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3 years ago

The correct way to use a seat belt is

Mathematics

2 answers:

serg [7]3 years ago

8 0

The answer is A across your hips & body over collar bone

tresset_1 [31]3 years ago

6 0

The answer is A
hope i helped

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Find the future sum of a present value of $2,000 deposited in a bank at 5% interested for 8 years, compounded continuously (F=Pe

tatiyna

Answer:

$2983.65

Step-by-step explanation:

A = $2000 $e^{8*.05}$ =

3 0

3 years ago

find the value of each variable in the circle to the right. the dot represents the center of the circle.

gladu [14]

We have been given an image of a circle. We are asked to find the value of each variable.

We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.

we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.

$a=\frac{1}{2}\cdot 99$

$a=49.5$

Therefore, the value of a is 49.5 units.

We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:

$a+b+\frac{1}{2}c=180$

$49.5+90+\frac{1}{2}c=180$

$139.5+\frac{1}{2}c=180$

$139.5-139.5+\frac{1}{2}c=180-139.5$

$\frac{1}{2}c=40.5$

$\frac{1}{2}c\cdot 2=40.5\cdot 2$

$c=81$

Therefore, the value of c is 81.

3 0

2 years ago

What are 4 quarts in one gallon but in a fraction form

mrs_skeptik [129]

Should be 1/4 to my knowledge.

7 0

2 years ago

Read 2 more answers

Can you solve this problem please

Afina-wow [57]

Answer:

k = 11

Step-by-step explanation:

Given the points are collinear then the slopes between consecutive points are equal.

Using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = $\frac{-1-1}{1-5}$ = $\frac{-2}{-4}$ = $\frac{1}{2}$

Repeat with another 2 points and equate to $\frac{1}{2}$

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)

m = $\frac{4+1}{k-1}$ , then

$\frac{5}{k-1}$ = $\frac{1}{2}$ ( cross- multiply )

k - 1 = 10 ( add 1 to both sides )

k = 11

6 0

3 years ago

Read 2 more answers

Hey can you please help me posted picture of question

aleksandrvk [35]

The correct answer is D. Graph D

Find the Vertex of y = 3x2+7x+2

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 3 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -1.1667 

Plugging into the parabola formula -1.1667 for x we can calculate the y -coordinate :
 y = 3.0 * -1.17 * -1.17 + 7.0 * -1.17 + 2.0
or y = -2.083
Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = 3x2+7x+2
Axis of Symmetry (dashed) {x}={-1.17}
Vertex at {x,y} = {-1.17,-2.08}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.00, 0.00}
Root 2 at {x,y} = {-0.33, 0.00}

5 0

3 years ago

Read 2 more answers