Jose Is cooking a roast. The table below gives the temperature (1) of the roast (In degrees Celsius), at a few timest (In minutes) after he removed it from theoven.Timet Temperature R (1)(minutes)(c)010305070226.6205.6157.6119.661.6(a) Find the average rate of change for the temperaturefrom 0 minutes to 10 minutes.0 °C per minute(b) Find the average rate of change for the temperaturefrom 30 minutes to 50 minutes.[ °C per minute

1/4 and 64 can be expressed as follows:

Substituting into the equation:

Solution:

Given the equation;

SImplify:

Since the two sides of the equation are equal, d has infinitely many solutions.

Answer:

C. -4 ± 2√6

Explanation:

The given equation is

3x² + 24x - 24 = 0

First, add 24 to both sides

3x² + 24x - 24 + 24 = 0 + 24

3x² + 24x = 24

And factorize 3 on the left side

3(x² + 8x) = 24

Then, to complete the square, we need to add and substract (b/2)² to the expression in parenthesis. In this case, b = 8, so

(b/2)² = (8/2)² = 4² = 16

Then, add and subtract 16 as follows

3(x² + 8x + 16 - 16) = 24

3(x² + 8x + 16) - 3(16) = 24

3(x² + 8x + 16) - 48 = 24

Finally, we can factorize and solve for x

3(x + 4)² - 48 = 24

3(x + 4)² - 48 + 48 = 24 + 48

3(x + 4)² = 72

3(x + 4)²/3 = 72/3

(x + 4)² = 24

Solving for x, we get

Therefore, the answer is

C. -4 ± 2√6

Answer:

9x + 3

Explanation:

Given the below expression;

The 1st to solving the above is to group like terms;

Let's go ahead and evaluate;

Given:

The total cost of espresso machine costs $46.95. and the tax rate is 4%.

To find:

Find the sales tax?

Explanation:

Solution:

We will start by converting sales tax percentage into a decimal by moving

the point two spaces to the left.

6%=0.06

Now, we need to multiply the pre-max cost of this item by this value

in order to calculate the sales tax cost

Round to two decimal places

Last, add this value of the pre-tax value of the item to find the total cost.

Hence, these are the required values.

For the Horizon offer

There is a cost of $45.99 for 700 minutes plus 6 cents for each additional minute

Since 1 dollar = 100 cents, then

6 cents = 6/100 = $0.06

If the total number of minutes is x, then

The total cost will be

For the Stingular offer

There is a cost of $29.99 for 700 minutes plus 35 cents for each additional minute

35 cents = 35/100 = $0.35

For the same number of minutes x

The total cost will be

For Horizon to be better that means, it cost less than the cost of Stingular

Add 215.01 to both sides

Subtract 0.06x from both sides

Divide both sides by 0.29 to find x

The first whole number greater than 755.17 is 756

The total minutes should be 756 minutes per month for Horizon's to be the better deal.

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$3,200

r=5 1/2 %=5.5%=0.055

t=6 years

n=2

substitute the given values

Find out the interest

I=A-P

I=4,431.31-3,200

Answer:

17/24

Explanation:

To add the fractions

we first find their common denominators.

The common multiple of 3 and 8 is 24 because 3 * 8 = 24; therefore,

Adding the numerators gives

Hence,

The solution of the given equation are; (x + 8)(x − 9)

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We have been given the quadratic equation as;

x² − x − 72

Solving;

x² − (9-8)x − 72

x² − 9x +8x− 72

The factors are;

(x + 8)(x − 9)

Therefore, the solution of the given equation are; (x + 8)(x − 9)

Learn more about quadratic equations;

https://brainly.com/question/17177510

#SPJ1

There can be infinite solutions for x and y, this is because if we look at the equation like a slope intercept equation

we can see that this is the equation for a straight line.

if we graph it

All values of x and y that are obtain by the line can be a solution to the equation given.

When a positive number x is divided by 7, the remainder is 4. The remainder when x is divided by 4 is 7.

What is a remainder?

The quantity "leftover" after executing a computation in mathematics is referred to as the remainder. The remainder is the integer that remains after dividing two integers to get an integer quotient in mathematics.

The remainder operator (%) returns the amount of one argument that is left over after dividing it by another operand. For instance, when 41 is divided by 7, the remaining is 6 and the quotient is 5.

Solution Explained:

A/Q

x / 7 = 4

Solving this equation

x = 4 X 7 = 28

Now putting the value of x in the equation

x / 4

= 28 / 4 = 7

Therefore, the remainder when x is divided by 4 is 7.

To learn more about remainder, use the link given
https://brainly.com/question/18191517
#SPJ1

Given Data:

Ben earned $400 last month.

Since in the academic calendar the last month was July consisting of 31 days.

Therefore the amount earned per day can be calculated as

Now, He worked 3 days in the first week and 2 days in the second week.

So the total number of working days is 5.

Therefore the amount earned for 5 days will be

Therefore the amount for 6 days is approximate $65.

And Hence for each day it is $13.

The diagonals of a rhombus intersect at right angles. So, the m<1 is 90 degrees.

The diagonals of a rhombus bisect each vertex angle.

Therefore, the angle of vertex of 24 degree angle angle is 24x2=48.

The opposite angle of 48 degree angle is also 48 degrees. Since the angle is bisected by diagonal,m<2=24 degree.

The sum of opposite angles, 48+48=96.

The sum of other two equal opposite angles, 360-96=264.

The half of 264 is one angle, So, 264/2=132. Again <3=132/2=66.

m<1=90, m<3=66, m<2=24

Answer:

Step-by-step explanation:

1. (16 · x) + 12 = 172

2. x= 172-12/16

3. x = 10

4. The number is 10.

We need to plug in

x = 4

y = 2

into the expression and simplify/evaluate.

Let's evaluate:

If he spends 15 minutes on a single level, he loses his life.

He has already spent 10 minutes on the level he is playing now.

x = the number of minutes he can play without losing a life.

The inequalities that can be use to represent this scenario will be

The function in the graph is V shaped, this indicates that it corresponds to a function of an absolute value of x:

The V opens downwards, which means that the coefficient that multiplies the module (a) is negative:

→ This means rthat when we calculate the value of "a", this value has to be negative

As you can see in the graph, the vertex of the function is (0,3)

Following the vertex form:

Where xv represents the x-coordinate of the vertex and yv represents the y-coordinate of the vertex. Replace them in the formula and we get that:

Now all we need to do is determine the value of "a", for this we have to use one point of the function and replace it in the formula, this way "a" will be the only unknown.

Lets take for example one of the roots (points where the function crosses the x-axis)

Point (1, 0)→ replace it in the formula

Now that we know the value of a, we can determine the wquation of the function as

Answer:

The measure of angle ABC is;

Explanation:

Given the triangle ABC.

Recall that the sum of angles in a triangle is 180 degrees;

solving for x, we have;

From the diagram,

Therefore, the measure of angle ABC is;

These questions can have multiple answers

for instance,

a)

_+_=10.5

8.5 + 2 = 10.5

5.5 + 5 = 10.5

3.5 +7 = 10.5

5.25 + 5.25 = 10.5



b)

_-3.25 =_

7 - 3.25 = 3.75

7.25 - 3.25 = 4

10. 5 - 3.25 = 7.25

c)

if each _ have the same value

x + x = 10.5

2x= 10.5

x= 5.25

d)

if each _ have the same value

_-3.25 =_

x -3.25= x

x-x = 3.25

0= 3.25

In this case, each x cannot be the same, it would have to be a number that you subtract 3. 25 and it remains the same number. That is not possible.

but if i use x= 5.25

5.25- 3.25= 2

We will start by drawing the lines and angles:

By the properties of the angles that are opposed by the vertex, we know that the measure of the angle AEC and the measure of the angle DEB are the same.

So we can express:

So we can calculate DEB as:

The angle DEB has a measure of 53 degrees.

To get the mean absolute deviation, we first need the mean of the set. The mean is calculated by the sum of the values divided by the number of data:

To get the means absolute deviation, we have to get the absolute difference between each data and the mean, sum them up and divide by the number of data:

ANSWER

EXPLANATION

There are 4 defects out of 10 total computers. This means that there are 6 computers without defects.

The probability that 1 computer selected will not be defective is the total number of non-defective computers divided by the total number of computers:

Therefore, if a sample of 4 computers is selected, the probability that the sample will not contain a defective computer is:

#6:

As it's a rhombus, the diagonal is a bisector, so:

med 2 = 27

med 3 = 27

and

med 5 = 27

med 4 = med 1

Also, the sum of interior angles of a triangle is 180 degrees. Then:

27 + 27 + med 1 = 180

med 1 = 126

med 4 = 126

The slope-intercept form is

→ y = m x + b

→ m is the slope

→ b is the y-intercept

∵ The given equation is

First, multiply the bracket (x + 9) by 1/3

Subtract 10 from both sides

The equation in the slope-intercept form is y = 1/3 x - 7

The volume of a cylinder is given by the following formula:

Where h is the height and d is the diameter.

We can consider the length of the pipe as the height of the cylinder.

Then h=25 ft and d=6 ft. Replace these values in the formula and solve for V:

The volume is 707 ft^3

Since BD bisects ABC, then angles ADB and BDC are congruent. Now that we have that both triangles ABD and CBD have the same two sides and angle, we have that they are congruent (because the side-angle-side postulate)

Given the expression:

We can find its solution by solving like a linear equation up until the exponent:

now, we can apply the square root on both sides to get the following:

therefore, the solutions of the equation are x=1.41 and x=-1.41