Jane has 63m ribbon.If she cuts 56m 21cm ribbon from it,what length of ribbon will be left.​

Answer:

correct answer is option (d)

120

Step-by-step explanation:

Tip:  

The area of a rectangle is the region occupied by a rectangle within its four sides or boundaries.

given length   l = (x+2)

given width    b= (x+4)

perimeter =44

2(l+b) =44

2[x+2+x+4]=44

4x +12 =44

4x = 32

x= 8

now length = x+2 =8+2 = 10

width  = x+4 = 8+4 = 12

area of rectangle = l x b = 10 x 12

    =120

Answer:

The surface of the rectangular prism is 268

Step-by-step explanation:

SA=2B+ph if u use this it will help you as it is the formula for surface area i hope this helps

The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.

1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.

2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.

3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.

4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

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Answer:

x < -5

Step-by-step explanation:

-x > 5

~Divide -1 to both sides

x < -5

Best of Luck!

Answer: You divide by -1

Step-by-step explanation: The coefficient of -1 is implied.

Answer:

1240 cm²

Step-by-step explanation:

         \(\boxed{\text{\bf Surface area of triangular prism = bh + (s_1+s_2+s_3)*l }}\)

\(\boxed{ \text{ \bf Surface area of triangular prism = $ \bf bh + (s_1+s_2+s_3)*l$ }}\)

b = base of the triangle = 16 cm

h = altitude of the triangle = 15 cm

s1 , s2 ,s3 are the edges of the triangle

s1 = 16 cm ; s2 = 17cm ;  s3 = 17 cm

l = length of the rectangle = 20 cm

   Surface area = 16*15 + (16 + 17 + 17)*20

                         = 240 +  50*20

                         = 240 + 1000

                         = 1240 cm²

Thomas considers cohesion to be the presence of strong positive bonds between members of a group. In his perspective, cohesion represents a sense of unity, attachment, and solidarity among individuals within the group.

Cohesion, according to Thomas, goes beyond mere cooperation or coordination of activities. It encompasses the emotional and social aspects of group dynamics, emphasizing the quality and strength of the relationships between members. The existence of strong positive bonds implies that individuals feel connected, trust each other, and have a shared sense of identity and purpose.

Thomas likely believes that cohesive groups are characterized by mutual support, collaboration, and a sense of belonging. Members are more likely to work together effectively, communicate openly, and have a higher level of commitment to group goals. Cohesion may also contribute to increased satisfaction, motivation, and overall well-being within the group.

Thomas's perspective aligns with the socio-emotional aspect of group cohesion, emphasizing the interpersonal connections and social dynamics that contribute to the cohesiveness of a group.

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Answer:

The error is in line iii

And the correct solution is;

Explanation:

Given the equation;

Solving for d, we have;

multiply through by 2 to get;

then we will square both sides;

Adding 1 to both sides;

Therefore;

The error is in line iii

And the correct solution is;

Here is sufficient evidence that revenue and the number of downloads are linearly related.

A computer software developer would like to use the number of downloads for the trial version of his new shareware to predict the amount of revenue.

The Null hypothesis is the common statistical theory that asserts that no statistical relationship or significance exist between two sets of observed data and measure phenomena based on a single observed variable.

Therefore the null hypothesis become,

H₀ : ρ₁ = 0

and the adjacent hypothesis will become,

H₁ : ρ ≠ 0

Now we will calculate test statistic,

t = r × \(\sqrt{\frac{n-2}{1-r^{2} } }\)

 = (0.8691) × \(\sqrt{\frac{30 - 2}{0.1309^{2} } }\)

t = 9.2974

we know that degree of freedom = n - 2 = 28

p-value at t = 9.2974 is 0.00

α = 0.05

since p-value < α

so null hypothesis will be rejected.

Hence we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

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Answer:

F = K - 459.67

Answer: -8x-4

Step-by-step explanation:

The equation is supposed to be simplified.

-2x-6x=8x

8x-4

Answer:

Step-by-step explanation:

go up to the 85 on the grade track that over until you meet the dot.

that dot says it would be 3 hours

The cost of one adult's admission is  $42.

2a + 4c = $196 equation 1

a - c = $14  equation 2

Where:

a -= cost of adult's ticket

b = cost of children's ticket

Make c the subject of the formula in  equation 2

a - 14 = c  equation 3

Substitute for c in  equation 1

2a + 4(a - 14) = 196

2a + 4a - 56 = 196

6a = 252

a = 252÷6

a = $42

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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Answer:

Since each question has 3 choices and only one is correct, the probability of answering a single question correctly is 1/3.

To find the probability of answering all 10 questions correctly, we need to multiply the probabilities of each individual question together, since the events are independent.

Therefore, the probability of acing the test is:

(1/3)^10 = 0.000005904

Or approximately 0.0006%, which is a very small probability.

Step-by-step explanation:

The experimental study design described is a 2x2 factorial design, where two independent variables (intervention and pretest) are crossed to create four groups for examining the main and interaction effects on the dependent variable.

Factorial designs allow researchers to examine the effects of multiple independent variables on a dependent variable. In this case, the two independent variables are the intervention (receiving vs. not receiving) and the pretest (receiving vs. not receiving). The two levels of each independent variable are crossed to create four different groups, two of which receive the intervention and two of which do not, two of which receive a pretest, and two of which do not.

This design allows the researcher to examine both the main effects of each independent variable and the interaction effects between the two independent variables on the dependent variable.

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Answer:

Step-by-step explanation:

the longest side of a right triangle, opposite the right angle.

The dimensions of the box that minimize total cost are height h =3.17m, width, w and length, l=9.52m  are equal to  .

Let h is the height of the box.

Given Volume of the box is 216 m³  with no top.

And the cost of the bottom is 40USD/m².

For the sides, it is 30USD/m².

The bottom of the box is square, so l = w.

So Volume

\(V=hl^{2}\)

\(216=hl^{2}\)

\(h=\frac{216}{l^{2} }\)

Now Surface Area of the box without a top is

S = 4hl + l²

So,

cost = 4 × 30hl +40l²

cost = 120 hl + 40 l²

Putting h ,

cost = 120 × \((\frac{216}{l^{2} })l + 40l^{2}\)

cost = \(\frac{25960}{l^{2} }+40l^{2}\)

To find minimum cost, derivate the  by using the calculator at

\(l=3\sqrt[3]{4}\)

l=4.762203 m

\(h=\frac{216}{4.762203^{2} }\)

h = 9.5244069354 m

Hence the dimensions of the box are

l=w

 =9.52 m

and height ,h=3.17 m  

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The width of the opening is 2x, which equals 2(4√2) = 8√2 feet. To solve this problem, we'll use the properties of a paraboloid of revolution.

Given that the light source is located 2 feet from the base along the axis of symmetry and the depth of the searchlight is 4 feet, we have the vertex of the parabola at (0, 2). We also know the focus of the parabola is at the light source, which is at (0, 0).
Since the parabola opens downward, its equation is of the form (x - h)² = -4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.
In our case, h = 0, k = 2, and p = 2. So the equation becomes x² = -4(2)(y - 2) or x² = -8(y - 2).
At the opening, the paraboloid is 4 feet deep, so y = -2. Substituting this value into the equation, we get:
x² = -8(-2 - 2) => x² = 32
Now, we find the width by solving for x:
x = ±√32 => x = ±4√2

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The width of the opening of the searchlight is 2√32 feet.

To find the width of the opening of the searchlight, we'll first determine the equation of the parabola and then use that to find the width.
Identify the vertex and focus:

The vertex is at the base of the searchlight (0, 0) and the focus is 2 feet from the base along the axis of symmetry,

so it's located at (0, 2).
Determine the equation of the parabola:

Since the parabola opens upward, its equation will be in the form \((x-h)^2 = 4p(y-k),\)

where (h, k) is the vertex and p is the distance from the vertex to the focus.

In this case, h = 0, k = 0, and p = 2,

so the equation is \(x^2 = 4(2)(y) or x^2 = 8y.\)
Find the width at the depth:

Since the depth of the searchlight is 4 feet, we'll find the width at y = 4. Substitute y = 4 in the equation:

\(x^2 = 8(4)\), which gives \(x^2 = 32\).

To find the width, we need the distance between the two points where x is positive and negative, so x = ±√32.
Calculate the width of the opening:

The width of the opening is the difference between the positive and negative values of x, which is 2√32.

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Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

Answer:

48

Step-by-step explanation:

Because it’s the biggest number

Answer:

The answers are

→ a. 15

→ b. 27

→ c. 4

→ d. 72

→ e. 2

→ f. 9

→ g. 1

Step-by-step explanation:

Given expressions:

a. 7 + 2³

b. 9 • 3¹

c. 20 - 2⁴

d. 2 • 6²

e. 8 • (1/2)²

f. 1/3 • 3³

g. (1/5 • 5)⁵

a. 7 + 2³

\(7+2^3\)

\(2^3 = 8\)

\(8 + 7 = 15\)

Hence, 15 is your answer.

b. 9 • 3¹

\(9*3^1\)

⇒ \(9*(3)\)

⇒ \(27\)

Hence, 27 is your answer.

c. 20 - 2⁴

\(20 - 2^4\)

\(2^4 = 16\)

\(20-16 = 4\)

Hence, 4 is your answer.

d. 2 • 6²

\(2 * 6^2\)

⇒ \(2*6^2\)

⇒ \(2*(6*6)\)

⇒ \(72\)

Hence, 72 is your answer.

e. 8 • (1/2)²

\(8 * (\frac{1}{2})^2\)

⇒ \(8*((\frac{1}{2})*(\frac{1}{2}))\)

⇒ \(2\)

Hence, 2 is your answer.

f. 1/3 • 3³

\(\frac{1}{3} * 3^3\)

⇒ \(9\)

Hence, 9 is your answer.

g. (1/5 • 5)⁵

\((\frac{1}{5} * 5)^5\)

⇒ \(1*1*1*1*1\)

⇒ \(1\)

Hence, 1 is your answer.

Answer:

100(10t-x)

Step-by-step explanation:

factor 100 out from the expression

Answer:

Below

Step-by-step explanation:

a^2 + b^2 = c^2       subtract  a^2 from both sides

b^2 =  c^2 - a^2    

   take the positive sqrt of both sides ( since you can't have a negative length)

b = sqrt (c^2 - a^2)    

Answer:

i don't know ha ha ha ha sorry

Answer:

C

Step-by-step explanation:

Because for every x value there is only one y value

Answer:

f(0) = 1

Step-by-step explanation:

The graph given to us shows that we have 2 values for y when x = 0. Since point (0, 0) is an open dot, it is not included in the function, meaning it is not usable. The other point, (0, 1), is a closed dot, so we can use that. Therefore, f(0) = 1.

Answer:

y=8x+1

Step-by-step explanation:

y=mx+b

m=rise/run=(8)/(1)=8

y=8x+b

b is the y-intercept  

y=8x+1

The probability of receiving two calls in a 5-minute interval is:

P(X = 2) = (e^-4 * 4^2) / 2! = 0.0902

The probability of receiving exactly 10 calls in 15 minutes is:

P(Y = 10) = (e^-12 * 12^10) / 10! = 0.1143

(a) Let X be the number of calls received in a 5-minute interval. The arrival rate of calls is 48/60 = 0.8 calls per minute. Then, X follows a Poisson distribution with mean λ = 0.8 * 5 = 4. The probability of receiving two calls in a 5-minute interval is:

P(X = 2) = (e^-4 * 4^2) / 2! = 0.0902

(b) Let Y be the number of calls received in a 15-minute interval. The arrival rate of calls is 48/60 = 0.8 calls per minute. Then, Y follows a Poisson distribution with mean λ = 0.8 * 15 = 12. The probability of receiving exactly 10 calls in 15 minutes is:

P(Y = 10) = (e^-12 * 12^10) / 10! = 0.1143

(c) Let Z be the number of callers waiting after 5 minutes. The arrival rate of calls is 48/60 = 0.8 calls per minute. Then, Z follows a Poisson distribution with mean λ = 0.8 * 5 = 4. The expected number of callers waiting after 5 minutes is:

E(Z) = λ = 4

The probability that none will be waiting is:

P(Z = 0) = e^-4 = 0.0183

(d) Let W be the waiting time until the next call. The time between calls follows an exponential distribution with rate λ = 48/60 = 0.8 calls per minute. Then, the probability that the agent can take 2 minutes for personal time without being interrupted by a call is:

P(W > 2) = e^(-0.8 * 2) = 0.4493

Alternatively, we can use the memoryless property of the exponential distribution to calculate:

P(W > 2) = P(W > 1 + 1) = P(W > 1) * P(W > 1) = e^(-0.8 * 1) * e^(-0.8 * 1) = 0.4493.

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none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Children who are 4 years old frequently count up to 1,0and have mastered skip counting. There are many chances to deepen their comprehension at home using basic math games.

In order to calculate the size of a set, or the number of items in a finite set, one must count. Calculating the amount or total number of items in a collection or group is what is meant when we say we are counting in arithmetic. To count, then, is to speak numbers in sequence while giving each item in a group a value based on a one-to-one correlation. Objects are counted using counting numbers.

Children who are eight years old frequently count up to 1,000 and have mastered skip counting. There are many chances to deepen their comprehension at home using basic math games.

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