Which is the graph of the equation y - 1 =[tex]\frac{2}{3}(x-3)[/tex]

Answer:

the answer is

Step-by-step explanation:

There are more students in biology than students in geometry.

The following statements does not support the given venn diagram:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

What are Venn diagrams?

The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.

In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.

Solution:

                                   17₊ 22 ₊8 = 47

The result of the addition operation is not equal to the number of        students, hence it does not support to the statement.

                                    17 ₊ 22 = 39

The result of the addition operation is equal to the number of        students, hence it supports the statement.

                                     17 ₊ 8 = 25 and 8 ₊ 22 = 30

                                            where, 25 < 30

Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.

                                     22 ₊ 8 = 30

                                       30 > 17

Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.

So the following statements does not support the venn diagram given:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

Learn more about "Venn diagrams" here-

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{(-2)^3=\bf -8}[/tex]

[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{-8(9)= \bf -72}[/tex]

[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]

[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]

[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]

[tex]\mathsf{-2^2=\bf 4}[/tex]

[tex]\mathsf{= -12+4(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= -12+4(9)}[/tex]

[tex]\mathsf{4(9)= \bf 36}[/tex]

[tex]\mathsf{-12 + 36 = \bf 24}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

look it up because found the correct answer there

Step-by-step explanation:

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

Answer:

si

Step-by-ste

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

Answer:

2x=80°

x=40°

40°+20°=60°

Step-by-step explanation:

all triangles are 180°

Answer:

cereal bowl- 2 cups

baby food jar- 4 fluid ounces

soda can- 12 fluid ounces

swimming pool- 1000 gallons

large can of paint- 1 gallon

Answer:

Self esteem hope this helps

Answer:

The surface area of the sphere is = [tex]99426.41 yd^2[/tex]

Step-by-step explanation:

The area of a sphere can be calculated using this formula:

[tex]A=4\pi r^2[/tex]

However, we have a little problem: we do not have our radius yet to utilize in the formula above.

We can get our radius from the circumference of the circle which has been given to us.

circumference = [tex]2 \times \pi \times r[/tex]

[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]

We now have our radius. we can input it into equation 1 above

The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]

Answer:

Step-by-step explanation:

i dont get it

Answer:

just multiply al the sids like you would with a square

Answer:

A

Step-by-step explanation:

Answer:

a or b

Step-by-step explanation:

if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all

Step-by-step explanation:

If you realise, the quadrilateral is made up of 2 triangles,

therefore the area = 2 x 1/2 x base x height

[tex] = 2 \times \frac{1}{2} \times 12 \times 4 \\ = 12 \times 4 \\ = 48 {units}^{2} [/tex]

Answer:

m=10

Step-by-step explanation:

Answer: 280 minutes

Step-by-step explanation:

Given

Expression is  [tex]7\times (15+25)[/tex]

Apply distributive law i.e.

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]

Thus, theo dog took 280 minutes each week

Answer:

14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70

Step-by-step explanation:

Answer:A

Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so

Answer:

The answer to this is a because it has a sequence of three

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

Answer:

circle is measured by 360°

Step-by-step explanation:

circle half of 180°

Answer:

7 days or, more specifically 7.455 days

Step-by-step explanation:

71 miles divided up into groups of 11

71 mi. ÷ 11 mi. at a time

71 ÷ 11 = 6.455

rounds up to 7 days

6 days will it take him to run 712 miles.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Given

Emilio has to run 712 miles every week to train for the football team.

If he runs 112 miles every day

Based on the given conditions

= [tex]\frac{712}{112}[/tex]

= 6.35

≅ 6 days

Thus, 6 days will it take him to run 712 miles.

Find out more information about division here

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Answer:

∠HGJ + ∠KJG = 180°

So, ∠KJG = 62°

Answer:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

Separate it into 2 parts:

The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.

7 x 6 = 42 in^2

The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.

11 x 6 = 66 in^2

Total:

66 + 42 = 108 in^2

Answer:

108 [tex]in ^2[/tex]

Step-by-step explanation:

This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).

Starting with the top-right rectangle:

We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:

[tex]l=12-6=6[/tex] in

Now that we know l and h, we can evaluate the area of the first rectangle, which is

[tex]A= 6 *4= 24[/tex] in^2

Now for the bottom rectangle:

We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:

[tex]A=12*7=84[/tex] in^2

Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,

[tex]A=24+84=108[/tex] in^2

QED

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Answer:

$830

Step-by-step explanation:

x/2=200+215

x/2=415    multiply by two on both sides to get x alone

x=830

Given:

[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]

To verify:

[tex]x+y=y+x[/tex]

Solution:

We need to verify,

[tex]x+y=y+x[/tex]

Taking left hand side, we get

[tex]LHS=x+y[/tex]

After substituting the values, we get

[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]

[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]

[tex]LHS=\dfrac{-40-27}{45}[/tex]

[tex]LHS=\dfrac{-67}{45}[/tex]

Now,

Taking right hand side, we get

[tex]RHS=y+x[/tex]

After substituting the values, we get

[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]

[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]

[tex]RHS=\dfrac{-27-40}{45}[/tex]

[tex]RHS=\dfrac{-67}{45}[/tex]

Clearly,

[tex]LHS=RHS[/tex]

Hence verified.