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4 years ago

Find the first six terms of the sequence.

Mathematics

2 answers:

AnnyKZ [126]4 years ago

6 0

The answer to this is B. " -1 , -2 , -4, - 8, -16 , -32

aleksandrvk [35]4 years ago

4 0

It's b. -1,-2,-4,-8,-16,-32
because
$a_n=2a_{n-1} \mbox{ where } a_1=-1.\\
So\\
a_2=2a_1=-2\\
a_3=2a_2=-4\\
a_4=2a_3=-8\\
a_5=2a_4=-16\\
a_6=2a_5=-32.$

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A hot tub is 75 percent full with 600 gallons

Afina-wow [57]

Answer:

When the hot tub is half full, there are 400 gallons of water in it.

Step-by-step explanation:

If 75% or 3/4 of the hot tub is 600 gallons and you need to find 50% or 1/2. Divide 600 by 3 to get 200 then simply multiply by 2 to get 400.

6 0

3 years ago

which two operations are needed to write the expression that repersents "four times the difference of a number and three"

qaws [65]

Answer:

4 (x-3)hhkjcdrtuvddistheansww

6 0

3 years ago

Calculate the ratios in the table using the side lengths that you recorded in Part C.

exis [7]

Answer:

The ratios are;

$\dfrac{BC}{AB} = \dfrac{3}{5}$

$\dfrac{AC}{AB} = \dfrac{4}{5}$

$\dfrac{BC}{AC} = \dfrac{3}{4}$

$\dfrac{DE}{AD} = \dfrac{3}{5}$

$\dfrac{AE}{AD} = \dfrac{4}{5}$

$\dfrac{DE}{AE} =\dfrac{3}{4}$

Step-by-step explanation:

Given that the lengths of the sides are;

$\overline {AB}$ = 20

$\overline {BC}$ = 12

$\overline {AC}$ = 16

$\overline {AD}$ = 10

$\overline {DE}$ = 6

$\overline {AE}$ = 8

The ratios are;

$\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{BC}{AB} = \dfrac{12}{20} = \dfrac{3}{5}$

$\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AC}{AB} = \dfrac{16}{20} = \dfrac{4}{5}$

$\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{BC}{AC} = \dfrac{12}{16} = \dfrac{3}{4}$

$\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{DE}{AD} = \dfrac{6}{10} = \dfrac{3}{5}$

$\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AE}{AD} = \dfrac{8}{10} = \dfrac{4}{5}$

$\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{DE}{AE} = \dfrac{6}{8} = \dfrac{3}{4}$

3 0

3 years ago

The length of a rectangle is 4 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dime

Paraphin [41]

P = 2(L + W)
P = 34
L = 2W - 4

34 = 2(2W - 4 + W)
34 = 2(3W - 4)
34 = 6W - 8
34 + 8 = 6W
42 = 6W
42/6 = W
7 = W <==== width is 7 cm

L = 2W - 4
L = 2(7) - 4
L = 14 - 4
L = 10 <====length is 10 cm

5 0

3 years ago

Consider the diagram and proof below.

QveST [7]

<span>Given the following statements and Reasons

1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.

The missing reason in step 7 is "</span><span>consecutive ∠s in a ▱ are supplementary"</span>

8 0

3 years ago

Read 2 more answers