Write an equation in slope-intercept form for a line
perpendicular to
y=−3x+3 and passing through the point (9,-1)
y =

Answer:

Step-by-step explanation:

Distribute the negative sign

m = -4 - m +2

Add m to both sides

2m = -2

Divide by 2 on both sides

m = -1

Answer: m= -1

Step-by-step explanation:

Answer:

(x-3)(x-2)

Step-by-step explanation:

none cause you dont want one

Answer:

17 calories

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

The equation which best shows the relationship between Davis' savings, y and the number of months passed, x is; y = 20 + 5x.

It follows from the task content that the equation which represents the relationship between Davis' savings and the number of months passed be determined.

According to the task content;

Davis has $20 in his savings account, and he adds $5 every month.

Therefore, we have;

y = 20 + 5x

This follows from the fact that the amount added after each month is $5.

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Answer:

13

Step-by-step explanation:

it just 13$ so yeah your welcome

Answer:

12.8

Step-by-step explanation:

Look at the zero in the end (hundreths place). Since it is zero keep everything the same!

If it is higher than 5, round up

If it is 5 or below round down.

0 is special because you can just keep everything the same.

Hope this helps!

a) The probability that the battery lasts more than 4 hours is 0.758 (rounded to 3 decimal places).

b) The 25% value is 240 minutes, and the 75% value is 310 minutes.

c) The value of life in minutes that is exceeded with 95% probability is 357 minutes.

a) To find the probability that the battery lasts more than 4 hours (240 minutes), we first need to convert 240 minutes into a z-score.
z = (X - μ) / σ
z = (240 - 275) / 50
z = -0.7
Now, we'll use a z-table to find the probability that the battery lasts more than 4 hours:
P(Z > -0.7) = 1 - P(Z ≤ -0.7) = 1 - 0.2420 = 0.758
The probability that the battery lasts more than 4 hours is 0.758 (rounded to 3 decimal places).
b) To find the quartiles, we'll use the z-table to find the z-scores corresponding to 25% and 75%:
25%: z = -0.674
75%: z = 0.674
Now, we'll convert the z-scores back into minutes:
Q1 = μ + z * σ = 275 + (-0.674) * 50 = 240 (rounded to the nearest integer)
Q3 = μ + z * σ = 275 + (0.674) * 50 = 310 (rounded to the nearest integer)
The 25% value is 240 minutes, and the 75% value is 310 minutes.
c) To find the value of life in minutes that is exceeded with 95% probability, we first find the z-score corresponding to 95%:
95%: z = 1.645
Now, we'll convert the z-score back into minutes:
X = μ + z * σ = 275 + (1.645) * 50 = 357 (rounded to the nearest integer).

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The required measure of the angle ∠KJL is 40°.

From the figure,
The circle O, with tangent JPL and secant JIKY,
The sum of the arcs is 360°,

KP + IP + IK = 360°
IP + IP + 120 = 360
IP = 80°

Now,
KP = 2 × 80 = 160°

Here,
Following the expression to determine the ∠KJL,
= KP - IP / 2
= 160 - 80 / 2
= 40°

Thus, the required measure of the angle ∠KJL is 40°.

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\(f(x)=x+7\\g(x)=x-4\\f(x)*g(x)=(x+7)(x-4)\\f(x)*g(x)=x^2+3x-28\)

So it's x^2+3x-28

Answer

the third side can measure 2 in, 3 in, or 4 in

Explanation

inequality theorem

a + b > c

a + c > b

b + c > a

2 = a

b = 3

c = x

a + b > c

2 + 3 > x

5 > x

x= 4, 3, 2, or 1 in

a + c > b

2 + x > 3

x = 4, 3, or 2

b + c > a

3 + x > 2

x = 4, 3, or 2

Answer:

The equation of the line is -5/4

Step-by-step explanation:

-The order of rotational symmetry is 3

- Symmetry occurs after a rotation of 240

- The figure has 3 lines of reflections symmetry

explanation: right on ed

Answer:

A B and D

Step-by-step explanation:

you're welcome

brainliest

Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

5.3

It is a rational number because 5.3 can be made into a fraction or ratio .

hope it helps!

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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The angle of depression of the boat from the top of the cliff = 51.78 degrees

To calculate the angle of depression of the boat from the top of the cliff, we need to draw a diagram to visualize the situation.

In this instance, we can draw a right-angled triangle with one side representing the cliff's height (94m) and the other representing the horizontal distance between the boat and the cliff's foot. (74m). This triangle's hypotenuse depicts the line of sight from the top of the cliff to the boat.

The angle of depression is defined as the angle formed by the horizontal line and the line of sight from the cliff's summit to the boat.

We can use the tan function to determine this angle.

tan(angle of depression) = (height of cliff) / (horizontal distance from the boat to the foot of the cliff)

tan(∅) = (h/x)

tan(angle of depression) = 94 / 74

angle of depression = \(tanx^{-1} (94/74)\)

angle of depression = 51.788974574 degrees

Therefore, the angle of depression of the boat from the top of the cliff is approximately 51.78 degrees.

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The angle of depression of the boat from the top of the cliff is approximately 50.67 degrees.

To calculate the angle of depression of the boat from the top of the cliff, we can use trigonometry. The angle of depression is the angle formed between the horizontal line (parallel to the ground) and the line of sight from the top of the cliff to the boat.

In this scenario, we have a right triangle formed by the cliff, the boat, and the horizontal line connecting them.

Let's denote the angle of depression as θ.

Using trigonometric ratios, we can use the tangent function to calculate the angle of depression:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height of the cliff (94 meters) and the adjacent side is the horizontal distance from the foot of the cliff to the boat (74 meters).

tan(θ) = 94/74

To find θ, we can take the inverse tangent (arctan) of both sides:

θ = arctan(94/74)

Using a calculator or trigonometric table, we can find that θ is approximately 50.67 degrees.

Therefore, the angle of depression of the boat from the top of the cliff is approximately 50.67 degrees.

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The value of the first term (a1) is 10.

The value of the common difference (d) is -3.

Option D is the correct answer.

We have,

In the explicit formula for an arithmetic sequence, the term "an" represents the nth term of the sequence.

In this case, the explicit formula is given as an = 13 - 3n.

To find the value of the first term (a1) and the common difference (d), we substitute n = 1 into the formula.

a1 = 13 - 3(1)

a1 = 13 - 3

a1 = 10

To find the common difference (d), we can observe that in an arithmetic sequence, the difference between consecutive terms is constant.

In this case, the coefficient of n in the formula represents the common difference.

The coefficient of n is -3, so the common difference (d) is -3.

Therefore,

The value of the first term (a1) is 10.

The value of the common difference (d) is -3.

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Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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The probability of two Fords being chosen is 5/10 x 4/9, or approximately 0.44.

Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. Probability is quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. Probability is used to determine the outcomes of experiments and to make predictions about the future. It is also used to make decisions and analyze data.

The probability of two General Motors vehicles being chosen is 3/10 x 2/9, or approximately 0.22. The probability of two Chryslers being chosen is 2/10 x 1/9, or approximately 0.11. The probability of one Ford and one General Motors vehicle being chosen is 5/10 x 3/9, or approximately 0.33. The probability of one Ford and one Chrysler being chosen is 5/10 x 2/9, or approximately 0.22. Finally, the probability of one General Motors vehicle and one Chrysler being chosen is 3/10 x 2/9, or approximately 0.22.

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Answer:

£807.84

Step-by-step explanation:

Cost of Collins car insurance per year = £766.45

Percentage increase in price = 5.4%

How much does the insurance cost now?

Cost of the insurance now = £766.45 + 5.4% of £766.45

= 766.45 + 5.4/100(766.45)

= 766.45 + 0.054(766.45)

= 766.45 + 41.3883

= 807.8383

Cost of the insurance now = £807.84

the answer is t<-48

i hope this helped you if you need the explanation lmk

Answer:

c=ad/b

Step-by-step explanation:

The answer of resulting vector "f(uv)=ue v−sin( vu)+u 3v 2" depends on the specific values of \(e^5, e^8,\) sin(-10), sin(-40), and the fractions involved, so it cannot be determined exactly without those values.

To evaluate the expression f(uv) = u\(e^v\) - sin(vu) + u/(3\(v^2\)), we'll use the given vectors u = <-2, -5> and v = <5, 8>. First, let's calculate the individual components of the expression:

u\(e^v\): Multiply each component of u by \(e^v\). ue^v = <-2\(e^5\), -5\(e^8\)>. sin(vu): Multiply each component of v by the corresponding component of u, and take the sine of the resulting vector. vu = <5*(-2), 8*(-5)> = <-10, -40>. sin(vu) = <sin(-10), sin(-40)>.

u/(32): Divide each component of u by the square of the corresponding component of v, multiplied by 3. \(v^2 = < 5^2, 8^2\)> = <25, 64>. u/(32) = <-2/(325), -5/(364)>.

Finally, we add all the calculated vectors together to obtain the final result: f(uv) = u\(e^v\) - sin(vu) + u/(3\(v^2\)) = <-2e5, -5e8> - <sin(-10), sin(-40)> + <-2/(325), -5/(364)> = <-2e^5 - sin(-10) - 2/(325), -5e^8 - sin(-40) - 5/(364)>.

The resulting vector depends on the specific values of \(e^5, e^8,\) sin(-10), sin(-40), and the fractions involved, so it cannot be determined exactly without those values. However, by substituting the known values, you can obtain the numerical evaluation of the expression f(uv).

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you have to follow PEMDAS. you multiply first and then subtract. I hope this helps and let me know if I got it wrong. Sorry it’s upside down. Click on the picture and then flip it using the icon at the top

Answer:

Option B

Step-by-step explanation:

Given expression in the picture is,

\(13a^2-\frac{1}{4}(8a^2-12)+5a\)

\(=13a^2-\frac{1}{4}(8a^2)+\frac{12}{4}+5a\) [Distributive law]

\(=13a^2-2a^2+3+5a\)

\(=11a^2+5a+3\)

Therefore, Option B will be the correct option.

Answer:

area of figure (a) = 152cm²

.

.

.

.

.

.

.

.

same method will be used to solve ( b) and (c)

Answer:

3

Step-by-step explanation:

2 1/2 pounds is equal to one pound.

If you want to make 1/3 pound hamburgers you can make 3 from 1 pound ground beef.

1/3+1/3+1/3=1

Step-by-step explanation:

Here the value of x will be 55° as it is vertically opposite to 55°....

Now ,

y + 55° = 180° ( straight angle )

y = 180° - 55°

y = 125°

Now ,

z = y ( vertically opposite angle )

z = 125°

\(...\)

hence...the value of x is 55° and y and z is 125°

Answer:

Step-by-step explanation:

x = opposite angle = 55°

y+z = 360 - 55 - 55 = 250°

y+z = 250°

y = z (opposite angle)

y = z = 250° : 2 = 125

A shape must cross a line in order to be reflected.

Because a reflection across BA will map ABC to ABD, the true statement is (c).

A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.

here, we have,

Sides AC and AD of both triangles are congruent

Sides BD and BC of both triangles are congruent

The triangles share a common side AB

This means that a reflection over line AB will map both triangles.

Hence, the true statement is (c)

The complete question is given below.

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

yes, because a translation to the right will map ΔABC to ΔABD

yes, because a rotation about point B will map ΔABC to ΔABD

yes, because a reflection across BA will map ΔABC to ΔABD

no, because no rigid transformation will map ΔABC to ΔABD

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