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Marina86 [1]
3 years ago
6

How many significant figures are in each of the following measurements? A. 0.4004 mL. B. 6000 g. C. 1,000 30 km. & D. 400. m

m
Mathematics
1 answer:
OLga [1]3 years ago
6 0
The rules of significant figures are: 1. all non zeros are significant. 2. trailing zeros are significant. 3. zeros between non-zeros are signifincant. Hence, applying these to the given. 
A. 4 sig figs
B. 1 sig fig
C.6 sig figs
D.1 sig fig
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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
17_2_3_8=3 insert + - × or ÷ symbols to make each statement true​
erastova [34]

Answer:

17-2*3-8=3

Step-by-step explanation:

We have given:

17_2_3_8=3 insert + - × or ÷ symbols to make each statement true​?

<u>Solution:</u>

We will insert multiplication sign between 2 and 3 and then subtract all the terms

<u>17-2*3-8=3</u>

We will solve it according to the DMAS rule:

DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.

Lets solve the expression and check whether the L.H.S = R.H.S

17-2*3-8=3

17-6-8=3

11-8=3

3 =3

<em>Be sure to multiply first and then subtract</em>

⇒You can also insert addition sign in place of multiplication. It will give the same answer

3 0
3 years ago
Read 2 more answers
Solve the proportion
Vanyuwa [196]

W is equal to 19/4 or 4.75

Hope this helps! :)

7 0
3 years ago
The difference between the measures of two supplementary angles is 92. Find the measure of both angles
Sholpan [36]

supplementary angles add up to 180 degrees

x + y = 180

x - y = 92

---------------add

2x = 272

x = 272/2

x = 136 <=== this is one angle

x + y = 180

136 + y = 180

y = 180 - 136

y = 44 <=== this is ur other angle

7 0
3 years ago
Read 2 more answers
The equation of the graphed line is x+2y=5. what is the x-intercept of the graph?
Stella [2.4K]
The x-intercept is where the graph crosses the x-axis. that happens when y=0.

x + 2(0) = 5
x = 5

x-intercept is 5
4 0
3 years ago
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