find the circumference of circle A, when the length of arc DE=64

Answer:

-8°C Degrees in Toronto

Step-by-step explanation:

Just calculate it.

If you minus 3 from -5, then you will get -8, so hence, your answer is -8.

Answer:

-8 (degrees)C

Step-by-step explanation:

-5-3=-8

Answer: It will take her more than 9 weeks.

Step-by-step explanation:

If she already has $150 that will be constant and if she can save $45 per week  the we will have the expression 45w  where w is the number of weeks.

Together it will  be  150 + 45w    

Now the money has to be at least $560  so it will be

150 + 45w ≥ 560  Now solve for w

-150              -150

45w ≥ 410

w ≥ 9.1  

Which means it will take 10 or more weeks t

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

The constant of proportionality is 10. The correct option is C.

Given that the busy bee store bottles fresh jars of honey at a constant rate in 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey.

We have to find the constant of proportionality.

The constant of proportionality is the ratio of the so-called proportional relationship that relates two given values ​​to each other.

As it is given that in 2 hours 20 jars of honey filled.

That means the constant of proportionality is ratio of jars with time and we get

r₁=20/2

r₁=10 jars in hour

Similarly, it is given that in 5 hours 50 jars of honey filled.

That means the constant of proportionality is ratio of jars with time and we get

r₂=50/5

r₂=10 jars in hour

Here, r₁=r₂=10 which is the constant of proportionality.

Hence, the constant of proportionality when the busy bee store bottles fresh jars of honey at a constant rate. in 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey is 10.

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Answer:

The value of X is 10 As the two triangles are similar X= 10

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:

20 students

Step-by-step explanation:

You first have to add the number of students all up and you get 200.Then you do cross multiplication.

40/200 x s/100=

40x100= 4000=

200xs= 200s=

200s/200=

4000/200=

20=

Answer: A=33 ft^2

Step-by-step explanation:

P=perimeter. A=Area. l=length. w=width.

P=2l+2w

24 1/4=2(8)+2w

(24*4+1)/4=16+2w

(96+1)/4=16*4/4+2w

97/4=64/4+2w

2w=33/4

w=33/8

A=l*w

A=8*33/8

A=33*8/8

A=33*1

A=33 ft^2

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The results would be statistically valid if the p-value is less than the level of significance (α).

If the p-value is less than α, then we can reject the null hypothesis and conclude that the alternate hypothesis is true.

Let us understand the steps we need to take to infer the standard deviation of WISC-III.

It is given that the Wechsler Intelligence Scale for Children (WISC) is a common test used to measure the IQ of children between the ages of 6 and 16 years of age.

The developers of the WISC claim a population standard deviation of 15.

Step 1: Calculate the t-value and degree of freedom.

Given: Sample size (n) = 30Degree of Freedom (df) = n - 1 = 30 - 1 = 29

Confidence Interval = 90%t - value = 1.699 (from the t-distribution table)

Step 2: Calculate the margin of error

Margin of error (E) = t-value * (Sample Standard Deviation / sqrt(n)) = 1.699 * (16 / sqrt(30)) = 5.027Step 3: Calculate the Confidence Interval

Lower limit = Sample Standard Deviation - Margin of Error

Upper limit = Sample Standard Deviation + Margin of Error

Lower limit = 16 - 5.027 = 10.973

Upper limit = 16 + 5.027 = 21.027

Therefore, the 90% Confidence Interval for the true standard deviation of the WISC is 10.973 to 21.027.

What would need to be true for your results in part a to be statistically valid:

In order for the results in part a to be statistically valid, the null hypothesis needs to be rejected.

The null hypothesis states that the population standard deviation is equal to 15.

The alternate hypothesis states that the population standard deviation is greater than 15.

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The value of x is 10.

Given triangle is a right-angled triangle.

Let the lengths of not mentioned lengths be 2p(hypotenuse) and 2q (other side).

There are two triangles in the given picture.

Consider the smaller triangle.

Apply Pythagoras theorem to that i.e.,

\(p^{2}\) = \((3x)^{2} + q^{2}\)

(Here, total hypotenuse is 2p length and the smaller triangle has half of its length. So, length is p. Similarly in case of q)

\(p^{2} = 9x^{2} + q^{2}\)  (Equation 1)

Now, consider the large triangle.

Apply Pythagoras theorem to that i.e.,

\((2p)^{2} = (4x + 20)^{2} + (2q)^{2}\)

\(4p^{2} = (16x^{2} + 160x + 400) + 4q^{2}\)

Substitute \(p^{2}\) from Equation 1

\(4(9x^{2} + q^{2} ) = 16x^{2} + 160x + 400 + 4q^{2}\\\)

\(36x^{2} + 4q^{2} = 16x^{2} + 160x + 400 + 4q^{2}\)

\(36x^{2} = 16x^{2} + 160x + 400\)  (\(4q^{2}\) from both sides got cancelled)

\(20x^{2} - 160x - 400 = 0\)

Solving the quadratic equation,

\(20x^{2} - 200x + 40x - 400 = 0\)

\(20x(x - 10) + 40(x - 10) = 0\)

\((20x+ 40)(x - 10) = 0\)

So, 20x + 40 = 0 or x - 10 = 0

i.e., x = -2 or 1o

But \(x \neq -2\) because angles cannot be negative.

So, x is 10.

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Answer:

1/6

Step-by-step explanation:

an even number has a 1/2 chance of being rolled and a number greater than 4 has a 1/3 chance of getting rolled. multiply 1/2 and 1/3 together and you get 1/6 for your answer.

Answer:

AB = 5

Step-by-step explanation:

If the triangle is isosceles, then it has two equal sides, which must be facing the equal angles of the triangle (in our case the sides facing angles; \(\angle A\)  and  \(\angle C\)) . That means that side AB equal side BC, then you can say:

\(AB=BC\\3x-4=5x-10\\10-4=5x-3x\\6=2x\\3=x\)

Now, if x=3, then using the formula for side AB they gave you:

\(AB=3x-4=3(3)-4=9-4=5\)

Answer:

5 units.

Step-by-step explanation:

Because the triangle is isosceles the 2 sides opposite the equal angles are congruent.

AB = BC so:

3x - 4 = 5x - 10

10 - 4 = 5x - 3x

2x = 6

x = 3.

So the length of AB = 3(3) - 4 =  5 units.

The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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Answer:

The answer is b = 7

Step-by-step explanation:

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

~Hoped this helped~

Answer:

-23

Step-by-step explanation:

Let first negative integer = x

The second = x +5

Their product = 126, hence,

x * (x +5) = 126

x^2 + 5x = 126

x^2 + 5x - 126 = 0

Two numbers whose product gives - 126 and sun gives 5

x(x + 14) - 9(x+14) =0

(x - 9) = 0 or (x + 14) = 0

x = 9 or x = - 14

Since x is said to be a negative integer,, the our x = - 14

First integer = - 14

Second integer = (x + 5) = (-14 + 5) = - 9

Sum of both integers :

-14 + - 9 = - 23

Answer:

-23

Step-by-step explanation:

Doing it on EDG right now!

Can confirm that the person above me is correct!

Wish you all luck :)

Answer:

Step-by-step explanation:

\(V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m\)

A group of penguins swam 4/5 mile in 1/3 hour, \(\frac{4*3}{5}=\frac{12}{5}\)  miles did the penguins swim in one hour.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

We frequently employ these fundamental mathematical operations in our daily lives: +, -,, and. We employ mathematical operations for every situation when we must determine the annual budget or distribute things equitably to a lot of people.

\(\frac{4}{5}\) miles swim in \(\frac{1}{3}\) hour

swim in one hour = \(\frac{4*3}{5}=\frac{12}{5}\) mile

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Answer:

It is ( - 0.25)

Step-by-step explanation:

I hope that is useful for you :)

Answer:

It would be -0.25.

Step-by-step explanation:

it is a negative if a number is less than zero.

we got the first step down.

next step,

the -0.25 part.

the fraction of one fourth in decimal is 0.25

but its negative so it will be: -0.25.

So...

I hope this helps.      :)

Answer:

Step-by-step explanation:   / sign = divide

1 OPTION IS CORRECT

 2 x (4+2) - 6        =           14 / (3.5x2) + 4

2x 6 - 6       =         14 / 7 +4         ( bodmas used )

12-6   =      2+4

6         =       6

they are equal

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Given that det(A) = 5, the determinant of 2(adj A) is 200.

To find the determinant of 2(adj A), we need to understand the properties of the adjugate matrix and the determinant.

First, let's define some terms:

A is a 3 x 3 matrix.

adj(A) represents the adjugate matrix of A, which is obtained by taking the transpose of the cofactor matrix of A.

det(A) is the determinant of matrix A.

We are given that det(A) = 5. This means that the determinant of matrix A is equal to 5.

To find the determinant of 2(adj A), we can use the following property of determinants:

det(kA) = k^n * det(A), where k is a scalar and A is an n x n matrix.

In this case, k = 2 and A = adj(A), which is a 3 x 3 matrix. Therefore, we have:

det(2(adj A)) = (2^3) * det(adj A).

Since adj(A) is a matrix obtained by taking the transpose of the cofactor matrix of A, multiplying it by 2 will simply multiply each element of the cofactor matrix by 2. Hence, the determinant of adj(A) will also be multiplied by 2^3 = 8.

Therefore, we can write:

det(2(adj A)) = (2^3) * det(adj A) = 8 * det(adj A).

We know that det(adj A) is equal to the determinant of A raised to the power of (n-1), where n is the dimension of the matrix. In this case, n = 3, so we have:

det(adj A) = det(A)^(n-1) = det(A)^2 = 5^2 = 25.

Substituting this back into our equation, we get:

det(2(adj A)) = 8 * det(adj A) = 8 * 25 = 200.

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Answer:

Boys sent more text messages than girls during the

✔ night

.

In the morning, girls sent about

✔ 5

more text messages than boys.

Both boys and girls sent the most text messages in the

✔ evening

.

During the afternoon, the students sent a total of approximately

✔ 40

text messages.

Step-by-step explanation:

Answer:

Boys sent more text messages than girls during the

✔ night

.

In the morning, girls sent about

✔ 5

more text messages than boys.

Both boys and girls sent the most text messages in the

✔ evening

.

During the afternoon, the students sent a total of approximately

✔ 40

text messages.

Step-by-step explanation:

Answer:

y=-5x-1

Step-by-step explanation:

You have to first put it in point-slope form. y-y1=m(x-x1)

The y is 4 and the x is -1.

y-4=-5(x+1)

Now you put it in slope intercept form. y=mx+b.

y-4=-5x-5

Add 4 to both sides

y=-5x-1

The direction of the net magnetic field is \($167.36^{\circ}$\)

\(q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)\)

\($q_2=6 \mathrm{nC}$\) at (0.6,0)

\($r_1=$\)Distance of \($q_1$\) from origin\($=\sqrt{0.6^2+0.8^2}$\)

\($r_2=$\) Distance of \($q_2$\) from origin \($=0.6$\)

\($\mathrm{k}=$\) Coulomb constant\($=9\)times \(10^9 \mathrm{Nm}^2 / \mathrm{C}^2$\)

Electric field is given by

\(&E_1=\frac{k q_1}{r_1^2} \\\)

\(&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\\)

\(&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}\)

\(&\theta=\tan ^{-1} \frac{0.8}{0.6} \\\)

\(&\Rightarrow \theta=53.13^{\circ} \\\)

\(&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\\)

\(&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}\)

\(&E_2=\frac{k q_2}{r_2^2} \\\)

\(&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\\)

\(&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}\)

The charge \($q_2$\) is on the \($\mathrm{x}$\) axis itself and it is pointing towards the origin (left side) so the sign will be negative

\(E_2=-150 \hat{i}\)

Resultant electric field

\(&E=E_1+E_2 \\\)

\(&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\\)

\(&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}\)

Magnitude of electric field is given by

\(&|E|=\sqrt{(-128.4)^2+28.8^2} \\\)

\(&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}\)

Magnitude of the net electric field is \($121.6 \mathrm{~N} / \mathrm{C}$\)

Direction is given by

\(\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}\)

From the -x axis

\((90+77.36)^{\circ}=167.36^{\circ}\)

The direction of the net magnetic field is \($167.36^{\circ}$\)

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The standard error of the slope coefficient is 4.38, which is option c.

The standard error of the slope coefficient can be calculated using the formula:

standard error = (standard deviation of residuals) / sqrt(sum of squared deviations from mean of explanatory variable)

Since we don't have the standard deviation of residuals or the sum of squared deviations from mean of explanatory variable, we can use the t-statistic and degrees of freedom to find the standard error from a t-table or calculator. For this problem, with a t-statistic of 4.38 and 1 degree of freedom (since there is only one explanatory variable), we can find the standard error as follows:

standard error = t-value / square root of degrees of freedom
standard error = 4.38 / sqrt(1)
standard error = 4.38

Therefore, the standard error of the slope coefficient is 4.38, which is option c.

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The standard error of the slope coefficient is 0.52. The standard error of the slope coefficient can be calculated using the formula:

Standard Error = (Standard Deviation of Residuals) / √ (Sum of Squares of x - mean of x)

However, since the standard deviation of residuals and the sum of squares of x - mean of x are not given in the question, we need to use the t-statistic and the degrees of freedom (df) to find the standard error. The t-statistic for the slope coefficient is given as 4.38, which has a p-value of less than 0.01 (assuming a two-tailed test and a significance level of 0.05). This means that the slope coefficient is significantly different from zero at the 99% confidence level.

The formula for the t-statistic is:
t = (slope coefficient - null hypothesis value) / standard error

We can rearrange this formula to solve for the standard error:
standard error = (slope coefficient - null hypothesis value) / t

Assuming the null hypothesis is that the slope coefficient is zero (i.e., no relationship between STR and test score), the null hypothesis value is 0. Using the t-statistic of 4.38, we can calculate the standard error as: standard error = (-2.28 - 0) / 4.38 = -0.52

However, we need to take the absolute value of the standard error, since it cannot be negative. Therefore, the answer is: a. 0.52

Therefore, the standard error of the slope coefficient is 0.52.

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Answer:

4r-7

Step-by-step explanation:

-14+7-9r+13r

combine like terms

4r-14+7

combine like terms

4r-7

hope this helped :)

Answer:

-7 + 4r

Step-by-step explanation:

You need to combine like terms for this problem. All the basic numbers(without the r) are added together. -14 + 7 = -7. Then the numbers with the r's are added together. -9r + 13r = 4r. This comes out to -7 + 4r

Answer:

1 2/7

Step-by-step explanation:

Hi! so this is very easy to solve. Let me guide you through it!

6/7 divided by 2/3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

6/7 X 3/2

For fraction multiplication, multiply the numerators and then multiply the denominators to get

6      x 3       18

__    ___  =  ____  

7       x2          24

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 18 and 14 using

GCF(18,14) = 2

18     ÷ 2           9

___     ___   =   ___

14      ÷ 2             7

The fraction

9/7

is the same as

9÷7

Convert to a mixed number using

long division for 9 ÷ 7 = 1R2, so

9/7=1 2/7

so there fore =

6/7÷2/3=1 2/7

(sorrry this took long i was solving it!)