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3 years ago

Makenzie graphs the line y= 2x + 13. Which statement is true?

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

Answer:

The point (-4,5) is on the line

Step-by-step explanation:

You can replace the x and y values to determine if it is a true statement

First Statement

5= 2(-4)+13 -> 5= -8+13 -> 5=5 true

Second Statement

-4=2(5)+13 -> -4= 10+13 -> -4 ≠ 23 false

You can automatically eliminate the next two answers because you already found that the first statement is true and because you can find points using an equation.

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a lab has two bacteria cultures.Culture A contains 8×10 to the power 4, and Culture B has 4×10 to the power of 6 bacteria.How do

viktelen [127]

Answer:

392000

Step-by-step explanation:

8*10^4 = 80000

4*10^6= 4000000

4000000 - 80000 = 392000

7 0

3 years ago

A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.

Zepler [3.9K]

Answer: See below

Step-by-step explanation:

14) 26/52 of the cards are red, 1/2

15) All of the cards are red or black, 1/1

16) 4/52 of the cards are aces, 1/13

17) 12/52 of the cards are J/Q/K, 3/13

Convert the fractions to whatever unit is needed.

3 0

3 years ago

Read 2 more answers

For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt

wariber [46]

Answer:

The angle is 1560°

Step-by-step explanation:

The length of an arc in radian is given by s=rФ

where s=length of an arc, r=radius and Ф = angle in radians

The question asked us to find the angle

Given to us is; r =6m and s=52π and Фis what we are to find

From the formula s= rФ

Ф= s/r = 52πm/6m

Ф=52π/6

Ф=26π/3 radians

But the question states that the angle should be in degree, so we will change the above angle to degree, to do that we will simply multiply the angle by 180°/π

Thus;

Ф=26π/ 3 × 180°/π

(The π at the numerator will cancel that of the denominator, and 180° will be divided by 3 to give 60°, we will be left with just 26 and 60 at the numerator)

Ф = 26× 60°

Ф=1560°

Therefore, the central angle (in degree) subtended by an arc with length 52πmeters and radius 6 meters is 1560°

5 0

3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

PilotLPTM [1.2K]

Answer:

105th term of given series is

$a_n=\dfrac{105}{2}$

Step-by-step explanation:

Given series is

$\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....$

As we can see,

$\textrm{First term},a_1=\dfrac{1}{2}$

Also,

$1-\dfrac{1}{2}=\dfrac{3}{2}-1=2-\dfrac{3}{3}=.....=\dfrac{1}{2}$

hence, we can say given series is in arithmetic progression,

with common difference,

$d=\ \dfrac{1}{2}$

As given in question the nth term in A.P is given by

$a_n=a_1+(n-1)d$

since we have to find the 105th term, so we can write

$a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}$

$=\dfrac{1}{2}+\dfrac{104}{2}$

$=\dfrac{105}{2}$

Hence, the 105th term of given series of A.P is $\dfrac{105}{2}$ .

7 0

3 years ago

. Un turist a parcurs un traseu în trei zile. În prima zi turistul a parcurs

Dahasolnce [82]

Answer:

The total length of route travelled in 3 days = 30 km

Lungimea traseului parcurs în cele trei zile = 30 km

Step-by-step explanation:

English Translation of the Question

A tourist traveled a route in three days. On the first day the tourist covered 40% of the length of the route, on the second day the tourist covered 5/6 of the remaining distance after the first day, and on the third day the remaining 3 km. Calculate the length of the route traveled in the three days.

Let the total length of the route be x.

Lungimea traseului parcurs în cele trei zile = x

- On the first day, the tourist covers 40% of the total length of the route;

În prima zi turistul a parcurs 40% din lungimea traseului

That is, 40% of x = 0.4x

- On the second day, the tourist covered 5/6 of the remaining journey.

în a doua zi turistul a parcurs 5/6 din distanța rămasă de parcurs după prima zi

The remaining journey after day 1 = x - 0.4x = 0.6x

(5/6) of the remaining journey = (5/6) × 0.6x = 0.5x

- On the third day, the toursit travels the total remaining length of the route = 3 km

iar în a treia zi restul de 3 km

The total remaining length of the route = x - 0.4x - 0.5x = 0.1x

0.1x = 3

x = (3/0.1) = 30 km

The Hope this Helps!!!

3 0

4 years ago