Answers
Base=5x5
=25
(Since it is a square base-sides are equal)
4 sides:
4(1/2)(10x5)
10x5=50
1/2 of 50 is 25
25x4=100
Since surface area = base + 4 sides, we need to add the base (25) and the 4 sides (100)
100+25=125
Surface area = 125 inches squared
Related Questions
find the curvature of r(t) at the point (7,1,1), r(t)=<7t,t2,t3>
Answers
The equation for curvature is given by κ = |r' × r''|/|r'|3 where r' = dr/dt and r'' = d2r/dt2. the curvature of r(t) at the point (7,1,1), r(t)=<7t,t2,t3> is √14/√490.
The equation for curvature is given by κ = |r' × r''|/|r'|3 where r' = dr/dt and r'' = d2r/dt2.
We are given the point (7,1,1) which is the same as t=1.
Therefore, we can substitute t=1 into the function r(t) to obtain r(1) =<7,1,1>.
From this, we can calculate the derivatives r' and r'' of the function r(t) at the point (7,1,1).
r' = <7,2,3>
r'' = <0,2,6>
Then, we can calculate the curvature κ using the equation κ = |r' × r''|/|r'|3.
κ = |<7,2,3> × <0,2,6>|/|<7,2,3>|3
= |<0,-14,18>|/|<7,2,3>|3
= √14/√490
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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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Three ballet dancers are positioned on stage. Oliver Is 6.3 feet straight behind Dana and 6.3
feet directly left of Ashley. When the music begins, Oliver twirls to Ashley's position, then
leaps to Dana's position, and finally walks back to his original position. How far did Oliver
travel? If necessary, round to the nearest tenth.
Answers
Oliver travelled the distance of 21.5 ft
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
As shown in the figure, we need to find the perimeter of the triangle ABC.
Perimeter = g + h +f ............(1)
g=f = 6.3 ft
Finding h using pythogoras theorem formula:
h² = g² + f²
= 6.3² + 6.3²
= 79.38
h =√79.38 = 8.909 ≈ 8.9 ft
So, (1) => Perimeter = 6.3 + 6.3 + 8.9 = 21.5 ft
Thus, Oliver travelled the distance of 21.5 ft
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how many cup dose it take
Answers
Answer:
4 gallons = 64 cups
1 gallons = 16 cups
3 gallons = 48 cups
Use I = PRT to solve
(time is in years).
P =$400
R = 9%
T = 0.25 years
(Remember 9% = .09 in decimal form).
Answers
The value of the variable I (i.e interest) is $9
How to determine the value of the variable I?From the question, we have the following parameters that can be used in our computation:
Principal, P =$400
Rate, R = 9%
Time, T = 0.25 years
The equation to calculate the interest is given as
I = PRT
Where
P, R and T are defined above
And I represents the interest
Substitute the known values in the above equation, so, we have the following representation
I = 400 * 9% * 0.25
Evaluate the products
I = 9
Hence, the interest is $9
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subtract. 57−25 enter your answer as a fraction in simplest form by filling in the boxes. $$
Answers
After subtracting 2/5 from 5/7, the resultant fraction is 11/35.
What are fractions?A fraction, which also symbolizes a piece of a whole, is a mathematical symbol for any number of equal parts.
When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. In a simple fraction, both are integers.
In a complex fraction, a fraction can be found in either the numerator or the denominator.
A suitable fraction has a numerator that is less than its denominator.
So, we have:
5/7 and 2/5
Now, perform subtraction as follows:
5/7 - 2/5
5*5 - 7*2/35
25 - 14/35
11/35
Therefore, after subtracting 2/5 from 5/7, the resultant fraction is 11/35.
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Correct question:
Subtract. 5/7−2/5 enter your answer as a fraction in simplest form by filling in the boxes.
In an endothermic reaction, energy is
Answers
Answer:
Endothermic reactions absorb energy
Step-by-step explanation:
EASY 7TH-GRADE MATH
You mix 1/4
cup of red paint for every 1/2
cup of blue paint to make 3 gallons of purple paint.
a. How much red paint do you use? How much blue paint do you use?
Question 2
b. You decide that you want to make light purple paint. You make the new mixture by adding 1/4
cup of white paint for every1/4
cup of red paint and 1/2
cup of blue paint. How much red paint, blue paint, and white paint do you use to make 1 1/2
gallons of the lighter purple paint?
PLEASE HELP THIS IS OVER DUE
Answers
The amount of red paint used is 3/4 gallons
The amount of blue paint used is 1 1/2 gallons.
The amount of red paint used is 3/8 gallons
The amount of blue paint used is 3/4 gallons
The amount of white paint used is 3 /8 gallons
How much of each paint was used?In order to determine the quantity of each type of paint needed, multiply the fraction of each type of paint used by the total gallons of purple paint.
Amount of red paint used = 1/4 x 3 = 3/4 gallons
Amount of blue paint used = 1/2 x 3 = 3/2 = 1 1/2 gallons
The quantity of each type of paint used to make the lighter purple shade:
Amount of red paint used = 1/4 x 1 1/2
1/4 x 3/2 = 3/8 gallons
Amount of blue paint used = 1/2 x 3/2 = 3/4 gallons
Amount of white paint used = 1/4 x 1 1/2
1/4 x 3/2 = 3 /8 gallons
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A given measures 30 degrees, and the measure of its vertical angle, is expressed as (5x+5) degrees. Solve for x
Answers
After solving the equation, the value obtained for x will be equal to 5.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given expression in the question,
5x + 5 = 30
5x = 30 - 5
5x = 25
x = 25/5
x = 5
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A men's traditional haircut at The Barber Spot costs $25 and a shave costs $30. There is an 8.25% state sales tax. What is the total price that Shai must pay if he gets his hair cut and beard shaved and he tips the barber 25%?
Answers
Answer:
The total price that Shai must pay is $62.66. This includes the $25 for the haircut, the $30 for the shave, the $3.56 in state sales tax, and the $4.10 in tip.
Answer:
c. 74.42
Step-by-step explanation:
!! calculate the cost of both services, add the percentage of the sales tax then the tip!
elect the correct answer. Which system of equations is satisfied by the solution shown in the graph? A coordinate plane linear graph on inequalities in which a line intersects Y-axis at 6 and another line intersects y-axis at 10. Both lines intersect X-axis at minus 2 and Y-axis at 8. A. x + 2y = 6 and x − y = 10 B. x + y = 6 and x − 2y = 10 C. x + 2y = 10 and x − y = 6 D. x + y = 6 and x − y = -10
Answers
We can factor this polynomial with 4 terms without grouping.
What is factor?Factor is a thing that influence decision or the situation.
How to factor polynomials with 4 term without groupingLet P(x) be a polynomial with four terms.
To factor P(x) without grouping, substitute
x = -1, 1, -2, 2, -3, 3.......
P(-1) = 0 ----> (x + 1) is a factor of P(x)
P(1) = 0 ----> (x - 1) is a factor of P(x)
P(-2) = 0 ----> (x + 2) is a factor of P(x)
P(2) = 0 ----> (x - 2) is a factor of P(x)
If P(-1) ≠ 0, then (x + 1) is not a factor of P(x).
Then, try x = 1, x = -2, x = 2 and so on.
Once one of the linear factors of P(x) is found, the other factors can bound easily (the rest of the process has been explained in the following examples).
Factor the following polynomials without grouping :
d as (x2 + ax + b).
Then,
(x + 1)((x2 + ax + b) = x3 - 2x2 - x + 2
Comparing the coefficients of x and constants,
b + a = -1 ----(1)
b = 2
Substitute b = 2 in (1).
2 + a = -1
a = -3
x2 + ax + b = x2 - 3x + 2
Factors of (x2 - 3x + 2) are (x - 1) and (x - 2).
Therefore,
x3 - 2x2 - x + 2 = (x + 1)(x - 1)(x - 2)
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What i the ratio between the number of edge and the number of vertice of a cube? Find few olid having ame ratio and why?
Answers
The ratio between the number of edges and the number of vertice of a cube is 2:3. All Prisms have a ratio of edges and vertices will be the same as that of the cube.
Edge – The outlines where two cube sides touch one another.
Vertices – The indicates the point where a cube's three sides meet.
Number of edges of a cube = 12
Number of vertices in a cube = 8
The ratio of edges in vertices = 12 : 8
= 3 : 2
Hence, the ratio between the number the edges and the number of vertices of a cube is 3 : 2
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Which ones are the correct answers
Answers
If f(x)= x³ + 7x²-x and g(x)=x²-3, what is the degree of g(f(x))?
•2
•3
•6
•8
Answers
g(x) = x^2 - 3
f(x) = x^3+7x^2-x
Start with the g(x) function. Replace every x with f(x)
g(x) = x^2 - 3
g(f(x)) = ( f(x) )^2 - 3
Then replace the f(x) on the right side with x^3+7x^2-x
g(f(x)) = (x^3+7x^2-x)^2 - 3
The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6
So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6
How do you convert 25 degrees into radians?
Answers
Answer:
25° × π/180 is = 0.4363rad
Step-by-step explanation:
Margaret wants to call her friend overseas. There is a connection fee of $2 and a charge of $1.60 per minute. So the cost of the call is
2+1.61 dollars for 1 minutes.
Can she talk for 15 minutes without going over a budget of $25?
O No, she would spend $26.
O Yes, she would spend $24.
O No, she would need $27.20.
O No, she would need $54.
Answers
Answer: A. No, she would spend $26.
Step-by-step explanation:
Let y be the total cost and x be the number of minutes
So the equation is
y = 1.6x + 2
Now put 15 in for x
y= 1.6(15) + 2
y= $26
So the answer is A. No, she would spend $26.
solve for x multiple choice question
Answers
Answer:
12
Step-by-step explanation:
Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].
The value of x is 12, option (B) is correct.
What is triangle proportionality theorem?A line parallel to one side of a triangle splits the other two sides of the triangle proportionally if the line also crosses the other two sides.
Given that,
Two lines are parallel to each other,
And length of sides are,
32 , x , 24 and 9.
By angle proportionality theorem,
32 / x = 24 / 9
x = (32 × 9) / 24
x = (4 × 9) / 3
x = 4 × 3
x = 12
The required length of x is 12.
Hence, option (B) is correct.
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Use the simple interest formula to find the ending balance
$2,500 at 5.9% for 7 years
Answers
The ending balance is $1032.5.
What is simple interest?
Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.
Here, we have
Given: P = $2,500, r = 5.9%, t = 7 years
Convert 5.9% to a decimal
5.9% = 5.9 ÷ 100
= 0.059
Substitute the values into the simple interest formula,
I = Prt and we get
I = Prt
= 2500 × 0.059 × 7
= $1032.5
Hence, the ending balance is $1032.5.
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He sold a car for 247,250 at a profit of 15%, what was the price of the car?
Answers
Answer: Cost Price = 21,50,000
Step-by-step explanation:
2. Swee took 3 hours to drive from Nilai to Ipoh at an average speed of 84km/h. In the return journey, he took 30 minutes more than the travelling time from Nilai to Ipoh. Calculate the average speed, km/h, of Swee return journey.
Answers
Concept: Proportion, to find the km/h return journer
3 hours to 84 km/hr = 3.5 hours to x km/hr
(since its inverse proportion, multiply the 1st to 2nd and 3rd to 4th)
Inverse proportion: as the other quantities increase, the other one decreases
Solution:3 : 84 = 3.5 : x
3(84) = 3.5x
252 = 3.5x (divide 3.5 both sides)
x = 72
Therefore, Swee took 72 km/hr thats why he took 3 and 30 minutes travelling time.Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-what is geometric sequence
Answers
Answer: A Geometric sequence is a type of sequence in which each subsequent term after the first term is determined by multiplying the previous term by a constant (not 1), which is referred to as the common ratio.
Step-by-step explanation: Hope this was helpful
Step-by-step explanation:
The sequence
a, ar, ar^2, .....ar^n-1,...
where a is the first term and any two consecutive numbers differ by a factor r, is called a Geometric progression (G.P.).
Geometric progression also known as Geometric sequence.
Mr. Reynolds has finally perfected his pizza sauce recipe, so now he can open his new pizza restaurant! He ordered a new, wood-fired pizza oven to make the pizzas in. The oven is shaped like a rectangular prism. It is 6 feet long, 5 feet wide, and has a volume of 195 cubic feet. How tall is the pizza oven? Write your answer as a whole number or decimal. Do not round.
Answers
The pizza is 6.5 feet tall in height
How to determine the height of the pizza?From the question, we have the following parameters that can be used in our computation:
Volume = 195 cubic feet
Length = 6 feet
Width = 5 feet
The height of the pizza can be calculate using
Height = Volume/(Length * Width)
Substitute the known values in the above equation, so, we have the following representation
Height = 195/(6 * 5)
Evaluate
Height = 6.5
Hence, the height is 6.5 feet
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Evaluate each expression. Show your work
Answers
Using PEDMAS to evaluate the expressions given, the values are -14 and 10.5 respectively
Evaluating an ExpressionEvaluating an expression is the process of simplifying an expression by performing the necessary mathematical operations to determine its value. It involves substituting a given value for each variable and then carrying out the indicated operations.
In the question given, we have two expression which we can evaluate.
A) -2 + 12 - 2³ ÷ 2⁰ * 3
Applying the rules of PEDMAS;
We will have -2 + 12 - 8 ÷ 1 * 3 = -14
The value of the expression is -14
B) 1/2 + √25 - 8 ÷ 2 + 3²
Applying the rules of PEDMAS again;
1/2 + 5 - 8 ÷ 2 + 9 = 10.5
The value of the expression is 10.5
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Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
The distance is about
units.
Answers
The distance from point A(−9,−3) to the line y = x−6 is 8.5 units
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
step 1
Find the slope of the perpendicular line to the given line
y=x-6 ---> given line
The slope is m=1
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
m1*m2 = -1
we have
m1=1
substitute
(1)*m2 = -1
so
m2 = -1
step 2
Find the equation of the perpendicular line to the given line
The equation in point slope form is
y-y1=m(x-x1)
we have
m=-1
(x1,y1)=(−9,−3)
substitute
y+3=-1(x+9)--> equation in point slope form
y+3= -x-9
y= -x-12---> equation in slope intercept form
step 3
Find the intersection point between the given line and the perpendicular line to the given line
we have the system of equations
y = x−6.
y= -x-12
Solve the system by graphing
The intersection point is (-3,-9)
see the attached figure
step 4
we know that
The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6
the formula to calculate the distance between two points is equal to
d=√[(y2-y1)² + (x2-x1)²]
substitute the values
d=√[(-9+3)² + (-3+9)²]
d= √72 units
simplify
d= 6√2 = 8.5 units
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Traci mixed nuts and raisins together in bags to make a trail mix. She
had a total of 6 cups of nuts and 8 cups of raisins. She placed 1/3 cup
of nuts in each bag, and 1/4 cup of raisins in each bag. Traci wanted
each bag to have a mixture of nuts and raisins. After Traci uses all
the nuts she has, how many more bags need nuts added?
Answers
Answer:
A) 14
Step-by-step explanation:
Nuts:
[tex]\frac{6}{\frac{1}{3} }[/tex] = [tex]\frac{6}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] Get a common denominator of 3 and divide
[tex]\frac{18}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{\frac{18}{1} }{\frac{3}{3} }[/tex] = [tex]\frac{18}{1}[/tex] = 18
We can make 18 bags with the amount of nuts given.
Raisins:
[tex]\frac{8}{\frac{1}{4} }[/tex] = 8 ÷[tex]\frac{1}{4}[/tex] Gert a common denominator of 4 and divide
[tex]\frac{32}{4}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{\frac{32}{1} }{\frac{4}{4} }[/tex] = [tex]\frac{32}{1}[/tex] = 32
We can make 32 bags with the amount of raisins given.
32 - 18 = 14
14 more bags need nuts agged.
in a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8 if we want to test at the 5% level of significance that the population variances differ, what is the value of the test statistic?
Answers
The value of the test statistic is 0.711, for the test at the 5% level of significance that the population variances differ in a random sample of 20 patients.
Since the information given to us is from a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8, and tested at the 5% level of significance that the population variances differ. The test statistic for this problem is calculated using the F-test. The formula for the F-test is:
F-test = (variance of sample 1) / (variance of sample 2). Therefore, the test statistic for this problem is F-test = 128.0 / 178.8 = 0.711.
To determine the p-value, we need to look up the F-distribution with (df1 = 20-1 = 19, df2 = 15-1 = 14) at a significance level of 5
%. The p-value is 0.347. Therefore, at a 5% level of significance, the test statistic is 0.711 and the p-value is 0.347. We cannot reject the null hypothesis that the population variances are equal.
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based on this scatterplot, we observe that there are 6 groups of turkeys, each group receiving a different amount of methionine supplement (ranging from 0% to 44%). what is the most reasonable experimental study design used to conduct this study?
Answers
This study was conducted to test the effects of dietary supplementation of feed grade L - Met on growth performance.
Given :
based on this scatterplot , we observe that there are 6 groups of turkeys, each group receiving a different amount of methionine supplement (ranging from 0% to 44%).
Initial BW of birds did not differ among treatments. Weight gain of birds during 28 d feeding period increased ( P < 0.05 ) from 690 to 746 g ( an average of 0.33 % DL-Met and L-Met ) as dietary Met supplementation regardless of Met source increased from 0 to 0.33%. However, the source of Met did not affect the weight gain of birds.
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ASAPPPPPP!!!!! for each graph caculate the slope of each line
Answers
Answer:
[tex]m = -1[/tex]
Step-by-step explanation:
Use the slope formula:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (1 , 1)\\(x_2 , y_2) = (-5 , 7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{7 - 1}{-5 - 1}[/tex]
Simplify. Combine:
[tex]m = \frac{(7 - 1)}{(-5 - 1)} \\[/tex]
[tex]m = \frac{6}{-6} = -\frac{6}{6} = -1[/tex]
[tex]m = -1[/tex] is your answer.
~
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Answer:
Slope (m) = -1
Step-by-step explanation:
Formula we use,
→ m = (y2 - y1)/(x2 - x1)
Now required slope will be,
→ (y2 - y1)/(x2 - x1)
→ (7 - 1)/(-5 - 1)
→ 6/(-6)
→ -1 => {Slope}
Therefore, the slope is -1.
Cual es el valor de la incógnita ¨x¨ en la ecuación 5(x+2)= 3(x+3)-1 ?
Answers
Answer: x= -1
Step-by-step explanation:
5(x+2)= 3(x+3)-1
5x + 10 = 3x + 9 -1
5x + 10 = 3x + 8
2x = -2
x= -1
HELPPP ASAPPPP PLSSS!!!!!
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle\\\frac{1}{2}z+6=\frac{3}{2}( z+6)[/tex]
[tex]\displaystyle\\Didtribute\ \frac{3}{2}:\ \frac{1}{2}z+6=\frac{3}{2}z+9[/tex]
[tex]\displaystyle\\Substract\ \frac{1}{2} z\ on\ each\ side:\ 6=z+9[/tex]
[tex]\displaystyle\\Substract\ 9\ on\ each\ side:\ -3=z\\\\[/tex]
[tex]z=-3[/tex]
