Factor

x^2-6x-16


pls help i dont get it

Quadrilateral ABCD is an isosceles trapezoid with AC=BC The base angles are <A and <D, as well as <B and <C

∠A and ∠D,  as well as ∠B and ∠C.

In Euclidean geometry, an isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. It is a special case of a trapezoid. Alternatively, it can be defined as a trapezoid in which both legs and both base angles are of the same measure.

Hence, the two bases of trapezoid are:

AD and BC.

Hence, the base angles are:

∠A and ∠D,  as well as ∠B and ∠C.

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The equivalent of the given expression ⁴√7⁵ × √7³ in exponential form is  7^11/4.

Given the data in the equation;

⁴√7⁵ × √7³

Since fourth and square roots can be written as power 1/4 and 1/2 respectively.

7^(5 × 1/4) × 7^(3 × 1/2 )

7^(5/4) × 7^(3/2 )

From exponent rule, n^a × n^b = b^(a + b )

7^(5/4 + 3/2 )

7^11/4

The equivalent of the given expression ⁴√7⁵ × √7³ in exponential form is  7^11/4.

Hence, option D) 7^11/4 is the correct answer.

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Answer:

C

Step-by-step explanation:

Because you put the numbers over it and that makes a fraction. Easy:))

Answer:

2 ...................

Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°

The height is changing at the rate of 1/20in per minute in the given right cylindrical tank.

So, the changing the rate of the height:

Calculate height as follows:

Therefore, the height is changing at the rate of 1/20in per minute in the given right cylindrical tank.

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Answer:

Yes, Justin bought enough

Step-by-step explanation:

if there are 14 screws in a packet and Justin buys 5, all we have to do is multiply 14 x 5

14 x 5 = 70

So Justin bought 2 extra

The required results are following:

Step O : 1) Yes ,

2) Yes ; 3) No

step 1 : The null and alternative hypothesis are

H₀ : p = 0.105

Hₐ : p < 0.105

Step 2 : test statistic value is -0.865.

Step 3 : p- value is 0.1935 > 0.01 (α)

So, Fail to Reject null hypothesis and No, evidence to support that probability of births to mothers under 20 years of age is decreasing.

We have given that A sociologist claim that Births to mothers under 20 years of age is decreasing in United States.

Given data in statistics terms are

Sample size (n) = 134

Number of success = 11

level of significance , α = 0.01

hypothetical population proportion, p₀= 0.105

Step 0 :

1. Yes, this is a simple random sample because it fulfill all requirements.

2. Yes

np₀(1 - p₀) > 10

=> 134 x 0.105(1 – 0.105) > 10

=> 12.59265 > 10

3. No, as N is not given.

Step 1 :

The null and alternative hypothesis are

H₀: p = 0.105

Hₐ : p < 0.105

This is left-tailed hypothesis test.

Step 2:

The value of sample proportion (p-hat) = 11/134

The value of test statistic is

Z= (p-hat - p₀ )/√p₀(l-p₀)/n

Z = (11 /134 - 0.105)/√0.105(1-0.105) 134

Z= - 0.86512688616

Z = -0.865

Step 3 :

α =0.01 , Zα=-2.326

No, The test statistic does not lie in the rejection region

The P-value is

P-value= P(Z < z )

P-value= P(Z < -0.865 )

P-value= P(Z< -0.865)

P-value= 0.193519

P-value= 0.1935 > 0.01

Fails to Reject null hypothesis because P-value (0.1935) is greater than level of significance (0.01).

No, there is not sufficient evidence to conclude that the percentage of live births to mother under age 20 years of age in the United States has decreased below the 2006 level of 10.5%.

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Complete question:

In 2006, 10.5% of all live births in the United States were to mothers under 20 years of age. A sociologist claims that births to mothers under 20 years of age is decreasing. She conducts a simple random sample of 134 births and finds that 11 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.01 level of significance. Answer:

Step O: Verify Assumptions 1. Is this a simple random sample? (yes, no) 2. Is np. (1 - p.) > 10 ? (yes, no) 3. Is n < 0.05N? (yes, no)

Step 1: Parameter of interest: II.:P versus :p

Step 2: Test statistic: Sample Proportion= (Write your answer as a fraction without simplifying) Z. - (Use the value of the sample proportion as a fraction without simplifying in the formula of the test statistic and round your test statistic for three decimal places)

Step 3: Classical approach Z = (Rounded to three decimal places) Does the test statistic lie in the rejection region? (yes, no)

Step 4: p-value approach p-value= (Rounded to four decimal places) What is the relationship between p-value and a? p-value a. (>,<)

Step 5: Conclusion: Is there sufficient evidence to conclude that the percentage of live births to mothers under age 20 years of age in the United States has decreased below the 2006 level of 10.5%? (yes, no)

Answer:

D

Step-by-step explanation:

Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote

Answer:

B, C, and D

Step-by-step explanation:

They all have inequality signs, < or >, and the others are expressions

Sampling errors  cannot be measured statistically.

A sampling error can be described a the statistical error  which do take place when an analyst does not select a sample  which represents the entire population of data.

It should be noted that due to this type of error,  the results that can be gotten from this sample do not represent the results that can be associated with the entire population.

In conclusion, Sampling errors  cannot be measured statistically.

Therefore, the first option is correct.

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Answer:

\(2x = 8\)

Step-by-step explanation:

We first need to find the value of 'x'.

This means that we need to solve for 'x' in the equation that is given.

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

\(5x - 3 = 17\\\rule{150}{0.5}\\5x - 3 + 3 = 17 + 3\\\\5x = 20\\\\\frac{5x = 20}{5}\\\\\boxed{x = 4}\)

The value of 'x' is 4.

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

We then need to find the value of '2x' by replacing x with '4' and then evaluating.

\(2x; x= 4\\\rule{150}{0.5}\\2 \times 4\\\\\boxed{8}\)

The value of '2x' is 8.

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

Hope this helps!

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

The correct answer is:  " 4096 x⁶ " .

Step-by-step explanation:

Given:   [(4x)³] ² ;  Simplify.

Method 1)
Note the following multiplication property of exponents:
    ⇒ (aᵇ)ᶜ  = a⁽ᵇ*ᶜ⁾  ;

As such:

   [ [(4x)³] ²  = (4x)⁽²ˣ³⁾ = (4x)⁶ ;

Now; note the following property of exponents:
   (ab)ᶜ  = aᶜ * bᶜ  ;

As such:  (4x)⁶ = 4⁶ * x⁶ ;

Now; we can simplify 4⁶  ;  by using a calculator:
  →  4⁶  = 4096 ;

Or:  4⁶  =  4 * 4 * 4 * 4 * 4 * 4 ;

            =  (4 * 4) * 4 * 4 * 4 * 4 ;

            = 16 * 4 * 4 * 4 * 4 * ) ;

            = (16 * 4) * 4 * 4 * 4 ;

            =  64 * 4 * 4 * 4 ;  

            =   (64 * 4) * 4 * 4 ;

            =   (126 * 4) * 4    

            =  (256) * 4 ;

            =  4096 .
_______

or:   4⁶  = 4 * 4 * 4 * 4 * 4 * 4 ;

             =  (4 * 4) * (4 * 4) * (4 * 4) ;

             = 16 * 16 * 16 ;

             =  (16 * 16) * 16 ;

             = (256) * 16 ,   =  4096.

_______
So:       [(4x)³] ²  =  4⁶  *  x⁶  =  4096 x⁶ ;
_______
Method 2) Given: [(4x)³] ² ;

 (4x)³     =  4x * 4x * 4x ;

 [(4x)³]²  =  (4x * 4x * 4x)²

              = (4x * 4x * 4x) * (4x * 4x * 4x) ;

              =    (4 * 4 * 4 * x * x * x * 4 * 4 * 4 * x * x * x ;

              =   4 * 4 * 4 * 4 * 4 * 4 * x * x * x * x * x * x ;

 ⇒ (4 * 4 * 4 * 4 * 4 * 4)  = 4⁶  = 4096 ; (see Method 1 above).
 ⇒ (x * x *  x * x * x * x)  = x⁶ ;

                      ⇒  [(4x)³] ² =  4⁶ * x⁶ =  4096 x⁶ ;
_______
Method 3)
 [(4x)³] ²  = (4x)⁽²ˣ³⁾  = (4x)⁶ ;

      (4x)⁶ = 4x * 4x * 4x * 4x * 4x * 4x ;

              = 4 * 4 * 4 * 4 * 4 * 4 * x * x * x * x * x * x ;

              = (4 * 4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x) ;

⇒ (4 * 4 * 4 * 4 * 4 * 4) = 4⁶ = 4096 ; [see Method 1 above].
⇒  (x * x * x * x * x * x)  = x⁶ ;

                      ⇒   [(4x)³] ² =  4⁶ * x⁶ =  4096 x⁶ .

_______
The correct answer is:  " 4096 x⁶ " .

_______
Hope this is helpful.

  Best wishes in your academic endeavors!
_______

Answer:

Simplify (4x to the power of 3) power of 2

Step-by-step explanation:

The school I go to tells me to do this:

(4x^3)^2

(4x^3)(4x^3)

(4)(4) - 16

(x^3)(x^3) - x^6 bc you add the exponents

16x^6 which is correct bc my teacher has checked us on that before in class bc we have had equations like that ^_^

Answer:40

Step-by-step explanation:

Answer:5nth

Step-by-step explanation:

I think this is just a standard algebraic formula for an equation.

Answer:

44

Step-by-step explanation:

she set aside $44 for vacation

pls brainliest btw

Answer:

option 4

Step-by-step explanation:

Answer:

a

The answer is equal to price divided by quantity.

So the price is 18.72 for 3, so divide 18.72 by 3, and that gives you the answer. So the answer would be

A- 18.72/3=x/1

Step-by-step explanation:

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.

En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.

a)  Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?

Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.

Entonces, si un hombre gana una cantidad X, tendremos:

X = 100%

y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:

X = 100%

1300 francos = 68%

Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:

X/(1300 francos) = (100%/68%)

Ahora podemos resolver esto para X:

X = (100%/68%)*(1300 francos) = 1911.76 francos.

Un hombre en la misma posición ganaría 1911.76 francos.

b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?

Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.

El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:

1102 euros = 100%

Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:

X = 67%

Así, tenemos dos ecuaciones:

X = 67%

1102 euros = 100%

Tomando el cociente, obtenemos:

X/(1102 euros) = (67%/100%)

Resolviendo para X obtenemos:

X =  (67%/100%)*(1102 euros) = 738.34 euros

Una mujer en la misma posición ganaría 738.34 euros.

Answer:$3

Step-by-step explanation:

You always divide y by x. In this case 6/2 when you set up a chart. When you do this you get $3 unit rate.

1 (unit rate)             2

___________=_____

x (unit rate price)   6

Use cross products

1(6)=x(2)

6=2x

_____

2     2

x=3

Answer:

3

Step-by-step explanation:

Attached below .. i hope this is wht u were expecting!!

First, let's graph the complex number:

The trigonometric form will be given by:

The angle θ here is 225° (5π/4), the r-value will be

Now we have the trigonometric representation:

Therefore the correct answer is the letter D.

The locus of all points from which a given segment subtends equal angles is a circle. Therefore:

so:

Divide both sides by 2:

The factors of -18 that sum to 3 are 6 and -3, therefore:

So:

There are no whole numbers n that satisfy this characteristic

The difference of n and 10 must be a negative number for it to be less than 1, and no whole number can be negative.

Whole numbers are those that can only be represented as integers and don't include any fractional or decimal elements. They also go by the names "counting numbers" or "natural numbers," and they consist of the digits 0 through 9, including 1, 2, 3, 4, 5, 6, 7,, 8, and so on.

A whole number that can be either positive, negative, or zero is known as an integer. A group of integers that are not a fraction or a decimal, such as..., -2, -1, 0, 1, 2,..., are referred to as an integer in mathematics. The natural numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero are all included in the set of integers. Mathematicians employ integers for many various purposes, such as counting, organising, and performing arithmetic operations.

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Answer:

The mean is: 48.0

The median is: 49.5

The mode is: 50

The range is: 51

After adding 60 to the data set:

The new mean is: 53.8

The new median is: 54.0

There is no mode as all values occur only once now.

Question: The function \(f(x) = 3x-4\) has a range of \(\{-7, -1, 0, 5, 11, 20\}\).

What is the domain?

Domain: \(\{-1, 1,\frac{4}{3} , 3, 5, 8\}\)

Step-by-step explanation:

Domain is the input, and range is the output. In other words, the domain is the \(x\) value, and the range is the \(f(x)\) (the whole value, output). So we will solve each one step by step, all with the same solution. To reiterate, what is done for -7, for instance, will be done for every other range.

Start with -7. Remember, solve this accordingly.

Replace the \(f(x)\) with the range

\(f(x) = 3x - 4\\\\=-7 = 3x - 4\)

Solve

\(-7 + 4 = -3\)

(When adding negative a to a positive, it results in a negative.)

\(\frac{-3}{3} = -1\)

That's how you solve it.

Answer:

50 black, 40 blue, and 20 red.