What is the serving of coffee? 1 quart, 1 ml, or 1 c

Answer:

B

Step-by-step explanation:

Given

x² + 14x = 51

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = 51 + 49 , that is

(x + 7)² = 100 ( take the square root of both sides )

x + 7 = ± [tex]\sqrt{100}[/tex] = ± 10 ( subtract 7 from both sides )

x = - 7 ± 10

Thus

x = - 7 - 10 = - 17

x = - 7 + 10 = 3

Answer:

It's written as

[tex]2.6 \times {10}^{ - 3} [/tex]

Hope this helps you

Answer:

2.6 × 10⁻³

Step-by-step explanation:

To write a number in scientific notation, move the decimal to the right or left until you reach a number that is 1 or higher.

In the decimal 0.0026, the first number that is 1 or higher is 2.

0.0026 ⇒ 2.6

When trying to figure out the exponent, here are some things to keep in mind:

- when you move the decimal to the right, the exponent is negative

- when you move the decimal to the left, the exponent is positive

You moved the decimal to the right three places. So the exponent will be -3.

The result is 2.6 × 10⁻³.

Hope this helps. :)

Answer:

[tex]2\frac{1}{5}[/tex]

Step-by-step explanation:

11 ÷ 5 = 2 R 1 → [tex]2\frac{1}{5}[/tex]

Hope this helps! :)

Answer:

C

Step-by-step explanation:

undefined slope means tat the denominator=0 in the equation

m=y2-y1/x2-x1

A: m=-1-1/1+1=-2

B;2-2/2+2=0

C: 3+3/-3+3 = 6/0 undefined

D: 4+4/4+4=1

Answer:

26 rows

Step-by-step explanation:

[tex]number \: of \: rows \\ = \frac{40}{ \frac{20}{13} } \\ \\ = \frac{40 \times 13}{20} \\ \\ = 2 \times 13 \\ \\ = 26 \: [/tex]

Answer:

The actress had more extreme age when winning the​ award.

Step-by-step explanation:

We are given that for all the best​ actors, the mean age is 43.4 years and the standard deviation is 8.8 years. For all best​ actresses, the mean age is 38.2 years and the standard deviation is 12.6 years.

To find who had the more extreme age when winning the​ award, the actor or the​ actress, we will use the z-score method.

Let X = age of the winner for best actor

The z-score probability distribution for the normal distribution is given by;

                            Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean age = 43.4 years

            [tex]\sigma[/tex] = standard deviation = 8.8 years

It is stated that the age of the winner for best actor was 34, so;

   z-score for 34 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                            =  [tex]\frac{34-43.4}{8.8}[/tex]  = -1.068

Let Y = age of the winner for best actress

The z-score probability distribution for the normal distribution is given by;

                            Z  =  [tex]\frac{Y-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean age = 38.2 years

            [tex]\sigma[/tex] = standard deviation = 12.6 years

It is stated that the age of the winner for best actress was 62, so;

   z-score for 62 =  [tex]\frac{Y-\mu}{\sigma}[/tex]

                            =  [tex]\frac{62-38.2}{12.6}[/tex]  = 1.889

Since the z-score for the actress is more which means that the actress had more extreme age when winning the​ award.

Answer:

Hello!

________________________

5c + 16.5 = 13.5 + 10c

Exact Form:  c = 3/5

Decimal Form: c = 0.6

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

3000+3d=noods

Step-by-step explanation:

Answer:

Amount after 12 years is $205.42

Step-by-step explanation:

Fibal amount a is not given and to be found

Principal amount p = $100

Rate r = 6% ° 0.06

Years t = 20

Number if times computed n = 20*12

n = 240

a(t)=p(1+r/n)^nt

a = 100(1+0.06/240)^(240*12)

a = 100(1+0.00025)^(2880)

a= 100(1.00025)^2880

a= 100(2.054248)

a= 205.4248

To the nearest cent

a =$ 205.42

Amount after 12 years is $205.42

Two ratios that are equal to 7:6 are 14:12 and 21:18, as they are the same, but 7 and 6 are multiplied by the same number (2 in the first, and 3 in the second.)

Answer:

96.08% probability that their mean rebuild time is less than 8.9 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

[tex]\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846[/tex]

Find the probability that their mean rebuild time is less than 8.9 hours.

This is the pvalue of Z when X = 2.9.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2.9 - 2.4}{0.2846}[/tex]

[tex]Z = 1.76[/tex]

[tex]Z = 1.76[/tex] has a pvalue of 0.9608

96.08% probability that their mean rebuild time is less than 8.9 hours.

Answer: The difference between the estimated and real value of 55-21 is about 4 or 5

Step-by-step explanation:

Answer:

The difference between the estimate and the real value of 55-21 is that when you estimate you're giving an educated guess and the real value is when you're actually doing the work to prove your answer and not just guess.

Step-by-step explanation:

Real Value

55-21=34

 55

- 21

 34

Estimated

55-21=32

4 times 4 is 16, think of it like 4 + 4 + 4 + 4.

4 times 4 is 16, think of it like 4 + 4 + 4 + 4.

Answer:

x - y = -7

Step-by-step explanation:

Standard Form: Ax + By = C

Step 1: Move the x over

-x + y = 7

Step 2: Factor out a -1

-1(x - y) = 7

Step 3: Divide both sides by -1

x - y = -7

Answer:

x-y = -7

Step-by-step explanation:

Ax + By = C  is the standard form for a line where A is a positive number

y = x + 7

Subtract x from each side

-x+y = x+7-x

-x+y = 7

Multiply each side by -1

x-y = -7

Step-by-step explanation:

Head(H) Tails(T)

Sample space is S (HHH,HHT,HTH,THH)

Event(HHT,HTH,THH)

so the probability is 3/4

Answer:

3/4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If two lines are parallel, their slopes are the same.

Since the slope of line l is 4/9, this means that the slope of line m must also be 4/9.

Answer:

C. 4/9

Step-by-step explanation:

Parallel lines have equal slopes.

Since line l and line m are parallel, then their slopes must be the same.

[tex]m_{l} =m_{m}[/tex]

We know that the slope of line l is 4/9

[tex]\frac{4}{9} = m_{m}[/tex]

Line l has a slope of 4/9, therefore line m must also have a slope of 4/9.

The correct answer is C. 4/9

Answer:

a) 12

b) 129

Step-by-step explanation:

a)

[tex]w, x \in \mathbb{Z}_{\ge 0}[/tex]

[tex]w>50\\x<40[/tex]

For the smallest value of [tex]w-x[/tex], we gotta figure out the smallest value for w and the highest value for x.

[tex]w>50 \Rightarrow \text{ smallest value is } 51[/tex]

For [tex]x[/tex], once [tex]-(-x)=x[/tex], we conclude that [tex]x[/tex] cannot be negative and therefore, [tex]x=39[/tex].

[tex]51-39=12[/tex]

b)

[tex]y, z \in \mathbb{Z}_{\ge 0}[/tex]

[tex]y<70\\z\leq 60[/tex]

For the largest value of [tex]y+z[/tex], we gotta figure out the highest value for y and z.

[tex]y<70 \Rightarrow \text{ highest value is } 69[/tex]

[tex]z\leq 60 \Rightarrow \text{ highest value is } 60[/tex]

[tex]y+z=69+60=129[/tex]

Answer:

15√20/6√125

=√20/√5

=2

Step-by-step explanation:

Answer:

B. e^x+3

Step-by-step explanation:

Y=e^x

the graph is moving 3 units up

y= y+3

y=e^x+3

answer = y=e^x+3

Answer: B

Step-by-step explanation:

Convert the 6 seconds to hours:

5 seconds x x 1/60 ( minutes per seconds) x 1/60 (Hours per minute) = 6/3600 = 1/600 hours.

Distance = speed x time

Distance = 585 x 1/600 = 585/600 = 0.975 miles

Convert miles to feet:

0.975 x 5280 = 5,148 feet

The plane traveled 5,148 feet in 6 seconds.

the value of x is 115°.

hope its helpful to uh..

Answer:

  y = 640x +4760

Step-by-step explanation:

Given:

  (x, y) = (years past 1998, number of vehicles) = (0, 4760), (3, 6680)

Find:

  a slope-intercept form linear equation through these points

Solution:

The 2-point form of the equation of a line is a useful place to start:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6680 -4760)/(3 -0)(x -0) +4760

  y = 1920/3x +4760

  y = 640x +4760 . . . . . the desired equation

Answer:

Step-by-step explanation:

Let the length and width of the rectangular package be x and y respectively. Since end of the package is a square, the perimeter of the package will be expressed as P = 4x+y and the volume will be expressed as V = x²y

If a postal service will accept a package if its length plus its girth is not more than 96 inches, then the perimeter is equivalent to 96 inches.

96 = 4x+y

y = 96-4x

Substituting the value of x into the formula for calculating the volume, we will have;

V(x) = x²(96-4x)

V(x) = 96x²-4x³

To get the dimensions and volume of the largest package, we will find V'(x) and equate it to zero.

V'(x) = 192x-12x²

192x-12x² = 0

Factoring out x;

x(192-12x) = 0

x = 0 and  192-12x = 0

12x = 192

x = 192/12

x = 16

This shows that we have a maximum value at x = 16 and minimum at x = 0

To get y, we will substitute x = 16 into the expression y = 96-4x

y = 96-4(16)

y = 96-64

y = 32

- The dimensions of the largest package is therefore 16in by 16in by 32in

- Volume of largest package = x²y = 16²*18 = 8,192in³

(4x-16)/3 = 36

4x-16 = 108

4x = 108+16

4x = 124

x = 124/4

x = 31

Answer:

x = 31

Step-by-step explanation:

=> [tex](4x-16)\frac{1}{3} = 36[/tex]

Multiplying 3 to both sides

=> [tex]4x-16 = 36*3[/tex]

=> 4x-16 - 108

Adding 16 to both sides

=> 4x = 108+16

=> 4x = 124

Dividing both sides by 4

=> x = 31

Answer:

B: 304in^2

Step-by-step explanation:

One triangle face: (8)(15) ÷ 2 = 60

Four triangle faces: 60 x 4 = 240

Bottom Face: (8)(8) = 64

Total Surface Area: Four triangle faces + Bottom Face

Total Surface Area: 240 + 64

Total Surface Area: 304in^2

Recall the definition of the cross product:

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

The cross product is antisymmetric, or anticommutative, meaning that for any  vectors u and v, we have u x v = - (v x u).

It's also distributive, so for any vectors u, v, and w, we have (u + v) x w = (u x w) + (v x w).

Taking all of these properties together, we get

b x a = (6i - j + 2k) x (2i + 2j - 5k)

b x a = 12 (i x i) - 2 (j x i) + 4 (k x i)

............. + 12 (i x j) - 2 (j x j) + 4 (k x j)

............. - 30 (i x k) + 5 (j x k) - 10 (k x k)

b x a = 1 (j x k) + 34 (k x i) + 14 (i x j)

b x a = i + 34j + 14k

Answer:

Short answer, it is D)  i+34j + 14k

Step-by-step explanation:

Edge 2021.

Maya should Isolate the variable x² option (A) Isolate the variable x² is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Maya is solving the quadratic equation by completing the What should Maya do first? square.

4x² + 16x + 3 = 0

We have a quadratic equation:

4x² + 16x + 3 = 0

To make the perfect square

Maya should do first:

Isolate the variable x²

To make the coefficient of x² is 1.

4(x² + 4x + 3/4) = 0

x² + 4x + 3/4 = 0

x² + 4x + 2² - 2² +  3/4 = 0

(x + 2)² - 4 + 3/4 = 0

(x + 2)² = 13/4

x + 2 = ±√(13/4)

First, take the positive and then the negative sign.

x = √(13/4) - 2

x = -√(13/4) - 2

Thus, Maya should Isolate the variable x² option (A) Isolate the variable x² is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ5

Answer:

neither

Step-by-step explanation:

First we must determine if both x and -x are in the domain of the function

since it is a polynomial function our first condition is satisfied

Then we should calculate the image of -x :

2x(-x)^3 + 3*(-x)² = -2x^3+3x²

it is not equal to f(x) nor -f(x)

Answer:

True.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We can simply plug in the 3 variables to see if it forms a Pythagorean Triple:

6² + 13² = 14.32²

36 + 169 = 205.062

205 = 205 (rounded), so True.

Answer:

D

Step-by-step explanation:

We calculate the z-score for each

Mathematically;

z-score = (x-mean)/SD

z1 = (1.9-2.1)/0.2 = -1

z2 = (2.3-2.1)/0.2 = 1

So the proportion we want to calculate is;

P(-1<x<1)

We use the standard score table for this ;

P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%

Answer:

68

Step-by-step explanation:

Answer:

The upper confidence bound for the true average difference between 1-minute modulus and 4-week modulus is 2933.82.

Step-by-step explanation:

Compute the mean difference and standard deviation of the difference as follows:

[tex]\bar d=\frac{1}{n}\sum d_{i}=\frac{1}{15}\times [1380+3370+2580+...+3520]=2642.67\\\\S_{d}=\sqrt{\frac{1}{n-1}\sum (d_{i}-\bar d)^{2}}\\=\sqrt{\frac{1}{15-1}[(1380-2642.67)^{2}+(3370-2642.67)^{2}+...}=525.69[/tex]

The degrees of freedom is:

df = n - 1

   = 15 - 1

   = 14

Th critical value of t is:

[tex]t_{\alpha/2, (n-1)}=t_{0.05/2, 14}=2.145[/tex]

*Use a t-table.

Compute the upper confidence bound for the true average difference between 1-minute modulus and 4-week modulus as follows:

[tex]\text{Upper Confidence Bound}=\bar d+t_{\alpha/2, (n-1)}\cdot \frac{S_{d}}{\sqrt{n}}[/tex]

                                        [tex]=2642.67+2.145\cdot \frac{525.69}{\sqrt{15}}\\\\=2642.67+291.15\\\\=2933.82[/tex]

Thus, the upper confidence bound for the true average difference between 1-minute modulus and 4-week modulus is 2933.82.