Answer:
Step-by-step explanation:
[tex](3a^{2} + 6b - 4) + (5a^{2} + 8b + 5)[/tex]
[tex]3a^{2} + 6b - 4 + 5a^{2} + 8b + 5[/tex]
Let's group the terms based on their polynomial:
[tex]a^{2}(3 + 5) + b(6 + 8) + (-4 + 5)[/tex]
[tex]8a^{2} + 14b + 1[/tex]
The degrees of freedom in a t distribution is?
Answer: 7 degrees of freedom.
Step-by-step explanation:
Given the polynomial f(x) = 3x ^ 3 - 4x ^ 2 - 3x - 1 what is the smallest positive integer a the Intermediate Value Theorem guarantees a zero exists between 0 and a? Enter an integer as your answer . For example , if you found a = 8 you would enter 8. Provide your answer below .
9514 1404 393
Answer:
2
Step-by-step explanation:
You need the smallest positive integer for which f(x) > 0.
f(1) = 3 -4 -3 -1 = -5
f(2) = ((3·2 -4)2 -3)2 -1 = (4 -3)2 -1 = 1
x = 2 is the smallest integer for which f(x) > 0.
Which graph represents a function with direct variation?
Dora opens a savings account with $55 that earns 7% interest per
year, not compounded.
How much interest, to the nearest cent, will Dora earn in 7 years?
Give your answer in dollars.
Will mark BRAINLIST
Answer:
$81.95
Step-by-step explanation:
0.07 * 55 = 3.85
(3.85 * 7) + 55
26.95 + 55
81.95
Diana has $2.00 in dimes and nickels. She has a total of 26 coins. How many of each kind does she have?
Answer:
Diana has 14 dimes and 12 nickels
Step-by-step explanation:
Create a system of equations, where d is the number of dimes and n is the number of nickels:
d + n = 26
0.1d + 0.05n = 2
Solve by elimination by multiplying the top equation by -0.1:
-0.1d - 0.1n = -2.6
0.1d + 0.05n = 2
Add these together, then solve for n:
-0.05n = -0.6
n = 12
So, she has 12 nickels. To find the number of dimes, subtract 12 from 26, since there were 26 coins in total and we found that she had 12 nickels.
26 - 12
= 14
So, Diana has 14 dimes and 12 nickels
HELPPP HELPP
The cost of a keyboard (k) is $40 less than the cost of a printer (p). Which of these equations could model this fact?
Answer: printer cost > Keyboard cost ($40)
Step-by-step explanation:
Answer:
k = p - 40
Step-by-step explanation:
the word "is" is the same as equal so k =.... $40 less than p which could be written as p - 40 therefore k = p - 40
Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month
Question:
Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month.
Cell Phone $65
Food $___
Entertainment $95
College Savings $200
Car Expenses - Gas, Insurance $160
Answer:
[tex]Food = \$80[/tex]
Step-by-step explanation:
Given
[tex]Income = \$600[/tex]
Required
How much should be spent on food
This is calculated as:
[tex]Income = Food + Other\ budgets[/tex]
Where:
[tex]Other\ budgets = Phone + Ent + College + Car, Gas[/tex]
[tex]Other\ budgets = \$65 + \$95 + \$200 + \$160[/tex]
[tex]Other\ budgets = \$520[/tex]
So, we have:
[tex]\$600 = Food + \$520[/tex]
[tex]Food = \$600 - \$520[/tex]
[tex]Food = \$80[/tex]
Answer:
C $80 can be spent on food.
Answer choices
4/5 mm2
2/25 mm2
1/25 mm2
It’s not the first answer
Answer:
¹/25 mm²
Step-by-step explanation:
Area of a square = s²
Where s is the length of one side
using the diagram given,
s = ⅕ mm
Area = (⅕)²
Area of the square = ¹/25 mm²
convert 13.025 to base 10
Answer:
Your question is in what base please?
The point A(6,-4) is reflected over the point (0,0) and its image is point B. What
are the coordinates of point B?
Answer:
B(-6,4)
Step-by-step explanation:
Basically, it's the same as reflecting it over the origin, so you transform the sign to its opposite and keep the points.
what is 2y is y = -3
Answer:
-6
Step-by-step explanation:
2 x -3 = -6
1 positive and a negative integer multiplied will get a negative answer
98 is 14% of what number?
Answer:
the answer is 13.72
Step-by-step explanation:
tell me if its right
Answer:
700
Step-by-step explanation:
We have, 14% × x = 98
or, 14
100 × x = 98
Multiplying both sides by 100 and dividing both sides by 14,
we have x = 98 ×
100
14
x = 700
If you are using a calculator, simply enter 98×100÷14, which will give you the answer.
Tina's Treats charges a $4.35 fee for each delivery. Which table best represents the relationship between f, the amount made from the delivery fee, and d, the number of deliveries made in a day?
Answer:
Is there any answer choices? If not I would think its 5$
5$
4$
Step-by-step explanation:
What is the solution to the equation?
1/7g=3/14
PLEASE HELPP!!
Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.
(a) 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?
(b) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work
Answer:
Given:
Two trail maps:
Trail on the first map = 8 cm
Trail on the second map = 6 cm
Scale on first map = 1 cm : 2 km
A) What is the scale factor from the map to the actual trail?
For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.
The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm
B) The length of the actual trail is 16 kilometers.
Step-by-step explanation:
In this exercise we have to use the knowledge of distance to calculate the value of the length, like this:
A) 1 cm
B) 16K
some of the information given in the statement was from:
Trail on the first map = 8 cmTrail on the second map = 6 cmScale on first map = 1 cm : 2 kmA) So to calculate the scale, you will need:
[tex]1 cm: 2km\\8 centimeters * 2 kilometers = 16 km\\16 km / 6 cm = 2.67 km : 1 cm[/tex]
B) So from the previous calculations we find the value of the length which is 16 kilometers.
See more about distance at brainly.com/question/989117
Kelvin-Celsius temperature Conversion Equation
K= °C + 273
Krepresents temperature in Kelvin
°C represents temperature in Celsius
The temperature in Kelvin is equal to the the temperature in degrees Celsius plus 273
°F = 1.8 (°C) + 32
°C = °F - 32/ 1.8
2. The fahrenheit is used by what country?
Answer:
The United States of America mostly and maybe Canada
y = cx + d
2y = 10
In the system of equations above, cand d are constants.
For which of the following values of cand d does the
system of equations have no real solutions?
A) c= -6, d = 6
B) C=-5, d=4
C) c= 6, d = 4
D) c = 6, d= 5
The system of equations will have no real solutions for c = -5, d = 4, i.e. option B.
What is system of equations?System of equations is a finite set of equations for which common solutions are sought.
We have,
y = cx² + d .....(i)
And,
2y = 10
⇒
y = 5 .....(ii)
So,
Now,
Comparing equation (i) and (ii),
We get,
cx² + d = 5
Now,
According to the question,
For,
c = -6, and d = 6
i.e.
cx² + d = 5
-6x² +6 = 5
We get,
-6x² = -1
i.e. [tex]x^2 = \frac{1}{6}[/tex]
That means equation have real solution.
Now,
For,
c = -5, and d = 4
i.e.
cx² + d = 5
-5x² + 4 = 5
We get,
-5x² = 1
i.e. [tex]x^2 = \frac{1}{-5}[/tex]
So, For these values of c and d, equation will not have any real solution, because square root can not be negative.
Hence, we can say that the system of equations will have no real solutions for c = -5, d = 4, i.e. option B.
To know more about system of equations click here
https://brainly.com/question/12895249
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You have 100 workers who make $9 per hour that work 40 hours per week, 52 weeks a year. If the minimum wage
increased to $11 per hour, how much extra money will the company pay for these 100 workers?
Answer:
416,000
Step-by-step explanation:
per hour 9*100=900
per week 900*40=36,000
per year 36,000*52=1,872,000
with raise
11*100=1,100
1,100*40=44,000
44,000*52=2,288,000
difference equals
416,000
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATH
Answer:
D.324
Step-by-step explanation:
Answer:
D. 324 Sq in
Step-by-step explanation:
Painted area = area of rectangle + Area of square + Area of triangle
[tex] = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} [/tex]
A =[4/3 -7/-2]
5. Find the determinant of A.
A.-2
B.2
C.29
D. 13
Answer:
Let's solve your equation step-by-step.
a=
4
3
−
7
−2
Step 1: Simplify both sides of the equation.
a=
4
3
−
7
−2
a=
4
3
+
7
2
a=(
4
3
+
7
2
)(Combine Like Terms)
a=
29
6
a=
29
6
Answer:
a=
29
6
Select all the expressions with a product greater to 2/3
Answer:
3.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
Does Daniela Works every day?
Do Daniela Work every day?
Does Daniela Work every day?
Did Daniela Work every day?
4.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
Margarita don't brushes her car
Margarita doesn't brush her car
Margarita doesn't brushes her car
Margarita didn´t brush her car
5.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
Do Camilo and Diana dances in the class?
Do Camilo and Diana dance in the class
Does Camilo and Diana dance in the class?
Do Camilo and Diana dance in the class?
6.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
You don't read a book
You don't reads a book
You doesn't read a book
7.LOOK AND CHOOSE THE CORRECT SENTENCES
INTERROGATIVE
____ he ___ better than you?
(1 Punto)
Does- plays
Does- play
Do- play
Do . plays
8.LOOK AND CHOOSE THE CORRECT SENTENCES
NEGATIVE
It ___ snow in summer.
(1 Punto)
doesn't
don't
9.LOOK AND CHOOSE THE CORRECT SENTENCES
AFFIRMATIVE
My cousin _____ English very well.
(1 Punto)
Speak
Speaking
Speaks
10.LOOK AND CHOOSE THE CORRECT SENTENCES
AFFIRMATIVE
We _____ our bikes
(1 Punto)
Wash
Washes
Washing
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Step-by-step explanation:
help me please it’s due soon
Add them both up and divided by 2, 52+45=97. 97/2 =48.5
Step-by-step explanation:
I really need help with this problem.
9514 1404 393
Answer:
a) line: y = x - 11
b) k = -9
c) AP = BP = √74
Step-by-step explanation:
There are four (4) formulas that are needed for solving this problem.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line between points (x1, y1) and (x2, y2)
M = ((x1 +x2)/2, (y1 +y2)/2) . . . . midpoint of the segment between the points
y -y1 = m(x -x1) . . . . . point-slope equation of a line given point and slope
d = √((x2 -x1)² +(y2 -y1)²) . . . . distance between two points
In addition, you need to know that perpendicular lines have opposite reciprocal slopes.
__
The perpendicular bisector of a segment between two points will be a line with a slope that is the opposite reciprocal of the slope of the segment. That line will go through the midpoint of the segment.
a) The slope of the segment between A(7, -2) and B(9, -4) is ...
m = (-4-(-2))/(9-7) = -2/2 = -1
The midpoint of AB is ...
M = ((7+9)/2, (-2-4)/2) = (8, -3)
The opposite reciprocal of the slope of AB is ...
m = -1/(-1) = 1
Then the point-slope equation of the perpendicular bisector is the line with slope 1 through the point (8, -3):
y -(-3) = 1(x -8)
y = x -11
__
b) Point P on the line has x-value of 2, so the y-value will be ...
k = 2 -11 = -9
Point P has coordinates (2, -9).
__
c) The length of segment AP is given by the distance formula:
d = √((2 -7)² +(-9-(-2))²) = √((-5)² +(-7)²) = √74
The length of segment BP is likewise given by the distance formula:
d = √((2 -9)² +(-9 -(-4))²) = √((-7)² +(-5)²) = √74
AP = √74 = BP ⇒ AP ≅ BP
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y=1+ secx, y =3; about y=1
Answer:
Step-by-step explanation:
[tex]\text{Given that:}[/tex]
[tex]y = 1+ sec(x) \ \ y =3[/tex]
[tex]\text{we draw the graph and the curves intersect at:}[/tex]
[tex]x = - \dfrac{\pi}{3} \ and \ x = \dfrac{\pi}{3}[/tex]
[tex]\text{Applying washer method;}[/tex]
[tex]f(x) _{outer} - g(x) _{inner} --- (1)[/tex]
[tex]V= \int ^b_a A(x) \ dx --- (2)[/tex]
[tex]\text{outer radius = 3 - 1 = 2}[/tex]
[tex]\text{inner radius =}[/tex] [tex]( 1 + sec(x) ) - 1 = sec (x)[/tex]
[tex]A(x) = \pi ((2)^2 -(sec(x)^2) \\ \\ A(x) = \pi (4 - sec^2 (x)) ---- (3)[/tex]
[tex]\text{The volume V =}\int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ A(x) \ dx[/tex]
[tex]V = \int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ \pi (4- sec^2 (x) ) \ dx[/tex]
[tex]V = 2 \pi \int ^{\dfrac{\pi}{3}}_{0}( 4 - sec^2 (x)) \ dx[/tex]
[tex]V = 2 \pi \int ^{\pi/3}_{0} 4 . \ dx - 2 \pi \int ^{\pi/3}_{0} sec^2 (x) \ dx[/tex]
[tex]V = 2 \pi(4) \int ^{\pi/3}_{0} 1 . \ dx - 2 \pi \Big( tan (x)\Big )^{\dfrac{\pi}{3}}_{0}[/tex]
[tex]V = 8 \pi(x)^{\dfrac{\pi}{3}}_{0} - 2 \pi \Big( tan \dfrac{\pi}{3} -tan (0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}-{0}) - 2 \pi \Big( tan \sqrt{3}-(0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}) - 2 \pi \Big( \sqrt{3}\Big )[/tex]
[tex]\mathbf{V = 2 \pi \Big(\dfrac{4\pi}{3}- \sqrt{3} \Big)}[/tex]
According to the distributive property 3(a+b)
Answer:
3a + 3b
Step-by-step explanation:
They’ve had to write five pages for a book report. How many hours would it take him to write it if he wrote 1/6 of the page each hour
can someone pls awnser this
Answer:
Quadratic and Trinomial
Step-by-step explanation:
It has a degree of 2, making it a quadratic. It has 3 terms, so it's a trinomial.
factorise the following :
Answer:
(3x+4b)(a-2y)
Step-by-step explanation:
(3ax-6xy)+(8by-4ab)
3x(a-2y) -4b(-2y+a)
(3x+4b) (a-2y)
Answer:
(a−2y)(3x−4b)
Step-by-step explanation:
3ax−6xy+8by−4ab
⇒3ax−4ab−6xy+8by
⇒a(3x−4b)−2y(3x−4b)
⇒(a−2y)(3x−4b)
Hope it is helpful...Evaluate f′ (1) and f′′ (1): = x√x
--------
3√ 5
Answer:
[tex]\displaystyle f'(1) = \frac{3}{2}[/tex]
[tex]\displaystyle f''(1) = \frac{3}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = x√x
f'(1) is x = 1 for 1st derivative
f''(1) is x = 1 for 2nd derivative
Step 2: Differentiate
[1st Derivative] Product Rule: [tex]\displaystyle f'(x) = \frac{d}{dx}[x]\sqrt{x} + x\frac{d}{dx}[\sqrt{x}][/tex][1st Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f'(x) = \frac{d}{dx}[x]\sqrt{x} + x\frac{d}{dx}[x^{\frac{1}{2}}][/tex][1st Derivative] Basic Power Rule: [tex]\displaystyle f'(x) = (1 \cdot x^{1 - 1})\sqrt{x} + x(\frac{1}{2}x^{\frac{1}{2}-1})[/tex][1st Derivative] Simply Exponents: [tex]\displaystyle f'(x) = (1 \cdot x^0)\sqrt{x} + x(\frac{1}{2}x^{\frac{-1}{2}})[/tex][1st Derivative] Simplify: [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2}x^{\frac{-1}{2}})[/tex][1st Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2x^{\frac{1}{2}}})[/tex][1st Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2\sqrt{x}})[/tex][1st Derivative] Multiply: [tex]\displaystyle f'(x) = \sqrt{x} + \frac{x}{2\sqrt{x}}[/tex][2nd Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f'(x) = x^{\frac{1}{2}} + \frac{x}{2x^{\frac{1}{2}}}[/tex][2nd Derivative] Basic Power Rule/Quotient Rule [Derivative Property]: [tex]\displaystyle f''(x) = \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{(2x^{\frac{1}{2}})^2}[/tex][2nd Derivative] Simplify/Evaluate Exponents: [tex]\displaystyle f''(x) = \frac{1}{2}x^{\frac{-1}{2}} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{4x}[/tex][2nd Derivative] Basic Power Rule: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{(1 \cdot x^{1 - 1})(2x^{\frac{1}{2}}) - x(\frac{1}{2} \cdot 2x^{\frac{1}{2} - 1})}{4x}[/tex][2nd Derivative] Simply Exponents: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{(1 \cdot x^0)(2x^{\frac{1}{2}}) - x(\frac{1}{2} \cdot 2x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Simplify: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(\frac{1}{2} \cdot 2x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Multiply: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(\frac{1}{x^{\frac{1}{2}}})}{4x}[/tex][2nd Derivative] Multiply: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - \frac{x}{x^{\frac{1}{2}}}}{4x}[/tex][2nd Derivative] Simplify: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{x^{\frac{1}{2}}}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f''(x) = \frac{1}{2\sqrt{x}} + \frac{\sqrt{x}}{4x}[/tex]Step 3: Evaluate
[1st Derivative] Substitute in x: [tex]\displaystyle f'(1) = \sqrt{1} + \frac{1}{2\sqrt{1}}[/tex][1st Derivative] Evaluate Roots: [tex]\displaystyle f'(1) = 1 + \frac{1}{2(1)}[/tex][1st Derivative] Multiply: [tex]\displaystyle f'(1) = 1 + \frac{1}{2}[/tex][1st Derivative] Add: [tex]\displaystyle f'(1) = \frac{3}{2}[/tex][2nd Derivative] Substitute in x: [tex]\displaystyle f''(1) = \frac{1}{2\sqrt{1}} + \frac{\sqrt{1}}{4(1)}[/tex][2nd Derivative] Evaluate Roots: [tex]\displaystyle f''(1) = \frac{1}{2(1)} + \frac{1}{4(1)}[/tex][2nd Derivative] Multiply: [tex]\displaystyle f''(1) = \frac{1}{2} + \frac{1}{4}[/tex][2nd Derivative] Add: [tex]\displaystyle f''(1) = \frac{3}{4}[/tex]Boris has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails up and the cube lands on an even number?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Chance of tales: [tex]\frac{1}{2}[/tex]
Chance of even number: [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Multiply: ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) = [tex]\frac{1}{4}[/tex]