What is 3 4/5÷(−1 1/10)?

Write the answer as a mixed number in simplest form.

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

Answer:

17

Step-by-step explanation:

Answer:

41/140 or approximately 29.29%

Step-by-step explanation:

Divide 41 by 140 to get 0.29285714285, and round it to the nearest hundredths.

Answer:

Step-by-step explanation:

b= buttons

z= zips

b∩z'=41

b'∩z=48

b'∩z'=25

b=?

b= b∩z+b∩z' (law of total probability)

140=b∩z+b∩z'+b'∩z+b'∩z'  (if this is confusing draw a venn diagram)

140=b∩z+41+48+25

b∩z=26

26+41= 67

67/140= .478571429

Answer:

A. 2/5

B. 1/10

Step-by-step explanation:

First off we need to calculate the probability that the chosen child is a girl So to calculate this probability, we have to know the num. of girls which is seen in the table. There are a total of 8 girls.

Therefore the probability of a girl being chosen is equivalent to the number of girls/exact number of children = 8/20 = 2/5 simplified.

Now to find the probability that the chosen girl is left-handed.

The amount of left-handed girls there is only 2. therefore the probability of selecting a left-handed girl will be 2/20 = 1/10 simplified.

Set up a proportion:

2.4/480 = x/380

Cross Multiply:

480x = 912

Divide both sides by 480:

x = 1.9

Answer: 1.9 cm thick

Answer:

15/164

Step-by-step explanation:

5/8 ÷ 6 5/6 = 5/8 ÷ 41/6

                   = 5/8 x 6/41

                   = 30/328

                   = 15/164

Mean, mode and median does NOT reveal the variation (spread) of the data.

When analyzing data, the most sort for characteristics is the variation (spread) in the data.

The values of the data in a sample might be more closely near the mean in some data sets whereas in other data sets the values of the data might be spread out from the mean.

Common measure of variation or spread are the standard deviation, range, variance.

Find out more at: https://brainly.com/question/23754141

Answer:

22.5 pounds of mashed potatoes will be made

Answer: 12% of people responded as City D

Answer:

x – 4y = 20

Step-by-step explanation:

Put the line above in Slope Intercept Form

You can do that by solving for y

y = (1/4)x - 5

The slope, m above is 1/4

The perpendicular will a negative inverse slope m = -4

In Slope Intercept Form your perpendicular line starts below

y = -4x + b

Use the coordinates of the given point on the line (2, -5) to insert and solve for b

-5 = -4(2) + b

-5 = - 8 + b

Add 8 to both sides of the equation

-5 + 8 = b

3 = b

Finally your perpendicular line

y = -4x + 3

I hope this helps

Check my arithmetic

Answer:

×4y=20

Step-by-step explanation:

mark me as brainlist please

Answer:

0 hours.

Step-by-step explanation:

He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.

Answer:

105

Step-by-step explanation:

yeah-ya............. right?

Answer:

2

Step-by-step explanation:

the formula is y^2-y^1 over x^2-x^1

so the y coordinates here are 5 and -5

5--5=10

the x coordinates are -2 and 3

3--2=5

so we are left with 10/5

the answer is 2

hope this helped

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]

and

[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]

which means the sum we want is 14,950 - 1,196 = 13,754.

Answer:

156m^2

Step-by-step explanation:

label the shapes A and B) triangle=shape b and rectangle=shape a

shape a)10x12=120m^2

shape b)(12x6)/2=36m^2

add the values of shape a and b together to get the area of the shape)120+36=156m^2

Answer:

[tex]18[/tex]

Step-by-step explanation:

[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]

Answer:

300

Step-by-step explanation:

find what's 35 x 64 its 2240

then you add up 1800 and 120 and 20 n you get 1940

Then you subtract to see what's missing and you get

300

if you don't understand pls tell me

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

Answer:

-8^2=1/64 and -3^3=1/27

Step-by-step explanation:

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3rd option: A middle school student it more likely to own a phone than an elementary school student

Step-by-step explanation:

a/q

x + x - 3 + 2x - 9 = 36

4x - 12 = 36

4x = 36 + 12 = 48

x = 48/4 = 12

x = 12

so,

x = 12

x - 3 = 12 - 3 = 9

2x - 9 = 2(12) - 9 = 15

we know,

area = 1/2 × base × height

so,

→ 1/2 × 12 × 9

→ 1 × 6 × 9

→ 54 inches.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

x=-1/2

Step-by-step explanation:

using almighty formula

x= -b+or-√b²-4ac/2a

x=-1+ or -√-1+4(1)(1/4) divided by 2(1)

x=-1+ or -√-1+1 divided 2

x=-1+0 divided by 2

x=-1/2

Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).

Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]

Answer: hopefully this helps!