Please answer the question if you can? (This is my math from 8th grade)

Answer:

less than or equal to -11

Step-by-step explanation:

subtract 8 to both sides

k< or equal to -11

Answer:

NO

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST true for ALL combinations

12 +8    IS NOT greater than 20

4x +2x+2 +x+3 = 40

7x +5=40

7x =3 5

x=5

side 4x  =  20

side x+3 = 8

side 2x+2 = 12

            20 +8 is bigger than 12

             20+12 is   bigger than 8

             12 + 8  IS NOT BIGGER than 20  (it's just the same)

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Step-by-step explanation:

An expression that shows number of cookies each friend got is c/5.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Cole has c oatmeal cookies. He lets 5 of his friends share them fairly.

Total number of cookies =c

Sharing among 5 friends

Number of cookies each friend got =Total number of cookies/5

= c/5

Therefore, an expression that shows number of cookies each friend got is c/5.

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Answer:

KL = 7, so B is the correct answer.

Answer:

a phone, basketball, etc. would be considered a want.

Step-by-step explanation:

a need is something that you have to have in order to survive. Such as shelter, food to eat, water to drink, and clothes to put on your back. A want is like an extra to thrive. Something that you don't really need, but would like to have. A phone is a want because nobody needs it in order to survive. It just makes time more enjoyable.

An equation that shows the temperature of the water is 67°F + 13°Fx.

Equation:

In math, a mathematical statement with an 'equal to' symbol between two expressions that have equal values is referred as equation.

Given,

Cody is boiling water to cook pasta for dinner. The water in the pot starts at 67°F and the temperature increases by 13°F per minute.

Here we need to write an equation that shows how the temperature of the water in °F.

While we looking into the question we have identified the following things,

Initial temperature = 67°F

Increase in temperature per minute = 13°F

Let us consider x be the time of boiling.

So, it can be written as the equation of.

=> 67°F + 13°F(x)

Therefore, the equation that represents the temperature is 67°F + 13°Fx.

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The regression equation is: y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):

b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)

bo = (ΣY - b1ΣX) / N

Where:

N = Number of data points (in this case, 11)

ΣX = Sum of all X values (prices)

ΣY = Sum of all Y values (average number of pounds sold per day)

ΣXY = Sum of the product of X and Y values

\(\sum X^2\) = Sum of the squares of X values

Using the provided data:

Ex = 210

Xy = 450

Zcy = 10387

Zz = 7275

Xy = 42471

Let's calculate the required values:

N = 11

ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872

ΣY = Xy = 450

ΣXY = Xy = 450

\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)

Now, substitute these values into the formulas to find b1 and bo:

\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)

= -14112250 / 2050445128

≈ -0.0068824

bo = (450 - (-0.0068824 \(\times\) 17872)) / 11

= (450 + 122.7790368) / 11

≈ 36.8881

Therefore, the regression equation is:

y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

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The complete question may be like:

Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.

Answer:

\(\begin{aligned}\textsf{Perimeter} & = 50\\\\\implies 7 + \dfrac{1}{2}x+(x-8) & = 50\\\\\dfrac{3}{2}x & =51\\\\x & = 34\end{aligned}\)

Input found value of x to determine side lengths:

\(\implies 7\)

\(\implies \dfrac{1}{2}(34)=17\)

\(\implies 34-8=26\)

Therefore, the length of the smallest side is 7 units.

\(\begin{aligned}\textsf{Perimeter} & = 75\\\\\implies 21 + \dfrac{1}{2}x+(x+1) & = 75\\\\\dfrac{3}{2}x & =53\\\\x & = \dfrac{106}{3}\end{aligned}\)

Input found value of x to determine side lengths:

\(\implies 21\)

\(\implies \dfrac{1}{2}\left(\dfrac{106}{3}\right)=\dfrac{53}{3}=17\frac{2}{3}\)

\(\implies \dfrac{106}{3}+1=\dfrac{109}{3}=36\frac{1}{3}\)

Therefore, the length of the smallest side is 17 ²/₃ units.

#10

\(\\ \rm\Rrightarrow 7+0.5x+x-8=50\)

\(\\ \rm\Rrightarrow 1.5x-1=50\)

\(\\ \rm\Rrightarrow 1.5x=51\)

\(\\ \rm\Rrightarrow x=34\)

As 0.5x=17units and x-8=26units

#11

\(\\ \rm\Rrightarrow x+1+21+0.5x=75\)

\(\\ \rm\Rrightarrow 1.5x+22=75\)

\(\\ \rm\Rrightarrow 1.5x=53\)

\(\\ \rm\Rrightarrow x=35.3\)

Smallest side 21units

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:

86,405 cm³

Step-by-step explanation:

V = cross-sectional area × height = πr²h = 3.142 × 5² × 1100cm

= 86,405 cm³

Answer:

863.9 m³

Step-by-step explanation:

Cylinder volume is V = πr²h.  Here the height, h, is 11 m and the radius, r, is 5 m.  Thus we have:

V = π(5 m)²(11 m), or

V = π(275) m³, or approximately 863.9 m³

Answer:

300

Step-by-step explanation:

A=wl=10·30=300

multiply the length of the rectangle by the width of the rectangle.

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

Answer:

Area = 378.5 ft²

Step-by-step explanation:

The figure is having two semi circles and one rectangle.

\({ \sf{area = area \: of \: semicircles + area \: of \: rectangle}} \\ \\ { \sf{area = 2( \frac{1}{2} \pi {r}^{2}) + (l \times w) }} \\ \\ { \sf{area = \pi {r}^{2} + (l \times w) }} \\ \\ { \sf{area = 3.14 \times {5}^{2} + (30 \times 10)}} \\ \\ { \sf{area = 378.5 \: {ft}^{2} }}\)

Answer:

do 13+7 you will have your answer. (go down for answer)

Step-by-step explanation:

its 20

If Cole brought 21 cans and his sister brought 7 cans less, then the total number of cans brought by them is 35 cans.

The number of cans which Cole brought = 21 cans of food.

His sister brought in 7 fewer cans than he did, which means she brought in:

⇒ 21 - 7 = 14 cans of food,

Let the total number of food-cans be = "f",

So, the equation to find the number of cans is written as :

⇒ x = 21 + 14,

On adding the number of cans,

We get,

⇒x =  21 + 14 = 35,

Therefore, together they brought in 35 cans of food.

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\(9+3(10 \div 2)-5^2\\\\=9+3(5)-25\\\\=-16+15\\\\=-1\)

Given:

a function f(x) = (x-2)^2 is given.

Find:

we have to find the function whose graph is a result of horizonal shift of 2 units of the original graph.

Explanation:

Since the given graph of the function is shifted 2 units horizontally,

and we know y is vertical axis, x is horizontal axis.

So put x = x+2 in the given function, we get

Therefore the graph of f(x)=(x-2)^2 is a result of horizontal shift of 2 units of f(x) = x^2.

The graphs are given for the reference

The required answer is the number of drivers between 40 and 50 is 4, the number of drivers between 50 and 60 is 8, the number of drivers between 60 and 70 is 10 and the number of drivers between 70 and 80 is 3.

Given that total number of driver driving the vehicle is 25.

40% of drivers surveyed were driving between 60 and 70 mph.

12% of drivers are between 70 and 80 mph.

The amounts of cars driving between 50 and 60 mph is  double than amounts of cars driving between 40 and 50 mph .

The number of drivers who are driving between 60 and 70 mph is

40% of total numbers of drivers = 40/100 × 25 = 10 drivers.

The number of drivers who are driving between 70 and 80 mph is

12% of total numbers of drivers = 12/100 × 25 = 3 drivers.

The remaining number of drivers is the difference between total number of driver  and sum of number of drivers between 60 and 70 and number of drivers between 70 and 80 is   25 - (10+3) =25 - 13 = 12.

Suppose the number of drivers between 40 and 50 be y then amounts of cars driving between 50 and 60 mph is 2y. The sum of drivers between 40 and 60 is 12.

That implies,  y + 2y = 12.

Thus, 3y = 12.

Therefore, y = 4.

Hence, the number of drivers between 40 and 50 is 4, the number of drivers between 50 and 60 is 8, the number of drivers between 60 and 70 is 10 and the number of drivers between 70 and 80 is 3.

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Answer: 105ft^3

Step-by-step explanation:

Answer:

\(105ft^{3}\)

Step-by-step explanation:

V(h) = h(–h + 10)(–h + 8)

Apply the distributive property to the right side and simplify.

V(h) = h(–h + 10)(–h + 8)

V(h) = {h(-h) + h(10)}(-h+8)

V(h) = (-h²+10h)(-h+8)

V(h) = (-h²)(-h) + (-h²)(8) + (10h)(-h) + (10h)(8)

V(h) = -8h² -10h² + 80h

V(h) =  -18h² + 80h

Plug in the value of h from 1 to 9 (since 0<h<10) into the function V(h)   =  -18h² + 80h and create a table

h | V(h)

1  | 63

2 | 96

3 | 105 <------maximum volume is the highest y-value

4 | 96

5 | 75

6 | 48

7 | 21

8 | 0

9 | -9

The maximum volume for the domain 0<h<10 is 105 cubic feet.

Step 1: Write out the formula for finding the area of traingle given the three coordinates

Step 2: Write out the given parameters

Step 3: Substitute the parameters into the formula

Hence, the area is 14square unit

The stem display for the data, given the monthly rent and the apartment building is:

$14 | 10 15 35

$15 | 15 55 75 95

$16 | 40 90

To create a stem display, we first divide the data into groups of tens. The first group is $ 1400  -$ 1499, the second group is  $ 1500 - $1599 , and so on. Next, we write the units digit of each number in the appropriate group.

For example, the number 1,710 is in the $ 1500 - $ 1599 group, so we write a 1 in the 15 column. Finally, we count the number of numbers in each group. There are three numbers in the $ 1400 - $ 1499 group, two numbers in the $ 1500 - $ 1599 group, and three numbers in the $ 1600 - $ 1699 group.

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Answer:

Step-by-step explanation:

hello :

y=x²-10x+16  in the form y=(x-h)²+k

y= x²-2(5)(x)+16  

y = x²-2(5)(x)+5²-9

y= (x-5)²-9    when h=5 and k = -9

The constant of proportionality is equal to 3/10.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/10 = 6/20 = 9/30

Constant of proportionality, k = 3/10.

Therefore, the required linear equation is given by;

y = kx

y = 3/10(x)

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Answer:

1944x^2.

Step-by-step explanation:

sqrt 2x^2 * sqrt18^5

= sqrt2x^2 * (sqrt(9^5*2^5))

= sqrt 2 x^2 * (sqrt9^5 * sqrt 2^5)

= sqrt2 x^2 * (243* sqrt2^5)

= 2^0.5 (243 * 2^2.5) x^2

= 2^3 * 243 x^2

= 1944x^2.

The simplified product of √(2x³) × √(18⁵) is 1944 \(x^{(3/2)\).

To simplify the product √(2x³) × √(18⁵), we can use the properties of square roots.

First, let's simplify each square root separately:

√(2x³) can be written as √(2) × √(x³).

√(18⁵) can be written as √(18) × √(18⁴).

Now, let's simplify each term:

√(2) is the square root of 2.

√(x³) is the square root of x³, which can be written as \(x^{(3/2)\).

√(18) is the square root of 18.

√(18⁴) is the square root of 18⁴, which can be written as 18².

Combining these simplified terms, we get:

√(2x³) × √(18⁵) = (√(2) × √(x³)) × (√(18) × √(18⁴))

\(= (\sqrt2 \times x^{(3/2)}) \times (\sqrt18 \times 18^2)\)

= 3 × √2 × √2 \(x^{(3/2)\) × 18²

= 3 × 2 ×  \(x^{(3/2)\) × 18²

= 6 \(x^{(3/2)\) × 18²

= 6 \(x^{(3/2)\) × 324

= 1944 \(x^{(3/2)\).

Therefore, the simplified product of √(2x³) × √(18⁵) is 1944 \(x^{(3/2)\).

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-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5

Answer:

-4.5

Step-by-step explanation:

\(\sqrt{30}\) is approximately 5.47722557505.  You can find this number with a calculator.

-10 + 5.47722557505 = -4.52277442495

To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value.  Absolute value just means thinking of both numbers as positive numbers.

Helping in the name of Jesus.

Answer:

39°

Step-by-step explanation:

\(\angle RUS +\angle SUT = \angle RUT\\\\5x-4+3x+6 = 90\\\\8x+2=90\\\\8x=88\\\\x=11\)

and now for SUT

\(\angle SUT = 3(11)+6= 33+6 = 39\)

angle RUT=90° ( angle of rectangle)

angle SUT+angle RUS=angle RUT

3x+6+5x-4=90

8x+2=90

8x=88

x=11

angle SUT =39°

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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Answer:

$400

Step-by-step explanation:

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = \(\frac{5685}{0.5}\)  = 11370 sachets