Hailey is 4 more than twice her son Silas's age and 2 years younger than her brother Mark. Which equation shows Silas's age, S, in terms of Mark's age, M?
OS 2+2M
OS-6+4M
os-
OS-

Answer:

Solution:

o -3.5

As number is negative so sign bit notation is 1.

o First convert 3.5 into binary Binary of 3.5 is 011.1

Mantissa field:

0111

radix in .0111 must be moved 3 bit to the right to obtain

011.1

So exponent is positive 3…

Final 8 bit floating point notation is

1

1

1

1

0

1

1

1

Step-by-step explanation:

The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).

Given the function in the question:

h(r) = r² + 11r - 26

To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.

Using factoring:

r² + 11r - 26 = 0

Find two numbers whose sum is 11 and whose product is -26.

The numbers are -2 and 13.

Factor the equation:

(r - 2)(r + 13) = 0

Hence:

r - 2 = 0  and r + 13 = 0

Therefore, smaller r = -13, larger r = 2.

Next, we determine the vertex of the function:

Using the formula for the x-coordinate of the vertex, which is given -b/2a.

Here, the coefficient of r² is 1 (a = 1),

The coefficient of r is 11 (b = 11).

Substituting these values into the formula, we get:

r = -b/2a

= -11/( 2×1 )

= -11/2

The x-coordinate of the vertex is -11/2.

To find the y-coordinate, we can substitute r = -11/2 value back into the function:

h(r) = r² + 11r - 26

h(-11/2) = (-11/2)² + 11(-11/2) - 26

= 121/4 - 121/2 - 26

= 121/4 - 242/4 - 104/4

= (121 - 242 - 104)/4

= -225/4

Therefore, the vertex is (-11/2, -225/4).

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Answer:

The black car

Step-by-step explanation:

First, we need to fin the mile to gallon ratio.

To get this we would divide the number of miles by the gallon for each car

Green Car:

18.4/0.8

23 miles per gallon

Black car:

17.4/0.75

23.2 miles per gallon

In conclusion, The black car would travel further on one gallon of gas than the green car would.

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

Answer:

No, there is no enough flour for each of his friends to get a cupcake

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2 dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2  × 12

∴ The number of cupcakes can the recipe make = 30 cupcakes

∵ The recipe calls for 3 cups of flour

→ That means 3 cups of flour can make 30 cupcakes

∴ 3 cups of flour makes 30 cupcakes

∵ Anthony’s mother has only 1 cup of flour

→ By using the ratio method

→  flour  :  cupcake

→  3      :  30

→   1       :   x

→ By using cross multiplication

∵ 3 × x = 1 × 30

∴ 3 x = 30

→ Divide both sides by 3

∴ x = 9

∵ x represents the number of cupcakes  

∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour

∵ Anthony has 12 friends at his daycare

∵ The number of the cupcakes = 9

∴ The number of cupcakes is not enough for each of his friends to

  get a cupcake

Step-by-step explanation:

Answer:

Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes

Step-by-step explanation:

Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.

Answer: x + y = 0

Answer:

56

Complementary means 90

Subtract 34 from 90

90-34 = 56

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]

or

[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]

[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]

Answer:

3/6

Step-by-step explanation:

Answer:

3/6 é a resposta tabom me de coraçãozinho

Answer:

c.19 = 13 + 5

Step-by-step explanation:

Answer:

1: x =(16-√392)/2=8-7√ 2 = -1.899

2: x =(16+√392)/2=8+7√ 2 = 17.899

Step-by-step explanation: I found two solutions it’s either one or two.

I hope this helped :) I tried my best.

The sum of the remote interior angles are equal to the exterior angles.

The completed statements are;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Reasons:

Remote interior angles are the angles that are not on the same vertex as an exterior angle

The remote interior angles of ∠4 are ∠1 and ∠5

Similarly, we have;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

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Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

Answer:

Choice B) experimental probability is larger

Step-by-step explanation:

There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5

When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65

Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.

Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.

Answer:

1: greater than

2: 0.5

3: 59%

Step-by-step explanation:

I took the test and here is da proof:

{I left it blank on purpose so other can see the right answer (: }

Answer:

1) 1:2          2) 3

3) 1:8         4) 2:7

5) 1:4         6) 3:7

7) 2:5         8) 3:11

9) 2:7         10) 4:7

11) 8:9        12) 7:11

13) 1:2        14) 3

15) 26:27   16) 1:40

17) 1:10       18) 1:100

19) 1000    20) 10

Step-by-step explanation:

Answer:

[tex]2916^3\\[/tex]

Step-by-step explanation:

As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]

But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]

And the radius is 9 half of Diameter

We would write it like this

=  [tex]\frac{4}{3}3\cdot 9^3[/tex]

Then when we solve it would become [tex]2916^3\\[/tex]

I hope this helps :)

Step-by-step explanation:

Lets assume that x=0

Therefore- 2×0-y= -3

                0 - y =-3

Therefore y = -3

Then lets take now the before equation

2x - 3= -3

2x = -3+3

2x=0

x=0÷2

∴ x= 0

Answer is- 0,-3

See image

You have to change the equation so it's in the form y=mx+b.

b is the y-intercept and it is a good starting point and m is the slope and it tells you directions to the next point (also how steep or flat and if it's going up or down) See image

Step-by-step explanation:

I hope this helps out bye.

Answer:

what are the measurements for 1 and 2?

Step-by-step explanation:

George Washington

Answer:

61

Step-by-step explanation:

he read first 74 and need to

= 74-30

=44

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

Answer:

x intercept - (-2,0)

y intercept (0,5)

Step-by-step explanation:

I hope this helps!

Answer:

1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

6 minutes          x minutes

----------------  = ------------------

18 miles                  1 mile

Using cross products

6 * 1 = 18 x

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 = x

1/3 minutes

Answer:

D) f(3) = 54

Step-by-step explanation:

f(3) = 2 x 3^3

f(3) = 2 x 27

f(3) = 54

Hope this helps! Pls give brainliest!

Answer:

D

Step-by-step explanation:

first you need to do the exponent and you substitute the 3 in for ex

so 3^3=27

then you multiply it by 2 to get 54

Answer:

3+2i, 3-2i

Step-by-step explanation:

no rational solutions

if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2

Hey there!

“Product” is multiplication so let’s say it means “multiply” & “difference” is subtraction so let’s say it means “subtract”

p & q is/are the variables, whereas -12 is a coefficient

“The [PRODUCT of -12] and the [DIFFERENCE of p & q]”

Product = multiply/multiplication

“-12 ×”

DIFFERENCE

“p - q”

So, based on that information we have your answer: “-12 × p - q”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Based on the information given, it can be deduced that the annual interest rate will be 8.5%.

Principal = 5000

Interest = 5425 - 5000 = 425

Time = 1 year

Rate = Unknown.

Simple Interest = PRT / 100

425 = (5000 × R × 1)/100

42500 = 5000R.

R = 42500/5000

R = 8.5%

In conclusion, the correct option is 8.5%.

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