Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10] ​

Answer:

Below

Step-by-step explanation:

Formula for an arithmetic sequence is an = 4n - 5

First 4 terms are

-1, 3, 7, 11.

10th term = 4(10) - 5

= 35.

An equation is a collection of variables and constants with the value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

7+3(x - 1)=5x+-2(x+1)

7 + 3x - 3 = 5x + 2x + 2

3x + 4 = 7x + 2

7x + 2 = 3x + 4

7x - 3x = 4 - 2

4x = 2

x = 1/2

Hence "The value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2".

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Answer:

A

Step-by-step explanation:

Answer:

Infinite many solutions.

Step-by-step explanation:

This system of equations has infinitely many solutions because, the first equation, is the same as the second equation.

x+ y = 5

2x + 2y = 10

-2x - 2y = -10

Answer:

m<AJK = 90 degrees

m<BKJ = 90 degrees

m<CLJ = 90 degrees

The line of the reflection has been returned to its original position.  Use the ruler to measure these two segments.

BK = 2.2 units

KB' = 2.2 units

Record the lengths of these segments.

AJ = 5.6 units

JA' = 5.6 units

Record the lengths of these segments.

CL = 3.8 units

LC' = 3.8 units

Which segments have equal lengths?

corresponding segments

Change the position of the line of reflection.  Does the line of reflection appear to be a perpendicular bisector of the segments that connect corresponding vertices?  

Yes

Answer:

they are all 90

Step-by-step explanation:

edg 2021

Kristen can visually illustrate the relationship between the angles of the individual triangles and demonstrate that the sum of the angles within each triangle is 180 degrees.

To demonstrate that all interior angles in a triangle add up to 180 degrees, Kristen should arrange the three identical triangular pieces in a specific way.

Kristen should arrange the three triangular pieces such that they form a straight line or a straight angle. In other words, she should align the three vertices of the triangles in a straight line.

When the triangular pieces are arranged in this manner, the interior angles of the individual triangles will combine to form a straight angle, which measures 180 degrees. This alignment visually represents the concept that the interior angles of a triangle add up to 180 degrees.

By arranging the pieces in a straight line, Kristen can visually illustrate the relationship between the angles of the individual triangles and demonstrate that the sum of the angles within each triangle is 180 degrees.

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The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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Answer:

x=5cm

Step-by-step explanation:

\(\sqrt{4^{2}+3^{2} } =5\)

Step-by-step explanation:

1  1/4  = 5/4

5/4 ÷ 5/7   =   5/4 * 7/5  =  35 / 20  =  7/4  =   1  3/4

Answer:1 whole +  1/4÷5/7 = -0.5617339+0.4107813i

Not really ready. But will be! FYI that's not really a question.

The P-value for this hypothesis test is 0.00215

The p-value hypothesis test gives a measure of how much evidence is present to reject the null hypothesis. The smaller the p-value, the higher the evidence against the null hypothesis.

Given that:

Null Hypothesis: mu1 = mu2

Alternative Hypothesis: mu1<mu2

Notice that the alternative hypothesis is a one-tailed test

Now, when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).

so, given output ( z=3.25, p=0.0043)

since its one-tailed test:

P-value for this hypothesis test = 0.0043/2 = 0.00215

Therefore, the P-value for this hypothesis test is 0.00215

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A good description of the cross section shown that is parallel to the edge of the pyramid that measures 5​ millimeters is a triangle with base of 5 millimeters and height of 16 millimeters.

In Mathematics and Geometry, a square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.

In Mathematics and Geometry, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

In this context, we can reasonably infer and logically deduce that the edge of the prism that measures 5 millimeters represents a triangle with base of 5 millimeters and height of 16 millimeters.

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The single expression that represents the surface area of the rectangular prism is :

S= 2lw + 2lh + 2wh

Let us assume the l is length, width is w and h is the height of the rectangular prism.

What is the rectangular prism?

In geometry, a rectangular prism can be stated as a 3-dimensional solid shape that has 6 faces with its base as rectangles.

So, the surface area S would be :

S = surface area

S= 2lw + 2lh + 2wh

where,

l= length

w= width

h = height

Therefore, the surface area of the rectangular prism is :

S= 2lw + 2lh + 2wh

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Final Answer:

Rectangular Prism: A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent. Like all three-dimensional shapes, a rectangular prism also has volume and surface area.

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Answer:

22

Step-by-step explanation:

Answer:

C. 30% decrease

Step-by-step explanation:

hope it helps

Answer:

Equations:

a + b = 19

a = b + 2

a = Money that spent Laura

b = Money that spent Laureen

then:

(b+2) + b = 19

2b + 2 = 19

2b = 19-2

2b = 17

b = 17/2

b = 8.5

a = b + 2

a = 8.5 + 2

a = 10.5

Check:

10.5 + 8.5 = 19

Answer:

The answer is \(\frac{4}{13}\).

Step-by-step explanation:

Additive rule:

According to this rule, the probability that events A or B will occur is given by the formula,

\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Here,

We know that there are 13 spades and 4 queens in a deck of 52 cards. Also, there is only one queen of a spade.

Then,

\(\begin{aligned}P(S)&=\frac{13}{52}\\P(Q)&=\frac{4}{52}\\P(S\cap Q)&=\frac{1}{52}\end{aligned}\)

Therefore, the probability that the card you select is a spade or queen is given by,

\(\begin{aligned}P(S\cup Q)&=P(S)+P(Q) -P(S\cap Q)\\&=\frac{13}{52}+\frac{4}{52}-\frac{1}{52}\\&=\frac{16}{52}\\&=\frac{4}{13}\end{aligned}\)

Therefore, the answer is \(\frac{4}{13}\).

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Answer:

1

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

     We can find the slope by using the slope formula.

           \(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

           \(\displaystyle \frac{4-0}{4-0}\)

           \(\displaystyle \frac{4}{4}\)

           1

The Land's Beginning mail-order catalog company receives 150 calls per hour on their 800 number. They have 20 operators who can each handle 6 calls per hour. The company can have a maximum of 20 calls on hold, and it costs $25 in lost sales when a customer receives a busy signal.

To determine the optimal number of operators for the Land's Beginning mail-order catalog company, we need to consider the tradeoff between the cost of adding more operators and the cost of lost sales due to busy signals.

First, we can calculate the average number of calls in the system using the formula:

L = λ/(μ - λ) + (λ/(μ - λ))^21 * (μ/(μ-λ)) * (1 - (λ/μ)\(^20\)),

where λ is the arrival rate (150 calls/hour), and μ is the service rate (20 operators x 6 calls/operator = 120 calls/hour).

Using this formula, we get L = 7.27.

Next, we can calculate the probability that a call will be blocked (i.e., receive a busy signal) using the formula:

\(P_b\) = (λ/(μ + Kλ)) * (1 - (λ/μ)^K),

where K is the number of lines (20) and λ and μ are as before.

Using this formula, we get\(P_b\) = 0.044.

The cost of lost sales per blocked call is $25, so the total cost of lost sales is $25 x 0.044 x 150 = $165.

To minimize the total cost, we can use the Erlang-C formula to find the minimum number of operators required to achieve a target service level. If we set a target service level of 80%, we get the minimum number of operators required as 25.

However, we also have the constraint that the total number of operators plus calls on hold cannot exceed 40. Therefore, we need to find the number of calls that can be placed on hold while keeping the total number of operators and calls on hold at or below 40. Using a little algebra, we can find that this maximum number of calls on hold is 15.

Therefore, the Land's Beginning mail-order catalog company should employ 20 operators and allow up to 15 calls to be placed on hold to minimize their total cost.

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Answer:

NO

Step-by-step explanation:

First, we should simplify both fractions to the most simple form.

4/14=2/7

12/40=6/20=3/10

A proportion means that it is equal. 2/7 does not equal 3/10, so the answer is no.

Answer:

y = 0, y = \(\frac{1}{3}\), y = \(\frac{3}{4}\)

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

3y - 1 = 0 ⇒ 3y = 1 ⇒ y = \(\frac{1}{3}\)

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = \(\frac{3}{4}\)

Answer: A

Step-by-step explanation:

To solve this youd have to do 72-15 which equals out to be 68 feet.

Your answer is The submarine descended 68 feet.

Roses: 6

Daisies: 15 - 6

= 9

The ratio of all flowers to all rose flowers.

15:9

The ratio of roses to daisies.

6:9

2:3 (simplified)

The volume of the trapezoidal prism would be = 22.05 ft³

To calculate the volume of the prism, the formula that should be used is given below. That is

Volume of trapezoid prism = area of base × height.

The area of base = 6.3ft²

The height = 3.5ft

Therefore the volume = 6.3×3.5

= 22.05 ft³

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We prove that both side are equal.

In the given question,

The given expression is 16p + 8 = 2(8p+4).

We have to prove that both side are equal.

To solve this question we use have to follow some rule.

Some Rules are

In this given question to solve the expression we firstly solve the bracket.

To solve this question we use Distributive Property

In this property a(b+c) = ab+ac

Solving the expression

16p + 8 = 2×8p+2×4

16p + 8 = 16p+8

Hence, we prove that both side are equal.

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