find the value of cos 75°​

Step-by-step explanation:

4a) The pressure of a basketball can have a large tolerance.

b) Writing an exam has a very low tolerance in terms of time allotment.

c) The amount of milk in a carton has a low tolerance.

Answer:

24

Step-by-step explanation:

6 sides on die

2 sides on each coin

6 x 2 x 2 = 24

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

Answer:

I think it's A

Step-by-step explanation:

wbbBzbzbzsjsbzbx

Answer:

I'm pretty sure it's 30 but I'm not 100% sure.

Answer:

30%

Step-by-step explanation:

70+30=100!

Answer:

400%

Step-by-step explanation:

the question is asking what percent of 50 is 200

we can set up this proportion to find 'x' (the original price)

200/50 = x/100

cross-multiply to get:

50x = 20,000

x = 400%

Answer:

-2/5

Step-by-step explanation:

The slope will be same , that is -2/5 .

Answer:

3rd option

Step-by-step explanation:

([tex]\frac{f}{g}[/tex] )(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator

= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator

= [tex]\frac{x-3}{x+2}[/tex]

Answer:

[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]

Step-by-step explanation:

Given

[tex]4m - 2m^4 - 6m^2 + 9[/tex]

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]

Answer:

D

Step-by-step explanation:

Answer: p(6) represents how the number of bacteria after 6 days.

Simply replace each x with 6 to go from the first sentence to the answer shown in bold above.

Answer:

Volume 25cm³

Pyramid height 3cm

Base area  25cm

Explanation:

V = A h/3 = 25·3/3 =

25cm³

Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

Answer:

a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.

Answer:

a=146°

Step-by-step explanation:

a+34 =180 degree (being linear pair

a=180-34

a=146 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

k=6

Step-by-step explanation:

For a piecewise function to be continuous, the left-side and right-side limits must be equal to each other. Therefore, the left-side limit of f(x) is 8 because the derivative of 2x^2 is 4x, and then directly substituting x=2 gives us 4(2)=8. Therefore, the right-side limit must also equal 8. Therefore, k must be 6 because 2+6=8.

Answer:

[tex]\displaystyle k = 6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Calculus

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

[tex]\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.[/tex]

Step 2: Solve for k

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

Answer:

A, E, F

Step-by-step explanation:

With this question, it's mostly just trial and error.

[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.

[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.

[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.

[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.

[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.

[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.

Therefore, A, E and F are true.

**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!

Answer:

Inequality: 12c + 35 ≥ 100

Minimum number of classes per customer: 6

Step-by-step explanation:

12c + 35 ≥ 100

      - 35     -35

12c ÷ (12) ≥ 65 ÷ (12)

c ≥ 5.4 (so 6)

Hope this helps good luck!

Answers:

The inequality is [tex]12C+35 \ge 100[/tex]

The minimum number of classes a customer can take is 6 classes

===========================================================

Explanation:

The expression 12C+35 represents how much a customer spends when they take C number of classes. The C is a placeholder for any positive whole number.

For instance, if they take C = 2 classes, then they spend 12*C+35 = 12*2+35 = 59 dollars.

Or if they take C = 3 classes, then they spend 12*C+35 = 12*3+35 = 71 dollars and so on.

We could try various values of C to find when 12C+35 is 100 or larger.

Or we can use algebra as shown in the next section.

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

[tex]12C+35 \ge 100\\\\12C \ge 100-35\\\\12C \ge 65\\\\C \ge \frac{65}{12}\\\\C \ge 5.4167 \ \text{ (approximate)}\\\\[/tex]

Because C is a positive whole number, we round up from 5.4167 to 6

We would not round to 5 even though 5.4167 is closer to 5 (hence the phrasing round up, instead of simple rounding).

If the customer took C = 5 classes, then they spend 12*C+35=12*5+35 = 95 dollars which is 5 short of the goal

But if they take C = 6 classes, then we're over the goal because 12*C+35 = 12*6+35 = 107. Larger values of C will result in larger total costs.

So the minimum number of classes a customer can take is 6 classes and this will allow Rebekah to reach her goal of $100 or more.

Answer:

its -3

Step-by-step explanation:

since the bases are equal then the powers are equal

[tex] {3}^{2} = {3}^{x + 5} \\ \\ 2 = x + 5 \\ x = - 3[/tex]

Answer:

I think point D is the answer.

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (6,-6) and (-2,-2)

[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{1}{2}x+b[/tex]

Plug in one of the given points and solve for b

[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]

Add 3 to both sides

[tex]-6+3=-3+b+3\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:

[tex]y=-\frac{1}{2}x-3[/tex]

I hope this helps!

Answer:

$640.25

Step-by-step explanation:

Answer:

$640.25

Step-by-step explanation:

Answer:

Pretty sure its 30

Step-by-step explanation:

Hope this helps!

Answer:

6+c

Step-by-step explanation:

sum means to add

6+c

Answer:  The percentage of operations last longer  than 138 minutes =15.87%

Step-by-step explanation:

Let x denotes the duration of routine operations in a certain hospital.

Given: The duration of routine operations has approximately a normal distribution with [tex]\mu[/tex] = 120 minutes and [tex]\sigma=[/tex] 18 minutes.

The probability that operations last longer  than 138 minutes = [tex]P(X>138)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{138-120}{18})\\\\=P(Z>1)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\\\\=1- 0.8413\\\\=0.1587[/tex]

The percentage of operations last longer  than 138 minutes =15.87%

Answer:

The height is 9 cm

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

72 = 1/2 ( 16) h

72 = 8h

Divide each side by 8

72/8 = 8h/8

9 = h

The height is 9 cm

Answer:

8 because it is a half base x height

Step-by-step explanation:

a half x 16= 8

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

Answer:

v ≈ 34.95ft^3

Step-by-step explanation:

h = 9.8ft

A^B = 10.7ft

V=A^B

h/3 = 10.7 • 9.8/3

≈34.95333ft^3

≈34.95ft^3

Answer:

If the suspect goes to prison, then he was found guilty.

Step-by-step explanation:

Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.

Answer:

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Step-by-step explanation:

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

A.

Let

x = number of packets of strawberry wafers

y = number of packets of chocolate wafers

x + y = 22

3x + y = 30

B. Solve the equation in A using elimination method

x + y = 22 (1)

3x + y = 30 (2)

subtract (1) from (2) to eliminate y

3x - x = 30 - 22

2x = 8

x = 8/2

x = 4

Substitute x = 4 into (1) to solve for y

x + y = 22 (1)

4 + y = 22

y = 22 - 4

y = 18

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets