(-32) +(-8) -(+40)+(40)+(78)-(46)​

x = -1

Step-by-step explanation:

[tex] {4}^{5x} = {2}^{2(5x)} = {2}^{10x} [/tex]

[tex] {( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)} [/tex]

or

[tex] {2}^{10x} = {2}^{(5x - 5)} [/tex]

Since both sides have the same base, we can write

10x = 5x - 5

or

5x = -5

x = -1

Answer:

1260

Step-by-step explanation:

5÷100=0.05

0.05×25200=1260

Answer:

Step-by-step explanation:

as given j=h and k=m then which expression for g is

as from attached image , we can see that its look like two right angle triangle

so from lower triangle we apply the pythagorean theorem .

which state that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

so small triangle ΔEBD

h² +k²= g²       ---------------(1)

now from big triangle ΔABC

(j + h)² +(m + h)² =f²---------(2)

given j=h and k=m so from equation-2 we can find ,

(h + h)² +(k+ k)² =f²

(2h)² +(2k)²=f²

4h²+ 4k²= f²

4(h²+k²)= f² ----------(3)

now from equation 1 and 3 we can obtained .

4×g² =f²

take square root both side we get,

2×g=f

so g=f/2----- Answer

1.

[tex](3 {x}^{2} - 4x - 1) + (8 {x}^{2} - x + 6) \\ \\ combining \: the \: like \: terms,\:we\:have\\ \\ = 3 {x}^{2} + 8 {x}^{2} - 4x - x - 1 + 6 \\ \\ = 11 {x}^{2} - 5x + 5[/tex]

2.

[tex](6 {x}^{2} - x - 4) + ( 2{x}^{2} + 5x - 5) \\ \\combining \: the \: like \: terms, \: we \: have \\ \\= 6 {x}^{2} + 2 {x}^{2} - x + 5x - 4 - 5 \\ \\= 8 {x}^{2} + 4x - 9[/tex]

3.

[tex](4 {x}^{2} + 2x - 5) + (6 {x}^{2} - x - 5) \\ \\ combining \: th e\:l ike \: terms, \: we \: have \\ \\= 4 {x}^{2} + 6 {x}^{2} + 2x - x - 5 - 5 \\ \\= 10 {x}^{2} +x - 10[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

d and e

Step-by-step explanation:

for a

substitute 2 for x

2 + 8 > 14

2 + 8 = 10

10 > 14

10 is not greater than 14 therefore 2 is not a solution to the inequality

for b

substitute 4 for x

4 + 8 > 14

4 + 8 = 12

12 > 14

12 is not greater than 14 therefore 4 is not a solution to the inequality

for c

substitute 6 for x

6 + 8 > 14

6 + 8 = 14

14 > 14

14 is not greater than 14 therefore 6 is not a solution to the inequality

for d

substitute 8 for x

8 + 8 > 14

8 + 8 = 16

16 > 14

16 is greater than 14 therefore 8 is a solution to the inequality

for e

substitute 10 for x

10 + 8 > 14

10 + 8 = 18

18 > 14

18 is greater than 14 therefore 10 is a solution to the inequality

we can conclude that the answers are d and e

Answer:

n = -4

Step-by-step explanation:

[tex](\frac{5}{3} )^2^n^+^1 * (\frac{5}{3} )^5 = (\frac{5}{3})^n^+^2[/tex]

in multiplication if the base are same u can add there exponent.

[tex](\frac{5}{3})^2^n^+^1^+^5 = (\frac{5}{3})^n^+^2[/tex]

base of both sides are equal so their exponent will be equal

2n + 1 + 5 = n + 2

2n + 6 = n + 2

2n - n = 2 - 6

n = -4

Answer:

10.5 miles

Step-by-step explanation:

[tex]\frac{4\frac{2}{3} }{49} :\frac{1}{y}[/tex]

4 2/3 × y = 1 × 49

[tex]4\frac{2}{3}y=49[/tex]

[tex]4\frac{2}{3}y/4\frac{2}{3} =49/4\frac{2}{3}[/tex]

[tex]y = 10\frac{1}{2}[/tex]

Answer:

The x Intercepts of y=5x^2-15x is (1, 0) and (-1, 0)

Step-by-step explanation:

Answer:

(0,0) and (3,0)

Step-by-step explanation:

5x²-15x = 0

5x(x-3) = 0

5x=0;    x=0

x-3=0;   x=3

[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]

Answer:

1,3,4,6

Step-by-step explanation:

Step-by-step explanation:

everything can be found in the picture

Answer:

∠EFG=2×∠EHG

∠EFG=2×42

∠EFG=84°

so,m∠EFG=84°

------------------------

hope it helps...

have a nice day!!

Answer:

impossible

Step-by-step explanation:

a denominator can’t be equal to 0. So:

d ≠ 0 ; d ≠ 2

(10 + 4d - 8)/d(d-2) = 5d/ d(d-2)

4d + 2 = 5d

d = 2

But we have said that d can’t be equal to 2, so the equation is impossible.

Answer:

[tex]1 + cot^2 \theta[/tex]

Step-by-step explanation:

Given the expression;

[tex]\frac{tan^2\theta+1}{tan^2 \theta}[/tex]

Separating into partial fraction;

[tex]\frac{tan^2 \theta}{tan^2 \theta} + \frac{1}{tan^2 \theta}\\= 1 + \frac{1}{tan^2 \theta}\\\\[/tex]

Since [tex]\frac{1}{tan \theta} = cot \theta\\[/tex]

Hence the expression becomes;

[tex]1 + cot^2 \theta[/tex]

The quotient 35 divided by 11 is the only one among the options that is greater than 3.

To determine which quotient is greater than 3, we can calculate the value of each quotient:

28 divided by 10 = 2.8

35 divided by 11 ≈ 3.182

38 divided by 13 ≈ 2.923

40 divided by 14 ≈ 2.857

Comparing these values, we can see that only the quotient 35 divided by 11, which is approximately 3.182, is greater than 3.

Therefore, the quotient 35 divided by 11 is the only one among the options that is greater than 3.

To know more about divided:

https://brainly.com/question/15381501

#SPJ6

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.

Answer:

a + b = 7

Step-by-step explanation:

a^2 - b^2 = 21

Factor the left side. It is the difference of two squares which factors into the product of a sum and a difference.

(a + b)(a - b) = 21

We are told a - b = 3, so substitute 3 for the factor a - b.

(a + b)(3) = 21

Divide both sides by 3.

a + b = 7

Answer:

[tex]n + 5 = 12[/tex]

Step-by-step explanation:

"A number increased by a 5 is 12".

The value of n.

[tex]n + 5 = 12[/tex]

[tex]n = 12-5[/tex]

[tex]n = 7[/tex]

Answer:

7

Step-by-step explanation:

subtract the sum, in this case 12. by 5 to get the answer. 12-5=7

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that [tex]a = -3, b = 3[/tex]

[tex]f(x) = x^2 + 3x + 6[/tex]

So

[tex]f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24[/tex]

[tex]f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6[/tex]

Average rate of change

[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5[/tex]

The average rate of change of the function over the interval is 5.

Answer:

It is easier to hammer a sharp nail than a blunt one

Step-by-step explanation:

This is because blunt nail occupies more area than sharped nail. As sharp will exert more pressure as it occupies less area.

Answer:

x =62

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+118 = 180

Subtract 118 from each side

x = 180-118

x =62

Answer:

x = 62°

Step-by-step explanation:

These both angles are located at straight line.

So, the sum of both angles is 180 °.

x + 118 ° = 180 °

Subtract 118 ° from 180 °

x = 180 ° - 118 °

x = 62 °

Rewrite 50% as a decimal : 0.50

Multiply the price by 0.50:

18 x 0.50 = 9

The sale price is $9

Answer:

$9

Step-by-step explanation:

price of an item=$18

discount=50%

sale price =? (be x)

sale price= original price -discount% of original price

x=$18 -50/100 * $18

x=$1800-$900/100

=$900/100

=$9

therefore sale price of an item is $9.

Answer:

[tex](x-1)^2 + (y-1)^2 = 10[/tex]

Step-by-step explanation:

From the graph ,

Centre of the circle is (1, 1)

To find radius we find a point through which the circle passes and find the distance between the Centre and the point.

Let that point be (4, 0)

[tex]radius = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2} = \sqrt{(1-4)^2 + (1-0)^2} = \sqrt{10}[/tex]

Equation of the circle :

[tex](x - a)^2 + (y-b)^2 = r^2 \ , \ where \ (a,b)\ is\ the\ centre\ of\ the\ circle\ and\ r\ is\ the\ radius\\\\(x-1)^2 + (y-1)^2 = 10[/tex]

Answer:

n=-2,A

Step-by-step explanation:

15-3n=21

-3n=21-15

-3n=6

n=6/-3

=-2

Answer:

Domain : (-∞, ∞)

Step-by-step explanation:

Domain of a function is a set of x-values of the function.

Therefore, all x-values at which the given function is defined will be the domain of the function.

From the graph attached,

Given function is defined for all x-values.

Domain : Set of all real numbers.

Or Domain : (-∞, ∞)

Answer:

3,375mm^3

Step-by-step explanation:

To find the volume, you do the length times the width times the height. Since this is a cube, the length, width, and height are all 15 mm. Multiply 15 times 15 times 15 to get 3375. The answer is 3375 cubic inches or 3375mm^3

Answer:

24/100

Step-by-step explanation:

Answer:

-1 ≤ y ≤ 0

Step-by-step explanation:

here, we simply want to know the range of values for sin x over the given interval

The range of values for sin x are simply the values in which y will take over the given interval of x

let’s start with the value sine (-pi)

We have this as;

0

And the value of sin (0) = 0

Recall, between -pi and 0, we have (-pi/2)

so sin (-pi/2) = -1

Thus, we have the correct range of values as;

-1 ≤ y ≤ 0

Answer:

$28.00

Step-by-step explanation:

1. The markup is 40% of the $20 cost, so the markup is:

(0.40)(20) = 8

2. Then the selling price, being the cost plus markup, is:

20 + 8 = 28

3. The CD set sold for $28.00

Step-by-step explanation:

sp=(100+p)% of cp

=100+40/100*20

=140/100*20

=28