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Bond [772]
3 years ago
11

A) Enter the corresponding values on the quadratic formula:

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

The answer is a = 0, b = -5, and c= 39.

<u>Step-by-step explanation</u>:

<u>step 1</u> :

A quadratic equation means that it should have at least one squared term.

<u>step 2</u> :

The standard form is ax² + bx + c = 0.

<u>step 3</u> :

The solution to the quadratic equation is usually written in the form

x = (-b ± √(b2 − 4ac))/(2a)

where a = coefficient of x^2

           b = coefficient of x

          c = constant term

<u>step 4</u> :

The given equation is -5x +32.

∴ The answer is a = coefficient of x^2 = 0

                           b = coefficient of x = -5

                          c = constant term = 39

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A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinat
Vera_Pavlovna [14]

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

7 0
3 years ago
Which numeral is in the thousands ppace in 0.3874
Lunna [17]
The numeral in the thousandths place is 7
7 0
3 years ago
Using a 10' long piece of strut as a straightedge, you are trying to determine the outside diameter of a grain storage silo. You
Vesna [10]

The radius of the silo is the distance from its center to the outside wall

The radius of the silo is 7 3/8" or 7 3/8 inches

<h3>How to determine the radius?</h3>

From the question, we have the following parameters:

  • Length of strut = 10'
  • Outside diameter of silo = 14 3/4"

The radius is then calculated as:

Radius = 0.5 * Diameter

This gives

Radius = 0.5 * 14 3/4"

Evaluate the product

Radius = 7 3/8"

Hence, the radius of the silo is 7 3/8" or 7 3/8 inches

Read more about radius at:

brainly.com/question/1029327

4 0
2 years ago
Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample
TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of first time customers
  • p is the proportion of first time customers based on historical data
  • N is the sample size

For the sample proportion 0.35:

z(0.35)=\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ -1.035

For the sample proportion 0.5:

z(0.5)=\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

6 0
3 years ago
A cube has a volume of 512 cubic mm. If all sides of the cube ae divided by 4, what will the resulting volume be?
kotegsom [21]
Volume of a cube = s³ 

Therefore, s³ = 512, meaning that s = 8.

The question asks what the resulting volume would be if all sides of the cube were divided by 4.

The current side measures 8, and we know that 8/4 = 2.

Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
6 0
3 years ago
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