Question 4 of 10
In each family of functions, the
the family
function is the most basic function in
O A simple
O 8. parent
O c. quadratic
O D linear

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

Answer:

x=4, x=-4

Step-by-step explanation:

x^2-16=0

Add 16 to both sides;

x^2-16+16=0+16

Simplify;

x^2=16

x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]

[tex]\sqrt{16}[/tex]

=4

factor the number;16

[tex]\sqrt{4^2}[/tex]

=[tex]\sqrt{4}[/tex]

-[tex]\sqrt{16}[/tex]

Factor the number 16;

[tex]\sqrt{4^2}[/tex]

=-4

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y   -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4  = 0

-67y^2 +270y +  4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and  -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

Answer:

The 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no kelp treatment is -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

Step-by-step explanation:

The given data are;

The number of the group 1 plants that exhibited damage = 12

The number of plants in group 1, n₁ = 50

The number of the group 2 plants that exhibited damage = 18

The number of plants in group 2, n₂ = 50

The proportion of group 1 plants that exhibited damage, [tex]\hat p_1[/tex] = 12/50 = 0.24

The proportion of group 2 plants that exhibited damage, [tex]\hat p_2[/tex] = 18/50 = 0.36

The z-value at 95% = 1.64

The confidence interval is given by the following formula;

[tex]C.I. = \hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\dfrac{\hat{p}_1\left (1-\hat{p}_1 \right )}{n_{1}}+\dfrac{\hat{p}_2\left (1-\hat{p}_2 \right )}{n_{2}}}[/tex]

Plugging in the values, we get;

[tex]C.I. = 0.24-0.36\pm 1.64 \times \sqrt{\dfrac{0.24\left (1-0.24 \right )}{50}+\dfrac{0.36\left (1-0.36 \right )}{50}}[/tex]

Therefore, C.I. = -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

Answer:

[tex]Girls = 319[/tex]

Step-by-step explanation:

Given

[tex]Boys: Girls = 15:11[/tex]

Required

Find Girls, when Boys = 435

Substitute 435 for Boys

[tex]435: Girls = 15:11[/tex]

Express as fraction

[tex]\frac{Girls}{435} = \frac{11}{15}[/tex]

Multiply through by 435

[tex]435 * \frac{Girls}{435} = \frac{11}{15}* 435[/tex]

[tex]Girls = \frac{11}{15}* 435[/tex]

[tex]Girls = \frac{11* 435}{15}[/tex]

[tex]Girls = \frac{4785}{15}[/tex]

[tex]Girls = 319[/tex]

Answer:

128

Step-by-step explanation:

x/64=2

x=64*2

x=128

Answer:

=128

Step-by-step explanation:

64=2

64⋅64=64⋅2

64⋅64=64⋅2

=64⋅2

=64⋅2

=128

hope it helps <3

9514 1404 393

Answer:

  B  acute

Step-by-step explanation:

We can define a "form factor" for a triangle as ...

  f = a² +b² -c²

where c is the longest side length. It will be interpreted as follows:

For this triangle, our "form factor" is ...

  f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number

The triangle is Acute.

Answer:

First let's calculate the area of the bottom part

diameter is 34 m

so the radius (r) is 1/2 * 34 m = 17 m

bottom part is 1/2 of a circle

circle surface area formula is πr²

so surface area of our bottom part is 1/2 * πr²

1/2 * πr² = 1/2 * 3,14 * 17² = 453,73

so it's 453,73 m²

Triangle part consists of 2 smaller rectangular triangles

surface area for rectangular triangle is 1/2 * a * h

in our case a = r = 17 m and h = 30m

so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255

so it's 255 m²

and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²

Surface area of the entire figure is a sum of 510 m² and  453,73 m²

510 m² +  453,73 m² =  963,73 m²

Answer:

i think the first one maybe... not so sure

Answer:

Should be B and D

Step-by-step explanation:

You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.

Answer:

I don't know I need the answer choices

Step-by-step explanation:

Answer:

48.5 m/s

Step-by-step explanation:

291/6 = 48.5

The answer i worked out is  x=3/2

Answer:

Step-by-step explanation:picture of problem please

italian society entered a new era of artistic and academic achievement

Answer:

Step-by-step explanation:

I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.

Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²

The lateral surface area of the triangular prism is 128 square cm.

A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 8 cm

The formula for lateral surface area of triangular prism is

[tex]LSA=(perimeter)(length)[/tex]

On substituting the above values,

⇒ [tex]LSA=(5+6+5)(8)[/tex]

⇒ [tex]LSA=(16)(8)\\[/tex]

⇒ [tex]LSA=128[/tex]

Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.

Learn more about triangular prism here

https://brainly.com/question/15070306

#SPJ2

Answer:

1.898 ×10^27 kg for Jupiter

and for Neptune 1.024×10^26 kg

Answer:

Hola

Step-by-step explanation:

Answer:

Simplified: 9 2/3

Step-by-step explanation:

Convert the mixed numbers into improper fractions

To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator

First fraction:

5 11/12

(12 × 5 + 11)/12

(60 + 11)/12

71/12

Next fraction:

3 9/12

(12 × 3 + 9)/12

(36 + 9)/12

45/12

Substitute these fractions in the original problem now:

71/12 + 45/12

Add the numerators only. The denominators stay the same.

(71 + 45)/12

116/12

Now that the calculations are done, convert this back into a whole number

How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction

12 × 9 = 108

This doesn't equal 116 perfectly so we must find the left over

116 - 108 = 8 left over (which is used as the numerator)

9 8/12

If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them

8 and 12 both have common factors of 2 and 4

Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer

9 2/3

Answer:

hhhhhh

Step-by-step explanation:

i think it is 40

Answer:

d=4

Step-by-step explanation:

because 6x4=24

-6x4=-24

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Answer:

[tex]Probability = \frac{1}{9}[/tex]

Step-by-step explanation:

Given

Toppings: Pico de gallo, Onions and Steak

Required

The probability of getting Onions and Steak

The probability is calculated using:

[tex]Probability = P(Onion)\ and\ P(Steak)[/tex] --- because the events are independent

[tex]P(Onion) = \frac{n(Onion)}{Total}[/tex]

[tex]P(Onion) = \frac{1}{3}[/tex]

[tex]P(Steak) = \frac{n(Steak)}{Total}[/tex]

[tex]P(Steak) = \frac{1}{3}[/tex]

So, we have:

[tex]Probability = P(Onion)\ and\ P(Steak)[/tex]

[tex]Probability = P(Onion)\ *\ P(Steak)[/tex]

[tex]Probability = \frac{1}{3} * \frac{1}{3}[/tex]

[tex]Probability = \frac{1}{9}[/tex]

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

Answer:

Step-by-step explanation:

y=-2x²+16x-35

=-2(x²-8x+16-16)-35

=-2(x²-8x+16)+32-35

=-2(x-4)²-3

axis of symmetry is x-4=0

or x=4

Answer:

y=2x^2+16x-35

a=2, b=16

x= -[tex]\frac{16}{2x2}[/tex]

x=-4

Answer:

I think the option B is the answer -9/4 divided by (-2/3)

I hope this might help u

Answer:

a

c

b

i think those are right hope im not wrong good luck

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11

Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0

Labeled scatter plot of Education and Internet Use is attached in the picture below.

Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.

The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048

The scientific notation for this is :-6x10⁷

Answer:

23.04

Step-by-step explanation:

length×width

4.8×4.8

correct me if im wrong:)

Answer:

Step-by-step explanation:

the rate of change is 1.60

you can easily see that by comparing the number of chips and the cost