Answer:
C.
Step-by-step explanation:
Can't be a or b slope is too small so its between c and d C. has the more accurate slope
Determine the equivalent system for the given system of equations.
4x − 5y = 2
10x − 21y = 10
A. 4x − 5y = 2
3x − y = 4
B. 4x − 5y = 2
24x − 47y = 22
C. 4x − 5y = 2
10x + 3y = 15
D. 4x − 5y = 2
14x + 26y = 12
Answer:
B) 4x − 5y = 2
24x − 47y = 22
Fruit worms are discovered in a pear orchard. The Department of Agriculture has determined that the population of fruit worms t hours after the orchard has been sprayed is approximated by N(t)1800 3t In( 0.16t) 2t, where O t s 100. Lo,100 o,loo Step 1. Find N(27). Round to the nearest whole number. NC27) 1,735 Step 2. What is the maximum number of fruit worms in the pear orchard? Round to the nearest whole number
Value of N(27) is 1735
1813 fruit worms are the most that can be found in the pear orchard.
Similar to how geometry is the study of shape and algebra is the study of generalisations of arithmetic operations, calculus, also known as infinitesimal calculus or "the calculus of infinitesimals," is the study of continuous change in mathematics.
It’s given that:
N(t) = 1800 - 3t in (0.16t) + 2t
1) N(27) = 1800 - [3 * 27 in (0.16 x 27)] + [2 x 27]
N(27) = 1800 - [54 in (4.32)] + 54
N(27) = 1735
2) To obtain the values of "t," we will locate N(t) and set it equal to zero for maximum.
N (t) = -3 [in (0.16t) + ( 0.16t / 0.16t] + 2
N(t) = 0
2/3 = in (0.16t) + 1
1/3 = in (0.16t)
t = 0.7165 / 0.16 = 4.478
Therefore, N(t)max = 1800 - [3 * 4.478 in (0.16 * 4.478)] + (2 * 4.478)
N(t) = 1800 - [13.434 In (0.71648)] + 8.956
N(t)max = 1813
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What is the point-slope form of a line with slope 6 that contains the point
(1,2)?
A. y + 2 = 6(x - 1)
B. y+ 2 = 6(x+1)
C. y-2 = 6(x-1)
O D. x+ 1 = 6(y+2)
Answer:
The answer is option CStep-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1)\)
where
m is the slope
( x1 , y1) is the point
From the question the point is (1,2) and the slope is 6
The equation of the line in point slope form is
\(y - 2 = 6( x - 1)\)Hope this helps you
Find -x + 10 less than 0
Consider the following data representing the price of laptop computers (in dollars). 12041204, 12061206, 13451345, 13061306, 12071207, 10781078, 13571357, 12321232, 12281228, 13021302, 11891189, 11771177, 10831083, 10941094, 13261326, 10711071, 14271427, 13481348, 14201420, 12531253, 1270 Determine the frequency of the fifth class.
Answer:
Step-by-step explanation:
The given data is expressed as
1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270
The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5
The number of class intervals is
√n = √21 = 4.5
Approximately 5
The width of each class interval is
(1427.5 - 1070.5)/5 = 72
The end of each class interval would be
1070.5 + 72 = 1142.5
1142.5 + 72 = 1214.5
1214.5 + 72 = 1286.5
1286.5 + 72 = 1358.5
1358.5 + 72 = 1430.5
The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
find the equation of a parabola with a focus of (0, -4) and a directrix y=4
Consider a point (x,y) on the parabola.
Determine the distance between focus (0,-4) and point (x,y) by using the distance formula.
\(\begin{gathered} d=\sqrt[]{(x-0)^2+(y-(-4))^2} \\ =\sqrt[]{x^2+(y+4)^2} \end{gathered}\)Determine the distance between directrix y=4 and point (x,y).
\(d=|y-4|\)For the parabola distance between focus and point is equal to distance between directrix and point.
\(\begin{gathered} \sqrt[]{x^2+(y+4)^2}=|y-4| \\ x^2+(y+4)^2=|y-4|^2 \\ x^2+y^2+8y+16=y^2-8y+16 \\ -16y=x^2 \\ y=-\frac{x^2}{16} \end{gathered}\)What is one solution to 2x^2−3x−5=0?
The one solution to 2x² -3x-5=0 is 2.5
What is equation?It is a mathematical sentence that states that two expressions are equal in value. The expressions are separated by an equal sign (=) and are typically composed of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
For example, the equation 2x + 3 = 7 is a statement that the expression 2x + 3 is equal to the expression 7. In this equation, x is a variable, and its value can be found by solving the equation.
An equation can also be represented graphically by a straight line in a coordinate plane. The equation y = 2x + 3, for example, represents a line with a slope of 2 and a y-intercept of 3.
Equations are widely used in many fields such as mathematics, physics, chemistry and other sciences, engineering and economics, to model real-world situations, and to make predictions and analysis.
The solution is x = \(\frac{3+-\sqrt{3^{2}-4(2)(-5) } }{4}\)
This simplifies to x = \(\frac{(3+-\sqrt{9+40} }{4}\)
x = \(\frac{3+-\sqrt{49} }{4}\)
x = \(\frac{3+-7}{4}\)
So one solution is x = \(\frac{3+7}{4}= \frac{10}{4}= 2.5\)
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Determine whether the variable is qualitative or quantitative. Model of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because it is an attribute characteristic. B. The variable is qualitative because it is an attribute characteristic. C. The variable is qualitative because it is a numerical measure.
D. The variable is quantitative because it is a numerical measure.
A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.
The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.
Therefore, option B is the correct answer.
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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
What is a qualitative variable?A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.
The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.
Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
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Use the graph of g to find g(x) = 3.
pls help solve quick!
By using the graph of g, the solution to g(3) is equal to 8.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;
g(3) = 8.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
a gallup poll utilizing a random sample of adults ages or older was conducted in april . the survey indicated a majority of americans () say driverless cars will be common in the next years (gallup,
A Gallup poll conducted in April found that 55% of Americans believe driverless cars will be common in the next 10 years, as presented in a histogram showing the percentage of responses in different time intervals.
A Gallup Poll was conducted in April that surveyed adults aged 18 or older to gauge their perceptions on when fully automated "driverless cars" will be commonly used in the United States.
The question asked was "how soon do you think driverless cars will be commonly used in the United States?" The survey indicated that 55% of Americans believe that driverless cars will be common in the next 10 years.
The results of the survey were presented in a histogram, showing the percentage of responses in different time intervals, which means it shows how many people responded within a certain time frame (e.g. within 5 years, within 10 years, etc.) when they think driverless cars will be commonly used.
This poll gives an insight into how people perceive the future of driverless cars and how soon they think it will become a common sight on the roads.
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The question is -
A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.
The temperature was -20 degrees in Alaska and 85 degrees in Hawaii. What is the difference
between the two temperatures?
(HELP)
Answer:
The difference in temperature is 105 degrees.
Step-by-step explanation:
The difference in temperature is 105 degrees because it's -20 in Alaska and 85 in Hawaii. When calculating the difference in temperature, negative numbers are still added to the sum total. so 85 + 20 = 105.
can sum1 help i got no teachers near
Answer:
Option C : x-6
Step-by-step explanation:
since tina’s brother height is X we start there
x
And tine is 6 less than her bother so we subtract 6
x-6
and that’s it
Hopes this helps please mark brainliest
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
The standard deviation for a set of data is 9.5. The mean is 205.
What is the margin of error?
If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
Margin of errorUsing this formula
Margin of error=Standard deviation×Mean
Let plug in the formula
Margin of error=205 × 9.5%
Margin of error = 19.475
Margin of error = 19.5 (Approximately)
Therefore If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
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Ezra applied the distributive property to the expression 8(y+2) . He then used the commutative property.
correctly complete the statement
After applying the distributive property, Ezra's expression was ________
After he used the commutative property, his expression was __________
answers: 2+8y, 8y+2, 8y+16, 16+8y, 8y + 1 x 2, 8y + 1 x 16
Answer:
After applying the distributive property, Ezra's expression was 8y + 16
After he used the commutative property, his expression was 16 + 8y
Step-by-step explanation:
Distributive property rule: a(x+y) = ax + ay
Not much to explain here
Commutative property rule: a + b = b + a or xy = yx
We use addition rule in this case, simply place 16 in front of 8y
WHAT IS THE NTH TERM FOR 6 10 14 18 22 26 30
First term, a = 6
Common difference, d = 4
Using the formula :
an = a + (n - 1) d
an = 6 + (n - 1) 4
an = 6 + 4n - 4
an = 2 + 4n
nth term = 2+4n
Identify 2 congruent angles
Look at picture for reference
In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.
Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.
However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.
Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.
Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:
∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees
Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:
∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees
Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.
Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.
In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
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Michael spent $18 at a local farmers’ market. The apples he bought cost $2 per pound, and the peppers cost $3 per pound. How many pounds of apples and peppers did he buy?
This equation represents the scenario:
2a + 3p = 18
Choose the equations that are equivalent.
Check all that apply.
p = two-thirds a + 6
p = negative two-thirds a + 6
a = negative 1 and one-half p + 9
a = 1 and one-half p + 9
a = StartFraction negative 3 p + 18 Over 2 EndFraction
Answer:
p=-2/3a + 6
a=-1 1/2p + 9
a= -3p+18/2
Answer:
B C and E
Step-by-step explanation:
got it right on edge after clicking A instead of B
Find the area of the
trapezoid at the right
by decomposing it
into familiar shapes.
18 ft
8 ft
6 ft
The area of the trapezium will be 168 ft².
What is a trapezium, exactly?
Trapezoids have two parallel sides and two oblique sides. Another term for it is a trapezium. A trapezoid is a four-sided closed form with a space-filling perimeter. It is a 2D figurine, not a 3D figure. The bases of a trapezoid are parallel to one another. Legs are non-parallel sides, sometimes referred to as lateral sides and height is the distance between the parallel sides.
The area of a trapezium is equal to 1/2*(a+b)*h.
where h is the distance or height between two parallel lines
Lines a and b are parallel.
Now,
As we can decompose given trapezium into a rectangle with length=18 ft and breadth=8 ft and a triangle with base=6 ft and height=8 ft.
Then area of trapezoid=area of rectangle + area of triangle
=l*b+1/2*b*h
=18*8+1/2*6*8
=144+24
=168 ft²
Hence,
The area of the trapezium will be 168 ft².
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Please answer this correctly
Answer:
68 feet, by 32 feet.
Step-by-step explanation:
Area of left rectangle: 2176
Area of right rectangle: 2176
Let l equal length, and w equal width
lw=2176
2l+2w=200
w=2176/l
2l+2(2176/l)=200
2l+4352/l=200
2l^2+4352=200l
2l^2-200l+4352=0
Solutions to the quadratic: 32 and 68.
Length is longer than width, so length is 68, width is 32.
Need help with this math problem please!!
Answer:
The answer is B I think !?
Step-by-step explanation:
7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy
Can someone help me with some of these problems? ;-; i will mark brainliest!!
Gary is forming capture the flag teams out of all of the students that signed up from two classes. Each team must have the same number of players and be from the same class.
What is the largest number of players that Gary can put on each team
Answer:I don’t know
Step-by-step explanation:
Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
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The equation that represent the given situation is y = 15x + 70
When she plants 3 stalks, each plant yields 115 ounces of beans
The first point = (3, 115)
When she plants 8 stalks, each plant yields 190 ounces of beans
The second point = (8, 190)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line m = (190-115) / (8-3)
= 75/5
= 15
The point slope form is
\(y-y_1=m(x-x_1)\)
Choose one point and substitute the values in the equation
y - 115 = 15(x - 3)
y - 115 = 15x - 45
y = 15x - 45 + 115
y = 15x + 70
Hence, the equation that represent the given situation is y = 15x + 70
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If you have a math equation with an addition symbol in the middle (such as -8 + 4), what are the rules for determining whether to add or subtract?
Answer:
-8+4=-4
Step-by-step explanation:
Rearrabge the equation to bcm 4-8
This will make it simpler to give us the answer as -4
what is the value of the expression below?
5/9 / 1 2/3 x 3 3/5
A: -1 1/5
B: 1 1/5
C:-1/3
D: -3 1/3
No links
Answer:
B) 6/5 or 1 1/5
Step-by-step explanation:
5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5
If 5x – 3y = 7 and –3x – 5y = 23, what is the value of x?
Answer:
X= -1
Y= -4
That's the answer I believe
5x - 3y = 7
First, Add 3y to both sides
5x - 3y + 3y = 7 + 3y
5x = 3y + 7
Then, Divide both sides by 5
\(\frac{5x}{5}\) = \(\frac{3y + 7}{5}\)
\(x = \frac{3}{5} y\) + \(\frac{7}{5}\) (Answer to #1)
-3x - 3x - 5 = 23
First, we will simplify both sides of the equation
-3x + -3x + -5 = 23
Next, We will combine like terms
(-3x + -3x) + (-5) = 23
-6x + -5 = 23
-6x - 5 =23
Then, we will Add 5 to both sides
\(\frac{-6x}{-6}\) = \(\frac{28}{-6}\)
x = \(\frac{-14}{3}\) (Answer to #2)
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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