1. (x + 2) (x +5)
2. (2y + 3) (3y + 2)
3. (3m-n) (9m² + 3mn + n?)
4. (1 + 3m)
5. (7-5)(7m+5)
6. (2m-n)?
7. (a- 5b2)(a + 5b2)
8. (2m + 6)?
9. (x2 + 5y)
10.(n + 4) (2n-7)​

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Answer:

3 1/6

Step-by-step explanation:

2+1/3+5/6

(1/3=2/6)

so 3/6+5/6 =  7/6

A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.

The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.

A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.

Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:

Son's earnings = 62% of Father's earnings

$52,000 = 0.62F

To solve for F, we can divide both sides of the equation by 0.62:

F = $52,000 ÷ 0.62

F = $83,870.97

Therefore, to the nearest dollar, the father earns approximately $83,871.

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Answer:

Square root of 72 is 8.48.

Square root of 90 is 9.48

Answer:

\( \measuredangle 6\)

Step-by-step explanation:

\( \measuredangle 6\) corresponds with \( \measuredangle 2\)

Answer:

C. X²-4X+6

MY ANSWER(not sure)

Answer:

It's D

Step-by-step explanation:

since kelly bought three tickets, you divide by three to find the cost of each individual ticket

Answer:

D. 11 cm

The two shorter sides of a triangle must add to be more than the longest side:  

a + b > c  

If b = 25 and c = 35, then we have:  

a + 25 > 35  

a > 10  

So the shortest side has to be longer than 10 cm.

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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SOLUTION

To find the inverse, first, we will make x the subject of the formula:

Now we will replace x with f-inverse and replace y with x in the above expression:

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

Answer:

Step-by-step explanation:

a right triangle and hypotenuse consist of two legs. the two legs meet at a 90 degrees angle and the hypotenuse is the longest side of the right triangle

The relation between the legs and hypotenuse can be described by Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

A right angled triangle is given as follows,

Here, the hypotenuse is given as AC,

And, the legs are AB and BC respectively.

The relation between them can be given by Pythagoras theorem as follows,

AC² = AB² + BC²

Hence, the sum of the squares of the legs of a right triangle is equal to the square of its hypotenuse.

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Step-by-step explanation:

The answer is D)

b^10/b^2

= b^10-b^2 = b^8

hope this helps.pls like and follow if you understand.

thanks:-):-)

Answer:

426 ft^2.

Step-by-step explanation:

It area = area of the rectangle + area of the triangle

= 15 * 26 + 1/2 * 8 * 9

= 390 + 1/2*8*9

= 390 + 36

= 426 ft^2.

The area of the figure given is 426 ft^2.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Area = Area of the rectangle + Area of the triangle

Area = 15 * 26 + 1/2 * 8 * 9

Area = 390 + 1/2*8*9

Area = 390 + 36

Area = 426 ft^2.

Therefore, the area of the figure given is 426 ft^2.

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Answer:

336 is the answer

Step-by-step explanation:

hope this helps

The transformation sequence that Eli will use to show that the two circles J and K are similar are

The necessary transformation to map circle J onto K are

firstly dilation by a scale factor of two,: this makes the two circles equal in radius

circle J, has a radius of 3, dilation by a scale factor of 2 means 2 * 3 = 6.

hence the radius are equal and the circles similar

translation is used to position the circles same place, Circle J has its center at (3,−3)

translate 6 units left (x direction) = (3 - 6, -3) = (-3, -3)

translate 6 units up (y direction) = (-3, -3 + 6) = (-3, 3)

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Answer:

y = 2x + 12

Step-by-step explanation:

the formula for a line is typically

y = ax + b

a is the slope of the line (expressed as y/x ratio describing how many units y changes, when x changes a certain amount of units).

b is the offset of the line in y direction (for x=0).

we have the points (3, -4) and (-7, 1).

to get the slope of the line let's wander from left to right (x direction).

to go from -7 to 3 x changes by 10 units.

at the same time y changes from 1 to -4, so it decreases by 5 units.

so, the slope is -5/10 = -1/2

and the line equation looks like

y = -1/2 x + b

to get b we simply use a point like (3, -4)

-4 = -1/2 × 3 + b

-4 = -3/2 + b

-5/2 = b

so, the full line equation is

y = -1/2 x - 5/2

now, for a perpendicular line the slope exchanges x and y and flips the sign.

in our case this means +2/1 or simply 2.

so, the line equation for the perpendicular line looks like

y = 2x + b

and to get b we use the point we know (-2, 8)

8 = 2×-2 + b

8 = -4 +b

12 = b

so, the full equation for the line is

y = 2x + 12

Answer:

2x-y+12= 0 or y = 2x+12 is the answer

Step-by-step explanation:

slope of the line joining (3,-4) and (-7,1) is 1-(-4)/-7-3

= -5/10

= - 1/2

slope of the line containing (-2,8) and that is perpendicular to the line containing (3,-4) and (-7,1) = 2

Equation of the line line containing (-2,8) and that is perpendicular to the line containing (3,-4) and (-7,1) is y-8 = 2(x-(-2))

y-8 = 2(x+2)

y- 8 = 2x+4

y=2x+12 (slope- intercept form) or 2x-y+12= 0 (point slope form)

The length and width of the rectangle are 5 inches and 1 inches respectively.

The length and width of the rectangle can be found as follows;

l = 3 + 2w

area of a rectangle = lw

where

Therefore,

5 = lw

5 = (3 + 2w)w

5 = 3w + 2w²

2w² + 3w - 5 = 0

Hence,

2w² + 3w - 5 = 0

Therefore,

w = 1  and w = - 5 / 2

width = 1 inches

length =  3 + 2(1) = 5 inches

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When Felipe measured the floor of his storage unit, which is rectangular as it 4 feet wide and 5 feet, the perimeter is 18 feet.

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. P = x+x+y+y, where P is the perimeter.

We add the lengths of all four sides of a rectangle to find its perimeter. Felipe measured the floor of his storage unit, which is rectangular. It is 4 feet wide and 5 feet from one corner to the opposite corner.

This will be:

= 2(length + width)

= 2(5 + 4)

= 18 feet

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To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

Answer:

The son has washed most of the laundry.

Step-by-step explanation:

Answer:

Here

Step-by-step explanation:

It is B Because if you do (8 times 3)5 it equals 1200

Answer:

6688

Step-by-step explanation:

I think, I hope!

The correct sequence for the numbers that are given will be:

It can be seen that from the information given, a number has been attached to each diagram. This will be used in answering the questions given.

Therefore, the correct sequence for the numbers are given will be 6408, 4608, 0846, and 8064.

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Answer:

D, \(\frac{7(x-4)}{6}\)

Step-by-step explanation:

Basically you have to simplify the (x² - 16). Since it is the difference of 2 squares, it's simplified as (x + 4)(x - 4). Now that everything is simplified, you can start doing the multiplication.

\(\frac{(x+4)(x-4)}{6x} *\frac{7x}{(x+4)}\), You can cancel out the (x+4)'s

\(\frac{(x-4)}{6x} *{7x}\), There is a common factor between 7x and 6x. The common factor is x. So cancel out both "x".

You end up with this, \(\frac{7(x-4)}{6}\)

Answer:

a plus b equals 9923

Step-by-step explanation:

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation: