5x+60° what is the measurement of this angle.​

Answers

Answer 1
Answer:

Answer:

x=6, 90 degree angle total?

Step-by-step explanation:

Hopefully this is a 90 degree angle, 90-60=30

30/5=6

x=6


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What is the distance between points (2,3) and (7,0) to the nearest tenth

Answers

Answer:

5.83

Step-by-step explanation:

A bacteriologist estimates that there are 5.2×10^4 bacteria growing in each of 20 petri dishes. About how many bacteria in total are growing in the petri dishes? Express your answer in scientific notation

Answers

Answer:

1X10^6

or

1.04x10^6

Step-by-step explanation:

You start by multiplying 5.2x10^4 by 20 because there are 20 petri dishes with this amount growing, and you get 1,040,000. Now we need to convert it to scientific notation. We know that 1,000,000 is 10^6, so we would move the decimal to the left 6 places and get 1.04x10^6. This is in scientific notation, but we need to keep in mind significant figures (sig figs), so your final answer would be 1x10^6, if that is not what your instructor is looking for, try 1.04x10^6.

Final answer:

The total amount of bacteria growing in the 20 petri dishes is calculated by multiplying the amount of bacteria in each dish (5.2×10^4) by the number of dishes (20), which gives a result of about 1.04×10^6 bacteria.

Explanation:

Given that there are approximately 5.2×10^4 bacteria in each dish and there are 20 petri dishes, we can find the total amount of bacteria by multiplying these two values together. The calculation is as follows: 5.2×10^4 bacteria/dish * 20 dishes = 1.04×10^6 bacteria. Therefore, there are about 1.04×10^6 bacteria in total growing in the petri dishes.

Learn more about Scientific Notation here:

brainly.com/question/2005529

The function C (1)31+ 2 is the cost to order a lip gloss L,including the flat rate shipping charge. Which of the for
represents the cost of purchasing 5 lip glosses? (1 point)

C (5)=5
1=5
C (5)
C (1) = 5

Answers

Answer:

Therefore, the cost of purchasing 5 lip glosses, as represented by the function C(5), is 41.

Step-by-step explanation:

To find the cost of purchasing 5 lip glosses, we need to use the given function C(1) = 31 + 2, which represents the cost of ordering one lip gloss including the flat rate shipping charge. To find the cost of purchasing 5 lip glosses, we can substitute 5 for the variable in the function: C(5) = 31 + 2 * 5 C(5) = 31 + 10 C(5) = 41

Final answer:

The cost of purchasing 5 lip glosses represented in the function C(1)=31+2 is evaluated as C(5)=31+2*5, which equals 41 units.

Explanation:

This question involves the mathematical concept of functions, specifically, simple linear functions. In this example, we have the function C(1)=31+2, which informs us that the cost to order one lip gloss, denoted as 'L', is '31 plus twice the number of lip glosses ordered'

To answer the question 'What represents the cost of purchasing 5 lip glosses?', we substitute the number of lip glosses we want to buy (5) into our function. So instead of evaluating C(1), we evaluate C(5)=31+2*5, following the same structure of '31 plus twice the number of lip glosses ordered'. The solution to this would be C(5)=41, meaning it would cost 41 units (the currency isn't stated) for 5 lip glosses.

Learn more about Mathematics Functions here:

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9.35 as a fraction in simpliest form

Answers

we know that
the number 9.35
is equal to 
9+0.35
and
0.35  is equal to
35/100
divide by 5 both members
(35)/(100) = (7)/(20)

therefore

the number 9.35  is equal to  9  (7)/(20)

The correct answer is:

9 7/20.

Explanation:

Reading this decimal, we would say "nine and thirty-five hundredths." This means we can write it as a fraction in the form

9 35/100.

To simplify the fraction, we look for common factors in the numerator and denominator. The numerator ends in 5 and the denominator ends in 0, so both are divisible by 5:

(35÷5)/(100÷5) = 7/20

From this point, the only numbers that are factors of 7 are 1 and 7; while 1 is a factor of everything, 7 will not go into 20, so this does not simplify further.

Thus we have 9 7/20.

Solve the simultaneous equation, 5x=2y+1 2x-3y+4+0

Answers

Hello,

I suppose the 2th equation is 2x-3y+4=0

5x-2y=1 ........|*2        | *3
2x-3y=-4....... |*(-5)    | *-2
==> -4y+15y=2+20==>11y=22==>y=2
and 15x-4x=3+8 ==>11x=11 ==>x=1
Proof:

5*1=? 2*2+1 yes
2*1-3*2+4=? 0 yes (linear combinaison method)

Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?

Answers

recall that to get the x-intercepts, we set the f(x) = y = 0, thus

\bf \stackrel{f(x)}{0}=-4cos\left(x-(\pi )/(2)  \right)\implies 0=cos\left(x-(\pi )/(2)  \right)\n\n\ncos^(-1)(0)=cos^(-1)\left[ cos\left(x-(\pi )/(2)  \right) \right]\implies cos^(-1)(0)=x-\cfrac{\pi }{2}\n\n\nx-\cfrac{\pi }{2}=\begin{cases}(\pi )/(2)\n\n(3\pi )/(2)\end{cases}

\bf -------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\n\n-------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{3\pi }{2}\implies x=\cfrac{3\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{4\pi }{2}\implies \boxed{x=2\pi }