Which of the following expressions is equal to -3X2-27?

Answer:

21 units^2

Step-by-step explanation:

Dimensions of rectangle are 3 by 6 units; therefore the area is 18 units^2.

Dimensions of triangle:  base is 3 and height is 2; therefore the area of this triangle is (1/2)(base)(height) = (1/2)(3)(2) = 3 units^2

The total area of this figure is (18 + 3) units^2, or 21 units^2

The Area of rectangle is the product of its width to its length.

i.e., Area of rectangle= length x width

Given:

Rectangle:

length= 6 units

width = 3 units

So, area of rectangle= l x w

                                  = 6x 3

                                   = 18 units²

Now, Triangle:

Base= 2 units, height = 3 units

area of triangle= 1/2 x b x h

                        = 1/2 x 2 x 3

                         = 3 units²

now, area of figure =  area of rectangle + area of triangle

                                 = 18+ 3 = 21 unit²

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Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Step 1: Multiply 2 together

1/3(3/5) = 3/15

Step 2: Multiply again

3/15(9/4) = 27/40

Step 3: Simplify

(Divide both top/bottom by 2)

27/2 = 9

40/2 = 20

9/20

Answer:

The correct option is:

A stratified sample from cities and towns in the market area.

Step-by-step explanation:

Stratified sampling is a method of sampling for a population which usually divided into smaller groups. These groups are known as strata. For research purposes, the size of the population can be too large for a researcher, and will require a lot of time and money to complete the research, which happens in this case. So for ease, the researcher may divide the population in small groups strata, which are easy to handle.

Answer:

A stratified sample from cities and towns in the market area.

Step-by-step explanation:

Took the quiz, give the other dude brainliest tho

Answer:

gºf(x)​ = [tex]3x^2 -1[/tex]

Step-by-step explanation:

Given

f(x) = x2

g(x) = 3x - 1

To find

gºf(x)​

To find  gºf(x)​ we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)

lets do that

g(x) = 3x - 1

gºf(x)​ = 3(f(x)) -1

gºf(x)​ = [tex]3x^2 -1[/tex]

Thus, value of  gºf(x)​ is   [tex]3x^2 -1[/tex].

[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]

Answer:

4

Step-by-step explanation:

[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]

Hope this helps!

Answer:

Substitute the value of 7 into the variable x. Then solve the equation.

f(7) = 10 - 2(7)

f(7) = 10 - 14

Answer:

∠ ABC = 90°

Step-by-step explanation:

∠ ABC is the angle in a semi circle and is right, that is

∠ ABC = 90°

The angle of ABC is 90 degrees.

Using circle theorem,

The angle subtended by an arc at the centre is twice the angle subtended

at the circumference.

Therefore,

1 / 2 ∠O = ∠ABC

∠O = 180 (angle on a straight line)

Therefore,

∠ABC = 1 / 2 × 180

∠ABC = 180 / 2

∠ABC = 90°

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Answer:

B

Step-by-step explanation:

16 x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

16x² - 49

= (4x)² - 7²

= (4x + 7)(4x - 7) → B

Answer:

B

Step-by-step explanation:

There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.

Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.

4x4 is 16. That's why you put fours in front of Xs.

I am sorry for getting this wrong (if i did)

Answer:

-9

y= x + 3

2

2

Step-by-step explanation:

its simple just follow my steps

Answer:

Step-by-step explanation:

[tex]g^{-1} (-3)=7\\[/tex]

let h(x)=y

y=2x-3

flip x and y

x=2y-3

2y=x+3

[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]

Answer: Major arc = ∅/360 (2πr)

Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.

Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.

If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.

Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as

60/360

This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the  central angle by the entire length of the circumference.

Therefore you can calculate the measure of major arc ABC by applying the formula

Length of an arc = ∅/360 (2πr)

Where ∅ is the angle enclosing the arc at the center of the circle

r is the radius of the circle and

π is usually given as 3.14 (or 22/7)

Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.

And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;

Angle of major arc = 360 - angle of minor arc

Answer:

Question #3:T-Bone

Question #4:51 cars

Step-by-step explanation:

Question #3: divide each cost by 16 because 1 pound=16 oz

Question #4: 32/5 times 8=51.2 cars

Answer:

(3, -3)

Step-by-step explanation:

If a point is dilated about the origin rule to be followed,

(x, y) → (kx, ky)

where k is a scale factor by which the point is being dilated.

If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]

Therefore, coordinates of the image R' will be (3, -3)

Answer:

sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.

Answer:

A. cos α = – 3/5

B. Sin β = √3/2

Step-by-step explanation:

A. To find the exact value of cos α , we must obtain the Hypothenus for the triangle.

Please attach photo for explanation.

B. To find the value of sin β, we must determine the opposite in the triangle. Please see attached photo for further details.

Answer:

15.5

Step-by-step explanation:

CAH

cos=adj/hyp

cos60= x/31

0.5=x/31

x= 15.5

Answer:

80%

Step-by-step explanation:

The number of males with weight between 160 and 175 lbs is 12

So since we were told that the boat seat is graded for males with 160 to 175lbs

=175lbs-160 lbs =15

=12/15*100

=80%

Answer:

8 mph

Step-by-step explanation:

The lorry's shortest route:

60 miles in 1.5 hours

speed = distance/time = (60 miles)/(1.5 hours) = 40 mph

The longer route:

time = 1.5 hours

distance = 20% more than 60 miles = 1.2 * 60 miles = 72 miles

speed = distance/time = (72 miles)/(1.5 hours) = 48 mph

Difference in speeds: 48 mph - 40 mph = 8 mph

Work Shown:

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

Answer:

x=6.93

Step-by-step explanation:

This is a right triangle, therefore we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.

a=x

b=11

c=13

x^2+11^2=13^2

Evaluate the exponents.

11^2=11*11=121

13^2=13*13=169

x^2+121=169

Now we must solve for x by getting x by itself. First, subtract 121 from both sides.

x^2+121-121=169-121

x^2=169-121

x^2=48

x is being squared, so we should take the square root of both sides.

√x^2=√48

x=√48

x=6.92820323

Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.

x=6.93

Answer: 98 is your answer

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

It just means plug in the points into f(x)

-6 = -8

-1 = -3

1 = -1

6 = 4

Answer:

A

Step-by-step explanation:

This is a linear function whose slope is -3 and whose y-intercept is (0, 2).  Answer A is correct.

Answer:

lower quartile: 80.5 upper quartile: 93

Step-by-step explanation:

Fro the above question, we are given the following values for the number of cars 8 dealerships sold.

GMC = 84

Chevrolet = 81

Nissan = 92

Toyota = 92

Ford = 95

Honda = 94

Hyundai = 80

Acura = 72

We are told to find the lower and upper quartile of this set of data.

The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).

The lower quartile is also calculated using the formula

Q1 = 1/4(n + 1) th value

Where n is the number of values in the the date set.

The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).

The upper quartile is also calculated using the formula

Q3 = 3/4(n + 1) th value

Where n is the number of values in the the date set.

Step 1

Arrange the data set from the lowest to the highest number

72, 80, 81, 84, 92, 92, 94, 95

Step 2

Calculate the lower Quartile

Q1 = 1/4(n + 1)th value

n = number of values in the data set = 8 values

Q1 = 1/4(8 + 1)th value

Q1 = 1/4(9)th value

Q1 = 2.25th value

This means it is between the 2nd and 3rd value

2nd value = 80

3rd value = 81

(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5

The Lower Quartile (Q1) = 80.5

Step 3

Calculate the lower Quartile

Q3 = 3/4(n + 1)th value

n = number of values in the data set = 8 values

Q3 = 3/4(8 + 1)th value

Q3 = 3/4(9)th value

Q3 = (27/4)th value

Q3 = 6.75th value

This means it is between the 6th and 7th value

6th value = 92

7th value = 94

(92 + 94) ÷ 2 = 186 ÷ 2 = 93

The Upper Quartile (Q3) = 93

Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93

Answer:

A

Step-by-step explanation:

good luck on the test ,have a nice day :)

edg 2022

Answer:

Step-by-step explanation:

Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles

Lets use the angle sum theorem and isosceles triangle definition

180=n+29+29

180=n+58

n+58=180

n=180-58

n=122

This angle is supplementary to one of the two congruent angles of the triangle that contains angle x

180=y+122

y+122=180

y=180-122

y=58

The triangle that has angle x is isosceles, thus we can use the following equation to find x

180=58+58+x

180=116+x

116+x=180

x+116=180

x=180-116

x=64 degrees

Answer:

144

Step-by-step explanation:

Area of a square is [tex]s^2[/tex]

The side length is 12 cm.

[tex]12^2=144[/tex]

Therefore, the area of the square is [tex]144 \: cm^2[/tex].

Answer: w^6 z^4

Step-by-step explanation:

w^6z^4

w^3^2 z^2^2

w^6 z^4

Answer:

[tex]w^6z^4[/tex]

Step-by-step explanation:

[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]

Answer:

the answer is C:x=20 I used a calculator

answer: X would equal 104

Step-by-step explanation:

you would first find the interior angle for the other 2 exterior angles this would lead for  the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X

Missing exterior angle is 104°.

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In the figure

Measure of exterior angles = 92°, 164°, x°

Sum of exterior angles of triangle is 360°

92° + 164° + x° = 360°

256° + x° = 360°

x° = 360° - 256°

x° = 104°

Hence, 104° is the measure of the missing exterior angle.

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