The highest mark in the Science test was 74. Three students scored 49 which was five marks higher than the lowest score. What was the range of scores?

Answer:

x=36

Divide the corresponding side (16) by 4/7

Answer:

x=36

Divide the corresponding side (16) by 4/7

Step-by-step explanation:

x=16×9/4=36

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

Answer:

y = 1

Step-by-step explanation:

Given

⇒ y = kx⁴

Finding the proportionality constant, k

Finding y

Answer:

  f(x) = 2 -2^x

Step-by-step explanation:

The graph has a horizontal asymptote at y = 2. It has a slope that doubles in each unit interval. This tells you it is an exponential function with a base of 2, and a vertical translation of 2. The curve downward, rather than upward, means the function has been reflected across a horizontal line.

__

An exponential function of the form ...

  y = a·b^x

will have a horizontal asymptote at y=0. The asymptote here is y=2, so 2 has been added to the function value.

The slope of the above function (y=a·b^x) will be multiplied by a factor of 'b' when x increases by 1. Your graph has a slope (rise/run) of -1 for x between 0 and 1, a slope of -2 for x between 1 and 2, and a slope of -4 between x=2 and 3. This behavior indicates that b=-2/-1 = -4/-2 = 2.

The function so far looks like ...

  y = a·2^x +2

Using x=0, we can find the value of 'a'.

  1 = a·2^0 +2

  -1 = a . . . . . . . . subtract 2

Then the function is ...

  f(x) = -2^x +2

Answer:

The answer is 75

Step-by-step explanation:

Answer:

$77.514

Step-by-step explanation:

28.6 x 1.74 + 27.75 =  77.514

Answer:

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

First, subtract by 15 from both sides.

4x+15-15≥x+6-15

Solve.

4x≥x-9

Then, you subtract by x from both sides.

4x-x≥x-9-x

Solve.

3x≥-9

Divide by 3 from both sides.

3x/3≥-9/3

Solve.

Divide the numbers from left to right.

-9/3=-3

[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

Given inequality:

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

Therefore, the solution is x ≥ -3.

Answer: 8

just guessed it

Answer:

x > 4 or x < -1

Step-by-step explanation:

[tex]2x - 3 > 5[/tex]

[tex]2x > 8[/tex]

[tex]x > 4[/tex]

[tex]2x - 3 < - 5[/tex]

[tex]2x < - 2[/tex]

[tex]x < - 1[/tex]

Answer: 10/8 = 1 1/4

Step-by-step explanation:

2x5 =10

4x2 =8

10/8= 1 2/8 = 1 1/4

Answer: 21

Step-by-step explanation:

Answer:

24:37

Simplify the ratio by dividing by the GCF, in this case, two.

[tex]\frac{48 / 2}{74 / 2} = \frac{24}{37}~also~known~as~24:37[/tex]

Answer:

here

Step-by-step explanation:

if you need more explanation comment on this

Answer:

$573.50 per week

Step-by-step explanation:

wages =  40 hr/wk * 7.25 $/hr   $290 per week

tips   90 tables * ( 21*.15) = 283.50

total    290 + 283.5 = 573.50  

Answer:

Below!

Step-by-step explanation:

Let the irrational number be known as "x".

[tex]\implies -\sqrt{41} \times x = 1[/tex]

Divide both sides by -√41.

[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]

[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]

Take the "-" to the numerator:

[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]

Use parenthesis to isolate the "-"

[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]

Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)

[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]

Combine the roots in the equation:

[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]

Remove the parenthesis:

[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]

Thus, Option C is correct.

Answer:

Can't answer this without knowing the height of the rectangle ...

Step-by-step explanation:

Answer: 3.2

Step-by-step explanation: Trust me, I got it right.

Answer:

The digit 5 is equal to is 5,000 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The thousandth digit!

Step-by-step explanation:

Recall that for all [tex]z\in\Bbb C[/tex],

[tex]\displaystyle e^z = \sum_{n=0}^\infty \frac{z^n}{n!}[/tex]

Then

[tex]\displaystyle \frac{e^{z^2}}{z^3} = \frac1{z^3} \sum_{n=0}^\infty \frac{z^{2n}}{n!} = \boxed{\sum_{n=0}^\infty \frac{z^{2n-3}}{n!}}[/tex]

Answer:

A=LxW

Step-by-step explanation:

cut the shape into easier pieces then go to one piece and x the W with the L for example 4x5 then x them and youll get your area like this A=LxW = 20=4x5 like that then do the same for the other pieces then once you x them all add them and youll get the whole area for your shape

hoped it helped :)

1. Simplify the quadratic equation into its standard form

Formula : ax^2+bx+c=0

Subtract  from both sides:

x^2-10x+25=51

x^2-10x+25-51=0

x^2-10x-26=0

Use the standard form,  ax^2+bx+c=0, to find the coefficients of our equation.

x^2-10x-26=0

a=1

b=-10

c=-26

The quadratic formula gives us the roots for ax^2+bx+c=0, in which a, b and c are numbers (or coefficients), as follows :

x=(-b±sqrt(b^2-4ac))/(2a)

to get the result :

x=(10±sqrt(204))/2

Simplify 204  by finding its prime factors:

The prime factorization of 204 is 2^2*3*17

x_2=-2.141

Answer:

x = 5 ± √51

Step-by-step explanation:

x² - 10x + 25 = 51

x² - 10x + 25 - 51 = 51 - 51

x² - 10x - 26 = 0

Factors with a product of -26 and a sum of -10:

NONE! Solve by completing the square (see attachment)

Step 1: Rearrange

x² - 10x + 25 = 51

x² - 10x = 26

Step 2: Add (b/2)² to both sides

x² - 10x + (-10/2)² = 26 + (-10/2)²

x² - 10x + 25 = 51

Step 3: Factor and solve

(x - 5)² = 51

x - 5 = √51

x = 5 ± √51

Step-by-step explanation:

<1 = 180°-102° = 78° (the extended angle is 180°)

<2 = <5 = 58°

<3 = 180° - 78° - 58° = 44° (the sum of the angles inside of a triangle is 180°)

<4 = 180° - 44° - 58° = 78° = <1 (the extended angle is 180°)

The resulting equation after the first step in the solution is:

2v + 4 = 8.

An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.

we have the Equation v + 4 + v  =8

Now, simplifying we get

2v + 4= 8

2v = 4

v =2

To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.

Therefore, the correct answer is : 2v + 4 = 8.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ7

Answer:

add all of them together (x and y’s) the divide the sum by the amt of numbers

Step-by-step explanation:

Answer:

1. 0

2. -2.5

3. 5

4.  -2.5

5.  -4

Step-by-step explanation:

Did this by adding the scores together and then dividing by the number of scores added

Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4

The slope intercept equation can be describe as follows:

y = mx + b

where

Therefore,

(-4, 0)(1, -5)

m = -5 - 0 / 1 + 4 = -5 / 5 = -1

Therefore, let's find b using (1, -5)

-5 = -1(1) + b

-5  = -1 + b

b = -5 + 1

b = -4

Therefore, the equation is y = -x - 4

learn more on slope intercept equation here: https://brainly.com/question/21010520

Answer:

By simplifiying the expression we get

−x+4

Answer:

-x+4

Step-by-step explanation:

Subtract: 37-33

Combine like terms: 6x-7

Rearrange terms: -x+4

Answer:

First,you need to find the components of each force.

Answer:

The maximum rate of change of the given function is equal to 3√2.

The direction at which the vector points is given by the unit vector [tex]\displaystyle \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j}[/tex].

General Formulas and Concepts:
Pre-Calculus

Vectors

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Multivariable Calculus

Partial Derivatives

Gradient:
[tex]\displaystyle \nabla f(x, y, z) = \frac{\partial f}{\partial x} \hat{\i} + \frac{\partial f}{\partial y} \hat{\j} + \frac{\partial f}{\partial z} \hat{\text{k}}[/tex]

Gradient Property [Addition/Subtraction]:
[tex]\displaystyle \nabla \big[ f(x) + g(x) \big] = \nabla f(x) + \nabla g(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle f(x, y) = x^2y^2 + xy - 10[/tex]

[tex]\displaystyle \text{Point} \ (1, 1)[/tex]

Step 2: Find Maximum Rate of Change

∴ the maximum rate of change of the given function f(x, y) is equal to 3√2.

Step 3: Find Direction

∴ we have found the direction of the gradient.

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Learn more about gradient: https://brainly.com/question/6158243

Learn more about multivariable calculus: https://brainly.com/question/2407209

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Topic: Multivariable Calculus

Unit: Directional Derivatives

Answer:

15 ft

Step-by-step explanation:

I'm not sure but I think u add them together to get ur answer

hope it helps

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

Sequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;

an=an-1-5

If the first term a1 = 100, then;

a2 = a1 - 5
a2 = 100 - 5
a2 = 95

For the third term

a3= a2 - 5
a3= 95 - 5
a3 = 90

The other two terms will be 85 and 80

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

Learn more on sequence here: https://brainly.com/question/6561461

Answer:

see below

Step-by-step explanation:

cscx=4

sinx=1/4

cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4

note: cos<0,sin>0 in quadrant II

sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]

cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]

tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]

Calculator check:

[tex]sinx=\frac{1}{4}[/tex]

[tex]x\neq 165.52[/tex]˚ in quadrant II

[tex]\frac{x}{2} \neq 82.76[/tex] ˚

sin(x/2)≈sin(82.76)≈0.9920..

exact value=√(4+√15)/8≈0.9920..

..

cos(x/2)≈cos(82.76)≈0.1260..

exact value=√(4-√15)/8≈0.1260..

..

tan(x/2)=tan(82.76)≈7.872..

exact value=1/(4-√15)≈7.872..