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eduard
2 years ago
9

Jessica and Jonathan do some research to gather all their ingredients and figure out their costs. As shown in the table below, t

hey will use 6 containers of lemon juice, which each contain 0.75 cup of juice.
What is the total volume of lemon juice they will use in their recipe, in cups?
Mathematics
1 answer:
tiny-mole [99]2 years ago
5 0

Answer:

4.5 cups

Step-by-step explanation:

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Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0
horsena [70]

Answer:

x = (-5 ± 2√10) / 3

Step-by-step explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

4 0
3 years ago
Read 2 more answers
I need to determine each angles measure. M 4<br><br> M 6
Ulleksa [173]
By geometrical inspection we have:
 M4 = 30
 Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
 180-90-30 = 60 = M3
 Then to find M6 we have
 M3 + 60 + M6 = 180
 M6 = 180-60-M3
 M6 = 180-60-60
 M6 = 60
 answer:
 M4 = 30
 M6 = 60
7 0
3 years ago
My metric bolt measures .780 with calipers over the threads what size is it
attashe74 [19]
Bolts are usually classified in terms of two types of measurements: the metric system and the imperial system. In calipers, the metric system is in units of millimeters, while the imperial system is in units of inches. For example, when a bolt is sized as 12 × 1.25 in the metric system, that means the bolt thread diameter measures 12 mm, and the thread pitch measures 1.25 mm.

So, if your metric bolt measures 0.78 over the threads, that means that the size of the bolt is 0.78 mm in thread pitch. The attached picture shows how you measure the thread pitch. 

5 0
3 years ago
A company with n employees publishes an internal calendar, where each day lists the employees having a birthday that day. What i
lutik1710 [3]

Answer: 1-(\frac{364}{365})^n

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^x, where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.

We assume that the total number of days in a particular year are 365.

Then , the probability for each employee to have birthday on a certain day :

p=\dfrac{1}{365}

Given : The number of employee in the company = n

Then, the probability there is at least one day in a year when nobody has a birthday is given by :-

P(x\geq1)=1-P(x

Hence, the probability there is at least one day in a year when nobody has a birthday =1-(\frac{364}{365})^n

5 0
3 years ago
*EXTRA PTS* name the relationship between the pair of angles
Harrizon [31]
I’m assuming there is a picture you are missing.
4 0
3 years ago
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