Diana got 0.85 of the questions correct on her assessment. What fraction
represents the amount of questions she got incorrect?

Answer:

y = x² - 2 is not linear (see plot)

Step-by-step explanation:

y = -4x - 12    has slope -4 and y intercept 12, linear

y = 5x            has slope 5 and y intercept 0, linear

y = 17             has slope 0 and y intercept 17, linear

Answer:

y=17, because a linear function needs an x and y and at least two points. This is just one point.

Answer:

A. $1389.69

Step-by-step explanation:

To calculate the new monthly mortgage payment that Carissa will start paying going forward, we use the formula for calculating monthly mortgage payments.

The formula is:- M = P { [r ( 1+ r)^n] ÷ [ ( (1+r)^n) -1] }

Here, M is the monthly mortgage payment.

P is the principal

r is the monthly interest rate calculated by dividing your annual interest rate by 12

n is the number of payments(the number of months you will be paying the loan).

Hence, the new principal that Carissa must payback is $231,905.47¢.

The annual interest rate has been reduced to 5.25% from 5.75%.

Therefore, the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

= 5.25%/2

= 0.438%

This is the new monthly interest rate.

Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

300 is, therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage are now complete.

P = $231,905.47¢

r = 0.4375%

n = 300

M = 231,905.47 { [0.004375 (1+0.004375) ^300] ÷ [ ( (1+0.004375) ^ 300 ) - 1] }

= 231,905.47 { [ 0.004375 (3.7048) ] ÷ (2.7048) }

= 231,905.47 × 0.005992

M = $1,389.69

Therefore her new monthly mortgage payment will become $1,389.69

Answer: $1389.69

Step-by-step explanation:

Answer:

ok good job

Step-by-step explanation:

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Answer:

Transformations of f(x) = ⅙(-2x + 1)² + 4:

Answer:

Option B, \((y - z)(y-10)\)

Step-by-step explanation:

Step 1:  Factor out y and -z

\(y^2 - 10y - yz + 10z\)

\(y(y - 10) - z(y - 10)\)

\((y - z)(y-10)\)

Answer: Option B, \((y - z)(y-10)\)

Answer:

The answer is B,

(y-z)(y-10)

Step-by-step explanation:

y^(2) + 10z - 10y-yz

Add and subtract the second term to the expression and factor by grouping.

=(y-z)(y-10)

Answer:

7,3,19,5              SECOND              1,2,3,4

Step-by-step explanation:

answer on edg.

Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

11) 1/3

12) 5/3

13) -3/5

14) 4/3

15) -3/5

16) 2/4

Step-by-step explanation:

Answer:

option B 4√5 is the correct answer of this question .

plz mark my answer as brainlist plzzzz if you find it useful.

Hope this will be helpful to you ☺️.

Answer:

B

Step-by-step explanation:

easy

2x5 is 10, 3x5 is 15

15+10 = 25

25-5 = 20

4x5=20

The curvature of the parameterized curve r(t) =\((6+5t^2\), t, 0) is k = 100 / (\(100t^2\) +\(1)^(3/2)\).

To use the alternative curvature formula, we first need to find the acceleration vector and the speed of the parameterized curve:

r(t) = (\(6+5t^2\), t, 0)

Velocity vector:

r'(t) = (10t, 1, 0)

Speed:

|v| = √(\(10^2t^2\) + \(1^2\)) = √(\(100t^2\)+ 1)

Acceleration vector:

r''(t) = (10, 0, 0)

Now, we can use the formula k= \(|a*v|/|v|^3\) to find the curvature:

k =\(|a*v|/|v|^3\)

k = |(10, 0, 0) x (10t, 1, 0)| / (\(100t^2\) + \(1)^(3/2)\)

k = |(0, 0, -100)| / \((100t^2 + 1)^(3/2)\)

k = 100 /\((100t^2 + 1)^(3/2)\)

A parametrized curve is a way to represent a curve in a coordinate system using a parameter, typically denoted by t. The parameter t represents the position of a point on the curve as it varies over some interval.  

The curve is defined by a vector-valued function r(t) = (x(t), y(t), z(t)) where x(t), y(t), and z(t) are the component functions of the curve. As t varies, the function r(t) traces out the curve in three-dimensional space.

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Answer:

4 shirts and 3 keychains

Step-by-step explanation:

1 shirt cost $30

So 4 shirts cost 4×30=$120

1 keychain cost $ 4.50

3 keychains cost 4.50×3=$13.50

Total =$120+$13.50=$133.50

Answer:

  4 shirts

Step-by-step explanation:

An equation can be written that relates the number of items bought and their cost. Let s represent the number of shirts bought. Then (7-s) is the number of keychains. The total cost was ...

  30s +4.50(7 -s) = 133.50 . . . . total cost of items bought

  25.50s +31.50 = 133.50 . . . . simplify

  25.50s = 102.00 . . . . . . . . . . subtract 31.50

  s = 102.00/25.50 = 4 . . . . divide by the coefficient of s

Barb bought 4 shirts.

_____

Additional comment

The other 3 items she bought were keychains.

We could write 2 equations using 2 variables:

If we solved this by substituting for k, we would have ...

  30s +4.50(7 -s) = 133.50 . . . . . the equation we used above

Answer:

100 + 5f = 40

5f = -60

f = -12 feet per minute (decrease of 12 feet per minute)

Answer: (2, 3)

Step-by-step explanation: This graph depicts a parabola. The vertex of a parabola is the point at the intersection of the parabola, and it is the line of symmetry. In other words, it is the point where the parabola crosses its axis of symmetry. Therefore, the ordered pair of (2, 3) represents the vertex of this graph.

Answer:

A

Step-by-step explanation:

Because the cost per pie is less.

Step-by-step explanation:

you mean the slope of the line between (8, 9) and (23, 9).

we can see that right away, as the y value does not change. it means it is a flat line, and that means the slope is 0.

now, formally :

the slope of a line is (y coordinate change / x coordinate change) when going from one point on the line to another.

the direction does not matter, but once we pick one for the comparison of one coordinate, we have to use the same direction also for the other.

I prefer to go from left to right.

so, from (8, 9) to (23, 9).

x changes by +15 (from 8 to 23).

y changes by 0 (from 9 to 9).

the slope is therefore 0/+15 = 0.

Answer:

13ft a second it's just a an average it the feet divided by the time by 2

Answer:

x=2y-4

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

:P

The length of the third side of the triangle must be less than the sum of the two other sides given.

k < 10 cm.

The possible lengths of the triangle is determined from the rules of length of a triangle.

The rule of lengths of triangle states that the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides.

Let the third side of the triangle = k

The possible values of k is determined as;

k < ( 3 cm + 7 cm)

k < 10 cm

Thus, the length of the third side of the triangle must be less than the sum of the two other sides given.

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Now we can see that our fraction is 30/100, which means that 12/40 as a percentage is 30%.

hope this helps if so then please mark em brainliest

If not then i am very sorry

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

It’s A

Step-by-step explanation:

The area of the figure is equal to 400+32pi \(in^{2}\).

What is a semi-circle?

A semicircle is a half circle created by splitting a circle into two equal parts. It is created when a line pierces the circle's center and touches its two ends.

The given figure consists of a rectangle and a semicircle.

We will individually find the area of the rectangle and the semi-circle and we will at those two to get the area of the given figure.

The length of the sides of the rectangle is 25 inches and 16 inches.

The area of the rectangle is the product of length and width which is equal to 400.

The diameter of the semi-circle is equal to 16 in, so the radius of the semi-circle is equal to 8 in.

The area of the semi-circle is equal to \(\frac{\pi r^{2} }{2} =\frac{\pi 64}{2} =32\pi\).

The total area is equal to 400+32pi \(in^{2}\).

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Answer:

256

Step-by-step explanation:

(a^n)^m = a^nm

=(8^⅔)⁴ =8^⅔×⁴

=2³×⅔×⁴ (8 = 2³)

=2^8 =256

Answer:

Step-by-step explanation:

8 = 2*2*2 = 2³

\(\left[8^\left(\dfrac{2}{3}\right) \right]^{{4}}=\left[2^{3}^\left(\dfrac{2}{3}\right) \right]^{{4}}\\\\\\=2^{3*\dfrac{2}{3}*4}\\\\\\=2^{2*4}\\\\\\=2^{8}\)