What is 6(5) - (3 (3) + 7

Have to evaluate 6x - (3y + 7)

Answer:

11

Step-by-step explanation:

2+7+2 add left to right

9+2

11

The increase in price (8.20%) is less than the interest she would have paid (12 payments of $7125), it seems that postponing her purchase and saving money was a good trade-off for Dorothy.

The APR (Annual Percentage Rate) for Dave's loan can be calculated

using the formula:

APR = ((Total interest + Service charge) / Principal) * 100

In this case, the total interest is $44.90 and the service charge is $6.40.

The principal is $600. Plugging these values into the formula:

APR = (($44.90 + $6.40) / $600) * 100

Simplifying the equation:

APR = ($51.30 / $600) * 100

APR = 8.55%

For Dorothy, if she bought the dishwasher on credit, the total cost would

be $855.00 after making 12 monthly payments of $7125.

However, if she saved $70.00 a month for one year, she would have

$898.80 in deposits plus interest.

When she goes back to the store, the dishwasher now costs $908.88,

which is an increase of 8.20%.

Since the increase in price (8.20%) is less than the interest she would

have paid (12 payments of $7125), it seems that postponing her purchase

and saving money was a good trade-off for Dorothy.

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Answer:

Step-by-step explanation:

13. 2/3

14. 0

15. 5/2

Polynomial identities can be used to rewrite the expressions efficiently as x² + 2x + 1 can be written as (x + 1)².

A mathematical fact or equation called polynomial identity allows us to easily answer equations with big integers and exponents.

Polynomial identities can be used to rewrite the expressions in a simplified manner.

For example, the polynomial x² + 2x + 1 can be written as (x + 1)².

Hence, polynomial identities can be used to rewrite the expressions efficiently as x² + 2x + 1 can be written as (x + 1)².

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Answer:

A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than \begin{align*}360^\circ\end{align*} that carries the shape onto itself.

Step-by-step explanation:

Answer:

the answer is, area of the square - a half of area of the circle

C=circle and S =square

radius of C is 10

so Area Of C is =

\(\pi r^{2} = \pi{10}^{2} = 100\pi\)

area of S = 10×10 = 100

so the answer is

\(s - \frac{c}{2} = 100 - \frac{100\pi}{2} = 100 - 50\pi\)

Answer:

b, 13√2 and 13

Step-by-step explanation:

13 is equal to y so it is 13

And for x u can get by using sin or cos cause u get the same answer

sin(45) = 13/ x

x = 13/ sin(45)

x= 26/√2 ....... when you rationalize the denominator

x= (26√2) / 2

x = 13√2

Answer:

Hello there!^^

Step-by-step explanation:

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

~~~~~~~~~~~~~~~~~~~~~~~~~~~

→ 1. 2x-1=15

→ 2. 2x=15+1

→ 3. 2x=16

→ 4. x = 16/2

→ 5. x = 8

Answer: x = 8

Hence, x would equal to 8 (eight)

Your fellow brainly user: xCherryxUwU

#Thanks!

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Answer:

9

Step-by-step explanation:

They all can be divided by nine.

18/9 = 2

9/9 = 1

45/9 = 5

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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Answer:

6

Step-by-step explanation:

Let the number of seats in one row be \(x\), then the number of rows will be \(5x\).

So the total number of seats will be \(x*5x=5x^2\), and that's equal to 180.

We have

\(5x^2=180\\x^2=36\)

And since \(x\) has to be a positive number because it represents the number of seats, we know that \(x=6\).

So the number of seats in one row is 6.

Answer:

18 + 0.08B ≥ 75

Step-by-step explanation:

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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T probability of rolling doubles after 45 tosses is 0.156

To do this, we enter the data values in a graphing calculator.

From graphing calculator, we have the following summary:

The regression equation is

y = bx + a

Where

b = SP/SSX = 1375/8250 = 0.16667

a = MY - bMX = 8.7 - (0.17*55) = -0.46667

So, we have:

y = 0.16667x - 0.46667

Approximate

y = 0.167x - 0.467

When the number of tosses is 45, we have:

y = 0.167 * 45 - 0.467

Evaluate

y = 7.048

Approximate

y = 7

45 tosses gives 7 doubles.

So, the probability is:

P = 7/45

Evaluate

P = 0.156

Hence, the probability of rolling doubles after 45 tosses is 0.156

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Answer:

7200

Step-by-step explanation:

The value of the expression 95.04 ÷ 0.0132 is 7200.

We have,

To divide 95.04 by 0.0132, perform the division:

This can be written as,

95.04

= 9504/100 ______(1)

And,

0.0132

= 132/10000 _______(2)

From (1) and (2),

95.04 ÷ 0.0132

= 9504/100 ÷ 132/10000

= (9504 x 10000) / (100 x 132)

Simplifying.

= 950400/132

= 7200

Thus,

The value of the expression 95.04 ÷ 0.0132 is 7200.

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The total cost to licence and purchase 500 songs is; $1850

The time it takes to do so is; 200 minutes

From the task content:

Total cost = $3.70

For 500 songs = 500 × $3.70 = $1850

The total time it takes to find the licencing information and to purchase the song is;

Total time = 4minutes

For 500 songs = 500 × 4 = 200minutes

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Answer:

There are no common divisors

Step-by-step explanation:

Answer:

the greatest common divisor between 21 and 10 is 1

Step-by-step explanation:

factors:

10: 1, 2, 5, 10

21: 1, 3, 7, 21

hopefully this helps :)

The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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It will take approximately 27 years to accumulate $100,000 in the savings account.

To calculate the time required, we can use the future value of an ordinary annuity formula. In this case, the annuity is the annual savings of $1,300, the interest rate is 5%, and the desired future value is $100,000. By plugging these values into the formula, we can solve for the number of periods (years) it will take to reach the target amount.

The formula is:

FV = P * ((1 + r)^n - 1) / r

Where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods. Rearranging the formula to solve for n, we have:

n = log((FV * r / P) + 1) / log(1 + r)

Substituting the given values, we get:

n = log((100000 * 0.05 / 1300) + 1) / log(1 + 0.05)

Evaluating this expression, we find that n is approximately equal to 27. Therefore, it will take approximately 27 years to accumulate $100,000 in the savings account by saving $1,300 annually at an interest rate of 5%.

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To find the orthogonal projection of a vector onto a subspace, we can use the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ,

where A is a matrix whose columns span the subspace, and u is the vector we want to project.

In this case, the subspace W is spanned by the vector v = [0, 0, 0, 1].

Let's calculate the orthogonal projection of u onto W using the formula:

A = [v]

The transpose of A is:

Aᵀ = [vᵀ].

Now, let's substitute the values into the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ

= v⁻¹[vᵀ]u

= [v][(vᵀv)⁻¹vᵀ]u

Substituting the values of v and u:

v = [0, 0, 0, 1]

u = [1, 0, 0, 0]

vᵀv = [0, 0, 0, 1][0, 0, 0, 1] = 1

[(vᵀv)⁻¹vᵀ]u = (1⁻¹)[0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 0]

Therefore, the orthogonal projection of u onto the subspace W is [0, 0, 0, 0].

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The corresponding null hypothesis, phrased in terms of the probability of getting Heads (\( \operatorname{Pr}(\text{Heads}) \)), would be that the coin is fair, meaning that the probability of getting Heads is 0.5.

The null hypothesis states that there is no significant difference between the observed data and what is expected under the assumption of a fair coin. It assumes that the probability of getting Heads is equal to 0.5, which is the expected probability for a fair coin. By setting up this null hypothesis, we are essentially testing whether there is evidence to reject the idea that the coin is fair.

In hypothesis testing, the null hypothesis represents the default assumption or the absence of an effect. It serves as a benchmark against which we compare the observed data to determine if there is sufficient evidence to reject the null hypothesis in favor of an alternative hypothesis. In this case, the null hypothesis assumes that the coin is fair, and any deviations from a 0.5 probability of getting Heads would be considered evidence against the null hypothesis.

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First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:

2x−3y+8=0

⇒−3y=−2x−8

⇒3y=2x+8

⇒y=  

3

2

​

x+  

3

8

​

Therefore, the slope of the line is m=  

3

2

​

.

Now since the equation of the line with slope m passing through a point (x  

1

​

,y  

1

​

) is

y−y  

1

​

=m(x−x  

1

​

)

Here the point is (2,3) and slope is m=  

3

2

​

, therefore, the equation of the line is:

y−3=  

3

2

​

(x−2)

⇒3(y−3)=2(x−2)

⇒3y−9=2x−4

⇒2x−3y=−9+4

⇒2x−3y=−5

Hence, the equation of the line is 2x−3y=−5.

Answer:

y=2/3x-11/3

Step-by-step explanation:

Hi there!

We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)

Parallel lines have the same slopes

So we need to first find the slope of 2x-3y=9

We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do this, we need to isolate y on one side

2x-3y=9

subtract 2x from both sides

-3y=-2x+9

divide both sides by -3

y=2/3x-3

as 2/3 is in the place where m is, 2/3 is the slope of the line

It's also the slope of the line parallel to it that passes through (4,-1).

Here's the equation of that line so far:

y=2/3x+b

now we need to find b

as the line will pass through the point (4,-1), we can  4 as x and -1 as y in order to solve for b

-1=2/3(4)+b

multiply

-1=8/3+b

subtract 8/3 to both sides

-11/3=b

Substitute -11/3 as b into the equation

y=2/3x-11/3

There's the equation

Hope this helps!

Answer:

88 \(in^2\)

Step-by-step explanation:

2(2 x 6 + 4 x 6 + 4 x 2)

\(2\)\((wl+hl+hw)\)

As per the given origin, the potential at x = 3.0m is 143.0V

The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.

Here we have given that the potential at the origin is -140 V.

And we need to find the potential at x = 3.0m.

While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .

Then the electric potential at x=3.0m is calculated as,

=> V(3) - 140 = 3.0

=> V(3) = 143.0

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The height is changing at a rate of 15 inches every minute.

We can use the derivative of the volume formula to derive an equation that links the rates of change of the cone's volume, radius, and height:

Cone volume formula: V = (1/3)r2h

Using derivative on both sides with regard to time, we arrive at:

dV/dt equals (1/3) * 2r * dr/dt * h plus (1/3) r2 * dh/dt.

where

We can enter the values supplied here as substitutes in this equation:

dV/dt = 43 in3 minutes.

Dr/Dt = 3 In/Minute

r = 1 in

V = 13 in³

For dh/dt, we can solve for:

43 = (1/3)π * 2(1) * 3 * h + (1/3)π(1)² * dh/dt

43 = 2πh + (1/3)π * dh/dt

129 = 6πh + π * dh/dt

dh/dt = (129 - 6πh) / π

We may now change h = (3V) / (r2) to obtain:

dh/dt is equal to (129 - 6 (3V)/(r2)) /

(129 - 18V/r2) / dh/dt

By substituting the V and r values that are supplied, we obtain:

dh/dt = (129 - 18(13)/(1²)) / π

dh/dt = about 15 in/min

As a result, the height is changing at a rate of 15 inches every minute.

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If nominal wages and prices are not flexible, then the short-run aggregate supply curve is vertical.

This means that the economy is operating at full employment, and any increase in aggregate demand will not result in an increase in output but rather lead to higher prices.

In other words, the economy is supply-constrained, and there is no excess capacity to produce more output in response to an increase in demand.

In a severe recessionary gap, the economy is operating below its potential output, and there is excess capacity in the economy. However, if nominal wages and prices are not flexible, firms cannot adjust their prices downwards,

and wages cannot be reduced, leading to a situation where the short-run aggregate supply curve is vertical.

This results in a situation where any increase in aggregate demand will not lead to an increase in output, and the economy remains stuck in a recessionary gap with high unemployment and low output.

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Answer:

1(a)1,030,000+0.13x

(b)$1,030,026

2. (a)Base and Index

(b)See Explanation

Ste-by-Step Explanation

(a)Total Amount to be paid to the four actors

=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)

Collect like terms

=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x

\(\text{Total Amount Paid= }1,030,000+0.13x\)

(b)When x=200

\(\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026\)

Question 2

(a)The two parts of a power are the base and index.

Take, for example, the expression: \(a^b\\\)

\(a$ is the base\\b is the index\)

Another example using numbers is: \(10^3\)

In this case:

\(10$ is the base\\3 is the index\)

(b)Like terms are terms that have the same letter/variable attached to them.

For example, the following pairs are like terms

These, however, are not like terms

9514 1404 393

Answer:

  A  √40

Step-by-step explanation:

The given radical expression can be written as ...

  \(\displaystyle 2\sqrt{n+4}=\sqrt{2^2}\cdot\sqrt{n+4}=\sqrt{4(n+4)}=\sqrt{4n+16}\)

The last two versions of this expression tell you two things:

Only one answer choice meets these requirements:

  √40

Answer:

Distributive Property

Step-by-step explanation:

This is my best guess because you didn't put the topic or give an more information.

Answer:

B.2.5

Step-by-step explanation:

The equation would be

\(-4x +8 = 2x -7\)

I believe that you would know how to solve this.

You could also sub in 2.5 for the x to check.

Good Luck!!!!!