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MissTica
2 years ago
6

What is the value of z in the equation 3z - 7 = 14?

Mathematics
2 answers:
aleksandr82 [10.1K]2 years ago
5 0

Answer:

<em>7</em>

Step-by-step explanation:

You need to solve for z

Add 7 to both sides

3z = 21

Divide by 3

z = 7

IgorLugansk [536]2 years ago
5 0

Answer:

the answer is z= 2.3333333333333335

Step-by-step explanation:

PLZ mark brainliest thank you goodnight.

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Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra
Oksana_A [137]

Answer:

The area of the pyramid is 360 unit²

Step-by-step explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}

Substitute values for a and h

A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}

Evaluate all squares

A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}

A = 100 + 2 * 10 * \sqrt{25 + 144}

A = 100 + 2 * 10 * \sqrt{169}

Take positive square root of 169

A = 100 + 2 * 10 * 13

A = 100 + 260

A = 360

<em>Hence, the area of the pyramid is 360 unit²</em>

4 0
2 years ago
Lisa wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 65°." Which state
JulijaS [17]
Triangles always equal 180 degrees

4 0
2 years ago
The exhaust system of an automobile is first given an emission check and then given a vibration check. The result of an emission
Andre45 [30]

Answer:

Step-by-step explanation:

The sample space is known to be the set of all possible outcomes of an experiment we cannot predict its outcome while the event space showcases the subset of the sample space, this may be a collection of outcomes of a random experiment.

From the given information:

The sample space = {SH, SL, SN, MH, ML, MN,UH, UL, UN}

The event that the emissions check is satisfactory = {SH, SL, SN}

8 0
1 year ago
Davison Electronics manufactures two LCD television monitors, identified as model A andmodel B. Each model has its lowest possib
shtirl [24]

The question is incomplete. The complete question is :

Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison’s new production line. However, the new production line does not have the capacity to handle the total production of both models. As a result, at least some of the production must be routed to a higher-cost, old production line. The following table shows the minimum production requirements for next month, the production line capacities in units per month, and the production cost per unit for each production line:

                      Production per unit                         Minimum production

Model        New Line        Old Line                              requirements

A                   $30                $50                                          50,000

B                   $25                $40                                           70,000

Production  80000          60000

line capacity.

Let

AN- Units of model A produced on the new production line

AO Units of model A produced on the old production line

BN Units of model B produced on the new production line

BO Units of model B produced on the old production line

Davison's objective is to determine the minimum cost production plan. The computer solution is shown in Figure 3.21.

a. Formulate the linear programming model for this problem using the following four constraints:

Constraint 1: Minimum production for model A

Constraint 2: Minimum production for model B

Constraint 3: Capacity of the new production line

Constraint 4: Capacity of the old production line  

Solution :

<u>Linear programming model</u>:

Linear programming is defined as a mathematical model where the linear function is either minimize or maximize when they are subjected to some constraints.

The linear programming model is determined as follows :

Minimum : 30 AN + 50 AO + 25 BN + 40 BO

This is subject to the constraints as :

AN+AO \geq 60,000

BN+BO \geq 70,000

AN+BN \leq 80,000

AO+BO \leq 60,000

Learn more :

https://brainly.in/question/15044395

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2 years ago
Daniel wants to do 312 practice problems to prepare for an exam. if he wants to do approximately the same number of problems eac
alexandr1967 [171]

Answer:

Step-by-step explanation:

6 0
2 years ago
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