Solve the compound inequality for x and identify the graph of its solution.
x+7> 3 and x-5≤-1
OA. Solution: x<-4 or x ≥ 4
++
-5-4-3 -2 -1 0 1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
--
-5-4-3 -2 -1 0 1 2 3 4
OC. Solution: x>-4 and x≤ 4
+
H
-5 -4 -3 -2 -1 0 1
2
4 5
OD. Solution: x2-4 and x < 4
44
-5-4-3 -2 -1 0 1 2 3 4 5
3
5

Answer: B and C

Step-by-step explanation:

Let's start off with some definitions.

Supplementary Angles: Two angles that add up to 180°.

Right Angle: One angle equal to 90°. Also identified with a square on the angle.

Complementary Angles: Two angles that add up to 90°.

Straight Angle: A straight line, which equals to 180°.

Right off the bad, we can knock off A and D because there is no proof of those being seen.

The angle <EFH is a right angle because it is equal to 90°. If you pay close attention, the angles <EFG and <GFH both add up to 90°, making them complementary angles.

Therefore, the correct answers are B and C.

I hope this helps! Pls mark brainliest!! :)

Answer:

probability; ( of choosing a yellow marble)

7 yellow marbles + 10 orange marbles = 17 in total

if the no of yellow marbles is 7 therefore = ⁷/10

so that is the probability ⁷/10

Hope this helps

Answer:

≈5.3 feet,63.6 inches

Step-by-step explanation:

36+b²=64

-36 -36

b²=28

if we square root both sides we can get the radical/exact answer or the rounded one

radical: 4√7

rounded to the nearest tenth: 5.3 feet

Answer:

132

Step-by-step explanation:

180-48=132

Answer: 132

Step-by-step explanation:

let x = unknown amount

48 + x = 180

————————————————————————

Solve for x by subtracting 48 from both sides

48 - 48 + x = 180 - 48

x = 132

It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level.

A proportional confidence interval is provided by

[tex]\pi \pm z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

Where π is the sample proportion, z is the critical value and n is the sample size.

The margin of error is represented by

[tex]z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

As a result, smaller sample sizes result in wider margins of error. Option A has the greater margin of error in this scenario, so it most likely employed the smallest sample size.

Therefore we can conclude It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level. Option A is correct.

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Answer:

$ 1805

Step-by-step explanation:

2000 × 95%

= 1900

1900 × 95%

= 1805

Answer:

C: 80

Step-by-step explanation:

Take 600, and subtract it by the values of 200, 95, 65, and 160.

You get $80 left.

Hope this helps!

A function assigns the values. A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.

A function assigns the value of each element of one set to the other specific element of another set.

The given statement can be completed as given below.

A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.

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The equation of the line will be 3y + 8x = 165.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The given equation of the line is:-

3 x + 8 y = 4.

The slope of this line will be:-

3 x + 8 y = 4.

8y = -3x + 4

y = -3 /8x + ( 1 / 2)

y = mx + c

m = -3 / 8

Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.

So the slope of the line will be -8 / 3

The equation of the line passing through the point will be given as:-

y - y 1 = m ( x- x1)

y - (-9) = ( -8 / 3) ( x - 8)

Y + 9 = ( -8 / 3 ) ( x -8 )

3 y = -8x + 165

3y + 8x = 165

Therefore the equation of the line will be 3y + 8x = 165.

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Answer:

-5 + 12 i

Step-by-step explanation:

(2 + 3i)^2   = 4  + 6i  + 6i  + 9i^2

                 =   4   + 12 i   + 9(-1)

                     = - 5 + 12 i

The incorrect rounding for 53.864 is 53.87

The decimal to be approximated is as follows;

53.864

The first option rounded the decimal to 2 significant figures or a whole number.

The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.

The third option is approximated rightly to one decimal place.

The last option is rounded to the closes tens term.

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Answer:  [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y -3 = -\frac{1}{2}(x-2)[/tex]

Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

[tex]y-3=-\frac{1}{2}x + 1[/tex]

     [tex]y = -\frac{1}{2}x+4[/tex]

Therefore, the slope is [tex]-\frac{1}{2}[/tex].

=============================================

Work Shown:

[tex]\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\[/tex]

Let m = 2 so we can use this result later.

[tex]\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\[/tex]

Let n = 5 so we can use this result later.

Add the two results.

m+n = 2 + 5 = 7.0 is the final answer.

Answer:

1.5

Step-by-step explanation:

The average rate of change is 1.5

when x=0 , the value of y =1

when x=2 the value of y = 4

average rate of change formula = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

a= 0 , f(a)=1

b=2, f(b)= 4

4 - 1 / 2 - 0 = 3/2 = 1.5

The required value of  value of cospheta = √2/3​, here correct option is d) √2/3​.

The given equation is a Trignomatric Equation,
cos2pheta+cos^2pheta = 1

These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



cos2pheta + cos^2pheta = 1
Now we know that,

[tex]cos2x[/tex] = [tex]cos^2x -1[/tex]

so, substituting  cos2pheta = 2cos^2pheta - 1
2cos^2pheta-1 + cos^2peta = 1
3cos^2peta = 2
cos^2pheta = 2/3
cospheta = √2/3​

Thus, the required value for the cospheta = √2/3​.

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The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

As we know,

The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.

Richard has a debt of $45.

The negative of 45 value represents the debt.

-$45 = debt

Absolute value = |-45| = 45

Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

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ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.

A current liability is a liability that is payable within 12 months or one year.

On the other hand, a long-term liability is a liability that is payable after 12 months or one year.

Since $1 million is payable in each of the next five years, this implies $1 million is payable within one year while $4 million is payable after one year.

Therefore, ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.

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Answer:

6/12 or 1/2 or 50% or 0.5

Step-by-step explanation:

You have two 6-sided dice, and there are 3 odd numbers on each.

So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.

Answer:

Side b is approximately 4.00064cm or since the question asked for the answer to be up to one decimal point, your answer should be 4 cm

Step-by-step explanation:

First of all, this triangle isn't a right triangle. This can be proven if we assume that the triangle is a right triangle. If it is a right triangle, since, one of its angle is 30 degrees, we can find the last unknown angle to = 60 degrees. Therefore, using the side ratios of a 30-60-90 triangle, and since side b is the smallest side (because it has the smallest angle facing it), its length is one half the length of the hypotenuse, therefore making its length 4. However, the 30-60-90 ration also states that, in this case, side b * sqrt(3) should be equal to the side tha measure 7cm, which is clearly not true. Therefore, proving that this triangle isn't a rigt tirangle.

So now, let's get to solving the question. Since we found out that this isn't a right triangle, we have to use the law of cosines which states

a^2 = b^2 + c^2 - 2bc*cos(A) where A is the angle facing side a

If we do this, it comes to the solution that a is approximately 4.00064cm.

Therefore, side b measures to 4.00064cm.

In the imaged attached, the most precise name for ABCD  is known to be rhombus.

Looking at the shape attached, one can see that the diagonals of a parallelogram are said to be bisecting one other and if it cross at right angles, it is said to be a rhombus.

Using the Diagonal midpoints of AC and BD, the equation will be:

(A+C)/2

(B+D)/2

To find if the midpoints are similar, then:

A +C = (3, 5) +(6, 2) = (9, 7)

B +D = (7, 6) +(2, 1) = (9, 7)

Therefore, from the solution above, the midpoints of the diagonals are the same, making the shape to be a parallelogram.

In terms of Diagonal vectors, the shape will be perpendicular when the figure is a rhombus. So:

 AC = C -A = (6, 2) -(3, 5) = (3, -3)

BD = D -B = (2, 1) -(7, 6) = (-5, -5)

So the lengths will be (3√2 vs 5√2).

Note also that the dot-product of these values need to be zero if they are perpendicular and as such:

 AC·BD = x1·x2 +y1·y2 = (3)(-5) +(-3)(-5) = -15 +15 = 0

Therefore, one can say that the diagonals are known to different length and are perpendicular bisectors, so the shape above is regarded as rhombus.

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A ratio shows us the number of times a number contains another number. The maximum amount of purple that Susan can make is 25 ml.

A ratio shows us the number of times a number contains another number.

Susan makes purple paint by mixing red and blue paint in a ratio of 2:3. Now, if Susan wants to use the complete red paint then,

Purple paint she can make = 2/3 × 6/6 = 12 ml of red paint / 18 ml of blue paint

If Susan wants to use the complete blue paint then,

Purple paint she can make = 2/3 × 5/5 = 10 ml of red paint / 15 ml of blue paint

As per the first condition 18ml of blue paint is needed which is not possible, therefore, the second case is possible.

Thus, Susan needs to mix 10 ml of red paint and 15 ml of blue paint. Therefore, the amount of paint that Susan will make is,

Total Paint = 10ml + 15ml = 25ml

Hence, the maximum amount of purple that Susan can make is 25 ml.

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Step-by-step explanation:

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Answer:

$90

Step-by-step explanation:

The pair of triangle formed are congruent using the side-side-side congruency theorem.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

Since the opposite sides of a parallelogram are congruent, if the parallelogram is cut through the diagonal, the pair of triangle formed are congruent using the side-side-side congruency theorem.

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Answer:

i. {1,2,3,4,5,6,7,9}

ii. {1,3,5}

iii. {1,2,3,4,5,6,8,10}

Step-by-step explanation:

U= {1,2,3,4,5,6,7,8,9,10}

A= {1,3,5,7,9}

B= {1,2,3,4,5,6}

A U B = {1,2,3,4,5,6,7,9}

A n B = { 1,3,5}

A (prime) U B =

A(prime)= {2,4,6,8,10}

Therefore A(prime)= {1,2,3,4,5,6,8,10}

Considering the formulas for the area and the perimeter of the rectangle, the one with the desired measures is given as follows:

a length of 3 units and a width of 4 units.

Considering a rectangle of length l and width w, we have that:

For a rectangle with a length of 3 units and a width of 4 units, we have that:

Hence it is the correct option.

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That shaded region area we need

Area

Answer:3/20

Step-by-step explanation:

Fraction of total area mowed = (3/5) + (1/4) = 17/20

Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20

Answer:

área is 15 perimeter is B

Step-by-step explanation:

x=66°

180-118=62°

180-52+62=66°

hope this helps

Answer:

pi/2 units to the left

Step-by-step explanation:

the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left