Answer:
b.
b.
Step-by-step explanation:
scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.
the only number not following that rule is b (2 positions in front of the decimal point).
4x - 2y = 6
2x - y = 3
are the same line, as we can multiply the second equation by 2 and get exactly equation 1.
so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.
The measures of the exterior angles of a pentagon are x', 38°, 45°,
5x", and 72. Solve for x.
Answer:
Step-by-step explanation:
sum of exterior angles of a polygon=360°
x+38+45+5x+72=360
6x=360-155=205
x=205/6=34 1/6
second question
x+3x+4x+5x+7x=360
20x=360
x=360/20=18
x=18
Explain why |−3| + |9| represents the distance between the points (−3Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5)., −5) and (9, −5).
Answer:
Here we need to use:
[tex]\sqrt{x^2} = |x|[/tex]
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between:
(-3, -5) and (9, -5) is just:
[tex]D = \sqrt{(-3 - 9)^2 - (-5 - (-5))^2} \\\\D = \sqrt{(-3 - 9)^2} = |-3 - 9|[/tex]
because both numbers inside the absolute value, we can rewrite it as:
|-3 - 9| = |-3| + |-9| = |-3| + |9| = 12
So, by finding the distance between (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.
Answer:
under
Step-by-step explanation:
The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).
exterior angle equation is 3p-15 interior angles are p and p+15
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
The price of a laptop was first increased by 10% and then the new price was decreased by 20%. The final price was what percent of the initial price.
Answer:
88%
Step-by-step explanation:
to initial price (100%) was increased by 10% (resulting in 110% of the initial price).
then these 110% were decreased by 20%.
so, the final price is actually 80% of 110% of the initial price
20/100 = 1/5
80/100 = 4/5
so, the customer pays only 4/5 of the 110% price.
110 × 4/5 = 22 × 4 = 88%
so, the final price was 88% of the initial price
How do I find the m and b from number 1 and what would the area be for 2
Answer:
Step-by-step explanation:
compare with y=mx+b
m=-1
b=4
(b)
area of triangle=1/2×4×4=8 square units.
help asap plsss ----------------------
Answer:
g(x) = |x-7|+4
Step-by-step explanation:
If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.
The vertex is at points (7,4)
4=|7-7|+4 : 4=4.
could i please get some help? this is due today!! ill give 25 points and brainliest!!!
Answer:
80 square units
536.6 [tex]cm^{2}[/tex]
Step-by-step explanation:
First one.
2 Trapezoids
A = [tex]\frac{(base_{1} +base_{2}) }{2}[/tex] x h
A = [tex]\frac{10 + 6}{2}[/tex] x 2
A = 16
One rectangle
A = b x h
A = 6 x 8
A = 48
Total Area = 16 + 16 + 48 = 80
Second one:
Two triangles:
A = [tex]\frac{(b)(h)}{2}[/tex]
A = [tex]\frac{10(8.66)}{2}[/tex]
A = [tex]\frac{86.6}{2}[/tex]
A = 43.3
One large rectangle
A = b x h
A = 30 x 15
A = 450
Total Area = 450 + 43.3 + 43.3 = 536.6
Answer:
A=80
Step-by-step explanation:
A=1/2(6+10)2
A=16(2)
A=32
A=8x6
A=48+32
A=80
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
x = 50.6
Step-by-step explanation:
Which polynomial function has a root of 1 with
multiplicity 2 and a root of 6 with multiplicity 1?
Of(x) = (x - 1)(x – 6)
O f(x) = 2(x - 1)(x – 6)
O f(x) = (x - 1)(x - 1)(x – 6)
O f(x) = (x - 1)(x - 6)(x-6)
Answer:
The 3rd:
f(x) = (x - 1)(x - 1)(x – 6)
Step-by-step explanation:
Its roots are the x-values for which f(x)=0, that are:
x1=1
x2=1
x3=6
2/3 ÷ 8/9 step by step explanation...
Answer: 3/4 is the answer.
Step-by-step explanation:
(2/3)/(8/9)
(doing reciprocal)
2/3 * 9/8
= 18/24
= 6/8
= 3/4
Answer:
3/4
Step-by-step explanation:
2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
31.80°
Step-by-step explanation:
In ∆ ABC :-
sin x = BC / AC sin x = 39/74 x = sin -¹ ( 39/74) x = 31.80 °h (t) = -10t + 6
h ( ? ) = -44
I'm looking for the T that goes in the parenthesis
This is from Algebra 1 - Khan Academy, Unit Functions
Answer:
[tex]{ \tt{h(t) = - 10t + 6}} \\ - 44 = - 10t + 6 \\ - 10t = - 50 \\ t = 5[/tex]
Answer:
h(5)
Step-by-step explanation:
Equate - 10t + 6 and - 44 and solve for t
- 10t + 6 = - 44 ( subtract 6 from both sides )
- 10t = - 50 ( divide both sides by - 10 )
t = 5 , that is
h(5) = - 44
Show how you arrived at your answers.
Kenzie says that x? + 25 can be factored into (x + 5). Ariana says that
it cannot. Who is correct? Explain your answer.
Step-by-step explanation:
if that's x^2+25
they can be factored to x+5
because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25
Change 18° into sexagesimal seconds.
Answer:
She's, "HOT"!
Step-by-step explanation:
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease
Answer:
b. remains unchanged
Step-by-step explanation:
Formula for standard error of mean is;
SE = σ/√n
From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.
Now, we are given that;
random sample; n = 100
Standard deviation; σ = 1
Thus;
SE = 1/√100
SE = 1/10
Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.
Thus, SE remains unchanged.
Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.
Answer:
32, 34
Step-by-step explanation:
The answer must be grater than 30 so 30 is not an option the integers in the range are 31, 32, 33, and 34 the only even integers in this set are 32, and 34. Hope this helps. :)
What is the Measure of arc XY?
Answer:
Arc XY = 180- 43
= 137º
answer is C
Step-by-step explanation:
Given y = f(u) and u=g(x), find =f(g(x))g'(x) for the following functions.
dx
y = cos u, u = 4x - 3
dy
dx = f'(g(x))g'(x) = 0
Answer:
-4sin(4x-3)
Step-by-step explanation:
Given y = cos u, u = 4x - 3
dy/dx = dy/du * du/dx
dy/du = -sinu
du/dx = 4
dy/dx = -4sinu
since u = 4x - 3
dy/dx = -4sin(4x-3)
Find the lenght of x
Answer:Answer in on Attached photo.
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Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?
Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I've found that the equation is:
6x + 7 = 3x - 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let's solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x - 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x - 3x = -5 - 7
solving these, we get:
(6 - 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only
Which numbers are the means of the proportion shown
[tex]\bold{{Answer}}[/tex]
B.2.And30
What is the means of a proportion?
1 : harmonious relation of parts to each other or to the whole : balance, symmetry. 2a : proper or equal share each did her proportion of the work. b : quota, percentage. 3 : the relation of one part to another or to the whole with respect to magnitude, quantity, or degree : ratio.
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
please correct me if im wrong
Answer:
D
Step-by-step explanation:
Given the proportion
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex]
Then a and d are the extremes of the proportion
and b, c are the means of the proportion
Then for
[tex]\frac{2}{3}[/tex] = [tex]\frac{20}{30}[/tex]
3 and 20 are the means → D
a set of data contains four values. the mode is 5, the range is 3 and the median is 5. the smallest value in the data set is 4. write the numbers in the data set.
Answer:
4,5,5,7
Step-by-step explanation:
The answer is 4,5,5,7
What number is increased by 40% become 28?
a.5 b. 10 c. 15 d. 20
Answer:
d. 20
Step-by-step explanation:
28 ÷ (100%+40%)
= 28 ÷ 140%
= 28 ÷ 1.4 = 20
Answer:
option d
Step-by-step explanation:
Let the number be x
40% of x = 0.40x
Increased by 40% = 28
That is ,
x + 0.40x = 28
1.40x = 28
[tex]x = \frac{28}{1.40}\\[/tex]
[tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]
Therefore, the number is 20
Get to has $12 to out gas in his car if gas costs 3.75 per gallon which ordered pair relating number of gallons of gas x to the total cost of gas
Step-by-step explanation:
12/3.75 = 3.2 a gallon
Question 1 Tell whether this table represent a proportional relationship. Give the constant proportionality.
O yes, k= 2/9
yes, k= 9
O not proportional
Answer:
yes , k = 9
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportion
To find k divide both sides by x
[tex]\frac{y}{x}[/tex] = k
Check each ordered pair in the table
k = [tex]\frac{18}{2}[/tex] = 9
k = [tex]\frac{45}{5}[/tex] = 9
k = [tex]\frac{63}{7}[/tex] = 9
Thus the relationship is proportional with k = 9
The sum of the digits in a 2 digit number is 5. If the number is subtracted by 9 then the digits will be reversed. Find the number. If the tens digit is x then what is the equation?
Answer:
Let ten's place digit =x and unit place digit =y
Number=10x+y
x+y=5 ...(i)
10x+y−9=10y+x
9x−9y=9x−y=1 ...(ii)
from (i) and (ii) we get,
x=3,y=2
∴Number=10×3+2=32.
Step-by-step explanation:
Hope it helps!
Graph the solution of the inequality 3/7(35x-14)<_ 21x/2+3
Answer:
You'll have a closed circle at x = 2, and shading to the left
See the diagram below
=========================================================
Explanation:
The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.
If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.
14*(3/7) = (14*3)/7 = 42/7 = 814*(21/2) = (14*21)/2 = 294/2 = 147So if we multiplied both sides by 14, then we have these steps
[tex]\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\[/tex]
--------------------------
Let's isolate x
[tex]6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\[/tex]
The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.
So either x = 2 or x < 2.
If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).
See the diagram below.
3/4 - 5/8
can someone plz tell answer
Answer: 1/8
Step-by-step explanation:
Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.
Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.
Answer:
both are equal is 0
Step-by-step explanation:
After substituting, the answer is 0 to both
Which ordered pair describes the location of the point shown on the coordinate system below? A.(-2,-1) B.(-1,-2) C.(-1,2) D.(-2,1)
Given:
A point on a graph.
To find:
The location of the point.
Solution:
From the given graph it is clear that the point lies in the third quadrant, it means both coordinates are negative.
The distance between point and y-axis = 1
The distance between point and x-axis = 2
It means, the x-coordinate is -1 and the y-coordinate is -2. So, the location of the given point is (-1,-2).
Therefore, the correct option is B.
