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Answer:

proportion

Step-by-step explanation:

Answer:

Find answers below.

Step-by-step explanation:

The equation isn't explicitly stated or well written. Thus, we would assume two (2) case scenario for the equation of line by altering the signs.

Scenario 1;

y = 9 + x

Mathematically, the equation of a line is given by the formula;

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Comparing the two equations, we have;

y = mx + c = 9 + x

Constant, c = 9

Slope, m = 1

Scenario 2.

y = 9 - x

y = mx + c = 9 - x

Constant, c = 9

Slope, m = -1

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Answer:

g

Step-by-step explanation:

3x+1<2+4x

-1<x

Answer:

x > -1

Step-by-step explanation:

3x + 1 < 2 + 4x

-x < 1

x > -1

Answer:

A

Step-by-step explanation:

Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

Ben uses clay to make the rectangular prism to the left.

Volume of rectangular prism = (length x width x height)

= 11 x 5 x 2

= 110 cubic in

Naomi uses cardboard to make the triangular prism to the right.

The volume of a right triangular prism = ( height× Base Area)

= 4 x 18 x 4

= 288 cubic in

Therefore, Naomi's prism has a greater volume.

Learn more about rectangular prism;

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Answer:

the answer is B.450 +15x

Answer:

B

Step-by-step explanation:

Answer:

The mean score would decrease more than the median score

Step-by-step explanation:

Answer:

4 is next in NUMBER OF DAYS

9 is the first in NUMBER OF TADPOLES

41 is the 2nd answer ON NUMBER OF TADPOLES

Step-by-step explanation:

hope this helps a lot!!

Answer:

150 kg

Step-by-step explanation:

30% of 500 kg

[tex]=0.30*500[/tex]

[tex]=150[/tex]

150 kg

Answer:

1?

Step-by-step explanation:

im not sure im prolly wrong and not fast enough

Answer: 11

Step-by-step explanation:

Given

The second term of an AP is 7

The sixth term of an AP is 23

Suppose a and d be the first term and common difference of the sequence

[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]

Subtract the above equations

[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]

Put d in equation (i)

[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]

So, the third term of the AP is [tex]a+2d[/tex]

[tex]\Rightarrow 3+2\times 4=11[/tex]

Answer:

-10

Step-by-step explanation:

t3 = a1 + (n - 1)*d

t3 = a1 + (3 -1)*d

2 = a1 + 2d

t17 = a1 + (n - 1)*d

-40 = a1 + 16d                Put the first condition underneath and subtract

  2 = a1 + 2d

-42 = 14 d

d = - 3

2 = a1 + 2*(-3)

2 = a1 - 6                      Add 6 to both sides

2 + 6 = a1

a1 = 8

Now you want the 7th term

t7 = a1 + (n - 1)*d

t7 = 8 + (7 - 1)*d

t7 = 8 + 6*(-3)

t7 = 8 - 18

t7 = - 10

Answer:

32 mutipliy 20 and 5

Step-by-step explanation:

Answer:

8 27/28 or 251/28

Step-by-step explanation:

Find common denominators then simply add.

Answer:

Step-by-step explanation:

Given ΔRST with:

Solution

We know t is opposite ∠T and r is opposite ∠R.

Use the law of sines to find the missing value of t.

Substitute the known values and solve for t:

Answer:

t = 6

Step-by-step explanation:

In ΔRST:

Sine Rule

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

Substitute the given values into the Sine Rule formula and solve for t:

[tex]\implies \sf \dfrac{r}{\sin R}=\dfrac{s}{\sin S}=\dfrac{t}{\sin T}[/tex]

[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=\dfrac{t}{\frac{1}{5}}[/tex]

[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=5t[/tex]

[tex]\implies \sf t=\dfrac{15}{5 \sin 30^{\circ}}[/tex]

[tex]\implies \sf t=\dfrac{15}{5 \cdot \frac{1}{2}}[/tex]

[tex]\implies \sf t=\dfrac{15}{\frac{5}{2}}[/tex]

[tex]\implies \sf t=15 \cdot \dfrac{2}{5}[/tex]

[tex]\implies \sf t=\dfrac{30}{5}[/tex]

[tex]\implies \sf t=6[/tex]

Learn more about the Sine Rule here:

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Step-by-step explanation:

SA= 2(5×11)+(5×12)+(11×12)

SA= 2(55+60+132)

SA= 2(247)

SA= 494cm^2

Answer:

Median

Step-by-step explanation:

You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)

Answer:

43°

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

1/10 = 0.1

10/100 = 0.1

0.1+0.1 = 0.2

Given:

The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).

To find:

The equation of the quadratic function.

Solution:

A quadratic function is defined as:

[tex]y=ax^2+bx+c[/tex]            ...(i)

It is passes through the point (0,11). So, substitute [tex]x=0,y=11[/tex] in (i).

[tex]11=a(0)^2+b(0)+c[/tex]

[tex]11=c[/tex]

Putting [tex]c=11[/tex] in (i), we get

[tex]y=ax^2+bx+11[/tex]               ...(ii)

The quadratic function passes through the point (5,31). So, substitute [tex]x=5,y=31[/tex] in (ii).

[tex]31=a(5)^2+b(5)+11[/tex]

[tex]31-11=a(25)+5b[/tex]

[tex]20=25a+5b[/tex]

Divide both sides by 5.

[tex]4=5a+b[/tex]                  ...(iii)

The quadratic function passes through the point (3,11). So, substitute [tex]x=3,y=11[/tex] in (ii).

[tex]11=a(3)^2+b(3)+11[/tex]

[tex]11-11=a(9)+3b[/tex]

[tex]0=9a+3b[/tex]

Divide both sides by 3.

[tex]0=3a+b[/tex]                 ...(iv)

Subtracting (iv) from (iii), we get

[tex]4-0=5a+b-3a-b[/tex]

[tex]4=2a[/tex]

[tex]\dfrac{4}{2}=a[/tex]

[tex]2=a[/tex]

Putting [tex]a=2[/tex] in (iv), we get

[tex]0=3(2)+b[/tex]

[tex]0=6+b[/tex]

[tex]-6=b[/tex]

Putting [tex]a=2,b=-6[/tex] in (ii), we get

[tex]y=(2)x^2+(-6)x+11[/tex]

[tex]y=2x^2-6x+11[/tex]

Therefore, the required quadratic equation is [tex]y=2x^2-6x+11[/tex].

Answer:

There are 25 possible schedules.

Step-by-step explanation:

The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Monday but not Tuesday:

Monday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Tuesday but not Monday:

Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Monday and Tuesday:

Monday and Tuesday(1), plus one out of the remaing 5 days. So

[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]

Total:

10 + 10 + 5 = 25

There are 25 possible schedules.

56

its mutiplying by 4

Answer:

842 grams

Step-by-step explanation:

[tex]70\frac{1}{6} =\frac{421}{6}[/tex]

[tex]\frac{421}{6} *12\\\\842[/tex]

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

Answer: B (−5 < x < 3)

Steps

−19 < 3x − 4 < 5

−19 < 3x − 4 and 3x − 4 < 5

x > −5 and x < 3

−5 < x < 3

Number Line

−19 < 3x − 4 < 5 : Solution: − 5 < x < 3

[ Interval Notation: (−5, 3)]

If a < u < b then a < u and u < b

−19 < 3x − 4 : x > −5

3x − 4 < 5 : x < 3

Combine the intervals

Merge Overlapping Intervals

And that equals=

−5 < x < 3

Answer:

Given a GP where:

Formula for nth term:

Recursive formula

Explicit formula: