Find f(-8) when f(x)= -3x-19
Answers
Answer
5
Explanation
Given function:
\(f(x)=-3x-19\)To find f(-8) when f(x) = -3x - 19 implies you substitue x = -8 in the given function:
\(\begin{gathered} f(-8)=-3(-8)-19 \\ f(-8)=24-19 \\ f(-8)\text{ = 5} \end{gathered}\)Related Questions
Which expressions are equivalent to the expression 30x^2-5x-10
Answers
Answer:
10 (3 x - 1)
Step-by-step explanation:
Answer:
6 is equivalent as well as option 3
in the figure below ABC- XZY
find cosZ, sin Z, tan Z
round your answer to the nearest hundredth
Answers
The magnitude of angle Z include the following:
cosZ = 0.471
sinZ = 0.88
tanZ = 1.875
How to calculate the magnitude of angle Z?In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp
Where:
Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.For cosZ, we would apply the cosine trigonometric ratio as follows;
cosZ = 13.6/28.9
cosZ = 0.4706
Z = cos⁻¹(0.4706)
Z = 61.93°.
For sinZ, we would apply the sine trigonometric ratio as follows;
sinZ = 25.5/28.9
sinZ = 0.8824
Z = sin⁻¹(0.8824)
Z = 118.07.
For tanZ, we would apply the sine trigonometric ratio as follows;
tanZ = 25.5/13.6
tanZ = 1.875
Z = tan⁻¹(1.875)
Z = 61.93.
Problem 2.4 You would like to evaluate the probability of success for testing a batch of n processors. To start out, let's assume that if there is a problem with the batch, exactly 1 out of the n processors are defective. You are willing to test only k of the processors (due to budget or times constraints). (a) How many ways are there of testing k out of n processors
Answers
Answer:
The answer is "\(\bold{n_{C_{k}}}\\\)"
Step-by-step explanation:
\(\to {n_{C_{k}}} = \frac{n!}{K! (n-k)!}\)
For Example:
if n=5 and k=2
\(\to {5_{C_{2}}} = \frac{5!}{2! (5-2)!}\)
\(= \frac{5!}{2! (3)!}\\\\= \frac{5!}{2! \times 3!}\\\\= \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1}\\\\= \frac{5 \times 4 }{2 \times 1 } \\\\= \frac{5 \times 4 }{2} \\\\= 5 \times 2 \\\\= 10 \\\\\)
What is the midpoint of AB?
A
F
G H
B
-9-8-7-6
-5
-4 -3 -2 -1 0 1 2
3
4
5
02
7
8
9
O point F
point G
point H
O point 1
Answers
Answer:
87
Step-by-step explanation:
hijbgvyuhbgvfctygvibhujhgvcfturugvybhugyvuftcgvuhbj
16. What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft
Answers 96 ft³3 76 ft³ 152 ft³ 192 ft³
Answers
The volume of the composite figure is 228 ft³.
To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.
From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.
First prism:
Length = 8 ft, Width = 4 ft, Height = 6 ft
Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³
Second prism:
Length = 3 ft, Width = 2 ft, Height = 6 ft
Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³
Now, let's add the volumes of both prisms:
192 ft³ + 36 ft³ = 228 ft³
Therefore, the volume of the composite figure is 228 ft³.
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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft
Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³
For what value of Θ is cotΘ undefined?
0°
180°
270°
Answers
The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.
Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.
The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.
Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.
For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.
That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.
Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.
To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.
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rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
Answers
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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What are the 2 most important factors taken into account when calculating credit
score?
Answers
Answer:
Payment history makes up 35% of your credit score.
Your utilization rate makes up 30% of your credit score.
hope its correct
Rotation - Question 5
Answers
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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(3.5 x 10 ^5) x (4 x 10^ 3)
Answers
Answer:
1400000000
Step-by-step explanation:
3.5 x 10^5=350000
4 x 10^3=4000
350000 x 4000 = 1400000000
Hope this helped! xx
Step-by-step explanation:
3.5 x 10x10x10x10x103.5 x 100,000350,0004 x 10x10x104 x 1,0004,000350,000 x 4,0001,400,000,000
You are currently working for MAC Corp. and you have identified the following information for the first year of the roll-out of its new proposed project:
Projected Revenue $ 22 Million
Operating costs (does not include depreciation) $11 Million
Depreciation $6 Million
Interest Expense $3 Million
The firm faces a 25% tax rate. Assume that there are no changes in net operating working capital.
What is the project’s operating cash flow for the first year ( at end of Year 1 ==> t = 1 ) ?
Answers
Answer:
The project's operating cash flow for the first year is $7.5 million.
Step-by-step explanation:
To calculate the project's operating cash flow for the first year, we need to first calculate the operating income, which is the difference between the projected revenue and the operating costs. We can then subtract the depreciation and interest expense to get the pre-tax income. Finally, we can multiply the pre-tax income by the tax rate to get the income tax expense, and subtract it from the pre-tax income to get the net income.
The operating cash flow is equal to the net income plus the depreciation, as these are the two sources of cash inflow for the project.
Using the information provided, we can calculate the operating cash flow as follows:
Operating income = Projected revenue - Operating costs = $22 million - $11 million = $11 millionPre-tax income = Operating income - Depreciation - Interest expense = $11 million - $6 million - $3 million = $2 millionIncome tax expense = Pre-tax income x Tax rate = $2 million x 0.25 = $0.5 millionNet income = Pre-tax income - Income tax expense = $2 million - $0.5 million = $1.5 millionOperating cash flow = Net income + Depreciation = $1.5 million + $6 million = $7.5 millionIf a linear function has no restrictions, the domain of the function is
Answers
The Domain of the linear function with no restriction is (-∞,∞)
What is a linear function?A linear function is of the form f(x) = ax+ b, where a and b are constants , x is independent variable and the graph of such function is a straight line.
Domain of f is the set of all values of x for which function f is defined.
Given that the linear function has no restrictions , means the values of the function can be from anywhere of real line.
-∞ < f(x) < ∞
⇒ -∞ < ax+ b < ∞ , where a≠0
⇒ -∞- b < ax+ b-b < ∞ -b
⇒ -∞ < ax < ∞ ( adding or subtracting anything from infinity does not
make any difference)
⇒ -∞ < x < ∞
Thus the domain of the linear function which has no restriction is (-∞,∞)
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Find the average rate of change for the function f(x)=3x+17
Using the intervals of x=3 to x=6
Show ALL your work to receive credit
Answers
Answer: what unit is this?
Step-by-step explanation:yeah I’ll need the unit to solve this question
A data set includes 104body temperatures of healthy adult humans having a mean of 98.7degreesFand a standard deviation of 0.66degreesF.Construct a 99%confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6degreesFas the mean body temperature?
Answers
Answer:
The 99% confidence interval estimate of the mean body temperature of all healthy humans is between 98.53ºF and 98.87 ºF. 98.6ºF is part of the interval, so the sample suggests that the use of 98.6ºF as the mean body temperature is correct.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 104 - 1 = 103
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 103 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.624
The margin of error is:
\(M = T\frac{s}{\sqrt{n}} = 2.624\frac{0.66}{\sqrt{104}} = 0.17\)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 98.7 - 0.17 = 98.53ºF.
The upper end of the interval is the sample mean added to M. So it is 98.7 + 0.17 = 98.87 ºF.
The 99% confidence interval estimate of the mean body temperature of all healthy humans is between 98.53ºF and 98.87 ºF. 98.6ºF is part of the interval, so the sample suggests that the use of 98.6ºF as the mean body temperature is correct.
What is the solution set to log:(4x + 2) + 4 2 5?
(-0.5, 00)
[1.5, 00)
thy5.c)
[5,00)
Answers
Answer: (-0.5,00)
number one i think good luck
Step-by-step explanation:
arrange in order from least to greatest. -3/5, 7/-10,-5/6
\( \frac{ - 3}{5} \frac{7}{ - 10} \frac{ - 5}{6} \)
plzz help!!!
fast!!
it is due in 10 min..
I'll make brailiest whose ans is correct...
Answers
-7/10 = -0.7
-5/6 = -0.8333
It’s easier to put them in decimal form!
Remember that in the negatives, the highest number is the lowest.
From least to greatest;
-5/6, -7/10, and -3/5
What is the answer plz?
Answers
Answer:
A
Step-by-step explanation:
Answer:
Easy B
Step-by-step explanation: srry If It's Wrong
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answers
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
6/15 plus 3/10 plus 3/5
Answers
Answer:
1.3
Step-by-step explanation:
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
Answers
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Select all the ratio that are equivalent to 8:6.
A. 4:3
B. 6:8
C. 16:12
D. 10:8
E. 7:5
Answers
4:3 and 16:12
4 times 2 is 8
3 times two is 6 therefore
4:3 has the same value
same with the second except it is 8 and 6 times 2
Answer: A and C
Step-by-step explanation: If you take the ratio and divide both sides by 2, you get the equivalent ratio 4:3. Then if you take the ratio and multiple both sides by 2, you will get the equivalent ratio 16:12. This means that both A and C are equivalent to the ratio 8:6.
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
Answers
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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Question no 59
Need solution
Answers
The area of the shaded region is 104 cm²
How to determine the areaFirst, we need to know that the area of a circle is calculated using the formula;
A = πr²
Such that the parameters of the formula are;
A is the area of the circler is the radiusFirst, let us find the area of the small circle
Area = 3.14 × 4²
Find the square value and multiply, we have;
Area = 50.24cm²
Area of the large circle = 3.14 × 7²
Find the square value and multiply
Area = 153. 86cm²
Area of the shaded region = Area of large circle - area of small circle
= 153.86 - 50.24
= 104 cm²
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how many fourths in 1/4
Answers
Answer:
1
Step-by-step explanation:
a fourth is 1/4 meaning Fourth = 1/4
what did the teenage yardstick say to its parents
Answers
Answer:
I want to stand on my own three feet
Step-by-step explanation:
There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon.
1 L ≈ 0.26 gallons
6 kL ≈ fl oz
Answers
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
We have,
To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.
The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.
This means that for every kiloliter, there are 33814.0227 fluid ounces.
To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).
= 6 kL x 33814.0227 fl oz/kL
= 202884.1362 fl oz
Therefore,
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
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If two angles are supplementary and one angle is xº what is the measure of the other angle?
Answers
Answer:
Supplementary angles are equal to 180 so whatever number is on one angle the number subract that number with 180 and then you have answer for x
Step-by-step explanation:
Rectangle ABCD is dilated with center at (0, 0) and scale factor 2. Select the three statements that are true about the dilation.
Answers
Answer:
Options (3), (4) and (6)
Step-by-step explanation:
Coordinates of the vertices of the given rectangle are,
A(1, 5), B(3, 2), C(-3, -2) and D(-5, 1)
When rectangle ABCD is dilated by a scale factor of 2 about the origin,
Rule to be followed for the dilation,
(x, y) → (2x, 2y)
Therefore, image of the rectangle ABCD will be,
A(1, 5) → A'(2, 10)
B(3, 2) → B'(6, 4)
C(-3, -2) → C'(-6, -4)
D(-5, 1) → D'(-10, 2)
- Hence point B' is located at (6, 4).
- Rectangle ABCD and A'B'C'D' are similar as all the angles of image will be same as the pre-image after rigid transformation (dilation).
- Let the equation of the line B'C' is,
y = mx + b
Slope (m) = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{4-2}{6-3}\)
= \(\frac{2}{3}\)
Since B'C' will pass through origin, y-intercept will be zero.
Therefore, equation of B'C' will be,
y = \(\frac{2}{3}x\)
Options (3), (4) and (6) are the correct options.
Answer:
well im confused but dont you have to find the prime too
Step-by-step explanation:
X + 4.7 =-9.3
what is the value of x
Answers
Explanation:
x-4.7 = -9.3-4.7
x= -9.3-4.7
x=14
Answer:
its - 14
Step-by-step explanation:
John bikes 1 1/2 miles in every 1/5 hour.
Enter the number of miles John biked in 1 hour.
For mixed numbers, put a space between the whole number and the fraction.
Example: 2 2/3
1. Enter the number of miles John biked in 1 hour below. *
Your answer
Answers
Answer:
7 1/2 miles
Step-by-step explanation:
1 1/2 miles in every 1/5 hour
x miles in 1 hour
x equals 1 times 1 1/2 divided by 1/5
x equals 5 times 1 1/2
x equals 7 1/2
Answer:
the anser is 71/2
Step-by-step explanation:
because it is IT IS WAT IT IS
( i checked this it is right i just don't feel like explaining it
right now soooo ye.