Use the expression 8a+16c
What is the value of the expression when a = –5 and c = –1?

Answer: x = 2

Step-by-step explanation:

First, let's take the root of 256 to find the length of each side before the addition of x.

[tex]\sqrt{256} = 16[/tex]

This means 16 cm is the length of each side before the addition of x.

Then increase each side by X to get

[tex](16 + x)(16 + x) = 324[/tex]

[tex]256 + 16x + 16x + x^2=324[/tex]

[tex]x^2+32x -68=0[/tex]

[tex]x=2[/tex]  or   [tex]x=-34[/tex]

The value cannot be negative so x has to be 2

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

[tex]26in*25.4mm=660.4mm[/tex]

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

The division problem that's illustrated based on the information is 3000/75 = 40 without remainder.

A rectangle is defined as a two-dimensional shape having four-sided and opposite sides equal and parallel.

From the information, it was stated that the rectangle with left side labelled 75 and the middle part has 4 above it and 300 inside it.

Therefore, the division problem that's illustrated based on the information is 3000/75 = 40 without remainder.

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Answer:

-12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The table does not represent a function because their are two x values with the same y value.

Answer:

C. No, one x --- two different y's

Step-by-step explanation:

In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!

(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)

Observe the diagram below with indexes on the shapes.

The transformations are:

Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

Answer:

b) Substitute (3x - 5) for y in the second equation.

Step-by-step explanation:

If using the substitution method, then the second choice is the most efficient first step.

What is the substitution method?

The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.

Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:

⇒ 2x + 6y = 20

⇒ 2x + 6(3x - 5) = 20

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Answer:  [tex]\textsf{Option C, 3}\sqrt{2}[/tex]

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Given:  [tex]\sqrt{18}[/tex]

Find: [tex]\textsf{Simplify the expression}[/tex]

Solution: In order to get a number outside of the square root there must be two of them inside of the square root.  The first step that we need to take is to break down the number 18 into it's lowest factors and then take out the numbers can be taken out.

Break down the number 18

Take 3 outside of the square root

Therefore, the option that would best match the results that were solved for is option C, [tex]\textsf{3}\sqrt{\textsf{2}[/tex]

The value of x will be 4 ,  Option A is the answer.

A triangle that has one angle as 90 degree is called a Right angled Triangle.

In a right angled triangle

the length of the sides can be determined using Pythagoras Theorem

The length of the side is given in the image attached as

x-2 , x , √20

Hypotenuse ² = Perpendicular² + Base²

(√20)² = x² + (x-2)²

20 = x² + x² +4 -4x

2x²-4x -16 = 0

x² -2x -8 = 0

x² - 4x +2x -8 = 0

x (x-4) +2(x-4) = 0

(x+2)(x-4) = 0

x = -2 , 4

The value of x will be 4 .

Therefore Option A is the answer.

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Answer:

Step-by-step explanation:

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

We have the euation of a line in point slope form:

Convert to the slope intercept form:

y - 4 = 2(x - 6)

y - 4 = 2x - 12

y - 4 + 4 = 2x - 12 + 4

y = 2x - 8

The slope is m₁ = 2.

Let y = m₂x + b.

The lines is perpendicular. Therefore:

2m₂ = -1     |divide both sides by 2

The line passes through the point (-3, -5).

Substitute to the point slope equation:

y - (-5) = -1/2(x - (-3))

y + 5 = -1/2(x + 3)

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

Herein we have a quadratic equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

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formula is lsquare so answer is 25ft

Answer:

Step-by-step explanation:

Givens

Parallelogram EASY with diagonal ES

<AES = 40

<Y = 110

Solution

<AES = 40               GIVEN

<ESY = 40                     Z THEOREM OF A PRALLELOGRAM

<A = <Y                         PROPERTY OF A PARALLELOGRAM

<A = <110                      <A = 110 BECAUSE <Y = 110

<YES = 180 - <Y           -<ESY EVERY TRIANGLE HAS 180o

<YES = 180 - 110 - 40    SIMPLIFY

<YES = 30

<YEA = <YES + <AES    WE KNOW BOTH ANGLES ON THE RIGHT.

<YEA = 30 + 40             COMBINE

<YEA = 70

You could do <YEA by noting that consecutive angles of a Parallelogram equal 180

[tex]( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.[/tex]

Step-by-step explanation:

GIVEN

HERE

= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

I think you understand

Answer:

When the initial velocity is 6m/s and acceleration is 3m/s², the final velocity after a distance of 29m is √210m/s.

Step-by-step explanation:

Concept: In the problem it is given that u = 6m/s, a = 3m/s² and s = 29m. We need to find the v. In such kinematical problems, we have an equation v² = u² + 2as. From this relation we can find v.

v² = 6² + 2×3×29

v² = 36 + 174

v² = 210

v = √210 m/s

So, the final velocity is the under-root of 210 or √210 m/s.

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Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

In a case whereby the number of DVDs in a random person's home collection is counted for a sample population of 80 people the mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies then the margin of error is 3.46 moves.

The concept that will be used here is the formular to find the error

E=z∝/2 σ/√ n

n= number of the samples= 80

σ = standard deviation = 12 moves

confidence level = (1-∝) = (1- 0.99) = 0.001

σ/2 = 0.005

Then the looking up for Z value of Z(0.005) = 2.58

E= 2.58 *12/√80

= 3.46 moves.

Therefore, option D is correct.

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It took 3 days to complete a work by 10 people.

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

                                                                                      = 3 days.

Thus, it took 3 days to complete a work by 10 people.

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Answer:

no lo sd

Step-by-step explanation:

solo se que is really

In what? desmos, drawing?

Answer:

54%

Step-by-step explanation:

To find the probability for a male patient to have B blood, find the number of male patients who do have B blood and divide it by the number of patients with type B.

The number of male and B blood is 99.

The number of patients with B blood is 183.

The probability is 99/183 = 0.54.

The percent is found by multiplying by 100.

0.54*100 = 54%

[tex]7a³ (8a² + a)²-4a³ \\ \\ 7 {a}^{3}(8 { {a}^{2} + a)(8 {a}^{2} + a )} - 4 {a}^{3} \\ \\ 7 {a}^{3} ( {8a}^{2} (8 {a}^{2} + a ) + a(8 {a}^{2} + a ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 8{a}^{3} + 8 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 16 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 448 {a}^{7} + 112 {a}^{6} + 7 {a}^{5} - 4 {a}^{3} \\ \\ {a}^{3} (448 {a}^{4} + 112 {a}^{3} + 7 {a}^{2} - 4).[/tex]

Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

Answer:

D.  4

Step-by-step explanation:

Given expression:

[tex]-2x^2-4x+10[/tex]

To find the value of the expression when x = -3, substitute x = -3 into the expression:

[tex]\implies -2(-3)^2-(-3)x+10[/tex]

Apply exponent rule  [tex](-a)^2=a^2[/tex]:

[tex]\implies -2(3^2)-4(-3)+10[/tex]

[tex]\implies -2(9)-4(-3)+10[/tex]

[tex]\implies -18-4(-3)+10[/tex]

Apply rule [tex]-(-a)=a[/tex] :

[tex]\implies -18+(4)(3)+10[/tex]

[tex]\implies -18+12+10[/tex]

Add/subtract from left to right:

[tex]\implies -6+10[/tex]

[tex]\implies 4[/tex]

Let's find

Answer:

[tex]x = 5y {}^{2} + 10[/tex]

The inverse of the function is x = 5y² + 10.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the inverse of a function, we need to solve for x in terms of y.

To do this, we can start by replacing y with x and solving for x.

y = 5x² + 10

x = 5y² + 10

Now we have solved for x in terms of y, which gives us the inverse of the original function.

So the equation that can be simplified to find the inverse of y = 5x² + 10 is:

x = 5y² + 10

Thus,

The inverse of the function is x = 5y² + 10.

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Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

[tex]\tan{\theta} = \frac{2}{3}[/tex]

[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]

[tex]\theta = 33.69^\circ[/tex]

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Answer

Step by step explanation

Answer:

C

Step-by-step explanation:

Use the equation [tex]a^2 + b^2 = c^2[/tex]

Input the numbers----> [tex](2865)^2 +(4550)^2=c^2[/tex]

Simplify ----> [tex]28910725=c^2[/tex]

Find the square root------->[tex]5376.9=c[/tex]