On three science tests, Olivia has received scores of 89%, 98%, and 96%. What is the lowest score Olivia can get on her fourth and final science test to
achieve an average score of 95%?
A.94%
B.97%
C.96%
D.95%

Answer:

k = [tex]\frac{25}{12}[/tex]

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log([tex]\frac{x}{y}[/tex] )

log a = log b ⇒ a = b

Given

logk - log(k - 2) = log25, then

log ([tex]\frac{k}{k-2}[/tex] ) = log25, thus

[tex]\frac{k}{k-2}[/tex] = 25 ( multiply both sides by (k - 2)

25(k - 2) = k

25k - 50 = k ( subtract k from both sides )

24k - 50 = 0 ( add 50 to both sides )

24k = 50 ( divide both sides by 24 )

k = [tex]\frac{50}{24}[/tex] = [tex]\frac{25}{12}[/tex]

Answer:

Reciprocal, Exponential and Logarithmic.

Step-by-step explanation:

x intercept is the value of x where y value is 0.

y intercept is the value of y where x value is 0.

Let us have a look at the possibility for each parent function as given.

I. Linear

[tex]y =x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

II. Absolute value

[tex]y =|x|[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

III. Quadratic

[tex]y =x^{2}[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

IV. Cubic

[tex]y =x^3[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

V. Square root

[tex]y =\sqrt x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VI. Cube root

[tex]y =\sqrt[3]x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VII. Reciprocal

[tex]y =\dfrac{1}x[/tex]

When [tex]x = 0, y \rightarrow \infty[/tex]

Therefore, both x and y intercept do not exist.

VIII. Exponential

[tex]y =b^x[/tex]

where b is any base:

When [tex]x = 0, y =1[/tex] therefore y intercept exists.

When we put y = 0, which is not possible

Therefore, both x and y intercept do not exist.

IX. Logarithmic

[tex]y =logx[/tex]

When [tex]x = 0, y \rightarrow[/tex] not defined

Therefore, both x and y intercept do not exist.

Answer:

[tex]\frac{53}{6}[/tex]

Step-by-step explanation:

[tex]\int\limits^4_3 {x^2-x} \, dx[/tex]

= [ [tex]\frac{x^3}{3}[/tex] - [tex]\frac{x^2}{2}[/tex] ] ← evaluate for upper limit - lower limit

= ( [tex]\frac{64}{3}[/tex] - [tex]\frac{16}{2}[/tex] ) - ( [tex]\frac{27}{3}[/tex] - [tex]\frac{9}{2}[/tex] )

= [tex]\frac{64}{3}[/tex] - 8 - 9 + [tex]\frac{9}{2}[/tex]

= [tex]\frac{155}{6}[/tex] - 17

= [tex]\frac{53}{6}[/tex]

Answer/Step-by-step explanation:

1.a)(iv). [tex] \frac{1}{6} + (-\frac{7}{8} [/tex]

Positive multiplied by negative = negative

[tex] \frac{1}{6} - \frac{7}{8} [/tex]

[tex]\frac{4 - 21}{24} = \frac{-17}{24} = -\frac{17}{24}[/tex]

2a.) 73.48 +(-37.3)

[tex] Note: + * - = - [/tex]

73.48 - 37.3 = 36.18

3c.) [tex] 3\frac{3}{4} [/tex] ÷ [tex] (-4\frac{2}{7}) [/tex]

Convert to proper fraction

[tex] \frac{15}{4} [/tex] ÷ [tex] (-\frac{30}{7}) [/tex]

Change ÷ to × and flip the fraction on your right upside down

[tex] \frac{15}{4} * (-\frac{7}{30}) [/tex]

[tex] -\frac{15*7}{4*30} [/tex]

[tex] -\frac{1*7}{4*2} = -\frac{7}{8} [/tex]

3d.) -52.25 ÷ (-5.5) = [tex] \frac{-52.25}{-5.5} [/tex]

(Note: - ÷ - = + )

[tex] \frac{-52.25}{-5.5} = 9.5 [/tex]

Answer:

x=11

Step-by-step explanation:

The fact of x=11 makes the equation true as for if it didnt work correctly it wouldnt be true.

Step-by-step explanation:

( 4+ 2 ) = ( 2 - ( 6-6) * 6 )

8 = 2

6

follow me and Mark as brainlist ❤️

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is:

Answer:

Step-by-step explanation:

3x + 2 = 7(3 - x)

3x + 2 = 21 - 7x

3x + 7x = 21 - 2

10x = 19

 x = 1.9

[tex]26-x-4 = 26 - 1.9 -4 = 20.1[/tex]

Answer:

Step-by-step explanation:

6 min/4 hole = 1.5 min per hole

9/1.5 = 6 holes

It can be concluded that 6 holes were made.

Hope this helped,

Kavitha

Answer:

6 holes

Step-by-step explanation:

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

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

Answer

the length is 20 cm and breadth is 16cm

Step-by-step explanation:

let, 2(a+b)= 72( as its the formulae of circumference)

here a is the length and b is the breadth

now total area is ab

according to the question

a(b-6)= ab-120

or -6a= - 120

so length is 20 cm

now by putting the value in the 1st eq we get

2(a+b)=72

or(a+b)=36

or 20+b=36

so breadth is 16 cm.

length is 20cm and breadth is 16 cm

(u can verify that easily)

thank u

Answer:

Step-by-step explanation:

Lin after 1 year has 300+2*300/100=300+6=306  $

     after 2 years has 306+2*306/100=306+6.12=312.12$

150-15*150/100=150-22.5=127.5 $ the price for the bicycle

The value after 20 years is $ 723.514

Solution:

Formula for Amount compounded annually is as follows:  

Where,

"A" is the total amount

"p" is the principal sum

"r" is the rate of interest

"n" is the number of years

From given question,

p = $ 300

r = 4.5 %

n = 20 years

Substituting the values we get,

Thus value after 20 years is $ 723.514

PART 2)

2. Given data

Cost of bicycle = $150

Depreciation = 15%

Firstly let us calculate 15% of $150

(15/100)*150 =0.15*150

= $22.5

Since the value depreciated

We will minus the the depression from the initial amount

New amount = 150-22.5=

$127.5

Answer:

1,243,206x

Step-by-step explanation:

Combine like terms:

[tex]28x +25x +23x+23x+45x+1234890x+6389x+1783x\\\\=\boxed{1243206x}[/tex]

The expression can no longer be simplified.

Answer:  Answer is the steps.

Step-by-step explanation:

The table of  with   the values  

 x           y  

0             3

1              1  

2              -1

3              -3  

It represents a linear function because as the y values decrease by 2  the x values increase by 1.

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

[tex] x + 55 [/tex]

[tex] x + 65 [/tex]

[tex] x + 120 [/tex]

The sum of all angles in a quadrilateral = 360°.

Therefore, [tex] (x + 55) + (x + 65) + (x + 120) = 360 [/tex]

Solve for x

[tex] x + 55 + x + 65 + x + 120 = 360 [/tex]

[tex] 3x + 240 = 360 [/tex]

[tex] 3x + 240 - 240 = 360 - 240 [/tex]

[tex] 3x = 120 [/tex]

[tex] \frac{3x}{3} = \frac{120}{3} [/tex]

[tex] x = 40 [/tex]

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

[tex] x + 55 = 40 + 55 = 95 [/tex]

[tex] x + 65 = 40 + 65 = 105 [/tex]

[tex] x + 120 = 40 + 120 = 160 [/tex]

Answer:

3+2=5

Step-by-step explanation:

Answer:

Option D is correct answer.

Step-by-step explanation:

Hey, there!

Before finding a,b,c, you remember the formula of quadratic equation,

[tex]a {x}^{2} + bx + c = 0[/tex]

Where, "a" represents thecoefficient of, x^2 "b" represents the coefficient of y and "c" is a numerical value.

So, the value of a,b,c in this equation "-2x^2+4x-3=0" is:

a= -2

b= 4

and c= -3.

Hope it helps...

Answer:

D

Step-by-step explanation:

EDGE 2021

Answer:

12

Step-by-step explanation:

use the distance formula

(1-1)^2 + (6- (-6))^2

0+12^2

take the sqrt of 144

12

Answer:

12

Step-by-step explanation:

→To solve this, you need to use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

→Plug in the numbers accordingly:

[tex]d=\sqrt{(1-1)^2+(6+6)^2}[/tex]

[tex]d=\sqrt{(0)^2 + (12)^2}[/tex]

[tex]d=\sqrt{144}[/tex]

→Take the square root of 144:

[tex]d=12[/tex]

Answer:

113

Step-by-step explanation:

127 - 2(3+4)

127 - 2(7)

127-14

113

Hi there! :)

Answer:

[tex]\huge\boxed{x = -1}[/tex]

Given:

AC = 22

BC = x + 14

AB + x + 10

AC is equivalent to AB + BC, therefore:

AC = AB + BC

Substitute in the expressions:

22 = (x + 10) + (x + 14)

Combine like terms:

22 = 2x + 24

Subtract 24 from both sides:

-2 = 2x

Divide both sides by 2:

x = -1

Given : AC = 22, BC = x + 14, and AB = x + 10.

[tex]\rule{130}1[/tex]

Solution :

[tex]:\implies\sf AB + BC = AC\:\:\:\:\Bigg\lgroup \bf{Segment\: addition\: postulate}\Bigg\rgroup \\\\\\:\implies\sf (x + 10) + (x + 14) = 22\:\:\:\:\Bigg\lgroup \bf{Substitution}\Bigg\rgroup\\\\\\:\implies\sf 2x + 24 = 22\:\:\:\:\Bigg\lgroup \bf{Simplify\:(added\:like\:term)}\Bigg\rgroup\\\\\\:\implies\sf 2x = -2\\\\\\:\implies\sf x = \dfrac{-2}{2}\\\\\\:\implies\underline{\boxed{\pink{\sf x = -1}}} [/tex]

Answer: 5.83 milea

Step-by-step explanation:

As displacement is the shortest distance between two points. Now 5 miles north and 3 miles east so it makes a Right angle traingle and the hypotenuse is the displacement so

Displacement is (5^2 +3^2)^0.5 =5.83 miles.

The displacement is 5.83 miles.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

Miles Sean ran to the north of his house = 5 miles

Miles Sean ran to the east of his house = 3 miles

For finding the displacement, we have to find out the length of the line from the initial to the final position of Sean.

As Sean first ran north and then ran east, a right-angled triangle is made.

The displacement of Sean is given by the hypotenuse of this right-angled triangle.

The perpendicular is the distance ran in north.

The base is the distance ran in east.

Now, by using the Pythagoras theorem:

H² = P² + B²

H² = (5)² + (3)²

H² = 25 + 9

H² = 34

H = √34 = 5.83 miles

The displacement is 5.83 miles.

Hence, The displacement is 5.83 miles.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ3

Answer:

Step-by-step explanation:

1 + ( -5)     Adding a negative = subtracting:

= 1 - 5

= -4.

Think of these numbers as 'directed' numbers - the numbers depend on the direction.

If we have a thermometer and the temperature reads 1 degree and the temperature drops, the mercury travels down ( negative direction) by 5 units. . It goes down 1 degree to reach 0 then another 4 degrees to reach -4,

1 - 5 = -4.

Answer:

16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,

Step-by-step explanation:

which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square

if this helped please give me brainliest

Answer:

It will be:

Step-by-step explanation:

16=:

a) 1 x 16

b) 2 x 8

c) 4 x 4

All these are the product of 16 prime factors.

Prime factors are any of the number that can be multiplied to give the original number.

Hope they help.

Answer:

The correct answer is:

It is a continuous random variable (C)

Step-by-step explanation:

Continuous Random Variables are variables that do not take on a distinct value. They take on values that are a range of different possibilities to infinity. In continuous random variables, the values cannot be counted. In this example, the time it takes for a light bulb to burn out can be any rational number which is greater than 0, up to infinity; for instance, it can be 24 hours, 24.5 hours, 30.8 hours, 51.2 hours etc. There is an infinite possibility of the time it takes for the bulb to burn out.

Discrete Random Variables are ones in which the variables take on distinct values and nothing in between. Here, the outcomes can be counted. For example if a coin is tossed, there are only two possibilities which can be the outcome and that is either head, or tail. The number of possible outcome is 2, and there is nothing inbetween head or tail.

Answer:

It’s C

(Gibberish words to so i can to 29 words)

hciejdgrifgirgrittrufifgeydifufgfidhfuvifgdudugcudydgdidhdhf

Hope this helped,if not, don’t hate.

Answer:

The time it takes to earn an amount A with a given principal P invested for a time period t is t = (A/P - 1)/r

Step-by-step explanation:

In order to calculate the time it would take to earn a certain amount of interest on a principal amount in an investment with simple interest, we use the simple interest formula as follows;

A = P·(1  + r·t)

A = The final amount after the number of periods of investment

P = The principal or initial amount

r = The interest rate per period

t = The number of the time periods

Therefore, the time it takes to earn a certain amount of interest on a principal amount in an investment with simple interest is fount by making t the subject  of the above equation, which is given as follows;

A/P = 1 + rt

rt = A/P - 1

t = (A/P - 1)/r

Therefore, the time it takes to earn an amount A with a given principal P invested for a time period t is given by t = (A/P - 1)/r.

Answer: $17.78; 26.67; 35.56

Step-by-step explanation:

Given the following information.:

Price of cab = $2 per mile , irrespective of the number of passengers.

Alice's destination = 20 miles

Ben's destination = 30 miles

Calvin's destination = 40 miles

If the three share a cab, the cab fee will be (cost per mile * number of miles of the farthest destination).

($2 * 40) = $80

Let price = a, for 20 miles

Ben's mile = 30 miles = 1.5 times Alice's miles, then Ben's pay = (1.5a)

Calvin's mile = 40 miles = 2 times Alice's miles, then Calvin's pay = (2a)

Thus,

a + 1.5a + 2a = $80

4.5a = $80

a = $80 / 4. 5

a = $17.78

Ben's pay = 1.5a = $26.67

Calvin's pay = 2a = $35.56

Answer:

x=15

Step-by-step explanation:

5x= 75 (divide)

75/5= 15

Answer: There is only one step to solve this equation; we use inverse operations to isolate the x by dividing 5 on both sides. We divide because 5 is being multiplied by x, and the inverse operation for multiplication is division.

5x/5 = x

75/5 = 15

The equation now looks like:

x = 15

x is equal to 15. This is your answer.

Answer:

70√2  units²

Step-by-step explanation:

(see attached for reference notes on parallelograms)

we are given ABCD is a parallelogram where

Short Length, AB = 10 units

Long Length, BC = 14 units

Angle A = 45°

The area of the parallelogram is hence,  

= AB x BC sin 45°

= 10 x 14 x sin 45

= 140 sin 45°    (recall from special angles, that sin 45° = 1/√2)

= 140/√2   (remove radical from denominator by multiplying by √2/√2)

= (140/√2) x (√2/√2)

=70√2  units²

Your question has been heard loud and clear.

First one (x+2i)(x-2i) = x^2+4

Second one (x-2+2i)(x-2-2i) = x^2-4x+8

Third one (x+1+i)(x+1-i) = x^2+2x+2

Thank you

Edit: Sorry for taking 15 minutes I was calculating lol