If ZBAC is a right angle and
m_BAD = 30°, then m DAC = [?]°.

Answer:

[tex]14^{14}[/tex] or 11112006825558016

Step-by-step explanation:

[tex]\frac{14^{15}}{14}[/tex] is the same thing as [tex]\frac{14^{15}}{14^{1}}[/tex].

When we divide 2 exponents together, we subtract:

15 - 1 = 14

[tex]14^{14}[/tex] or 11112006825558016 is your answer.

Answer:

Option A

Step-by-step explanation:

Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;

[tex]3x - 5 = 4 + 8x[/tex]

where x = " the number "

[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]

If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.

Answer:

n = 2

Step-by-step explanation:

1/2(n-4) - 3=3- (2n+3)

Expand the brackets.

1/2n-2-3=3-2n-3

Add or subtract the like terms.

1/2n-5=-2n

Add 2n and 5 on both sides.

1/2n+2n=5

Add like terms.

5/2n = 5

Multiply both sides by 2/5.

n = 5 × 2/5

n = 10/5

n = 2

Answer:

N=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

If R, A, and P all share 108 pounds in the ratio of 2 to 3 to 1, then

2x + 3x + 1x = 108 and

6x = 108 so

x = 18.

R holds the ratio of 2x, so he gets 2(18) which is 36;

A holds the ratio of 3x, so he gets 3(18) which is 54;

P holds the ratio of 1x, so he gets 1(18) which is 18.

36 + 54 + 18 better equal 108...and it does!

Answer:

y = (x + 3)² - 4

The vertex is a minimum at (-3, -4)

Step-by-step explanation:

Step 1: Isolate xs

y - 5 = x² + 6x

Step 2: Complete the square

y - 5 + 9 = x² + 6x + 9

y + 4 = (x + 3)²

Step 3: Convert to vertex form

y = (x + 3)² - 4

To find your vertex, (h, k) is your vertex, so (-3, -4). To see whether or not it is a max or a min, check a to see if it is positive or negative. Since a is positive, it is a minimum.

Answer:

f(3) =g(3)

Step-by-step explanation:

We want where the two functions are equal

f(x) = g(x) when f(3) =g(3)

Their y values are the same at that point

Answer:

B. f(3)=g(3)

Step-by-step explanation:

Answer:

RT

Step-by-step explanation:

The diameter goes from one side of the circle to the other side passing through the center

The only diameter given is RT

Answer:

Step-by-step explanation:

Experimental probability is the probability of what actually happens in the given experiment.

We know that a fair six-sided cube is rolled 60 times and the outcome 2 has occurred 15 times out of 60 times.

Therefore, the experiment probability in the given experiment is:

Experimental probability of rolling 2  

[tex]\frac{15}{60}=\frac{1}{4}[/tex]

Now, the theoretical probability is the probability of what is expected from the random experiment. We know that a cube has 6 sides and the theoretical probability of getting 2 is given below:

Theoretical probability of rolling a 2    

[tex]\frac{1}{6}[/tex]

Therefore, the answer is:

The experimental probability of rolling a 2 is [tex]\frac{1}{4}[/tex] and the theoretical probability of rolling a 2 is [tex]\frac{1}{6}[/tex].

Answer:

The experimental probability of rolling a 2 is 1/4 and the theoretical probability of rolling a 2 is 1/6.

Step-by-step explanation:

Answer: 58°

Step-by-step explanation:

They say the triangles are equal. And they give us more information for the triangle on the right.

∠E = ∠B

We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)

74 + 48 + ∠E = 180

122 + ∠E = 180

∠E = 58

So therefore ∠B = 58

Answer:

x = 29

Step-by-step explanation:

Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.

All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.

Because the triangles are congruent, ∠E corresponds to ∠B.

Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.

I hope this helps!!

Step-by-step explanation:

Radius is same in both cones....

Slant height of lower cone = 50 cm ( by applying Pythagorean theorem )

TSA of the lower cone = 22/7 × 14 × ( 14 + 50 )

= 2816 cm^2

Total height of the solid = 52.8 cm

Height of the upper cone = 52.8 - 48 = 4.8 cm

TSA of the upper cone = 22/7 × 14 × ( 14 + 4.8 )

= 827..2 cm^2

TSA of the solid = 2816 + 827.2 = 3643.2 cm^2

Answer:

$2466.55

Step-by-step explanation:

We use the formula for Compound Amount, the amount gotten after a particular time, to find the balance:

[tex]A = P(1 + r)^t[/tex]

where P = Principal = $700

r = rate = 6.5% = 0.065

t = time elapsed 20 years

Therefore:

[tex]A = 700(1 + 0.065)^{20}\\\\A = 700(1.065)^{20}\\[/tex]

A = $2466.55

The balance of the account will be $2466.55

Answer:

-3x^2-21x+24

Step-by-step explanation:

Kindly separate the answer choices:  (x - 4), (x + 1), (x + 4) , (x - 1).  The trinomial is thus -3x^2-21x+24, which can be factored as follows:  -3(x^2 + 7x - 8)

Then we have -3x^2-21x+24 = -3(x^2 + 7x - 8), which factors further into:

-3(x + 8)(x -1)  and so we conclude that the only binomial that is a factor of

-3x^2-21x+24 is (x - 1).

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

Answer:

i'm sorry but the answer is 1.152

Answer:

[tex]1.152[/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]

hope this helps you.

Answer:

Step-by-step explanation:

Answer: The answer is provided below

Step-by-step explanation:

A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.

The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:

= 60% of $30.65

= 60/100 × $30.65

= 0.6 × $30.65

= $18.39

The new selling price = $30.65 - $18.39

= $12.26

The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.

Hi,

-6x + 14 < -28

-6x + 14 - 14 < -28 - 14

-6x < -42

-6x/-6 > -42/-6

x > 7

S = [ +infinity ; 7 ]

3x + 28 < 25

3x + 28 - 28 < 25 - 28

3x < -3

3x/3 < -3/3

x < -1

S = ] -infinity ; -1 [

Answer:

its no solution  

Step-by-step explanation:

Answer: 16 + 55 = 71cm^2

Step-by-step explanation:

You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.

First One:

It has the dimensions of 5 and 11. 5 x 11 = 55cm^2

Second One:

This one wont be straightforward like the first one. You need to find these sides manually.

7 + x = 11

x = 4

Then,

9 - x = 5

x = 4

4 x 4 = 16cm^2

Answer:

Step-by-step explanation:

Negative Radicand

The roots of the equation are imaginary because of negative radicand.

An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.

According to the given question.

We have to take square root both sides of the equation.

Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.

Hence, the roots of the equation are imaginary because of negative radicand.

Thus, option 1 is correct.

Find out more information about imaginary roots here:

https://brainly.com/question/12436700

#SPJ3

Answer:

True

Step-by-step explanation:

order of letter matter. R and T first and last letters of triangle. H and F also first and last. so can say those sides are proportional.

Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]

Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]

[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]

[tex]\sigma^2=\frac{7610}{11}[/tex]

[tex]\sigma^2=691.81[/tex]

Hence the variance rounded to the nearest tenth is 691.8

Answer:

x < 11

Step-by-step explanation:

5(x + 4) < 75

5x + 20 < 75

5x < 55

x < 11

Answer:

x<11

Step-by-step explanation:

5(x+4)<75

Expand the brackets.

5x+20<75

Subtract 20 on both sides.

5x+20-20<75-20

5x<55

Divide 5 into both sides.

5x/5<55/5

x<11

Answer:

Step-by-step explanation:

We have,

Mean = Σx/n

or 12= (m+n+s+p+q)/5

or, m+n+s+p+q = 60 ...........(i)

Again,

New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]

or, New Mean = {(m+n+s+p+q)+13}/5

or, New Mean = (60+13)/5 = 73/5 [from eq (i)]

∴ New Mean = 14.6 Ans.

Answer:

ΔMNP ~ ΔWXY

Step-by-step explanation:

When a triangle is dilated, the orientation stays the same. This means that the triangles are named in the same order because their corresponding angles are congruent.

∠M ≅ ∠W

∠N ≅ ∠X

∠P ≅ ∠Y

I hope this helps :))

Answer:

½ ln 3

Step-by-step explanation:

∫ sec²x / tan x dx

If u = tan x, then du = sec²x dx.

∫ du / u

ln|u| + C

ln|tan x| + C

Evaluate between π/4 and π/3.

ln|tan(π/3)| + C − (ln|tan(π/4)| + C)

ln|√3| + C − ln|1| − C

ln(√3)

½ ln 3

Answer:

b)

Step-by-step explanation:

the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions

Answer:

isosceles

Step-by-step explanation:

Answer:

c on egde

Step-by-step explanation:

The distance between the man and the starting point will be 13.08 km.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that a man walks due west for 4km. He then changes direction and walks on a bearing of 197°.

The distance will be calculated as,

tanΘ = P/B

tan(73) = y / 4

y = 4tan73

y = 13.08 km

Therefore, the distance between the man and the starting point will be 13.08 km.

To know more about trigonometric identities follow

https://brainly.com/question/23585318

#SPJ5

Answer:

Dependent quantity: 3.5, 10.5, 7, 14, 17.5 and distance travelled

Independent quantity: 1,2,3,4,5 and time spent jogging.

Neither: m=3.5h

See explanation below

Question:

A question related to this can be found on brainly (ID 9524195).

Step-by-step explanation:

For an equation, let's consider a linear equation: y = mx+ c

The dependent quantity is y. This is because the value of y depends on the independent quantity (x), the slope(m) and the intercept (c)

The independent quantity is x as it's value doesn't depend on other variables.

We are to identify dependent quantity, independent quantity and a quantity that does fall under the two (that is neither).

Rate = distance travelled/time

Let d = distance travelled in miles

t = time in hours

R = d/t

d = Rt

Here, d is the dependent quantity and t is the independent quantity.

m = 3.5h is an equation and not a quantity. It can't be categorised under any of the two.

Therefore distance travelled and values under it are dependent quantity, time spent on jogging and values under it are independent quantity while the expression m= 3.5h is neither a dependent or independent quantity

Find attached the table and the workings.

I D K if we got the same quetiton but heres an answer

Answer: x=6

Step-by-step explanation:

[tex]5x+15=45[/tex]

subtract 15 on both sides

[tex]5x=30[/tex]

divide 5 on both sides

[tex]\frac{30}{5} =6[/tex]

[tex]x=6[/tex]

Your answer will be x=6

All you have to do is take 15 away from both sides. And you will get the answer of 30. Then you devide 5 on both sides and you will get your answer of x=6.