I NEED HELP
Which of the following is the difference of 35.6 and 7.43?
A.27.17
B.27.23
C.28.17
D.28.23
Answers
Related Questions
In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.
Answers
Given:
Triangle ABC is similar to triangle XYZ.
In triangle ABC AB=2, BC=4, CA=3.
In triangle XYZ, XY=7, YZ=14, ZX=N.
To find:
The length of ZX.
Solution:
If two triangles are similar, then their corresponding sides are proportional.
Since \(\Delta ABC\sim \Delta XYZ\), therefore
\(\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{CA}{ZX}\)
\(\dfrac{2}{7}=\dfrac{4}{14}=\dfrac{3}{N}\)
\(\dfrac{2}{7}=\dfrac{2}{7}=\dfrac{3}{N}\)
\(\dfrac{2}{7}=\dfrac{3}{N}\)
On cross multiplication, we get
\(2\times N=3\times 7\)
\(2N=21\)
Divide both sides by 2.
\(N=\dfrac{21}{2}\)
\(N=10.5\)
Therefore, the length of side ZX is 10.5 units.
Neal invested $120,000 in stocks and bonds. He earned 18% on his stock investments and 12% on his bond investments. If Neal's combined profits on both types of investments were $17,400, how much did he invest in stocks?
Answers
Answer:
$50,000
Step-by-step explanation:
The given relations can be used to write and solve an equation for the amount invested in stocks.
SetupLet s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...
0.18s +0.12(120,000 -s) = 17,400
SolutionSimplifying the equation, we have ...
0.06s +14,400 = 17,400
0.06s = 3000 . . . . . . . . . . subtract 14,400
s = 50,000 . . . . . . . . . . . . divide by 0.06
Neal invested $50,000 in stocks.
__
Additional comment
The amount invested in bonds was 70,000. The profit earned was ...
0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400
For each of the number lines, write an absolute value equation in the form |x - c |=d,
where c and d are some numbers, to satisfy the given solution set.
Answers
The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6
How to determine the absolute value equation?The solution sets on the number line are given as:
x = {-8, -4}
Calculate the average of the solutions
Mean = (-8 - 4)/2
Mean = -6
Calculate the difference of the solutions divided by 2
Difference = (-4 + 8)/2
Difference = 2
The absolute value equation is the represented as:
|Difference - x | = Mean
Substitute known values
|2 - x| = -6
Hence, the absolute value equation is |2 - x| = -6
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Answer:
|b+6|=2
Step-by-step explanation:
if the arithmetic mean of 8,4,6,x,2,7 is 5 then find the value of x?
Answers
Answer:
This gives us the value of $x$ as 3. Hence the answer is 3.
Step-by-step explanation:
Step-by-step explanation:
if you would arrange it in order and solve you will get 3
g count the worst-case number of operations performed by the following pseudocode segment. assume that all possible data sets are equally likely. preconditions: x
Answers
G count the maximum number of operations that the next pseudocode segment might possibly complete. Assume that the likelihood of all potential data sets is equal. preconditions: x
x(x + 1)/2 = O(x^2)
The pseudocode segment given has two nested for loops. The outer loop is iterating over the variable x, while the inner loop is iterating over variable i. G count the maximum number of operations that the next pseudocode segment might possibly complete. Assume that the likelihood of all potential data sets is equal. Each loop iteration is increasing the variable z by 1. In total, this will result in x*(x+1) / 2 operations being performed. This is equal to O(x^2), which is the worst-case number of operations.
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Two identical trains, each with 31 cars, are traveling in opposite directions. When car Number 19 of one train is opposite car Number 19 of the other, which car is opposite car Number 12?
Answers
Car 12 of Train B is also 12 cars away from Car 19 on Train B.
How to explain the informationSince each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:
31 - 19 = 12
Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.
Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.
In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.
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10) Christopher misses 4% of the free throws
he attempts in a season. How many total
free throws did he attempt if he missed 9?
Answers
Answer:
He attempted 225 free throws.
Step-by-step explanation:
9/0.04= 225
The area of a rectangular closet is 18 square feet. The perimeter is 18 feet. What are the dimensions of the closet?
Answers
Answer:
Height: 6ft
Base: 3 ft
Step-by-step explanation:
Factors of 18 are: 1, 2, 3, 6, 9, 18
18 and 9 are both two big because of perimeter...this rules out 2 and 1 because those are the factor pairs which leaves 6 and 3
Area = bh = 3*6 = 18
Perimeter is adding all the sides twice
(6*2) + (3*2) = 12 + 6 = 18
Area = 18 Correct
Perimeter = 18 Correct
GEOMETRY: Express the volume of each cube below as a monomialNeeded fast!
Answers
Remember that
The volume of a cube is equal to
\(V=b^3\)where b is the long side of the cube
so
Part 19
we have that
\(b=7c^6d^2\)substitute in the formula
\(V=(7c^6d^2)^3\)Applying property of exponents
\(\begin{gathered} V=(7^3)(c^{(6\cdot3)})(d^{(2\cdot3)}) \\ V=342c^{(18)}d^6 \end{gathered}\)Part 20
we have
\(b=6r^7s^8\)substitute in the formula
\(\begin{gathered} V=(6r^7s^8)^3 \\ V=216r^{(21)}s^{(24)} \end{gathered}\)Calculate the peak hour volume for six-15 minute periods with the following volumes: 125, 130, 135, 140, 145, 155
Answers
Answer:
The peak hour volume is 620
Step-by-step explanation:
Here, we want to calculate the peak hour volume
To calculate the peak hour volume, we need some information
Firstly we need to know that a period of 15 minutes refer to 1/4 of an hour
So, the given volume needs to be multiplied by 4 to get the peak hour value
Now back to the values given, we need the highest of them all
As regards the question, the highest of them all is 155
So the peak hour volume here would be 155 * 4 = 620
please help me with this please i need the amswers for today,
Answers
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Answers
Rectangle
Just finished the post test right now.
Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
1. Daniella overdraws her account by $70 and then deposits $100 in the account.
2. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.
3. A lithium ion has 3 positively charged protons and 2 negatively charged electrons.
4. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.
Answers
There are two statements here, showing quantities in real world which are additive inverse of each other :
2. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.
here, we can depict going up as +2 miles and going down the trail as -2
4. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.
And here we can assume going up the ground aa + 2000 ft and going down aa - 2000 ft .
Answer:
The options are (2) and (4).
Step-by-step explanation:
2. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.
→ Up 2 mi (+2) and down 2 mi (-2).
4. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.
→ Here they are, ascends 2000 ft (+2000) and descends 2000 ft (-2000).
3.92 rounded to the nearest tenth
Answers
Answer: 3.9
Step-by-step explanation:
Since the one hundredth digit is below 5 the higher digits will stay as they are.
25x25=625 took the test
Answers
Answer: Correct
Step-by-step explanation:
Geometry, Need help. I will give brainliest
Answers
5x=48
x=48/5= 9 3/5
Answer:
9.6
Step-by-step explanation:
5/8=6/x
5x=48
x=9.6
Solve the inequality below.
2x < 12
Answers
To solve the inequality 2x < 12, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides by 2:
2x < 12
x < 6
Therefore, the solution to the inequality is x < 6. This means that all values of x that are less than 6 satisfy the inequality. We can represent this graphically on a number line:
<=======()------6-------------->
The open circle () indicates that x cannot be equal to 6, but can be any value less than 6. The arrow indicates that the inequality is true for all values of x to the left of the open circle.
In summary, the solution to the inequality 2x < 12 is x < 6.
I'm 15 BTW
Which choice below DOES NOT name of one of the four quadrants of the coordinate plane?
Quadrant Ⅲ
Quadrant Ⅱ
Quadrant Ⅴ
Quadrant Ⅰ
Answers
Answer:
Quadrant V
Step-by-step explanation:
A co-ordinate graph only has 4 quadrants!
The following table lists the coordinates for where Marcia and her friends live. Sort Marcia's friends in order of how far they live from her. List her friend who lives the closest first.
MArcia - (6,11)
Fiona (-2,5)
Laura (8,14)
Jill (1,11)
Oscar (7,-1)
Answers
Answer: Laura, Jill, Fiona, Oscar
Step-by-step explanation: Plot each person out on a graph, then find there distance between Marcia.
This problem refers to a right triangle ABC with C= 90°. Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Answer to the nearest hundredth of a foot. If B=37.56 and a =49.94ft then b
Answers
The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.
First, we can label the triangle as follows:
Side a is opposite angle A,
Side b is opposite angle B,
Side c is the hypotenuse.
Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.
Using the sine function, we have:
sin(B) = opposite/hypotenuse
sin(37.56°) = a/b
Now we can substitute the known values:
sin(37.56°) = 49.94/b
To solve for b, we rearrange the equation:
b = 49.94 / sin(37.56°)
Using a calculator, we find:
b ≈ 80.02 feet.
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What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?
Answers
Answer:
the answer is 3x^2 + 8x + 1
Step-by-step explanation:
(I used x as the variable due to the invalid difference of variables in your question )
To find the correct answer, I had to use polynomial division.
(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)
= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)
= 3 x 2 + 8 x + 1
Students were asked to prove the identity (sec x)(csc x) = cot x + tan x.
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Let's prove that (sec x)(csc x) is equal to cot x + tan x
\(\Longrightarrow \sf (sec(x) )(csc(x))\)
\(\Longrightarrow \sf \dfrac{1}{\cos \left(x\right)\sin \left(x\right)}\)
\(\Longrightarrow \sf \dfrac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)}\)
\(\Longrightarrow \sf \dfrac{\cos ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)} + \dfrac{\sin ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)}\)
\(\Longrightarrow \sf \dfrac{\cos\left(x\right)}{\sin \left(x\right)} + \dfrac{\sin \left(x\right)}{\cos \left(x\right)}\)
\(\Longrightarrow \sf cot(x) + tan(x)\)
Hence student A did correctly prove the identity properly.
Also Looking at student B's work, he verified the identity properly.
So, Both are correct in their own way.
Part BIdentities used:
\(\rightarrow \sf sin^2 (x) + cos^2 (x) = 1\) (appeared in step 3)
\(\sf \rightarrow \dfrac{cos(x) }{sin(x) } = cot(x)\) (appeared in step 6)
\(\rightarrow \sf \dfrac{sin(x )}{cos(x) } = tan(x)\) (appeared in step 6)
what the facters of 18
Answers
☽------------❀-------------☾
Hi there!
~
\(1, 2, 3, 6, 9, 18\)
The factor pairs of 18 are:
\(1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18\)
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
1*18=18
2*9=18
3*6=18
There are no other factors, Hope this helps!!
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
Answers
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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How much commission will George receive for the sale of a $250,000 home if he receives 2 1/2% of the selling price?
Answers
Answer:
625,000
Step-by-step explanation:
250,000 * 5/2 = 625,000
The commission that George will receive for the sale of a \(\$\)250,000, if he receives 2 1/2% of the selling price is $6,250.
What is commission?"A commission is a piece of work that someone is asked to do and is paid for."
Sale is \(\$\)250,000
Converting 2 1/2% in improper fraction is 5/2 %
So, commission will be \(\(2.5*250,000 /100\) = 625,000/100 = 6250
Hence, the commission that George will receive is $6,250.
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Help Please! I've been stuck and options are below!
Answers
Answer:
first question is b second is d
Step-by-step explanation:
Simplify. Leave your answer as a fraction.
Answers
Answer:
3/4, 6/8
Step-by-step explanation:
12/4 is 3. 16/4 is 4, repeat for the other one with the number 3
Answer: 5/3
Step-by-step explanation:
When dividing a fraction by another fraction, you multiply it by the reciprocal
5/2 x 4/6 =20/12 which when simplified is 5/3
Find the average rate of change of f(x) = 7x² - 6 on the interval [4, b]. Your answer will be an expression involving b
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 7x^2-6 \qquad \begin{cases} x_1=4\\ x_2=b \end{cases}\implies \cfrac{f(b)-f(4)}{b - 4} \\\\\\ \cfrac{(7b^2-6)~~ - ~~(7(4)^2-6)}{b-4}\implies \cfrac{7b^2-6~~ - ~~(112-6)}{b-4} \implies \cfrac{7b^2-112}{b-4}\)
\(\cfrac{7(b^2-16)}{b-4}\implies \cfrac{7(b^2-4^2)}{b-4}\implies \cfrac{7~~\begin{matrix} (b-4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(b+4)}{~~\begin{matrix} b-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{7(b+4)}\)
This expression gives the average rate of change of the function over the interval [4, b].
How is rate of change determined?The average rate of change of a function on an interval is equal to the rise (change in the y-value) divided by the run (change in the x-value) over that interval.
For f(x) = 7x² - 6 on the interval [4, b], the average rate of change can be found by calculating the slope of the secant line connecting the points (4, f(4)) and (b, f(b)).
Therefore, the average rate of change of f(x) = 7x² - 6 on the interval [4, b] is:
(7b² - 6 - (7(4)² - 6)) / (b - 4) = (7b² - 28) / (b - 4)
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find the slope and y-intercept.
Answers
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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What is 0.045 x 10-3 in scientific notation?
Answers
0.000045 this is the answer in scientific notation