All categories

2 years ago

Anil wants to multiply 5, 6, and 3. Which expression could Anil write in the box to

Mathematics

2 answers:

Tema [17]2 years ago

8 0

Step-by-step explanation:

5 x 6 x 3 = 90

So option A is the correct answer

5 x 18 = 90

Elis [28]2 years ago

6 0

Answer:

1) 5 * 18

Step-by-step explanation:

Because 6*3 = 18

5*6*3 = 5*18

You might be interested in

Plz do both of them for me and even show the work plzzzzzz

Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function $a_{1}=1$ and $a_{n}=a_{n-1}+n$

Now, substituting the value of n=2 in above equation,

$a_{2}=a_{1}+2$

$a_{2}=1+2$

$a_{2}=3$

Again putting n=3,

$a_{3}=a_{2}+3$

$a_{3}=3+3$

$a_{2}=6$

Putting n=4,

$a_{4}=a_{3}+4$

$a_{4}=6+4$

$a_{4}=10$

Putting n=5,

$a_{5}=a_{4}+5$

$a_{5}=10+5$

$a_{5}=15$

Putting n=6,

$a_{6}=a_{5}+6$

$a_{6}=15+6$

$a_{6}=21$

Putting n=7,

$a_{7}=a_{6}+7$

$a_{7}=21+7$

$a_{7}=28$

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

$a_{1}=5$ and r=-2

The nth term is given by:

$a_{n}=a_{1}r^{n-1}$

For fifteenth term, put n=15 in above equation, we get

$a_{15}=5(-2)^{14}$

= $5{\times}16384$

= $81920$

Hence, the fifteenth term is 81920.

Option 3 is correct.

5 0

2 years ago

a cereal box has dimensions of 2 in., 5 1/3 in., and 10 3/4 in. If the box contains 8 servings, how much volume does each servin

zaharov [31]

Answer:

Step-by-step explanation:

Volume is found by length multiplied by width multiplied by height. Therefore our first equation is 2 multiplied by 5 and 1/3 or 16/5 as a mixed number multiplied by 10 3/4 or 43/10 as a mixed number. This will give us the total volume. As there are 8 servings, we will need to divide by 8 or multiply by 1/8 to find the volume of each serving. The final answer is 86/25 which simplified to 3 and 11/25

5 0

2 years ago

Read 2 more answers

Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, co

sineoko [7]

2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Step-by-step explanation:

The given is,

Initial investment - $5000

Future amount - $6000

Interest rate - 7.5% (compounded quarterly)

Step:1

Formula to calculate the Future amount with compound interest,

$F = P(1+\frac{r}{n} )^{nt}$ ...................................(1)

Where, F - Future amount

P - Initial amount

r - Rate of interest

n - No. of compounding in a year

t - Time period

From given,

F = $6000

P = $5000

r = 7.5%

n = 4 (compounded quarterly)

Equation (1) becomes,

$6000=5000(1+\frac{0.075}{4} )^{(t)(4)}$

$\frac{6000}{5000} =(1+0.01875)^{4t}$

$1.2 = (1.01875)^{4t}$

Take log on both sides,

$log 1.2 = 4(t) log 1.01875$

Substitute log values,

0.07918 = 4(t) (0.0080676)

= (t) (0.0322705)

$t = \frac{0.07918}{0.0322705}$

= 2.45

t ≅ 2.5 years

Result:

2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

3 0

2 years ago

If x² + xy – 3y = 3, then at the point (2, 1), dy/dx

Scilla [17]

Answer:

Step-by-step explanation:

We have the equation:

$x^2+xy-3y=3$

Take the derivative of both sides with respect to x:

$\frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3]$

Implicitly differentiate:

$2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0$

Solve for dy/dx:

$\frac{dy}{dx}(x-3)=-2x-y\\$

Divide:

$\frac{dy}{dx}=-\frac{2x+y}{x-3}$

To find dy/dx at (2, 1), substitute 2 for x and 1 for y. So:

$\frac{dy}{dx}_{(2, 1)}=-\frac{2(2)+1}{2-3}=-\frac{5}{-1}=5$

Hence, our answer is A.

4 0

2 years ago

Which statement best completes the sentence below? If the measure of /_4 is 70^o, then the measure of /_8 is _________________.

Alex_Xolod [135]

Answer:

As given, measure of angle 4 is 70°

Then what would be the measure of ∠8.

Following cases comes into consideration

1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then

∠4 + ∠8=180°

⇒70°+∠8=180° [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

2nd possibility

But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then

⇒ ∠4 + ∠8=180°

⇒70°+∠8=180° [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

3rd possibility

If ∠4 and ∠8 are alternate exterior angles.

then, ∠4 = ∠8=70°

4th possibility

If If ∠4 and ∠8 are corresponding angles.

then, ∠4 = ∠8=70°

Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.

8 0

2 years ago