h(a) = a^2 + 4 when a = -3​

In the given case, Matthew would have a negative z score and John would have a positive z score.

A z-score is a measurement of how far an observation or data point is from the distribution's mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative. Therefore, it is possible that John's z-score would be positive, showing that he is taller than the average for his age group if he is one of the tallest children in his class at the age of 7.

In contrast, if 12-year-old Matthew is among the smallest students in his class, it is likely that his z-score will be negative, suggesting that he is shorter than the norm for his age group. Therefore, John would have a positive z-score but Matthew would have a negative one if he is shorter than average for his age group.

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Answer:

X = 11

Step-by-step explanation:

since the angles are supplementary that means their sum is 180

[tex]5x + 15 + 10x = 180 \\ 15x + 15 = 180 \\ 15x = 180 - 15 \\ 15x = 165 \\ x = 165 \div 15 \\ x = 11[/tex]

Answer:

[tex]T = 3 + {S}^{2} [/tex]

Step-by-step explanation:

Fill in the table and you will see the formula above gives you the total. Substitute S=10 for you answer

How derive the formula?

You have to realize that you are give 3 to start with, so that's your starting constant. Filling in the table and subtracting 3 show help you see that the square of want is left after the subtraction is the square of the step.

Let me know is you need more clarification

Answer:

X = -7 and y = -7.5

Step-by-step explanation:

Use substitution. Let’s try to get x by itself in the second question since it seems easier.

-4x + 4y = -2

-4x = -2 -4y

x = 1/2 + y

Subsitute that into the other equation for y.

4x -2y = -13

4(1/2 + y) - 2y = -13

2 + 4y -2y = -13 # Use the distributive property

2y = -15 # put together like terms

y = -7.5

Then plug it into the x formula

x = .5 -7.5

x = -7

Answer:

The solution is (-7, -7 1/2)

Step-by-step explanation:

 4x – 2y = –13  

–4x + 4y = –2

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

          2y = -15, and so y = -7 1/2.

Now find x.  If y = -7 1/2, then, from the first equation, we get

4x - 2(-7 1/2) = -13, or

4x + 15 = -13, or

4x = -28, or x = -7

The solution is (-7, -7 1/2).

9514 1404 393

Answer:

  5x^2 -55x +150 = 0

Step-by-step explanation:

A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...

  5(x -5)(x -6) = 0

  5(x^2 -11x +30) = 0 . . . . . multiplying binomials

  5x^2 -55x +150 = 0 . . . . applying the leading coefficient

The simplification of all the given algebra fractions are;

1) a/c

2) (a - b)/(a - 1)

3) (x + 1)/(x - 4)

An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.

1) (abc + ab²)/(b²c + bc²)

Factorizing numerator and denominator gives;

ab(c + b)/bc(b + c)

b(b + c) will cancel out to get; a/c

2) (a² - b²)/(a² - a + ab - b)

Factorizing numerator and denominator gives;

[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]

= [(a + b)(a - b)]/(a + b)(a - 1)

(a + b) will cancel out to get;

(a - b)/(a - 1)

3) (x² - 2x - 3)/(x² - 7x + 12)

Expanding the numerator and denominator gives;

(x² - 3x + x - 3)/(x² - 4x - 3x + 12)

= ((x + 1)(x - 3))/((x - 3)(x - 4)

(x - 3) will cancel out to get;

(x + 1)/(x - 4)

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Answer:

The radius of a similar circle with center (-2, 0) has a length of 10 units.

Step-by-step explanation:

The radius of the new circle ([tex]R[/tex]) is the product of the former radius ([tex]r[/tex]) and the scale factor ([tex]k[/tex]), that is to say:

[tex]R = k\cdot r[/tex] (1)

If we know that [tex]k = \frac{5}{2}[/tex] and [tex]r = 4[/tex], then the radius of the new circle is:

[tex]R = k\cdot r[/tex]

[tex]R = \left(\frac{5}{2} \right)\cdot (4)[/tex]

[tex]R = 10[/tex]

The radius of a similar circle with center (-2, 0) has a length of 10 units.

Answer: 27

Step-by-step explanation:

Given

In the first sequence, the first term is [tex]a_1=15[/tex]

Common difference is [tex]d_1=4[/tex]

In the second sequence, the first term is [tex]b_1=18[/tex]

Common difference is [tex]d_2=3[/tex]

The nth term of the sequence is [tex]a_n=a+(n-1)d[/tex]

for the same number to appear on both sequence, the nth term must be equal

[tex]\Rightarrow 15+(n-1)4=18+(n-1)3\\\Rightarrow 3=(n-1)\\\Rightarrow n=4[/tex]

Put n=4

[tex]\Rightarrow 15+(4-1)4\\\Rightarrow 15+12=27[/tex]

Therefore, 27 is the first common term in both sequences.

First look at one of the point covered by the black shape, example of which being (2,2).

Next look at where the corrosponding point on the dilated figure is, so keeping with the sample, (10,10).

With this, knowing that both of the shapes are centered around the origin and that they are dilations of each other, do 10/2. to give you 5.

This would be the dilation needed to get the black shape to become the black shape.

Hope that helps.

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed.

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed. Parallel computing is a sort of computation in which several computations or processes are performed at the same time. Large issues are frequently broken into smaller ones, which may then be tackled concurrently.

Here,

Parallelization can only speed up a program so much. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be ten times regardless of the number of processors employed.

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According to question,

= 8x² + 6x - 2 = 228

= 8x² + 6x - 230 = 0

= 2(4x² + 3x - 115) = 0

= 2(4x² + 23x - 20x - 115) =0

= 2(x(4x +23) -5(x - 23) )= 0

= 2((x-5)(4x+23)) = 0

x = 5 , x = -23/4

let x = 5

so length 4x - 1

= 4 × 5 - 1

= 19 ft

width = 2x + 2

= 2 × 5 + 2

= 22 ft

_______

gosh! finally did it.. was too big -_-

Answer:

Step-by-step explanation:

Let's make Mark x as he is in both equations.

For Gregory in Marks view = x+20

For Marks's sister Louanne = x-6

Now you just add everything!

> x+x+20+x-6

> 3x+14

The sum of their ages is 3x+14

Hope that helped!

The polynomial's zero is 2 since the value of k = -2 is  [tex]3x^{2}[/tex]  +4x+2k . A polynomial is an equation that combines variables, constants .

Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).

given

−2 is a zero of f(x)=[tex]3x^{2}[/tex]+4x+2k

f(−2)=0

∴[tex]3(-2)^{2}[/tex] +4(−2)+2k=0

=>12−8+2k=0

=>2k=−4

=>k=−2

The polynomial's zero is 2 since the value of k = -2 is  [tex]3x^{2}[/tex]  +4x+2k .

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Answer:

[tex]x {}^{2} - 4x - 12 = 0 \\ (x - 6)(x + 2) = 0 \\ x = 6 \: \: x = - 2[/tex]

Answer:

Step-by-step explanation:

Is 8ft

Answer:

It is 8ft

Step-by-step explanation:

easy work

Answer:

P = 14.9

Step-by-step explanation:

i used distance formula:  

d = √(difference of y-values, squared, + difference of x-values, squared)

distance from (-2,1) and (2,4):  [tex]\sqrt{25}[/tex] = 5

distance from (-2,1) and (-1,-2):  [tex]\sqrt{10}[/tex]

distance from (-1,-2) and (2,4):  [tex]\sqrt{45}[/tex] = 3[tex]\sqrt{5}[/tex]

P = 5 + [tex]\sqrt{10}[/tex] + 3[tex]\sqrt{5}[/tex]  ≈  14.9

Answer:

[tex]\bold{\boxed{Check explaination for better understanding!}}[/tex]

z=65,y=65,x=50

Step-by-step explanation:

Firstly,  let's identify the only angle provided. The angle is an exterior angle.

The exterior angle theorm states that greater than either of the measures of the remote interior angles.

Let's remember that and start solving!

The exterior angle and x form a supplimentary line which means they create 180 degrees.

130+x=180

x=50

Now by the theorm the sum of z+y should be equal to the exterior angle which is 130.

Simply, z+y=130.

So z  is equal to 65, and y is equal to 65.

Let's check our answers now.

z=65,y=65,x=50

z+x+y=180

65+50+65=180! That works :)

Hope it helps! :))

Answer:

elected Council

Step-by-step explanation:

Answer: 7.88 currency units

Step-by-step explanation:

Shipping and handling are 35% of the price of the flannel sheet so in currency terms are:

= Price of flannel sheet * Additional percentage for shipping and handling

= 22.50 * 35%

= 7.875

= 7.88 currency units

Answer:

787.5

Step-by-step explanation:

22.50×35

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: 4x - 6 = x + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4x - x = 9 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 15 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

Answer:

Step-by-step explanation:

4x-6=x+9

4x-x=9+6

3x=15

Final answer: x = 5

Answer:

24%

Step-by-step explanation:

assign a variable x:

Find the average and solve for x by isolating the variable:

(x+60%)÷2=42%

multiply on both sides, left side cancels, multiply right side

(x+60%)÷2 *2= 42%*2

x+60% = 84%

subtract on both sides, left side cancels, subtract right side

x+60% - 60%=84% - 60%

x=24%

Answer:

Step-by-step explanation:

18. m∠1 = 104°

19. m∠2 = 79°

20. m∠3 = 65°

21. m∠5 = 73°

Answer:

It would be 8

Step-by-step explanation:

The probability of h that can be found using the discrete model but not the normal model is 0.03.

A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.

The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.

H represents the height of women

Determine P ( H < 60 ) using either a discrete or normal model

using discrete model

P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches

P ( H < 60 ) = 0.01 + 0.02 = 0.03

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Answer:

B it will have to be 7 to make this true

Step-by-step explanation:

Avogadro's number is a unitless object. It represents a number.

What is unit?

The mass of a particular piece of metal or the length of a particular rod are examples of quantities (specific properties) of objects that have historically been used to define measurement units. An object that has no units is known as unitless.

The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of  6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.

The value of Avogadro's number is 6.02214076 × 10²³.

One mole of the chemical compound consists of 6.02214076 × 10²³ atoms.

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The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

What is the null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Here,

We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.

We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

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Answer:

photo is blurr bro

Step-by-step explanation:

i can't help with this photo

Answer:

Obtuse and isosceles

Step-by-step explanation:

obtuse because an angle is more than 90* and isosceles because two sides are equal.

Hope this helps!