Which is NOT true about a direct proportion? A: Its graph must go through the origin. B:Its graph must be linear. C: Its graph must have a slope of 1. D: I ts graph must have a constant slope. (PLEASE EXPLAIN) thank you!!!! I really appreciate the help!!!!

Answer:

Volume of a sphere = 4/3πr³

π = 3.14

r = radius which is 3in

Volume = 4/3 × 3.14 × 3²

= 37.68

= 38 cubic inches to the nearest hundredth

Hope this helps

Answer:

38 cubic inches

Step-by-step explanation:

Answer:

"Correct"

Triangles: Have three (3) sides

Quadriliaterals: QUAD being the key word means four (4)

"Incorrect"

Pentagons: Have five (5) sides

Hexagons: Have six (6) sides; key word being HEX

Heptagons: 7 sides (7)

Step-by-step explanation:

Answer:

The mean salary for the 50 employees of the new company = $87

Step-by-step explanation:

Mean for any n set of number is \

mean = sum of n terms/ n

_________________________________

For company A

The mean salary for the 20 workers in company A is $90 per week,

mean = $90

n = 20

using above formula

90 = sum of salary of 20 workers/20

sum of salary of 20 workers = 90*20 = $1800

__________________________________________________

For company B

The mean salary for the 30 workers in company A is $85 per week,

mean = $85

n = 30

using above formula

85 = sum of salary of 30 workers/30

sum of salary of 30 workers = 85*30  = $2,550

____________________________________________

If two companies merge

Total salary for all the 50 workers for both the company =

sum of salary of 20 workers in company A + sum of salary of 30 workers in company B = $1800 + $2550 = $4350

Mean salary of 50 workers will be

n= 50

mean = Total salary of 50 workers/50

mean salary of 50 workers = 4350/50 = 87

The mean salary for the 50 employees of the new company = $87

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

Answer:

x = 50

Step-by-step explanation:

Since this is a quadrilateral, the sum is 360 degrees

2x+x+10 + 3x+x = 360

Combine like terms

7x+10 =360

Subtract 10 from each side

7x+10-10 = 360-10

7x = 350

Divide by 7

7x/7 = 350/7

x = 50

Answer:

[tex]x = 50[/tex]

Step-by-step explanation:

Sum of the interior angles in a quadrilateral

= 360°

Let's solve now

[tex]x + 10 + 3x + x + 2x = 360 \\ 7x + 10 = 360 \\ 7x = 360 - 10 \\ 7x = 350 \\ \frac{7x}{7} = \frac{350}{7} \\ x = 50[/tex]

hope this helps you.

[tex]\bold{\text{Answer:}\quad \text{Recursive formula:}\ a_n=a_{-1}+2n+5}\\.\qquad \qquad \ \text{Explicit formula:}\ a_n=2n^2+3n-6[/tex]

Step-by-step explanation:

-1 → 8 = +9

8 → 19 = +11

19 → 32 = +13

32 → 47 = + 15

a₁ = -1

d = 2n + 5

Recursive formula is: the previous term plus the difference (d)

                               [tex]\large\boxed{a_n=a_{n-1}+2n+5}[/tex]

Explicit formula is the first term plus the product of d and n-1:

[tex]a_n=a_1+d(n-1)\\a_n=-1+(2n+5)(n-1)\\a_n=-1+2n^2-2n+5n-5\\\large\boxed{a_n=2n^2+3n-6}[/tex]

Answer:

First one: true        Second one: true

Step-by-step explanation:

First Question: the lines will be parellel even though the shape grows or gets smaller

Second Question: the angle will stay the same even if it grows into a larger or smaller shape.

Answer:

Jen has 5c -23 cards now

Step-by-step explanation:

Matt has c baseballs.

Jen has 9 fewer than 5 times as Matt.

Mathematically, what Jen has will be 5c -9 baseballs

Now, Jen gives Matt 14 cards. This means that she lost 14 of her cards and we are going to subtract.

The number of cards she has now is thus 5c-9-14 = 5c -23 cards

Answer:

2 & 4

1 & 3

5 & 7

8 & 6

Vertical angles are formed in a set of intersecting lines. They are two differrent angles that are opposite of eachother but have the same angle.

Angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:

<1 and <3

<2 and <4

<5 and <7; and

<8 and <6

Recall:

Angles that are regarded as pairs of vertical angles share the same vertex and are directly opposite each other at the point of intersection of two straight lines.

<1 and <3 are directly opposite each other and share same vertex.

<1 and <3 are therefore are a pair of angles that are vertical angles.

<2 and <4; <5 and <7; and <8 and <6 are all directly opposite each other. They are vertical angles pair.

Therefore, angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:

<1 and <3

<2 and <4

<5 and <7; and

<8 and <6

Learn more here:

https://brainly.com/question/2889556

Answer:

840 cm³

Step-by-step explanation:

To find it's volume , let's just divide the whole prism into two rectangular prisms.

Rectangular Prism 1:

Volume = [tex]Length * Width * Height[/tex]

Volume = 8 * 15 * 6

Volume = 720 cm³

Rectangular Prism 2:

Volume = [tex]Length * Width * Height[/tex]

Volume = 5 * 4 * 6

Volume = 120 cm³

Whole Prism:

Volume = 720+120

=> 840 cm³

Answer:

840 cm^3

Hope this helps :)

Answer:

3.38/6.21=54.428% (0.54428)

Step-by-step explanation:

biocapacity of grazing land of 0.85 ha/person+biocapacity of forest land of 2.53 ha/person

2.53+0.85=3.38

the percentage of biocapacity from grazing and forest land

3.38/6.21=54.428% (0.54428)

Answer:

Coordinates of point P is [tex](-14,3)[/tex].

Step-by-step explanation:

Given that mid point of line segment [tex]\overline {PQ}[/tex] is at M(-9, 8.5).

Q is at (-4, 14).

Let coordinate of P be [tex](x,y)[/tex].

Using the ratio, we can say the following:

The coordinates of mid point [tex](X,Y)[/tex] of a line with endpoints [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:

[tex]X=\dfrac{(x_1+ x_2)}{2}[/tex]

[tex]Y=\dfrac{(y_1+ y_2)}{2}[/tex]

Using the formula for above given dimensions:

[tex]-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14[/tex]

[tex]8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3[/tex]

So, the coordinates of point P are [tex](-14,3)[/tex].

Answer:

D. [tex]\sqrt{8}[/tex]

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

First, we find the difference:

d = (-8 - (-6), 6 - 4)

d = (-8 + 6, 2)

d = (-2, 2)

We now find the magnitude:

[tex]|d| = \sqrt{x^2 + y^2}[/tex]

where x = x coordinate, y = y coordinate

[tex]|d| = \sqrt{(-2)^2 + (2)^2} \\\\|d| = \sqrt{4 + 4} = \sqrt{8}[/tex]

The answer is Choice D.

Answer:

D

Step-by-step explanation:

Khan said it was correct :)

Answer:

(A)CPCTC

Step-by-step explanation:

Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.

If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.

Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).

The correct option is A.

Similarly, we can also conclude that:

Answer:

( x + 36 ) ( x - 2 ) = 0

Step-by-step explanation:

x^2 + 36x - 2x -72 = 0

x ( x + 36 ) - 2 ( x + 36 ) = 0

( x + 36 ) ( x - 2 ) = 0

Answer:

Step-by-step explanation:

1050 flowers

3/10 of them are red=> 3/10 *1050=3*105=315 red flowers

2/5, (or 4/10),  are white =>4/10 * 1050=4*105=420 white flowers

=> 1050-(315+420)=1050-735=315 yellow flowers​

Answer:

Primary source

Step-by-step explanation:

This is because it says "your" house, it means that you are the one looking and counting at the number of cars.

If this was not said "your", there is a higher chance that it is a secondary source, but in this case, it is a primary source.

Its Primary source

HOPE IT HELPS

The attached picture was omitted from the question.

Answer:

C = 41.88 feet

a = 33.1°

b = 56.9°

Step-by-step explanation:

From the diagram, we have a right angle triangle.

C = hypotenuse

C = sqrt(35^2 + 23^2)

C = sqrt(1225 + 529)

C = sqrt(1754)

C = 41.88 feet

The connecting Angles:

Angle 'a'

Using tan = opposite / Adjacent

Tan a = 23 / 35

tan a = 0.6571428

a = tan^-1 (0.6571428)

a = 33.1°

Angle 'b' :

Sum of angles in a triangle = 180

a + b + 90 = 180

33.1 + b + 90 = 180

b + 123.1 = 180

b = 180 - 123.1

b = 56.9°

Answer:

the 95th percentile for the sum of the rounding errors is 21.236

Step-by-step explanation:

Let consider X to be the rounding errors

Then; [tex]X \sim U (a,b)[/tex]

where;

a = -0.5 and b = 0.5

Also;

Since The error on each loss is independently and uniformly distributed

Then;

[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]

where;

n = 2000

Mean [tex]\mu = \dfrac{a+b}{2}[/tex]

[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]

[tex]\mu =0[/tex]

[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{1}{12}[/tex]

Recall:

[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]

[tex]n\mu = 2000 \times 0 = 0[/tex]

[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]

For 95th percentile or below

[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]

[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]

[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]

From Normal table; Z >   1.645 = 0.05

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]

[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]

[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]

[tex]\mathbf{P_{95} = 21.236}[/tex]

the 95th percentile for the sum of the rounding errors is 21.236

Answer:

5n = 1.75

Step-by-step explanation:

The 2 bars are equal thus lower equals upper, that is

5n = 1.75

Answer:

b=3.1 cm

Step-by-step explanation:

Both of the longer sides will be equal so you can set up the equation (6.3+6.3)+b=15.7. Simplified you get 12.6+b=15.7, subtracting 12.6 from both sides you get that b=3.1 cm. This can be checked because it is also shorter than 6.3 and works correctly in the perimeter.

Answer:

dose it tell you want angle the arc is at?

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

2√6

Step-by-step explanation:

x + y = 6

xy = 3

Square the first equation.

x² + 2xy + y² = 36

Subtract 4xy from both sides.

x² − 2xy + y² = 36 − 4xy

Factor.

(x − y)² = 36 − 4xy

Substitute.

(x − y)² = 36 − 4(3)

(x − y)² = 24

Take square root.

x − y = ±√24

x − y = ±2√6

Take absolute value.

|x − y| = 2√6

the volume of the cylinder is d)168 units

Answer:

C. 0.377

Step-by-step explanation:

20 people drive to work in suburban areas out of 53.

20/53 = 0.377358

Answer:

x is 226.154…

Step-by-step explanation:

1) x-14=y+196

x=y+196+14

x=y+210

2)x=14y

3) 14y=y+210 collect like terms together

14y-y=210

13y=210 divide both sides by 13

y=16.154

4)x=y+210 meaning:

x=16.154+210

=226.154

Answer:

8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2

Step-by-step explanation:

Options are below

8 to the power of 1 over 3 equals 4 to the power of 3 whole to the power of 1 over 3 equals 4 to the power of 3 multiplied by 1 over 3 equals 4

8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2

8 to the power of 1 over 3 equals 2 to the power of 4 whole to the power of 1 over 3 equals 2 to the power of 4 multiplied by 1 over 3 equals 16

16 to the power of 1 over 4 equals 8 to the power of 2 whole to the power of 1 over 4 equals 8 to the power of 2 multiplied by 1 over 4 equals 8

Given:

8^1/3

if a power is raised to a power, we simplify it by multiplying the exponents; this will create a whole number exponent

if 8 can be rewritten as a number to the 3rd power.

We have

8 = 2*2*2 = 2³

Therefore,

8^1/3=(2^3)^1/3

=2^3×1/3

=2^3/3

=2^1

=2

Answer:

no solution

Step-by-step explanation:

Left and right sides are equal so no solution

Answer:No solution

Step-by-step explanation: I got it right on the test :)

Answer:

forty two miles over three gallons

Step-by-step explanation:

2 gallons over 32 miles simplifies to 1 gallon over 16 miles, or 1 gallon per 16 miles. This is not the desired result, so we know the first choice is incorrect.

32 miles over 2 gallons simplifies to 16 miles over 1 gallon, or 16 miles per gallon. Again, this is not the desired result, so we know the second choice is also incorrect.

3 gallons over 42 miles simplifies to 1 gallon over 14 miles, or 1 gallon per 14 miles. While this may look correct, note that 1 gallon per 14 miles and 14 miles per gallon are not the same thing, so we know that the third answer is also incorrect.

By process of elimination, we know that the correct answer must be the last option, but let's still simplify it. 42 miles over 3 gallons simplifies to 14 miles over 1 gallon, or 14 gallons per mile. This is in fact the desired result, so we know that the correct answer is the last option. Hope this helps!