5. How many 1/2 cups can be filled with 500 milliliters of liquid?

Answer:

3.6 is the answer

Step-by-step explanation:

3z when z=1.2

3(1.2)=?

3*1.2=

(3*1)+(3*.2)=3+.6

Answer:

3.6

Step-by-step explanation:

If z = 1.2

3z

= 3 × (1.2)

= 3.6

Hope it helps ⚜

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)

Answer: Line 4

Step-by-step explanation: The slope of this line is angled downward. The others are either angled upward or straight up. The vertical and horizontal lines have 0 in their slopes. So, line 4 is the only line with a negative slope because it has a negative number in the slope. ((x,y), y would be negative.)

Answer:

Hi, there your answer will D.4

Step-by-step explanation:

Also, if you need help finding what slope is negative or positive use this chart to help you

Hope this Helps :)

Answer:

Is the C and F

Step-by-step explanation:

Answer:

31.9

Step-by-step explanation:

cos(15°)× 33 = 31.87~ 31.9

Answer:

(3,0) and (7,8)

Step-by-step explanation:

I assume you are looking for the points at which the parabola and line cross. In that case, this is rather simple. You can look at it and see where on the graph the points are.

Answer:

Rounded to the nearest ten, 5760

Rounded to the nearest tenth, 5764.4

Rounded to the nearest hundred, 5800

Rounded to the nearest hundredths, 5764.36

Step-by-step explanation:

Answer:

49 square miles

Step-by-step explanation:

Sorry on the last question :(

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Have a good day :)

Answer:

49 square miles

Step-by-step explanation:

7 × 5 = 35

9 - 5=4

4 × 8 = 32

32 ÷ 2 = 16

35 + 16 = 49

Answer:

x = - 1

Step-by-step explanation:

Given

4x = x^2 - 5               Transfer 4x to the right side.

Solution

x^2 - 4x - 5 = 0          Factor

(x - 5)(x + 1)

You want the negative solution. That means that the middle sign must be plus.

x + 1 = 0                   Subtract 10 from both sides

x = - 1                       Ten on the left disappears by the subtraction process.

Is that correct?

4x = x^2 - 5

x = - 10

4*(-1) = (-1)^2 - 5

-4  = ? 1 - 5

-4 = - 4

and it does work.  

Answer:

The first student, with 20 measurements, will have the more precise interval due to the larger sample size.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s to the standard deviation and n to the sample size.

The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.

In this question:

One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.

Step-by-step explanation:

X-2y=5 ; 2x-4y=10

• x - 2y = 5 • 2x -4y = 10

-2y = -x+5 -4y= -2x +10

y1 = ½x - 5/2 y2 = ½x -5/2

• => y1 = y2

½x -5/2 = ½x -5/2

the systems have no solution

• graph as attached

Answer:

[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

True for all x (infinitely many solutions)

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y = mx + b[/tex]

(where m is the slope and b is the y-intercept)

Given equations:

[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]

To put both equations in slope-intercept form, rearrange both equations to make y the subject:

Equation 1

[tex]\implies x-2y=5[/tex]

[tex]\implies x-2y+2y=5+2y[/tex]

[tex]\implies x=5+2y[/tex]

[tex]\implies x-5=5+2y-5[/tex]

[tex]\implies 2y=x-5[/tex]

[tex]\implies 2y \div 2=(x-5) \div 2[/tex]

[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

Equation 2

[tex]\implies 2x-4y=10[/tex]

[tex]\implies 2x-4y+4y=10+4y[/tex]

[tex]\implies 2x=10+4y[/tex]

[tex]\implies 2x-10=10+4y-10[/tex]

[tex]\implies 4y=2x-10[/tex]

[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]

[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

Therefore, both equations are the same as they have the same slope and y-intercept.

As both equations are the same, this system of equations is called an equivalent system.

To solve a system of equations by substitution, substitute one equation into the other:

[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]

As both sides are equal, the solution is true for all x.

The solution to a graphed system of equations is the point(s) of intersection.

When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.

Learn more about systems of equations here:

https://brainly.com/question/21447811

https://brainly.com/question/27357423

Answer:

Remove parentheses. −y−z+7.99

Evaluate y , then set it equal to 1.46.

=1.46

Evaluate z , then set it equal to 3.82.

=3.82

List all of the solutions.

−y−z+7.99=−y−z+7.99

y=1.46==1.46

z=3.82==3.82

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Complement means that the 2 angles add up to 90 so:

x + 52 = 90

x = 90 - 52

x = 38

Answer:

120%

Step-by-step explanation:

It just is

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )

Answer:

98 i believe,

Step-by-step explanation:

hope this helps, have a great day :)

Answer:

Encourage po

Step-by-step explanation:

Answer:

option 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

There are 10 data points in the graph, so the second one represents all 10 data points whereas the first one only shows the values and not how many of each value there are

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

Answer:

D. y = –3x2

Step-by-step explanation:

Answer:

y = -3x^2

Step-by-step explanation:

A quadratic function has a leading coefficient which determines its width. When |a| < 1 the graph is wider. When |a| > 1 the graph is narrower. This means y = -3x^2 is the narrowest graph since 3 is the greatest.

Answer:

---------------------

hope it helps...

have a great day!!

there would be 2  bags in there

Answer:

(5+7)^5

12^5

12*12*12*12*12

248832

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

-5 times 7 = -35

hope that helped :)

Answer:

- 35

Step-by-step explanation:

The product of a negative and a positive is negative, so

- 5 × 7 = - 35

part a y= x × 100

Step-by-step explanation:

1 bar is 100 calories so you would times it by 100 for every bar