Brian has reduced his cholesterol level by 11% after his last check up. If his original level was 260, what is his approximate cholesterol level now

Answer:

9.2 cm and 15% increase

Step-by-step explanation:

1.15*8 = 9.2

percentage increase

new square = 9.2*9.2 =84.64

old area=8*9.2 = 73.6

percentange increase = (84.64-73.6)/73.6 = 15%

Increase the width

As sides of square are equal

Area increases same as length i.e 15%

Answer:

28

70

280

Step-by-step explanation:

Answer:

w = 5.5 assuming that w is the missing width of the rectangle.

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{14-8}{7-10}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{-6}{-3}[/tex]

[tex]\\ \rm\rightarrowtail m=2[/tex]

Answer:

The line passes through the given points are ( 10,8) & (7,14)

here

x₁ = 10

y₁ = 8

x₂ = 7

y₂ = 14

We have been asked to slope of that line which passes through the given points .

Using Formulae

❍[tex] \bf \: m \: = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Put the given value we obtain

[tex] \sf \dashrightarrow \: m \: = \dfrac{14 - 8}{7 - 10} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{6}{ - 3} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{ - 2}{1} \\ \\ \sf \dashrightarrow \: m \: = - 2[/tex]

So, the slope of that line is -2 .

Answer:

512

Step-by-step explanation:

64^2=4096

4096/8=512

Answer:

  156 °F

Step-by-step explanation:

Newton's Law of Heating results in the exponential function you show in your problem statement. We can use the given starting and "in-progress" temperatures and times to solve for the value of the factor "k" in the exponential function.

  [tex]T(t)=T_\infty+(T_0-T_\infty)e^{-kt}\\\\T(2.5)=123=305+(72-305)e^{-k\cdot2.5}\qquad\text{substitute given temps and times}\\\\\dfrac{123-305}{72-305}=e^{-2.5k}=\dfrac{182}{233}\qquad\text{subtract 305, divide by $(72-305)$}\\\\k=\dfrac{-1}{2.5}\ln\dfrac{182}{233}\approx0.0988127\approx0.099\qquad\text{rounded to 3 places}[/tex]

Then the temperature after 4.5 hours is ...

  T(4.5) = 305 -233e^(-0.099·4.5) ≈ 156 . . . . °F

_____

Additional comment

It will take about 6.3 hours for the turkey temperature to reach 180 °F.

Answer:

A

Step-by-step explanation:

That's how much remains in the pitcher

Answer: 6

Step-by-step explanation: 4 1/3 + 1 2/3 = 5 3/3

3/3 = 1

5+1 = 6

Answer:

53/30 or.... 1 whole number 23/30

Answer:

50/30

Step-by-step explanation:

2/3 + 1/2 + 3/5

20 + 15 + 18/ 30

= 50/30

Answer:

ill say the answer is 76849302

Step-by-stepStep-by-step explanation:

because 18 over 1/3 ad 3 over 1/3 is 76849302 . Hopefully this helped

Answer:

No

Step-by-step explanation:

Because

14.99 + 1.50 = 16.49

16.49 + 6% = 17.4794

17.4794 + 20% = 20.97528

Now if you round 20.97528

It becomes 20.98

I hope this is correct!

Please mark me Brainliest!

Answer:

1/2 or 6/12

Step-by-step explanation:

To get the area of the crate's top, multiply the length and width together. Should not multiply the height by anything because it simply measures the height of the box and not the length or breadth of any of its bases (the top and bottom of the box). When you multiply the length by 3/4 and the breadth by 2/3, you should obtain 6/12, or 1/2 yard squared, as your answer for the area of the crate's top.

Answer:

A = 15 units²

Step-by-step explanation:

The figure has 1 pair of parallel sides and is therefore a trapezium.

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height between bases and b₁, b₂ are bases

here h = 3, b₁ = 3 , b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²

The area of the square is the square of one of its sides. The area of the plate is 15 units².

The area of the square is the square of one of its sides.

[tex]\text{Area of square} = a^2[/tex]

The area of a triangle is half the product of its base and height.

[tex]\rm\text{Area of Triangle} = \dfrac{1}{2} \times Base \times Height[/tex]

The shape of the plate can be divided into two parts a square of side 3 cm and a triangle with of base 4 cm and a height of 3 cm, therefore, the area of the plate is,

[tex]\text{The area of the shape} = \text{Area of the triangle} + \text{Area of the square}[/tex]

                                 [tex]= (\dfrac{1}{2} \times 4 \times 3) + (3 \times 3)\\\\= 6 + 9\\\\=15\rm\ units^2[/tex]

Hence, the area of the plate is 15 units².

Learn more about Area of Square:

https://brainly.com/question/1658516

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Functions

Calculus

Differentiation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

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Learn more about derivatives: https://brainly.com/question/17830594

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

Unit: Differentiation

Answer:

<30

Step-by-step explanation:

5*10=50

50-20=30

Please mark me brainlest

This is how to solve it.

Hope this helps

Answer:

128°

Explanation:

total sum of interior angle in triangle is 180°

Find the missing angle inside the triangle:

180° - 38° - 90°

52°

∵ a straight line always has 180°

Now find for missing exterior angle:

x° + 52° = 180°

x° = 180° - 52°

x° = 128°

Answer:

128 degrees

Step-by-step explanation:

180-52= 128

so your answer is 128 degrees.

Answer:

120

Step-by-step explanation:

12 x 10 = 120

Recall that if |x| < 1, then

[tex]\displaystyle \frac1{1-x} = \sum_{k=0}^\infty x^k[/tex]

So if |a + bxᵐ| < 1, then

[tex]\displaystyle \frac{a+bx^m}{1 - (a+bx^m)} = \sum_{q=1}^\infty (a+bx^m)^q = \sum_{q=1}^\infty a^q \left(1 + \frac{bx^m}a\right)^q[/tex]

By the binomial theorem,

[tex]\displaystyle \left(1 + \frac{bx^m}a\right)^q = \sum_{r=0}^q \binom qr \left(\frac{bx^m}a\right)^r[/tex]

The binomial coefficient is defined as

[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]

if 0 ≤ k ≤ n, and 0 otherwise. Then we can rewrite the sum as

[tex]\displaystyle \left(1 + \frac{bx^m}a\right)^q = \sum_{r=0}^\infty \binom qr \left(\frac{bx^m}a\right)^r[/tex]

and pulling out the first term,

[tex]\displaystyle \left(1 + \frac{bx^m}a\right)^q = 1 + \sum_{r=1}^\infty \binom qr \left(\frac{bx^m}a\right)^r[/tex]

Finally,

[tex]\dbinom qr = \dfrac{q!}{r! (q-r)!} \\\\\\ = \dfrac{q(q-1)(q-2)\cdots(q-(r-1))(q-r)(q-(r+1))\cdots3\cdot2\cdot1}{r! (q-r) (q-(r+1)) (q-(r+2))\cdots3\cdot2\cdot1} \\\\\\ = \dfrac{q(q-1)(q-2)\cdots(q-(r-1))}{r!} \\\\ = \dfrac{\prod\limits_{i=0}^{r-1}(q-i)}{\Gamma(r+1)}[/tex]

since n! = Γ(n + 1). (I think the given upper limit in the product may be a mistake.)

The result of this operation is 1

Data;

To solve this problem, we are asked to divide the fraction. Whenever two fractions are given and the operation required is division, it is best to take the inverse of one of the fraction and then multiply it by the other fraction.

[tex]\frac{21}{58} / \frac{3}{8}[/tex]

This can become

[tex]\frac{21}{56} * \frac{8}{3} = \frac{7}{7} = 1[/tex]

This shows that dividing the two fractions will give us 1.

Learn more on division of fractions here;

https://brainly.com/question/1622425

https://brainly.com/question/18925320

Answer:

≈$3478.4

Step-by-step explanation:

Using the compound interest formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

A = Total

P = Principle
r = Interest Rate

n = No. of times applied in each time period

t = No. of periods

In this case,

P = 3400

r = 1.14% = 0.0114

n = 12 (months)

t = 2 (years)

Hence,

[tex]A = 3400(1+\frac{0.0115}{12})^{12*2}[/tex]

[tex]A = 3478.372836......[/tex]

A ≈ 3478.4 (nearest cent)

Answer:

a)ab=-6×+4=-24

b)a÷d=-6÷-2=3

c)2bd=2×+4×-2=-16

Step-by-step explanation:

Put the values according to the question

Hope it help you

Answer:Blue

Step-by-step explanation:

Answer: C

Step-by-step explanation:

We know the scale factor is 6/2=3.

A) False. The ratio of the side lengths, not the areas, is 1 to 3.

B) False. Rectangle B is larger than Rectangle A.

C) The square of the ratio of the side lengths is the ratio of the areas.

D) False. The ratio of the side lengths, not the areas, is 1 to 3.

To make this simpler, we know that [tex]0.15=\frac{15}{100}[/tex], so

   12 times [tex]\frac{15}{100}[/tex] = [tex]12 * \frac{15}{100} =\frac{180}{100} = 1.8[/tex]

Hope that helped!

Answer:

12×0.15

=1.8

I think it will help you.

The slope is 3/2.

We take any two points, I took (-14,3) and (-12,6) for solving for the formula when finding slope.

The formula is Rise/Run or Change in Y/ Change in X.

y2-y1/x2-x1

6-3/-12-(-14)

= 3/2

Slope is 3/2

Answer:

244

Step-by-step explanation:

I assume this asks  90+90+64 = ?

So, you can put it all in a calculator and get 244

If you have any questions or I have interpretated the question wrong, feel free to comment! :D

Answer:

0.71 > 0.6

Step-by-step explanation:

Here, 0.71 has 7 tenths while 0.6 has 6 tenths, so 0.71 must be greater than 0.6