The length of a rectangle is 8 inches less than 3 times the width. The perimeter is 88 inches. Find the length and the width.The length is ? inches and the width is ? inches.

Answer:

4; Shari ran past her home after 4 minutes.

Step-by-step explanation:

The x-intercept means that at 4 minutes the distance from home in blocks on her run across town over time is zero.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

6x - 3y = 24

x-intercept means y = 0.

So,

6x - 3 x 0 = 24

6x - 0 = 24

6x = 24

x = 4

Now,

The x-intercept means at 4 minutes the distance from home is o.

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Answer:

53

Step-by-step explanation:

one angle is 37

the triangle means one is 90

a trianlge always = 180 total so

(37+90)-180

=53

Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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The exponent in Sam’s product is -5.

What does a math exponent mean?

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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In Tableau, a filter allows a visualization developer or user to dynamically remove rows from the visualization.  Thus, Option A is the answer.

What is Tableau?

Tableau is an interactive and intuitive data visualization tool that enables people to see and understand data. It provides a variety of data exploration, modelling, and visualization options. Tableau is one of the best data visualization software available in the market. It provides an easy way to integrate data from various sources. With Tableau, you can easily create interactive and visually appealing charts, graphs, and other types of visualizations that are easy to understand and interpret.

What is a filter?

In Tableau, a filter is a tool that allows you to selectively display data from a larger dataset based on certain conditions. Filters help you to narrow down your data to the most relevant information so you can make better decisions based on your analysis. Filters can be applied to different dimensions and measures to help you get a better view of your data. Tableau allows you to filter your data using various types of filters such as categorical, continuous, and relative filters. You can also create custom filters using calculated fields and parameters.

A filter allows a visualization developer or user to dynamically remove rows from the visualization. Therefore, the correct option is (a) Filter.

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Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

m = - 3 , b = 5

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = \(\frac{-1-5}{2-0}\) = \(\frac{-6}{2}\) = - 3

the y- intercept b is the value of y on the y- axis where the line crosses

that is b = 5

Answer:

b = 5

m = -3

Step-by-step explanation:

y-intercept is where the line intersects the y-axis. So, the line intersects at (0,5).

So, y-intercept = b = 5

       Choose two points on the line: (0,5) and (1,2)

 x₁ = 0    ; y₁ = 5

  x₂ = 1    ; y₂ = 2

Substitute the points in the below formula to find the slope.

                \(\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)

                            \(= \dfrac{2-5}{1-0}\\\\=\dfrac{-3}{1}\)

                        \(\boxed{\bf m = -3}\)

Answer:

Step-by-step explanation:

Simplifying

6x + -14 = 98

Reorder the terms:

-14 + 6x = 98

Solving

-14 + 6x = 98

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 6x = 98 + 14

Combine like terms: -14 + 14 = 0

0 + 6x = 98 + 14

6x = 98 + 14

Combine like terms: 98 + 14 = 112

6x = 112

Divide each side by '6'.

x = 18.66666667

Simplifying

x = 18.66666667

Answer:

is the question this 98=6x+13

then the answer is x=14

After considering the given data we come to the conclusion that 1 / tan²Ꮎ write in terms of sin Ꮎ is written as cot²(θ).

We can apply the identity tan²(θ) = sec²(θ) - 1 to write 1/tan²(θ) concerning sin(θ).
Firstly , we have to write tan²(θ) as sec²(θ) - 1. Then, we apply substitution towards this trigonometric expression 1/tan²(θ) to get:
1/tan²(θ) = 1/(sec²(θ) - 1)
Next, we can apply the identity sec²(θ) = 1/cos²(θ) to elaborate the expression concerning cosine:
1/tan²(θ) = 1/(1/cos²(θ) - 1)
= cos²(θ)/(1 - cos²(θ))
Finally, we can apply the identity
sin²(θ) + cos²(θ) = 1
to form the expression concerning sine:
cos²(θ)/(1 - cos²(θ)) = cos²(θ)/sin²(θ)
= (cos(θ)/sin(θ))²
= cot²(θ)
Hence, 1/tan²(θ) in terms of sin(θ) is equal or can be written as  cot²(θ).
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We conclude that there is convincing evidence to reject the null hypothesis. Therefore, the data provide convincing evidence that the distribution has changed.

Based on the given information, a chi-square goodness-of-fit test was conducted to determine whether there is convincing evidence that the distribution has changed. The test statistic is 10.13 and the p-value is 0.0175.

To interpret these results, we need to compare the p-value to a predetermined significance level (α), which is usually set at 0.05.

Step 1: Compare the p-value to the significance level
- If the p-value ≤ α, then there is convincing evidence to reject the null hypothesis (i.e., the distribution has changed).
- If the p-value > α, then there is not enough evidence to reject the null hypothesis (i.e., no convincing evidence that the distribution has changed).

In this case, the p-value (0.0175) is less than the typical significance level (0.05)

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The probability that any given person is a universal donor is 7.2%. This means that the probability that a person is not a universal donor is 92.8%.This indicates that there is a 0.65 percent chance that at least 1 out of every 10 randomly selected individuals is a universal donor.

Now, if we choose 10 people at random, we can use the binomial distribution to calculate the probability that at least 1 of them is a universal donor. The binomial distribution tells us that the probability of getting exactly k successes in n trials is:

P(k; n, p) = (n choose k) p^k (1-p)^(n-k)

where n is the number of trials, p is the probability of success on a single trial, and k is the number of successes.

plugging in our values, we get:

P(1; 10, 0.072) = (10 choose 1) (0.072)^1 (1-0.072)^9

P(1; 10, 0.072) = 10(0.072) (0.928)^9

P(1; 10, 0.072) = 0.65

This means that the probability that at least 1 out of 10 people chosen at random is a universal donor is 0.65.

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Answer:

B

Step-by-step explanation:

The 20% discount is only $6.40.

32 X .2 = 6.40

Answer:

d. y=8x

Step-by-step explanation:

since y = the number of legs and spiders = x

each spider has 8 legs

so y = 8*x

which is y=8x

The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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Answer:

english plz

Step-by-step explanation:

Hence, the coordinates of the image are X(-2, 3), Y(-1, 3), and Z(-1, 1).

Given that vertices of a triangle are X(-6, -9), Y(-3, -9), and Z(-3, -3).Dilate the triangle with respect to the origin using a scale factor of 1/3To dilate a triangle with respect to the origin using a scale factor of 1/3:1. Plot the given triangle ABC.2.

Draw a line segment from each vertex of the triangle to the origin.3. Measure the length of each line segment and multiply it by the scale factor.4.

Draw a new triangle A'B'C' such that the length of each side is the product of the length of the corresponding side of the original triangle and the scale factor.

Reflect the triangle in the x-axisTo reflect the triangle in the x-axis:1. Draw the x-axis and label it.2. Plot the original triangle.3.

Draw a line perpendicular to the x-axis from each vertex of the triangle.4. Measure the length of each line segment from the vertex to the x-axis and then draw a line segment of the same length on the other side of the x-axis.5. Connect the endpoints of the new line segments to form the reflected triangle.

Now, the coordinates of the vertices of the new image after dilation with respect to the origin using a scale factor of 1/3 and then reflecting the triangle in the x-axis are:

X = (-2, 3)Y = (-1, 3)Z = (-1, 1).

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Step-by-step explanation:

The equation of the line perpendicular to the line y = -3x + 6 and passing through the point (-2,8) is y = (1/3)x + (10/3).

The surface area of the triangular prism be 108 ft²

The volume of the triangular prism be 48 ft³.

Given, a triangular prism (base is a right triangle).

Triangle legs are 3 ft and 4 ft, hypotenuse is 5 ft, height of prism is 8 ft.

Now, the surface area of the triangular prism is,

Surface Area = 2×Area of the base triangle + Side rectangle 1 +Side rectangle 2 + Side rectangle 3

Surface Area = 2×(1/2×3×4) + 5×8 + 3×8 + 4×8

Surface Area = 12 + 40 + 24 + 32

Surface Area = 108 ft²

Now, Volume of the triangular prism be,

Volume = Area of the base triangle × height

Volume = 1/2×3×4×8

Volume = 48 ft³

Hence, the surface area of the triangular prism be 108 ft²

and the volume of the triangular prism be 48 ft³.

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To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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Answer: 1176

Each line above the numbers multiply it by 1000. So this number is being multiplied by 1000000.

Each "C" is equal to 100, since there are "CCC" the number is 300.

"XL" is equal to 40, because "X" is equal to 10 and "L" is equal to 50, but since he X is on the left of the L we subtract them.

The number CCCXL is then 340, but there are the two lines. So we have:

The value of x in the similar figures is 2.33

When two figures have the same shape but their sizes are different, then such figures are called similar figures

The two polygons are similar

We have to find the value of x

Let us form a proportional equation

4590/21=510/x

4590x=21×510

4590x=10710

Divide both sides by 4540

x=10710/4590

x=2.33

Hence, the value of x in the similar figures is 2.33

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Answer:

D

Step-by-step explanation:

Given the input - 1 \(\frac{1}{2}\) = - \(\frac{3}{2}\) , then

(- \(\frac{3}{2}\) )² = \(\frac{9}{4}\) , then subtract 2

\(\frac{9}{4}\) - 2 = \(\frac{9}{4}\) - \(\frac{8}{4}\) = \(\frac{1}{4}\)

Then reciprocal which is 1 over the previous value

reciprocal = \(\frac{1}{\frac{1}{4} }\) = 4 ← output → D

The answer is x = 2.5

becuase the

Answer:

Jaquan's plant grew 2 inches

Step-by-step explanation:

1/3 of 6 is 2.

Hope this helps! :)

 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

Answer:

\(H=\frac{4s}{n}-b\)

Step-by-step explanation:

\(s=\frac{n}{4}(b+H)\)

\(4s=n(b+H)\)

\(\frac{4s}{n}=b+H\)

\(\frac{4s}{n}-b=H\)

\(H=\frac{4s}{n}-b\)

From the trigonometric function sec θ = 13/12, two more functions are derived -

Option C: cos θ = 12/13

Option D: tan θ = 5/12

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

The given trigonometric function is -

sec θ = 13/12

Sec function is written as the ratio of hypotenuse to adjacent.

sec θ = 1/cos θ

Cos function is written as the ratio of adjacent to hypotenuse.

cos θ = 12/13

To find the opposite, apply the Pythagoras theorem -

(Opposite)² = (Hypotenuse)² - (Adjacent)²

(Opposite)² = (13)² - (12)²

(Opposite)² = 169 - 144

Opposite = √25

Opposite = 5

Tan function is written as the ratio of opposite to adjacent.

tan θ = 5/12

Therefore, from sec function, cos and tan function are obtained.

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