The water level after the rainfall is 1.75 below average.
How to calculate the difference?From the information, the water level in Colorado river is 2.55 m below average. a large rainfall caused and the water level to rise 0.8 m.
The water level after the rainfall will be:
= -2.55 + 0.8
= -1.75
Therefore, the water level after the rainfall is 1.75 below average.
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E. -2(a-8)how do you do this question?
Answer: -2a + 16
Step-by-step explanation:
You must do the distributive property. Since "a-8" is in the parenthesis and -2 is outside the parenthesis, you must multiply -2 by (a-8). -2 multiplied by a will equal 2a since you don't know what variable a equals. Next, you multiply -2 and -8 which would equal positive 16. The reason why it is positive is because 2 negative numbers multiplied or divided would equal a positive number. Thus, the answer is -2a + 16.
A composite figure is shown.
6 ft
6 ft
6 ft
20 ft
What is the total surface area of the figure?
A. 180 sq ft
B. 60 sq ft
C. 480 sq ft
D. 720 sq ft
4 ft
The total surface area of the given figure is 720 ft² that is option (D).
The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .
Let us divide the given Composite figure into three parts ,
Part(a) = top part having shape of pyramid
First we will calculate the LSA of the top pyramid.
Given that
base = 6ft
perpendicular distance = 4ft
Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]
On substituting the values we get
l=√(3²+4²)
l=√25
l=5 ft
LSA of pyramid = (1/2)* perimeter of base * slant height
Substituting the values we get ;
=(1/2)*(4*6)*5
=60 ft² ....(i)
Part (b)
the 2nd part is a rectangular prism with length = 20 ft
and breadth = 6 ft
Surface area of rectangular prism = 4*Area of side
=4*20*6
=480 ft² ...(ii)
Part(c)
The last part is a cube with only 5 sides of side 6ft.
Surface Area of the cube = 5*Area of side
=5*6*6
=180 ft² ....(iii)
Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism + Surface Area of the cube
Substituting the values from equation (i) , (ii) and (iii) we get ,
Total surface area of the figure = 60+480+180
=720 ft²
Therefore , the total surface area of the given figure is 720 ft².
hence option (D) 720sq ft is correct.
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Evaluate the function.
ƒ(x) = −3x² + 10x + 13
Find f(-1)
Answer:
find the inverse of the following function. The Domain and Range of inverse
a) f(×)=× b) f(×)=׳-4
Four fractions equal to 0.25
e^(iπ) = ?
e^(iπ) + 1 = ?
Please Help!!
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
6x^(2)-x-2=0
the discriminant is:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
How to find the discriminant?
For the general quadratic equation, the discriminant is:
a*x^2 + b*x + c = 0
The discriminant is:
D = b^2 - 4ac
In this case, the quadratic equation is:
6*x^2 - x - 2 = 0
Then we have:
a = 6, b = -1, c = -2
Replacing that in the discriminant equation:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
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m Ixl math...............
Answer:
baby help you with what? All i can do is pray for you,
Step-by-step explanation:
matter of fact bow yo head..............Amen
Find the value of x in the equation. 3/4 (8x-6) -2= 1/2-x
In linear equation, the value of x in the equation is 20/11.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.3/4 (8x-6) -2= 1/2-x
24x - 18 - 2/4 = x/2
24x - 20/4 = x/2
2(24x - 20) = 4x
48x - 40 = 4x
48x - 4x =40
44x = 40
x = 40/44
x = 20/11
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6. The formula for the perimeter of a
rectangle is P = 2L + 2W.
a. Solve the equation for W.
b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.
Step-by-step explanation:
work is shown and pictured
Expand and combine like terms.
(8x^4 + 1)² =
Evaluate the expression 4 with small 4 on top
Answer:
256
Step-by-step explanation:
That just means to multiply the number by itself 4 times.
4 x 4 = 16 x 4 = 64 x 4 = 256
If f(x) = x² – 1, and
g(x) = x + 2, then
f(g(x)) = [? ]x²+[ ]x + []
four friends attend the cinema and buy tickets using this offer. buy 3 tickets and get a ticket free they each play £6.30.
how much does a ticket cost?
In linear equation, £ 8.4 much does a ticket cost.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.They each pay £ 6.30
the total they pay is
6.3 × 4 = £ 25.2
buy three tickets and get a free ticket
3 tickets is £ 25.2
25.2/3 = £ 8.4
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Select the correct answer.
Which expression is equivalent to the given expression?
45
A.
9
5
B.
3
5
C.
5
3
D.
5
9
The expression which is equivalent to the given expression is option B. 3(5)^1/2
What is a surd?A surd is a topic which involves expressing a given number with a square root. Thus to arrive at the final expression, the answer is either a whole number or an expression involving a square root.
When a question involving a square root is given, the answer is a number which should be squared to give the same value in the given question.
Given: 45^1/2
we have;
45^1/2 = (5 x 9)^1/2
= 3(5)^1/2
So that the expression which is equivalent to the given expression is option B. 3(5)^1/2
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The expression that is equivalent to the given surd expression is; Option B. 3√5
How to solve surd problems?In Mathematics, surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Thus, surds can be classified as irrational numbers.
The question gives the surd expression as √45.
Now, according to surds product rule, we know that;
√45 = √(9 * 5)
= √9 * √5
= 3√5
Thus, we conclude that is the final simplification of the given surd expression.
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Two shops rent pairs of skis for a rental fee plus a fee
per hour. The table shows the total costs (in dollars)
for different numbers of hours at Shop A. The total
costy (in dollars) for x hours at Shop B is
represented by the equation
y = 2x + 8.
Which shop charges less per hour?
• Shop A
O Shop B
How many hours must a pair of skis be rented for the total costs to be the same?
The total costs are the same when a pair of skis is rented for
hours.
PLS HELP
Using linear functions, it is found that:
Shop B charges less per hour.The total costs are the same when a pair of skis is rented for 3 hours.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For Shop A, we have that the slope is of 3, as the cost increases by $3 an hour, hence:
yA(x) = 3x + b.
When x = 1, y = 8, hence we find the intercept b as follows:
8 = 3 + b
b = 5.
Hence:
yA(x) = 3x + 5.
For Shop B, the rule is given as follows:
yB(x) = 2x + 8.
Due to the lower slope, we have that:
Shop B charges less per hour.
The costs will be the same when:
yA(x) = yB(x).
Hence:
3x + 5 = 2x + 8
x = 3.
The total costs are the same when a pair of skis is rented for 3 hours.
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If the surface area of this box was 680in?, what
would the value of h have to be?
In cuboid , h = 14.5 is the value of h have to be .
Exactly what is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges. Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces.surface area = 2 ( lh + lw + hw) = 680
2( 10h + 10(10) + h(10) = 680
20h + 100 + 20h = 680
40h = 680 - 100
40h = 580
h = 14.5
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Ava had a budget of $340 to remodel her kitchen. After Ava finished, the cost was 25% more than her budget. What was the total cost to remodel Ava’s kitchen?
Given the following rate law, how does the rate of reaction change if the concentration of x is doubled? rate = k [x]2[y]3
The rate of reaction will increase by a factor of 4. The correct option is D.
What is the rate of reaction?In a reaction mechanism, a chemical reaction is depicted step-by-step. It is composed of separate chemical processes known as elementary stages. An elementary reaction is one that only requires one step to complete.
In an elementary reaction, the orders relative to each reactant are equal to the stoichiometric coefficient of that reactant. A provided rate law must be consistent with both the experimental rate law and the overall rate law that is being suggested.
The rate of reaction will be calculated as below:-
Rate (R) = k[x][y]²
R' = k[x][2y]²
R'=4k[x][y]²
R'=4R
Hence, the rate of reaction will increase by a factor of 4.
The complete question is given below:-
Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2
A) The rate of reaction will increase by a factor of 2.
B) The rate of reaction will increase by a factor of 5.
C) The rate of reaction will increase by a factor of 4.
D) The rate of reaction will decrease by a factor of 2.
E) The rate of reaction will remain unchanged.
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3. Which statement is true about a translation?
A) A translation takes a line to a parallel line or itself.
B) A translation takes a line to a perpendicular line.
C) A translation requires a center of translation.
D) A translation requires a line of translation.
A) A translation takes a line to a parallel line or itself.
Answer: A) A translation takes a line to a parallel line or itself.
Step-by-step explanation:
1) 6х - 4 = 5х - 11 ; ??
2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??
Answer:
1 ans
Step-by-step explanation:
6x - 4 = 5x-11
6x- 5x = -11+ 4
x = -7
Help me Help me Help me Help me Help me
ANSWER THE FOLLOWING QUESTIONS:
1. What are the missing numbers?
2. Does it show a pattern?
3. Describe the pattern.
Answer:
Week 1 =11
Week 2 = 9
Week 3 = 7
Week 4 = 5
Week = 3
11 + 9 + 7 + 5 + 3 = 35
Pattern: She is losing 2 less pounds each week. There is a pattern.
Find the difference of 6.761 x 1012 and 4.1 x 1012. 2.661 x 100 6.351 x 100 2.661 x 1012 6.351 x 1012
The difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].
What is subtraction?Minuend and subtrahend are the terminology used in subtraction, while difference refers to the result. The minuend is the first number; it's the number you take things from, and it has to be bigger than the other numbers. The number being subtracted is known as the subtractend, and it must be the lower number.
Given that 6.761 x [tex]10^{12}[/tex], 4.1 x [tex]10^{12}[/tex]
We need to find the subtraction value of these expressions
Now 6.761 x [tex]10^{12}[/tex] [tex]-[/tex] 4.1 x [tex]10^{12}[/tex]
= 2.661x [tex]10^{12}[/tex]
Therefore, the difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].
Hence, option (c) is correct.
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Complete question
Find the difference of 6.761 x 10 ^12 and 4.1 x 10 ^12.
(a) 2.661 x 10 ^0
(b) 6.351 x 10 ^0
(c) 2.661 x 10 ^12
(d) 6.351 x 10 ^12
Label the following number as a prime or composite. if the number is composite, then factor it completely. if the number is prime, answer "dne". 1426 select an answer factored:
Answer:
the answer due to the question is
1 is thousand
4 is hundred
2 is tens
6 is ones
Multiply. Write the answer in simplest form.
13/18 x 6/7
Answer:
13/21
Step-by-step explanation:
Solving steps
13/18 × 6/7
Simplify the expression
13/3 × 1/7
Multiply
Solution:
13/21
Alternative Form
0.619047
The answer in simplest form 13/18 x 6/7 = 13/21
To find the answer in simplest form 13/18 x 6/7
Simplify this, multiple nominator to nominator and denominator to denominator
(13 × 6)/(18 × 7) = 78/126
Now, reduce the fraction divide by 6,
we get, 78/126 = 13/21
Therefore, the final answer is 13/21.
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If a leinear system has more unknowns equations then it must hav einfinitely many solutions.
a. true
b. false
If a linear system has more unknown equations then it must have infinitely many solutions, which is true.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If there is only one equation with more than one parameter, then the number of the solution will be infinite.
If a linear system has more unknown equations then it must have infinitely many solutions, which is true.
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7 7/9 as an improper fraction
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7 \dfrac{7}{9}}[/tex]
[tex]\mathsf{= \dfrac{7\times9 + 7}{9}}[/tex]
[tex]\mathsf{= \dfrac{63 + 7}{9}}[/tex]
[tex]\mathsf{= \dfrac{70}{9}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{{\dfrac{70}{9}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Ryan is riding his bike. he biked a distance of 12 miles at a rate of 4 miles per hour. rearrange the distance formula, d = rt, to solve for ryan's time in minutes. (1 hour = 60 minutes) 480 minutes 180 minutes 8 minutes 3 minutes
(B) 108 minutes is Ryan's time.
What do we mean by the distance formula?Distance is a numerical measure of the distance between two objects or points. The distance can be a physical length or an estimate based on other criteria in physics or everyday usage. The distance between two points A and B are sometimes denoted as |AB|.The distance formula: d = rtSo,
To begin, consider the distance formula: d = rtDividing by the coefficient of t yields the following equation for t: t = d/rRyan's rate of 4 miles per hour can be voiced in minutes as 4 miles per 60 minutes.
Ryan's time:
t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 minTherefore, (B) 108 minutes is Ryan's time.
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The correct question is given below;
Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.
a. 480 minutes
b. 180 minutes
c. 8 minutes
d. 3 minutes
a 2 yard piece of aluminum wire cost $16.44 what is the price per foot?
Answer: The price per foot will be 2.74$
Step-by-step explanation:
what is the relation between yard and foot?
The value of one yard is equal to3 feet.
That is given by ,
1 yard =3 feet.
we have 2 yards piece of aluminium wire
Firstly,we have to find the cost of 2 pieces of aluminium wire.
2×3=6
The cost is 16.44
16.44/6=2.74.
Therefore the price per foot will be $2.74.
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Answer:2.74
Step-by-step explanation ; firstly we have to find the cost for 2 pieces of wire . 2×3≈6. the cost is 6. 16.44÷6=2.74. therefore the price per foot will be 2.74.If a quadratic function has the rule f(x)=(x-h)^2+k, what will cause a vertical translation?
Option 1: Changing the value of h
Option 2: Changing the value of k
Please help me as soon as possible, thanks.
to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
What will cause a vertical translation?
First, remember that for a general function f(x) we define a vertical translation of N units as:
g(x) = f(x) + N
If N > 0, the translation is upwards.If N < 0, the translation is downwards.In this case, we have the function:
f(x) = (x - h)^2 + k
If we apply a vertical translation of N units, then we get the new function:
f'(x) = (x - h)^2 + k + N
Now we have two constants, we can define:
k ' = k + N
Then the new quadratic function is:
f'(x) = (x - h)^2 + k'
So, as you can see, to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
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Correlational research results depicting a correlation coefficient of 0. 5 means that the associated variables demonstrate a __________ relationship.
Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.
The correct option is B.
Briefing:The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.
The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.
What exactly does it mean to have a moderate correlation?Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.
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I understand that the question you are looking for is:
Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.
a. weak negative
b. moderately positive
c. weak positive
d. strong positive