The distance Ab round to the nearest tenth?

So far she worked 4 days at 5 1/2 hours a day for a total of 22 hours.

22 hours x $8.50 = $187

Subtract that from the cost of the computer:

899-187 = $712

She needs $712 more.

Amount she makes per shift: $8.50 x 5 1/2 hours = $46.75

Divide what she needs by amount per shift:

712 / 46.75 = 15.22 shifts

She needs to work 16 more shifts.

Answer:

It results in no solution.

Step-by-step explanation:

If you subtract x on both sides, this will leave you with 0 ≠ 3. The result is no solution. This is why it is contradictory.

Answer:

Step-by-step explanation:

Find the midpoint of a segment. It is geometry please help.

Answer:

Step-by-step explanation:

Hemisphere Volume = (2/3) * PI * radius^3

sphere radius^3 = Hemisphere Volume / ((2/3) PI)

sphere radius^3 = 62,617 / 2.0943951024

sphere radius^3 = 29,897.4152147556

sphere radius = 31.0368674154

sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeters)

Answer:

62.1

Step-by-step explanation:

→ Set up an equation

[tex]\frac{2}{3}[/tex]  × π × r³ = 62617

→ Divide both sides by π

[tex]\frac{2}{3}[/tex]  × r³ = 19931.61014

→ Divide both sides by  [tex]\frac{2}{3}[/tex]

r³ = 29897.41521

→ Cube root both sides

r = 31.03686742

→ Double the answer to find the diameter

31.03686742 × 2 = 62.1

Answer:

C.

Step-by-step explanation:

16,299.99*0.065=1059.50

Answer:

x = 11/10

Step-by-step explanation:

5(2x - 1) = 6

Distribute

10x -5 = 6

Add 5 to each side

10x-5+5 = 6+5

10x = 11

Divide each side by 10

10x/10 = 11/10

x = 11/10

Answer:

distance=√[(x2-x1)²+(y2-y1)²]

√[{6-(-2)}²+ (-8-(-4))²]

√(64+16)

√[100]

10

Points given

Distance:-

[tex]\\ \sf \longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf \longmapsto \sqrt{(-8+4)^2+(6+2)^2}[/tex]

[tex]\\ \sf \longmapsto \sqrt{(-4)^2+(8)^2}[/tex]

[tex]\\ \sf \longmapsto \sqrt{64+16}[/tex]

[tex]\\ \sf \longmapsto \sqrt{80}[/tex]

[tex]\\ \sf \longmapsto 8.4[/tex]

Answer:

6.8 feet

Answer From Gauth Math

Width = area/length = 22.6/5.2 = 113 ≈/26

Diagonal = √[length² + width²] ≈ √23.0 feet

9514 1404 393

Answer:

  3. 151°

  4. 42°

Step-by-step explanation:

3. The measure of the supplement is found by subtracting the angle from 180°.

  supplement of 29° = 180° -29° = 151°

__

4. The total of angles in a triangle is 180°, so the third one can be found by subtracting the other two from 180°.

  third angle = 180° -128° -10° = 42°

Answer:

x = 8

Step-by-step explanation:

undefined slope => m = oo

passes (8, -3) => (x1, y1)

the equation is : y-y1 =m(x-x1)

y+3 = oo(x-8)

=> x -8 = (y+3)/oo

x -8 = 0

x = 8

so, the equation is: x = 8

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

Answer:

Since Both the Blue and Yellow cost the same..

Represent the cost per gallon with x

4 gallons of Blue would cost 4x

3 gallons of Yellow would cost 3x

Total cost = $105

Therefore

4x + 3x = 105 ✅ Is a correct statement.

7x = 105 ✅ Is also another correct statement.

These two are the only correct statements I'm seeing there.

Option B is Incorrect because Price per gallon is

105/7 = $15.

D is wrong by simple Logic.

E is also wrong.

Check the Question you typed to see if You made any Errors...

If I'm wrong also... By all Means...Correct Me.

Have a great day!

Answer: 45° and speed of light in prism 2×10⁸m/s

Step-by-step explanation:

The minimum deviation of the equilateral glass prism will form 60° angle.

So angle of incidence = 3/4×60

= 3 ×15

= 45°

Minimum deviation = δmin

= 30

After finding the value of μ using prism law

μ = 1.41

Speed of light will be 2×10⁸m/s

Must click thanks and mark brainliest

Step-by-step explanation:

we have denominators 5, 6 and 30.

the smallest number that is divisible by all 3 is clearly 30.

so, we have to multiply everything by 30 to eliminate the fractions.

180/5 + 60/5 x = 89 + 210/6 x + 30/6 =

36 + 12x = 89 + 35x + 5

-58 = 23x

x = -58/23

Answer:

Quotient is x² - x - 2

Remainder is 0

Answer:

Step-by-step explanation:

Use ^2 to indicate ²

y = (x-3)² + 8

This is an up-opening parabola.

Vertex (3,8)

Axis of symmetry: x = 3

Domain: ℝ

Range: [8,+∞)

Answer:

see below

Step-by-step explanation:

{1} x+(y-z)=(x+y)+z   associative property of addition

2} (pq) * 1 = pq D  multiplicative identity

3} (5x)y-5(xy) H   associative property of multiplication

4} a+5b = 5b + a   commutative property of addition

5} a+0=a  I   additive identification property

6} gh - hg   C commutative property of multiplication

7} 8 + (-8)=0   A  additive inverse property

8} x * 0 = 0   J   zero property

9} 5 * (1/5)=1   B   multiplicative inverse property

10} 2(a+b)=2a * 2b   G  distributive property

Let's see

#a

x+(y-z)=(x+y)+z

#b

(pq) * 1 = pq

#c

(5x)y-5(xy)

#d

a+5b = 5b + a

#e

a+0=a

#f

gh - hg

#g

8 + (-8)=0

#h

x * 0 = 0

#i

5 * (1/5)=1

#j

2(a+h)=2a * 2b

Answer:

The difference quotient is the quotient of the difference of the function values, f(x + h) - f(x), and the difference of the input values, (x + h) - x.

Given the function f(x) = -x + 21.

The different quotient will be : [tex]\frac{f(x+h)-f(x)}{(x+h)-x} =\frac{f(x+h)-f(x)}{h} = \frac{(-(x+h)+21)-(-x+21) }{h} = \frac{-x-h+21+x-21}{h} = \frac{-h}{h} = -1[/tex]

We see that given the function f(x) = -x+21 and two input values of x and x + h, the difference quotient is -1.

Answer:

D

Step-by-step explanation:

Answer:

5, - 1, - 3, - 5, - 11

Step-by-step explanation:

The equation of the line is y=-4x-11. The y values corresponding to x are 5, - 1, - 3, - 5, - 11

Answer:

y = -3    m = -1     b = 3

Step-by-step explanation:

-3y=3x-9

To isolate the y variable, divide both sides by -3.

y = -1x + 3

y = -3

m = -1

b = 3

The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The mean and the variance are:

[tex]\mu = \frac{nk}{N}[/tex]

[tex]\sigma^2 = \frac{nk(N-k)(N-n)}{N^2(N-1)}[/tex]

We have that:

5 + 7 = 12 rocks, which means that [tex]N = 12[/tex]

9 are chosen, which means that [tex]n = 9[/tex]

7 are granite, which means that [tex]k = 7[/tex]

Question a:

[tex]E(X) = \mu = \frac{9\times7}{12} = 5.25[/tex]

[tex]Var(X) = \sigma^2 = \frac{9\times7(12-7)(12-9)}{12^2(12-1)} = 0.5966[/tex]

Thus:

[tex]E(X) = 5.25, Var(X) = 0.5966[/tex]

Question b:

Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:

[tex]P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,12,9,7) = \frac{C_{7,4}*C_{5,5}}{C_{12,9}} = 0.1591[/tex]

[tex]P(X = 5) = h(5,12,9,7) = \frac{C_{7,5}*C_{5,4}}{C_{12,9}} = 0.4773[/tex]

[tex]P(X = 6) = h(6,12,9,7) = \frac{C_{7,6}*C_{5,3}}{C_{12,9}} = 0.3181[/tex]

Thus

[tex]P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1591 + 0.4773 + 0.3181 = 0.9545[/tex]

So P(X < 6) = 0.9545.

Question c:

5 of basaltic and 4 of granite: 0.1591 probability.

7 of granite is P(X = 7), in which

[tex]P(X = 7) = h(7,12,9,7) = \frac{C_{7,7}*C_{5,2}}{C_{12,9}} = 0.0455[/tex]

0.1591 + 0.0455 = 0.2046, thus:

P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

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Answer:

A. 200 square inches

Step-by-step explanation:

First, use Pythagorean Theorem to find the base of each triangle.

[tex]a^2+b^2=c^2\\20^2+b^2=(28\frac{1}{4})^2\\400+b^2=798.0625\\b^2=398.0625\\b=\sqrt{398.0625}\\b=19.9515037[/tex]

Finally, use the area of a triangle formula to find the area of each triangle.

[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(19.9515037)(20)\\A=199.515037[/tex]

Therefore, the area of each triangle is approximately 200 in².

The area of each triangle in square inches is 200 square inches.

The area of triangle is defined as the region enclosed by its perimeter or the three sides of triangle.

Mathematically,

Area of triangle = 1/2(base*height)

Now given that,

Base of the triangle, B = 20''

Hypotenuse of the triangle, H = 28(1/4)'' = 28.25''

So, Height of the triangle, P = [tex]\sqrt{H^2 - B^2}[/tex]

or,  Height of the triangle, P = [tex]\sqrt{28.25^2 - 20^2}[/tex]

or,  Height of the triangle, P = [tex]\sqrt{398.0625} }[/tex]

or,  Height of the triangle, P = 19.95 inches

Finally, use the area of a triangle formula to find the area of each triangle.

Area of triangle = 1/2*(BasexHeight)

⇒Area of triangle = 1/2*(20x19.95)

⇒Area of triangle = 1/2*399

⇒Area of triangle = 199.5 square inches

or, Area of triangle ≈ 200 square inches.

Hence, The area of each triangle in square inches is 200 square inches.

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Answer:

Hello,

What is tan 30°?

[tex]tan(30^o)=\dfrac {\sqrt{3} }{3}[/tex]

Step-by-step explanation:

[tex]sin(30^o)=\dfrac{1}{2} \\\\cos(30^o)=\dfrac{\sqrt{3} }{2} \\\\\\tan(30^o)=\dfrac{sin(30^o)}{cos(30^o)} \\tan(30^o)=\dfrac{\dfrac{1}{2} } { \dfrac{\sqrt{3} }{2} }\\\\ =\dfrac {1*2}{2*\sqrt{3} }\\\\ =\dfrac {\sqrt{3} }{3}[/tex]

The value of tan 30° is 1/√3

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Tan 30° = sin 30° / cos 30°

We know that, sin 30° = 1/2

cos 30° = √3/2

Therefore,

Tan 30° = 1/2 ÷ √3/2

Tan 30° = 1/2 x 2/√3

Tan 30° = 1/√3

Hence, the value of tan 30° is 1/√3

Learn more about tangent of an angle, click;

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Answer:

Step-by-step explanation:

x+y = 67

2x-y = 38

Add the equations together

3x = 108

x = 36

y = 67-x = 31

Answer:

710/3×31/10

[tex]reduce \: fraction \: to \: the \: lowest \\ term \: by \: canceling \: the \: greatest \\ common \: factor \: \\ = \frac{71 \times 31}{3} \\ calculate \: the \: first \: two \: terms \\ = \frac{2201}{3} \: is \: the \: answer[/tex]

Answer:

65 feet and 2 inches

Step-by-step explanation:

to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12  which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.

Answer:

1.) 2.06

2.) 0.43

3.) 0.52

4.) 5.06

5.) 0.51

6.) 4.2

7.) 2.02

8.) 0.7

9.) 0.6

10.) 3.05

11.) 1.3

12.) 0.2

13.) 0.5

14.) 0.4

15.) 0.02

16.) 0.07

17.) 6.01

18.) 3.2

19.) 0.53

20.) 1.2

Step-by-step explanation:

Simple addition with decimals. If you have a whole number like 5, with a decimal like 0.07, 5+0.07 would be 5.07. 5 would take the spot of 0 in the ones place and .07 would remain. If you have 0.10+0.8, it would be 0.9 as your answer since we make 0.8 to 0.80 or 0.10 to 0.1 and add the two together. Hope this helped!

Answer:

Meena's age is 5 and her fathers age is 30 years old.

Step-by-step explanation:

Let's assume Meena's age to be x years old.

Meena's dads present age is 6x.

5 years from now Meena's age will be (1/3)rd of her dads age

x+5= 1/3 * 6x

x+5=2x

x=5.

Meenas present age is 5 years and her dads age is 30 years

Answer:

Hello,

Step-by-step explanation:

[tex]mes\ \widehat{C}=180^o-82^o - 52^o=46^o\\\\Using\ law\ of\ sinus:\\\dfrac{AB}{sin(C)}= \dfrac{AC}{sin(B)} \\\\\dfrac{450}{sin(46^o)}= \dfrac{AC}{sin(52^o)} \\\\AC=\dfrac{450*sin(52^o)}{sin(46^o)}= 492.9587..(ft)\approx{493(ft)}[/tex]