The test that will allow you to analyze the differences in blood pressure between groups, after adjusting for age is the one way ANOVA test.
What is the test about?One-way analysis of variance is a statistical approach that can be used to determine if the means of two samples are substantially different or not. One-way ANOVA ("analysis of variance") examines the means of two or more independent groups to see if there is statistical evidence that the related population means differ significantly.
One-way ANOVA is commonly employed when there is a single independent variable, or factor, and the purpose is to determine whether fluctuations or various amounts of that factor have a measurable effect on a dependent variable. This van be used to illustrate the relationship.
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Approximately How many times greater is 1.7 x 10^6 then 3.5 x 10^5?
Which expression is equivalent to (2.1)5 (0.9)?
The equivalent expression is 9.45
How to find the equivalent expression?
Calculating the product,
(21.)5 (0.9) = 10.5 *0.9
= 9.45
Other equivalent expressions are:
[tex]\frac{189}{20} \text{ and } 9 \frac{9}{20}[/tex]
What is a product?
In mathematics, a product is the outcome of multiplication or an expression that specifies the elements, or objects that can be numbers or variables, that are to be multiplied. The commutative law of multiplication states that the result is unaffected by the order of multiplying real or complex numbers. A number that is obtained by multiplying two or more other numbers together is known as the product .Multiplication in other algebras in general, as well as matrix multiplication as an example, is non-commutative.To learn more about products, refer:
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A recipe book shows measurement conversions for cups to tablespoons. It shows that 0.5 cup equals 8 tablespoons and 1.5 cups equals 24 tablespoons.
Write an equation that shows the proportional relationship between cups and tablespoons where c represents cups and n represents tablespoons.
n = 0.0625c
c = 0.0625n
n equals 0.5 over 8 times c
c equals 8 over 0.5 times n
I have to submit this today pls hurry
AND THANK YOU SO MUCH
An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n
What is a proportion?A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.
Mathematically, a proportional relationship can be represented by the following equation:
y = kx
Where:
y and x represent the variables in a proportional relationship.k is the constant of proportionality.Let the cups be represented by c.
Let the tablespoons be represented by n.
Next, we would determine the constant of proportionality (k) as follows:
c = kn
Making k the subject of formula, we have:
k = c/n
k = 0.5/8 ≡ 1.5/24
k = 0.0625.
Substituting the parameters into the equation for a proportional relationship, we have;
c = kn
c = 0.0625n
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Answer:
C = (8/.5)n
Step-by-step explanation:
.5 = 8
1.5 = 24
C = (8/.5)n
Because
8 divided by .5 = 16
16 * .5 = 8
Ex.2
8 divided by .5 = 16
16 * 1.5 = 24
Can someone explain powers of imaginary numbers? (like i^2, i^3, i^4, and so on)
The powers of the imaginary number gives:
i² = -1i³ = -ii⁴ = 1i = i⁵i² = i⁶i³ = i⁷i⁴ = i⁸etc...
How the powers of imaginary numbers work?We know that the imaginary number is defined as:
i = √(-1)
If we square it, then we get:
i² = √(-1)² = -1
As the exponent 2 removes the square root.
With the exponent 3 we get:
i³ = √(-1)³ = √(-1)²*√(-1) = -1*i = -i
i³ = -i
Finally, the exponent 4 gives:
i⁴ = i²*i² = (-1)*(-1) = 1
And now the cycle repeats, we will have that:
i = i⁵
i² = i⁶
i³ = i⁷
i⁴ = i⁸
etc...
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How far can a bat travel in nine hours, if it is flying at nineteen miles per hour?
Answer:
171
Step-by-step explanation:
This is because 19*9=171. 19 miles per hour and 9 hours.
Jayden has 4x² red pens and 3x orange
pens.
He has twice as many black pens as red
pens.
He also has 5 fewer purple pens than
orange pens.
Write an expression in terms of x for the
total number of red, orange, black and
purple pens that Jayden has.
Give your answer in its simplest form.
It gave the number of red pencils and orange pencils. Let's add them up.
[tex]4x^2+3x=R+O[/tex]He has twice as many black pens as red pens.
[tex]B=2R[/tex][tex]B=2(4x^2)=8x^2[/tex]He has five less pink pencils than he has orange pencils.
[tex]P=O-5[/tex][tex]P=3x-5[/tex]Let's add up all the values we found.
[tex]R+B+O+P=4x^2+8x^2+3x+3x-5[/tex][tex]=12x^2+6x-5[/tex]In its simplest form:
[tex]x^2+\frac{1}{2}x-\frac{5}{12}[/tex]An airplane 46,000 feet above the ground begins descending at the rate of 1,500 feet per minute. What is the altitude of the plane after 12 minutes?
Answer:
28000 ft
Step-by-step explanation:
46000 - (1500 * min) = x
46000 - (1500 * 12) = x
46000 - 18000 = x
28000 = x
An appliance store decreases the price of a 19-in. television set 28% to a sale price of $455.76 What was the original price?
Answer:
$633.00Step-by-step explanation:
Let the initial price be x.
We have:
Decrease rate = 28%,Sale price = $455.76The price has decreased from x by 28% and become $455.76.
Set equation and solve for x:
x - 28% of x = 455.76x - 28x/100 = 455.76x - 0.28x = 455.760.72x = 455.76x = 455.76/0.72x = 633which one of these constructiond would construct a line of relection that takes the point A to point B
Option D is the constructions that would construct a line of reflection from point A to point B. Make a line parallel to line AB.
A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.
What is a Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. They can be both horizontal and vertical in orientation.
We have,
-Make a perpendicular bisector of segment AB.
A perpendicular bisector does not create a line of reflection that connects points A and B, but rather divides the line AB into two equal parts.
-Draw a line through B that is perpendicular to segment AB.
A perpendicular line through B to segment AB WILL NOT Make a line of reflection from point A to point B.
-Build the line that connects A and B.
A line passing through A and B will NOT create a line of reflection that connects points A and B, but will instead create Line A and B and not its reflection.
Hence,
Make a line parallel to line AB.
A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.
To summarize
Option D is the constructions that would create a line of reflection from point A to point B.
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Part 2 - Find the error(s) and solve the problem correctly.
Simplify:
[tex](x^\frac{3}{5} )^\frac{7}{5}[/tex]
Answer:
[tex](x^\frac{3}{5} )^\frac{7}{5} = (x^\frac{10}{5} )=x^2[/tex]
The simplified expression is as follows;
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]The error was made because you didn't multiply the powers.
How to simplify an expression?The expression can be simplified as follows;
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} }[/tex]
Using the law of indices,
If a base variable is raised to a number (y) and the entire number raised to power (x), then it is equal to the base number raised to the multiplication of the two exponents (x × y) i.e.
Hence,
[tex](A^{x} )^{y} = A^{xy}[/tex]
Therefore, let's apply the rule,
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} }[/tex]
Hence,
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} } = x^{\frac{21}{25} }[/tex]
Therefore, using the law of indices,
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]
The error was that he did not multiply the exponents.
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what type of number is 1.00 with the line on top of 00 but i dont know how to put it
The number 1.00 as the decimal dot is present in the expression, it cannot be considered a whole number nor an integer. It is a rational number.
You can express it as a fraction 1/1 which is indicative of a rational number.
If f (x) = 2x2 + 3 and g(x) = *2 - 7, find (f + g)(x).
Answer:
Answer is (f + g)(x) = 3x^2 - 4
Step-by-step explanation:
For the following you need to do the following:
a. Name the slope
b. Name the starting value
c. Please draw figure 0, 4, and 5
d. Figure out how many blocks is in figure 100.
The slope, starting, values and number of blocks in the figures, found using arithmetic progression are;
1. Slope= 2
Starting value = 1
Figure 100 has 211 squares
2. Slope = 3
Starting value = ³
Figure 100 has 303 squares
3. Slope = 2
Starting value = 1
Figure 100 has 101 squares
4. Slope = 2•n + 1
Starting value = 1
Figure 100 has 10201 squares
5. Slope = 3
Starting value = 4
Figure 100 has 304 squares
6. Slope = 2
Starting value = 2 squares and 3 triangles
Figure 100 has 200 squares and 3 triangles
What is an arithmetic sequence?An arithmetic sequence is one that is formed by the addition of a constant to the value of a term, to get the value of the next term.
1. The difference between the number of squares in subsequent figure is 5 - 3 = 7 - 5 = 2
Which gives;
The equation that gives the number of blocks in each figure is a linear equation of the form, y = m•x + c
Where;
m = The slope = The rate of change of the number of blocks = 2 more squares each subsequent figure
c = The y–intercept = The number of blocks when the figure is Figure 0 = The number of blocks at the start (The starting value)
Subtracting 2 (the slope) from the number of blocks in Figure 1, gives;
c = The starting value = Number of squares in Figure 0 = 3 - 2 = 1
Figure 0 has one square
Figure 4 has (2 × 4 + 1) blocks = 9 Squares
Figure 5 has (2 × 5 + 1) blocks = 11 Squares
Figure 100 has (2 × 100 + 1) blocks = 201 Blocks
2. Here, the slope, m = The rate of change = 3
The starting value, c = 6 - 3 = 3 = Figure 0
The number of blocks in each of the required figures are;
Figure 0 = 3 Squares
Figure 4 = 3 + 4 × 3 = 15
Figure 5 = 3 × 5 + 3 = 18
Figure 100 has (3 × 100 + 3) squares = 303 Squares
3. The slope, c = 7 - 5 = 5 - 3 = 2
The starting value = 3 - 2 = 1
Figure 0 has 1 block
Figure 4 has (2 × 4 + 1) blocks = 9 squares
Figure 5 has (2 × 5 + 1) blocks = 11 squares
Figure 100 has (2 × 100 + 1) blocks = 101 blocks
4. The number of blocks is (n + 1)²
The number of blocks increases by 2•n + 1
The slope = 2•n + 1
The starting value = 2×0 + 1 = 1
Figure 0 has 1 block
Figure 4 has (4 + 1)² blocks = 25 blocks
Figure 5 has (5 + 1)² blocks = 36 blocks
Figure 100 has (100 + 1)² blocks = 10,201 blocks
5. Slope = 13 - 10 = 10 - 7 = 3
The starting value = 7 - 3 = 4
Figure 0 has 4 block
Figure 4 has (3 × 4 + 4) blocks = 16 blocks
Figure 5 has (3 × 5 + 4) blocks = 19 blocks
Figure 100 has (3 × 100 + 4) blocks = 304 blocks
6. The slope = 2
Starting value = 2 blocks and 3 triangles
Figure 0 has 2 blocks and 3 triangles
Figure 4 has (2 × 4) blocks + 3 triangles = 6 squares + 3 triangles
Figure 5 has 10 blocks and 3 triangles
The figure in question 6 shows only the block part
Figure 100 has (2 × 100 = 200) blocks and 3 triangles
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Which of the input-output tables represent a function?
Answer:
Table C
Explanation:
Trust bro
What is the value of x if 8x=2
Answer:
8x=2
x=2/8
x=1/4
the co efficient of x is 8
to eliminate it
you divide both sides by the co efficient of x
Please help with this 25 points
Answer:
25 x 13 = 325
Bat = 20
Pumpkin = 5
Witch = 10
Leaf = 50
Ghost = 60
Step-by-step explanation: hope this helps :)
Solve for x and y
35x-21y=10
5x-3y=2
Answer:
B. There is no solution
Step-by-step explanation:
35x - 21y = 10
5x - 3y = 2
---------------------
(5x - 3y = 2) × (-7)
= (-35x + 21y = -14)
---------------------------
35x - 21y = 10
-35x + 21y = -14
-------------------------
= (-4)
No Solution
I hope this helps!
The system of equation 35x - 21y =10 and 5x-3y=2 has no solution , Option B is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 35x - 21y =10 and 5x-3y=2
We can use elimination method to solve for x and y.
First, we can multiply the second equation by 7 to get:
35x - 21y = 10
35x - 21y = 14
Next, we can subtract the second equation from the first equation to eliminate the x terms:
35x - 21y - (35x - 21y) = 10 - 14
0 = -4
This is a contradiction, so there is no solution for x and y that satisfies both equations. The system is inconsistent.
Hence, the given system of equation 35x - 21y =10 and 5x-3y=2 has no solution , Option B is correct.
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a = 86.4 rounded to 1 DP b = 2.81 rounded to 2 DP Find the maximum of a - b
83.59 is the solution of linear equation a- b .
What are examples of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).The expression on the left is known as a linear expression because it can be used to solve the equation y = 2x+4 with two variables, which has a graph that is in a straight line. Thus, we refer to 2x+4 as a linear equation (or, later, a linear function).a = 86.4
b = 2.81
So,
Substitute = 86.4 - 2.81
Calculate the sum or difference = 83.59
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You buy 3.19 pounds of apples, 1.45 pounds of peaches, and 2.31 pounds of pears. What is your total bill?
Answer:
$6,95
Step-by-step explanation:
3,19
1,45
2,31 +
————
6,95
How much would you tip someone if the total cost of the meal is 13.40$?
The amount that you would tip someone if the total cost of the meal is 13.40$ is: $2.01.
How much is the standard tip in the United States?In the United States, the standard tip for good service is 15%. So, assuming that the meal service offered could be classified as a good service, we can say that 15% of 13.40$ will be the tip to provide.
15% of 13.40$ is equal to $2.01.
Therefore, the amount that the person who received the service is expected to pay is $2.01. Also, note that the tip for delayed service is 10% and the tip for excellent service is 20%. Bad service requires no tip.
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The smallest whole number thar satisfies the inequality 3x-1>2 is
A. 1
B. 2
C. 3
D. O
The smallest whole number that satisfies the inequality 3x-1>2 is option B. 2.
What is termed as the whole number?Whole numbers are all of the basic measuring numbers plus 0. Natural numbers are counting numbers in mathematics. As a result, the whole number can be defined as a collection of any and all natural numbers and 0. Whole numbers have included positive integers as well as zero.Whole Numbers are indeed the natural numbers plus the number 0. In mathematics, the set of whole numbers is represented by the symbol W and is given as 0, 1, 2, 3,...For the given question;
The inequality is given as;
3x-1>2
Solve the inequality to get the value of x.
Add 1 on both side.
3x - 1 + 1 > 2 + 1
3x > 3
Divide both side by 3.
x > 1
Thus, the number must be greater than 1 and the smallest which is 2.
Therefore, the smallest whole number that satisfies the inequality is 2.
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3 m.: 60 cm. =.........
The ratio is 5:1
What is a ratio?
An ordered pair of numbers a and b, written as a / b where b does not equal 0 is known as Ratio.
We are given
the ratio of 3m : 60cm
We known that 1m =100cm
Therefore 3m= 300cm
We have to find the ratio of 300 cm : 60cm
[tex]\frac{300}{60}=\frac{5}{1}[/tex]
On simplifying we get 5:1
Hence the ratio becomes 5:1
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I need helppp I’ll give Brainliest this is geometry btw
SOMEONE HELP?!!!!
By using the fact that the two triangles are equivalent, we will find that the value of n must be 18.4
How to find the length of n?Here we can see that the horizontal line divides the triangle in such a way that the left and right sides are divided in two halfs. (we can see this because both parts have the same symbol on them)
Also both of these triangles are equivalent, so:
if x is the measure of each part in the right side we can write the equivalent relation
11.3/x = (n + 4.2)/(2x)
Now wen solve this for n:
(11.3/x)*2x = (n + 4.2)
22.6 = n + 4.2
22.6 - 4.2 = n
18.4 = n
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The low temperatures in degrees Fahrenheit in Marsh ty during aweek in January were:
-3,-5, 3,7-2-2-5
What was the average low temperature for that week?
Answer:
-1
Step-by-step explanation:
To find the mean average, add them all up and divide by the number of values (7):
-3 + -5 + 3 + 7 + -2 + -2 + -5 = -7
-7 / 7 = -1
There are 8 players on a little league basketball team. They are practicing their free throws by having each playershoot 2 free throws.The table below shows the result of each player's free throws. "X" represents a missed free throw, and "0"represents a made free throw.Drag the bars to make a relative frequency plot that shows the proportion for each possible number of freethrows made by a player.
Relative frequency = (number of times an event occurs)/(Total numer of outcomes)
Player X 0 RFof 2 missed throws RF of 1 missed throw RF of no missed throw
2 0 0.125 0 0
0 2 0 0 0.125
1 1 0 0.0625 0
1 1 0 0.0625 0
0 2 0 0 0.125
1 1 0 0.0625 0
1 1 0 0.0625 0
0 2 0 0 0.125
Please help I need it by tonight
Using mathematical operations we can conclude that the area of the given figure is 40 units².
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.So, the area of the figure:
Where x = 4, so the expression will become:
x² + x² + x + xNow, do the mathematical operations to get the area of the figure as follows:
x² + x² + x + x4² + 4² + 4 + 416 + 16 + 840'
Therefore, using mathematical operations we can conclude that the area of the given figure is 40 units².
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Solve the following a)give the solution in calculator ready form (the exact value of x) and b)approximate the solution to the nearest hundredth.8. 3^2x - 12 * 3^x -28 =0
Given the following exponential equation:
[tex]3^{2x}^{}-12\cdot3^x-28=0[/tex]Note: the given equation is a quadratic equation
Let u = 3ˣ
So, the equation will be:
[tex]\begin{gathered} u^2-12u-28=0 \\ \text{factor}\rightarrow(u-14)(u+2)=0 \\ u-14=0\rightarrow u=14 \\ u+2=0\rightarrow u=-2 \end{gathered}[/tex]so,
[tex]\begin{gathered} 3^x=14 \\ or,3^x=-2 \end{gathered}[/tex]The negative result will be rejected because the range of the exponential function is greater than zero
So, the exact value of x will be as follows:
[tex]x=\frac{\log 14}{\log 3}[/tex]The approximate solution using the calculator will be:
x = 2.40
Please solve with work shown.
264 cm² is surface area .
What is surface area and example?.
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.The total space occupied by a 3D object's faces is known as its surface area.The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. It is consistently expressed in square units.Surface area of triangle = 1/2 * 8 * 16
= 4 * 16 ⇒ 64 cm²
area of rectangle = l * b
= 10 * 20
= 200 cm²
total surface area = Surface area of triangle + area of rectangle
= 64 + 200
= 264 cm²
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Write the next three terms of each of the following sequences.
-67, -75, -83,
Answer:
- 91, - 99, - 107
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 75 - (- 67) = - 75 + 67 = - 8
- 83 - (- 75) = - 83 + 75 = - 8
thus to find the next 3 terms subtract 8 from the previous term
- 83 - 8 = - 91
- 91 - 8 = - 99
- 99 - 8 = - 107
the next 3 terms are - 91 , - 99 , - 107
1/2Hd=d^2 solve for b
The solution of the equation for b is b= 2d²/H
What is subject of formula?This involves taking a variable in an equation to stand alone
Note that this variable is different from the initial isolated variable
How to determine the equation for b?The equation is given as
1/2Hb = d²
Divide both sides of the equation by H
So, we have the following equation
1/2Hb/H = d²/H
Multiply both sides of the equation by 2
So, we have the following equation
2 * 1/2Hb/H = d²/H * 2
Evaluate the quotients and the products
b= 2d²/H
The above computation implies that:
We changed the subject of the formula in the equation 1/2Hb = d² from d² to b
This implies that solving for b is a concept of subject of formula
Hence, the solution is b= 2d²/H
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