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3 years ago

1/1

1 answer:

6 0

1+2=3, 12 divided by 3=4 4x1=4, so there is 4 red marbles. 4x2=8 so there is 8 blue marbles. We can check this is true by adding 8+4 which =12.

blue=8
red=4

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The function ƒ(x) = x is vertically translated 1 unit up and then reflected across the y-axis. What's the new function g(x)?

tigry1 [53]

Answer:

Step-by-step explanation:

-x is the reflection and +1 is the translation

4 0

3 years ago

A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the ju

weeeeeb [17]

Answer:

x = 9.5 m

Step-by-step explanation:

Given:

This problem is based on 2D motion kinematics equations:

$V_0 = 12 m/s$

$\theta = 20^0$

$g=9.8 m/s^2$

At maximum height:

$V_y = 0$

Components of initial velocity:

$V_0x = V_0 cos (\theta) =(12 )(cos (20^0)) = 11.3 m/s$

$V_0x = V_0 sin (\theta) = (12)(sin (20^0)) = 4.10 m/s$

To find time to reach maximum height:

$V_y = V_0y -gt$

Plugging in the known values:

0 = 4.10 - 9.8t

$t = \frac{-4.10}{-9.8}$

$t = 0.418 s$

Total time = 2t = 2(0.418) = 0.836 s

to find horizontal distance covered:

$x = (V_0x)(t)\\x = (11.3)(0.836)\\x = 9.5 m$

8 0

4 years ago

What is -14 1 over 9 -2 9 over 10

gayaneshka [121]

-14 1/9 - 2 9/10
Convert the mixed numbers into improper fractions
-127/9 - 29/10
Multiply until both fractions have the same common denominator
-1270/90 - 261/90
Subtract the numerators but NOT the denominators
Final Answer: -1531/90 or -170 1/9 *Both fractions are equivalent to each other.

5 0

4 years ago

En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la

PSYCHO15rus [73]

Answer:

63 dm (aproximadamente)

Explicación paso a paso:

Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.

Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:

h = sqrt (54 ^ 2 + 32,4 ^ 2)

h = sqrt (2916 + 1049,76)

h = sqrt (3965,76)

h = 62,974280

h = 63 dm (aproximadamente)

7 0

3 years ago

A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Sup

valina [46]

Answer:

The grade of this sixth and (final) test <u>would be 91</u>.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

5 0

3 years ago