3) y = 3x^2 – 17x + 10

4) y = x^2 + 2x - 9​

Answer:

2

Step-by-step explanation:

Write out all the factors for 14

Then write out the multiples of 7

Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples

Answer:

$95.00 = $3.99s + $15.20

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

B. Trapezoid

Step-by-step explanation:

1. Pretending Segmant C is a line

2. Pretending Segmant D is a line.

3. Line C and Line D will eventually intersect; see attachment.

Matt takes 157 seconds to run 1 lap.

Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to run 8 laps = 1,256 seconds

To find time taken to run 1 lap, use the ratio property,

8 laps = 1256 seconds

1 lap = 1256/8 seconds

1 lap =  157 seconds

Matt takes 157 seconds to run 1 lap.

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The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

Step-by-step explanation:

multiply each variable's exponent by 2

(5x^2y^3)^2=5^2x^(2*2)y^(3*2)

simplify

5^2x^(2*2)y^(3*2)=25x^4y^6

The value of the expression (5x²y³)² will be 25x⁴y⁶.

What is mean by Monomial?

The monomial is a product of powers of variable with non negative integer exponent.

Given that;

The mathematical expression is,

⇒ 5x²y³ to the power of 2.

Now,

Solve the expression to raise the monomial to a power as;

The mathematical expression is,

⇒ 5x²y³ to the power of 2.

It can be written as;

5x²y³ to the power of 2 =  (5x²y³)²

By the rule of exponent we get;

⇒ (5x²y³)² = 5² × (x²)² × (y³)²

               = 5 × 5 × x² × x² × y³ × y³

               = 25 × x⁴ × y⁶

              = 25x⁴y⁶

Thus,  The value of the expression (5x²y³)² = 25x⁴y⁶

Therefore, The value of the expression (5x²y³)² will be 25x⁴y⁶.

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Answer:

Step-by-step explanation:

Answer:

Categorical Propositions: Statements about categories. Enthymeme: a syllogism with an incomplete argument.

Categorical Propositions: Statements about categories. Enthymeme: a syllogism with an incomplete argument....

Categorical Propositions: Statements about categories. Enthymeme: a syllogism with an incomplete argument....Syllogisms

A parallelogram can only be a rectangle if the following conditions are satisfied: B) The diagonals must be congruent, and A) the diagonals must be congruent and perpendicular.

Therefore,

One feature of a parallelogram is that its diagonals are divided in half. A rectangle also has congruent diagonals.

In addition to being congruent, the diagonals in a square are perpendicular to one another.

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The equation that represents the cost of the van rental is $598.74 = 136.20 + $0.39m .

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. LHS = RHS is a common mathematical formula.

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.

The general form of linear equations is:

y = a + bx

Where:

a = intercept

b = slope

The form of the equation that models the cost is:

Total cost = cost of renting the van + [cost per mile x (m - 120 miles)

$598.74 = $183 + [$0.39 x (m - 120)

$598.74 = $183 + $0.39m - 46.80

$598.74 = 136.20 + $0.39m

Thus, they travelled 1186 miles.

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The contents of r0 will be 0x20000851, which is the first byte of the word stored at address 0x20000850.

The TI TM4C123 is a little-endian processor, meaning that it stores data in the memory in reverse order. This means that the first byte of a word will be stored at the lower address, and the last byte at the higher address.

In this example, register r1 contains the address 0x20000850. When we execute the ldr r0, [r1] instruction, the processor will read the value stored in memory at address 0x20000850 and store it in register r0.

Since this is a little-endian processor, the value stored in memory at address 0x20000850 will be the last byte of the word, and the value stored in memory at address 0x20000851 will be the first byte of the word.

This means that the contents of r0 will be 0x20000851, which is the first byte of the word stored at address 0x20000850.

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Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

Answer:

5(x+3)

Step-by-step explanation:

The greatest common factor from both numbers is 5, so you divide them both by 5 and put the 5 outside of the parenthesis and then put x+3 inside the parenthesis because 5x divided by 5 is x and 15 divided by 5 is 3.

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

6, 7, 7, 7, 8, 8, 9, 10, 10

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

6, 7, 7, 7

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

8, 9, 10, 10

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

Answer:

Step-by-step explanation:Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribution with a mean of 14 g/dL and a standard deviation of 1.

From the given data, we can conclude that about (32) people have hemoglobin levels less than 13, and about (100) people have hemoglobin levels greater than 14.

Answer:

Step-by-step explanation:

Let X be the hemoglobin level

x is normal with (16,2)

people having hemoglobin levels >18g/dl

P(X>18) = P(Z<(8-14)/2) =

"Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribution with a mean of 14 g/dL and a standard deviation of 1.

From the given data, we can conclude that about (32) people have hemoglobin levels less than 13, and about (100) people have hemoglobin levels greater than 14."

"Given that Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribution with a mean of 14 g/dL and a standard deviation of 1.

Let X be the hemoglobin level

X is normal with (14, 1)

People having hemoglobin levels <13

would be

P(X<13) = P(Z<(13-14)/1) =0.16

Hence for 200 people no of people having less than 16 = 0.16(200) =32

P(X>14) = 0.5

Hence no of people =100"

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Answer:

it would be A=12bh Substitute 14 for b and 10 for h in the formula and then the area of a tringle would be 70 square meters

Step-by-step explanation:

u welcome hope i help trying to a brainiest so if u mark me brainiest it will make my day

Answer:

it would be a 4% sales tax

Step-by-step explanation:

6.24

-6.00

.24/6 (amount of dollars divided by the total tax)

.04 or 4%

Answer:

k = -1/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(k−5)=−16

(3)(k)+(3)(−5)=−16(Distribute)

3k+−15=−16

3k−15=−16

Step 2: Add 15 to both sides.

3k−15+15=−16+15

3k=−1

Step 3: Divide both sides by 3.

3k /3 = −1 /3

k =  −1 /3

Answer:

The positive sums are:

B. 5 + (–2)

C. –3 + 4

E. –2 + 4

Step-by-step explanation:

We can simply observe the sums to conclude that the sum will be positive or negative.

A. –5 + (–2)

We can see that both numbers are negative, the sum of two nu=egative numbers is also negative.

-5+(-2) = -5-2 = -7

B. 5 + (–2)

The number with greater magnitude is positive so the sum will also be positive.

5 + (–2) = 5-2 = 3

C. –3 + 4

The number with greater magnitude is positive so the sum will also be positive.

-3+4 = 1

D. 0 + (–3)

The number with greater magnitude is negative so the sum will also be negative.

= 0-3 = -3

E. –2 + 4

The number with greater magnitude is positive so the sum will also be positive.

-2+4 = 2

Hence,

The positive sums are:

B. 5 + (–2)

C. –3 + 4

E. –2 + 4

Answer:

\( \huge{ \bold{ \boxed{ \tt{x = 5}}}}\)

Step-by-step explanation:

\( \text{3(2x - 3) + 3 = 24}\)

\( \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }\)

\( \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}\)

\( \text{➳ \: 6x - 9 + 3 = 24}\)

\( \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}\)

\( \text{➳ \: 6x - 6 = 24}\)

\( \text{Step \: 3 : Add \:6 \: on \: both \: sides}\)

\( \text{➳ \: 6x - 6 + 6 = 24 + 6}\)

\( \text{➳ \: 6x = \: 30}\)

\( \text{Step \: 4 : Divide \: both \: sides \: by \: 6}\)

\( \text{➳ 6x / \: 6 \: = \: 30/ \: 6}\)

\( \text{➳ \: x = 5}\)

\( \text{The \: value \: of \: x \: is \: 5}\)

\( \text{Hope \: I \: helped!}\)

\( \text{Best \: regards!}\)

~\( \text{TheAnimeGirl}\)

Answer:

\(unit \: rate = \frac{distance}{time} \)

unit rate is similar to speed / velocity:

\(unit \: rate = \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\ \\ = \frac{1}{2} \div \frac{1}{3} \\ \\ = \frac{1}{2} \times \frac{3}{1} \\ \\ = > { \boxed{ \boxed{unit \: rate = \frac{3}{2} \: miles \: per \: hour}}}\)

[unit rate must have units including per <time> ]

Step-by-step explanation:

4+8x+2=0

6+8x=0

x=6/8

x=3/2

Answer:

6+8x

Step-by-step explanation:

Answer:

4x+8

Step-by-step explanation: