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2 years ago

PLZ HELP I GIVE BRAINLIEST

Mathematics

1 answer:

Alja [10]2 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The recommended way to multiply mixed numbers is to convert them to improper fractions. Where there are factors that cancel, this works nicely.

$1\dfrac{2}{3}\times1\dfrac{1}{5}=\dfrac{5}{3}\times\dfrac{6}{5}=\dfrac{5\cdot3\cdot2}{5\cdot3}=\boxed{2}$

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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

7 0

3 years ago

PLS HELP a) -3*2-9 b) 2+ -4*-3

alekssr [168]

Answer:

hope this will help you...

Step-by-step explanation:

$a) - 3 \times 2 - 9 \\ solution \\ - 3 \times 2 - 9 \\ - 6 - 9 \\ - 15 \\ \\ b)2 + - 4 \times - 3 \\ solution \\ 2 + - 4 \times - 3 \\ 2 + 12 \\ 14$

7 0

1 year ago

[[ 20 POINTS IF YOU ANSWER THIS QUESTION CORRECTLY. ]]

dezoksy [38]

Answer: the height of the kite is 106.065 ft

Step-by-step explanation:

The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 45 = x/150

Cross multiplying, it becomes

x = 150Sin45 = 150 × 0.7071

x = 106.065 ft

3 0

3 years ago

You have a wooden rod which is 24 1/2 inches long. Carlos needs a piece which is 8 3/4 inches long and Amanda needs a piece whic

ipn [44]

Answer:

8 3/4 inches

Step-by-step explanation:

Total length of the rod = 24 1/2 inches

Carlos = 8 3/4 inches

Amanda = 6 3/8 inches

length of the rod remaining = Total length - ( Carlos + Amanda)

= 24 1/2 - (8 3/4 + 6 3/8)

= 49/2 - (35/4 + 51/8)

= 49/2 - ( 75+51/8)

= 49/2 - 126/8

= 196-126/8

= 70/8

= 8 6/8 inches

= 8 3/4 inches

Length of rod remaining = 8 3/4 inches

6 0

3 years ago

Help please

rusak2 [61]

Answer:

See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

Find the equation of the function f(x), use the points on the graph:

f(x) = ax² + bx + c

c = 5 as the y-intercept is (0, 5)
a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

The function is:

f(x) = -x² + 4x + 5

Find the equation of g(x)

Find the slope of g(x):

m = (1 - 7)/(-1 + 4) = -2

Use (-4, 7) to find its equation:

y - 7 = -2(x + 4)
y = -2x + 7 - 8
y = -2x - 1

<h3>See the required comparison below</h3>

The y-intercepts:

f(x) ⇒ 5,
g(x) ⇒ -1
-5 < - 1

Values at x = 3:

f(3) = -3² + 4(3) + 5 = 8
g(3) = -2(3) - 1 = - 7
8 > 7

Average rate of change in the interval [2,5]:

f(x) ⇒ (0 - 9)/(5 - 2) = -3
g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
-3 < -2

Max of function in the interval [-5, 5];

f(x) ⇒ 9, vertex of the function
g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
9 = 9

4 0

3 years ago

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