A rate of change of zero is nothing but the horizontal line.
That is, there is no change in y value, when the x value changes.
Hence, the correct option is option B.
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
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%
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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a party supply company rents two different sizes of tables:
a small square table will seat 4 guests
a large circular table will seat 6 guests
the formula G=4S + 6C calculates the number of guests that can be seated when s, Square tables and C, circular tables are rented.
which of these literal equations shows the result of rearranging the formula to solve for another variable
Both options A) S = (G - 6C)/4 and B) C = (G - 4S)/6 show the result of rearranging the formula to solve for another variable.
To rearrange the formula G = 4S + 6C to solve for another variable, we need to isolate the desired variable on one side of the equation. Let's consider the possible options:
A) S = (G - 6C)/4
B) C = (G - 4S)/6
C) G = 4S - 6C
D) G = 4S + 6C
To determine which literal equation shows the result of rearranging the formula to solve for another variable, we need to analyze each option.
Option A) S = (G - 6C)/4: This equation solves for the variable S by isolating it on one side of the equation. By rearranging the original formula, we can express S in terms of G and C. This equation is correct.
Option B) C = (G - 4S)/6: This equation solves for the variable C by isolating it on one side of the equation. By rearranging the original formula, we can express C in terms of G and S. This equation is correct.
Option C) G = 4S - 6C: This equation is the original formula, not rearranged to solve for another variable. It does not show the result of rearranging the formula.
Option D) G = 4S + 6C: This equation is the original formula, not rearranged to solve for another variable. It does not show the result of rearranging the formula.
In conclusion, both options A) S = (G - 6C)/4 and B) C = (G - 4S)/6 show the result of rearranging the formula to solve for another variable.
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Write an equation in point-slope form for the line that has a slope of 45 and contains the point (−5,−3).
Answer:
y+3=45(x+5)
Step-by-step explanation:
Hi there!
Point-Slope Form:
y-y1=m(x-x1)
Where
y1 stands for the y-coordinate of the point
m stands for the slope of the line
x1 stands for the x-coordinate of the point
In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.
Plug in the values and solve:
y-y1=m(x-x1)
y-(-3)=45(x-(-5)
y+3=45(x+5)
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.
\(\bf{MysteriousSparkle}\)
Which expression is equivalent to x^-5/3
Answer:
b
Step-by-step explanation:
\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)
So the root is 3 and the power is 5
finally your answer
\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)
whats 10 x 34? please tell me
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
Help!
A. 1.5
B. 18
C. 24
D. 15
Answer:
the answer is B
Step-by-step explanation:
Stan pays a 10% deposit to put a pool table on lay-by.
If the pool table costs $1590, how much does he have left to pay?
Answer:
$1431
Step-by-step explanation:
If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.
True or False? The graph of sine can be used to construct the graph of the secant function.
True
Note that:
\(secant \theta = \frac{1}{cos\theta}\)
The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.
That is, sin x = cos (90 - x)
Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function
Mathematically:
since sec x = 1 / cos x
and, cos x = sin (90 - x)
therefore, sec x = 1 / sin (90 - x)
The graphs of the sine and secant functions are attached to this solution
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A population of 100 insects tripled in size every month. Write a function formula to represent the insect population after x months
Answer:
3x+100
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answer:
B) (-∞,1)
Step-by-step explanation:
g(x)=-2f(x)+1
g(x)=-2(10^x)+1
Therefore, x can be any real number, but y can be any real number that's less than 1. This means B is correct.
Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
True or False?
If you multiply two matrices and obtain the identity matrix, it can be assumed the matrices are inverses of one another.
Explanation:
Answer:
False
Step-by-step explanation:
This is all I can think of.
Multiply two matrices and obtain the identity matrix, it can be assumed the matrices are inverses of one another. so, this statement is true.
Inverse of matrix is a matrix derived from another matrix such that if you multiply the two you get a unit matrix. Square matrices with a an inverse are called non singular matrices while those without an inverse are called singular matrices (determinant is zero). Inverses and determinant are only calculated for square matrices.
Two matrices are said to be inverse of each other.
If A B = B A = I, where I is the identity matrix.
So, the matrices are inverses of one another if the product of two square matrices is the identity matrix.
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guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.
A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500.
The counselor converts the frequency table to a conditional relative frequency table by column.
A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0.12, 0.88, 1.0. The third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries X, Y, 1.0.
What is the value of X?
0.16
0.20
0.24
0.40
Answer:
C:0.24
Step-by-step explanation:
The city council voted on a new tax. 54 city council members voted in favor of the tax and 21 voted against the tax. What percentage of the city council members voted in favor of the tax.
Write answer using a percent sigh.
The percentage of the city council members who voted in favor of the tax is 72%.
How to calculate the percentage?From the information, the city council voted on a new tax and 54 city council members voted in favor of the tax and 21 voted against the tax.
The total number of people who voted will be:
= 54 + 21
= 75
Those who voted in favor can be represented as a percentage illustrated thus:
= People who voted in favor / Total number of vote × 100
= 54 / 75 × 100
= 72%
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Find the range for the measure of the third side of a triangle given the measures of two sides. 5 m, 11 m, ?
a. 16 < x < 6
b. 3 < x < 7
c. 5 < x < 11
d. 6 < x < 16
Answer:
d
Step-by-step explanation:
the length of the third side should be less than the sum of other two sides, that is 5+ 11 = 16 and it should be greater than the 5
6 < x < 16
Sandy threw a ball 86 inches. She
picked it up and threw it another 12
inches. Then she threw it another 10
inches. How many feet in total, did
Sandy throw the ball?
Due tomorrow
graph the linear equation
y+2=-3(x+2)
Here is how your graph should look. Make sure to plot (0,-8) as your y-intercept.
Hope this can help ! :)
PLEASE HELP EASY!!!!!!
Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.
What salary will workers have in each salary?Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.
On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.
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What is the area of the triangle show above
Answer:
A = 64 units²
Step-by-step explanation:
A = 1/2bh
Step 1: Define
A = ?
b = 16 units
h = 8 units
Step 2: Substitute and Evaluate
A = 1/2(16 units)(8 units)
A = (8 units)(8 units)
A = 64 units²
Luke types 180 words in 4 minutes. Enter the number of words Luke types in 9 minutes at this rate.
Given data:
The number of words Luke type in 4 minutes is w=180 words.
The given expression is,
4 min=180 words
1 min =45 words
Multiply the above expression by 9.
9 min=405 words.
Thus, Luke types 405 words in 9 minutes.
Matthew collected data on what types of pets sixth grade students owned.
He asked 200 students and then created this graph.
Based on the circle graph, how many students own a dog?
Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly and be organized.
11. A maker of frozen meals claims that the average caloric content of its meals is 800. A
researcher tested 12 meals and found that a sample mean was 815 calories and the sample
standard deviation 25. Is there enough evidence to reject the claim at a =0.02? Assume the
variable is normally distributed. Use p-value method or traditional method. (hint: two-tail
test) write your answer three decimal places (8 points)
Step-by-step explanation:
A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car
Find the mode for the group of data items.If there is no mode, so state.
1.1, 2.3, 1.6, 2.9, 1.1, 2.3, 1.1, 8.8, 8.8, 1.8
Answer:
the mode of this question is 1.1
Answer:
1.1
Step-by-step explanation:
it appears more because mode is the most frequent
Which two of these squares have the same amount shaded? A P and Q B P and S C Q and R D R and SPRQSRELEASE
Answer:
There is no picture but I think b
Step-by-step explanation:
If tan k times 90 = 0 then k is an even integer.
It is true that If tan k times 90 = 0 then k is an even integer.
What is meant by integer?An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.
Here,
Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).
To Use the unit circle
tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)
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7u<42
solve the inequality for U
Answer: u<6
Step-by-step explanation:
Isolate u by dividing both sides of the inequality by 7
\(\frac{7u}{7} < \frac{42}{7} \\u < 6\)
u<6
Solution:In order to solve this inequality, we need to divide both sides by 7.Remember, our goal is to find the value of u.We know that 7u is less than 42.So, divide both sides by 7:u<6So u is less than 6.This also means that the numbers less than 6 will satisfy the inequality (make it true).Hope it helps.
Do comment if you have any query.
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm
long. How many centimeters long was the actual tank?
cm
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.
To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.
Let's denote the length of the actual tank as "x".
According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.
So, we can set up the following proportion:
1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)
Cross-multiplying and solving for x, we get:
x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm
The actual tank is 1620 cm long.
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. Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:
a. Bert gets a Jack and Ernie rolls a five.
b. Bert gets a heart and Ernie rolls a number less than six.
c. Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.
d. Bert gets a red card and Ernie rolls a fifteen.
e. Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.
Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.
What is probability, exactly?The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.
Here,
a.
P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)
= (4/52) * (1/12)
= 1/78
b.
P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)
= (13/52) * (5/12)
= 65/624
c.
P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)
= (12/52) * (6/12)
= 1/4
d.
P(Bert gets a red card and Ernie rolls a fifteen) = 0
e.
Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:
A regular 52-card deck contains 48 cards that are not Jacks,
so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.
On a 12-sided dice with 11 possible outcomes,
Ernie rolls a non-12th-number (1, 2, 3, etc.).
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