The equivalent expression of the expression 1.1 × 10 - 32.2 × 10⁴ will be
⇒ - 3,31,989
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is;
⇒ 1.1 × 10 - 32.2 × 10⁴
Now,
Solve the expression as;
The expression is;
⇒ 1.1 × 10 - 32.2 × 10⁴
⇒ 11 - 3,22,000
⇒ - 3,31,989
So, 1.1 × 10 - 32.2 × 10⁴ = - 3,31,989
Thus, The equivalent expression of the expression 1.1 × 10 - 32.2 × 10⁴ will be
⇒ - 3,31,989
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Addison earned a score of 510 on Exam A that had a mean of 550 and a standarddeviation of 40. She is about to take Exam B that has a mean of 26 and a standarddeviation of 5. How well must Addison score on Exam B in order to do equivalentlywell as she did on Exam A? Assume that scores on each exam are normallydistributed
Exam A:
[tex]\begin{gathered} \text{Score (x)=510} \\ \mu\text{ (mean)=55}0 \\ \sigma\text{ (standard deviation)=40} \end{gathered}[/tex][tex]\begin{gathered} Z\text{ = }\frac{x\text{ -}\mu}{\sigma} \\ Z\text{ = }\frac{510-550}{40}=-1 \end{gathered}[/tex]Z = -1, then...
Exam B:
[tex]\begin{gathered} x\text{ = ?} \\ \mu=26 \\ \sigma=5 \end{gathered}[/tex][tex]x=Z\times\sigma+\mu=-1\times5+26=21.00[/tex]Answer: 21
Simplify. 4·(−6)+(−6)-(-5)
please help, I'm working on overdue work and im reslly stressed because if I don't get this done i wont be able to see my long distance gf next week. Thank you for your time.
Answer:
= -7
Step-by-step explanation:
(−6)+(−6)-(-5)
= -6 - 6 + 5
= -7
Can someone please help me with this?
Answer:
constant of proportionality = 10
Step-by-step explanation:
the equation to find the constant of proportionality is,
y = kx
where k is the constant of proportionality
by substituting any value of y and x from the table,
30 = k3
thus, k = 10
for any given number of counselor the children will be it's ten times.
1 - 6m + 2 = -3m - m - 1
(b)
Mariam uses 25 g of baking powder. How much flour does she need to use?
(c) Mariam uses 720 g of flour. How much baking powder does she need to us
(d) Mariam wants to bake 4 cakes. How many baking powder and flour does she need
Answer: I don't know how to answer this question
This question needs an explanation of how much flour is needed to make a cake.
Plsss help me ASAP
Fill in the blanks plssss
∠1 + ∠3 = ∠2 + ∠3 because both of them are equal to 180 °.
∠3 = ∠3 because it is the common angle .
∠1 = ∠2 because they are vertically opposite angles .
What are the different conditions when 2 line intersects?At most, 2 distinct lines will intersect at one point. The general form of the two equations is required in order to locate the intersection of two lines. Only non-parallel lines will cross with each other. A pair of scissors, a folding chair, a road cross, a signboard, and other everyday objects are typical examples of intersecting lines. We will learn in-depth instructions on how to locate the spot where two lines intersect in this mini-lesson. They are referred to as intersecting lines when two lines have exactly one point in common. A common point connects the intersecting lines. The point of intersection is also known as the common point that all intersecting lines share. There will be a point of intersection between the two coplanar, non-parallel straight lines.
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pls help it’s urgent will mark brainliest
y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).
What is a perpendicular line?The two distinct lines that cross each other at a 90° angle are called perpendicular lines. Have you noticed any similarities between the walls' intersecting corners, such as the letter "L"? They are the parallel lines, which are straight lines that cross each other at the proper angle.
If two lines cross at a 90° angle, we say that they are perpendicular to one another.
We know that perpendicular lines have reciprocal and opposite sign slope, so the slope of 5x - 3y = -2 is 5 and according the y intercept form,
3y = 5x + 2b
And for a perpendicular line the slope will be -1/5
Now using the point-slope form we will find the line perpendicular to Point (-5, 2)
y − y₁ = m(x − x₁)
Put m as -1/5, y₁ as 2 and x₁ as -5, and we will get
y − 2 = -1/5(x − 5)
y - 2 = -1/5x + 1
y = -1/5x + 1 + 2
y = -1/5x + 3
Thus y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).
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x + y + z =9
2x + y + 2z =3-
X-4y–z=2
With the help of the given equations, the values of x, y, and z are -3, 15, and -3.
What do we mean by equations?The typical form for linear equations with two variables is Ax+By=C.For instance, the linear equation 2x+3y=5 is in standard form.Finding both intercepts of an equation in this format is fairly easy (x and y).An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.such as 3x + 5 = 15 as an example.There are many different types of equations, including linear, quadratic, cubic, and others.So, the values of x, y, and z:
Take equation (1) as follows: solve for 'x'
x + y + z = 9x = 9 - y - zNow, substitute (x = 9 - y - z) in equation (2) as follows:
2x + y + 2z = 32(9 - y - z) + y + 2z = 318 - 2y - 2z + y + 2z = 3-y = 3 - 18-y = -15y = 15Substitute y = 15 in equation (1):
x + y + z = 9x + 15 + z = 9x + z = 9 - 15x + z = -6So,
x = -6 - zz = -6 - xThen,
x + 6 + z = z + 6 + x0 = 0Then, we can conclude that x and z will be equal.
So, x = z = -3 as x + z = -6Therefore, with the help of the given equations, the values of x, y, and z are -3, 15, and -3.
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The complete question is given below:
Find x, y, and z.
x + y + z = 92x + y + 2z = 3x - 4y - z = 2Graph the line with the equation y=1/5x-2
The graph of the equation "y = 1/5x - 2" is shown: (Refer to the graph attached below.)
What is a graph?In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph. Bar graphs, circle graphs, and line graphs are the three most frequently used types of graphs. Different types of data can be displayed using different types of graphs.Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not surprising that print and electronic media frequently use graphs. When data is presented as a graph rather than a table, it can sometimes be easier to understand because the graph can show a trend or comparison.So, graph of equation: y = 1/5x - 2
Then, the graph of the equation "y = 1/5x - 2": (Refer to the graph of the equation attached below.)The coordinates will be, (0, -2).Therefore, the graph of the equation "y = 1/5x - 2" is shown.
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To decorate a cake, you make a shade of purple icing using 2 drops of red food coloring for every 3 drops of blue.
How many drops of blue food coloring would you need if you use 12 drops of red food coloring?
Answer: 18
Step-by-step explanation:
To get the answer you need to divide 12 by 2 to see what it was multiplied by. (6) Now that you know what the first part of the ratio was multiplied by, you can multiply the other part of it as well.
3 x 6 = 18
You can fact-check it by simplifying the fraction 12/18 which is 2/3.
Answer:
18
Step-by-step explanation:
12 drops of blue would be 6 sets of colouring, meaning you need to do the number of sets multiplied by the drops, giving us 6x3
And 6x3 is 18
6 (2c+3d) = 5 (4c-3d) ; d
The value of d = [tex]\frac{8c}{33}[/tex] (in terms of c)
How to find d from the equation?
The given equation is:
6 (2c+3d) = 5 (4c-3d)
⇒ 12c + 18d = 20c - 15 d
Grouping like terms,
⇒ 18 d + 15d = 20c - 12c
⇒ 33 d = 8 c
[tex]d =\frac{8c}{33}[/tex]
What is an equation?
A mathematical statement that has two expressions with equal values separated by the ' = ' symbol is called an equation. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns.The unknowns' values that fulfill the equality are known as the equation's solutions.To learn more about equations, refer:
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∠3 and ∠4 are supplementary. if the measurement of ∠3 is 2x+8 and the measurement of ∠4 is 6x+12, what is the measurement of ∠4?
The measurement of ∠4 is 132° when ∠3 and ∠4 are supplementary angles.
According to the question,
We have the following information:
∠3 and ∠4 are supplementary. if the measurement of ∠3 is 2x+8 and the measurement of ∠4 is 6x+12.
We know that when two angles are supplementary then it means that the sum of the given angles is 180°.
Now, before finding the measurement of ∠4, we will have to find the value of x.
∠3+∠4 = 180°
2x+8+6x+12 = 180°
8x+20 = 180
8x = 180-20
8x = 160
x = 160/8
x = 20°
Now, putting this value of x in ∠4.
∠4 = (6x+12)°
∠4 = (6*20+12)°
∠4 = (120+12)°
∠4 = 132°
Hence, the measurement of ∠4 is 132°.
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Can someone help me it's due tomorrow
Doing one problem would work for me
The common denominator for the fractions given will be:
1. The common denominator is 8.
2. The common denominator is 6.
3. The common denominator is 10.
4. The common denominator is 12.
How to illustrate the denominator?It should be noted that when a fraction is illustrated as a/b.
a = numerator
b = denominator.
1. We have 1/8 and 1/4. The common denominator is 8 since that's the lowest common multiple for the denominators.
2. We have 4/6 and 1/2. The common denominator is 6 since that's the lowest common multiple for the denominators.
3. We have 2/5 and 1/2. The common denominator is 10 since that's the lowest common multiple for the denominators.
4. We have 5/12 and 1/4. The common denominator is 12 since that's the lowest common multiple for the denominators.
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The smith twins, joe and john, have a car collection. the number of cars is represented by x. the number of cars in joe's collection is 2 times the number in john's collection. the total number in both is 78. what is x, the number in john's collection?
Answer: 39
Step-by-step explanation: what is x, the number in john's collection
so basically 2*39 is 78 the number in john's collection is 39 because you are trying to find the nubers of cars
-6x>18 use a table to solve the inequality
Answer:36
Step-by-step explanation:multiply divide and subctract
find the slope of (0,-1) (-1,-4)
The slope of the line that passes through point (0,-1) and (-1,-4) is 3.
What is the slope of the line that passes through the given points?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 0,-1 )
x₁ = 0y₁ = -1Point 2( -1,-4 )
x₂ = -1y₂ = -4To determine the slope of the line, plug the coordinates into the slope formula above.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( -4 - (-1) )/( -1 - 0 )
Slope m = ( -4 + 1 )/( -1 )
Slope m = ( -3 )/( -1 )
Slope m = 3
Therefore, the slope of the line is 3.
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Which graph represents the solution to one half m is greater than or equal to negative seven elevenths?
number line with closed circle on point negative 14 over 11 and arrow shaded to the right
number line with closed circle on point negative 7 over 22 and arrow shaded to the right
number line with closed circle on point negative 14 over 11 and arrow shaded to the left
number line with closed circle on point negative 7 over 22 and arrow shaded to the left
A graph which represents the solution to the given inequality one half m is greater than or equal to negative seven elevenths is: A. number line with closed circle on point negative 14 over 11 and arrow shaded to the right.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation (inequality) based on any of the following arguments (symbols):
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would evaluate and simplify the given inequality in order to determine which graph represent its solution as follows:
m/2 ≥ −7/11
Multiplying both sides by 2, we have:
2 × m/2 ≥ −7/11 × 2
m ≥ −14/11 or m ≥ −1.2727
In conclusion, a solution to the given inequality is m ≥ −14/11, which is illustrated by the graph shown in the image attached below.
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what is 1,234 rounded to the nearest hundred?
plss give me answer this is for tomorow
Answer:
1,200
Step-by-step explanation:
IN THIS AREA
20 The density of apple juice is 1.05 grams per cm³.
The density of fruit syrup is 1.4 grams per cm³.
The density of carbonated water is 0.99 grams per cm³.
25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and
280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
Work out the density of the drink.
Give your answer correct to 2 decimal places.
The density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
What is density?The density of a substance demonstrates the substance's density in a particular area. Mass per unit volume is the definition of density for a material. In essence, density is an indicator of how closely together matter is arranged.
It is one of an object's special physical characteristics. Greek scientist Archimedes was the first to understand the density principle. Knowing the formula and the corresponding units will make calculating density simple. Density can be symbolized by the letter D or by the symbol.
We know that the formula for density is
D = m/V
Where,
D = Density
m = mass,
V = Volume
25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and
280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
Let us find the mass of each drink mixed to make the new drink
mass = density × volume
mass of apple juice = 1.05 × 25
= 26.25 g
Mass of fruit syrup = 1.4 × 15
= 21 g
Mass of carbonated water = 0.99 × 280
= 277.2 g
Total mass of the drink = 26.25 g + 21 g + 277.2 g
= 324.45 g
Volume of the given drink = 320 cm³
Density of the drink = total mass of liquids/ volume
= 324.45g/320cm³
= 1.01 g/cm³
Thus, the density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
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What is 9.6 x 3.7 I know it’s 35.52 but I need to learn step by step
For good service, a garbage collector regularly receives PHP80.00 each from 9 households in our neighborhood once a week. How much does the garbage collector earns for good service in 6 months?
pls helppppppp dead line in 30 mins
The garbage collector earns PHP 18,720 for good service in 26 weeks or 6 months.
What do you mean garbage?
Waste materials that are thrown by people under various names—garbage, trash, junk, or refuse—usually reflect a perception of their lack of utility. Typically, the word excludes poisonous wastes, body wastes, and wastes that are only liquid or gaseous. Garbage is frequently categorized and categoriszed into types of materials appropriate for particular types of disposal.
Lets assume an ideal situation in 6 months, 3 months will have 31 days and 3 months will have 30 days.
So, total days in 6 months = 3(30) + 3(31)
total days in 6 months = 183
A week contains 7 days:
So, total number of weeks = days in 6 months/7
total number of weeks = 183/7
total number of weeks = 26.14
So, the garbage collector gives service of 26 weeks in 6 months.
Since, he receives 80 each from 9 households in a week.
so, total earning in a week = 80(9) = 720
Total earning in 6 months = weeks in 6 months (earning of 1 week)
Total earning in 6 months = 26 (720)
Total earning in 6 months = 18,720
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Make subject [h]-
1/h+1 +2=k
Answer:c
Step-by-step explanation:
a recipe calls for 2 teaspoons of cherry aid for every cup of water how many tablespoons of cherry aide must be used to make 4 quarts if drinks
Answer:
Step-by-step explanation:answer is 35
Student:
Functions
Student Activity Sheet 4; Exploring "Graphs"
Rental fee
$150
$100
odmen size6
$50
$0+
0
18
Carla's Cars-to-Go
L
200
Miles driven
100
300
Class:
Vince's Vans
Miles driven
50
100
150
200
250
300
Date
Rental fee
$22.50
$45.00
$67.50
$90.00
$112.50
$135.00
Student
nawol iswoll arb
Func
Stude
16. Which van rental company begins to charge you money as soon as you rent the va
(before you ever drive a single mile)? How do you know?
2016/3
It is a useful tool for identifying sources of variation in data and, as a result, for better understanding the process and determining root causes.
Vince's Vansrental company begins to charge you money as soon as you rent the va
What is a graphical analysis?Graphical analysis is a graphical representation of data that employs charts, figures, and graphs. It is especially useful in assisting managers in digesting large amounts of data. This type of analysis presents a large amount of data in an easy-to-understand format.Graphical analysis enables rapid learning about the nature of the process, clarifies communication, and provides focus for further analysis. It is a useful tool for identifying sources of variation in data and, as a result, for better understanding the process and determining root causes.To learn more about : Data Analysis
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In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
To find:
The method of drwaing the graph of given inequality.
Solution:
Given inequality: -3m +18 < 30.
Solve the inequality:
[tex]\begin{gathered} -3m+18<30 \\ -3m<30-18 \\ -3m<12 \\ 3m>-12 \\ m>\frac{-12}{3} \\ m>-4 \end{gathered}[/tex]To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.
18. How else can the ratio 4/5 be written?
A..2
OB. 4:5
C.5/4
D. 5:4
Mark for review (Will be highlighted on the revie
a survey of 50 young professionals found that they spent an average of $19.31 when dining out, with a standard deviation of $12.11. can you conclude statistically that the population means is greater than $18.00?
We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.
Define hypothesis.A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). In a scientific setting, a hypothesis is a tested claim regarding the relationship between two or more variables or a hypothesized cause of an observed occurrence.
Given,
The formula for our hypothesis is
H₀ u< 18, which states that the population mean cannot be higher than $18.
H₁ u > 18 denotes that the average income of the population is higher than $18.
They spent an average of $19.31 when dining out, with a standard deviation of $12.11.
Using given values,
= 19.31 -18/12.11÷√50
= 0.764
Now,
n - 1 = 49
P(tₙ₋₁ > Test statistics)
P(t₄₉ > 0.764)
Using t distribution table,
= 0.224
We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.
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a student has 273 matchsticks with which make a pattern of nested triangles.if all matches are used,how many matchstick will each side of the biggest triangle contain
The number of matchsticks that each side of the biggest triangle contains is; 137 matchsticks
How to find the biggest side of a triangle?
We know that for a diagram to be a triangle, then two smallest sides must not be greater than the third side.
Now, if there are 273 matchsticks, then the greatest side of the triangle must not be less than 273/2 = 136.5 ≈ 137
Thus, the largest side will have at least 137 matchsticks
Solve the right triangle shown in the figure. C. BC= 3.2m, B = 43.29, ZC = 90° a. ZA = 46.80, AC = 1.9m, AB = 3.7m b. ZA = 46.89, AC = 5.3m, AB = 4.4m - LA = 46.8°, AC = 5.3m, AB = 6.2m ZA = 46.8°, AC = 3.0m, AB = 4.4m d. -
The given triangle can be shown below
Since the sum of angles in a triangle is 180 degrees it follows
[tex]\angle A+\angle B+\angle C=180^{\degree}[/tex]It follows
[tex]\begin{gathered} \angle A+43.2+90=180^{\degree} \\ \angle A=180-90-43.2 \\ \angle A=46.8^{\degree} \end{gathered}[/tex]From the triangle above
Using trigonometrical ratios
It follows
[tex]\tan 43.2=\frac{b}{3.2}[/tex]This gives
[tex]\begin{gathered} b=3.2\times\tan 43.2 \\ b=3.2\times0.9391 \\ b=3.0 \end{gathered}[/tex]Hence,
[tex]b=3.0m[/tex]Also
[tex]\cos 43.2=\frac{3.2}{c}[/tex]It follows
[tex]\begin{gathered} c\times\cos 43.2=3.2 \\ c=\frac{3.2}{\cos 43.2} \\ c=\frac{3.2}{0.7290} \\ c=4.4 \end{gathered}[/tex]Hence,
[tex]c=4.4m[/tex]Therefore, the solutions are
[tex]\angle A=46.8,\bar{AC}=3.0m,\bar{AB}=4.0m[/tex]Answer: D
answer in picture too
Step-by-step explanation:
edge 2023
A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. What is the length of the rectangle in units?
If the rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. The length of the rectangle will be 13 units.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry. The area of a rectangle can be calculated using the following formula:
Area of a rectangle,
Rectangle area = length x width
It is given that, A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units.
Suppose the rectangle area is A, the perimeter is p, the width is w and the length is l.
A = 7 + P ----- 1
w = 3 units
A = lw
P = 2(l+w)
Substitute the values in equation 1,
A = 7 + P
lw = 7 + 2(l+w)
3l =7+2(l+3)
3l=7+2l+6
Rearrange the equation and solve,
3l-2l = 7+6
l = 13 units
Thus, if the rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. The length of the rectangle will be 13 units.
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