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postnew [5]
3 years ago
10

Twice a number increased by 5 is less then -9

Mathematics
1 answer:
polet [3.4K]3 years ago
5 0

Answer:

2x+5<-9

Step-by-step explanation:

multiply the number by 2 and add 5

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The measure of angle A is 15°, and the length of side
dangina [55]

Answer:

Part 1) AB=30.9\ units

Part 2) AC=29.9\ units

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

sin(A)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(15^o)=\frac{8}{AB}

solve for AB

AB=\frac{8}{sin(15^o)}=30.9\ units

Part 2

Find the length side AC

we know that

tan(A)=\frac{BC}{AC} ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(15^o)=\frac{8}{AC}

solve for AC

AC=\frac{8}{tan(15^o)}=29.9\ units

8 0
3 years ago
Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).
Dmitrij [34]

Answer:

y = 14 (6)^{x}

Step-by-step explanation:

For an exponential function of the form y = ab^{x}

Use the given points to find a and b

Using (0, 14 ), then

14 = ab^{0} ( b^{0} = 1 ) , thus

a = 14

y = 14b^{x}

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = \sqrt[3]{216} = 6 , thus

y = 14 × 6^{x} ← exponential function

5 0
3 years ago
Use the change of base formula to approximate the solution to log0.515 = 1 – 2x. Round to the nearest hundredth.
schepotkina [342]

Answer:

-2

Step-by-step explanation:

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75% of of the number 124 is 93
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