What single decimal multiplier would you use to increase by 8% followed by a 9% increase?

Answer:

4~rational

Step-by-step explanation:

it is a perfect square therefore it is rational because it is a terminating and repeating decimal and it can be made into a fraction

Answer:

Step-by-step explanation:

no body is answering

Answer:

a = 24.0

Step-by-step explanation:

We can use the law of sines to solve

sin 150       sin 12

---------- = ----------

a                    10

Using cross products

10 sin 150 = a sin 12

10 sin 150 / sin 12 = a

a=24.04867

To the nearest tenth

a = 24.0

Please explain in english

Answer:

Đáp án: 180km

Step-by-step explanation:

Giải thích các bước giải:

Gọi quãng đường AB là x (km)

            (x > 0)

Thời gian ô tô đi từ A -> B là x/60 (h)

Thời gian ô tô đi từ B -> A là x/45 (h)

Vì thời gian cả đi và về hết 7h

=> x/60 + x/45 = 7

=> x = 180 (TM)

Vậy quãng đường AB là 180 km

Answer:

$72

Step-by-step explanation:

The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.

The cost of 3 pair of shoes

= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes

= $45 + $27

= $72

So, 3 pairs of shoes will cost $72 today.

Answer:

cos a = 12/13

tan a = 5/12

You use these properties to solve the question,

sin²a+cos²a=1

tana=sina/cosa

Answer:

The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).

Step-by-step explanation:

Before building the confidence interval, the central limit theorem and subtraction of normal variables is explained.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Northern half:

1062 out of 2000, so:

[tex]p_N = \frac{1062}{2000} = 0.531[/tex]

[tex]s_N = \sqrt{\frac{0.531*0.469}{2000}} = 0.0112[/tex]

Southern half:

900 out of 2000, so:

[tex]p_S = \frac{900}{2000} = 0.45[/tex]

[tex]s_S = \sqrt{\frac{0.45*0.55}{2000}} = 0.0111[/tex]

Distribution of the difference:

[tex]p = p_N - p_S = 0.531 - 0.45 = 0.081[/tex]

[tex]s = \sqrt{s_N^2 + s_S^2} = \sqrt{0.0112^2 + 0.0111^2} = 0.0158[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.081 - 1.96*0.0158 = 0.05[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.081 + 1.96*0.0158 = 0.112[/tex]

The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).

Answer:

 =65/139

Step-by-step explanation:

42 red, 45 green, 20yellow, and 32 purple candies = 139 candies

P( green or yellow) = green or yellow / total

                                =(45+20) / 139

                                  =65/139

Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

[tex]25x+136=-x^2+44x+76[/tex]

Simplify:

[tex]x^2-19x+60=0[/tex]

Factor: Both factors must be positive as the days can only be natural numbers.

[tex](x-15)(x-4)=0[/tex]

x=4,15

Answer:

just restart your device

Answer:

i think iys 6 lol

Step-by-step explanation:

its wright

Answer:

?

Step-by-step explanation:

Brainly challenge.

Answer:

base = 18.89

legs = 16.89

Step-by-step explanation:

x + x + 68 = 180

2x + 68 = 180

2x = 112

x = 56

The altitude = 14

Tan(56) = opposite / adjacent

adjacent = base

opposite = altitude

Tan(56) = opposite / base                Multiply both sides by the base

base * Tan(56) = opposite                Divide by Tan(56)

base = opposite / Tan(56)

base = 14/tan(56)

base = 9.443

The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).

base = 18.886  

Legs are the hypotenuse formed by 1/2 the base and the attitude.

Sin(56) = opposite / hypotenuse

Sin(56) = altitude / hypotenuse

hypotenuse = altitude / Sin(56)

hypotenuse = 14 / sin(56)

hypotenuse = 16.887

Rounded

base = 18.89

legs = 16.89

Answer:

?

Step-by-step explanation:

My last person to ask a question

Answer:

$0.76 per cup or 76 cents per cup

Step-by-step explanation:

1 pint is 2 cups

4 pints is 8 cups

We can use ratios to solve

8 cups              1 cup              

------------------ = -----------------

6.08 dollars         x dollars

Using cross products

8x = 6.08

Divide each side by 8

x =6.08/8

x=.76

The entire trip will take 6 days.

(Encircle this answer, as said on the directions)

Step-by-step explanation:

We know that the first three days of the trip, we traveled 1380 miles.

Find the UNIT RATE of MILES PER day:

1380/3 = 460

Unit rate = 460 miles per day

If we were to drive at this (460 mi per day) rate EACH day and the whole journey takes 2760 miles across the country.

FInd the NUMBER of DAYS of the ENTIRE TRIP:

2760/460 = 6

It will take us 6 days to drive to the destination.

Answer:

Your last step ( step 5 ) :

[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]

Step 6:

[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]

.,............. ..... ..nnkkjk

Answer:

$10.42

Step-by-step explanation:

Compound interest formula: A=p(1+r/n)^nt

9=p, r=0.05, n=1, and t=3

A=9(1+0.05)^3

A=9(1.05)^3

Plug this into calculator and you get $10.42

Answer:

A  = $10.42

Step-by-step explanation:

The appropriate formula is the "compound amount" formula given by

A = P(1 + r)^t,

where P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years elapsed.

Here:  

A = $9(1 + 0.05)^3, or

A  = $9(1.05)^3, or

A  = $10.42

Answer:

Step-by-step explanation:

find the value of a and b if 5+√3/7+2√3=a-b√3

Answer:

D. 101

Step-by-step explanation:

(25x+1)+(25x-2)+(20x-1)+82=360

70x=360-1+2+1-82

70x=280

x=4

A=25x+1=101

Answer:

92 is the smaller even integer

Step-by-step explanation:

x = first even integer

x+2 = second even integer

(x) + (x+2) = 186

Combine like terms

2x+2 = 186

Subtract 2 from each side

2x+2-2 =186-2

2x = 184

Divide by 2

2x/2 = 184/2

x = 92

x+2 = 94

Step-by-step explanation:

let,two even consecutive number be x and x+2

now,according to the question

x+x+2=186

or, 2x=186-2

or, 2x= 184

or, x= 184/2

:- x= 92

Hence,

x=92 and x+2= 94

two even consecutive numbers are 92 and 94

Answer:

16 packs

Step-by-step explanation:

Take the number of children and divide by the number of pens in a pack

125/8

15.625

We need to round up to get the number of packs

16 packs

Answer:

125 pens and 16 packs.

Step-by-step explanation:

Given:

Each child gets 1 pen, so there needs to be 125 pens.

Since there are 8 pens in a pack, there will need to be:

125 / 8 = 15.62

Estimate:

16 packs

There needs to be 16 packs for the 125 children.

Answer:

256

Step-by-step explanation:

because all of them are squared so

2^2= 4 balls

2 x 2

4^2 = 16 balls

4 x 4

16^2 = 256 balls

16 x 16

Answer:

-7

Step-by-step explanation:

2(2x+14)=0

2x+14=0

2x=-14

x=-14/2

x=-7

Answered by GAUTHMATH

=============================================================

Explanation:

Let's square both sides and do a bit of algebra to get the following.

[tex]\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\[/tex]

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

[tex]\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\[/tex]

which is the same as solving

[tex]\tan(2x) = \frac{2w}{1-w^2}\\\\[/tex]

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =

Answer: hope this helps ♡

The kite was 16.9 feet high.

Step-by-step explanation:

Pythagorean theorem

b = [tex]\sqrt{c^{2} - a^{2} }[/tex]

b = [tex]\sqrt{22^{2} - 14^{2} }[/tex]

b = [tex]\sqrt{484 - 196}[/tex]

b = [tex]\sqrt{288}[/tex]

b = 16.9

Answer:

y = -x+2

Step-by-step explanation:

The y intercept is 2

The slope is found by using 2 point

I picked (0,2) and (2,0)

m = ( y2-y1)/(x2-x1)

   = ( 0-2)/(2-0)

    = -2/2 = -1

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1x+2

y = -x+2

Answer:

p(a) =|2a+2|

p(–9) = | 2 (–9) +2 | = | –18 +2 | = | – 16 | = + 16

I hope I helped you^_^

Answer:

3:8

Step-by-step explanation:

1.2 to 3.2 is 12:32 or 3:8

Answer:

3/8

Step-by-step explanation:

1.20/3.20

= 12/32

= 3/8 (divide top and bottom by 4)

I hope this helped! :D

Answer:

1. y=-2x+5

2. y=1/2x-7.5

Step-by-step explanation:

you plug in the cordinates for the y intercept and you already have the slope.

y=mx+b

m= slope which is -2