If Toni wants to grow flowers in her garden, she will need a special type of top soil. If she wants the topsoil to be 1 foot deep, how much topsoil is needed? Remember, the length of the garden is 44 feet and the width is 2 feet.

The intervals that satisfy the given trigonometric Inequality are; 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π

We are given the trigonometric Inequality;

2 sin(x) + 3 > sin²(x)

Rearranging gives us;

sin²(x) - 2 sin(x) - 3 < 0

Factorizing this gives us;

(sin(x) - 3)(sin(x) + 1) < 0

Thus;

sin(x) - 3 = 0 or sin(x) + 1 = 0

sin(x) = 3 or sin(x) = -1

sin(x) = 3 is not possible because sin(x) ≤ 1.

Thus, we will work with;

sin(x) = -1 for the interval 0 ≤ x ≤ 2π radians.

Then, x = sin⁻¹(-1)

x = 3π/2.

Now, if we split up the solution domain into two intervals, we have;

from 0 ≤ x < 3π/2, at x = 0. Then;

sin²(0) - 2 sin(0) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 0 ≤ x < 3π/2 is true.

From 3π/2 < x ≤ 2π, take x = 2π. Then;

sin²(2π) - 2 sin(2π) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 3π/2 < x ≤ 2π is also true.

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Answer:

c. (x+7)^2+(y-6)^2=50

Step-by-step explanation:

The equation of a circle is; (x+7)²+(y-6)² = 50

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The points on the circle are L(-2, 11) and centre is N(-7, 6)

Find the radius,

D = √(-7+2)²+(6-11))²

D = √25+25

D = √50

We know that, the equation of a circle is given by,

( x − a )² + ( y − b )² = r² , where ( a , b ) represents the centre of the circle,

Here, centre is N(-7, 6)

Therefore, the equation of a circle is;

(x+7)²+(y-6)² = 50

Hence, the required equation is (x+7)²+(y-6)² = 50

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Answer:

D

Step-by-step explanation:

angle ABC=angle ADC

angle BAC=angle DCA

AC=CA

Answer: andres is 5 years old pls banned him he called e a mean word like the N word

Step-by-step explanation:

The probability that the second ball drawn is black is 4/10 = 2/5

There are two cases. The case where the first ball is red is the first one.

The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.

p = 3/5

Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:

q = 2/4 = 1/2.

So the joint probability is:

P = (3/5)*(1/2) = 3/10.

Then we have the case where both balls are black, the probabilities now are:

p = 2/5

q = 1/4

So the joint probability is:

P = (2/5)*(1/4) = 1/10

The total probability is the sum of the two above:

probability = 3/10 + 1/10 = 4/10.

The probability that the second ball drawn is black is 4/10 = 2/5

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The equation of the scatter plot is (a) y = 100x + 2

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{102 - 2}{1 - 0}[/tex]

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

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Answer:

downwards

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

for

f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then

the parabola opens downwards

Answer:

let say the number is x, then 30x÷100=78, x=260...from this we can calculate 95 percent of 260 which is equal to 247

The 95 percentage of the number is A = 247

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the number be represented as n

Now , We can set up two equations based on the given information

30 percentage of the number is 78 ,

So , 0.3 ( n ) = 78

0.65 ( n ) = 169

Solving for n in the first equation, we get:

n = 260

Substituting n = 260 into the second equation, we can check that it is true:

0.65(260) = 169

Now, we can find 95% of the number by multiplying it by 0.95

0.95 x 260 = 247

Hence , 95% of the number is 247

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The match of the expressions are:

The numbers are products of 10.

This means that the numbers can be represented as exponents, where the base is 10 and the exponent is the number of zeros.

Using the above highlight, we have:

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Answer:

-2

-1

-2

-3

Step-by-step explanation:

For an odd function, f(-x) = -f(x).

f(2) = 2; f(-2) = -2

f(3) = 1; f(-3) = -1

f(4) = 2; f(-4) = -2

f(6) = 3; f(-6) = -3

Answer:

a) they are corresponding angles

b) B=55° (proven)

C=55 (Angles opposite equal sides)

B+C+X=180° ( sum of angles of a triangle)

55°+55°X=180

110°+X=180°

X=180°-110°

X=70°

Answer:

[tex]\displaystyle x=-\frac{9}{2},\:x=-4[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{x+6}-\frac{1}{x+3}=2\\\\\frac{2(x+3)}{(x+6)(x+3)}-\frac{(x+6)}{(x+6)(x+3)}=2\\ \\\frac{(2x+6)-(x+6)}{(x+6)(x+3)}=2\\ \\\frac{x}{(x+6)(x+3)}=2\\ \\x=2(x+6)(x+3)\\\\x=2(x^2+9x+18)\\\\x=2x^2+18x+36\\\\0=2x^2+17x+36[/tex]

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-17\pm\sqrt{(17)^2-4(2)(36)}}{2(2)}\\\\x=\frac{-17\pm\sqrt{289-288}}{4}\\\\x=\frac{-17\pm\sqrt{1}}{4}\\\\x=\frac{-17\pm1}{4}\\ \\x_1=\frac{-18}{4}=-\frac{9}{2},\: x_2=\frac{-16}{4}=-4[/tex]

Answer:

Circumference: 25.12m

Area: 50.24 [tex]m^{2}[/tex]

Step-by-step explanation:

Formula for circumference of a circle: C=[tex]\pi d[/tex] or C=[tex]2\pi r[/tex] since the diameter is double the radius

C=3.14*2*4=3.14*8=25.12

Formula for area of a circle: A=[tex]\pi r^{2}[/tex]

A=3.14*[tex]4^{2}[/tex]=3.14*4*4=3.14*16=50.24

The time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

The time will be calculated as:-

First, we will calculate the speed to cover the distance of Brother's house:-

Speed = Distance / Time

Speed = 481 / 13 = 37 miles per hour.

Now the time to cover a distance of 814 miles will be calculated as:-

Time = Distance / Speed

Time = 814 / 37

Time = 22 hours

Therefore the time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

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Answer: A

Step-by-step explanation:

[tex]$$Given $m \angle A=9 x-7, \quad m \angle B=7 x-9, m \angle C=28-2 x$ \\For the triangle $m \angle A+m \angle B+m \angle c=180$$$\begin{aligned}&\Rightarrow(9 x-7)+(7 x-9)+(28-2 x)=180 \\&\Rightarrow 9 x+7 x-2 x-7-9+28=180 \\&\Rightarrow 14 x=180-28+16 \\&\Rightarrow 14 x=168 \\&\Rightarrow \quad x=12\end{aligned}[/tex]

[tex]$$Therefore,\\&m \angle A=9 x-7=9 \times 12-7=101^{\circ}\\&m \angle B=7 x-9=7 \times 12-9=75^{\circ} \\&m \angle C=28-2 x=28-2 \times 12=28-24=4^{\circ}\\[/tex]

[tex]$$Since $m \angle A=101^{\circ}$ so $B C$ is the longest side of a triangle $\triangle A B C$ \\\\Since $m \angle C=4^{\circ} S 0$ SB is the shortest side of a triangle $\triangle A B C$\\\\So listing the sides in $\triangle A B C$ from shortest to longest is: (a) $\overline{A B}, \overline{A C}, \overline{B C}$[/tex]

Answer:

what happened to you brooooooooo

Answer:

f(x)

Step-by-step explanation:

f(x) is a little represented number after solving for x but

f(x)=2x-3 is more bigger

Answer:

57

Step-by-step explanation:

9+6(2^2+4)

Calculate 2 to the power of 2 and get 4.

9+6(4+4)

Add 4 and 4 to get 8.

9+6×8

Multiply 6 and 8 to get 48.

9+48

Add 9 and 48 to get 57.

57

Answer:

Step-by-step explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]

Convert the mixed fractions to fractions:

[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]

Subtract 19/4 from both sides:

[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]

[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.

Answer:

2 out of seven or 2/7 or 28.5%

Step-by-step explanation:

there are two "yeses" out of 7 total choices

Using exponential function concepts, it is found that the first graph to the similar problem represents an exponential decay.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

As x goes to positive infinity, a exponential function approaches a constant, hence a graph similar to the first one of the similar problem linked below represents exponential decay.

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Answer:

1000

Step-by-step explanation:

Hello!

10³ can be expanded to 10 x 10 x 10

Multiplying it out, we get 1000.

When multiplying by 10 you basically add a zero to the end, so we add 3 zeroes in total, which gives us 1000.

Warning! [tex]x^y[/tex] is not [tex]x*y[/tex]. A very common error.

Instead, picture it as we are multiplying "x" by itself for "y" number of times.

I appreciate your kind comments!

Their property tax would be =$ 26,460

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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Answer:

1L container as the capacity of the sink is obviously at least 1L and most probably much more than 1L

Step-by-step explanation:

letter C

Answer:

B

Step-by-step explanation:

Divide y by x for each ordered pair:

2/4 = 1/2

3/6 = 1/2

5/10 = 1/2

7/14 = 1/2

All ratios are equal, so it is proportional.

Answer: B

Answer:

b

Step-by-step explanation:

mark brainliest

Answer:

8th graders i think is the answer

Step-by-step explanation:

Answer:

The 9th grades had given a higher percentage because even without converting to a percent, you can tell just by seeing that there is a 1 number difference if you would try to add.