Using the pattern rule, find the missing
value in the table.
y = x + 8
input X 1
output y 9
2 3 4
10 | 11 | [?]
Enter the number that belongs in the green box.
Enter

Answer: A

Step-by-step explanation:

Verticals line test

Answer:

A

Step-by-step explanation:

on edge 2021

Answer:

Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add

C=100 3X=30 IV=4

100+30+4=134

CXXXIV=134

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Solution:

The determine the end behavior of the function below

We will use the image of the function below

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Step 1:

From looking at the graph above, we can see that

Since the leading term of the polynomial (the term in the polynomial which contains the highest power of the variable) is x3, the degree is 3, i.e. odd, and the leading coefficient is 1, i.e. positive.

The domain of the function is given below as

The end behavior of the function above is

Answer:

The perimeter of the enlarged rectangle is 36 inches.

Step-by-step explanation:

Perimeter of an enlarged figure:

To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.

In this question:

Perimeter of the original rectangle: 12 inches

Scale factor: 3

Perimeter of the enlarged rectange:

12*3 = 36 inches

Answer:

Given that,

To find the z-score that corresponds to the cumulative area 0.0401.

we have that,

The standard normal distribution is a type of normal distribution. It mostly appears when a normal random variable has a mean value equal to 0 and value of standard deviation is equal to 1. The random variable of a standard normal distribution is considered as a standard score or z-score.

The total area under the curve should be equal to 1. The normally distributed curve should be symmetric at the centre. There should be exactly half of the values are to the right of the centre and exactly half of the values are to the left of the centre.

Let z be the required z score, we get,

Answer is:

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer: 17.15

Step-by-step explanation:

6.2+10.95=17.15

Answer:

gghhhhfhfuubf

Step-by-step explanation:

Answer:

One possible pair:

7 x + 4   and  x + 1

Step-by-step explanation:

There are infinitely many pairs that meet this requirement.

Please mark me brainliest :D

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2  Divide both sides by 2.

  /2   /2

x>-1

2. 4x<16  Divide both sides by 4.

   /4   /4

x<4

3. x+4<3 Subtract both sides by 4.

      -4  -4

x<-1

4. 5x>-10  Divide both sides by 5.

  /5     /5

x>-2

5. 3x<-9   Divide both sides by 3.

   /3   /3

x<-3

6. x-4<3  Add 4 to both sides.

    +4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

The points that must lie on the same graph of the quadratic function is given as follows:

(1,6).

The quadratic function in the context of this problem is defined as follows:

y = (x - 3)² + k.

When x = 5, y = 6, hence the value of the constant k is obtained as follows:

6 = (5 - 3)² + k

6 = 4 + k

k = 2.

Hence the equation is:

y = (x - 3)² + 2.

The other point also has a numeric value of y = 6, hence:

(x - 3)² + 2 = 6

(x - 3)² = 4.

Hence the two options are:

Hence the point is (1,6).

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Answer:

16

Step-by-step explanation:

f(x) = 2x² when x>4

We cannot use this expression of f to calculate f(4)

because ,this expression define f for the value of x

that are greater (not equal) than 4.

………………………………………………………

f(x) = 4x when x ≤ 4 , here x is can be equal to 4

(notice the sign ≤ )

Therefore

f(4) = 4 × (4) = 16

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

C. x - y = 0

Step-by-step explanation:

First find write the equation in slope-intercept form, then rewrite to convert to standard form as Ax + By = C.

Equation in Slope-intercept form:

Find m and b

m = rise/run = 1/1 = 1

b = y-intercept = 0 (where the line intercepts the y-axis)

Substitute m = 1, and b = 0 into y = mx + b

Thus:

y = (1)(x) + 0

y = x

Rewrite to convert to standard form.

Thus, the equation in standard form would be:

x - y = 0

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

Ingredient | 4 servings | 2 servings | 8 servings

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

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2  

Step-by-step explanation:

4 servings:

1 c flour

3/4 c sugar

1 T butter

1/4 t salt

2 serving = 4 servings / 2 =

1 c flour/2 = 1/2 c flour

3/4 c sugar/2 = 3/8 c sugar

1 T butter/2 = 1/2 T butter

1/4 t salt/2 = 1/8 t salt

8 servings = 4 servings * 2 =

1 c flour * 2 = 2 c flour

3/4 c sugar * 2 = (3*2)/4 = 3/2 c sugar

1 T butter * 2 = 2 T butter

1/4 t salt * 2 = 2/4 = 1/2 t salt

Table:

Ingredient | 4 servings | 2 servings | 8 servings

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

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2          

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer:

4

Step-by-step explanation:

The statement means that there are 4 "groups"(stars) of 5 "items"(points), so there are 4 groups.

There were 4 stars and 5 points on each star we gets, The groups were there 4.

We have given that,

There were 4 stars and 5 points.

Any combination of a finite number of the operations of addition, multiplication, subtraction, and division

We have to determine How many groups were there

The statement means that there are 4 groups(stars) of 5 items(points), so there are 4 groups.

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Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Based on law of sine, the value of angle C is equal to 94.5 degree.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

we have, by law of sines,

We will use the law of sines to find c as;

sin c                sin 97.5

--------------- = -------------

14.5                      13.7

(13.7)sin c= 14.5 sin 97.5

sin c =  14.5 sin 97.5 / (13.7)

sin c = - 0.1168

Angle c = 94.5

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

The sales after 5 months is 36,000 units (since f(t) is given in thousands of units).

The given function f(t) represents the sales of a gaming product in thousands of units after t months. To find the sales after 5 months, we need to substitute t = 5 in the function f(t) and evaluate the expression. f(5) = 5(5) + 11

= 25 + 11

= 36

Therefore, the sales of the gaming product after 5 months is 36 thousand units. This means that the company has sold 36 thousand units of the gaming product within the first 5 months since the launch of the product. It also indicates that the sales are increasing by 5 thousand units every month.

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-- The given question is incomplete, the complete question is

"Let f(t) be the sale of a gaming product in thousand of units after t months f(t)=5t+11. Find the sales after 5 months."

Answer:

Between 100 and 125

Step-by-step explanation:

Given

\(Min =60\)

\(Q_1 = 100\)

\(Median = 110\)

\(Q_3 = 125\)

\(Max =150\)

Required:

Between which values will the box of the box plot will stretch

All box plots stretches between the lower quartile and the upper quartile.

From the question, we have:

\(Q_1 = 100\) ---- lower quartile

\(Q_3 = 125\) ---- upper quartile

Hence, the box will stretch between 100 and 125