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2 years ago

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The final velocity of an object moving in on one dimension is given by the formula v = u + at, where u is the initial velocity,

a is thr acceleration, and t is the time. Solve this equation for t. To solve for t, first

1 answer:

agasfer [191]2 years ago

8 0

Answer:

Given Below

Step-by-step explanation:

v = u+at

u+at = v

at = v-u

t = v-u/a

Hope this helps

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The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

Alenkasestr [34]

Answer: $6x^2+11$

Step-by-step explanation:

Given the polynomial of degree 3:

$24x^3 - 54x^2 + 44x -99$

You can observe make two groups or two terms each:

$(24x^3 + 44x) - (54x^2 + 99)$

The Greatest Common Factor (GCF), is the highest number that divides into two or more numbers without leaving remainder.

You can observe that the GCF of both set are factored out ( $4x$ and $9$ ), then, you can find the common factor that is missing from both sets of parentheses with this procedure:

$(\frac{24x^3}{4x}+\frac{44x}{4x})-(\frac{54x^2}{9}+\frac{99}{9})=(6x^2+11)-(6x^2+11)$

You can observe that the common factor that is missing from both sets of parentheses is:

$6x^2+11$

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2 years ago

containers a and b hold 11,875 L of water together. conatainer b holds 2,391L more than container B holds. How many Liters of wa

Licemer1 [7]

Step 1 : 11875=2x+2391 Step 2: 11875-2391=2x Step 3: 9484=2x Step 4: 9484/2=x Step 5: x=4742

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2 years ago

Victoria read a 160-page historical fiction novel followed by a science fiction novel of the exact same length. Her average read

postnew [5]

The answer is C: the average reading speed of the science fiction novel.

If x is her reading speed for the historical fiction novel, and her reading speed for the sci-fi novel is just two pages more than that of the historical fiction novel, then the equation to find out how fast she reads the science fiction novel would be x + 2, as you’re adding 2 to the reading speed of the historical fiction book (x)

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2 years ago

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A 2-column table with 6 rows. The first column is labeled miles driven with entries 27, 65, 83, 109, 142, 175. The second column

Helen [10]

Answer:

1) The linear regression model is y = -0.0348·x + 13.989

2) The correlation coefficient is -0.0725

3) The strength of the model is strong - association

Step-by-step explanation:

1)

X Y XY X²

27 13 351 729

65 12 780 4225

83 11 913 6889

109 10 1090 11881

142 9 1278 20164

175 8 1400 30625

∑ 601 63 5812 74513

From y = ax + b, we have

$a = \frac{n\sum xy - \sum x\sum y }{n\sum x^{2}-\left (\sum x \right )^{2}} = \frac{6 \times 5812 - 601 \times 63}{6 \times 74513-601^{2}} = - 0.0348$

b = 1/n(∑y -a∑x) = 1/6(63 - (0.0348)×601) = 13.989

Therefore, the linear regression model is y = -0.0348·x + 13.989

2)

$r = \frac{n\sum xy - \sum x\sum y }{\sqrt{[n\sum x^{2}-\left (\sum x \right )^{2}] [n\sum y^{2}-\left (\sum y \right )^{2}]}} = \frac{6 \times 5812 - 601 \times 63}{\sqrt{[6 \times 74513-601^{2}] [6 \times 3969 - 63^2]} } = - 0.0725$

3) The strength is - association.

5 0

2 years ago

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Erica earns $11.00 per hour and works a 40 - hour workweek. She is paid time and a half for every hour worked over 40 hours duri

GREYUIT [131]

Base pay = $11 x 40 or $440

$605 - 440 = $165 in overtime
Overtime is 1.5 (1 and a half times) her usual salary

11 x 1.5 = $16.50

$165 ÷ $16.50 = 10 hours of overtime.

5 0

2 years ago