The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3) is
b Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5)
How to simplify the expressionIn simplifying the given expression: (1.8 x 10^5) - (2.6 x 10^3) while subtracting the power is made similar hence
= (1.8 x 10^5) - (2.6 x 10^3)
= (1.8 x 10^5 - 0.026 x 10^5
applying distributive property of multiplication
= (1.8 - 0.026) x 10^5
= 1.774 x 10^5
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Gianna can wash 6 cars in 2 hours. At this rate, how many cars can Gianna wash in 5 hours?
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
What is unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given question:
Gianna can wash 6 cars in 2 hours
Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.
Gianna's rate of washing cars is 3 cars per hour
Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
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Four more than twice the sum of a number and three is negative 5
Answer: It is A
Step-by-step explanation:
In 1972, about 22 crushed beverage cans weighed one pound. In 2002, beverage cans were lighter and about 34 crushed beverage cans weighed one pound. Every minute of every day, an average of 113,204 beverage cans are recycled. A: About how many pounds of beverage cans are recycled in an hour?
B: About how many tons of beverage cans are recycled in an average day?
C: About how many kilograms of beverage cans are recycled in a day?
A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds
B) The number of tons that the beverage cans are recycled in an average day is 2397 ton
C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg
What is a pound?The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.
In 2002 about 34 beverages can weigh one pound.
In one minute 113204 beverage cans are recycled.
In one hour, 60 minutes number of beverage cans recycled=113204×60
=6792240
34 beverage cans weight 1 pound
1 beverage cans weight=1/34 pounds
A) 6792240 beverage can weigh=1
=(1/34)(6792240) pound
=119771.765 pound
≈119772 pound
B) So, In 24 hours, no. of pounds recycled
=119772×24 pound
=119772×24×0.0005 ton
=2397.26 ton
≅2397 ton in one day.
C) So, In 24 hours, no. of tons recycled
=2397×24 ton
=2397×24×1000 kg
=57528000 kg
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In the figure below, points D, B, E, F, and lie in plane X.
Points A and C do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
The blanks are filled as below
(b) G and E are distinct points that are collinear.(c) F, D, B, and G are distinct points that are coplanar.(d) Suppose line AD is drawn on the figure. Then AD and AC are distinct lines that intersect.What are collinear points?Collinear points are those that are situated along a single straight line.
Collinear points are those that are on a line either close to or far from another point, it can be more than two points.
While coplanar points imply lying on the same plane
In the diagram,
E, F, and G are collinear points
D, B, E, F, and G are coplanar points
A, B, and C are another collinear points
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The wholesale price for a desk is $137 . A certain furniture store marks up the wholesale price by 16% . Find the price of the desk in the furniture store.
The marked-up price of the desk in the furniture store is $158.92.
What is the markup?The markup is the difference added to the cost of a product or service.
The markup represents the seller's profit on the cost.
The markup differs from the margin, which is the ratio of the seller's profit to the sales price.
The wholesale price of a desk = $137
Markup rate = 16%
Marked-up price = $158.92 ($137 x 1.16)
Thus, the desk is sold at the marked-up price of $158.92.
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A cylindrical rod of steel (e = 207 gpa) having a yield strength of 310 mpa is to be subjected to a load of 11,100 n. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0. 38 mm?.
the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm
Given the data in the question;
F = 11100 N
l₀ = 310 mm = 0.31 m
E = 207 GPa = 207 × 10⁹ N/m²
Δl = 0.38 mm = 0.0005 m
So, lets assume the deformation is elastic;
d₀ = √( [4l₀F] / [πEΔl] )
we substitute
d₀ = √( [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )
d₀ = √( 10123.2 / 172787595.947 )
d₀ = √( 5.85875 × 10⁻⁵ )
d₀ = 0.007654 m
d₀ = ( 0.007654 × 1000 )mm
d₀ = 7.65 mm
Therefore, required diameter is 7.65 mm
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If l is parallel to m, and line PQ is perpendicular to line RQ, then find the measure for each numbered angle.
m<1= _____
m<2= _____
m<3= _____
m<4= _____
The measure of the numbered angles are:
m ∠1 = 42°
m ∠2 = 48°
m ∠3 = 132°
m ∠4 = 90°
Calculating the measure of numbered anglesFrom the question, we are to determine the measure of each numbered angle.
From the given information,
Line l is parallel to line m and line PQ is perpendicular to line RQ.
Since line PQ is perpendicular to line RQ,
Then, we can write that
48° + m ∠1 = 90°
m ∠1 = 90° - 48°
m ∠1 = 42°
Also,
Since line PQ is perpendicular to line RQ,
m ∠4 = 90°
Since line l is parallel to line m,
m ∠2 = 48° (Alternate interior angles)
m ∠3 + m ∠2 = 180° (Linear pair theorem)
m ∠3 + 48° = 180°
m ∠3 = 180° - 48°
m ∠3 = 132°
Hence, the measure of angle 3 is 132°
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2(x-4 1/2)=-6.1 hellllllppppp meeeee
Answer:
[tex]x=1.45[/tex]
Step-by-step explanation:
[tex]2\left(x-4 \frac{1}{2} \right)=-6.1 \\ \\ 2\left(x-\frac{9}{2} \right)=-6.1 \\ \\ 2x-9=-6.1 \\ \\ 2x=2.9 \\ \\ x=1.45[/tex]
Segment BD bisects angle ABC measure angle ABC equals 7x. The measure angle ABD equals 3x+25. Find the measurement of angle DBC
The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.
What is angle bisector?
An angle bisector is the ray or line segment that divides the angle into two equal parts.
Since the segment BD bisects angle ABC hence,
∠ABC = ∠ABD+∠DBC ..... (1)
Also, since segment BD bisects angle ABC hence,
∠ABD = ∠DBC
Use this fact in equation (1)
∠ABC = ∠ABD+∠ABD
∠ABC =2 ∠ABD
Now, substitute values and use algebriac multiplication.
7x = 2(3x+25)
7x = 6x+50
7x - 6x= 50
x=50
Now, substitute the value of x in the expression of ∠ABD.
∠ABD = 3x+25
∠ABD = 3(50)+25
∠ABD = 100
Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.
Hence, the measurement of angle DBC is 100°.
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Janell bought 2 __ 3 4 pounds of peaches and 3 __ 5 8 pounds of oranges. How many pounds of fruit did Janell buy?
Answer: 6 and 3/8
Step-by-step explanation:
2 3/4 + 3 5/8=?
Find LCM of the 2 numbers
LCM is 8
Multiply 2 to 3/4 in 2 3/4
2 6/8 + 3 5/8
Add whole numbers
2 + 3 = 5
Add the fractions itself
6/8 + 5/8 = 11/8
11/8 = 1 3/8
Combine whole numbers and fractions
5 + 1 + 3/8
6 3/8
Find the length of the segment connecting (-4, 3) and (-5,2). Provide
an answer accurate to the nearest tenth.
The length of the segment connecting (-4, 3) and (-5,2) is 1.4.
How to find length of segment?The length of a line segment can be measured by measuring the distance between its two endpoints.
Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:
length of the segment = √(2 - 3)² + (-5 + 4)²
length of the segment = √(-1)² + (-1)²
length of the segment = √1 + 1
length of the segment = √2
length of the segment = 1.41421356237
length of the segment = 1.4
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Melissa is planning to rent out a limo for her friends and herself for prom. Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile traveled. If Melissa aid the limousine driver $200 for prom, how many miles did she travel that night?
The number of miles Melissa travelled that night is approximately 667 miles.
How to find the distance travelled by Melissa?Melissa is planning to rent out a limo for her friends and herself for prom.
Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile travelled.
Melissa aid the limousines driver $200 for prom. The number of miles she travel can be calculated as follows;
using equation,
y = 450 + 0.3x
where
x = number of miles travelledy = total costTherefore,
200 + 450 = 450 + 0.3x
650 = 450 + 0.3x
650 - 450 = 0.3x
200 = 0.3x
x = 200 / 0.3
x = 666.666666667
x = 667 miles
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A coffee shop sells various types of hot beverages. For one particular drink, the store owners are trying to determine the price that will result in the best sales. The revenue, cost, and profit functions for this drink, based on price, are represented on the graph. Using the graph, which price should result in the maximum profit for the sales of this drink?
A graph shows the Price per Drink in dollars on the x-axis and the Total in dollars on the y-axis. A parabola R of x vertex at (3.5, 2,800) intercepts the x-axis. Another parabola P of x vertex at (4, 1,600) and C of x intersect both parabolas
A.
$2.85
B.
$3.60
C.
$4.00
D.
$5.80
Answer:
C. $4.00
Step-by-step explanation:
Profit, which is given by [tex]P(x)[/tex], is maximized when the price per drink is $4.00, as shown on the graph.
-9x - 2y = -12
-3x = y
find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. (2 points)
Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.
Given that,
Length of major axis(2a)=6.
So
a=6/2
=3
Length of minor axis(2b)=4.
So
b=4/2
=2
Putting in equation of standard ellipse. We get
[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]
After simplifying
4y² + 9x² = 36
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Given the explicit formula for an arithmetic sequence find the first five terms and the
52nd term:
an = -5n-22
Answer:
a₁ = -27
a₂ = -32
a₃ = -37
a₄ = -42
a₅ = -47
a₅₂ = -282
Step-by-step explanation:
An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.
Given explicit formula:
[tex]a_n=-5n-22[/tex]
To find the first 5 terms, substitute n = 1 through 5 into the given formula:
[tex]\begin{aligned}\implies a_1&=-5(1)-22\\&=-5-22\\&=-27\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_2&=-5(2)-22\\&=-10-22\\&=-32\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_3&=-5(3)-22\\&=-15-22\\&=-37\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_4&=-5(4)-22\\&=-20-22\\&=-42\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_5&=-5(5)-22\\&=-25-22\\&=-47\end{aligned}[/tex]
To find the 52nd term, substitute n = 52 into the given formula:
[tex]\begin{aligned}\implies a_{52}&=-5(52)-22\\&=-260-22\\&=-282\end{aligned}[/tex]
Which ordered pair makes the equation equal?
y = x - 2
Select one:
A.
(7, 9)
B.
(5, 3)
C.
(7, 14)
D.
(5, 7)
Answer:
B: (5,3)
Step-by-step explanation:
We just fill in the coordinates
A: (7,9)
9=7-2
9=5
not true
B: (5,3)
3=5-2
3=3
true
C: (7,14)
14=7-2
14=5
not true
D: (5,7)
7=5-2
7=3
not true
so b is the only correct answer
hopes this helps please mark brainliest
Write an inequality that could be used to represent all solutions for x: the quotient of a number and three minus twelve is less than 12
We can write the given statement as inequality as -
-(x/9) < 12
What is linear inequality? What is the law of Reversal and law of Trichotomy? What is the general equation of a Straight line?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.
y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and if (a < b) then (b > a).
Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).
The general equation of a straight line is y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the following statement -
"the quotient of a number and three minus twelve is less than 12".
We can write the inequality as -
-(x/9) < 12
Therefore, we can write the given statement as inequality as -
-(x/9) < 12
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find the value of x,y and z
Answer: Z=80
Step-by-step explanation:
2 websites sell the same type of headphone cost of headphone in website A is 49.95 and the postage is 4.39. The headphones in website B is 47.68 and the postage is 6.95. Including the postage which website is cheaper and by how much
Answer:
Website A is cheaper by 29 cents
Step-by-step explanation:
A
49.95 + 4.39 = 54.34
B
47.68 + 6.95 = 54.63
54.63 - 54.34 = 0.29
Answer:
the difference is 0.29 cents
website A is cheaper
Step-by-step explanation:
(47.68 + 6.95) - (49.95 + 4.39)
54.63 - 54.34 = 0.29
Here is the histogram of a data distribution. All class widths are 1. Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 2
C. 3
D. 4
E. 10
On solving the given problem, The value of the median of the distribution is closest to 5.
The median is what?In order to visualize data, a histogram is used. The width and area of each rectangle in the histogram are proportional to the class interval and data frequency, respectively.
When a dataset is sorted in either ascending or descending order, the median is the value that appears in the middle of the dataset.
Ascending numbers are listed in the following order:
2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9
Median is - 5
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Help please help help please help help me
Answer:
103
Step-by-step explanation:
angle 1 and angle 5 are the same as each other.
Can anybody help me with this?
The Height of trees are equal after 4 years and the height is 54 inches.
What is linear equation?A linear equation is a equation which draws straight line on the plot
when plotted.
Given,
Height of tree A at the time of planting = 38 inches
Height of tree B at the time of planting = 22 inches
Each year tree A grow = 4 inches
Each year tree B grow = 8 inches
Let's make an equation for the height of the trees,
H = 38 +4t
H = 22+8t
Now the time when height of both the trees will equal
38 + 4t = 22 + 8t
4t = 16
t = 4
Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.
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when comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way anova f test because the non-pooled t statistic does not require the assumption that the populations have equal .
When comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way ANOVA f test because the non-pooled t statistic does not require the assumption that the populations have equal Variances.
What are the assumption of non-pooled t statistics are following:The observations should be independent and randomly selected.The parent population from which observations are taken is normally distributed.The observations should be continuous.In non-pooled t statistic, the population variances need not to be equal.The assumptions of one-way ANOVA F test are following:The observations should be independent and randomly selected.The population from which observations are taken is normally distributed.The observations are continuous in nature.The variances of population are equal.To know more about Statistics here: https://brainly.com/question/218301
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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4. 5 feet long. What is the height of the tree?
By using unitary method, it can be calculated that Height of the tree is 30 feet
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
This is a problem on unitary method
A shadow of 4.5 feet long is casted by my friend 5 feet tall
A shadow of 1 feet is casted by an object of height [tex]\frac{5}{4.5} \ feet[/tex]
A shadow of 27 feet is casted by a tree of height [tex]\frac{5}{4.5}\times 27 \ feet[/tex]
A shadow of 27 feet is casted by a tree of height 30 feet
Height of the tree is 30 feet
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Tell whether the lines for the pair of equations are parallel, perpendicular or neither
y=5x+12
y=5x-1.3
The pair of lines given are parallel to each other.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following pair of lines -
y = 5x + 12
y = 5x - 1.3
Since the slope of lines are same, both of these lines are parallel to each other.
Therefore, the pair of lines given are parallel to each other.
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REASONING 11. Can the value of o*g_{2}(- 4) * befounc ? What about the value of log ? Why or why not ? What does this tell you about the domain of log ?
Find the length of the third side. If necessary, write in simplest radical form.
Legs- 9 and 7
Hypotenuse-?
Answer:
√130
Step-by-step explanation:
|
? | 7
|
---------------------------
9
a² + b² = c²
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
√130 = c
I hope this helps!
5 divided by 19 vvchgdvbdvvvdbbxbvxvvdhhsjjshhhdbhshhhdhhshshhshdggdhshgdgfduhf
The Algebra 3-4 PLC had to write new unit tests for the
district. Mr. Bihn took eight hours to write one new test.
Mrs. Inscoe took five hours to write one new test. How
long would it have taken them had they worked
together?
They both Bihn and Inscoe can do same work in 3(1/13) hours.
How to solve work time problems?
Time and work problems is very easy to solve.First take the LCM of given days.It gives the total part of work.Next calculate efficiency of given persons by using the formula.Efficiency = (work)/(time)
Bihn can write one test = Eight hours
Bihn's one hour work = 1/8
Inscoe can write one test = Five hours
Inscoe's one hour work = 1/5
Bihn and Inscoe 's one hour work = 1/8 + 1/5
= (5 + 8)/40
= 13/40
Both Bihn and Inscoe can do same work in 40/13
= 3(1/13) [13 * 3 + 1]
Hence, they both Bihn and Inscoe can do same work in 3(1/13) hours.
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