Solution
\(\begin{gathered} 1)\frac{k}{4}=4 \\ k\text{ = 4}\times4 \\ k\text{ =16} \end{gathered}\)K= 16
\(\begin{gathered} 2)\frac{y}{3}=4 \\ y\text{ = 3}\times4 \\ y\text{ = 12} \end{gathered}\)
y =12
How many solutions are there to the equation below?|x| = -4
A 0
B 2
C 4
D 1
Answer:
There are 0
Step-by-step explanation:
Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true
Answer:
A 0
Step-by-step explanation:
There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.
If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.
You want to restrict the domain of the function shown in the graph below to make it one-to-one so that it will have an inverse. What are the largest domains, in interval notation you could use
Answer:
(-∞, -3] or [-3, ∞)
Step-by-step explanation:
You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.
One-to-oneA one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.
ApplicationFor that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).
The largest intervals on which the function has an inverse are ...
(-∞, -3] or [-3, ∞)
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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.
Explanation:To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.
If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.
For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.
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Convert 4
3
5
cups to pints.
2 cups = 1 pint PLEASE HELP!
Answer:
4 cups=2 pint
3 cups=1.5 pint
5 cups=2.5 pints
Step-by-step explanation:
Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.
4/2=2
3/2=1.5
5/2=2.5
Let me know if you have any questions!
what is the X intercept of the graph of the equation Y=-2x +6 in the xy-plane
Answer:
( 3 , 0 )
Step-by-step explanation:
→ When does the x - intercept occur
when y is 0
→ Substitute y = 0
0 = -2x + 6
→ Subtract 6 from both sides
-6 = -2x
→ Divide both sides by -2
3 = x
What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2
Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
progably B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
2 more than n is the quotient of n and 6
Answer:
6n+2
Step-by-step explanation:
It costs James $4 to make an order of a dozen cookies. If he sells them for $20, what percentage is each order of cookies marked up?
HELP ASAP THANK YOU SO MUCH
A) 20%
B) 80%
C) 400%
D) 500%
Answer:
Step-by-step explanation:] Answer would be 400%
New value - Original Cost
Original value
= 20 - 4/4
= 16/4
= 4 x 100
= 400%
A worker is getting a 5.5% raise. His current salary is $41,465. How much will his raise be?
the increase = $2280.58
the new salary = $43745.58
Explanation:Percent Increase = 5.5% raise
current salary = $41465
The increase in amount = Percent Increase × current salary
\(\begin{gathered} \text{The raise in amount = 5.5\% }\times\text{ 41465} \\ \text{The raise in amount = 0.055 }\times\text{ 41465} \\ \text{The raise in amount = }2280.575 \\ \\ \text{The amount that will be added to the current salary = \$2280.58 (nearest cent)} \end{gathered}\)\(\begin{gathered} \text{His new salary = current salary + increase in amount} \\ \text{His new salary = \$41465 + 2280}.58 \\ \text{His new salary = \$}43745.58 \end{gathered}\)find the positive suare root of the following number 57.27
The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.
To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.
Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.
Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.
If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.
Starting with an initial guess of, let's say, 7, we can use the formula:
x(n+1) = (x(n) + (57.27/x(n)))/2,
where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.
After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.
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At a workshop , each of the 100 participants hugs each other participants once. Find the total number of hugs?
Answer:
10000
Step-by-step explanation:
100 hugs x 100 hugs
= 10,000 hugs.
Identify the null and alternative hypotheses for the following problems.
a. The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.
b. Economists have stated that the marginal propensity to consume is at least 90¢ out of every dollar.
c. It has been stated that 75 out of every 100 people who go to the movies on Saturday night buy popcorn.
The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.
The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.
What is null and alternate hypothesis?
The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.
We are given a statement,
The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.
According to null hypothesis, There is no difference or change
Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.
Where as in alternate hypothesis, There should be a difference of change
Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.
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What is the area of this figure?
Answer:
35 cm^2
Step-by-step explanation:
First find the area of a square by multiplying its side lengths together: 5 * 5 = 25 cm^2.
Now find the area of the triangle by multiplying the base by the height and dividing by 2: 4 * 5 / 2 = 10 cm^2.
Therefore the total area of the figure is 25 + 10 = 35 cm^2.
f(x)=3x^6+4x^3-2x^2+4find all possible zeroes
Solution:
Given the function below
\(f\mleft(x\mright)=3x^6+4x^3-2x^2+4\)For teh possible roots;
\(\begin{gathered} a_0=4,\:a_n=3 \\ \mathrm{The\:dividers\:of\:}a_0:1,\:2,\:4 \\ \begin{equation*} \mathrm{The\:dividers\:of\:}a_n:1,\:3 \end{equation*} \\ \mathrm{The\:following\:rational\:numbers\:are\:candidate\:roots:}\pm\frac{1,\:2,\:4}{1,\:3} \end{gathered}\)From the deduction above,
The possible rational roots is
\(±1,\pm\frac{1}{3}\pm2,\pm\frac{2}{3},\pm4,\pm\frac{4}{3}.\)Hence, all the possible zeros is
\(\)Need answer asap.......
Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.
A) X is the number of hours, and 15, or b is the tip
B) y= 30x + 15.
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
A quarter is tossed. How many total number of outcomes are there? total number of outcomes
Answer:
2
Step-by-step explanation:
Answer:
2 is the correct answer please mark brainliest
Step-by-step explanation:
PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP
Answer:
1) B
2) B
Step-by-step explanation:
1) funtion 1 slope is 4
function 2 we use y2-y1/x2-x1
10-6/3-1
4/2
2 is the slope of function 2
so function 1 is bigger
1) only b is correct because it lands on the same line of y=x
hopes this helps please mark brainliest
Find the mode of 1, 4, 24, 14, 98, 37
Answer:
There is no mode
Step-by-step explanation:
Mode is the most occurring no. and there's no number which is the most occurring.
Answer:
No mode
Step-by-step explanation:
In a set of numbers, mode is the most repeated number.
1, 4, 24, 14, 98, 37
There are no repeated numbers in this set.
help..............................................................
Answer:
This will now be ⁴√(7^9)
Step-by-step explanation:
c=4
a=7
b=9
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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Find the exact value of (7\pi )/(6)) by using the unit circle.
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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need help with algebra problem
Answer:
\(option \: d \: 4.2 \times {10}^{ - 3} \)
Step-by-step explanation:
Multiplication,
\( = 8.4 \times {10}^{ 8 } \times 5 \times {10}^{ - 11} \\ = 8.4 \times 5 \times {10}^{8 + ( - 11)} \\ = 4.2 \times {10}^{8 - 11} \\ = 4.2 \times {10}^{ - 3} \)
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
An 18 in long rebar is driven into the ground until it touches an underground pipe. A backsight to a benchmark with an elevation of 393.66 ft is taken with an automatic level. The backsight has a rod reading of 7.56 ft. A foresight is taken to the rod resting on top of the rebar. The rod reading is 1.01 ft. What is the elevation of the top of the pipe
Answer:
398.71 ft
Step-by-step explanation:
Length of rebar = 18 inches = 1.5 ft
Elevation = 393.66 ft
Reading of backsight on Benchmark= 7.56 ft
Rod reading = 1.10 ft
First step : determine height of Instrument been used
= elevation + backsight on Benchmark
= 393.66 + 7.56 = 401.22 ft
Elevation of top of rebar
= 401.22 - 1.01 = 400.21 ft
Finally determine the elevation of the top of the pipe
= 400.21 - length of Bar
= 400.21 - 1.5 = 398.71 ft
10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is
x and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Solve 2/v + 1/w = 1/2 for v
Answer:
v=(-4w)/(-w+2)
Two supplementary angles. One angle is 25 more than the second angle, find the measure of the second angle. The measure of the second angle is
Answer:
77.5°
Step-by-step explanation:
Let s represent the measure of the second angle. Then the first angle is s+25. These two angles are supplementary, so their sum is 180:
(s+25) +s = 180
2s = 155
s = 77.5
The measure of the second angle is 77.5°.
Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked was 3:10. Use Scratchpad to draw tape diagrams to represent this ratio. How many miles did Nash run in week 11?
Answer:
78
Step-by-step explanation:
you do 3 *26
Pythagorean theory . Thank you
Answer:
b=12, perimeter=36
Can someone help me with these 2 questions I'm struggling with
Answer: c. H=6.752d to the second power
Step-by-step explanation: trust ya girl.