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4 years ago

What is the range of the function? *

Mathematics

1 answer:

san4es73 [151]4 years ago

4 0

Answer:

(-∞, 4]

Step-by-step explanation:

The range of the function is the values that the output can take

Y goes from negative infinity to and including 4 ( assuming the scale is 1)

(-∞, 4]

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3. A research study asked children which of four different emotions they associated with the color red. The response and gender

user100 [1]

Answer:

This is required solution

Step-by-step explanation:

Given that:

for male

joy = 28

happiness = 20

love = 40

anger = 18

a] we need to calculate the percentage of emotions for the male

using formula for percentage

$\percentage\ of\ emotions=\dfrac{emotion}{total\ emotions}\times100$

percentage of joy = $\dfrac{28}{106}\times100$

percentage of joy = 26.41

percentage of happiness = $\dfrac{20}{106}\times100$

percentage of happiness = 18.86

percentage of love = $\dfrac{40}{106}\times100$

percentage of love = 37.73

percentage of anger = $\dfrac{18}{106}\times100$

percentage of anger = 16.98

for female

joy = 61

happiness = 25

love = 80

anger = 60

we need to calculate the percentage of emotions for the female

using formula for percentage

$\percentage\ of\ emotions=\dfrac{emotion}{total\ emotions}\times100$

percentage of joy = $\dfrac{61}{226}\times100$

percentage of joy = 26.99

percentage of happiness = $\dfrac{25}{226}\times100$

percentage of happiness = 11.06

percentage of love = $\dfrac{80}{226}\times100$

percentage of love = 35.39

percentage of anger = $\dfrac{60}{226}\times100$

percentage of anger = 26.54

B] We need to draw a bar graph for male and female

using percentage of emotion of male and female

according to using percentage we draw a bar graph using data of part A.

Hence, this is required solution

7 0

4 years ago

Find the solution(s) to (x + 3)2 = 49.

rusak2 [61]

X= 21.5 i think.
i solved it as in the picture below

7 0

4 years ago

I dont understand TwT pls help me it makes me understand better and learn from it. it truly helps me

Stels [109]

Answer:

Lateral Area = 624 square units

Surface area = 1,200 square units

Volume = 960 cubic units

Step-by-step Explanation:

==>Given:

Dimensions of the square pyramid as shown in the figure are:

length of 1 side of the square base (s) = 24

Slant height (l) = 13

Perpendicular height (h) = ?

==>Required:

a. Lateral area (L.A) = 4 × ½sl

b. Surface Area (S.A) = Base area (s²) × Lateral area (4 × ½sl)

c.Volume of the pyramid = ⅓ × Base area (s²) × perpendicular height (h)

==>SOLUTION:

a. Lateral area (L.A) = the area of the 4 lateral faces of the pyramid, which are triangular faces.

L.A = 4 × ½sl

From the figure given, s = 24; l = 13,

Therefore, L.A = 4 × ½ × 24 × 13

= 4 × 1 × 12 × 13

Lateral Area = 624 square units

b. Surface Area (S.A) = Base area (s²) × Lateral area (4 × ½sl)

Base area (s²) = 24² = 576 square units

Lateral area (4 × ½sl) = 624 square units

Therefore, total surface area = 576 + 624

= 1,200 square units

c. c.Volume of the pyramid using the formula ⅓ × Base area (s²) × perpendicular height (h)

Base area (s²) = 576 square units

Perpendicular height (h) is not given in the figure = h

Since already know the slant height (s), let's use Pythagorean theorem to find the perpendicular height (h) bearing in mind that a right triangle is formed in the middle of the pyramid as illustrated in the figure attached below.

The base of the right triangle = ½ of side length of the base (s) = ½ × 24 = 12

The hypotenuse (l) = 13

Therefore using the Pythagorean Theorem formula a² + b² = c², let's find the perpendicular height (h).

Where,

a² = h²

b² = (½s)² = 12²

c² = l² = 13²

Thus, h² + 12² = 13²

h² = 13² - 12²

h² = 169 - 144

h² = 25

h = √25

h = 5

==>Volume of pyramid (V) = ⅓ × Base area (s²) × perpendicular height (h)

V = ⅓ × 576 × 5

V = ⅓ × 2,880

V = 960 cubic units

4 0

4 years ago

1) Name the x-intercept of the graph for the<br> equation 4x +2y = 8

Ksju [112]

Answer:

The x-intercept is at (2,0).

Step-by-step explanation:

The x-intercept(s) can be found by setting y to 0 and solving for x.

Your equation is:

4x+2y=8.

To find x-intercept replace y with 0:

4x+2(0)=8

4x =8

Divide both sides by 4:

x =2

The x-intercept is at (2,0).

7 0

3 years ago

Read 2 more answers

9 1/12 - 4 5/8 - 2 2/3=

Sphinxa [80]

Answer:

= 3 -1.202

Step-by-step explanation:

5 0

3 years ago