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3 years ago

n. f .39 W I - '5 Ln Xe ,3; / , ya 9 x+ his w » . ; é v Q ' 7 22:3 , - - ' ‘ ' .91. I ' ~ I r

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Ok so just subsitute 5
A
3=2(5)-7
3=10-7
3=3
true

B
3<2(5)-9
3<10-9
3<1
false

C
2<5+6
2<11
true

D
18=6(5)-12
18=30-12
18=18
true

E
3=2+5
3=7
false

true ones are
A,C,D

41. brick has legnth of 2 and 2/5, bla bla bla
how many 1/5 cubes fit along the LEGNTH of brick
aka, how many 1/5's are in 2 and 2/5
2 and 2/5=5/5+5/5+2/5=12/5
how many 1/5 are in 12/5
12
answe is C

40. A,C,D
41. C

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Use the following information to answer all parts of question 3.3a: What is the area of the triangle? (Area of triangle = 1/2*b*

Anit [1.1K]

Answer:

See below ~

Step-by-step explanation:

3a : Area of the triangle

A = 1/2bh
A = 1/2 x 10 x 8
A = 5 x 8
A = 40 m²

3b : Area of the semicircle

Finding the radius (equal to 1/2 of the triangle hypotenuse)
Apply Pythagorean Theorem here
√8² + 10² = d
√64 + 100 = d
d = √164
d = 2√41
r = √41

A = πr²/2
A = 3.14 x (√41)² / 2
A = 1.57 x 41
A = 64.4 m² (nearest tenth)

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2 years ago

A small company manufactures picnic tables. The daily fixed cost is 1,200 and the variable cost is $45 per table. How many picni

nekit [7.7K]

Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:

C(n) = 1200 + 45n.

Now, we have to solve for n when C(n) = 4800, hence:

1200 + 45n = 4800

45n = 3600

n = 3600/45

n = 80.

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago

Find the ninth term of the

pantera1 [17]

Answer:

$a_{9}$ =0.00015241579

Step-by-step explanation:

Use the formula for geometric sequences:

$a_{n}$ = $a_{1}$ $r^{n-1}$

Substitute 1 in for $a_{1}$ , -1/3 in for r, and 9 in for n

$a_{9}$ =(1)(-1/3^9-1)

$a_{9}$ =(1)(-1/3^8)

$a_{9}$ =(1)(0.00015241579)

$a_{9}$ =0.00015241579

Hope this helps! :)

5 0

3 years ago

The data shown represent the number of runs made each year during Bill Mazeroski’s career. Check for normality.

const2013 [10]

Answer:

The given data is not normal.

Step-by-step explanation:

We are given the following data:

30, 59, 69, 50, 58, 71, 55, 43, 3, 66, 52, 56, 62, 36, 13, 29, 17, 31

Condition for normality:

Mean = Mode = Median

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{800}{18} = 44.44$

Mode is the most frequent observation of the data.

Since all the value appeared once, there is no mode.

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 3, 13, 17, 29, 30, 31, 36, 43, 50, 52, 55, 56, 58, 59, 62, 66, 69, 71

Median =

$=\dfrac{9^{th}+10^{th}}{2} = \dfrac{50+52}{2}=51$

Since the mean, mode and median of data are not equal, the data is not normal.

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3 years ago

A particular train is 25 feet tall. A model of the train was built with a scale of 4 inches which is equal to 5 feet. How tall i

sergeinik [125]

The answer is 20in. You multiply 4 by 5 because 5x5 is 25 so the answer is 20

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3 years ago