Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.
What is approximation?Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.
If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.
Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.
Learn more about approximation on:
https://brainly.com/question/27278132
#SPJ1
Make a table of ordered pairs for the equation.
y=12x−3
Answer:
slope:12
Step-by-step explanation:
I HOPE IT HELP YOU
0_<
Answer:
12
Step-by-step explanation
|-8| tango examen mañana ayuda
Answer:
bein estas for
Step-by-step explanation:
lerni :) kaj preterpasi
4. Find the base of a triangle if its height
is 2 3/4 cm and its area is 12 5/8cm². Write
your answer as a mixed number.
The base of the triangle is 9 2/11 cm.
Given the height of the triangle is = 2 3/4 cm
area of the triangle is = 12 5/8 cm²
we know the area of the triangle is = 1/2 × b × h
but base = ?
therefore, 12 5/8 cm² = 1/2 × b × 2 3/4 cm
convert improper fraction to proper fraction.
101/8 = 1/2 × b × 11/4
101/8 = 11b/8
like terms gets cancelled
101 = 11b
b = 101/11
b = 9 2/11 cm
Hence we get the base of the triangle as 9 2/11 cm.
Learn more about Triangles here:
brainly.com/question/17335144
#SPJ9
Which axis is triangle ABC reflected across?
Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.
6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.
What is the translation ruleThe translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.
To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.
Read more about Triangle here:
https://brainly.com/question/17335144
#SPJ3
pleaseeee help!!!!!!
Answer: 5. x=110 degrees
y=70 degrees
6. c=8
Step-by-step explanation:
5. x=110 degrees ==> x and 110 are congruent angles.
110+y=180 ==> y is the supplement of an angle which is congruent to 110.
110-110+y=180-110
y=180-110
y=70 degrees
6. c/4 = 6/3
c/4 =2
c=8
gaussian classes with distinct means, equal class prior probabilities, and common covariance matrix that is not necessarily a diagonal matrix.
The equal class prior probabilities, gaussian classes with unique means, and a common covariance matrix that isn't always diagonal. The particular choice for ∑ where d is 2 is µ[tex]_{2}[/tex]-µ[tex]_{1}[/tex].
What is a gaussian function?A Gaussian function in mathematics is a function with the base form and parametric extension for all real constants a, b, and c that are not zero. This function is frequently referred to as a Gaussian. It bears the name of the mathematician Carl Friedrich Gauss. A Gaussian's graph has the recognizable symmetric "bell curve" shape. The parameters a and b determine the height and location of the curve's peak, respectively, while the parameter c, also known as the standard deviation or Gaussian RMS width, determines the width of the "bell." Gaussian functions are frequently used in statistics to characterize the normal distributions, in signal processing to build Gaussian filters, and in image processing where two-dimensional Gaussians are utilized for Gaussian blurring.
To learn more about gaussian function ,visit:
https://brainly.com/question/13873614
#SPJ4
Steve is on a baseball team. Steve has hit 5 home runs in the thirty-five times that Steve has been up to bat. At this pace, how many bats would Steve need to hit twenty-four home runs?
An angle and a ray are drawn on a piece of paper, what is the maximum number of
points at which the two figures could intersect?
A. 0
B. 1
C. 2
D. 3
E. infinitely many
last one for this type of equation
Answer:
a.
t=11
A=210-14(11)
A=210-154
A=56
$56 left
b.
A=0
0=210-14t
14t=210
t=210/14
t=15
in 15 trips he'd be broke
find the largest value of $n$ such that $5x^2 nx 48$ can be factored as the product of two linear factors with integer coefficients.
If we can write
[tex]5x^2 + nx + 48 = (ax + b) (cx + d)[/tex]
then expanding the right side gives
[tex]5x^2 + nx + 48 = acx^2 + (ad+bc)x + bd[/tex]
so that [tex]ac=5[/tex], [tex]ad+bc=n[/tex], and [tex]bd=48[/tex], where [tex]a,b,c,d[/tex] are integers. We want to maximize [tex]ad+bc[/tex].
5 is prime, so [tex](a,c)[/tex] can be either (1, 5) or (5, 1). Let [tex]a=5[/tex] and [tex]b=1[/tex]. Then maximizing
[tex]ad+bc=5d + c[/tex]
is just a matter of picking the largest possible value for [tex]d[/tex], which is 48. Then [tex]\max\{ad+bc\}=5\times48+1\times1=\boxed{241}[/tex].
Here are two box plots:
95
95
100
100
105
box plot A
105
box plot B
110
110
115
115
1. Which box plot has a greater median? v
2. Which box plot has a greater measure of variability
Answer:
Box plot B
Step-by-step explanation:
Hope this helps
What additional information is obtained from an ordinal scale compared to a nominal scale?
An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.
Types of Variables:Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.
An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.
To know more about Variables visit:
https://brainly.com/question/17344045
#SPJ4
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Perimeter:
Área:
The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units
What is the area and Perimeter of the Triangle?
The formula for the area of a triangle ABC with 3 coordinates is;
Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|
The coordinates are;
(x₁, y₁) = (-6, 6)
(x₂, y₂) = (2, 3)
(x₃, y₃) = (-3, -2)
Thus;
Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|
Area (ΔABC) = (¹/₂)|-30 - 16 + 9|
Area (ΔABC) = ¹/₂ * |-35|
We are taking absolute value and so;
Area (ΔABC) = ¹/₂ * 35
Area (ΔABC) = 17.5 square units
To get the perimeter, we will use distance formula between two coordinates and we have;
AB = 8.544
BC = 7.071
AC = 8.544
Thus;
Perimeter = 2(8.544) + 7.071
Perimeter = 24.16 units
Read more about Area of Triangle at; https://brainly.com/question/19044159
#SPJ1
In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=
Answer:
m<1 = 111 degrees, m<2 = 69 degrees
Step-by-step explanation:
The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:
x + 88 + 3x = 180
4x = 108
x=23 degrees
Next, substitute 23 into the given angles:
m<1 = (23 + 88) = 111 degrees
m<2 = 23 * 3 = 69 degrees
Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps
Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5
The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:
[tex]\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}[/tex]
where |v| is the magnitude of the vector component and theta is the angle of the vector.
Using the magnitude and angle given for vector u we can write its component form :
[tex]\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}[/tex]
Doing the same for v
[tex]\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}[/tex]
Now adding both vector together
[tex]\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})[/tex]
To learn more about vector here,
https://brainly.com/question/13322477
#SPJ4
subtract 2a-3b from b-a
Answer:
Answer: (2a+3b)-(a+b) = a + 2b.
Answer:
-2a² - 3b² + 5ab
Step-by-step explanation:
(b-a) - (2a-3b)
= b(2a-3b) -a(2a-3b)
= 2ab - 3b² - 2a² + 3ab
= -2a² - 3b² + 3ab + 2ab
= -2a² - 3b² + 5ab
A student did six of ten problems correctly.
a. What is the ratio of the number right to the number wrong?
b. For every two answers that were wrong, how many answers were right?
5 feet.
The ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.
Ratio, in mathematics, is a term used to compare two or more numbers. It is used to indicate the size of one quantity relative to another. In a report, two quantities are compared by division. Here the dividend is called the "prepayment" and the divisor is called the "consequence".For example, in a group of 30 people, 17 of them like to walk in the morning and 13 of them like to ride a bike. We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing the ratio between two quantities, for example "a" and "b", is a:b, read as "a is b".i) Total number of problems =10
Correct problems = 6
Incorrect problems = 4
Ratio = Correct / incorrect
Ratio = 6/4
Ratio = 3/2
= 3 : 2
ii) The ratio of the number of correct problems to the number of bad problems, i.e. 3:2, represents that for every three problems the student can correct, both problems are wrong.
Hence, the ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.
Learn more about ratio here
https://brainly.com/question/2328454
#SPJ9
Simplify 4G+ 16H - 8J = 32.
Select one:
O a. G + 4H-2J = 8
O b. G + 4H-2J = 32
O c.
2G+8H4J = 16
O d.
4G+ 2H-J = 4
O e. 12(G+ H-J) = 32
Need help on question 6!!!
Chapter 15 Questions 4) In the diagram below, ABCD is a rectangle and triangle DEF is formed by joining the midpoints of AB and BC. a) determine the area of rectangle ABCD in terms of x and y, b) If the shaded area of triangle DEF is 15m², determine the value of xy. c) Hence, determine the area of triangle EBF
a) The area of rectangle ABCD in terms of x and y = 4xy.
b) xy = 10
c) area of triangle EBF = 5 m².
What is defined as the rectangle?A rectangle is a covered two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal as well as parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The length of the rectangle is the longer side, and the width is really the shorter side.Part A) The area of rectangle ABCD:
See the diagram;
The length of rectangle is 2x.
The width of breadth is 2y.
Area = length×breadth
Area = 2x × 2y
Area of ABCD = 4xy m².
Part b) value of xy.
The area of the triangle DEF is 15m².
area ΔDEF = area ABCD - area ΔADE - area ΔBEF - area ΔDFC.
Put the values;
area ΔDEF = 4xy - 2xy/2 - 2xy/2 - xy/2
area ΔDEF = 3xy
equate;
ΔDEF = 3xy and DEF = 15m².
3xy/2 = 15
xy = 10
Thus, the value of xy = 10.
Part c) area of triangle EBF:
area ΔEBF = xy/2
Put the value of xy = 10.
area ΔEBF = 10/2 = 5
Thus, the area of the triangle EBF 10m².
To know more about rectangle, here
https://brainly.com/question/2607596
#SPJ9
A rectangular tank measuring 27.0 cm times 7.0 cm times 11.25 cm contains a gas sample that has a density of 0.020 g/ml what is the mass of the gas contained in the tank
The mass of gas contained in the tank is 42.525 g. It is calculated using the concept of density and volume of a substance.
What is density?
Density is generally defined as the mass per unit volume. Its representation is done using the symbol p. SI unit of density is kg / (m)3.
Calculation of the total mass of gas contained in the rectangular tank
Given:
Length of the rectangular tank, l = 27 cm
Breadth of the rectangular tank, b = 7 cm
Height of rectangular tank, h = 11.25 cm
Volume of rectangular tank = l × b × h
= 27 × 7 × 11.25
= 2,126.25 cubic cm
Density = 0.020 g/ml (1 ml = 1 cubic cm)
Mass / Volume = 0.020
Mass = 0.020 × 2,126.25
= 42.525 g
Hence, the mass of gas contained in the tank is 42.525 g.
To learn more about the density, visit here:
https://brainly.com/question/1354972
#SPJ4
You are solving a measurement problem where the numbers 3.021 x 109 and 1.0482 x 10−4 are divided. How many significant digits should the quotient have?
2
3
4
5
The number of significant digits the quotient should have is 5. Option D
What are significant digits?Significant digits are important single digits from 0 to 9 in the coefficient of an expression.
They are also known as meaningful digits.
Significant figures or digits are the zeros that occur between any two non zero digits.
From the information given, we have;
3.021 x 109 1.0482 x 10−4Let's take the quotient
3.021 x 10^9 /1.0482 x 10^−4
This gives;
2. 88208 × 10^13
We can see that the number of significant digits are 5
Thus, the number of significant digits the quotient should have is 5. Option D
Learn more about significant digits here:
https://brainly.com/question/24491627
#SPJ1
The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10
The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.
What is the equation of the resulting graph formed from the transformations as described in the task content?It follows from the task content that the equation of the transformed graph be determined.
First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.
Hence, the resulting equation is;
y = |-x + 4|-8
y = |4 -x|-8
Also, when the graph is translated 2 units down; we have;
y -2 = |4 -x|-8
y = |4 -x|-8 +2
y = |4 -x| -6
Read more on transformations;
https://brainly.com/question/1548871
#SPJ1
PLEASE HELP
also do the check ur work side to plssss
Answer:
k = -10
Step-by-step explanation:
(-8-3k)/2 = 11
Multiplying both sides with 2:
2{(-8-3k)/2} = 11(2)
-8-3k = 22
-8-3k+8 = 22 + 8
-3k = 30
k = 30/-3
k = -10
Check:
(-8-3k)/2 = 11
Putting the value of k that is -10:
{-8-3(-10)}/2 = 11
(-8+30)/2 = 11
22/2 = 11
11 = 11
Hence, it is proved that, k is, in fact, equal to -10
Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet
Olivia purchases gifts for her mom and grandma for Mother's Day. The linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.
She spend $23.4 on the bracelet.Given that
Olivia purchases gifts for her mom and grandma for Mother’s Day.The linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.o find
How much did she spend on the bracelet?So, according to the question
We have
Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.So, we can say that
The amount of bracelet = Total amount spend by her - The amount of the pair of sunglassesNow, putting the all given values,
So, we get
= $(39.75 - 16.35)
The amount of bracelet = $ 23.4
She spend $ 23.4 on bracelet for Mother’s Day.
To learn more about linear equations please click on the link:
https://brainly.com/question/27964313
#SPJ9
A figure has two pairs of parallel sides and four right angles. The figure is translated four units down. how many parallel sides does the image have?
Additionally, the picture would contain two parallel side pairs.
What are parallel lines?Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.
How many sides of the picture are parallel?The parameters are as follows:
two parallel side pairsFour equal angles.4 units less translationA stiff transformation is the translation transformation.
This indicates that it maintains the orientation that is changing.
Two sets of parallel sides comprise the initial figure.
There would be two sets of parallel sides on the picture as a result.
To learn more about parallel lines from given link
https://brainly.com/question/28513645
#SPJ9
what is the value of 5^5/5^2=?
By using the exponential value calculation, the value of 5^5/5^2 is 125.
How do we calculate an exponential value?The multiplier is represented by the base B, which is written as "B x," and the exponent "x," which indicates how many times the base is multiplied. When "8" is the base, "3" is the exponent, and the entire equation is the power, the result is 8X8X8=512.
It can be expressed as -
5⁵ / 5² = 5×5×5×5×5 / 5×5
= 5 × 5 × 5
= 5³
= 125
To learn more about exponential value from given link
https://brainly.com/question/2456547
#SPJ9
Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Answer:
Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.
Using the function concept, it is found that relations b and c does not represent a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.
For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.
In item b, when x = 6, there are two values of y, hence this is also not a function.
More can be learned about relations and functions at https://brainly.com/question/12463448
#SPJ1
Solve for the value of t.
Answer: t =
(6t+6)°
(7t-7)⁰
Submit Answer
Step-by-step explanation:
t = 7°
Use angles on a straight line add up to 180°.
Mount Everest has an elevation of about 8850 meters.
Any location above 8000 meters is in the death zone,
which is the elevation at which there is not enough
oxygen to sustain human life. Write an inequality
that represents the possible elevations of climbers
in the death zone on Mount Everest.
The inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850
How to write an inequality that represents the possible elevations of climbers in the death zone on Mount Everest.The given parameter is'
Height = About 8850 meters
Death zone = Location above 8000 meters
Let the height be represented with x
So, the inequality that represents x is
Death zone < x ≤ Height
This gives
8000 < x ≤ 8850
Hence, the inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850
Read more about inequality at
https://brainly.com/question/24372553
#SPJ1