mBC= measure of minor arc AC true or false?

Option 4 is the correct choice.

We have a graph that represents a inequality.

We have to determine which of the following given inequalities is plotted in the graph

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

The straight line is not uniform but dashed. Hence, the type of inequality will be strict (either < or > ).

The y - intercept of the line is at : + 3.

The slope of the line will be = [tex]\frac{3 -0}{0-1.5} = -2[/tex]

Now, it is clear from the above discussion that the we are left with two possible options - option C and D. Consider a point (0, 0) and check both the inequalities mentioned in option C and D.

For y > -2x + 3 at (0,0)

0 > 0 + 3

0 > 3

which is false.

For  y < -2x + 3 at (0,0)

0 < 0 + 3

0 < 3

Which is true.

Hence, the inequality represented by the graph is :  y < - 2x + 3

Therefore, Option 4 is the correct choice.

To solve more questions on Plotting inequalities, visit the link below -

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Answer:

Option (C)

Step-by-step explanation:

Given expression is,

[tex]4+4\times \text{log}_2(x)=14[/tex]

By subtracting 4 from both the sides of the equation.

[tex]4\times \text{log}_2(x)=14-4[/tex]

Now divide the equation by 4

[tex]\text{log}_2(x)=\frac{10}{4}[/tex]

[tex]\text{log}_2(x)=2.5[/tex]

[If [tex]\text{log}_ab=x[/tex] , then [tex]b=a^{x}[/tex]]

[tex]x=(2)^{2.5}[/tex]

[tex]x = 5.657[/tex]

x ≈ 5.66

Therefore, Option C will be the correct option.

4+4•log2 x=14

x= 5.66

Answer:

Volume = 160 cm³   (Unit = cm³)

Step-by-step explanation:

Length = 4 cm

Width = 4 cm  (Because it's a square based cuboid!)

Height = 10 cm

Now, Volume:

Volume = [tex]Length * Width*Height[/tex]

Volume = 4 * 4 * 10

Volume = 160 cm³

Answer:

160 cm³

Step-by-step explanation:

The base is a square. The side length of the base is 4 cm.

The volume of a square-based cuboid is the area of square × height or length.

4² × 10

16 × 10

= 160

The volume of the square-based cuboid is 160 cm³.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  x < 3

Interval Notation:

( − ∞ , 3 )

Answer:

x<3

Step-by-step explanation:

-13x>-39

-13x>-39 (Divided by Negative Thirteen)

-13>-13

x<3 (The great sign changes to less than when divided or multiplied by a negative number.)

x={...0,1,2}

Hope this helps ❤

Answer:

d. 0.459 < p < 0.603

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.531.

[tex]p=X/n=69/130=0.531[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.531*0.469}{130}}\\\\\\ \sigma_p=\sqrt{0.001916}=0.044[/tex]

The critical z-value for a 90% confidence interval is z=1.645.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.645 \cdot 0.044=0.072[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.531-0.072=0.459\\\\UL=p+z \cdot \sigma_p = 0.531+0.072=0.603[/tex]

The 90% confidence interval for the population proportion is (0.459, 0.603).

Answer:

x = 5, y = -2.

Step-by-step explanation:

3x+2y=11

2x-2y=14

Adding removes the y terms:

5x = 25

x = 5.

Substitute for x in the first equation:

3(5) + 2y = 11

2y = 11 - 15 = -4

y = -2.

Answer:

[tex]3x + 2y = 11and2x - 2y = 14 \\ 2 \times 3x + 2 \times 2y = 2 \times 11and3 \times 2x + 3( - 2)y = 3 \times 12 \\ 6x + 4y = 22nd6x - 6y = 42 \\ 6x - 6x + 4y + 6y = 22 - 42 \\ 4y + 6y = 22 - 42 \\ 10y = 22 - 42 \\ 10y = - 20 \\ y = - 2 \\ \\ \\ \\ 2x - 2( - 2) = 14 \\ 2x + 4 = 14 \\ 2x = 10 \\ x = 5[/tex]

Answer:

1/32

Step-by-step explanation:

Multiply the fractions together

1/8 * 1/4 = 1/32

1/32 are left handed glass wearers

Answer:

For lines A and B to be parallel, the Same Side Interior angles must be supplementary which means:

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15°

Answer:

Pair of compasses.

Step-by-step explanation:

These are used to inscribe circles/arcs.

Compasses are used in maths, navigation,e.t.c.

Hope it helps.

Answer:

0.42

Process:

1 - 0.58

0.42

Answer:

1/7

Step-by-step explanation:

The probability of picking an even number is 3/7.

Without putting the first card back, the probability of picking an even number again is 2/6.

[tex]3/7 \times 2/6[/tex]

[tex]= 6/42[/tex]

[tex]=1/7[/tex]

Answer:

[tex]\frac{5x-11}{\left(2x-3\right)\left(x+2\right)}[/tex]

Step-by-step explanation:

[tex]\frac{5x-11}{2x^2+x-6}[/tex]

Factor the denominator.

[tex]\frac{5x-11}{\left(2x-3\right)\left(x+2\right)}[/tex]

The fraction cannot be simplified further.

Answer:

solution,

[tex] \frac{5x - 11}{2 {x}^{2} + x - 6} \\ = \frac{5x - 11}{2 {x}^{2} + (4 - 3)x - 6} \\ = \frac{5x - 11}{2 {x}^{2} + 4x - 3x - 6 } \\ = \frac{5x - 11}{2x(x + 2) - 3(x + 2)} \\ = \frac{5x - 11}{(x + 2)(2x - 3)} [/tex]

Hope this helps..

Answer:y times 20 p

Step-by-step explanation:

Answer:

116370.197$

Step-by-step explanation:

Jimmie invested $13,000 at 5.23% compounded monthly.

Jimmie's account balance (B) after 42 years:

B = principal x (1 + rate)^time

  = 13000 x (1 + (5.23/100)/12)^(42 x 12)

  = 116370.197$

Answer:

33 1/2 min

Step-by-step explanation:

Answer:

50 miles

Step-by-step explanation:

hello,

let's note x the number of miles travelled heading west,

it takes 1 hour to travel 25 miles

so it takes x/25 hours to travel x miles

we know that in total it travels 7 hours so it will travel 7-x/25 hours heading North, then heading North it takes 1 hour to travel 19 miles

so in 7-x/25 hours it travels 19(7-x/25) miles

we can write, as the total distance is 145 miles

[tex]x+19(7-\dfrac{x}{25})=145\\<=> 25x+3325-19x=3625\\<=> 6x=300\\<=> x = 50[/tex]

we can verify

50 miles heading West takes 2 hours

in 5 hours it travels 19*5 = 95 miles

the total is 145 miles

so this is correct

hope this helps

Answer:

  41°, 56°, 83°

Step-by-step explanation:

We can find the largest angle from the law of cosines:

  c² = a² +b² -2ab·cos(C)

  C = arccos((a² +b² -c²)/(2ab))

  C = arccos((4² +5² -6²)/(2(4)(5))) = arccos(5/40) ≈ 82.8192°

Then the second-largest angle can be found the same way:

  B = arccos((4² +6² -5²)/(2·4·6)) = arccos(27/48) ≈ 55.7711°

Of course the third angle is the difference between the sum of these and 180°:

  A = 180° -82.8192° -55.7711° = 41.4096°

Rounded to the nearest degree, ...

  the angles of the triangle are 41°, 56°, 83°.

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

Un rectángulo es una figura geométrica que tiene 4 lados. Un rectángulo también se puede llamar cuadrilátero. En un rectángulo, un lado es más largo que el otro.

El lado más largo de un rectángulo se llama largo, mientras que el lado más corto se llama ancho.

El lado más largo del rectángulo (longitud) mide 10 cm.

La fórmula para el perímetro de un rectángulo se da como:

2L + 2W = P

Dónde:

P = 28cm

L = longitud

W = ancho

La pregunta dice que un lado mide 6 cm más que el otro. Esto significa que la longitud es 6 cm más que la anchura. Por lo tanto, podemos representar matemáticamente la declaración anterior:

L = W + 6

Sustituimos W + 6 por L en la fórmula

2 (W + 6) + 2W = 28

2W + 12 + 2W = 28

Recopilar términos semejantes

2 W + 2 W = 28 - 12

4W = 16

Dividir ambos lados entre 4

4W / 4 = 16/4

Ancho = 4 cm

El ancho del rectángulo es de 4 cm.

Debemos encontrar el lado más largo que es la longitud. Por eso:

L = W + 6

L = 4 + 6

L = 10 cm.

Por lo tanto, el lado más largo del rectángulo (Longitud) es de 10 cm.

Para obtener más información, visite el enlace a continuación:

https://brainly.com/question/21529866

Answer:

No, not necessarily

Step-by-step explanation:

If g(a) = 0, it is not necessarily that F(x) will have a vertical asymptote at x = ​a

For instance, assume the following conditions:

[tex]F(x) = \frac{f(x)}{g(x)}\\f(x) = x^3*(x-a)\\g(x) = x-a[/tex]

In this conditions, g(a) = 0. F(a), however, can be written as:

[tex]F(x) = \frac{x^3*(x-a)}{x-a}\\F(a) = a^3[/tex]

In this particular case, F(x = a) does not show a vertical asymptote.

Answer: 125 boys and 125 girls = 1:1

Step-by-step explanation:

An equivalent ratio means there will be an equal number of boys and girls.

Since there are 250 students,

Boys = 250/2 = 125

Girls = 250/2 = 125

The ratio of boys to girls = 125 : 125

                                              1   :   1     when simplified

Answer:

m∠A = 17 degrees       m∠B = 73 degrees     m∠C = 90 (given)    a =   12 (given)    b =  40           c = 42 (given)

Step-by-step explanation:

Use sin to solve m∠A

sin x = 12/42     Simplify

sin x = 0.2857   Use the negative sin to solve for x

sin^-1 x =  17 degrees

Add together all of the angle measures to solve for m∠B

17 + 90 + x = 180    Add

107 + x = 180

-107        -107

x = 73 degrees

Use Pythagorean Theorem to solve for b

12^2 + x^2 = 42^2     Simplify

144 + x^2 = 1764

-144            -144

x^2 = 1620               Take the square root of both sides

x = 40

Answer:

$6.88

Step-by-step explanation:

16Tbs. =1 cup,

4 pies =2 cups of lemon juice, so you need 32 Tbs. of lemon juice

32/2=16

16*0.43=$6.88

Answer: $ 6.88

Step-by-step explanation:

In one cup there is 16 tablespoons.

each lemon costs .43 and gives 2 tablespoons

Half a cup would give us 8 tablespoons = 4 lemons at the cost of 1.72

1.72 times 4 pies

Making the whole thing of 4 pies cost 6.88

Giving us the answer of 6.88.

(correct me if i'm wrong)

Answer:

to determine the inverse of the given function, change f(x) to y, switch [tex]\boxed{x}[/tex] and y and solve for [tex]\boxed{y}[/tex]

The resulting function can be written as

[tex]f^{-1}(x)=x^2+\boxed{4}[/tex] where [tex]x\geq\boxed{0}[/tex]

Step-by-step explanation:

Hello,

f is defined for [tex]x\geq 4[/tex] as x-4 must be greater or equal to 0

and [tex]f(x)\geq 0[/tex]

so [tex]f^{-1}[/tex] is defined for [tex]x\geq 0[/tex]

and then we can write

[tex]x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)-4} \ so\\f^{-1}(x)-4=x^2 <=> f^{-1}(x)=x^2+4[/tex]

hope this helps

Hey there! :)

Answer:

x = 18 minutes.

Step-by-step explanation:

To solve this equation, set up a ratio.

# of towels over time taken:

[tex]\frac{6}{3} = \frac{36}{x}[/tex]

Cross multiply:

6x = 108

Divide both sides by 6:

6x/6 = 108/6

x = 18 minutes.

Answer:

In eighteen minutes she will have folded all 36

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

Explanation:

We have 8 people to start with. If we remove Alice and Bob, and replace them with Charlie (who will be a stand in for both people), then we have 8-2+1 = 7 people in this line. There are 7! = 7*6*5*4*3*2*1 = 5040 different permutations or line orderings for these seven people.

For any given permutation, replace Charlie with Alice and Bob. There are two ways to do this for any ordering. We could have Alice in front of Bob, or Bob in front of Alice. So there are 2 times as many permutations compared to 5040. In other words, there are 2*5040 = 10,080 different permutations where Alice and Bob are standing together.

This is out of 8! = 8*7*6*5*4*3*2*1 = 40,320 different permutations overall of arranging 8 people in a line.

This means there are 40,320 - 10,080 = 30,240 different ways to arrange 8 people such that Alice and Bob are not standing together.

In summary, the idea is to find out how many ways there are to have Alice and Bob together. Then we subtract that result from the total number of ways to arrange 8 people to get our final answer.

Answer:

30240 got it from a teacher :>

Step-by-step explanation:

RSM XD

Answer:

Hello, your answer is:

B. 3²×5

Step-by-step explanation:

Prime factorization of 45 is:

45 = 9 x 5

= 3²×5

Hope this helps you.. Good Luck

Answer:

B. 3² × 5

Step-by-step explanation:

45 can be written as a product of its prime factors.

45 = 3 × 3 × 5

45 = 3² × 5

Answer:

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

Uniform distribution from 0 to 4.8 seconds.

This means that [tex]a = 0, b = 4.8[/tex]

61% of the time a person will wait at least how long before the wave crashes in?

This is the 100 - 61 = 39% percentile, which is x for which [tex]P(X \leq x) = 0.39[/tex]. So

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

[tex]0.39 = \frac{x - 0}{4.8 - 0}[/tex]

[tex]x = 4.8*0.39[/tex]

[tex]x = 1.872[/tex]

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

Answer:

60 Ways

Step-by-step explanation:

We have 5 cars and have to choose 3 cars to finish the race first.

5 options for 1st car

4 options for 2nd car

3 options for 3rd car

5 · 4 · 3

Hope that helps, tell me if further explanation is needed

Answer: 5182

To get the value of all 100 numbers you would need to multiply.

Step-by-step explanation:

51.82x100= 5182