the sum of 3 numbers is 26. the second number is twice the first and the third number is 6 more than the second. find the number

Answer:

{–2, 1, 2, 5}

Step-by-step explanation:

i got it right on the test lol

The gravitational potential energy of a 3 kg toy car resting at the top of a 0.45-meter ramp is calculated using the formula PE = mgh, giving us a result of 13.2385 Joules.

The calculation of gravitational potential energy for a 3 kg toy car at the top of a 0.45-meter ramp. Gravitational potential energy (PE) is calculated using the formula PE = mgh, where m stands for mass, g is the acceleration due to gravity (usually 9.81 m/s² on Earth's surface), and h is the height above the reference point. In this case, PE = 3 kg × 9.81 m/s² × 0.45 m, which gives us a gravitational potential energy of 13.2385 Joules. As the car is at rest on the top of the ramp and has not yet moved, its potential energy is at its maximum at that point.

Answer:

It will be 18% decrease, Because they said they lowered the price.

Step-by-step explanation:

The percentage decrease in buying shoes on the internet with respect to shop is 18%.

The percentage is defined as a given amount in every hundred. It is a fraction of 100.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Price in shop = $52.00

Prince in online = $42.64

The percentage decrease with respect to price in the shop ⇒

(Price in shop - Prince in online)/(Price in the shop) × 100

⇒ (52 - 42.64)/52 × 100

⇒ (9.36/52)  × 100

⇒  18%

Hence "The percentage decrease in buying shoes on the internet with respect to shop is 18%".

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Since the degree of the equation is 5, then the number of zeros is also equal to 5. We can find for the 1st value of the root by trial and error. To do this, we find for the value of x which makes the equation equal to zero, that is:

x^5 + 7x^4 + 2x^3 + 14x^2 + x + 7 = 0          (find x)

By trial and error I made (which I will not show anymore), the possible root is -7. This is equivalent to x + 7.

To find more roots, we divide x^5 + 7x^4 + 2x^3 + 14x^2 + x + 7 by x + 7. The answer of the division results in x^4 + 2x^2 + 1 which is a perfect square trinomial in the form of:

(x^2 + 1)^2

Therefore the other 4 roots are:

x^2 + 1 = 0      ---> i, -i           

and

x^2 + 1 = 0      ---> i, -i

Therefore the answer is:

1 real and 4 imaginary zeros

To find the critical z value for α = 0.08, we first divide α by 2 to get 0.04. This value corresponds to the tail regions in a two-tailed test. We then lookup or calculate the z value associated with a cumulative probability of 0.04, which gives us a z value of approximately 1.75.

The question is about finding the indicated critical z value. In statistics, critical values are used to make decisions about the null hypothesis in hypothesis testing. When α = 0.08, α/2 = 0.04 which refers to the tail regions in a two-tailed test.

First, we find the z value associated with α/2=0.04. This is found by looking at a standard z-table, or using a statistical calculator or a software tool that can calculate the inverse of the standard normal cumulative distribution function. For α/2=0.04, the z value is approximately 1.75.

Therefore, the critical z value (zα/2) is approximately 1.75.

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x = land carriers = 1800x

y = air carries = 1500y

 as many as means up to that amount so <=150000 and <= 150

so equation is:

1800x + 1500y ≤ 150,000 x + y ≤ 150

The correct system of inequalities for this problem is: 1500x + 1800y ≤ 150,000 and x + y ≤ 150 - representing mail distribution limitations of a center.

In order for the mail distribution center to process the maximum amount of mail (150,000 pieces) with the available resources, the inequalities should be framed as follows:

This mathematical model sets the limitations of the mail distribution process and can be used to predict the optimal allocation of mail to air and land carriers.

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Answer:

The answer is $3.75

Step-by-step explanation:

P = $500

r = 3%   = 0.03

n = 4

t =[tex]3/12=1/4[/tex]

Now compound interest formula is :

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting the values in formula we get,

[tex]A=500(1+\frac{0.03}{4})^{4*1/4}[/tex]

[tex]A=500(1.0075})^{1}[/tex]

= $503.75

Now, withdrawal fee = amount paid - principle

=> [tex]503.75-500=3.75[/tex] dollars.

So, the answer is $3.75.

The product of 18 and q is expressed as 18q in an algebraic expression, representing the multiplication of 18 by a variable, q. The value of the expression depends on what value q has.

The phrase 'the product of 18 and q' is a mathematical term used in algebra. It represents the multiplication of 18 and a variable 'q'. In algebraic expression, it can be written as 18q, where 18 is the constant multiplicand, and 'q' is the variable multiplier. The value of this product depends on the value of 'q'. For example, if q is 2, the product of 18 and q would be 36.

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Answer:  The correct option is (B) 1.28 radians.

Step-by-step explanation:  We are given that for an angle A :

[tex]\cos A=0.29.[/tex]

We are to find the measure of angle A in radians.

We know that the relation between degree and radians is given by

[tex]80^\circ=\pi~\textup{radians}\\\\\\\Rightarrow 180^\circ=\dfrac{22}{7}~\textup{radians}.[/tex]

Now, we have

[tex]\cos A=0.29\\\\\Rightarrow A=\cos^{-1}(0.29)\\\\\\\Rightarrow A=73.14^\circ.[/tex]

Again,

[tex]180^\circ=\dfrac{22}{7}\\\\\Rightarrow 1^\circ=\dfrac{22}{7\times180}\\\\\Rightarrow 73.14^\circ=\dfrac{22}{1260}\times73.14=1.277=1.28~\textup{radians}.[/tex]

Thus, the measure of angle A in radians is 1.28 radians.

Option (B) is CORRECT.

60 mph = 1 mile per minute ( 60 minutes per hour)

 so it would take 25 minutes to drive 25 miles

Answer:

25 min

Step-by-step explanation:

25/60=5/12=25 min

The properties of exponents and logarithms allow for simplifying and solving exponential equations by manipulating exponents, such as multiplying and dividing quantities, raising a power to another power, and using the inverse relationship between exponents and logarithms.

The properties of exponents are essential for solving exponential equations because they allow for the manipulation of the equations into forms that are easier to solve. The exponential and natural logarithm are inverse functions, meaning ln (e^x) = x and e^(ln x) = x. By using this relationship, any base number b can be expressed as e^(ln b), making complex calculations more manageable.

When multiplying exponential quantities, we can apply the rule where the exponents are added together, such as in (a^m) × (a^n) = a^(m + n). If we raise an exponent to another power, we multiply the exponents, which is depicted in the example of (5^3)^4 = 5^(3×4) = 5^12. Similarly, dividing exponential quantities involves subtracting exponents, and an exponential raised to a negative exponent signifies an inversion.

The logarithmic properties also come into play when working with exponents. The logarithm of a product is the sum of the logarithms: log(xy) = log(x) + log(y). This is useful when solving exponential equations since logarithms can help linearize them, making it easier to isolate the variable and find the solution.

The area of the kite will be equal to 14 sq. units

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the Kite in a two-dimensional plane is called the area of the kite.

The area of the kite can be found as follows;

Area    =   [area of XWY]   +     [areaYWZ]

Area XWY  =  1/2  x b  x  h

Area  XWY =   1/2  x  4  x   3   =   6 sq units

Area YWZ   =  1/2   x   b  x  h

Area YWZ   =  1/2   x   4  x  4  =  8 sq units

Hence the area of the kite will be:

Area  =   6  +  8   =   14 sq. units

Therefore the area of the kite will be equal to 14 sq. units

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Answer:-  A.The independent variable is the input variable and should be represented by the x-axis.

Explanation:-

A. Correct.

B. Not correct.

Reason:- The independent variable is the input variable and should be represented by the x-axis.

C. Not correct.

Reason:- The dependent variable is the output variable and should be represented by y-axis.

D. Not correct.

Reason:-The dependent variable is the output variable and should be represented by y-axis.

Answer:

A.The independent variable is the input variable and should be represented by the x-axis.

Step-by-step explanation:

It was right on the test.

Answer:

i have the image of the tunnel and here is my work

Part B: x=20 y=20  x=35 y=60  so {60-20}/{35-20}=40/15=2.6

hope this helps

D/60 + D/50 = 2D/55 - 1/2

 find common denominator ( 3300)

3300/60 = 55

3300/50 = 66

3300/55=60

so then you get 55D +66D= 60(2D)-1650

121D=120D-1650

D=1650 miles

check

1650/60 =27.5, 1650/50 = 33,  27.5 + 33 = 60.5 hours total

1650/55 = 30, 30 x 2 = 60

60.5-60 = 0.5 longer

 so distance = 1650 miles

Answer:

2 pie in

source: Trust me bro