Use substitution to solve the system.
y = 2x – 11
3x + 5y = -3

Answer:

D

Step-by-step explanation:

Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

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Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.

a) Confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576

The margin of error (E) is given as:

[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]

The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)

Hence the 99% confidence interval is between 203.75 and 221.15.

b) The population mean is the same as the sample mean. Hence the population mean = $212.45

Answer:

Its the upper limit and lower limit of the class

Answer:

m, p

Step-by-step explanation:

Answer:

y intercept = -5

slope= 4

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

SO THATS HOW WE ARRIVED AT -5 AND 4.

WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

Answer:

8.08 %

Step-by-step explanation:

Let us denote : [tex]X=[/tex] score X follows a normal distribution with mean [tex]=24[/tex] and standard deviation [tex]=1.5[/tex]

Step 2

The probability that someone scored 21.9 or less is :

[tex]\mathrm{P}(\mathrm{X} \leq 21.9)[/tex]

[tex]=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)[/tex]

[tex]=\mathrm{P}(\mathrm{Z} \leq-1.4)[/tex]

[tex]=0.0808[/tex]

[tex]=8.08%[/tex]

Answer : [tex]8.08 %[/tex]

Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2

Answer:

90

Step-by-step explanation:

Answer:

20 inch

Step-by-step explanation:

500 divided by 25 is 20.

Answer:

2.5 hours or 2 hours and 39 min

Step-by-step explanation:

22.50/9

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

Answer:

the answer to this is a = 11/12

Step-by-step explanation:

Answer:

Option (b) is true.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{100-x}[/tex]

plug in x = 5 in the function

[tex]f\left(5\right)=\sqrt{100-5}[/tex]

[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]

[tex]f(5) = 9.75[/tex]

plug in x = 10 in the function

[tex]f\left(10\right)=\sqrt{100-10}[/tex]

[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]

[tex]\:f\left(10\right)=9.49[/tex]

plug in x = 15 in the function

[tex]f\left(10\right)=\sqrt{100-15}[/tex]

[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]

[tex]\:\:f\left(15\right)=9.22[/tex]

Thus, the table will be:

x              f(x)

0              10

5              9.75

10             9.49

15             9.22

Therefore, option (b) is true.

Answer:

[tex] \frac{1} {2^{-1}}[/tex]

Step-by-step explanation:

[tex] \huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } } [/tex]

Answer:

Step-by-step explanation:

3x+2

Answer:

The  total cost of the ink supplies can be represented  in two different ways, as follows:

a. 3p (1+r)

b. p * (1+ r) * 3

Step-by-step explanation:

a) Data and Calculations:

Number of printer cartridges bought = 3

Sales tax rate = 7%

The total cost can be represented as:

Total cost = 3p (1+r)

where p = the price of a printer cartridge

and r = the sales tax rate

Alternatively, the total cost can be represented as:

Total cost = p * (1+ r) * 3

b) Whichever expression is used, the total cost derived will remain the same.  The first expression includes the sales tax in the total cost, while the second expression includes the sales tax in the cost of the unit before arriving at the total cost.

Answer:

3c+3c(0.07)

Step-by-step explanation:

Answer:

No values of x- Any whole number that is not 8

All values of x: 8

Just one Value of x: There could be many possibilites but all of them have to be some value of x. One answer is:x

Step-by-step explanation:

3x + 8 = 3x + x, which has one solution at x=8.

The given equation is 3x+8=3x+ ____.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

If 3x + 8 = 3x + 7 has no solutions

If 3x + 8 = 3x + 8 has infinite solutions

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8

Therefore, 3x + 8 = 3x + x, which has one solution at x=8.

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Answer:

Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?

A.) more-efficient extraction techniques

Step-by-step explanation:

To curb these detrimental effects, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

Environmental pollutants are substances released into the natural environment that cause negative effects, such as damaging health or inflicting various sorts of damage.

Uranium mining has far-reaching consequences, polluting the environment with radioactive particles, radon gas, water-borne pollutants, and higher concentrations of radiation levels.

To curb these detrimental effects and to improve the possibility of damage caused to the environment, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

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Answer:

Expression: [tex] \frac{40}{y - 16} [/tex]

When y = 20, the value of the expression is 10.

Step-by-step explanation:

The expression for the phrase "difference of a number, y, and 16" is (y - 16).

Therefore, the quotient of 40 and the "difference of a number, y, and 16" would be written as:

[tex] \frac{40}{y - 16} [/tex]

Let's evaluate the expression when y = 20.

Substitute y = 20 into [tex] \frac{40}{y - 16} [/tex].

Thus:

[tex] \frac{40}{20 - 16} [/tex]

[tex] = \frac{40}{4} = 10 [/tex]

Answer:

Jaime is _48_years old, and Savannah is _32_ years old.

Step-by-step explanation:

Jaime is 16 years older than Savannah

Ten years ago, the sum of ages = 60.

(60-16)=22

Ten years ago, Jaime=22+16=38y but now Jaime is 48 (38+10)

Ten years ago, Savannah = 22y but now Savannah is 32y (22+10)

hope this helps

Answer:

Step-by-step explanation:

3000

Answer:

I think that it would be -4.5

Step-by-step explanation:

Have a great day!

Answer:

-4.5

Step-by-step explanation:

yeahhhhhhh

Answer:

volume of figure = 74 cm³

the answer os 60% of 20 is 12

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)