what is 3 3/4 x 2 1/2
Answers
Answer:
9 3/8
Step-by-step explanation:
15/4 x 5/2 = 75/8 = 9 3/8
Answer:
Mixed Number Form:9 3/8
Decimal Form:9.375
Exact Form:75/8
Step-by-step explanation: Hope I helped
Related Questions
Im not sure how to find the distance between the points.
Answers
Given,
the coordinates of the point is P(-4, -1) and N(1, -8).
Required
The distance between the point P and N.
The distance between the point P and N.
\(\begin{gathered} Distance=\sqrt{(1-(-4))^2+(-1-(-8))^2} \\ =\sqrt{5^2+(7)^2} \\ =\sqrt{25+49} \\ =\sqrt{74} \end{gathered}\)Hence, the distance between the points is sqrt(74).
A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?
Responses
The two linear equations never intersect.
The two linear equations never intersect.
The two linear equations graph the same line.
The two linear equations graph the same line.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.
The two linear equations intersect at exactly one point.
Answers
The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.
How many types of solution are there for two linear equations ?
There are 2 types of solution :
Consistent :
A consistent system is said to be an independent system if it has a single solution.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Non-consistent :
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
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The two linear equations never intersect.
When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.
If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.
It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.
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Which function is the inverse of f(x) = 2x + 3
Answers
Answer:
29
Step-by-step explanation:
because I do math for funnnnnsnnsnsnssn
A quantity with an initial value of 5700 decays exponentially
at a rate of 7.5% every 2 days. What is the value of the
quantity after 234 hours, to the nearest hundredth?
Answers
Answer:
36.5625
Step-by-step explanation:
so, if it decays at a rate of 7.5% every 2 days, and we have 234 hours, we do the following, 234/24, since there are 24 hours in a day, that gives us 9.75, "7.5% every 2 days" so we do this, 9.75/2 = 4.875
4.875 * 7.5 = 36.5625
i migt be wrong, but i'm pretty sure this is the answer, i'm not saying this is the answer like some people do, please let me know if i'm wrong.
Answer:
3897.77
Step-by-step explanation:
Decays 7.5%→r=0.075 (divide by 100)
Decays every 2 days: exponent of t/2
(where t is in days)
function- f(t)=5700(1−0.075) ^t/2
234 hours→234/24→9.75 days
Plug in t=9.75
f(9.75)=5700(1−0.075) ^9.75/2
3897.76635734
≈3897.77
Apply the power of a power property to simplify the expression (y^4/3 X y^2/3)^-1/2 = (^2)^-1/2
Answers
Decimal form y= 1.41421356..., -1.41421356...
Answer:
1/y (c)
Step-by-step explanation: Don't listen to the other person he taking things but i promise you will get this right
Converting from vertex form to standard form
\(y = \frac{1}{2} (x - 2) {}^{2} - 4\)
Answers
Answer:
\(\displaystyle f(x)=\frac{1}{2}x^2-2x-2\)
Step-by-step explanation:
To convert from vertex form to standard form, we can simply expand.
So, we have:
\(\displaystyle f(x)=\frac{1}{2}(x-2)^2-4\)
Expand the square:
\(\displaystyle f(x)=\frac{1}{2}(x^2-4x+4)-4\)
Distribute:
\(\displaystyle f(x)=\frac{1}{2}x^2-2x+2-4\)
Simplify:
\(\displaystyle f(x)=\frac{1}{2}x^2-2x-2\)
Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
What is the area of the square when rounded to the nearest whole number?
Answers
Answer:
16
Step-by-step explanation:
Its a square, so AB=CD, AC=BD and
Please help ASAP!! This is overdue!
Answers
The equation of each line is labelled as shown in the image attached below, where:
y = 2x + 7 is line b
x + 5y = 10 is line d.
x + y = -9 is line f.
y = x is line c.
x = -5 is line a.
y = -5 is line e.
What is the Equation of a Line?The equation of a line can be rewritten as y = mx + b, if the line has a slope of m and a y-intercept of b.
For vertical lines, the equation is written as x = b, where b is where the line cuts across the x-axis.
For horizontal lines, the equation is written as y = b, where b is the point on the y-axis the line intercepts.
The equation y = 2x + 7 is a line that has a slope of 2 and a y-intercept of 7. This line is labelled as line b in the image below.
x + 5y = 10 is rewritten as y = -1/5x + 2. The slope is 1/5 and the y-intercept is 2. This equation is labelled as line d.
x + y = -9 is rewritten as y = -x - 9. The slope is -1 and the y-intercept is -9. It is represented by the line labelled line f.
y = x has a slope of 1 and passes through the origin, (0, 0). It is labelled as line c.
x = -5 is the vertical line that is labelled as line a.
y = -5 is the horizontal line that is labeled as line e.
See image below.
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3x+2y=-3 2x-3y=-15 system of equations
Answers
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
3x−2y=3
Add 2y to both sides of the equation.
3x=2y+3
Divide both sides by 3.
x=
3
1
(2y+3)
Multiply
3
1
times 2y+3.
x=
3
2
y+1
Substitute
3
2y
+1 for x in the other equation, 2x−3y=15.
2(
3
2
y+1)−3y=15
Multiply 2 times
3
2y
+1.
3
4
y+2−3y=15
Add
3
4y
to −3y.
−
3
5
y+2=15
Subtract 2 from both sides of the equation.
−
3
5
y=13
Divide both sides of the equation by −
3
5
, which is the same as multiplying both sides by the reciprocal of the fraction.
y=−
5
39
Substitute −
5
39
for y in x=
3
2
y+1. Because the resulting equation contains only one variable, you can solve for x directly.
x=
3
2
(−
5
39
)+1
Multiply
3
2
times −
5
39
by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
x=−
5
26
+1
Add 1 to −
5
26
.
x=−
5
21
The system is now solved.
x=−
5
21
,y=−
5
39
Find the number,if 1/5 of it is 15
Answers
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
Answer:
75
Step-by-step explanation:
inductive reasoning is when uses lots of data to make a conjecture A. True B. False please answer now I need help with this please answer
Answers
Answer:
False
Step-by-step explanation:
Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence for the truth of the conclusion.
VOn a coordinate plane, 4 lines are shown. Line A B has points (negative 3, 2) and (3, 0). E F has points (0, negative 3) and (2, 3). Line J K has points (negative 3, negative 4) and (3, negative 2). Line M N has points (negative 1, 4) and (2, negative 5).
Which line is perpendicular to a line that has a slope
of Negative one-third?
line MN
line AB
line EF
line JK
Answers
Answer:
line EF
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. Their product is -1. The given line has slope -1/3, so the line we are looking for has slope 3.
Slope AB (-3, 2), (3, 0)
m = (2 - 0)/(-3 - 3) = 2/(-6) = -1/3
Slope EF (0, -3), (2, 3)
m = (-3 - 3)/(0 - 2) = -6/(-2) = 3
Slope JK (-3, -4), (3, -2)
m = (-4 - (-2))/(-3 - 3) = -2/(-6) = 1/3
Slope MN (-1, 4), (2, -5)
m = (-5 - 4)/(2 - (-1)) = -9/3 = -3
The only line with slope = 3 is line EF.
Answer: line EF
9c+(15-t)= ayudaaaaaaaaa
Answers
Answer:
baka
Step-by-step explanation:
Answer:
\(9c + 15 - t\)
Step-by-step explanation:
1) you only have to Remove parentheses.
\(9c + 15 - t\)
Therefor, the answer is 9c + 15 - t.
1 point
2). The ordered pairs all lie on the same line. Using the ordered pairs, write
an equation of the line in the form y = mx + b.*
(0, 3) (2, 7) (-1, 1) (5, 13)
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
First things first we have to find the slope. To do so you simply choose two of the ordered pairs and use the formula:
y2 - y1 / x2 - x1
I will use (0, 3) and (2, 7).
7 - 3 / 2 - 0
4 / 2
2
let’s double check by using the other set of ordered pairs.
(-1, 1) and (5,13)
13-1 / 5 + 1
12 / 6
2
Our slope is 2!
Next we will use the point-slope formula:
y - y1 = m (x - x1)
we will do this with one of the ordered pairs, since they all lie on the same line the answer will be the same each time.
I will use (2, 7).
y - 7 = 2(x - 2)
distribute:
y - 7 = 2x - 4
add 7 to both sides:
y = 2x + 3
Just to be sure that i didn’t make any mistakes i will double check by using another ordered pair.
I will use (-1, 1)
y - 1 = 2 (x + 1)
distribute:
y - 1 = 2x + 2
add 1 to both sides
y =2x + 3
There we have it! The answer is:
y = 2x+ 3
HELP I CANT DO IT.. (due in 30)
Answers
Answer:
i do not understand what you naeed help with
Step-by-step explanation:
Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?
Answers
YES
Area of Triangle 1Base=b
Height= h
Area 1=A1=1/2*b*h
Area of Triangle 2Base=b
Height= 4h
Area of triangle 2=A2=1/2*b*4h
Comparing A1 and A2A2/A1= (1/2*b*4h)/(1/2*b*h)
= (1/2*b*4h)/(1/2*b*h)
=4/1
Ratio of heights =h2/h1= 4/1
Ratio of areas =A2/A1= 4/1
They are proportional.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
Answers
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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Consider the power series: ∑
[infinity]
n
=
1
(
−
1
)
n
x
n
5
n
(
n
2
+
10
)
.
A) Find the interval of convergence.
B) Find the radius of convergence.
Answers
Answer:B
Step-by-step explanation: had the question before
Can you help me please
Answers
Answer:
Step-by-step explanation:
y ∝ x
y= k*x
As given y =-16, x=4 putt in above formula to get value of K
k = -16/4 = -4
Hence also given that ,
y =20
k = -4
x= ?
x= y/k (using formula)
x =20 / -4
x = -5
Select all of the statements that are valid based on the survey results.
Answers
Answer:
all except the last one
Step-by-step explanation:
Which best line fits the data? Explain why
Answers
Answer:
Step-by-step explanation:
The red line appears to be a good fit for the data because it passes through the center of the data points and follows the general trend of the points reasonably well. It appears to have a positive slope, indicating a positive correlation between the variables represented on the x-axis and y-axis.
Additionally, the red line appears to minimize the overall distance between the data points and the line, which is a common method for determining the line of best fit. This method is often referred to as the least-squares method, and it involves finding the line that minimizes the sum of the squared vertical distances between the data points and the line.
Mr. McGill is buying a pair of water skis that are on sale for a third of the original price. After he uses a $40 gift card, the total cost before taxes was $10. What was the original price of the skis?
Answers
Answer:
$150
Step-by-step explanation:
40 + 10 = 50
So the sale price of the skis were $50
If $50 is a third of the original price, multiply this by 3 to get the original price.
50 x 3 = $150
Answer:
The original cost of the skis is: $150
Step-by-step explanation:
- The question tells us that Mr. MacGill buys a pair of skis at 1/3 of the price. We are also told that he uses a gift card of $40 after which the cost of before taxes was $10.
- We are asked to find the original price of the skis.
- If the original cost of the skis is X. Then a third of the price of the skis is given by:
\(\frac{X}{3}\)
- This value is now the total amount he paid and he used the 40 gift card, which reduced the cost before taxes to $10, that was in turn paid for him to purchase the item.
Thus, we can say:
\(\frac{X}{3} =40+10\)
\(\frac{X}{3} =50\)
Cross multiply
\(X=50~x~3=150\)
Final Answer
The original cost of the skis is: $150
Write the decimal represented by the shaded square.
Answers
Answer:
40\100= 4\10=0.4
Answer:
Percentage Form: 40/100 Decimal Form: 0.4 Word Form: 4 tenths
use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8
Answers
Answer:
9/4
Step-by-step explanation:
This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4
you get a answer of
9/4 in fraction form
2.25 in decimal form
2 1/4 in mixed fraction form
The lot is 48 feet wide.
The dividers are each 2 feet wide.
Answers
Simplify the product of (3+ 173-17) that you
found in the previous step.
Answers
Answer: its 159
Step-by-step explanation: just simplify it
Answer:
the answer must be 159
Step-by-step explanation:
3 + 173 - 17=159
Raphael went to the store and bought 2 1 2 pounds of chicken for $9.00. What was the cost per pound of the chicken? Round your answer to the nearest cent, if necessary. $0.28
Answers
Answer:
3.6 dollars
Step-by-step explanation:
What is the area of trapezoid ABCD?
Enter your answer as a decimal or whole number in the box. Do
not round at any steps.
units²
-18 -16 -14 -12 -10
D(-13,-11)
-8
-6
A(-1,5)
4
-2
2
0
4
-6
-8
-10
-12
0/2
C (0, -2)
B(3, 2)
4
6
Answers
Given the coordinates above, the area of the trapezoid is approximately 41.
We have,
A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.
For the calculation showing the above solution:
Step 1 - Given:
A = (-3,2)
B = (1, 5) = ⊥
C = (-7, -3)
D = (0.-2)
Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:
d=√((x2 – x1)² + (y2 – y1)²).
Distance of Line AB =
√((1 – (-3))² + (5 – 2)²).
= √[(4)² + (3)²]
= √( 16 + 9)
= √25
AB= 5
Repeat this for BC, CD, DA and we'd get the following
BC = 11.313708498985
CD = 7.0710678118655
DA = 5
Step 3 - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:
A = [(a+b)/2] h
Where a = 5
b = 11.313708498985
h = 5
= [(5+11.313708498985)/2] 5
= 40.7842712475
= 41
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complete question:
What is the area of trapezoid ABCD?
Enter your answer as a decimal or whole number in the box. Do not round at any steps.
units²
Trapezoid A B C D on a coordinate plane with vertex A at negative 3 comma 2, vertex B at 1 comma 5, vertex C at negative 7 comma negative 3, and vertex D at 0 comma negative 2. Angle B is shown to be a right angle.
what is the volume of this cylinder
Answers
Answer:
471.24 Inches
Step-by-step explanation:
V= πr²h (diameter=10, Radius = 5)V = (22/7 × 5 × 5) × 6V= 550 × 6V = 3300 ÷ 7V = 471.2389=round offV = 471.24 inchesretrospective clinical and radiological outcomes of total hip arthroplasty in 51 patients after a mean 8.2 years using the nanos® short-stem prosthesis
Answers
The retrospective study was carried out on 51 patients, and the patients received total hip arthroplasty using the Nanos short-stem prosthesis.
The study aims to assess the radiological and clinical outcomes of the procedure after a mean of 8.2 years. The results of the study indicated that there were significant improvements in the clinical outcomes of the patients. The study was a retrospective study, which means that it was carried out after the procedure had been conducted.
The study involved a total of 51 patients who underwent total hip arthroplasty using the Nanos short-stem prosthesis. The aim of the study was to assess the clinical and radiological outcomes of the procedure after a mean of 8.2 years. The study was conducted in a tertiary referral hospital and involved the review of medical records, clinical examination, and radiological assessment. The study indicated that the clinical outcomes of the procedure were significantly improved.
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