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3 years ago

Is he correct and show work please

Mathematics

1 answer:

mario62 [17]3 years ago

5 0

9514 1404 393

Answer:

yes

Step-by-step explanation:

f(0) = -3 +0.5×0 = -3

f(1) = -3 +0.5×1 = -2.5 = f(0) +0.5

Two linear functions are the same if they agree at two points. Here, f(0) and f(1) are the same for both forms of the function, so these different forms represent the same relation.

Diego is correct.

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What is the product of prime of 60

kap26 [50]

60:2=30
30:2 =15
15:3 = 5
5:5 = 1 so 60 = 2² x 3 x 5

8 0

3 years ago

A punch bowl is in the shape of a hemisphere (half of a sphere) with a radius of 10 inches. The cup part of a ladle is also in

prisoha [69]

Answer:

There are 4 full ladles of punch in the bowl.

Step-by-step explanation:

Given the radius ''R'' the volume of a sphere is :

$V=\frac{4}{3}(\pi)R^{3}$

Therefore, the volume of half of a sphere is :

$V(HalfOfASphere)=\frac{V(Sphere)}{2}$

$V(HalfOfASphere)=\frac{2}{3}(\pi)R^{3}$

Let's start calculating the volume of the punch bowl (inches = in) :

$V(PunchBowl)=\frac{2}{3}(\pi)(10in)^{3}=\frac{2000}{3}(\pi)in^{3}$

Now we calculate the volume of the cup part of the ladle :

$V(Ladle)=\frac{2}{3}(\pi)(6in)^{3}=144(\pi)in^{3}$

Finally we divide the volume of the punch bowl by the volume of the ladle

$\frac{V(PunchBowl)}{V(Ladle)}=\frac{\frac{2000}{3}(\pi)in^{3}}{144(\pi)in^{3}}=4.63$

They are 4.63 ladles in the punch bowl. Therefore, there are 4 full ladles of punch in the bowl.

6 0

4 years ago

A restaurant needs pound 7/8 of cinnamon. The price of cinnamon is $20 per pound. How much does the restaurant spend on cinnamon

Lorico [155]

Answer:

$17.50

Step-by-step explanation:

Multiply 7/8 by 20/1, to find 7/8 of $20.00.

7/8 × 20/1 = 140/8

140 ÷ 8 = 17.5

Once you convert to money, this is $17.50.

4 0

2 years ago

A school bag weighs 1.750 kg corrected to the nearest gram. What is the percentage error in this measurement?

Lelu [443]

Answer:

5.71%

Step-by-step explanation:

1.75 kg = 1750 gm ( 1kg = 100gm)

So if the corrected weight is to the nearest gram, the bag can weigh ± 1 gm from the corrected weight

So the error is 1/1750 = 1 /1750 x 100 % = 5.71%

7 0

3 years ago

PLSSS HELPPPP>>> Show work Solve the system y= -x+3 y=3/2x-2

vovangra [49]

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

y = - x + 3 → (1)

y = $\frac{3}{2}$ x - 2 → (2)

Substitute y = $\frac{3}{2}$ x - 2 into (1)

$\frac{3}{2}$ x - 2 = - x + 3 ( multiply through by 2 to clear the fraction

3x - 4 = - 2x + 6 ( add 2x to both sides )

5x - 4 = 6 ( add 4 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 2 + 3 = 1

Solution is (2, 1 )

7 0

3 years ago