For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.
Now, According to the question:
How many teaspoons is two dashes?For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.
One tablespoon or less of a soft food, like whipped cream or sour cream, is typically referred to as a "dollop."
Furthermore, a pinch is, as its name suggests, the quantity of an ingredient (such as salt or a dry herb) that you can hold between your thumb and fingers. Additionally, there is a "healthier-sized" pinch that involves your thumb, forefinger, and middle finger, known as a "three-finger pinch." It probably equals between a quarter and an eighth of a teaspoon in terms of volume.
The difference is one of distance...
100 yards = 300 feet
100 meters = 328.0839895 feet
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =11 and DC=5 what is the length of BC in the simplest radical form
Answer:
[tex]The[/tex] [tex]length[/tex] [tex]of[/tex] [tex]BC[/tex] [tex]is[/tex] [tex]\sqrt{55}[/tex] [tex](units)[/tex].
Step-by-step explanation:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 11 and DC = 5
Leg rule of geometric mean theorem:
[tex]\frac{hypotenuse}{leg}=\frac{leg}{part}[/tex]
[tex]\frac{AC}{BC}=\frac{BC}{DC}[/tex]
[tex]\frac{11}{x}=\frac{x}{5}[/tex]
Do cross multiplication.
[tex]11 * 5= x*x[/tex]
[tex]55=x^{2}[/tex]
Taking square root on both sides.
[tex]\sqrt{55} =\sqrt{x^{2} }[/tex]
[tex]\sqrt{55}=x[/tex], [tex]since[/tex] [tex]\sqrt{55}[/tex] [tex]cannot[/tex] [tex]be[/tex] [tex]reduced.[/tex]
The length of BC is [tex]\sqrt{55}[/tex].
Find the total surface area of this cylinder. Give your answer to 1 decimal place. 18 cm 24 cm
Answer:
Step-by-step explanation:
answer 10857.3
find the distance between the planes 5x−4y−z=65x−4y−z=6 and 4y−5x z=−484y−5x z=−48.
The distance between the two planes 5x−4y−z=65x−4y−z=6 and 4y−5x z=−484y−5x z=−48 is sqrt(7/10).
What is vector ?
A vector is a mathematical object that has both magnitude (or length) and direction. Vectors can be used to represent physical quantities such as velocity, force, or displacement, where the magnitude represents the size of the quantity and the direction represents its orientation in space.
Let n1 and n2 be the normal vectors of the two planes, respectively.
The normal vectors are:
n1 = <5, -4, -1> and n2 = <5, -4, 1>.
The projection of n1 onto n2 is:
projn1 onto n2 = (n1 . n2 / ||n2||^2) * n2 = (n1 . n2 / ||n2||^2) * (n2 / ||n2||) = (n1 . n2 / ||n2||) * n2 / ||n2|| = (n1 . n2) * n2 / ||n2||^2.
The dot product of n1 and n2 is:
n1 . n2 = 5 * 5 + (-4) * (-4) + (-1) * 1 = 25 + 16 + 1 = 42.
The magnitude of n2 is:
||n2|| = sqrt(5^2 + (-4)^2 + 1^2) = sqrt(30).
Therefore, the projection of n1 onto n2 is:
(n1 . n2) * n2 / ||n2||^2 = 42 * <5, -4, 1> / 30 = <7/3, -4/3, 7/30>.
So , The distance between the two planes 5x−4y−z=65x−4y−z=6 and 4y−5x z=−484y−5x z=−48 is sqrt(7/10).
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MATHS PLEASE HELP!! 100 POINTS
Answer:
in 2014=4100 in 2008=6800 last question=2020
Step-by-step explanation:
multiply (-5+i) and 2i with 2i
2i × 2i = 4i^2 ➡-4
2i × (-5+i) = -10i + 2i^2 ➡-10i -2
then do the division
(-10i -2)/-4 = (5i + 1)/2
Select the equation of the line, in standard form, that passes through (4,2) and is parallel to the line shown on the coordinate grid to the right
The equation of the line that passes through (4,2) and is parallel to the line shown is 3x + y = -10
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Two lines are said to be parallel if they have the same slope.
The line shown passes through point (0, 1) and (-1, -2). Hence:
Slope = (-2 - 1) / (-1 - 0) = 3
The line parallel will also have a slope of 3. It then passes through (4, 2). Hence:
y - y₁ = m(x - x₁)
y - 2 = 3(x - 4)
y = -3x - 10
3x + y = -10
The equation of the line is 3x + y = -10
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Triangle ABC ha perimeter 22cm
AB = 8cm
BC =5cm
By caculation deduce whether triangle ABC i a right-angled triangle
Right-angled triangle? Ye/No
Anwer
The Triangle ABC having perimeter 22cm and AB = 8cm and BC =5cm is not a right angled triangle.
A triangle to have a right angle triangle it should follow the basic theorem of Pythagoras,
If perimeter of ΔABC is 22cm
P = AB + BC + AC
22 = 8 + 5 + AC
AC = 9
By using Pythagoras theorem ,
AC² = AB² + BC²
9² = 8² + 5²
81 ≠ 89
Therefore its not a right angle triangle.
A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. The right triangle or 90-degree triangle is another name for this triangle. In trigonometry, the right triangle is significant.
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simplify 15/32 + 9/32
Answer: 3/4
Step-by-step explanation:
15/32 + 9/32 = 24/32 = 12/16 = 6/8 = 3/4
PLEASE I NEED HELP HURRY
The function f(x) and the number [tex]a[/tex] that satisfies the given equation is:[tex]$$f(x)=x^{3 / 2} \quad \text { and } \quad a=\frac{49}{4} .$$[/tex]
How to obtain the given equation?Let's differentiate both sides of the given equation with respect to [tex]x[/tex] obtain
[tex]\frac{d}{d x}\left[5+\int_a^x \frac{f(t)}{t^2} d t\right]=\frac{d}{d x}[2 \sqrt{x}] .[/tex]
The Fundamental Theorem of Calculus combines the concepts of differentiating a function (calculating the slope or rate of change at any point in time) and integrating a function (calculating the area under a graph, or calculating the cumulative effect ) is a combination of of small contributions).
Using the Fundamental Theorem of Calculus and the Power Rule, we have
[tex]\frac{d}{d x}\left[\int_a^x \frac{f(t)}{t^2} d t\right]=\frac{d}{d x}\left[2 x^{1 / 2}\right][/tex]
Applying the Chain Rule and simplifying, we get
[tex]\frac{f(x)}{x^2}=x^{-1 / 2}[/tex]
Solving for [tex]f(x) \$$, we get $\$ f(x)=x^{\wedge}(3 / 2\}[/tex].
To find a, we can use the given equation with x=1 and simplify:
[tex]$$5+\int_a^1 \frac{f(t)}{t^2} d t=2 \sqrt{1} \Rightarrow \int_a^1 \frac{f(t)}{t^2} d t=-3 .$$[/tex]
Substituting [tex]$ f(x)=\mathrm{x}^{\wedge}[3 / 2\}[/tex], we have
[tex]$$\int_a^1 \frac{f(t)}{t^2} d t=\int_a^1 \frac{t^{3 / 2}}{t^2} d t=\int_a^1 t^{-1 / 2} d t=2(\sqrt{1}-\sqrt{a})=-3$$[/tex]
Solving for a, we obtain [tex]a=\backslash f r a c\{49\}\{4\}[/tex]. Therefore, the function f(x) and the number [tex]a[/tex] that satisfy the given equation are
[tex]$$f(x)=x^{3 / 2} \quad \text { and } \quad a=\frac{49}{4} .$$[/tex]
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The standard deviation of a simple random sample of 15 customer waiting times is found to be 4.8 minutes. Find the test statistic to test the claim that the standard deviation of all customer waiting times is greater than 3.5 minutes. Use a 0.01 significance level.
The test statistic to test the claim that the standard deviation of all customer waiting times is greater than 3.5 minutes, 7.444
What is Standard deviation ?Standard deviation is a measure of the spread or dispersion of a set of data. It quantifies how much the individual data points in a set deviate from the mean (average) value of the set. In other words, it tells you how much the data is scattered around the mean.
The test statistic to test the claim that the standard deviation of all customer waiting times is greater than 3.5 minutes can be calculated using the following formula:
Z = (s / σ) x √n
where s is the sample standard deviation (4.8 minutes), σ is the population standard deviation (3.5 minutes), and n is the sample size (15).
Z = (4.8 / 3.5) x √15
= 7.444
So the test statistic is 7.444.
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A graphed function may display different properties and characteristics over certain intervals of the graph in A and B below, describe the part of the function over the specified intervals, as “linear”or “nonlinear”and “increasing”or “decreasing”.
Help Needed,Thank you for whoever can help me out
The part of the function over the interval (-2,2) is nonlinear and decreasing.
Linear and nonlinearInterval: (-2, 2):The part of the function over the interval (-2,2) is nonlinear and decreasing.Over this interval, the graph starts at a peak of (0,2), before steadily decreasing and then sharply decreasing to a low point of (2,-2).This sharp decrease in the graph indicates that the function is nonlinear, as the rate of change is not constant.Additionally, the graph decreases over this interval, indicating that the function is decreasing. Interval: (2, 4):The part of the function over the interval (2, 4) is linear and increasing.Over this interval, the graph steadily increases; starting at the low point of (2,-2) and increasing to a peak of (4,2).This linear increase in the graph indicates that the function is linear, as the rate of change is constant.Additionally, the graph increases over this interval, indicating that the function is increasing.To learn more about Linear and nonlinear refer to:
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The escape velocity from a planet of mass M and radius R is v(R) = square root over 2GM/R (square root over the whole thing) where G is the universal gravitational constant. Find the inverse of v(R) as a function of v.
Inverse of v(R) = R/(2Gv^2) where G is the universal gravitational constant and v is the escape velocity.
The equation for the escape velocity from a planet of mass M and radius R is v(R) = √(2GM/R). To find the inverse of v(R), we can start by rearranging the equation to solve for R. We can do this by multiplying both sides of the equation by R, giving us 2GM = Rv(R)^2. Then, we can divide both sides of the equation by 2G, leaving us with R = v(R)^2/2G. Now, we can substitute v for v(R). This gives us R = v^2/2G. To find the inverse of v(R), we can take the reciprocal of both sides, giving us the inverse of v(R) as R/(2Gv^2).
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GEOMETRY!!!!!!
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 18 degrees and angle BDC has a measure of 48 degrees. Find the measure of Angle ABD.
What is the measure of angle ABD?
_______
Answer:
138°
Step-by-step explanation:
∠BCD and ∠CDB are equivalent, meaning they both are 48°. Together, that is 96°. Subtract 96° from 180° (the measure of all of the inside angles in a triangle added together.) and you get 84°. Subtract 84° from 360° (the number of degrees in a circle) and you get 276°. Divide that by two (∠ABD and ∠ABC) to get 138°.
is area = ∫ β α f ( x ) d x as positive, negative or zero? note two vertical lines indicate α and β . select a for positive area, b for negative area and c for zero area.
Depending on the value of the definite integral of f(x) calculated between two limits, α and β, the area between two vertical lines can be positive, negative or zero.
The area between two vertical lines is given by the definite integral of a function f(x) calculated between two limits, α and β. In order to determine whether the area is positive, negative or zero, the values of the definite integral of f(x) calculated between two limits, α and β, must be known.
If the value of the definite integral of f(x) calculated between two limits, α and β, is greater than zero, then the area between the two vertical lines is positive. Mathematically, this can be expressed as:
Area = ∫βαf(x)dx > 0
Similarly, if the value of the definite integral of f(x) calculated between two limits, α and β, is less than zero, then the area between the two vertical lines is negative. Mathematically, this can be expressed as:
Area = ∫βαf(x)dx < 0
Lastly, if the value of the definite integral of f(x) calculated between two limits, α and β, is equal to zero, then the area between the two vertical lines is zero. Mathematically, this can be expressed as:
Area = ∫βαf(x)dx = 0
Therefore, depending on the value of the definite integral of f(x) calculated between two limits, α and β, the area between two vertical lines can be positive, negative or zero.
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List all of the possible rational zeros for each function
f(x)=x^3+6x+2
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
Attached is an image of the function graphed. From the image, you can see that the only zero, or x-intercept, is at about -0.327, or [tex]\sqrt[3]{2}[/tex] to be exact.
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Adult tickets cost $17.95 and children’s tickets cost $12.95. Disney made $7355 from ticket sales from a total of 500 people. How many adults and children bought tickets?
Answer:
To figure out how many adults and children bought tickets, we can set up a system of equations using the information provided. Let x be the number of adults and y be the number of children. We know that:
x + y = 500 (because a total of 500 people bought tickets)
17.95x + 12.95y = 7355 (because the total revenue from ticket sales is $7355)
We can use the first equation to solve for one of the variables in terms of the other variable. For example, we can substitute y = 500 - x into the second equation:
17.95x + 12.95(500 - x) = 7355
This simplifies to:
17.95x + 6475 - 12.95x = 7355
5x = 1880
x = 376
so there are 376 adults bought tickets and 500-376=124 children bought tickets.
Step-by-step explanation:
A painter can paint 3 small rooms in the same time it takes him to finish 1 large room and 1 small room. It takes him 7 hours to finish a large room. Find the number of hours it takes the painter to finish a small room.
Answer:
It's 3.5 hours. Or 3 hours and 30 minutes.
Step-by-step explanation:
If the painting of 3 small rooms takes as much time as the painting of 1 large and 1 small rooms then it takes the same amout of time to paint 1 large room and 2 small rooms.
7 hours = 1 large room
1 large room = 2 small rooms
1 small room is half the time of a large room
1/2 of 7 = 3.5
3.5 hours is 3 hours 30 minutes.
Can someone help with this problem? (Will give brainliest! )
Ann’s gym charges $20 per month plus $5 per visit. Blake’s gym charges $30 per month plus $3 per visit.
Write an equation for how much Ann's gym charges for `x` visits in one month.
y=____
Write an equation for how much Blake's gym charges for `x` visits in one month.
y=___
What is the solution to this system of equations?
( , )
Answer:
I think its this, anns gym membership: y=$5x+$20
blakes gym membership: y= $3x+$30
i don’t understand the last question, I apologize if this is wrong.
HELP ME LIKE THIS IS SO HARD
We can see here that the division expression that is shown in the model is: A. 3 ÷ 2/5
What is division?Division is a mathematical operation that involves splitting a number into equal parts. It is the inverse of multiplication, and can be represented as the division symbol "/" or "÷". The result of division is called a quotient.
Division in mathematics is an arithmetic operation that separates a quantity into equal parts or groups. Division can also be expressed as a fraction or ratio, where the numerator represents the dividend and the denominator represents the divisor.
We see here that:
3 ÷ 2/5 = 3/1 x 5/2 = 15/2
∴ 15/2 = 7.5.
We can see here that the shaped boxes in the diagram are 7 that were fully shaded. The last box was shaped half. This actually shows it is 7.5.
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Drag and drop the correct values
The inequality graph is interpreted to have the equation as;
y > ⁻³/₄x - 3
What is the graph of the Inequality?The general form of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
From the given graph, the y-intercept is seen to be -3.
The slope is gotten by using two coordinates from the formula;
m = (y₂ - y₁)/(x₂ - x₁)
(0, -3) and (-4,0)
m = (0 - (-3))/(-4 - 0)
m = -3/4
Thus, equation of line is;
y = ⁻³/₄x - 3
Since the upper part of the inequality is shaded and the line is a dashed line, then the symbol is greater than and it is expressed as;
y > ⁻³/₄x - 3
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y = (x - 2)^2 - 7
Solve for x
graph the system below and write its solution.
y=1/4x-3
-x+4y=-4
Note that you can also answer "No solution" or "Infinitely many" solutions.
We can substitute the first equation into the second to eliminate [tex]y[/tex] and solve for [tex]x[/tex]
[tex]$$\begin{gathered}-x+4\left(\frac{1}{4} x-3\right)=-4 \\\Rightarrow \\-x+x-12=-4 \\\Rightarrow \\-12=-4 \\\Rightarrow \\x=3\end{gathered}$$[/tex]
Define "Infinitely many" solutions?An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If you simplify the equation using an infinite solutions formula or method, you'll get both sides equal, hence, it is an infinite solution. Infinite represents limitless or unboundedness. It is usually represented by the symbol ” ∞ “.
Some equations have infinitely many solutions. In these equations, any value for the variable makes the equation true. You can tell that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.
This system of linear equations can be graphed on a [tex]$x-y$[/tex] plane. The first equation represents a line with slope [tex]\frac{1}{4}[/tex] and [tex]$y$[/tex]-intercept [tex]-3[/tex]. The second equation represents another line with slope [tex]-1[/tex] and [tex]$y$[/tex]-intercept [tex]-4[/tex]. The intersection point of the two lines is the solution to the system of linear equations.
To find the solution, we can substitute the first equation into the second to eliminate [tex]y[/tex] and solve for [tex]x[/tex]
[tex]$$\begin{gathered}-x+4\left(\frac{1}{4} x-3\right)=-4 \\\Rightarrow \\-x+x-12=-4 \\\Rightarrow \\-12=-4 \\\Rightarrow \\x=3\end{gathered}$$[/tex]
We can then use either equation to find the value of [tex]y[/tex]
[tex]$$\begin{gathered}y=\frac{1}{4} x-3 \\\Rightarrow \\y=\frac{1}{4} \cdot 3-3 \\= \\y=-2\end{gathered}$$[/tex]
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refer to the market for good x. p0=$15, pa=$21, p*=$31, pb=$44, p1=$57, q0=10, q*=30, q1=50, and q2=70. what is the quantity demanded when the price is $44?
At a price of $44, the quantity demanded is equal to q*, which is 30 units.
The market for good X is given with a price of $15 at q0 (10 units), a price of $21 at pa, a price of $31 at p* (30 units), a price of $44 at pb, a price of $57 at p1 (50 units), and a price of $70 at q2 (70 units). To calculate the quantity demanded when the price is $44, we first need to identify the price points on either side of $44. In this case, $31 and $57 are the two price points. We then look at the corresponding quantities at those two points, which are q* (30 units) and q1 (50 units). Since the demand curve is downward sloping, the quantity demanded at $44 (pb) will be between 30 and 50 units. Since 30 is the lower number, the quantity demanded at $44 will be q*, or 30 units.
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If one of the animals below is picked at random, what is the probability that
it is not a flying mammal? Give your answer as a fraction in its simplest
form.
Mammal
Giraffe
Seal
Mouse
Cat
Tiger
Bat
Can fly
Swan
Lizard
Tortoise
Answer:
6/11
Step-by-step explanation:
Mammal - yes
Giraffe - no
Seal - no
Mouse - no
Cat - no
Tiger - no
Bat - yes
Can fly - yes
Swan - yes
Lizard - no
BANQUET A charity is hosting a benefit dinner. They are asking $100 per table plus $40 per person. Nathaniel is purchasing tickets for his friends and does not want to spend more than $250.
Answer:
he would only be able to bring 2 friends
Step-by-step explanation:
250- 100= 150 cost of table
150/ 40=3.75 cost of friends
He was would not be able to bring a .75 of a friend so you would have to round down.
rearange so x is independent variable 4x - 6 = -5y + 9
Answer:
4x-6=-5y+9
4×=-5y+9+6
Suppose there is a 1.2 F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 55.4 F , what will be the temperature when the plane reaches an altitude of 3000ft?
The temperature when the plane reaches an altitude of 3000ft is 51.8 F
What is a temperature simple definition?Temperature is the degree of hotness or coldness of an object.
Given here: the temperature drops every 1.2 F for every thousand feet ascend.
Thus if the temperature on the ground is 55.4 F
When the plane ascends to 3000 feet the number of temperature drops would be 3 .
Thus drop in temperature is 1.2×3=3.6 F
Therefore the temperature at an altitude at an altitude of 3000 ft. is
55.4-3.6=51.8 F
Hence, The temperature when the plane reaches an altitude of 3000ft is 51.8 F
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The mean score of the students who took a mathematics test was 6. Exactly 60% of the students passed the test. The mean score of the students who passed the test was 8. What was the mean score of the students who failed the test?
mean score of the students who failed the test is 4
Let's assume there were X students who took the test.
Here given that:
The mean score of the students who took a mathematics test was 6.
60% of the students passed the test.
The sum of all their scores was 6× X
X×0.6 of them had a mean score of 8
The sum of the scores of the students who passed the test is 8 ×X×0.6.
The sum of the scores of the students who failed was the total sum minus the sum of the scores of the students who passed, which is
6 × X - 8 × X ×0.6
students who failed the test is, divide by the sum of their scores by the number of students who failed, which is
X - X ×0.6.
The mean score of the students who failed is
(6 ×X - 8 × N ×0.6) / (X - X×0.6)
= (6 × X - 8× X × 0.6) / (X * 0.4)
= 4.
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Thanks if you can solve this
Answer: It will take 63 minutes for the group to make a wood pile of 45 sticks
Step-by-step explanation:
i hope this helps if so pls mark brainliest !!
or gabriel's cafe has regular coffee and decaffeinated coffee. this morning, the cafe served 80 coffees in all, 90% of which were regular. how many regular coffees did the cafe serve?
The cafe served 72 regular coffees.
Coffee Served - CountHere are the steps to find the number of regular coffees served:
Calculate the total number of regular coffees as a percentage of the 80 coffees served in total: 80 x 90% = 72The answer is 72 regular coffees.The method used for this problem is simple arithmetic calculation, specifically percent calculation.
Percent calculation is used to find the proportion of a number in terms of a percent. To perform a percent calculation, you multiply the original number by the percent (expressed as a decimal) and then round the result to the desired number of decimal places. In this case, the original number is 80 and the percent is 90, which we first convert to 0.90 (by dividing by 100).
You could determine that this method was used because the problem statement asked for the proportion of regular coffee in terms of percent (90%) of the total number of coffees served (80). To find this proportion, you needed to multiply 80 by 0.9, which is equivalent to 80 * 90%.
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Which number line shows the solution to this compound inequality?
3x - 5 > 1 or -2x ≤ -10
The intersection of the graphs of the inequalities is shown by a compound inequality with a "and" in it.
What is meant by compound inequality?When two inequalities are separated by "and" or "or," the result is a compound inequality. The intersection of the graphs of the inequalities is shown by a compound inequality with a "and" in it. A number is a compound inequality solution if it also solves the underlying inequality.
Divide a compound inequality into two individual inequalities before solving it. The solution should either be a union of sets ("or") or an intersection of sets ("and"). Inequalities and the graph should then be solved.
Compound inequality comes in two flavors. Both conjunction and disjunction issues are present. Sometimes, the two simple inequalities in these compound inequalities will be separated by the words AND or OR. When resolving compound "and/or" inequalities, start by resolving each inequality separately.
Therefore, the correct answer is option D.
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