Answer:
-9.705
Step-by-step explanation:
f-g+(-2)
Let f = -3.005 and g = 4.7
-3.005 -4.7 -2
-9.705
5-7
To rationalize the denominator of
9- 114 · you should multiply the expression by which fraction?
o
5+
g-ſ14
9-14
9-14
9+ 14
9+
14
14
14
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
follow the rule
[tex]\\ \sf\longmapsto \dfrac{a+b}{c-d}[/tex]
To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator
Like
[tex]\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}[/tex]
Here correct option is C
Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.
Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY
Answer:
C. The distance is the absolute value of the difference.Step-by-step explanation:
See the table made based on the given values.
It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.
So we can say that:
distance = |a - b|Correct choice is C
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞
Answer:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have;
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5
The correct option is therefore, F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Answer:
A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
Step-by-step explanation:
8. Solve the following triangle for all missing sides and angles.
Part I: Find the measure of angle B. (1 point)
Part II: Use the law of sines to find the length of side a. (2 points)
Part III: Use any method to find the length of side c. (2 points)
Answer:
Step-by-step explanation:
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
Which of the following questions are true? Select two that apply.
Answer: A and C
Step-by-step explanation:
The other choices aren't correct because
B. [tex]x^{\frac{4}{5} } =\sqrt[5 ]{x^{4}}[/tex]D. [tex](\sqrt{x^{3} } )^{8}=(x^{\frac{3}{2} } )^{8}=x^{\frac{24}{2} } =x^{12}[/tex]Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
find the missing side
Answer:
x ≈ 14.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )
x × tan73° = 48 ( divide both sides by tan73° )
x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )
HELP ANSWER ASAP. what is the radius of a circle in which a 30 arc is 2pi inches long?
Answer:
I believe it's 12 in.
Step-by-step explanation:
hope this helps you!
Determining a Local Maximum and Minimum
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___
Answer:
x=-1x=-3Step-by-step explanation:
Algebra level
Find the volume of the water tank shown.
Depth: 1.8 m
Diameter : 2.4m
Volume = ? m3 (nearest m3)
Answer:
Step-by-step explanation:
r = d/2
r = 2.4 m/2 = 1.2
h = 1.8
pi = 3.14
Volume = pi * r^2 * h
Volume = 3.14 * 1.2^2 * 1.8
Volume = 8.139
Volume = 8 to the nearest m^3
The weekly wages of employees of Volta gold are normally distributed about a mean of$1250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying 1) between $1320 and $970 2) over $1290 3) under $1400
Answer:
1) 0.7104 = 71%
2) 0.6615 = 66%
3) 0.8944 = 89%
Step-by-step explanation:
1)
Z(low)=-2.333 0.009815329
Z(upper)=0.583 0.720165536
2)
Z(low)=0.333 0.63055866
Z(upper)=8322.908 1
3)
Z(low)=-10.417 0
Z(upper)=1.25 0.894350226
hi pls help. pls explain a bit thank you:)
Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h
Answer:
A. 132 + 22h > 264
Step-by-step explanation:
Hourly sales = 22 glasses of fruit punch
Sales by 4 p.m = 132 glasses
Goal = more than 264 glasses
h = number of hours they must stay open to make their goal
The inequality:
132 + 22h > 264
22h > 264 - 132
22h > 132
h > 132/22
h > 6 hours
This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours
find the missing side of the triangle
Answer:
197 is the missing side of the triangle
find the measure of the missing angles in the kite
Answer:
Step-by-step explanation:
In a kite, the angles between the two non- congruent side have the same degree.
x = 114 degrees
In a quadrilateral the sum of the inner angles is 360 degrees
88 + (114 * 2) + y = 360
88 + 228 + y = 360
316 + y = 360
y = (360 - 316)
y = 44 degrees
Please Help
Select the correct answer.
What is the slope of a line parallel to line r?
A. A line parallel to line r has an undefined slope.
B. 0
C. -1
D. 1
Answer:
B 0
Step-by-step explanation:
r is a horizontal line
horizontal lines are of the form y= constant
The slope for horizontal lines are 0
Parallel lines have the same slope.
Answer:
B 0
Step-by-step explanation:
the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is _____ cm.
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.
Answer: Perimeter = 10.5 cm
Step-by-step explanation:
Concept:
Here, we need to know what is an equilateral triangle.
An equilateral triangle is a triangle in which all three sides have the same length.
Perimeter = 3a
a = side length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
a = 3.5 cm
Given formula
Perimeter = 3a
Substitute the value into the formula
Perimeter = 3 (3.5)
Simplify
Perimeter = 10.5 cm
Hope this helps!! :)
Please let me know if you have any questions
please help, i will give brainliest!
Answer:
hope that helps i don't know it either tho
Nicole Tobin receives a salary of $250
per week plus a commission of 15% of all
sales over $1,500. Find her earning
during a week in which sales totaled
$3,000.
Answer:
Earnings = 475
Step-by-step explanation:
She gets a straight salary of 250
She sold 3000 worth of merchandise 3000
She receives a commission on anything over 1500 Subtract
She gets a commission on 1500
15% of 1500 = 15/100 * 1500 225
Earnings 475
In Reba's toy bin there are 15 red blocks. There are 16 more yellow blocks than red blocks. There are also 13 more blue blocks than red blocks. How many blocks are there in all?
Answer:
74
Step-by-step explanation:
16 more than 15 equals 31
13 more than 15 = 28
15 + 31 + 28 = 74
HELP is it a, b, c , or d?
Answer:
B
when you input the first value of y which is -2
-2+2=(4/5)(x+9)
0=(4x+36)/5
multiply both sides by 5
0=4x +36
4x =-36
divide both sides by 4
x=-9
if you like my answer mark as brainliest
I need 26/50 simplified so I can answer an assignment
find the angle measures given the figure is a rhombus.
Answer:
92
Step-by-step explanation:
180-88
I’m really struggling with this problem. Answer with step by step solution is highly appreciated
You can solve this question with this equation:
[tex]A = Pe^r^t[/tex]
plugging in 6 in the t variable:
[tex]A = 30 e^.^3^4^(^6^)[/tex][tex]A = 230.7 million[/tex]
Please see picture for question.
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
Factor 4n4 + n3. find the factor
Answer:
n^3( 4n+1)
Step-by-step explanation:
4n^4 + n^3
2*2*n^3*n + 1*n^3
Factor out the common terms
n^3( 4n+1)
Can you help me out plz
Answer:
An isometry preserves all the following except orientation .
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
pls pls pls pls help me answer quickly
Break it into two shapes, a rectangle that is 7 x 10 x 6
And a triangle with a base of 12-10 = 2 and a height of 7
Volume of rectangle : 7 x 10 x 6 = 420
Volume of triangle: 1/2 x 2 x 7 = 7 x 6 = 42
Total volume = 420 + 42 = 462 cubic centimeters.
Answer: 462
Step-by-step explanation: 7 x 12 x 6 = 504 7 x 10 x 6 = 420
504 - 420 =84 84/2=42
420 + 42=462
