Answer:
see below
Step-by-step explanation:
4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5
All exponent have to have the same number
42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5
Subtract the number
42 - 1.2 - 2.5 = 38.3
Add back the exponent
38.3 * 10 ^5
This is not in scientific notation
Move the decimal one place to the left and add one to the exponent
3.83 * 10^6
3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8
All exponent have to have the same number
3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9
Add the numbers
3.3+2.6+.77 =6.67
Add back the exponent
6.67*10^9
This is in scientific notation
8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
All exponent have to have the same number
8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4
Subtract
8.0 - 3.4 - .12 = 4.48
Add back the exponent
4.48* 10^4
This is in scientific notation
5 of 17Questions Question 5 Safiya needs to find a number that can be multiplied by 18−−√3 to result in a rational product. Which values could she use? Select all that apply.
Answer:
18 + √3
Step-by-step explanation:
The product of a surd and its conjugate gives a rational number. Hence;
(18 - √3) (18 + √3)
=324 + 18√3 - 18√3 - 3
=321
A rational number does not contain any surd, hence the answer.
Answer: cube root 1/18 & cube root 12
waht is the gcf of 4x^5 + 7x^3
Answer:
Step-by-step explanation:
4x^5 + 7x^3
x^3(4x^2 + 7)
The GCF is x^3
Barbara Cusumano worked 60 hours last week. Of those hours, 40 hours were paid at the regular-time rate of $12.50 an hour, 18 hours at the time-and-a-half rate, and 2 hours at the double-time rate. What was Barbara's gross pay for the week?
Answer:
$887.50
Step-by-step explanation:
Her gross pay is the sum of the pay amounts for each of the hour amounts:
pay = 40(12.50) +18(12.50)(1.5) +2(12.50)(2)
= (12.50)(40 +18(1.5) +2(2)) = 12.50(40 +27 +4) = 12.50(71)
pay = 887.50
Barbara's gross pay for the week was $887.50.
7x-x ............................ .
Answer:
6x
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
what do anthropologist study and why
Answer:
Anthropologists study human societies and cultures and the development of them from the past and present. They study this to analyze the differences and evolutions that us as humans have.
when a watch is sold at ksh.126 a loss of x% is made if sold at ksh.154 aprofit of x%is realized .find the buying price
Answer:
ksh 140.
Step-by-step explanation:
when a watch is sold at ksh.126 a loss of x%. This can be summarised as follow:
Selling price (Sp) = ksh 126
Percentage loss = x%
Cost price (Cp) =?
Percentage loss = Cp – Sp/Cp x 100
x% = Cp – 126/Cp .......(1)
if sold at ksh.154 a profit of x% is realized. This can be summarised as follow:
Selling price (Sp) = ksh 154
Percentage gain = x%
Cost price (Cp) =?
Percentage gain = Sp – Cp/Cp x 100
x% = 154 – Cp/Cp..... (2)
Equating equation 1 and 2, we have:
x% = Cp – 126/Cp .......(1)
x% = 154 – Cp/Cp..... (2)
Cp – 126/Cp = 154 – Cp/Cp
Cross multiply
Cp(Cp – 126) = Cp(154 – Cp)
Cancel out Cp
Cp – 126 = 154 – Cp
Collect like terms
Cp + Cp = 154 + 126
2Cp = 280
Divide both side by 2
Cp = 280/2
Cp = 140
Therefore, the cost price otherwise known as the buying price is ksh 140.
in triangle ABC A-B= 15 degree, B-C= 30 degree find A,B,C
Answer:
A=80 , B=65, C=35
Step-by-step explanation:
A-B=15 ⇒A=B+15
B-C=30⇒-C=30-B ⇒C=B-30
the sum of angle of a triangle = 180
A+B+C=180 ( substitute A and C)
B+15+B+B-30=180
3B-15=180
3B=180+15
B=195/3=65
C=B-30 ⇒ C=65-30=35
A=B+15=65+15=80
check : A+B+C=180
80+65+35=180 ( correct)
Please solve.
Essie likes plants. She never misses a chance to go to the nursery section in Home Depot. Essie has a total of $65.50 to spend on her trips to the store over the next three days. On her second trip to the nursery she spent $15.50 dollars more than what she spent on the first trip to the store. On her third trip to the nursery she spent two times much as what she spent on her first trip to the nursery. How much did she spend on her first trip to the nursery? Create a linear equation to model a real-world situation and solve the equation to find the solution
Answer:
Step-by-step explanation:
Let $ x = the amount spent on the first day
The amount spent on the second day = x + 15.50
The amount spent on the third say = 2*x = 2x
Total amount Essie spent on 3 days = $65.50
x + (x +15.50) + 2x = 65.50
x + x + 15.50 + 2x = 65.50
Add like terms
4x + 15.50 = 65.50
Subtract 15.50 from both sides
4x = 65.50 - 15.50
4x = 50
Divide both sides by 4
x = 50/4
x = $ 12.50
The amount spent on the first day = $ 12.50
The amount spent on the second day = 12.50 + 15.50 = $ 28
The amount spent on the third day= 12.50 * 2 = $ 25
A blueprint for a house has a scale factor n = 35. A wall in the blueprint is 10 in. What is the length of the actual wall?
29.17 in.
29.17 feet
350 feet
4,200 feet
Answer:
29.17 feet
Step-by-step explanation:
10 x 35 = 350 in. / 12 in/ft = 29.17 feet
The length of the actual wall is 29.17 feet. The correct answer is option B.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
It is given that the blueprint for a house has a scale factor of n = 35. A wall in the blueprint is 10 in.
The length of the actual wall is calculated as:-
L = 10 x 35
L = 350 in. / 12 in/ft
L= 29.17 feet
Therefore, the length of the actual wall is 29.17 feet. The correct answer is option B.
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If Ab = 54, find MC.
Answer:
MC = 45
Step-by-step explanation:
Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values
[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6MC = 270 ( divide both sides by 6 )
MC = 45
The length and width of a book cover are 22.2 centimeters and 12 centimeters respectively. The actual length (and width) can be 0.3 unit less than the measured length (and width) or 0.3 unit greater than the measured length (and width). a. Find the minimum and maximum possible lengths and widths of the book cover. b. Calculate the minimum and maximum possible areas of the book cover.
Part (a)
The length is supposed to be 22.2 cm, but it could be 0.3 cm less
So 22.2 - 0.3 = 21.9 cm is the smallest value for the length. This is the lower bound of the length.
The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.
-------------
Use this for the width as well
The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm
-------------
Answers:smallest length = 21.9 cmlargest length = 22.5 cmsmallest width = 11.7 cmlargest width = 12.3 cm============================================
Part (b)
Use the smallest length and width to get the smallest possible area
smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23
-------------
Repeat the same idea but for the largest length and width to get the largest possible area
largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75
-------------
Answers:smallest area = 256.23 square cmlargest area = 276.75 square cm PLEASE HELP!!!!
The degree of x y 3 + 5 x 2 y − 3 x xy 3 +5x 2 y−3xis 8. True False
Answer:
it's true
Step-by-step explanation:
HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!
Answer:
10 = c
Step-by-step explanation:
Distribute -4 to the parentheses:
8 = 8c - 4(c + 8)
8 = 8c - 4c - 32
Add like terms:
8 = 4c - 32
Add 32 to both sides:
40 = 4c
10 = c
Answer:
Question:
8=8c-4(c+8)
Step-by-step explanation:
8=8c-4c-32
8=4c-32
8+32=4c
40=4c
Or
4c=40
c=10
Which of the following describe an angle with a vertex at A?
Check all that apply.
OA. ZABC
B. ZCAB
C. ZACB
D. ZBAC
Answer:
D) BAC is the correct answer as A is at the middle.
All of the options describe an angle with a vertex at A.
What is a vertex?In geometry, a vertex is a point where two or more lines, curves, or edges meet to form an angle or a corner.
It is the common endpoint of two or more rays, line segments, or sides of a polygon.
We have,
All of the options describe an angle with a vertex at A.
In each option, A is the vertex of the angle.
The letters that come before and after A indicate the other two points that form the angle. So:
∠ABC is an angle with vertex A and points B and C on either side.
∠CAB is an angle with vertex A and points C and B on either side. (Note that the order of the letters is reversed from option A.)
∠ACB is an angle with vertex A and points C and B on either side. (Note that the order of the letters is reversed from option B.)
∠BAC is an angle with vertex A and points B and C on either side. (Note that the letters are in a different order than option A.)
Thus,
All of the options describe an angle with a vertex at A.
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Just need to calculate the area of the shaded region, thanks
Answer:
Area of the shaded region= 82.2 cm²
Step-by-step explanation:
Please see attached picture for full solution.
The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the other trinomial? 2x2 − x − 2 2x2 + x + 6 4x2 + 21x + 6 4x2 − 21x – 2
Answer:
[tex]4x^2-21x-2[/tex]
Step-by-step explanation:
Given that:
Difference of two trinomials is [tex]x^2 - 10x + 2[/tex]
One of the two trinomials is [tex]3x^2 - 11x - 4[/tex]
To find:
The other trinomial = ?
Four options are:
[tex]2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2[/tex]
Solution:
Let the two trinomials be A and B.
Given A - B = [tex]x^2 - 10x + 2[/tex]
B = [tex]3x^2 - 11x - 4[/tex]
We have to find the other trinomial A.
A - B = [tex]x^2 - 10x + 2[/tex]
A - ([tex]3x^2 - 11x - 4[/tex]) = [tex]x^2 - 10x + 2[/tex]
[tex]\Rightarrow[/tex] A = [tex]x^2 - 10x + 2[/tex] + ([tex]3x^2 - 11x - 4[/tex])
[tex]\Rightarrow[/tex] A = [tex]4x^2-21x-2[/tex]
So, the correct answer is [tex]4x^2-21x-2[/tex].
Find the area of quadrilateral...
Answer:
Total area = 29.8 sq. units
Step-by-step explanation:
area of each triangle = sqrt(s * (s-a) * (s-b) * (s-c))
to get the value of s, use the semi-perimeter = s = perimeter / 2
Total area = area of triangle ABD + area of triangle ACD
semi-perimeter of ABD = (3.48 + 8.66 + 8.6) / 2 = 10.37
semi-perimeter of ABD = (3.54 + 8.84 + 8.6) / 2 = 10.49
area of triangle ABD = sqrt(10.37 * (10.37-3.48) * (10.37-8.66) * (10.37-8.6))
area of triangle ABD = 14.7 sq. units
area of triangle ACD = sqrt(10.49 * (10.49-3.54) * (10.49-8.84) * (10.49-8.6))
area of triangle ACD = 15.08
Total area = 14.7 + 15.1
Total area = 29.8 sq. units
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? need to know right now ASAP!! –270 cents per week –90 cents per week –87 cents per week –30 cents per week
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
It decreased by 30 cents per week.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The average rate of change is calculated as:
the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)
Rate of change = [tex]\frac{-60 -10 -20}{3}[/tex].
(-60 + -10 + -20 = -90). So, to simplify it:
[tex]\frac{-90}{3}[/tex] = -30
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Incase you are confused:
Since the average rate of change is negative, this means that the stock price has decreased.
Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6
Answer:
[tex]f(x)=x+6 \\[/tex]
Step-by-step explanation:
The transformation is a translation 6 units up.
[tex]f(x)=x+6 \\[/tex]
We can use the parent function f(x)=x, which is a linear function to graph this function.
Then just translate the function 6 units up.
Answer:
on the x-axis to the left -1 and on the y-axis up 4
Step-by-step explanation:
Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.
To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1
so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1
step 1 go up 6 times y-axis
step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right
It was 100% when I did it
BRAINLIEST!!
Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5) And this one please!
Select the polynomial that is a perfect square trinomial. 36x2 − 4x + 16 16x2 − 8x + 36 25x2 + 9x + 4 4x2 + 20x + 25
Answer:
(4x + 5)²
4x² + 20x + 25
Step-by-step explanation:
Step 1: Factor 16x² + 40x + 25
(4x + __)(4x + __)
What multiplies to 25 and adds up to 40 with 4 multiplied as coefficient?
(4x + 5)(4x + 5) or (4x + 5)²
Step 2: Factor perfect square trinomial
36x² - 4x + 16 --> 4(9x² - x + 4) No
16x² - 8x + 36 --> 4(4x² - 2x + 9) No
25x² +9x + 4 --> 25x² + 9x + 4 No
4x² + 20x + 25 --> (2x + 5)(2x + 5) or (2x + 5)² Yes
Answer:
(4x + 5)(4x + 5).
4x^2 + 20x + 25.
Step-by-step explanation:
16x^2 + 40x + 25
= (4x + 5)(4x + 5)
= (4x + 5)^2.
36x^2 − 4x + 16: To be a perfect square trinomial, the factors would have to be (6x + 4) or (6x - 4). Since the value of b is only -4, this is NOT a perfect square trinomial.
16x^2 − 8x + 36: To be a perfect square, factors would have to be (4x + 6) or (4x - 6). Since the value of b is only -4, this is NOT a perfect square.
25x^2 + 9x + 4: To be a perfect square, factors have to be (5x + 2) or (5x - 2). Since b is positive, factors would be (5x + 2)(5x + 2) = 25x^2 + 20x + 4. 20x is not equal to 9x, so this is NOT a perfect square.
4x^2 + 20x + 25: Perfect square would have to have factors (2x + 5) or (2x - 5). b is positive, so factors are (2x + 5)(2x + 5) = 4x^2 + 10x + 10x + 25 = 4x^2 + 20x + 25. This IS a perfect square!
Hope this helps!
Musah stands at the center of a rectangular field.He takes 50 steps north,then 25 steps West and finally 50 on a bearing of 315°. Sketch Musah's movement How far west is Musah's final point from the center? How far north is Musah's final point from the center?
Answer:
The distance of Musah's final point from the center in the west direction is 60.355 steps
The distance of Musah's final point from the center in the north direction is 85.355 steps
Step-by-step explanation:
Given that :
Musah stands at the center of a rectangular field.
He takes 50 steps north, then 25 steps West and finally 50 on a bearing of 315°.
The sketch for Musah's movement is seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far west;
Then d = BC + CD cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex] )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
How far north is Musah's final point from the center?
Let d₁ be the distance of how far North;
Then d₁ = AB + CD sin θ
d₁ = 50 + 50 sin 45°
d₁ = 50 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex] )
d₁ = 50 + 50( 0.7071)
d₁ = 50 + 35.355
d₁ = 85.355 steps
what is (a x b) x c, if a = 11, b = 9, and c = 1? PLEASE HELP!!!
Answer:99
Step-by-step explanation:(11×9)×1=99
Answer:
The answer is 99Step-by-step explanation:
(a x b) x c
a = 11, b = 9, and c = 1
In order to solve substitute the values of a , b and c into the above expression
That's
( 11 × 9) × 1
Solve the terms in the bracket first
99 × 1
We have the final answer as
99Hope this helps you
Combine the radicals. 3√5-8√5+2√5
Answer: [tex]-3\sqrt{5}[/tex]
-3 times the square root of 5
=============================================
Explanation:
Let [tex]x = \sqrt{5}[/tex]
Replace all the root 5 terms with x and we go from
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]
to
[tex]3x-8x+2x[/tex]
From here, combine like terms to get
[tex]3x-8x+2x = -5x+2x = -3x[/tex]
and the last thing to do is replace the x with sqrt(5)
[tex]-3x = -3\sqrt{5}[/tex]
Meaning that,
[tex]3x-8x+2x = -3x[/tex]
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]
In a given set of data, if the variance is 25, what is the standard deviation? *
Explanation: apply the square root to the variance to get the standard deviation
standard deviation = sqrt(variance)
variance = (standard deviation)^2
Based on the variance of the set of data and the definition of standard deviation, the standard deviation here must be 5.
Standard deviation allows us to measure how far apart variables are in a data set.
It is calculated as:
= √Variance
= √25
= 5
In conclusion, the standard deviation is 5 .
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PLEASE ANSWER QUICKLY ASAP
READ THE QUESTION CAREFULLY PLEASE
Answer:
140°
Step-by-step explanation:
total angle of a hexagon is 720. We know already 510°. That leaves 210°. The ratio between the two angles is 2:1, therefore angle CDE is 140° and angle DEF is 70 °
Answer:
140°
Step-by-step explanation:
We know that all of these angles here are part of a hexagon, meaning that their angle measures will all add up to 720°.
We can use what we already know and find what CDE and DEF will add up to.
[tex]145+90+160+115=510\\720-510=210[/tex]
Now, assuming x is the measure of DEF, we can create an equation for this.
[tex]x + 2x = 210\\3x = 210\\x = 70[/tex]
This is the measure of DEF, but it asks for CDE, which is twice the size of DEF. So
[tex]70\cdot2=140[/tex]
We can double check this is right by adding up all the measures.
[tex]145+90+160+115+140+70=720[/tex]
Hope this helped!
How many significant figures does each value contain? 5.6803 kg has significant figures. 0.00047 seconds has significant figures. 0.240 miles has significant figures.
Answer:
5.6803 has five significant figures.
0.00047 has two significant figures.
0.240 has three significant figures.
What are Significant Figures?Significant figures are numbers that are necessary to express a true value.
Place the values in scientific notation.
[tex]5.6803 * 10^{0} = 5.6803\\\\4.7 * 10^{-4} = 0.00047\\\\2.4 * 10^{-1}=0.240[/tex]
Explanation5.6803
The zero that is within 5.6803 is "trapped," meaning it is in between two nonzero digits. Therefore, all five digits are significant figures.
This answer is also already in scientific notation because 5.6803 satisfies the inequality [tex]1 < x < 10[/tex], which decides if a number is correctly written in scientific notation or not.
0.00047
The zeroes that precede the 4 and the 7 are not significant because they are dropped in scientific notation and are not trapped by other nonzero digits. Therefore, only two digits of this value are significant.
0.240
Since the zero at the end of 0.240 is a trailing zero, it is significant along with the 2 and the 4. The zero that precedes these digits and the decimal point is not significant. Therefore, only three digits of this value are significant.
Therefore:
5.6803 has five significant figures.
0.00047 has two significant figures.
0.240 has three significant figures.
85,58,72,85,46,93 mean,mode,range,median
Answer:
mean: 73.2
mode : 85
range:47
median: 78.5
Step-by-step explanation:
85,58,72,85,46,93
first put the numbers in order from least to highest
46,58,72,85,85,93
mean: is the sum of the terms divided by the number of terms
(85+85+72+58+46+93)/6=73.2 ( rounded to the nearest tenth)
mode : is the element that occurs the most: in this case it is 85 occurs twice
range : subtract the minimum data from max. data: 93-46=47
median : is the middle number, in this case it is even so take the middle two numbers and divide by 2: 85+72/2= 157/2=78.5
median = 78.5
The mean value is 73.
The mode value is 85.
The range value is 47.
The median value is 78.5.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
85,58,72,85,46,93
Mean = (85 + 58 + 72 + 85 + 46 + 93) / 6
Mean = 73
Mode is the number that occurs the most times in the set.
Mode = 85.
Range = Highest value - Lowest value.
Range = 93 - 46 = 47.
The Median is the middle value after arranging the set in order.
46, 58,72,85, 85, 93
Median = (72 + 85) / 2
Median = 78.5
Thus,
The means is 73.
The mode is 85.
The range is 47.
The median is 78.5.
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Please help me with this problem. I will give brainliest!
Answer:
centre = (11, 0 ), radius = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - h)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
(x - 11)² + y² = 9 ← in standard form
with (h, k ) = (11, 0 ) and r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3
centre = (11, 0 ) and r = 3
If two of the ordered pairs was removed which two data points will cause the correlation to decrease the most? Select Two points
1) Data point A
2) Data point B
3) Data point C
4) Data point D
Answer:
1. Data point A
4. Data point D
Step-by-step explanation:
In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.
If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.
Therefore, removing data point A and point D would cause the correlation to decrease the most.
Shawn wanted to model the number 13,450 using 13,450 using base-ten blocks how many large cubes, flats, and longs does he need to model the number
Answer:
13 cubes, 4 flats, 5 longs
Step-by-step explanation:
Base-ten is basically just analyzing the place values of each number in the given value.
A cube represents 1,000, a flat represents 100, and a long represents 10.
Looking at the number 13,450, we can see that there are 13 thousands in this (13,000). This means that we will need 13 cubes.
We can also see that there are 4 hundreds in this (400), meaning we need 4 flats.
Also, there are 5 tens in this (50), so we need 5 longs.
Hope this helped!
