Type the correct answer in each box.
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ____? units. The point (-7, __?) lies on this circle.

Answer:

y = -3x - 1

hope this helps!

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4

Answer:

The sum of  1.8 and 1.56 is 3.36 according to the model

Sum of decimals

Given the expression  1.8 + 1.56

Using the partial sum method

1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)

Regroup as whole and decimal number

1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)

1.8 + 1.56 = 2.0 + 1.36

1.8 + 1.56 = 3.36

Hence the sum of  1.8 and 1.56 is 3.36 according to the model

Answer:

2

Step-by-step explanation:

first, add terms

8 + 5 + 12 + 4 + 5 + 8 + 7 = 49

seven terms, therefore we divide by 7

49/7 = 7

find distance

8-7= 1

7-5= 2

12-7=5

7-4=3

7-5=2

8-7=1

7-7=0

added together you get 14,

14/7 = 2

your answer is 2

hope this helps:)

Answer:

15 gallons per hour

Step-by-step explanation:

So, what is given in the equation is that 1/4 of a gallon is leaking per minute. We have to change this to gallons per hour. Set it up like this:

[tex]\frac{\frac{1}{4}gallon }{1 minute} *\frac{60 min}{1 hour}[/tex]

Use a calculator and multiply 1/4 by 60.

After doing this, you should get:

[tex]\frac{15 gallons}{1 hour}[/tex]

Thus, the answer is the pool will leak 15 gallons per hour.

Hope this helps!! Ask questions in comments if needed!

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

94

Step-by-step explanation:

Equating the mean to the scores :

So

Let that be n

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

Answer:

x = 7 and the degree of other two angles is 69.

Step-by-step explanation:

As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so

9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )

18x + 54 = 180

18x = 180 - 54

18x = 126

x = 126/18

x = 7

the degree of the other two angle is

= 9*7 + 6

= 69

Hope it helps :)

Answer:

1) 16 : 30

2) 8 : 15

3)  [tex]\displaystyle \frac{8}{15}[/tex]

Step-by-step explanation:

Boys = 14

Girls = 16

Total students:

= 14 + 16

= 30

Ratio of Girls to total number of students in class:

= 16 : 30

÷2     ÷2

= 8 : 15

= [tex]\displaystyle \frac{8}{15}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

a=99

Step-by-step explanation:

First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.

180-136=44

Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.

180-125=55

We know that the sum of a triangle's angles is = 180 degrees

We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).

44+55=99

180-99=81

For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).

180-81=99

a = 99 degrees

Hope this helped :) If you have any questions, don't be afraid to comment!

Answer:

Answer:3/4

Step-by-step explanation:there are 30+10=40 marble

you choose 30 green.    30/40=3/4

nice. are they filament lightbulbs or fluorecent lightbulbs

Answer:

5. is 18 your welcome

Step-by-step explanation:

If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.

The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.

Then the density of the aluminum will be

The volume of the aluminum brick will be

V = 6 x 2 x 4

V = 48 cubic m

Then the density will be

D = 129600/48

D = 2700 kg per cubic m

To learn more about the density refer to the link;

brainly.com/question/952755

#SPJ1

Answer:

Graph these points:

(-6, -6)

(0, -6)

(0, -1)

(-6, -1)

Check the picture below.

Make sure your calculator is in Degree mode.

Answer: -17/4

Step-by-step explanation:

Answer:

Option A is the correct option

Answer:1) 0-6, 2)6-8, 3)8-12

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Its simple,

first you find the multiplier, to do this you do:

6/4 which is 2.5

then we do 15 / 2.5

which is 6

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]

Answer:

Parameter

Step-by-step explanation:

A statistic is a piece of data we derive from analyzing the data from a sample, a subset of a larger population. A parameter is derived from analyzing that population. Here, we would call the mean of the sample - 4 - a statistic, and the mean of the population - 4.3 - a parameter.

Answer:

6

Step-by-step explanation:

Answer: C ≈ 25.1

Step-by-step explanation:

      The circumference of a circle can be found with the following formula. We will plug in the diameter given, and solve.

C = dπ

C = (8)π

C ≈ 25.1

Answer:

[tex]9 < \sqrt{90} < 10[/tex]

Step-by-step explanation:

Since [tex]9^2=81 < 90[/tex] and [tex]10^2=100 > 90[/tex], then [tex]9 < \sqrt{90} < 10[/tex]

Answer:

You need 443.2 square inches of wrapping paper to completely cover the prism.

Step-by-step explanation:

Calculate the area of each side.

Triangles:

Base * Height * 1/2

10 in. * 8.7 in. * 1/2

87 in.^2 * 1/2

43.5 in.^2

There are two sides with the triangle so we multiply the 43.5 in.^2 by two

(43.5 in.^2) * 2

87 in.^2

Side Rectangles:

Length * Width

13 in. * 8.7 in.

113.1 in.^2

There are two sides with this size rectangle so we multiply the 113.1 in.^2 by two

(113.1 in.^2) * 2

226.2 in.^2

Bottom Rectangle

Length * Width

13 in. * 10 in.

130 in.^2

There is only one side with the bottom rectangle.

Add up all the calculate areas.

Triangles + Side Rectangles + Bottom Rectangle

87 in.^2   +     226.2 in.^2      +     130 in.^2

443.2 in.^2

Answer:

Step-by-step explanation:

Q1

Q2

hope it helps you

# 1

Conversion of decimal number 10 into binary is:

10 / 2 = 5 with remainder 0

5 / 2 = 2 with remainder 1

2 / 2 = 1 with remainder 0

1 / 2 = 0 with remainder 1

Therefore, the 10 in decimal is equal to 1010 in binary.

# 2

Analog multimeters are multifunction electrical measuring instruments with indicationby means of an arrow (analog) scale.

Modern analog multimeter

Advantages of analog multimeters:

Possibility to carry out measurements at low temperatures down to -30 ° С.Fast operation with a large amount of measurements, when high precision is not required.Do not require power consumption from the built-in power supply in the mode of voltage and current measurement.Instant display of the dynamics of the signal change.

Disadvantages and features:

Non-linear scale and setting zero before starting measurements.Absence of automatic detection of voltage polarity.A small set of functions: most models can measure only DC and AC voltage, DC current and resistance.Low input resistance and, consequently, a high error in low-voltage measurements.Sensitivity to mechanical damage, vibration.

Digital multimeters are modern, reliable measuring devices characterized by high measurement accuracy and various functional capabilities. Digital devices have replaced analogue in connection with the possibility of wide application of semiconductor technologies. Today most of the produced multimeters are digital. Specialists working with electrical equipment, if necessary, can choose among the digital multimeters a model focused on a specific task.

Advantages of digital multimeters:

Maximum possible measurement accuracy.Automatic polarity detection: If the probes are connected incorrectly, the correct values with a minus sign appear on the screen.Possibility of automatic and manual selection of measuring ranges.Multifunctionality.Does not require mandatory zero adjustment.The accuracy of the meter reading does not depend on the battery charge.Resistance to mechanical damage.The ability to record measurement results in memory and synchronize with a PC.

Answer:

45

Step-by-step explanation:

he have -10$ that means he have loan

he withdraw 8,10and 17 dollars

now his balance is -45$

now he deposited 90 dollars

now

=90-45$

=45$