It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is −4h.
Explain what the inequality −4h ≤-14 represents.

Answer:

(x + 1)² + (y - 4)² = 25

Step-by-step explanation:

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 1.

Where the center is C(-h, -k)

Also, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 2.

Where;

h and k represents the coordinates of the centre.

r represents the radius of the circle.

Given the following data;

h = -1

k = 4

r = 5

Substituting into eqn 2, we have;

(x - {-1})² + (y - 4)² = 5²

Simplifying further, we have;

(x + 1)² + (y - 4)² = 25

Answer:

Step-by-step explanation:

There are four axioms to prove the triangles are contruent.They are

SSS(side side side axiom)

SAS(side angle side axiom)

AAS(angle angle side axiom)

ASA(angle side angle axiom)

RHS (right angle hypotenuse side axiom)

here two triangles are congruent by RHS axiom

Answer:

LM = 14

Step-by-step explanation:

LM = AC/2

LM = 28/2

LM = 14

Hope this helps!

The measure of LM is 14 cm.

A triangle midsegment is a line segment that connects the midpoints or centres of two opposite or adjacent triangle sides.

The midsegment theorem asserts that a line segment connecting the midpoints of any two sides of a triangle is parallel to and half of the third side.

According to mid segment is

LM = AC/2

We have AC = 28 cm

Now, substitute the value of AC we get

LM = 28/2

LM = 14

Thus, the measure of LM is 14 cm.

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Explanation:

All of the values in the P(x) column must add to 1.

The value 1 in probability means 100%

Let y be the missing value in the table

0.25+y+0.39+0.15 = 1

y+0.79 = 1

y = 1-0.79

y = 0.21

The probability that x = 4 is 0.21

In other words, P(4) = 0.21

Or that we have a 21% chance of having x = 4 happen.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84

9514 1404 393

Answer:

  y = 14

Step-by-step explanation:

Put the value of x where x is and do the arithmetic.

  2x + 4 = y

  2·5 + 4 = y . . . . . . substitute for x

  10 + 4 = y . . . . . . . multiply

  14 = y . . . . . . . . . . add

The value of y is 14 when x = 5.

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

[tex]2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207[/tex]

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

[tex]34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81[/tex]

Finally, the amount we save is just the difference

633.81-625=8.81

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

\begin{gathered}2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207\end{gathered}

2590.67=300∗

.01275

1−(1+.01275)

−x

.110103476=1−1.01275

−x

.889896525=1.01275

−x

log

1.01275

.889896525=−x

x=9.207

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

\begin{gathered}34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81\end{gathered}

34500=x

.00325

1−(1.00325)

−60

34500=54.43234738x

x=633.81

Finally, the amount we save is just the difference

633.81-625=8.81

Answer:

12

Step-by-step explanation:

bh/2

base is 8

height is 3

24/2

12

Answer:

12

Step-by-step explanation:

The formula to find the area of a triangle is the following,

[tex]A=\frac{b*h}{2}[/tex]

Where (b) and (h) are the base and height of the triangle. In this situation, one can see that the base (CB) equals (8) units. One can attain this number by counting the boxes between point (C) and point (B). The height is (3). This number is the distance from the point (A) to the side (CB). Substitute these values into the formula and solve for the area.

[tex]A=\frac{b*h}{2}[/tex]

Substitute,

[tex]A=\frac{8*3}{2}[/tex]

Simplify,

[tex]A=\frac{8*3}{2}\\\\A=\frac{24}{2}\\\\A=12[/tex]

Answer:

I can't tell if this is a joke or not haha but you would have four eggs left because you broke two, cooked and ate the same two eggs.

Answer:

a - Right angled triangle

b - Parallelogram

c - Square

d - kite

Step-by-step explanation:

Hope this helps

Goodluck

These are the names of each of these shapes;

1. Right-angled triangle

2. Parallelogram

3. Square

4. kite

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle.

A parallelogram is a quadrilateral with two pairs of parallel sides.

The opposite sides of a parallelogram are equal in length and the opposite angles are equal in measure.

A square is a four-sided polygon that has all sides equal in length and the measure of the angles is 90 degrees.

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

These are the names of each of these shapes;

1. Right-angled triangle

2. Parallelogram

3. Square

4. kite

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point D is the answer

________

Answer: C

Step-by-step explanation:

Step-by-step explanation:

1 L equals to 1000 mL

so 350 mL equals to 0.35L

The answer is C

Answer:

Step-by-step explanation:

1. Title of the graph → Comparison of the Plant Growth

2. y-axis represents the height of the plants in centimeters.

3. On day 2:

   Height of plant A (plant outside) = 5.1 cm

   Height of plant B (plant near the window) = 2.25 cm

4. Plant outside shows great increase in the height.

    On day 5,

    Height of the plant outside = 6.75 cm

    Growth in height from day 2 to day 5 = 6.75 - 5.1

                                                                   = 1.65 cm

    Height of the plant near the window = 2.5 cm

    Growth in height of the plant from day 2 to day 5 = 2.5 - 2.25

                                                                                        = 0.25 cm

    Therefore, plant outside shows the great increase in height.

5. Plant near the window grew 0.25 cm in height.

Answer:

x=15 degree

Step-by-step explanation:

5x +5+6x -1+3x+5x+3+4x+8 =360 degree (exterior angles of pentagon is 360 degree)

23x +15 =360

23x=360-15

x=345

x=345/23

x=15 degree

Hope my answer helps uh ✌️

Answer:

(-4,0), (2,0), (0,0)

Answer:

(0,0) (-2,0) (-4,0)

Step-by-step explanation:

Graph the intersects (x) to find the zeros. Replace y with 0 and solve for x.

Answer:

The second integer is greater than the first.

Step-by-step explanation:

Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.

Answer:

c

Step-by-step explanation:

Answer:x=( y-p-mq)/m

Step-by-step explanation:

y-p=m(x-q)

x-q= y-p/m

x=y-p/m=q= y-p+mq/m

x= y-p+mq/m

Answer: 375 hamburgers were sold on Wednesday

Step-by-step explanation: 430 cheeseburgers were sold and 375 hamburgers were sold total of 805 combined

Answer:

hey mate

which laungage is this

y intercept of the function f (x) = -2/9x + 1/3

is

[tex] \frac{1}{3} [/tex]

OPTION C

Answer:

0.188

Step-by-step explanation:

64^1/2 times 10^-2 can also be written as:

√64 x √1/10

8 x 0.31

0.188

Step-by-step explanation:

here is your answer

here is your answer

Answer:

Section A = 18

Section B = 288

Section B is 16 times greater than A

Step-by-step explanation:

Given the function :

g(x) = 6(4)^x

x = 0 to x = 1

At x = 0

g(0) = 6(4)^0 = 6(1) = 6

At x = 1

g(1) = 6(4)*1 = 24

Average rate of change for Section A = g(1) - g(0) = 24 - 6 = 18

Section B ;

x = 2 ; x = 3

g(x) = 6(4)^x

x = 2 to x = 3

At x = 2

g(0) = 6(4)^2 = 6 * 16 = 96

At x = 3

g(1) = 6(4)^3 = 6(4*4*4) = 384

Average rate of change for Section B = g(3) - g(2) = 384 - 96 = 288

Number of times B is greater than A

Section B / section A = 288 / 18 = 16 times

Answer:

99

Step-by-step explanation:

10% = 66

5% = 33

66+33=99

Answer:

18 sides

Step-by-step explanation:

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides