Carter is choosing clay for his pottery class. Clay is sold in three different-shaped solids at the craft store. The dimensions of each of these shapes is shown below.

Answer:

36

Step-by-step explanation:

45*(9/5)=81(The whole score)

81-45=36(the second half score)

Answer:

36

Step-by-step explanation:

Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.

Answer:

≈ 94.9 mi²

Step-by-step explanation:

The area (A) of Δ WXY can be calculated as

A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW

∠ W = 180° - (40 + 21)° = 180° - 61° = 119°

Calculate WX using the Sine rule, that is

[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )

WX sin21° = 11 sin40° ( divide both sides by sin21° )

WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus

A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )

Answer:

The exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Answer:

B

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 )

Then the sum of the roots = - [tex]\frac{b}{a}[/tex]

A 2x² - 3x + 6 = 0

with a = 2 and b = - 3

sum of roots = - [tex]\frac{-3}{2}[/tex] = [tex]\frac{3}{2}[/tex] ≠ 3

B - x² + 3x - 3 = 0

with a = - 1 and b = 3

sum of roots = - [tex]\frac{3}{-1}[/tex] = 3 ← True

C [tex]\sqrt{2}[/tex] x² - [tex]\frac{3}{\sqrt{2} }[/tex] x + 1

with a = [tex]\sqrt{2}[/tex] and b = - [tex]\frac{3}{\sqrt{2} }[/tex]

sum of roots = - [tex]\frac{-\frac{3}{\sqrt{2} } }{\sqrt{2} }[/tex] = [tex]\frac{3}{2}[/tex] ≠ 3

D 3x² - 3x + 3 = 0

with a = 3 and b = - 3

sum of roots = - [tex]\frac{3}{-3}[/tex] = 1 ≠ 3

Thus the equation with sum of roots as 3 is B

Answer:

Quantity of fuel is 24 L, based on the model S=2400/Q when S=100

Step-by-step explanation:

If the output power of the car remains constant, the speed would reduce as the masses increase, which is the shown in the observed data.

Hence S does NOT vary directly with the mass and quantity, but varies INVERSELY with the mass and fuel (which has a mass).

Many models are possible to fit the results.  Product models with a single constant k

S(m,q) = kmq  and S(m,q) = k/mq  

do not fit both observation, hence rejected.

A possible  model with two constants is shown below

S(m,q) = k1/m + k2/q..................(1)

1.  m=220, q=30 =>  80 = k1/220 + k2/30 ..........(2)

2. m=300, q=40 =>  60 = k1/300 + k2/40 ..........(3)

Solve system (2) and (3) gives k1=0, k2 = 2400.

So it appears that the speed is independent of the mass (m) [unlikely], but inversely proportional to the quantity (q) of fuel, giving

S(q) = 2400/q

When speed = 100 km/h, and mass = 250 kg,  substitute

100 = 2400/q => q=2400/100 = 24

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

Answer:

[tex]\sqrt[12]{55296}[/tex]/2

Step-by-step explanation:

[tex]\sqrt[4]{6}[/tex]/[tex]\sqrt[3]{2}[/tex]=1.2422

[tex]\sqrt[12]{27}[/tex]/2=0.66 <-- not matching with the top expression.

[tex]\sqrt[4]{24}[/tex]/2=1.11<--not matching with the top expression.

[tex]\sqrt[12]{55296}[/tex]/2=1.2422<-- matches!!

[tex]\sqrt[12]{177147}[/tex]/3=0.91<-- not matching with the top expression.

Answer:

It is C) ^12 square root 55296/2

Step-by-step explanation: I checked with my calculator.

Answer:

6/13

Step-by-step explanation:

Of the 13 students who do not own a graphing calculator, 6 are girls.  The probability is 6/13.

Answer:

8x2-30x+27 has one root (9/4) the square of the other (3/2)

Step-by-step explanation:

8x2+30x+27 = (2*x+3)*(4*x+9)  => solution = {-3/2, -4/9}

One is not the square of the other because squares are positive.

8x2-30x+27 = (2*x-3)*(4*x-9)  =>

solution = {3/2, 4/9}   since (4/9 = (3/2)^2, therefore the preceding question is correct.

Answer:

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

[tex]7x + 24 = 3x + 92[/tex]

Move variable to L.H.S and change its sign

[tex]7x - 3x + 24 = 92[/tex]

Move constant to R.H.S and change its sign

[tex]7x - 3x = 92 - 24[/tex]

Calculate

[tex]4x = 68[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{68}{4} [/tex]

Calculate

[tex]x = 17[/tex]

Replacing value

<A = [tex]7x + 24[/tex]

[tex] = 7 \times 17 + 24[/tex]

[tex] = 119 + 24[/tex]

[tex] = 143[/tex]

hope this helps...

Answer:

Answer D

Step-by-step explanation:

Triangle XYZ  is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.

Answer:

294.5 m²

Step-by-step explanation:

portion of circle is 360 - 130 = 230

πr²*x/360 = π(11.1)²*230/360 = 247.3

then add the non-right triangle area, 1/2ab sinC

1/2(11.1)(11.1) sin 130 = 47.2

247.3 + 47.2 = 294.5 m²

Answer:

The probability is 0.0053861

Step-by-step explanation:

To answer this question, the best thing to do is to put the wordings in a mathematical expression.

Thus what we have is;

P(z < 2.55)

Now since we have the mathematical expression, the next thing to do here is to use the standard normal distribution table.

From the standard normal distribution table, we can get the probability value that equals the given z-score value

Mathematically this is;

P(z<2.55) = 0.0053861

Answer:

12 feet

Step-by-step explanation:

It's a classic 5-12-13 triangle or you can used the Pythagorean Theorem:

[tex]13^{2} -5^{2}=x^{2} \\169-25=x^{2} \\144=x^{2} \\12=x[/tex]

Answer:

The tree is 12 about feet high.

Step-by-step explanation:

The way to find the answer is with Pythagorean Theorem.

The ladder is 13 feet and is the hypotenuse or c.

13^2

The 5 feet away from the tree is one of the two legs or a

5^2

We are trying to find the second leg, b.

b^2

Now you write the formula:

c^2=a^2+b^2

Then insert the numbers:

13^2=5^2+b^2

The isolate the variable:

Subtract 5^2 on each side

13^2 - 5^2=b^2

Now flip the expression so the variable is on the left side:

b^2=13^2 - 5^2

Simplify:

b^2=169 - 25

Simplify:

b^2= 144

Square root both sides to get the variable alone:

srt b^2 is b

srt 144 is 12

b=12

Don't forget units!

The tree is 12 feet high

Answer:

[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]

So the answer is 23.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

"Perimeter of a polygon is the sum of measures of all the sides of the polygon."

By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

                = 3x + 4 + (x + 4) + 4

                = 4x + 12

Hence, Perimeter = (4x + 12)

Answer:

The mean temperature for March is higher than January's mean.

Step-by-step explanation:

I took the test. trust me and you will be set free ;D

Answer:

17,960

Step-by-step explanation:

Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.

First of all, we will find the mean of the given data.

[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]

Or

Mean = (200+130+400+500+345)/5

Mean = 1575/5 = 315.

Second step is to subtract the mean from each book cost;

(200-315) + (130-315) + (400-315) + (500-315) + (345-315)

(-115)+(-185)+85+185+30

Next you square the above deviation;

[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]

Then, divide the above by the average which is 5 in this case.

[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]

Hence, the value of the variance is 17,960.

Answer:

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points is found by using the formula

[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]

Where (x1 , y1) and ( x2 , y2) are the points

The distance between (-6, -2) and (0, -1) is

[tex] \sqrt{ {( - 6 - 0)}^{2} + {( - 2 + 1)}^{2} } \\ \\ = \sqrt{ {( - 6})^{2} + {( - 1)}^{2} } \\ \\ = \sqrt{36 + 1} \\ \\ = \sqrt{37} \: units[/tex]

Hope this helps you

Answer: √37 units

hope that helped!

Answer:

a

Step-by-step explanation:

Given a quadratic equation in standard form ax² + bx + c = 0 (a ≠ 0 )

Then the discriminant b² - 4ac determines the nature of the roots.

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then no real roots

Given

2x² + 8x + 3 = 0 ← in standard form

with a = 2, b = 8, c = 3 , then

b² - 4ac = 8² - (4 × 2 × 3) = 64 - 24 = 40

Since b² - 4ac > 0 then 2 real and distinct roots → a

Answer:

a

Step-by-step explanation:

Answer:

The correct option is;

Choice A 4·(n - 3) - 6·n

Step-by-step explanation:

The given expression is

Which gives;-6·n+(-12)+4·n

- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)

The options given are Choice A and/or Choice B;

(Choice A) 4·(n - 3) - 6·n

Which can be simplified as follows;

4·(n - 3) - 6·n = 4·n - 12 - 6·n

Which gives;

4·n - 12 - 6·n = 4·n  - 6·n- 12 = -2·n - 12 = -(2·n + 12)

Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n

For choice B, we have;

2·(2·n - 6) which gives;

2·(2·n - 6) = 4·n - 12

Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n

Which gives the correct option as Choice A.

4(n-3)-6n

Khan academy I got this right

Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  [tex]3-2|.5x+1.5|=2[/tex] then

[tex]-2|.5x+1.5|=-1[/tex]  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

[tex]|.5x+1.5|=.5[/tex]

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

Solving the first one:

.5x = -1 so

x = -2

Solving the second one:

.5x = -2 so

x = -4

We want to find the other solution of the given absolute value equation.

The other solution is x = -4

We know that:

3 - 2*|0.5*x + 1.5| = 2

It has one solution given by:

- 2*|0.5*x + 1.5| = 2 - 3 = -1

|0.5*x + 1.5| = 0.5

0.5*x + 1.5 = 0.5

0.5*x = 0.5 - 1.5 = -1

0.5 = -1/x

Then we have x = -2

To get the other solution we need to remember that an absolute value equation can be written as:

|x - a| = b

or:

(x - a) = b

(x - a) = -b

Then the other solution to our equation comes from:

|0.5*x + 1.5| = 0.5

(0.5*x + 1.5) = -0.5

0.5*x = -0.5 - 1.5 = -2

x = -2/0.5 = -4

The other solution is x = -4

If you want to learn more, you can read:

https://brainly.com/question/1301718

here is an example of a fraction that equals a whole number

2/2 would equal a whole number. The bottom number is 2. This means the whole is cut into two equal pieces (halves).

The top number is 2, so we are counting two-halves.

After shading two-halves, you see that the whole circle is shaded. Two-halves is equivalent to 1.

You would plot 2/2 at the same location as the whole number 1.

Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

Answer:

[tex]\sqrt{3}x^2y+x^3-x[/tex]

Step-by-step explanation:

In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.

The other expressions have exponents that are negatives, rational or the exponent is the same variable.

Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies