A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.

Step-by-step explanation:

tangent = opposite / hypothenus

tan C = ED / DC

tan C = 28 / 53

Answer:

I just go it wrong, it's 28/45

Step-by-step explanation:

Answer:

5%

.35x = 2800

x = 8000

p(160,000)=8000

p=.05 = 5%

Step-by-step explanation:

Answer:

Added

Step-by-step explanation:

For example, take the arithmetic sequence of 3, 5, 7, 9...

Here, the number that gets us from the first number to the second (from 3 to 5), is 2. Meaning, we need to add 2 to 3 in order to get 5. I believe that makes "addition" or "added" the answer. Please let me know if I misunderstood and I will change my answer! Thank you!

Answer:

added or subtracted

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First isolate x So the equation would look like

x^2=y+11

then square root the whole thing to get

x= plus or minus the square root of y-11

Answer:

Slope is 1/3

Y intercept is -4

Answer:

x = 3

Step-by-step explanation:

2(5x - 3) = 24

Divide both sides by 2.

5x - 3 = 12

Add 3 to both sides.

5x = 15

Divide both sides by 5.

x = 3

Answer:

35 2/3 dollars per hour

Step-by-step explanation:

The unit rate in dollars per hour is 6.8 dollars per hour.

To find the unit rate in dollars per hour, we need to divide the amount earned by the time taken.

The person earns 17/5 dollars in 1/2 hours. To calculate the unit rate in dollars per hour, we divide the amount earned (17/5 dollars) by the time taken (1/2 hours):

Unit rate = (Amount earned) / (Time taken) = (17/5 dollars) / (1/2 hours)

To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction:

Unit rate = (17/5 dollars) x (2/1 hours)

Simplifying the expression:

Unit rate = (17 x 2) / (5 x 1) = 34/5 = 6.8

Therefore, the unit rate in dollars per hour is 6.8 dollars per hour.

To know more about an expression follow

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Answer:

From top to bottom;

1,1,3,3

Step-by-step explanation:

mathematically, for an even function;

f(x) = f(-x)

what this mean is that;

f(-1) = f(1)

f(-3) = f(3)

f(-5) = f(5)

f(-6) = f(6)

so we have it that;

f(-1) = 1

f(-3) = 1

f(-5) = 3

f(-7) = 3

it may be 12...........

Answer:

B) RS=5

Step-by-step explanation:

(2x-6)+(1)+(x-4)=18

2x-6+1+x-4=18

3x-9=18

3x=18+9

3x=27

x=9

Find RS

x-4

9-4

=5

Answer:

5.6 days

Step-by-step explanation:

We are given;

Initial Mass; N_o = 25 g

Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)

k = 0.1229

Formula is given as;

N_t = N_o•e^(-kt)

Plugging in the relevant values;

12.5 = 25 × e^(-0.1229t)

e^(-0.1229t) = 12.5/25

e^(-0.1229t) = 0.5

(-0.1229t) = In 0.5

-0.1229t = -0.6931

t = -0.6931/-0.1229

t = 5.6 days

Answer:

C

Step-by-step explanation:

h(8) is given so D can't be true and A and B do not follow the domain and range restrictions

Answer:

3km/h

Step-by-step explanation:

total distance ÷ total time = average speed

6 ÷ 2 = 3

Answer:

first one

Step-by-step explanation:

Answer:

opo

Step-by-step explanation:

kung Hindi kayo sure sa sagot ko sorry po

Answer:

answer

Step-by-step explanation:

h+2 ≥ 10

h ≥ 10 - 2

h ≥ 8

Answer:

[tex] \blue{b = \dfrac{2A}{h}} [/tex]

Step-by-step explanation:

[tex] A = \dfrac{1}{2}bh [/tex]

Step 1. Switch sides.

[tex] \dfrac{1}{2}bh = A [/tex]

Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.

[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]

[tex] bh = 2A [/tex]

Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.

[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]

Answer:

[tex] b = \dfrac{2A}{h} [/tex]

Answer:

The answer is 12 %R

Step-by-step explanation:

Answer:

[tex]\text{C. }\cos R=21/29[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

From the diagram, we know:

Therefore, the cosine of angle R must be [tex]\boxed{\frac{21}{29}}[/tex]

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle.

Answer:

Inside

Step-by-step explanation:

Check the picture below

Comolete question is;

One national survey found that 86 percent of those who were unhappily married but who stayed with the marriage were, when re-interviewed five years later,

A) preparing to divorce

B) resigned to the situation

C) mostly "very" or "quite" happy

D) mostly "very" happy

Answer:

C) mostly "very" or "quite" happy

Step-by-step explanation:

From social psychology, we know that;

Sometimes people could be happy about something but later on as things progress they become satisfied and are happy about that same thing or person.

The same is the case here with marriage and more importantly in this research.

It says they were unhappily married but they stayed in the marriage and were interviewed 5 years after that. Thus, for them to stay that long even after being unhappy, it means that they began to become a bit happy along the line.

Thus, they would gradually become happy or mostly happy.

Answer:

1.25% and 16 times

Step-by-step explanation:

Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.

Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.

Answer:

1.25% and 16 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equations

x + y = 29

x^2 + y^2 = 425

Solution

y = 29 - x

x^2 + (29 - x)^2 = 425

x^2 + (841 - 58x + x^2 ) = 425

x^2 - 58x + x^2 + 841 - 425 = 0

2x^2 - 58x +416 = 0

a = 2

b = - 58

c = 416

You get two answers that look valid

2x^2 - 58x + 416 = 0

x^2 - 29x + 208 = 0           This factors

(x - 16)(x - 13) = 0

x = 16

y = 13

Now check it

16^2 + 13^2 = ? 425

256 + 169 =  425

The square root of 256 = X^2

X ^2 = X x X

A) 16 x 16 = 256

The answer is a) 16

Answer:

A. ) 16

Step-by-step explanation:

[tex] \small \sf \: \sqrt{256} [/tex]

Write 256 in the exponential form with the base of 16

[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]

Reduce the index of the radical and exponent with 2

16

Answer:

2.32*10^-10

Step-by-step explanation:

n will change its position with 32

(1/2)^32=n

n=2.32*10^-10

Answer:

5⁷

Step-by-step explanation:

5³×5⁴

when bases are same powers are added

so..

5(³+⁴)

5⁷

Answer:

5^7

Step-by-step explanation:

Think of it like x^3 * x^4. Since when two variables with exponents are multiplied, the exponents are added, you get x^7. (But just use 5 instead of x.)

You can also check by seeing the result of 5^3*5^4 is 78,125 and 5^7 is also 78,125. Hope that helps!

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

( 1 , 2 )

Step-by-step explanation:

x + 4y = 9

x = 9 - 4y .... ( 1)

2x - 4y = -6 ...( 2)

substitute the 9 - 4y as x in the second equation

2( 9 - 4y ) - 4y = -6

distribute 2

18 - 8y - 4y = -6

combine like terms

18 - 12y = -6

Subtract 18 from both sides

18 - 18 - 12y = -6 - 18

- 12y = - 24

divide both sides by -12

-12y / -12 = -24/-12

y = 2

Now , substitute the 2 as y in the second equation

2x - 4y = -6

2x - 4 ( 2 ) = -6

2x - 8 = -6

add 8 to both sides

2x - 8 + 8 = -6 + 8

2x = 2

divide both sides by 2

2x / 2 = 2/2

x = 1.

Answer:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

The given function representing the archway is y = -x² + 5·x + 24

1) Please find attached the required drawing of the archway created with MS Excel

2) The y-intercept is given by the point where x = 0

Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24

The y-intercept = (0, 24)

The x-intercept is given by the point where y = 0

Therefore, the x-values at the x-intercept are found using the following equation;

0 = -x² + 5·x + 24

x² - 5·x - 24 = 0

By inspection, we have;

x² - 8·x + 3·x - 24 = 0

x·(x - 8) + 3·(x - 8) = 0

∴ (x + 3) × (x - 8) = 0

Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8

Therefore, the x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base = The distance between the x-values at the two x-intercepts

∴ The width of the archway at its base = 8 - (-3) = 11

The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)

∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5

Therefore;

The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point

∴ The height of the archway at its highest point = 30.25.