Graph algebra problem! Can anybody help me out as graphs are definitely not my strong suit.​

Answer:

8. B

9. B

10. B

thats my answer

The greatest number of pots that can be filled is 3.

In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.

Number of pots that can be filled = 1 1/4 ÷ 2/5

= 5/4  ÷ 2/5

= 5/4 x 5/2 = 25/8 = 3 1/8

Thus, the greatest number of pots that can be filled is 3.

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Answer:

3.

[tex] \frac{28}{3} [/tex]

Step-by-step explanation:

number 1 equals 8 1/5

number 2 equals 5

number 3 equals 9 1/3

Answer:

-1, -24

Step-by-step explanation:

-9-(-8)

double negative = positive

-9+8=-1

21-45=-24

Answer:

D

Step-by-step explanation:

Check the picture below.

Answer:

2.5 sq. inches

Step-by-step explanation:

Explanation is given in the pic attached.

Area of triangle= 1/2* base* height

Hope this helps!

The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches

From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)

This variation is represented as:

[tex]\mathbf{A\ \alpha\ B \times H}[/tex]

So, we have:

[tex]\mathbf{A\ \alpha\ BH}[/tex]

Express as an equation

[tex]\mathbf{A\ =k BH}[/tex]

When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]

[tex]\mathbf{1.5\ =k \times 3}[/tex]

Divide both sides by 3

[tex]\mathbf{\frac 12 =k }[/tex]

Rewrite as:

[tex]\mathbf{k = \frac 12}[/tex]

When the base is 2 inches and the height is 2.5 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]

[tex]\mathbf{A = 2.5}[/tex]

Hence, the area of the flag is 2.5 square inches

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Answer:

18.77 ft

Step-by-step explanation:

use SOHCAHTOA

The ladder is a side, which is opposite to the angle. The ladder's side is also the hypotenuse of the triangle, so use sin.

sin(81) * 19 = 18.77 ft

Answer:

If they want the slope, it is 4/2

Step-by-step explanation:

Answer: 36

Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36

Since there is no number greater or less than the above one, it doesn't contain any outlier.

The given data set is

17.2  22.1  18.5  17.2  18.6  14.8  21.7  24.1  13.3  16.2

17.5  19.0  23.9  14.8  13.5  15.8  13.1  16.1  21.9  23.9

19.3  15.4  16.7  19.5  16.2  16.9  17.1  20.2  19.7  18.7

17.6  15.9  15.2  17.1  15.0  15.8  16.3  22.8  22.2  21.7

20.7  12.0  19.9  19.4  13.4  19.8  17.7  18.8  21.6  11.9

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

(a) Sample Mean = The Sum of the given terms/Number of terms

So, sample mean as µ=17.954

Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]

=9.97

Standard deviation s=√9.97

=3.16

b) The standard error can be denoted by:

s/√n-1 = 3.16/√49

=0.45

c) For the given data,

The value of the least sample number =12.0

The value of the greatest number in sample=24.1

So, Q1=15.83

Median =17.75

Q3=19.88

d) The IQ range would be as follows:

Q3-Q1=19.88-17.75

=4.05

The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.

Since there is no number greater or less than the above one, it doesn't contain any outlier.

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Using the normal distribution, it is found that there is a 0.8888 = 88.88% probability that his tube last the whole trip.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability that his tube last the whole trip is the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the n instances

[tex]Z = \frac{X - n\mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.79}{0.2\sqrt{6}}[/tex]

[tex]Z = 1.22[/tex]

[tex]Z = 1.22[/tex] has a p-value of 0.8888.

0.8888 = 88.88% probability that his tube last the whole trip.

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Answer:

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

Step-by-step explanation:

The generic form will be ...

  h(t) = a +b·sin(c(t -d))

The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).

  a = (8 +136)/2 = 144/2 = 72

The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.

  b = (136 -8)/2 = 128/2 = 64

The value of 'c' is the frequency of the motion in radians per second. It will be ...

  c = 2π/(period in seconds) = 2π/127

The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:

  d = 127/4 = 31.75

Then our finished sinusoidal function is ...

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

_____

Additional comment

If we were to use the cosine function instead, the equation could be simpler:

  h(t) = 72 -64·cos(2πt/127)

The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.

Answer:

No

Step-by-step explanation:

While these values are close, they are not equal, so I know the original fractions cannot be proportional to each other. So my answer is: The fractions are not

Answer:

  1/(xy)³

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

_____

  [tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]

Answer:

7.77+11.97u

Step-by-step explanation:

2.1(3.7+5.7u)=7.77+11.97u

Answer:

Pasend pic

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

[tex](2x-y)(3x+y)\\\\=2x(3x+y) -y(3x+y)\\\\=6x^2 +2xy - 3xy -y^2\\\\=6x^2 -xy -y^2[/tex]

Answer:

2

Step-by-step explanation:

sum of digits=1+2+5+8=16

smallest term to be added to make it divisible by 9 is 2

∵16+2=18÷9=2

Answer:

just answered

Step-by-step explanation:

The value of x in the given diagram is 7 because the two triangles are similar

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given two triangle are similar

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find x

49/x=14/2

49/x=7

49/7=x

We get x=7

Hence, the value of x in the given diagram is 7 because the two triangles are similar

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[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]

Answer:

d q knows

Step-by-step explanation:

sory need points

Answer:

ddecimal is a fraction

Step-by-step explanation:

Oh a decimal is a fraction written in a special form

Answer:

what to do here I don't know sorry

...............

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.

........

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.

...............

Answer:

f(x) = 16x4 + 96x3 + 216x2 + 216x + 81

Answer:

Option B is correct.

Step-by-step explanation:

c - 2.5 = 0

=> c = 0 + 2.5

=> c = 2.5

Therefore, c = 2.5 is our answer.

Hoped this helped.

Answer:

B-2.5

Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5