1 point
Mr. Jones has 37.74 feet of ribbon for a border around a bulletin board for
his classroom. The board is 2.65 feet tall and 5.9 feet wide. How many feet
of ribbon will Mr. Jones have left after he puts the border around the
board? *
Your answer
This is a required question
What is 15 - - 10? *
1 poi

Answer:

To solve this problem, we can use the formula:

Speed = Distance / Time

The total distance traveled by the plane is 3,000 + 600 = 3,600 miles. The total time taken is 2 hours 30 minutes, or 2.5 hours.

So, the speed of the plane is:

Speed = 3,600 miles / 2.5 hours = 1,440 miles per hour

Therefore, the answer is 1440 mph

The number of crates of apples left is 90 - 72 = 18

90 crates of apples represent 100%.

To find what percent represent 18 crates of apples, we can use the next proportion:

Solving for x:

20 % is left

Answer:

Step-by-step explanation:

Fill in the blank with either E (true statement) or E NOT (false statement).

Series: 2, 17, 21, 35, _

The answer is (B) E NOT because the statement is untrue.

This is because of the absence of numerical flow in the series.

Answer:

\(-31\)

Step-by-step explanation:

We need to find the value of: \(3^2 - (5 * 2^3)\).

First we need to look at the BIDMAS rule.

B - Brackets

I - Indices

D - Division

M - Multiplication

A - Addition

S - Subtraction

First we need to work out what is in the brackets which is: \((5 * 2^3)\)

We look at the next rule which is Indices so we do \(2^3\) first.

\(2^3 = 2 * 2 * 2 = 8\)

Then we multiply it by the five which gets us:

\((5 * 8) =40\)

Now that we've finished with what is inside the brackets, we can work out what's outside which is:

\(3^2 = 3 * 3 = 9\).

Now we've simplified it down to:

\(9 - (40)\)

Which gets us:

\(9 - 40 = -31\)

Answer:

-31

Step-by-step explanation:

1. 3^2 - (5 * 2^3)

2. 2*2*2=8

3. 3^2 - (5 * 8)

4. 5*8=40

5. 3^2 - 40

6. 3*3=9

7. 9 - 40= -31

REMEMBER PEMDAS MEANS FIRST COME () NEXT IS ExponentsTHEN Multiplication and Division (from left to right) FINALLY Addition and Subtraction (from left to right).

I’m not sure if it’s correct or not but I tried my best…

690

Step-by-step explanation:

Answer:

5,700,000 miles

Step-by-step explanation:

\((1.9*10^{5})*30\\ \\190,000*30\\\\=5,700,000\)

Answer:

a. 0.52 = 52% probability that Linda gives the correct answer to a question.

b. 0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Supplies the correct answer:

Event B: Knows the answer

A. What is the probability that Linda gives the correct answer to a question?

0.4(knows the answer)

1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So

\(P(A) = 0.4 + 0.2*0.6 = 0.52\)

0.52 = 52% probability that Linda gives the correct answer to a question.

B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Intersection of events A and B is knowing the answer and giving the correct answer, which means that \(P(A \cap B) = 0.4\)

The desired probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692\)

0.7692 = 76.92% probability that Linda knows the answer

Answer:

Step-by-step explanation:

Answer:

82 Pa

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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The solution to the question is mathematically given as

1)

H0: M \(\geqslant\) 300

H0: M \(\geqslant\) 300

2)

Z distribution.

3)

z=-2.4

4)

P=0.0082

5)

"H0" is rejected as a hypothesis with a level of significance of 0.05.

Generally, the equation for is mathematically given as

Solutions

we have, \($u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}\)

(1):

H0: M \(\geqslant\) 300 dollars;  customers save at least 300 dollars per year by switching to them.

H0: M \(\geqslant\) 300 dollars:

(This is a left-tailed test)

(2):

when \(\sigma\) is known, we use the Z test. we use Z distribution.

(3):

\(\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}\)

(4):

\(Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082\)

(5):

In conclusion, Since p-value = 0·0082 <0.05

This is statistically significant at the 0.05 level.

We thus "Refect H0" using a threshold of significance of 0.05.

"H0" is rejected as a hypothesis with a level of significance of 0.05.

There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.

Therefore, we would not consider making the transition to this firm.

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At the school play, 225 adult tickets were sold.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The number of adult tickets sold be 'x',

Therefore, The number of student tickets would be 'x - 68'.

Therefore, The expression can be formed as,

x + (x - 68) = 382.

2x - 68 = 382.

2x = 450.

x = 225.

So, The number of adult tickets sold is 225.

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hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

The scouts eat 51 bags of chips on their trip

The given parameters are:

Boxes = 9

Bag = 10 chips

2 full boxes of potato chips and 3 bags left over.

This represents:

Potato chips = 2 * 10 + 3

Potato chips = 23 i.e. 23 bags potato chips are left over

1 fewer box of nacho chips than potato chips, with no bags left over

This represents

Nacho chips = (2 - 1) * 10

Nacho chips = 10 i.e. 10 bags of nacho chips are left over

The loose bags of potato chips is 3.

So, we have:

Barbecue chips = 2 * 3 bags

Barbecue chips = 6 bags

At this point, we have:

The total number of bags left over is

Total = 23 + 10 + 6

Total = 39

The number of bags eaten is:

Eaten = 9 * 10 - 39

Evaluate

Eaten = 51

Hence, the scouts eat 51 bags of chips on their trip

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Answer:

$6.69.420 and 20 cents

Step-by-step explanation:

Because I said so.

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Answer:

1) 6

2) \(\sqrt{15}\)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

EF= 6 ft

ST= 3.8 yd

Step-by-step explanation:

\(c= \sqrt{a^2+b^2} \\\)

\(8^2+x^2=10^2\)

64+x= 100

-64  = -64

x= \(\sqrt{36}\)

x=6

EF= 6 ft

\(x^2+1^2=4^2\)

x+ 1= 16

 -1  = -1

x= \(\sqrt{15}\)

x= 3.8

ST= 3.8

Hope this helped :)

Answer: The answer is 18 bread pieces

Step-by-step explanation:

SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Step-by-step explanation:

In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical. 

Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.

Example:√(x³) = square root of x³ = x^(3/2)

Hopefully this is what you need!

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)

Answer:

Step 2 is wrong. It's 16n-14. Not -16n+14.

Step-by-step explanation:

Do -16n+14, then add both sides.

16n=-14+18

16n+14n= -14n+18+14n

30n=18

30n/30 18/30

n=3/5

Answer:

Since RT = 12, TU = 6 and RS = 24, T and U are the midpoints of RS and TS respectively. This means that SU + UT = RT.

Answer:

su+ut=rt

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: D. Hope It helps!!!!!

Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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