Round to the nearest tenth (1 decimal place)

Answer:

z=26

Step-by-step explanation:

4z-8+3z+6=180

7z-2=180

7z=182

z=26

Answer:

z=26

Step-by-step explanation:

add the 2 equation together to equal 180

4z-8+3z+6

combine like terms

7z-2=180

add 2 to both sides

7z=182

divide by 7 to isolate z

z=26

Answer:

$983.45

Step-by-step explanation:

Given data

Principal= $700

Rate= 1.2%

Time= 3 years

The compound interest expression is given as

A= P(1+r)^t

A= 700(1+0.12)^3

A= 700(1.12)^3

A= 700*1.404928

A=$983.45

Hence the balance will be $983.45

Answer:

yesss

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

The horizontal cross section of a cylinder is a circle

Answer:

Circle

Step-by-step explanation:

The horizontal cross section is a circle. If we slide the figure in half, the shape it would show is a circle.

If you have any questions, comment!!

Hope this helped!! :)

Answer:

18.11

Step-by-step explanation:

The formula for Confidence Interval is given as:

Confidence Interval = μ ± z × σ /√n

μ = the population mean/average = 15

σ = the population standard deviation = 26

z = z score of 88% confidence interval = 1.5548

= 15 ± 1.5548× 26/√169

= 15 ± 1.5548 × 26/13

= 15 ± 1.5548 × 2

= 15 ± 3.11

Hence,

Confidence Interval = 15 ± 3.11

Lower Limit

= 15 - 3.11

= 11.89

Upper limit

= 15 + 3.11

= 18.11

Therefore, the upper limit of the 88% confidence interval is 18.11

Answer:

No, a=-12

Step-by-step explanation:

To solve this, you have to use the distributive property. 2(a-3) is going to be equal to 2a-6 and 3(a+2) is going to be equal to 3a+6. This will make the equation 2a-6=3a+6. You add 6 from both sides to isolate a. This will make the equation 2a=3a+12. Subtract 3a from both sides to get -a=12. You want to isolate a so you have to divide both sides by -1. This will make the equation a=-12.

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Answer:

u(x)=−2x2+3.

Step-by-step explanation:

v(x )=1x whichever notation you prefer: (u∘v)(x)=u(v(x)).

Answer:

u(x)=−2x2+3.

Step-by-step explanation:

Answer:

The probability that the system works is 87.75%.

Step-by-step explanation:

Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:

1 - 0.65 = 0.35

0.35 x 0.35 = X

0.1225 = X

1 - 0.1225 = 0.8775

Therefore, the probability that the system works is 87.75%.

Answer: 8*2+3 = 16+3 = 19

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this question, we have that:

[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]

Comparing both equations:

[tex]x - x_0 = x + 15[/tex]

[tex]x_0 = -15[/tex]

And

[tex]y - y_0 = y - 9[/tex]

[tex]y_0 = 9[/tex]

The center is [tex](-15,9)[/tex].

For the radius:

[tex]r^2 = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

The correct answer is given by option a.

Answer:

Part a- after one year of depreciation the car would value $7475

part b: the car would be worth $-12650

Step-by-step explanation:

not sure if its correct but that's what I got

Answer:

A)15x+30=weekly income

B)8 hours

Step-by-step explanation:

15x+30= weekly income

The 15 multiplies because it says per hour

The 30 is constant because she only earns it once (per week)

15x+30=150

minus 30 from both sides

15x=120

divide by 15

x=8

its both 2

Step-by-step explanation:

base on my research

The coordinates of the point on the unit circle at angle 225° are [tex]\bold{(-\frac{\sqrt{2} }{2}, -\frac{\sqrt{2} }{2})}[/tex]

The coordinates of the points of the circle x² + y² = r² are [tex](r~cos\theta, r~sin\theta)[/tex]

"It is a circle with radius 1."

For given example,

We have been given an angle of 225°

⇒ [tex]\theta[/tex] = 225°

We need to find the coordinates of the point on the unit circle at an angle 225°.

Here, r = 1

So, the first coordinate would be,

[tex]r~cos\theta=(1)~cos(225^{\circ})\\\\\Rightarrow r~cos(225^{\circ})=cos(270^{\circ} - 45^{\circ})\\\\\Rightarrow r~cos(225^{\circ})t=cos(270^{\circ}) cos(45^{\circ})+sin(270^{\circ}) sin(45^{\circ})\\\\\Rightarrow r~cos(225^{\circ})=0+(-1)(\frac{1}{\sqrt{2} } )\\\\\Rightarrow r~cos(225^{\circ})=\bold{\frac{-1}{\sqrt{2} }}\\\\\Rightarrow r~cos(225^{\circ})=\bold{-\frac{\sqrt{2} }{2} }[/tex]

Now we find the second coordinate of the point.

[tex]r~sin\theta=(1)~sin(225^{\circ})\\\\\Rightarrow r~sin(225^{\circ})=sin(270^{\circ} - 45^{\circ})\\\\\Rightarrow r~sin(225^{\circ})=sin(270^{\circ}) cos(45^{\circ})-cos(270^{\circ}) sin(45^{\circ})\\\\\Rightarrow r~sin(225^{\circ})=(-1)(\frac{1}{\sqrt{2} } )-0\\\\\Rightarrow r~sin(225^{\circ})=\bold{\frac{-1}{\sqrt{2} }}\\\\\Rightarrow r~sin(225^{\circ})=\bold{-\frac{\sqrt{2} }{2} }[/tex]

Therefore, the coordinates of the point on the unit circle are [tex](-\frac{\sqrt{2} }{2}, -\frac{\sqrt{2} }{2})[/tex]

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Answer:

108 cm³

Step-by-step explanation:

Formula: V = w×h×l

Solution: V = whl = 4·3·9 = 108

Hence, the answer is 108 cm³

Answer:

1620

Step-by-step explanation:

The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).

Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.

The average of the numbers is 45, since [tex]\frac{10+80}{2}=45[/tex]. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.

[tex]45\times36=1620[/tex], so the sum is 1620.

Answer:

you want to muliply the length and width to find area.

Step-by-step explanation:

Answer:

that would be 39 minutes

Step-by-step explanation:

Answer:

The answer is 39 minutes

Step-by-step explanation:

You subtract 9:14 AM from 8:35 AM which equals 39 so the difference is 39 minutes.

Answer:

790

Step-by-step explanation:

Substitute the value (x = 5) into the following expression, replace the parameter (x) with the value (5) wherever the parameter (x) is present,

[tex]6x^3+8x[/tex]

[tex]6(5)^3+8(5)[/tex]

Simplify use the order of operations. The order to operations is the system of steps that one uses to solve an equation, these steps are the following,

1. Parenthesis

2. Exponents or Radicals

3. Multiplication or Division

4. Addition or subtraction

Quick note, a number to any exponent is equal to the number times itself the number of times the exponent indicates.

Use these steps to simplify the given expression,

[tex]6(5)^3+8(5)\\\\=6(125)+8(5)\\\\=750+40\\\\=790[/tex]

9514 1404 393

Answer:

  $705.78

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  P = $300, r = 0.13, n = 1, t = 7

__

  A = $300.00(1 + 0.13/1)^(1·7)

  A = $300·(1.13^7) ≈ $300·2.35260548

  A = $705.78

There will be $705.78 in the account after 7 years.

Answer:

2(1 - x)

Step-by-step explanation:

Twice the difference of 1 and a number

a number = x

The difference of 1 and a number is expressed as :

1 - x

Twice this difference, means the difference of (1-x) multiplied by 2

2 * (1 - x) = 2(1 - x)

Answer:

See Explanation

Step-by-step explanation:

Given

[tex](x,y) = (3,-6)[/tex]

Required

Which graph shows: [tex](3,-6)[/tex]

To do this, we simply check the intersection points of the lines on the graph.

This particular graph that is shown has [tex](x,y) = (3,-6)[/tex] as its solution because the point of intersection of both lines is at: [tex](3,-6)[/tex]

i.e.

[tex]x = 3[/tex]

[tex]y = -6[/tex]

Answer:

a) 4^6

b) 5^5

c)3^9

d)2^-2

Step-by-step explanation:

When raising a number to a power and then to another power, you can multiply the exponents.

When multiplying numbers with the same base to different exponents, you can add the exponents.

Answer:

193.45

Step-by-step explanation:

The discount price is $69.4428.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A garden store purchased a lawn mower and marked it up 160% from the original cost of $82.67.

So, the Marked up amount

= 160 % of 82.67

= $132. 272

and, then 10% discount

=  10% of 132.272

= 13.2272

so, the discount price = 82.67 - 13.2272 = $69.4428

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Answer:

the answer is C

Step-by-step explanation:

hope it hlp

Answer:

it's a multiple choice, really.

Step-by-step explanation:

take any prime number for Y and take a number that is a multiple of 3 for X.

Answer:

1 hour 26 minutes

Step-by-step explanation:

Answer:

[tex]Surface \ area = 2 (LB + BH + HL) = 2 ((4\times 8)+(8 \times 6) + (6 \times 4))[/tex]

                                                     [tex]= 2(32 + 48 + 24)\\=2(104) \\=208 cm^2[/tex]

[tex]Volume = L \times B \times H = 4 \times 8 \times 6 = 192cm^3[/tex]

Answer:

28 miles

Step-by-step explanation:

[tex]\frac{1}{3.5}: \frac{8}{y}[/tex]

1 × y = 3.5 × 8

y = 28

The actual distance of the map is 28 miles.

Multiplication is an arithmetic operation in mathematics. It also entails using the same kinds of phrases over and over again.

Example: 2 + 3 means that 2 has been increased by 3 or that 3 has been increased by 2 times.

A map's scale is 1 inch = 3.5 miles.

If the distance on the map is 8 inches

To find actual distance:

Use multiplication operation,

8 x 3.5

= 28 miles

Therefore, the distance is 28 miles.

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Answer:

Hypothesis Test is:

Null Hypothesis                                H₀         x  =  37

Alternative Hypothesis                     Hₐ         x  >  37

With that test hypothesis if we accept H₀  the result indicates that we can support that the average delivery time  is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37

Step-by-step explanation:

The limit average time is 37 minutes. Therefore under that value, the owner is happy. From the sample we have:

Sample size    n  =  15

we have data from delivery times then we have the mean    x  of the sample  and standard deviation of the sample   s

We assume normal distribution and as  n <  30 test should be developed with t - student distribution.

Hypothesis Test is:

Null Hypothesis                                H₀         x  =  37

Alternative Hypothesis                     Hₐ         x  >  37

With that test hypothesis if we accept H₀  the result indicates that we can support that the average delivery time  is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37