Answer:
Step-by-step explanation:
the difference is 3
1 1/2 is equal to 6/2 so the difference would be 3
Answer:5/4
Step-by-step explanation:
I assumed both are mixed numbers
Find the measure of HDK.
к
H
D
90°
Answer:
90 Degrees
Step-by-step explanation:
I forget what its called but it has to do with being diagonal from eachother or something like that, but I know for a fact its correct.
Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.
The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.
To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.
Now, integrating the inner integral with respect to x, we get:
∫ (x² + y²)dx = (1/3)x³ + y²x + C1,
where C1 is the constant of integration.
Next, we integrate the resulting expression with respect to y:
∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,
where C2 is another constant of integration.
Finally, we evaluate this double integral over the given region by substituting the limits of integration:
∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.
Performing the integration, we can find the numerical value of the double integral within the given region.
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Tomorrow than 4 times a number is -18
Answer: -5
Step-by-step explanation:
im going to assume tomorrow means Two more.....
\(2+4x=-18\)
brilliant.
lets do opposite calculations to both sides. what is the opposite of 2? negative 2. so lets subtract 2 from both sides.
we get
\(4x=-20\)
ok so now we have 4 times x. what is the opposite of this? 4 DIVIDED BY x.
ok now lets do the same to the other side. what is negative 20 divided by 4?
\(x=-5\)
calculate a length of a square ground of perimeter 160m
find the values of x when y = 1 y=x^2 -2x-3
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what is ""27.430"" in expanded form
The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.
What is an expanded form?A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.
Given that the number is 27.430. The expanded form of the number is written as:-
Expanded form:-
27.430 = 20 + 7 + 0.400 + 0.30.
When we add all the values of the expanded form we will get the previous value.
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choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half. (1 point)
The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.
The equation of a line is represented as,
y = mx + c equation1
x and y are the coordinates of the point from where the line is passing and m is the slope of the line.
As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).
The slope of the line through the point (-1,6) can also be written as (y - 6)/(x - (-1)) = (y-6)/(x+1).
i.e., m = (y-6)/(x+1)
On equating both the values of m, we will get
(y-6)/(x+1) = 1/2
On simplifying, we get
2y - 12 = x +1
or 2y - x = 13
The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.
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if √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.
Answer:
let,
√x-5=ky
x=30 when y=2
√30-5=2k
or, k=(√30-5)/2
now, when y=8
√x-5=8×(√30-5)/2
or, √x-5=4√30-20
or, √x=4√30-15
or, x=(4√30-15)²
or, x=47.73..
Bridget and Caroline win some money and share it in the ratio 5:3. Bridget gets £65. How
much did they win in total?
Answer:
£104
Step-by-step explanation:
5:3 = 65:X
65÷5=13
X=13×3
x=39
total=65+39
total=104
This goes out to the last post I made
Answer:
I-
Step-by-step explanation:
Well, those are certainly... interesting names?
Answer:
lovely
Step-by-step explanation:
Merry Christmas!
A man walks directly from paint A towards the foot of a tall building 240m away. After covering 180m, he observes that the angle of the top of the building is 45. (3 marks) Determine the angie of elevation of the top of the building from A.
Using trigonometry, the angle of elevation of the top of the building from A is 36.87 degrees
What is the angle of elevation of the top of the building from A?The angle of elevation of the building from A, we can apply the concept of trigonometry;
tan(θ) = opposite/adjacent
tan(θ) = height/180m
Since we're given that the angle of the top of the building is 45 degrees when the man is 180m away from point A, we can set up the equation:
tan(45°) = height/180m
The tangent of 45 degrees is 1, so the equation becomes:
1 = height/180m
Solving for the height:
height = 180m
Using the tangent of the angle;
tan(θ) = height/distance
tan(θ) = 180m/240m
Simplifying:
tan(θ) = 0.75
θ = tan⁻¹(0.75)
θ = 36.87 degrees
Therefore, the angle of elevation of the top of the building from point A is approximately 36.87 degrees.
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Rewrite the ratio so that the units in the numerator and the denominator are the same. Use values in tes of the smaller measurement unit. Then write the ratio in fraction notation, expressing the fraction in simplest fo 84 inches to 13 feet (12 inches )=(1 foot )
Answer:
7 : 13
Step-by-step explanation:
The smallest measurement unit is inches. So, we need to convert feet to inches. To convert 13 feet to inches, multiply 13 by 12
1 foot = 12 inches
13 feet = 13 *12
= 156 inches
\(\sf \dfrac{84 \ inches}{13 \ feet}=\dfrac{84 \ inches}{156 \ inches}\)
\(\sf = \dfrac{12*7}{12*13}\\\\=\dfrac{7}{13}\)
If the area of rectangle is x^2+5x+6, what expressions represent the length and width of the rectangle?
Answer:
length = x + 3
width = x + 2
Step-by-step explanation:
Hope it helps:)
85 percent of 2500cm
Answer:
2125
Step-by-step explanation:
of means multiply
85% * 2500
Change to decimal form
.85* 2500
2125
n/4+1=5 nnnnnnnnfegorogrohtohteohteoeoioeitleigeoeohohrhoagororohroooh
In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
Please help with number 1.
X y=f(x)
0 2
0.5 2.5
1 3
1.5 3.5
2 3.5
2.5 3.5
3 3
3.5 2.5
4 2
The rate of change of y at
x=1 is 2,
at x=2 is 0, and
at x=3 is -2.
How do we calculate?The rate of change of y at each value of x, we can use the formula:
dy/dx = (y2 - y1) / (x2 - x1)
where y2 and y1 are the y-coordinates of two points on the graph, and x2 and x1 are their corresponding x-coordinates.
Applying this formula, we have:
a. x = 1
dy/dx = (3 - 2) / (1 - 0.5) = 2
b. x = 2
dy/dx = (3.5 - 3.5) / (2.5 - 2) = 0
c. x = 3
dy/dx = (3 - 3.5) / (3 - 2.5) = -2
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need help please its a missing assignment and i need to turn it in at midnight
C=pi*d
Where pi is 3.14 and d is the diameter, in this case is 14ft. Find the circumference
\(\begin{gathered} C=\pi\cdot d \\ C=3.14\cdot14ft \\ C=43.96ft \end{gathered}\)The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section. Suppose the strength of an oak beam is 69 , when the beam is 7 inches wide and 3 inches deep. Determine the strength, S, of the largest rectangular beam that can be cut from a 28 -inch-diameter oak tree, given that the beam must be 14 inches wide. Remember y is proportional to x if there is a constant k such that y=kx. The constant k is known as the constant of proportionality. a) S=9016 b) S=2231 c) S=8232 d) S=392
The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.
Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.
For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.
The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.
Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.
Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.
This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.
Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.
The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.
Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.
Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the answer is (b) S = 2231.
The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.
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The guidelines for whether or not to include an additional variable include all of the following, with the exception of:
A) providing "full disclosure" representative tabulations of the results.
B) testing whether additional questionable variables have nonzero coefficients.
C) determining whether it can be measured in the population of interest.
D) being specific about the coefficient or coefficients of interest
D) being specific about the coefficient or coefficients of interest.
What is a Variable?
A variable is a quantity that can change in the context of a mathematical problem or experiment. We usually use one letter to represent a variable. The letters x, y, and z are common general symbols used for variables.
The guideline for whether or not to include an additional variable includes all of the following, except:
A) providing "full disclosure" representative tabulations of the results.
B) testing whether additional questionable variables have nonzero coefficients.
C) determining whether it can be measured in the population of interest.
D) being specific about the coefficient or coefficients of interest.
So, the answer is: D) being specific about the coefficient or coefficients of interest.
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convert 8 875 metres to kilometres
Answer:
8.875 km
Step-by-step explanation:
1km = 1000 metres
so 8875 metres = 8875/1000 = 8.875 X 1km = 8.875km
Answer: 8,875 metres= 8.875 kilometres
Find the measure of
=======================================================
Explanation:
The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.
Those angles add to the other angles to form a full 360 degree circle.
Let x be the measure of angle SPT and angle TPU.
86 + 154 + 60 + x + x = 360
300 + 2x = 360
2x = 360-300
2x = 60
x = 60/2
x = 30
Each red angle is 30 degrees.
Then,
angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)
angle SPQ = (30) + (30) + (86)
angle SPQ = 146 degrees
--------------
Another approach:
Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:
360 - 214 = 146 degrees
Algebra, help please ASAP
(-3x +4)(2x -1) Aka question A
The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4.8 degrees. Remember, a 4.8 degree angle in a right Americans with Disabilities Act requirements
The angle of elevation will this ramp have 5.74 degree.
What is Angle of Elevation?The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
The angle of elevation is the angle made by the line of sight and the horizontal when the object is above the level of the horizontal.
Given:
\(\theta_{max\) = 4.8 degree
Perpendicular = 2.5 feet
Using Trigonometry
sin \(\theta_{max\) = P/ H
sin 4.8 = 2.5/ H
0.084 = 2.5/ H
H= 2.5/ 0.048
H = 29.76.
Hence, 25 feet is not enough for the length of ramp .
Then, the Angle elevation should be
\(\theta\) = \(sin ^{-1}\)(2.5/25)
\(\theta\) = 5.74 degree
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The complete is shown below:
A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.
Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
-1/4x=5/2 solve the equation for the value of the variable show all work please and thanks:)
Answer:
x=-10
Step-by-step explanation:
Multiply both sides by -4:
x=-10
One thing that many students think about when they register for classes at a university is how many textbooks they are going to have to buy for the class and how much the books are going to cost. To add to this, a lot of the students wonder if they are even going to use the books that they are required to buy. In fact, some students don’t buy books for their classes because they are convinced that they don’t really need them to achieve an acceptable grade.
This is exactly the line of thinking that textbook writers are afraid of—they want students to have to use their books to get good grades in their classes, and they want professors to think that students need their books so that they require them as part of their classes.
Even though textbooks have a definite value—they are available to students who use them when their professors are not—there is some debate on whether they are really needed as part of university classes.
Recently, a researcher conducted an experiment to address this question. In the experiment, the researcher compared two sections of his introductory statistics course, a course required for all liberal arts and sciences students. Students who were enrolled in the fall semester of the course were told that buying the textbook was optional, whereas students enrolled in the spring semester were told that buying the textbook was required. All 380 of the students (190 in the fall and 190 in the spring) completed the course, and they all took the final exam, which consisted of some calculations and several conceptual essay questions.
When the professor finished scoring the essays, he compared the final exam grades of both sections of the class. He found just what he thought he would—there were no differences in the scores on the exams between the section that thought the textbook was optional and the section that thought the textbook was required. The average grade for the fall semester was 84.3%, and for the spring semester it was 85.2%.
Based on this study, the researcher concluded that textbooks were not necessary or helpful for learning, since there were no differences in scores between the two sections.
No control or comparison group
No random assignment
Participant bias
Small sample size
Poor sample selection
Attrition or mortality
Experimenter bias
Confuse correlation with causality
DV is not reliable, precise or accurate
DV is not valid
DV is not objectively scored
Premature generalization of results
The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.
Moreover, the study fails to account for extraneous variables that might affect the results. Therefore, that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.
The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.
Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.
Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.
Therefore, the textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.
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Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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Find an equation in slope-intercept form of the line that has slope 2 and passes through point (9,-2)
Answer:
y=2x-20
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=2(x-9)
y+2=2x-18
y=2x-18-2
y=2x-20
Is -2.2, -1.1, 0.1, 1.3,... an arthmetic sequence
Answer:
answer is no
Step-by-step explanation:
People r so annoying. Delete my answer bc no step by step¿
Fine. In order o make this an arithmetic sequence, the difference between each number should be the same. It’s not same in this sequence