}$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{aligned}&(5-3 x)(5+3 x)=(5)^{2}-(3 x)^{2} \\&(5-3 x)(5+3 x)=25-9 x^{2}\end{aligned}$$[/tex]

Answer:

Area = 84.8 cm²

Step-by-step explanation:

It appears that the line BO is equal to the radius. It also looks like the missing region is equal to 1/4 of the entire area. Therefore, to find the area of the shaded region, you need to (1) find the area of the entire circle and then (2) find the area of 3/4 of the circle.

Area of Circle:

r = 6 cm

A = πr²

A = π(6 cm)²

A = π(36 cm²)

A = 113 cm²

Area of Shaded Region:

Area (Entire Circle) x 3/4 = Area (Shaded Region)

113 cm² x 3/4 = 84.8 cm²

The general form of the given equation is 3x-y=0.

The given equation is [tex]x=\frac{1}{3}y[/tex].

We need to write the given equation in a general form.

The general form of any equation contains the degree of variables in decreasing order. The general form of a linear equation is ax + b = 0.

That is, [tex]3x=y[/tex]

[tex]3x-y=0[/tex].

Hence, the general form of the given equation is 3x-y=0.

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The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.

A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.

Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.

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