10. A triangle has sides with lengths 3,5, 7. Is this an acute, obtuse, or right
triangle?

Answer:

x >= 9

x <= 32

x > -24

x > -5

x <= 10

x > -6

Step-by-step explanation:

first, write it down as inequalities:

5x >= 45

x/4 <= 8

x/-3 < 8

7x > -35

x/2 <= 5

3x > -18

then, solve the inequalities

5x >= 45

x >= 45/5

x >= 9

x/4 <= 8

x <= 8*4

x <= 32

x/-3 < 8

x > 8 * -3

x > -24

7x > -35

x > -35/7

x > -5

x/2 <= 5

x <= 5*2

x <= 10

3x > -18

x > -18/3

x > -6

Subtract the width from the length.

8.5 - 5.95 = 2.55 yards

Answer:

[tex]33[/tex] times

Step-by-step explanation:

Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles

Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles

Find [tex]\frac{d}{D}[/tex].

[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]

Therefore,

Neptune is approximately [tex]33[/tex] times farther from the sun than earth

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

Answer:

1

Step-by-step explanation:

5% of 20 = 1. hope this helps :)

Answer:

89

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Given :

Mean, μ = 4

Standard deviation, s = 0.8

Sample size, n = 30

The distribution is independent.

Z = (x - μ) / s /sqrt(n)

Probability that downtime period is between 1 and 5

P(1≤ x ≤ 5) :

[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]

[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]

[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]

P(-20.539602 ≤ Z ≤ 6.8465342)

P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)

P(Z ≤ 6.8465342) = 1 (Z probability calculator)

P(Z ≤ - 20.5396) = 0 (Z probability calculator)

1 - 0 = 1

Answer:

m=slope = 5

b=y intercept=-4

Step-by-step explanation:

Answer:

Slope=3/4, y-intercept=3.5, equation=y=3/4x+3.5

Step-by-step explanation:

Answer:

13.433333333

Step-by-step explanation:

9514 1404 393

Answer:

  >

Step-by-step explanation:

We know that 5 + 3 = 8, so 5 2/3 +3 = 8 2/3.

This problem has you adding 3 3/4, not 3, so the sum will clearly be "greater than" 8 2/3.

  5 2/3 + 3 3/4 > 8 2/3

Answer: watter bottle : $1.61

Flashlight : $3.20

Step-by-step explanation:

Answer:

The first book was published in 1816.

Step-by-step explanation:

A series of books is published at 4-year intervals.

This means that:

The first book is published at year x.

The second book is published at year x + 4.

The third book is published at year x + 4 + 4 = x + 8

The fourth book is published at year x + 8 + 4 = x + 12

The fifth book is published at year x + 12 + 4 = x + 16

When the fifth book is issued, the sum of the publication’s years will be 10,020.

This means that:

[tex]x + x + 4 + x + 8 + x + 12 + x + 16 = 10020[/tex]

[tex]5x + 40 = 10020[/tex]

When was the first books published?

This is x. So

[tex]5x + 40 = 10020[/tex]

[tex]5x = 9080[/tex]

[tex]x = \frac{9080}{5}[/tex]

[tex]x = 1816[/tex]

The first book was published in 1816.

Answer:

D. m = 5/2

Step-by-step explanation:

35 / 14 = m

35 / 14 = 2.5

2.5 as a fraction is 5/2

The equivalent value of m is given by the expression m = 5/2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:

14m/14 = 35/14

Simplifying, we get:

m = 35/14

On further simplification of the equation , we get

m = (35/7)/(14/7)

m = 5/2

Hence , the equation is m = 5/2.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

The 10% condition would not apply here

Explanation:

The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.

Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.

Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.

Answer:

.375

Step-by-step explanation:

To find the batting average, do 15/40. And 15/40=.375

Answer:

Median

Step-by-step explanation:

The line that divides the rectangular box that into two on a box plot usually represents the median of the data set.

Therefore, number 163 would be the median of the data set.

163 represents the median value of the data set.

Answer:

The number 163 represents the

median

of the data set.

Step-by-step explanation:

Answer:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.

Step-by-step explanation:

Answer:  D. 7

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.

Answer:

16.8 is the measurement of OM

Step-by-step explanation:

In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.

Answer:

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Step-by-step explanation:

Step(i):-

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]

 z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

Step(ii):-

[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]

⇒    [tex]d = sin^{-1} (\frac{4}{5} )[/tex]

⇒   d = 53.13°

Final answer:-

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

g(x)= x^2(5x+1)-4(5x+1)

g(x)=(x^2-4)(5x+1)

g(x)=(x-2)(x+2)(5x+1)

x-2=0

x= 2

x+2=0

x= -2

5x+1=0

x= -1/5

Answer:

216

Step-by-step explanation:

LCD = 30

200(3/30) = 600/30

^ do this process for each number

Answer: 216

Step-by-step explanation:

9514 1404 393

Answer:

  -12

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is defined as ...

  average rate of change = ((f(b) -f(a))/(b -a)

For the given function and interval, this is ...

  average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)

  = (4 -10)/(0.5) = -12

The average rate of change is -12 on the interval.

__

The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.

so wt's the question of this pic?

Answer:

amount of water required = 45 g

Step-by-step explanation:

Answer:

45g

Step-by-step explanation:

Answer:

Multiply input by 2

Step-by-step explanation:

The pattern is the input multiplied by 2. Just multiply the input value by 2 and you get the output value.