Identify the volume of a rectangular pyramid with length 7 m, width 15 m, and height 16 m.

Answer:

x = $5.49 cost of the bananas

Step-by-step explanation:

x = cost of the bananas

$3.89 = cost of the peanut butter

$ 9.38 is the cost of both

Bananas + peanut butter = $9.38

    x         +   $3.89           =   $9.38

                - $ 3.89            =  -$3.89          Subtract $3.89 from both sides

      x                                 =  $5.49  

We have drawn the graph for the given inequality.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows their relative size. It is represented by the symbols >, <, ≥, or ≤, which respectively mean "greater than", "less than", "greater than or equal to", and "less than or equal to". Inequalities can also include variables and can be used to describe a range of possible values for that variable.

For the given inequality y ≤ 3/5x-5

we can draw the graph as shown below:

Hence, we have drawn the graph for the given inequality.

To learn more about the inequalities, visit:

https://brainly.com/question/25275758

#SPJ1

Answer:

140 cm^2

Step-by-step explanation:

(5 apothems cut the pentagon into 5 rectangles 8 x 3.5)

3.5 x 8 x 5 = 140 cm^2

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

To learn more about proportionality

https://brainly.com/question/22173833

#SPJ11

Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.

Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.

Here,

given :

Points  = C(8,6) and D(8,2).

Thus ,

For midpoint:

=> x = (x1 + x2) /2

=>  x = (8 + 8 )/2

=> x =16/2

=> x = 8

For y :

=> y = (y1 + y2) /2

=> y = (6 +2) /2

=> y = 8/2

=> y =4

Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.

To know more about coordinates visit:

https://brainly.com/question/27749090

#SPJ1

Answer: D

Explanation: The bird travels 10 miles to it's nest in minutes

\(y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)\)

It's important to follow the order of operations to ensure accurate calculations. the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.

To perform the calculation using the correct order of operations, we need to follow the rules of precedence, also known as the PEMDAS rule. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's break down the given expression step by step:

5.25 + 41.8 + 34.1

According to the PEMDAS rule, we need to start with any calculations inside parentheses, but there are no parentheses in this expression. Next, we move to addition and subtraction from left to right.

5.25 + 41.8 equals 47.05.

Now we add 34.1 to the result:

47.05 + 34.1 equals 81.15.

Therefore, the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.It's important to follow the order of operations to ensure accurate calculations.

To learn more about calculation click here:

brainly.com/question/11845646

#SPJ11

To find the maximum likelihood estimator (MLE) for λ, we need to maximize the likelihood function L(λ) with respect to λ of the Poisson distribution

First, let's write the probability density function (PDF) of the Poisson distribution:
P(X = k) = (e^(-λ) * λ^k) / k!

The likelihood function can be defined as the product of the probabilities for each observation in the random sample. Since the sample is independent and identically distributed, we can write the likelihood function as:
L(λ) = P(x1, x2, ..., xn | λ) = P(x1 | λ) * P(x2 | λ) * ... * P(xn | λ)

Taking the logarithm of the likelihood function (log-likelihood) will simplify the calculations. The log-likelihood function is:
log(L(λ)) = log(P(x1 | λ)) + log(P(x2 | λ)) + ... + log(P(xn | λ))

Now, let's calculate the derivative of the log-likelihood function with respect to λ:
d/dλ log(L(λ)) = d/dλ (log(P(x1 | λ)) + log(P(x2 | λ)) + ... + log(P(xn | λ)))
= d/dλ (log(P(x1 | λ))) + d/dλ (log(P(x2 | λ))) + ... + d/dλ (log(P(xn | λ)))

To find the MLE, we set the derivative equal to zero and solve for λ:
d/dλ log(L(λ)) = 0

The derivative of log(P(x | λ)) with respect to λ can be calculated using the logarithmic differentiation technique. After taking the derivative, we equate it to zero and solve for λ.

By solving the equation, we will obtain the MLE for λ.

Learn more about Poisson distribution: https://brainly.com/question/9123296

#SPJ11

Answer:

0.9333=9333 / 10000

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

0.9333=0.9333 / 1

Multiply to remove 4 decimal places. Here, you multiply top and bottom by 104 = 10000

0.9333 / 1   ×   10000 / 10000  =  9333 / 10000

In conclusion,

0.9333  =  9333 / 10000

Answer:

0.726 galones

Step-by-step explanation:

De la pregunta anterior, se nos dice que

1 botella = 2.75 litros de agua

Se nos pide encontrar cuántos galones puede contener.

En la pregunta, nos dicen

1 litro = 0.264 galones

2.75 litros =

Multiplicación cruzada

2.75 litros × 0.264 galones

= 0.726 galones.

Por lo tanto, 0.726 galones pueden caber en la botella

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

Answer:

None

Step-by-step explanation:

None of these, but \(\sqrt{64}=8\) so if 64 is an option than that's the correct option

\(\sqrt{61} =7.81 \\\sqrt{62}=7.87\\\sqrt{63} =7.93\\\sqrt{65} =8.06\)

The amount of Country A funding for Country B's security forces was  $10.5 billion in the year 2013.

To find the year when the funding amount is around $10.5 billion, we need to set the function equal to 10.5 and solve for x:

-1.371\(x^2\) + 5.220x + 5.517 = 10.5

First, let's subtract 10.5 from both sides of the equation:

-1.371\(x^2\) + 5.220x + 5.517 - 10.5 = 0

Simplifying the left side of the equation:

-1.371\(x^2\) + 5.220x - 4.983 = 0

This is a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula to find the values of x:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = -1.371, b = 5.220, and c = -4.983. Plugging these values into the quadratic formula, we get:

x = (-5.220 ± √(\(5.220^2\) - 4(-1.371)(-4.983))) / (2(-1.371))

Simplifying further, we have:

x ≈ 4.152 or x ≈ 0.706

The positive value of x, x ≈ 4.152, represents the number of years after January 2009. To find the year, we add 4.152 to 2009, giving us:

Year ≈ 2009 + 4.152 ≈ 2013.152

Therefore, the amount of country A funding for country B security forces was approximately $10.5 billion in the year 2013.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ11

Step-by-step explanation:

hear is your answer in attachment

The annual rate of population growth in the US was about 1.2% in 2015, then the growth factor will be 1.012. The growth factor depends upon annual growth rate.

Growth factor typically refers to a constant multiplier that is used to calculate the growth or decay of a quantity over time. It is given as:

Growth factor = (1 + annual growth rate)

Therefore, the growth factor for the US in 2015 can be calculated as follows:

Growth factor (1+0.012) = 1.012

Therefore, the growth factor for the population of the US in the year 2015 was about 1.012.

Learn more about Growth factors here:

https://brainly.com/question/30859558

#SPJ11

To estimate the time it will take to fill a queen-size mattress based on the given information, we can use a proportion equation. The estimate is that it will take longer to fill the queen-size mattress compared to the twin-size mattress. Using the proportion equation, we can find the exact answer by setting up the ratio of the volumes of the twin-size and queen-size mattresses and solving for the unknown time.

The estimate suggests that it will take longer to fill the queen-size mattress compared to the twin-size mattress since the queen-size mattress is larger

To find the exact answer, we set up a proportion equation using the ratio of the volumes of the twin-size and queen-size mattresses:

(Volume of Twin-size Mattress) / (Time to fill Twin-size Mattress) = (Volume of Queen-size Mattress) / (Time to fill Queen-size Mattress).

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

By substituting the given dimensions of the mattresses, we can set up the proportion equation and solve for the unknown time to fill the queen-size mattress.

Solving the equation will provide the exact time required to fill the queen-size mattress based on the given information and the relationship between the volumes of the two mattresses.

Learn more about proportion equation here: brainly.com/question/28730073

#SPJ11

Answer:

1.49m

Step-by-step explanation:

Trigonometry:

cosθ = adjacent/hypotenuse

cos(74) = adjacent/(5.39)

adjacent = 5.39 × cos(74)

adjacent = 2.3125974152

1.49 (to 2 d.p.)

The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.

We want to find the values of x such that this probability is 0.98.

We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.

This value is , 2.518.

Therefore, we need to solve the inequalities:

-2.518 ≤ -x ≤ 2.518

Solving for x, we get:

-2.518 ≤ -x x ≤ 2.518

Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ12

Answer:

\( \frac{1}{1.5} \)

Step-by-step explanation:

Let B represent Bill age

A be adam age

C be charlie age

We know that

\(b = 2a\)

We also know that

\(c = b - 3\)

And we know that

\(a + b + c = 27\)

Fist let subsitue c for b-3

\(a + b + (b - 3) = 27\)

\(a + 2b - 3 = 27\)

\(a + 2b = 30\)

We know that b=2a so

\(a + 2(2a) = 30\)

\(a + 4a = 30\)

\(5a = 30\)

\(a = 6\)

Plug that in first equation to solve for b

\(b = 2(6)\)

\(b = 12\)

Finally plug that in the final equation to solve for c.

\(6 + 12 + c = 27\)

\(c = 9\)

Know we want the ratio of Adam age, a to Charlie age, c.

So we have

\( \frac{6}{9} = \frac{2}{3} = \frac{1}{1.5} \)

The probability of not finding the cell phone (i.e., it was stolen) is 0.48 or 48%.

To find the probability of not finding your cell phone (i.e., it was stolen), we can use the law of total probability and calculate the probabilities based on the given information.

Let's define the events:

C = Cell phone was left in the computer lab.

S = Cell phone was stolen.

We are given:

P(C) = 0.4 (probability of leaving the phone in the computer lab)

P(S|C) = 0.3 (probability of it being stolen if left in the computer lab)

P(S|C') = 2 × P(S|C) = 2 × 0.3 = 0.6 (probability of it being stolen if left in the cafe)

Now, let's calculate the probability of not finding the cell phone (it was stolen):

P(S) = P(S|C) × P(C) + P(S|C') × P(C')

P(S) = 0.3 × 0.4 + 0.6 × (1 - 0.4) (since P(C') = 1 - P(C))

P(S) = 0.12 + 0.6 × 0.6

P(S) = 0.12 + 0.36

P(S) = 0.48

Therefore, the probability of not finding your cell phone (i.e., it was stolen) is 0.48 or 48%.

Learn more about probability at

https://brainly.com/question/31828911

#SPJ4

The slope of the regression line connecting X and Y is represented by the regression coefficient bxy, which is -7/3.

The linear relationship between two variables, X and Y, is measured by the regression coefficient bxy. The regression coefficient bxy in this instance is -7/3. By rearranging the provided equation to take the form y = mx + b, which is the equation of a straight line, it is possible to determine this coefficient. The equation is rearranged to give us y = (-7/3)x + 28.10. The slope of the line, which is -7/3, is the coefficient bxy. The negative sign shows that X and Y have an inverse relationship, which means that when one goes up, the other goes down. Regression coefficient, which in this case is -7/3, is a useful indicator of the strength of the linear relationship between two variables.

Learn more about slope here

https://brainly.com/question/3605446

#SPJ4

Answer:

3/6

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

we can do this problem by multiplying straight across the fractions

\(\frac{1}{3}\) * \(\frac{3}{2}\) = 3 / 6

3 / 6 is the same as 1 / 2

the answer is 10, 5 times 2

Answer: since JG is the long line and JL is half of that line, 32/2=16

so JL=16

Answer:

JL=16

hope this help <3

Answer:

6.25π

Step-by-step explanation:

area = πr^2

Answer: 180 degrees

Step-by-step explanation: The interior of a triangle always adds up to 180 degrees so you don't need to do any math.