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3 years ago

If x = 5, calculate the value of: x3 + x2

1 answer:

4 0

If x=5, you need to plug in the value of x into the equation.
So: assuming that it's x^3 +x^2= 5^3+5^2
(5)*(5)*(5)= 125
(5)*(5)=25
125+25=150
So x^3+x^2, if x=5, is equal 150

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I am just completely lost and am unsure of how to approach this problem.

Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒ 12x = 48°

⇒ x = 4°

now,

∠CBD = 4x + 52°

= 4(4°) + 52°

= 68°

5 0

3 years ago

A package of modeling clay was shaped like a cone with a radius of 25 cm and a height of 7.2 cm. Miriam used all the clay to mak

natima [27]

$25^{2}$ * 3.14 * 7.2 * 1/3
=4710 $cm^{3}$
(x the height)
$15^{2}$ * 3.14 * x = 4710
706.5x = 4710
x=4710 divided by 706.5
=6.66666......
,
=6.6 cm

5 0

4 years ago

Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Squar

aalyn [17]

The simplified equation of $(x - 10)^2 + (y- 6)^2 = 4^2$ is $y = 6+ \sqrt{16 - (x - 10)^2}$

<h3>How to determine the simplified equation?</h3>

The complete question is added as an attachment

The equation is given as

$(x - 10)^2 + (y- 6)^2 = 4^2$

Subtract (x - 10)^2 from both sides

$(y- 6)^2 = 4^2 - (x - 10)^2$

Evaluate 4^2

$(y- 6)^2 =16 - (x - 10)^2$

Take the square root of both sides

$y- 6= \sqrt{16 - (x - 10)^2}$

Add 6 to both sides

$y = 6+ \sqrt{16 - (x - 10)^2}$

Hence, the simplified equation of $(x - 10)^2 + (y- 6)^2 = 4^2$ is $y = 6+ \sqrt{16 - (x - 10)^2}$

Read more about simplified equation at:

brainly.com/question/723406

#SPJ1

6 0

2 years ago

Triangle lmn has sides measuring 7 meters and 6 meters and a perimeter of 16 meters. heron’s formula: area = startroot s (s minu

FromTheMoon [43]

Answer:

9 m²

Step-by-step explanation:

s = half the perimeter = (a+b+c)/2

the perimeter in our case is

a+b+c = 16

so, s = 16/2 = 8

and the sides are

7 m

6 m

16 - 7 - 6 = 3 m

therefore, we get

area = sqrt(8(8-7)(8-6)(8-3)) = sqrt(8×1×2×5) = sqrt(80) =

= 8.94427191... ≈ 9 m²

5 0

2 years ago

Furkat [3]

Answer:

D) 2, 4, 8, 16, 32

Step-by-step explanation:

We have given four sets of sequence.

And we have to find out which sequence is not an arithmetic sequence.

For this the given sequences should satisfy the value of common difference(d) and Arithmetic Progression formula.

A.P. Formula,

$T_n=a+(n-1)d$

Where $T_n$ = nth term of an A.P.

a = first term of an A.P.

n = number of terms.

d = common difference.

'd' is calculated by subtracting fist term from second term.

$d = second\ term-first\ term$

A) 4, 7, 10, 13, 16

$d = 7-4=3$

$d = 10-7=3$

Here d=3 and 5th term is 16.

So we find out the 5th term by using the formula of A.P. To check whether the sequence is in A.P. or not.

$T_5=4+(5-1)3=4+4\times\ 3=4+12=16$

Here the given sequence fulfills the condition of being in A.P.

Hence the given sequence is an arithmetic sequence.

B) 1, 2, 3, 4, 5

$d =2-1=1$

$d =3-2=1$

Here d=1 and 5th term is 5.

$T_5=1+(5-1)1=1+4=5$

Here the given sequence fulfills the condition of being in A.P.

Hence the given sequence is an arithmetic sequence.

C) 15, 9, 3, -3, -9

$d =9-15=-6$

$d =3-9=-6$

Here d=-6 and 5th term is -9.

$T_5=15+(5-1)-6=15+4\times -6=15+(-24)=-9$

Here the given sequence fulfills the condition of being in A.P.

Hence the given sequence is an arithmetic sequence.

D) 2, 4, 8, 16, 32

$d_1=4-2=2$

$d_2=8-4=4$

Here $d_1=2\ But\ d_2=4$

The common difference between the terms is not same.

In case of $d_1$ .

$T_5=2+(5-1)2=2+4\times 2=2+8=10$

In case of $d_2$ .

$T_5=2+(5-1)4=2+4\times 4=2+16=18$

Here the given sequence does not fulfills the condition of being in A.P.

Hence the given sequence is not an arithmetic sequence.

Hence the correct option is D) 2, 4, 8, 16, 32.

4 0

4 years ago