Find the surface area of the prisma

Suppose that g(x) = f(x - 2) +7. Which statement best compares the graph of

sweet [91]

Answer:

A

Step-by-step explanation:

changing the number in the f(x) will shift right and left ( + for left and - for right ) and changing out f(x) will shift up and down ( + for up and - for down)

6 0

3 years ago

A line with a slope of 1/4 passes through (-1,-4). Write the equation of the line in general form.

Assoli18 [71]

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(-1,-4)...x = -1 and y = -4

now sub and find b, the y intercept

-4 = 1/4(-1) + b

-4 = -1/4 + b

-4 + 1/4 = b

-16/4 + 1/4 = b

-15/4 = b

so the equation in slope intercept form is : y = 1/4x - 15/4

but we need it in general form : Ax + By + C = 0

y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions

4y = x - 15......subtract x and add 15 ...to both sides

4y - x + 15 = 0 <=== general form

4 0

3 years ago

The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are fas

irinina [24]

Answer:

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝) = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative hypothesis H₁ : μ ≠ 18.4

Test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }$

Z = 1.183

Conclusion:-

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

8 0

3 years ago

you are a freelancer and were offered two gigs. one will pay you $25,000today and the other will pay you $5,000 per year over th

guajiro [1.7K]

The preferred gig is the first one since its today's worth is greater than the today's value of the second gig

What is the today's worth of $5000 each year?

The worth of the second gig, which pays $5000 every year for the next 6 years in today's dollar is the present value of all the six annual cash flows discounted using the present value formula of an ordinary annuity as shown below:

PV=PMT*(1-(1+r)^-N/r

PV=present value of annual payments for 6 years=unknown

PMT=annual payment=$5000

r=required return=discount rate=8%

N=number of annual cash flows=6

PV=$5000*(1-(1+8%)^-6/8%

PV=$5000*(1-(1.08)^-6/0.08

PV=$5000*(1-0.630169626883105)/0.08

PV=$5000*0.369830373116895

/0.08

PV=$23,114.40

The fact that the present value of the second option which pays $5000 annually is lesser than the amount receivable immediately, which is $25,000, hence, the first gig is preferred

Find out more about ordinary annuity on:brainly.com/question/13369387

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6 0

1 year ago

Find the least whole number N so that 2020 + N is exactly divisible by 11.

Nadusha1986 [10]

2020 + N ≡ 0 (mod 11)

N ≡ -2020 (mod 11)

Notice that 2020 = 183 • 11 + 7, so

N ≡ -(183 • 11 + 7) (mod 11)

N ≡ -7 (mod 11)

N ≡ 4 (mod 11)

8 0

2 years ago