What is the measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answer:

Factoring

Step-by-step explanation:

To solve the equation [tex]x ^ 2 + 4x + 3 = 0[/tex], you must apply the factoring method.

You must find two real numbers b and c such that:

[tex]b + c = 4[/tex]

and

[tex]b(c) = 3[/tex]

Then the expression:

[tex]x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)[/tex]

You can prove that:

[tex]b = 3\\c = 1[/tex]

So

[tex]x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)[/tex]

[tex](x + 3)(x + 1) = 0[/tex]

[tex]x +3 = 0[/tex] or [tex]x + 1 = 0[/tex]

[tex]x = -3[/tex] or [tex]x = -1[/tex]

X will be -1 and -3!

Answer:

The sample size is not appropriate.

The population isn’t given to be approximately normal.  And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.

Answer:

Answers are : (1st & 2nd choices)

• The sample size is not appropriate.

• The population isn't given to be approximately normal.

Answer:

The rate of change is 8 more for function 2 than it is for function 1.

Step-by-step explanation:

Function 1 is a horizontal line, which has a slope of 0. Slope is the same as rate of change.

Function 2 has a slope of 8 (since it is the coefficient of x.

As a result, we know that function 2's rate of change is 8 higher than that of function 1.

Volume of a cylinder

[tex]\pi \times {r}^{2} \times h[/tex]

larger cylinder: r=2, h=28

volume of larger cylinder lets say (V) :

[tex]\pi \times {2}^{2} \times28 \\ = 4 \times 28\pi =112\pi[/tex]

vokume of smaller cylinder lets say (v): r=2, h=7

[tex]\pi \times {2}^{2} \times 7 \\ = 4 \times 7\pi = 28\pi[/tex]

so the ratio= volume of largercylinder/ volume of smaller

[tex]ratio = \frac{112\pi}{28\pi} \\ = \frac{4}{1} [/tex]

so in ratio terms the

Ans: 4:1

The ratio of the volume of the larger cylinder to the smaller cylinder is 4:1, calculated using the volume formula for cylinders, V = πr²h.

To calculate the ratio of the volumes of two cylinders, we need to use the formula for the volume of a cylinder, V = (πh), where r is the radius and h is the height.

For the first cylinder with a height of 7 cm and a radius of 2 cm, the volume is V₁ = 3.14 (2 cm) (7 cm) = 88.36 cm³.

For the second cylinder with a height of 28 cm and the same radius, the volume is V₂ = 3.14 (2 cm) (28 cm) = 353.44 cm³.

The ratio of V2 to V1 is then 353.44 cm³ / 88.36 cm³, which simplifies to 4:1.

Answer:

a = ( 5 +/- sqrt(57) )/2

Step-by-step explanation:

Uh...well just multiply by a and move the 4, setting the equation to 0.

a, b, and c are 2, -5, -4

Plug that into the QuadF.

Answer:  [tex]\bold{\dfrac{5\pm \sqrt{57}}{4}}[/tex]

Step-by-step explanation:[tex]2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}[/tex]

Final answer:

The correct equation is c=3.5h+15, where c is the total rental cost and h is the number of hours the kayak is rented. The equation includes a fixed fee of $15 and a variable hourly rate of $3.50. The correct answer is option (A).

Explanation:

The equation representing the function for the total cost c, to rent a kayak for h hours, is A. c=3.5h+15. This equation consists of a fixed cost and a variable cost.

The fixed cost, or y-intercept, is the initial $15 fee required to rent the kayak, which is represented when h=0. The variable cost, or slope, is $3.50 per hour of rental, indicating that for each additional hour h, the cost increases by this amount.

Answer:

Fraction form: x = ln(5)/ln(10)

Decimal form: 0.69897000

please mark brainliest

Answer: 18% of 120 is 21.6

And, 12% of 120 is 14.4

* Both of their work is below:)

* Hopefully this helps:)!! Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

Step-by-step explanation:

18% of 120

Convert 18% to a decimal by dividing by 100:

18 / 100 = 0.18

120 * 0.18 = 21.6

12% of 120

Convert 12% to a decimal by dividing by 100:

18 / 100 = 0.12

120 * 0.12 = 14.4

$6 was her dessert. you do 20x0.3=6

52 cups.

3.35 times 52 equals 174.20

2.45 times 77 equals 188.60

So 52 cups of apple cider were sold in total.

Answer:

 The number of cups of apple cider sold was 60 cups

Step-by-step explanation:

We will develop equations to solve this problem.

Let a= price for a cup of apple cider in dollars

Let b= price for a donut in dollars

Let x = number for cups of apple cider sold

Let y= number of donuts sold

Let z = number of items sold on the day = 126 items

Let v = total money made = $362.70

Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.

z = x + y

x = z- y (1)

v = ax + by (2)

we substitute equation 1 in to equation 2

v = a(z-y) +by = az -ay +by = az +y(b-a)

solve for y

y = (v-az)/(b-a) = (362.70 - 3.35×126)/(2.45-3.35) = 66 donuts were sold

therefore x = z-y = 126-66 = 60 cups of apple cider were sold

Answer:

Step-by-step explanation:

y=4(2)-7

y=(4)(2)(−7)

Answer:

y=−56

Value of y when x = 2 is 1.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given equation

y = 4x-7

Value of y when x = 2

Substitute x = 2 in above equation

[tex]y = 4 \times 2 -7[/tex]

[tex]y=8-7[/tex]

y = 1

Value of y when x = 2 is 1.

Find out more information about equation here

brainly.com/question/2263981

#SPJ2

ANSWER

(-2,-3); minimum

EXPLANATION

The vertex is the minimum or maximum point on a parabola.

The graph of the function opens upwards.

Therefore the vertex will be the minimum point on the graph.

From the graph, the minimum point is (-2,-3).

Therefore the vertex is (-2,-3).

The second choice is correct.

Answer:

Step-by-step explanation:

3 because :

3+9=12

12×3=36

36-16=20

20+7=27

Answer: ¨A¨ is congruent due to SSS. ¨B¨ is not because corresponding sides are not congruent. ¨D¨ is congruent due to AA. Can´t see all of ¨C¨

Step-by-step explanation:

Answer:

the answer would be JKL

Step-by-step explanation:

Part A:

Mowing lawns: 1= $12 2= $24 3=$36 4= $48 5= $60

Walking dogs: 1= $9 2= $18 3= $27 4= $36 5= $45

I hope this helps you.

Part A:

-Chart one-

1-12

2-24

3-36

4-48

5-60

-Chart two-

1-9

2-18

3-27

4-36

5-45

Part B:

Plot these with circles (1,12), (2,24), (3,36), (4,48), (5,60)

Plot these with squares (1,9), (2,18), (3,27), (4,36), (5,45)

Answer:

20 girls.

Step-by-step explanation:

The girl to boy ratio is 10 to 2.

Insert the multiplier m and write an equation for the total number of students:

10 m + 2 m = 24, or

12 m = 24.  Then m = 2.

The number of girls is 10(m) = 10 m = 10(2) = 20.

The number of boys is 2(m) = 4

Note that 20 (girls) + 4 (boys) = 24 (students), as specified.

Note that 20/4 = 10/2, which is the given ratio.

Answer:

20 girls

Step-by-step explanation:

if there are 10 girls to 2 boys when you doble it you get 20 girls to 4 boys but when you add 20 and 4 together you get 24 students

Answer:

30,000 stores

Step-by-step explanation:

setting up a proportion is proably the easiest way to solve this equation..

9/ x = 3%/100%

0.03x = 9(100)

0.03x = 900

/0.03     /0.03

x = 30,000 stores

hope this helps!!

Answer: the answer is 6x + 12y

Step-by-step explanation:

6x+12y will be the answer for this!

Answer:

[tex]\frac{21}{8}[/tex]

Step-by-step explanation:

Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]

Let's changed that mixed number to an improper fraction. Now we get:

[tex]\frac{25}{8} - \frac{1}{2}[/tex]

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

[tex]\frac{25}{8} - \frac{4}{8}[/tex]

We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:

[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]

Answer:

Step-by-step explanation:

16-20 are correct. Remember to mark the first #20 as A

The last #20 is wrong. The answer is B. 95 minutes.

10:55 - 11:00 =  5 minutes

11:00 - 12:00 = 60 minutes

12:00 - 12:30 = 30 minutes

            Total = 95 minutes

Answer:

23

Step-by-step explanation:

15+8=23

Answer:

7

Step-by-step explanation:

um thats just 15-8

i think it is 588 but I am not 100percent sure

Answer:

588.827

Step-by-step explanation:

Answer:

[tex]\large\boxed{A.\ (x+6)^2+(y+10)^2=20}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

Substitute:

[tex]x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10[/tex]

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute (-6, -10) and (-8, -6):

[tex]r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}[/tex]

Finally we have

[tex](x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20[/tex]

Answer:

It's A...Just had it but i Chose B but it's A

Step-by-step explanation:

Answer:

Refer to step-by-step.

Step-by-step explanation:

1. x = 4

x + 3 = 7

x = 7-3

x = 4

2.  x = 25

We need to use the Pythagorean theorem to find x.

a² + b² = c²

15² + 20² = x²

225 + 400 = x²

652 = x²

√652 = √x²

x = 25

3. x = 12

Line NP and Line QP will have the same measurement.

x = 12

4. x = 29.41

We need to use the Pythagorean theorem to find x.

a² + b² = c²

24² + 17² = x²

576 + 289 = x²

865 = x²

√865 = √x²

x = 29.41

5. NO

We apply the Pythagorean theorem to find if they are tangent.

a² + b² = c²

9² + 40² = 41²

81 + 1600 = 2500

1681 = 2500 NO

6. NO

a² + b² = c²

4² + 12² = 13²

16 + 144 = 169

160 = 169 NO

7. NO

a² + b² = c²

20² + 21² = 28²

400 + 441 = 784

841 = 784 NO

8. YES

a² + b² = c²

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500 YES

Answer:

A

Step-by-step explanation:

First: C is incorrect. It is using the value of acceleration due to gravity in the metric system.

Second: the 16 must be opposite in sign from the 25. That makes B and D incorrect.

Answer: A

Answer: 86

Step-by-step explanation: You would add up all the numbers, then divide by the amount of numbers there are.

For example

79+89+90=258

Since there are three numbers(79,89,90) you would divide 258 by 3 and would get 86.

Hopes this helps

Answer:

Step-by-step explanation:

Part One

Number of girls with blonde hair = 6

Total number of students = 40

% = 6/40 * 100% = 15%

Part Two

Number of Red Headed boys = 2

Just read the chart.

Part Three

The Chance that black hair is 4/40 = 0.1 or 1 in 10

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent which goes to 1/3^4

Then evaluate it to 1/81

Answer:  

The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

Step-by-step explanation:

The expression is given to be :

[tex](3^{2})^{-2}[/tex]

Now, we need to find a expression which is equivalent to this given expression.

[tex](3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}[/tex]

Hence, The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

ANSWER

[tex](3x - 2)(x + 4)[/tex]

EXPLANATION

The given quadratic trinomial is

[tex]3 {x}^{2} + 10x - 8[/tex]

Comparing to the general quadratic trinomial:

[tex]a{x}^{2} + bx + c[/tex]

We have a=1, b=10 and c=-8

[tex]ac = 3 \times - 8 = - 24[/tex]

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

[tex]3 {x}^{2} + 12x - 2x- 8[/tex]

Factor;

[tex]3x(x+ 4) - 2(x + 4)[/tex]

Factor further;

[tex](3x - 2)(x + 4)[/tex]

The last option is correct.