Answer:The easiest way to do this is to just raise 10 to the negative value of the pH. Thus, in this case hydrogen ion concentration would be 1x10-2.4. However, one doesn't usually leave it that way, so you put it in to the more conventional form as
3.98x10-3 and this would be the hydrogen ion concentration. If you take the negative log of this number (pH) you will get 2.4
5. In each of the following figures, AB// CD. Find the value of the unknown.
Note: Don't give wrong answer. Give answer by step by step explanation
The values of the unknown in the figures are a = 40, b = 32 and c = 275
How to determine the values of the unknownFigure (a)
A quadrilateral has a total angle measure of 360 degrees.
So, we have
90 - a + 92 + 128 + 90 = 360
Evaluate the like terms
-a = 360 - 400
So, we have
a = 40
Figure (b)
The total measure of angles on a line is 180 degrees.
So, we have the following
4b - 10 + 2b - 2 = 180
Evaluate the like terms
6b = 192
So, we have
b = 32
Figure (c)
The total measure of angles at a point is 360 degrees
So, we have the following
c + 19 + (94 - 28) = 360
Evaluate the like terms
c = 275
Hence, the value of c is 275 degrees
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Assignment 2: Please use the IQ data below and assess whether any of the IQ scores are statistically significantly high or low. Please provide corresponding z-score and percent of scores below from the table in the book. That is, you will need to provide the percent of all scores that falls BELOW the z-score you calculate (see z table in back of book gives you this percent). This is often referred to as the percentile rank.
Also, you will need to discuss whether each z- score meets the criteria of “statistically significant” and why. Please use your book to help with this part. While "statistical significance" is determined by an arbitrary score on the z-table, there is a score one must cross to be considered significant (.05 percent for example).
IQ Scores: 100, 90, 110, 160, 90, 85, 65, 100, 95, 98
The statistical significance does not necessarily imply practical significance. In this case, while the IQ score of 160 is statistically significant, it may not necessarily be practically
What is corresponding z-score and percent of scoreTo assess whether any of the IQ scores are statistically significantly high or low, we need to calculate the z-score for each score. The formula for calculating the z-score is:
z = (x - μ) / σ
Where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
First, we need to calculate the mean and standard deviation of the IQ scores:
Mean = (100 + 90 + 110 + 160 + 90 + 85 + 65 + 100 + 95 + 98) / 10 = 99.3
Standard deviation = √[((100-99.3)² + (90-99.3)² + (110-99.3)² + (160-99.3)² + (90-99.3)² + (85-99.3)² + (65-99.3)² + (100-99.3)² + (95-99.3)² + (98-99.3)²) / 10] = 39.77
Now we can calculate the z-score for each IQ score:
z1 = (100 - 99.3) / 39.77 = 0.018
z2 = (90 - 99.3) / 39.77 = -0.233
z3 = (110 - 99.3) / 39.77 = 0.27
z4 = (160 - 99.3) / 39.77 = 1.53
z5 = (90 - 99.3) / 39.77 = -0.23
z6 = (85 - 99.3) / 39.77 = -0.36
z7 = (65 - 99.3) / 39.77 = -0.86
z8 = (100 - 99.3) / 39.77 = 0.017
z9 = (95 - 99.3) / 39.77 = -0.108
z10 = (98 - 99.3) / 39.77 = 0.032
Using the z-table, we can find the percent of scores below each z-score:
z1 = 0.018 or 70.01%
z2 = -0.233 or 34.67%
z3 = 0.27 or 75.01%
z4 = 1.53 or 83.68%
z5 = -0.23 or 34.67%
z6 = -0.36 or 37.47%
z7 = -0.86 or 45.16%
z8 = 0.017 or 70.01%
z9 = -0.108 or 31.80%
z10 = 0.032 or 69.15%
To determine whether each z-score is statistically significant, we need to compare it to a predetermined level of significance, typically α = 0.05. If the probability associated with the z-score (i.e., the percent of scores below it) is less than or equal to α, we consider the score statistically significant.
Based on this criterion, the only score that is statistically significant is the IQ score of 160 (z-score = 2.29, percent of scores below = 83.68%). All other scores have a probability greater than α, and therefore are not statistically significant.
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Need help solving this problem.
Option A is correct, 162 is the greatest number of caps she can buy.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number of caps.
We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.
We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges (6x+25).
Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000.
We can represent this information in an equation as:
6x+25≤1000
Let us solve for x
Subtract 25 from both sides
6x≤1000-25
6x≤975
Divide both sides by 6
x≤162.5
Hence, Option A is correct, 162 is the greatest number of caps she can buy.
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[tex]7x + 3y = 13 \\ 2x - 3y = - 4 [/tex]
how can i solve them simultaneously?
use the process of elimination, once you solve, it will give you one variable that will work for both equations, once you plug that in, it will give you the other variable.
7x + 3y = 13
2x -3y = -4
add the "y"; 3y + (-3y) = 0
9x = 9
x = 1
plug in the "x" value into either question to solve for "y"
7(1) + 3y = 13
7 + 3y = 13
3y = 6
y = 2
Answer:
Step-by-step explanation:
7x + 3y = 13
2x -3y = -4
add the "y"; 3y + (-3y) = 0
9x = 9
x = 1
plug in the "x" value into either question to solve for "y"
7(1) + 3y = 13
7 + 3y = 13
3y = 6
y = 2
Question 3 of 13
A right rectangular prism and an oblique triangular prism are both 12
centimeters tall and have the same volume. What statement must be true
about the two solids?
A. The cross-sections of the prisms are the same shape.
• B. The area of the cross-sections of the prisms are multiples of each
other.
c. The vertical cross-sections of the prisms at the same width must
have the same area.
• D. The horizontal cross-sections of the prisms at the same height
must have the same area.
Horizontal cross-sections of the prisms at the same height have the same area.
Option D.
What statement must be true about the two solids?A right rectangular prism is a three-dimensional shape with six faces which are all rectangles. It has twelve edges and eight vertices.
An oblique triangular prism is a prism with 2 congruent triangular faces and 3 rectangular faces at an angle to the triangular faces.
This is the volume of solid figures concept.
The volume of a prism is obtained by multiplying the area of its base to its height. If the two given solid figures have the same volume and the same height then, the areas of their bases are also equal.
In this case, the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:
Horizontal cross-sections of the prisms at the same height have the same area.
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The equation y equals 4 times 3 to the power of t shows the number of infected people from an outbreak of the measles. The variable y represents the number of infected people, and t represents time in weeks. In how many weeks will the number of infected people reach 600
Answer: 8.2 weeks.
Step-by-step explanation: If y = 4*3^t, then 600 = 4*3^t. Therefore, t = log3 (600/4), which is approximately 8.2 weeks.
A square with side s has area s to the 2nd power. Brandon uses a square mat when he practices karate. The mat is 11 feet on each side.
Answer:
Step-by-step explanation:
i assume you mean that the mat is 11 feet on each side so
area = s*s(or S^2)
so 11*11=121feet sq
A group of students is painting a background piece for the school play. What is the area of the part that is painted blue?
The area of the part that is painted blue is 679 ft.
What are the basic arithmetic operations?
The four basic arithmetic operations are addition, subtraction, multiplication, and division.
Arithmetic operations are the building blocks for all mathematical processes and methods. (Yeah, they’re kind of a big deal!) These types of operations are part of the “arithmetic” branch of math.
Arithmetic operations strip math down to the basics that we use every day, whether we realize it or not. Those basics are addition, subtraction, multiplication, and division.
The area
= 20×30+(1/2)×20×(40-30) -3x5 - 2×3
= boot 10x10- 15-6
= 700-21
= 679
Hence, The area of the part that is painted blue is 679 ft.
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What is the variable, coefficient, constant of 11 Y +4.5?
Answer: variable Y, coefficient 11, Constant 4.5
Step-by-step explanation:
variable: Y
coefficient: 11
Constant: 4.5
75x+30y=1500. Solve for x and y
For the equation 75x+30y=1500, x is (100 - 2y) / 5 and y is (100 - 5x) / 2.
Describe Equation?An equation is a mathematical statement that uses symbols and numbers to express a relationship between two or more variables. It states that two expressions are equal to each other.
We can solve for x and y in the equation 75x + 30y = 1500 by using algebraic manipulation.
First, we can simplify the equation by dividing both sides by the greatest common factor of 75 and 30, which is 15:
(75x + 30y) / 15 = 1500 / 15
Simplifying the left side gives:
5x + 2y = 100
Next, we can isolate one of the variables. Let's isolate y by subtracting 5x from both sides:
5x + 2y - 5x = 100 - 5x
Simplifying the left side gives:
2y = 100 - 5x
by dividing both sides by 2:
y = (100 - 5x) / 2
This is the equation for y in terms of x. We can use this equation to solve for y given a value of x, or we can substitute it back into the original equation to solve for x in terms of y.
Let's solve for x in terms of y by isolating x in the equation 5x + 2y = 100:
5x = 100 - 2y
Dividing both sides by 5 gives:
x = (100 - 2y) / 5
This is the equation for x in terms of y. We can use this equation to solve for x given a value of y, or we can substitute it back into the original equation to solve for y in terms of x.
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HELPPP PLS thank you pls
The piecewise function is defined as follows:
y = x² + 4, x < 2.y = -x + 4, x ≥ 2.How to define the piecewise function?A piece-wise function is a function that has different definitions, based on values of the input x of the function.
For this problem, the intervals are given as follows:
x < 2. -> left of x = 2.x ≥ 2. -> right of x = 2.For the first interval, the interval is open due to the open circle, and the quadratic function is a translation up 4 units of y = x², hence:
y = x² + 4, x < 2.
For the second interval, which is the closed interval, we have a decaying line with slope of -1 and x-intercept of 4, hence:
y = -x + 4, x ≥ 2.
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Find the value of x
The value of x will be 12. For the given image.
What is the angle of arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
By dividing the arc length by the circle's circumference and multiplying the result by 360 degrees, one can calculate the angle of an arc. 0
To calculate the value of x make the equation below,
x / 4 = 18 / 6
x = ( 18 x 4 ) / 6
x = 12
Therefore, the value of x will be 12.
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Pat says that 4-(p+p+p) is the same as 4-p+p+p. 6 a By replacing p by 3 in both expressions, show that Pat is wrong. b Simplify each expression algebraically.
The required, two expressions are not equivalent, and Pat's claim is false.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
a) To show that Pat is wrong, we can substitute p = 3 into both expressions and compare the results:
4 - (p + p + p) = 4 - (3 + 3 + 3) = 4 - 9 = -5
4 - p + p + p = 4 - 3 + 3 + 3 = 7
Since the two expressions have different values when p = 3, Pat's claim is false.
b) Simplifying each expression algebraically, we have:
4 - (p + p + p) = 4 - 3p
4 - p + p + p = 4 + p
Therefore, the two expressions are not equivalent, and Pat's claim is false.
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Ryan estimates the measurement of the volume of a popcorn container to be 98 cubic inches. The actual volume of the popcorn container is 86 cubic inches. What is the percent error of Ryan's measurement to the nearest thousandth?
Answer:
difference: -4 cubic inches
% change: -10%
Step-by-step explanation:
The difference between the new volume and the original volume is ...
(new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²
__
The percentage change is figured with respect to the original volume:
% change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%
= -1/10 × 100% = -10%
Choose the correct statement.
O-2<-3
05>6
4>-4
O 0<-6
Step-by-step explanation:
here,
[tex] 4 > - 4[/tex]so the correct answer is this
Calculate the value of the expression(-7+3)(4-5×2)=
What is the surface area of this shape.
I will give brainliest
If you can please explain
The total surface area of the given solid is 256 inch²
Surface area:Surface area is the measure of the total area that the surface of an object occupies. It is usually expressed in square units, such as square meters, square centimeters, or square feet.
Here in this problem take the surface of the solid as the number of faces and calculate the area of each face as shown below.
Here we have
Solid box with dimensions 4 in, 5 in, and 8 in
The surface of the given solid can be divided as given in the picture
The surface area of the shape = Sum of areas of [ 1 to 12 faces ]
Area of (1, 2, 3, 7, 8, 9 faces ) = 6 (4 × 4 )= 96 inch²
Area of (4, 5, 6, 10, 11, 12 faces ) = 6 (5 × 4) = 120 inch²
Area of bottom = (8 × 5) = 40 inch²
Total Surface area = [ 96 + 120 + 40 ] = 256 inch²
Therefore,
The total surface area of the given solid is 256 inch²
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What is this equation
Answer:
x = 8
Step-by-step explanation:
[tex]15 + x = 23[/tex]
[tex]x = 23 - 15[/tex]
∴[tex]x = 8[/tex]
Help please due tonight
graph y ≤ 2 on a number line
graph x < -3 on a number line
PLEASE HELP !! It is due tonight
In the figure below, there are three right trangles. Complete the following.
The orientation and ratio of the sides of the similar right triangles are presented as follows;
(a) ΔZXY ` ΔZYW ~ ΔYXW
(b) ZX/YX = XY/WX
ZW/ZY = ZY/ZX
What are similar triangles?Similar triangles are triangles that have the same shape but may have different size.
(a) Similar triangles are triangles that have congruent internal angles.
Making use if the angles of the triangle, we get;
∠x ≅ ∠x (reflexive property of congruency)
∠YZW ≅ ∠YZWX (All 90 degrees angle are congruent)
Therefore; ΔZXY ~ ΔZYW by AA similarity postulate
Similarly; ΔZXY is similar to ΔYXW by AA similarity postulate
The similar triangles are therefore;
ΔZXY ~ ΔZYW ~ ΔYXW(b) The proportion of the corresponding sides of similar triangles are equivalent, and the cosine of an angle in a right triangle is the ratio of the adjacent side to the hypotenuse side, therefore;
ZX/YX = XY/WX
The tangent of an interior angle of a right triangle is the ratio of the opposite side to the adjacent side of the right triangle, therefore;
ZW/ZY = ZY/ZX
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What is 2 times the square root of 48 - the square root of 3 simplified
2 times the square root of 48 minus the square root of 3 simplified is 7√3.
what is square root?
The square root of a number is a value that, when multiplied by itself, gives the original number. In other words, it is the inverse operation of squaring a number. For example, the square root of 16 is 4 because 4 multiplied by itself (4 x 4) equals 16.
The symbol used to represent the square root is √. So, the square root of 16 is written as √16.
To simplify this expression, we can first simplify the square root of 48.
We know that 48 can be written as 16 x 3, and since 16 is a perfect square, we can simplify the square root of 48 as follows:
√48 = √(16 x 3) = √16 x √3 = 4√3
Now we can substitute this value into the expression:
2(4√3) - √3 = 8√3 - √3 = 7√3
Therefore, 2 times the square root of 48 minus the square root of 3 simplified is 7√3.
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HELPPPP MEEEE
I NEED TO TURN IN THIS LATE MATH HOMEWORK
Answer:
I think is D
Step-by-step explanation:
because
R:622 and Y:410
Of all the cookies in a cookie jar, 4/5 are oatmeal of the oatmeal cookies 2/3 have nuts what fraction of all the cookies in the cookie jar are oatmeal with nuts?
By answering the above question, we may state that So, 5333/10000 of linear equationthe cookies in the cookie jar are oatmeal cookies with nuts.
What is a linear equation?In algebra, a linear equation is one that of the form y=mx+b. The slope is B, and the y-intercept is m. As y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables". Bivariate linear equations are linear equations with two variables. Linear equations may be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear. A mathematical equation is said to be linear if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.
For the sake of a simple computation, let's say that the cookie jar contains 100 cookies.
The issue states that 4/5 of the cookies in the jar are oatmeal cookies. So,
80 oatmeal cookies are equal to 4/5 * 100.
Two thirds of the oatmeal cookies have nuts in them. So,
2/3 times 80 equals 53.33 oatmeal cookies with nuts (approx)
As a result, the percentage of cookies in the cookie jar that are made with oats and nuts is:
53.33/100 = 0.5333
This is expressed as a fraction:
0.5333 = 5333/10000
So, 5333/10000 of the cookies in the cookie jar are oatmeal cookies with nuts.
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Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water. What is the height, in inches, of the water in the tank after 5 minutes?
The height of the water in the tank after 5 minutes is approximately 732.6 inches.
What is the equation for a cylinder's volume?V = πr²h, where V is a cylinder's volume, r is its radius, and h is its height, is the formula for calculating a cylinder's volume. The formula is created by first determining the area of the cylinder's base, which equals r2, and then multiplying that area by the cylinder's height to determine the volume. The volume of tanks, pipelines, and other cylindrical objects may be calculated using this formula, among many other uses.
The volume of a cylinder, which is:
V = πr²h
Given that, diameter is 15 feet, so the radius is 7.5 feet.
Also,
2 feet per second = 2 * 12 * 60 inches per minute = 1440 inches per minute
V = πr²h
Substituting the values:
V = π(7.5)^2(14405)
Here, 14405 is the amount of water that flows into the tank in 5 minutes.
Divide the volume of water by the area of the base of the cylinder
V/A = h
2,044,123/(π(7.5)^2) ≈ 732.6 inches
Hence, the height of the water in the tank after 5 minutes is approximately 732.6 inches.
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A trapezoidal flower garden is shown below. what is the area of the garden
The area of the trapezoidal flower garden from the dimensions is 123.5 square meters
What is the area of the gardenThe trapezoidal flower garden represents the given parameter, where we have the following readings
Parallel sides = 9 m and 10 m
Height = 13 m
Using the above dimensions, we have the area to be
Area = 1/2 * Sum of parallel sides * Height
When the dimensions are substituted, we have
Area = 1/2 * (9 + 10) * 13
Evaluate the products
Area = 123.5
HEnce, the area is 123.5 square meters
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A consumer purchased a computer after a 28% price reduction. If x represents the computer's original price, the reduced price can be represented by?
The price after the reduction is 0.72x
How to determine the price after the reductionFrom the question, we have the following parameters that can be used in our computation:
Original price = x
Reduction = 28%
Using the above as a guide, we have the following:
Reduced price = Original price * (1 - Reduction)
Substitute the known values in the above equation, so, we have the following representation
Reduced price = x * (1 - 28%)
Evaluate
Reduced price = 0.72x
Hence, the reduced price is 0.72x
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Please help! I will give brainliest and 5 stars!!
Based on the information in the graph, we can infer that the length of Main St between 5th Ave. and 6th Ave. is 0.24km.
How to find the value of Main St between 5th Ave. and 6th Ave?To find the value of Main St. between 5th Ave. and 6th Ave we must perform the following mathematical procedure:
0.4 / x = 0.5 / 0.30.12 = 0.5 * xx = 0.24kmIn accordance with the above, what we did was a relationship between the fractions that represent the length of each street. In this case we had to clear the x that represented Main St. between 5th Ave. and 6th Ave.
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b. What is the distance between points K and L? Show your work.
c. Is JKL an equilateral triangle? Explain.
b. The distance between points K and L is 10 units.
c. ΔJKL is not an equilateral triangle.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
Given points as:
J (-5,-3)
K (1,5),
L (7,-3)
b. To determine the distance between points K and L, we can use the distance formula:
distance = √(x₂ – x₁)² + (y₂ – y₁)²
Substituting the coordinates of K and L, we get:
distance = √((7 - 1)² + (-3 - 5)²)
distance = √(36 + 64)
distance = √(100)
distance = 10
Therefore, the distance between points K and L is 10 units.
c. To determine if JKL is an equilateral triangle, we need to check if all three sides have the same length.
We can find the lengths of each side using the distance formula:
JK = √((1 - (-5))² + (5 - (-3))²) = √(6^2 + 8²) = 10
KL = 10 (as we found in part b)
LJ = √((-5 - 7)² + (-3 - (-3))²) = √((-12)²) = 12
Since all three sides have different lengths (JK and KL are 10 units, while LJ is 12 units), JKL is not an equilateral triangle.
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A parallelogram has vertices at (1, 3) , (1, 7) , and (4, 6) as shown. What is the point of the fourth vertex?
Answer:
(4,2)
Step-by-step explanation: