as sunee improves her algebra skills, she takes 0.8 times as long to complete each homework assignment as she took to complete the preceding assignment. if it took her 70 minutes to complete her first assignment, find how long it took her to complete the fifth assignment. find the total time she took to complete her first five homework assignments

Answer:

2,000

4,000

7,000

put points on (2, 2,000) - (4, 4,000) - and (7, 7,000)

Step-by-step explanation:

In a primitive Pythagorean triple, the sides a, b, and c are all integers, and they satisfy the equation a^2 + b^2 = c^2.

Now, let's assume that neither x nor y is divisible by 3. This means that x and y can only be 1, 2, 4, 5, 7, or 8 modulo 3. Therefore, x^2 and y^2 can only be 1 or 4 modulo 3. Now, let's consider the equation a^2 + b^2 = c^2 mod 3. If a and b are both 1 or both 2 modulo 3, then their squares will add up to 2 modulo 3, which is not a quadratic residue. Therefore, one of a and b must be 0 modulo 3, and hence, c must also be divisible by 3. We assumed that neither x nor y is divisible by 3. We then looked at the possible residues of x and y modulo 3 and saw that they can only be 1, 2, 4, 5, 7, or 8 modulo 3. We then used the fact that the sum of two quadratic residues is not a quadratic residue modulo 3, and concluded that one of a and b in the Pythagorean triple must be divisible by 3.

In conclusion, either x or y in a primitive Pythagorean triple must be divisible by 3. This is a result of the fact that the sum of two quadratic residues is not a quadratic residue modulo 3.

to know more about quadratic visit:

brainly.com/question/22364785

#SPJ11

we know that

The clock represent a complete circle

The circumference of a circle is giving by the formula

C=2pi r

where

r is the radius of the circle

In this problem

The radius of the circle is equal to the length of the minute hand

so

r=6 in

C=2pi(6)

C=12pi in

The length of the complete circle subtends a central angle 0f 360 degrees

Find out what is the central angle for 10 minutes (6:35 to 6:45)

we know that

6 hours represent 90 degrees

so

1 hour represent 15 degrees

1 hour represent 60 minutes so

divide by 6

15/6=2.5 degrees

therefore

using proportion

12pi/360=x/2.5

solve for x

x=12pi(2.5)/360

use 3.14 as pi

x=12(3.14)(2.5)/360

x=0.26 inches

The answer is 0.26 inches

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

yoooooooooooooooooooooooooooooooooooooooo

wait its not loading

Step-by-step explanation:

Answer:

240, i think

Step-by-step explanation:

The function F(x) can be defined as follows: F(x) = 2x - 4 if x < 4 and F(x) = 4 if x >= 4.

The function F(x) is defined piecewise, meaning it has different definitions for different intervals of x. In this case, we have two cases to consider:

When x < 4: In this interval, the function F(x) is defined as 2x - 4. This means that for any value of x that is less than 4, the function F(x) will be equal to 2 times x minus 4.

When x >= 4: In this interval, the function F(x) is defined as 4. This means that for any value of x that is greater than or equal to 4, the function F(x) will be equal to 4.

By defining the function F(x) in this piecewise manner, we can handle different behaviors of the function for different ranges of x. For x values less than 4, the function follows a linear relationship with the equation 2x - 4. For x values greater than or equal to 4, the function is a constant value of 4.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ11

Answer:

-ab^2

Step-by-step explanation:

7b^2a - 5b^2a - 3ab^2

= 2b^2a - 3ab^2

= (2 × b^2 × a) - (3 × a × b^2)

= -ab^2

b^2a and ab^2 is the same thing. hope it helps!

Answer:

im not 100 percent sure but i think its 88

Step-by-step explanation:

if not i am sorry.

Answer:

88

Step-by-step explanation:

Write 110% as 110/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

110/100  of 80 =  110 /100 x 80

Therefore, the answer is 88

If you are using a calculator, simply enter 110÷100×80 which will give you 88 as the answer.

Answer:

46872

4687200

46872000

468720000

Step-by-step explanation:

say x is "?"

x ÷ 10000 = 4.6872

multiply 10000 into 4.6872 = 46872

x ÷ 10000 = 468.72

Multiply 10000 into 468.72 = 4687200

For each "0" you would move a decimal to your right when multiplying and move it to your left when dividing

Answer:

16

Step-by-step explanation:

93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books

Answer:

She will need 16 boxes with space for 3 more books

Step-by-step explanation:

Answer:

Total amount needed is: $59.25

Step-by-step explanation:

Given

See attachment for fence

Required

Cost of weedkiller needed

First, we need to calculate the height of the fence.

Considering the triangular end of the fence, we have:

\(17 ^ 2 = h ^ 2 + 8 ^ 2\) --- Pythagoras theorem

\(289 = h^2 + 64\)

Collect like terms

\(h ^ 2 = 289 - 64\)

\(h ^ 2 = 225\)

Take positive square root of both sides

\(h = \sqrt{225\)

\(h = 15\)

Next, calculate the area of the fence (trapezium).

This is calculated as:

\(Area = \frac{1}{2}(a + b) * h\)

Where:

\(a = 12\)

\(b = 20 + 8 = 28\)

So, we have:

\(Area = \frac{1}{2}(12 + 28) * 15\)

\(Area = \frac{1}{2}(40) * 15\)

\(Area = 20 * 15\)

\(Area = 300m^2\)

From the question, we have:

\(\$19.75 = 100m^2\)

Let x = the cost required for the complete area

i.e.

\(x = 300m^2\)

So, we have:

\(\$19.75 = 100m^2\)

\(x = 300m^2\)

Cross multiply

\(x * 100m^2 = \$19.75 * 300m^2\)

Divide both sides by \(100m^2\)

\(\frac{x * 100m^2}{100m^2} = \frac{\$19.75 * 300m^2}{100m^2}\)

\(x = \frac{\$19.75 * 300m^2}{100m^2}\)

\(x = \$19.75 * 3\)

\(x = \$59.25\)

Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount which will credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

As we can see, the Manny is spending amount of $368 and the other expenses are not flexible means to all other expenses are fixed expenses.

According to the data, Manny should spend less on food and clothes and put the money towards his credit card payment.

We know the expression for the monthly payment is given by:

\(\rm M = P \frac{r}{(1-(1+r)^{-nt})}\)

Where P is the principal amount

r is the interest rate.

M is the monthly payment

t is the time

n is the number of times the amount compounded.

Thus, Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.

Learn more about the debt here:

https://brainly.com/question/17286021

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Answer:

6/5

Step-by-step explanation:

Rise

_____

Run

The slope of parallel line is -6/5

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

given:

Equation: 18x + 15y = 90.

Now, writing the given equation in slope intercept form

15y= 90- 18x

y= 90/15 - 18/15 x

y= 6 - 6/5x

So, the slope of given line is -6/5

Now, the slope of parallel and given is same.

Thus, the slope of parallel line is -6/5

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

To learn more about standard normal distribution refer to:

https://brainly.com/question/13781953

#SPJ1

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

The equation of parabola which opens up, has focus (2,12) and a focal diameter of 24 is,

⇒ (x - 2)² = 24 (y - 6)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

Focus of parabola = (2, 12)

Focal diameter = 24

We know that;

Focal Diameter also known as latus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.

Hence, We get;

⇒ Focal diameter = 24

⇒ 4p = 24

⇒ p = 6

Now, To find the equation of parabola we need the vertex (h, v).

And, Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of latus rectum.

Hence, we get;

⇒ (h, v) = (h, k - p)

            = (2, 12 - 6)

            = (2, 6)

And, Equation of parabola is,

⇒ (x - h)² = 4a (y - v)

Substitute all the values, we get;

⇒ (x - 2)² = 24 (y - 6)

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

how are we suposed to do this

Answer:

0

Step-by-step explanation:

→ First find inverse cosine 1/2

60°

→ Now multiply this answer by 3 because then if you substitute it in you get 0.5

∝ = 180°

→ Now find sine of 180°

0

The solution of the initial value problem in explicit form is:

-1/2 cos(2x) + 1/9 sin(9y) = -1/2 cos(4/7) + 1/9 sin(45).

To solve the given initial value problem, we can integrate both sides of the equation:

∫sin(2x) dx + ∫cos(9y) dy = 0.

Integrating each term separately:

-1/2 cos(2x) + ∫cos(9y) dy = C,

where C is the constant of integration.

Now, we need to evaluate the integral of cos(9y) with respect to y:

-1/2 cos(2x) + 1/9 sin(9y) = C.

To find the value of the constant C, we can substitute the initial condition y(2/7) = 5 into the equation:

-1/2 cos(2(2/7)) + 1/9 sin(9(5)) = C.

Simplifying:

-1/2 cos(4/7) + 1/9 sin(45) = C.

To learn more about equation visit;

https://brainly.com/question/10413253

#SPJ11

The distance between the height of the platform and the depth below water is 47ft . The concept of depth describes how far something extends.

A deep area in a body of water is what the word "DEPTH" means.

Ocean depth is most frequently and quickly measured using sound. Sonar, which stands for sound navigation and range, is a technique that allows ships to map the topography of the ocean below. The instrument uses sound waves to send to the ocean's bottom and time how long it takes for an echo to come back.

Water depth is the distance in feet between the ocean's surface and bottom, as determined by mean lower low water.

Use the following formula for measuring ocean depth.

D = V Times 1/2 T D

Depth (in meters) T= Time (in seconds) V = 1507 m/s (speed of sound in water)

In the question we have,

Platform to surface of water = 33ft

Platform to depth below water = 33+14 = 47ft

To learn more about depth refer :

https://brainly.com/question/14669048

#SPJ1

Answer:

4 avocados

Step-by-step explanation:

$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4

Step-by-step explanation:

x2-x-12<0

x2-x<12

x=12

Given data

*BE = 4x - 12

*DE = 2x + 8

At the point of intersection AC and BD, "x" is exactly split into halves.

Therefore

Substitute the values in the above expression as

Thus, the value of x equals to 10

a) 58^-8 is the same as 1/58^8. we can also simplify the expression by applying the rule for negative exponents to the entire fraction.

To evaluate this expression, we can use the rule that any number raised to a negative exponent is equal to the reciprocal of the same number raised to the same positive exponent. In other words, x^-n = 1/x^n.

Applying this rule to the expression 1/58^8, we get:

1/58^8 = 1/(58^8) = 58^-8

Therefore, the correct answer is 58^-8.

It is important to note that the exponentiation operator (^) has higher precedence than the division operator (/), so we need to use parentheses to indicate that the exponent should be applied to the entire denominator before the division is performed. In this case, we can also simplify the expression by applying the rule for negative exponents to the entire fraction:

1/58^8 = (1/58)^8 = 58^-8

This simplification shows that the correct answer is still 58^-8.

To learn more about evaluating expression refer :

https://brainly.com/question/28337857

#SPJ1

Answer:

y = x + 7

Step-by-step explanation:

This is the required final answer  Emily spends $300y/x  and Andy spends $432y/x for wire.

The answer provided below has been developed in a clear step-by-step manner.

1 foot =12 inches

1 yard=36 inches

Emily needs (25×12)=300 inches wire

and Andy needs (12×36)=432inches wire

As the cost for x inches wire is $y

cost for a 1-inch wire is $x/y

So, the cost for 300 inches of wire is $300y/x

cost for 432 inches of wire is $432y/x

so, Emily spends $300y/x

and Andy spends $432y/x for wire.

More than 20 different currencies go by the name dollar. The Australian dollar, Brunei dollar, Canadian dollar, Hong Kong dollar, Hogan dollar, Jamaican dollar, Liberian dollar, Namibian dollar, New Taiwan dollar, New Zealand dollar, Singapore dollar, United States dollar, Trinidad and Tobago dollar, and a number of others are among them. Like many nations that use the peso as their currency, the majority of those currencies are denoted by the dollar sign $.

The word "dollar" is a translation of the German word "thaler," which means "person or thing from the valley" in English. America's monetary unit is called after the "thaler," the name given to the first silver mine-produced coins, which were initially coined in Joachimsthal, Bohemia, in 1519.

To learn more about dollars visit here:

brainly.com/question/28547396

#SPJ4

Answer:

A

Step-by-step explanation: