Answer:
[tex]z \leqslant - 2[/tex]
Step-by-step explanation:
1) Add 1 to both sides.
[tex]3z \leqslant - 7 + 1[/tex]
2) Simplify -7 + 1 to -6.
[tex]3z \leqslant - 6[/tex]
3) Divide both sides by 3.
[tex]z \leqslant - \frac{6}{3} [/tex]
4) Simplify 6/3 to 2.
[tex]z \leqslant - 2[/tex]
Therefor, the answer is Option C.
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]
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
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.
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.
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
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
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.
i need help with this !!!!!!!
Answer:
number 1 and 2 r true
Step-by-step explanation:
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
What is the solution to the equation?
1/7g=3/14
Solve for X plz plz plz plz
Answer:
Step-by-step explanation:
B/c they are similar triangles we can set the sides ratio's equal to each other again
7x + 6 / 56 = 78 /91
does it kind of makes sense why I'm able to set those two ratio's equal?
it's the tough part of these problems... understanding why that works
the rest is just algebra.. My calc II professor always told us our algebra sucks. :D he was funny,
anyway, use your mad algebra skilz on the above equation
7x + 6 = 56(78/91)
7x + 6 = 4368 / 91
7x + 6 = 48
7x = 48 - 6
7x = 42
x = 6
:)
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:
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]
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:
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:
(3 points) A marketing research firm wishes to determine if the residents of Caldwell, Idaho, would be interested in a new downtown restaurant. The firm selects a simple random sample of 165 phone numbers from the Caldwell phone book and calls each household. Only 60 of those called are willing to participate in the survey, and 44 participants would support a new downtown restaurant. (a) The sample in this survey is A. all households in the Caldwell phone book. B. all residents of Caldwell. C. the 165 phone numbers chosen. D. the 60 households that participated in the study. E. None of the above. (b) The population of interest is A. all households in the Caldwell phone book. B. the 60 households that participated in the study. C. all residents of Caldwell. D. the 165 phone numbers chosen. E. None of the above. (c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is A. reasonably large due to the ''cluster'' effect. B. 165 divided by the size of the population of Caldwell. C. exactly 0. Simple random sampling will spread out the locations of the phone numbers selected. D. the same as for any other set of 165 phone numbers. E. None of the above.
Answer:
Interest in a new downtown restaurant in Caldwell, Idaho:
(a) The sample in this survey is:
C. the 165 phone numbers chosen.
(b) The population of interest is:
C. all residents of Caldwell.
(c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is:
E. None of the above.
Step-by-step explanation:
Population of interest = residents of Caldwell, Idaho
Sample of the population = 165
Number of willing participants/respondents = 60
Proportion of participants supporting a new downtown restaurant = 44/60 = 73%
According to the distributive property 3(a+b)
Answer:
3a + 3b
Step-by-step explanation:
Find the slope of the line passing through the two points: (1, -2) and (-3, -7)
Answer:
5/4
Step-by-step explanation:
Answer:
slope = 1.25
Step-by-step explanation:
use the formula
m=rise/run or m=[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]
-7-(-2)/(-3)-1
= 5/4 (or 1.25)
hope this helps :)
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
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
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]The degrees of freedom in a t distribution is?
Answer: 7 degrees of freedom.
Step-by-step explanation:
convert 13.025 to base 10
Answer:
Your question is in what base please?
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.
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...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.
a. y=3•3 x
b. y=3 x
c. y=9 x
Answer:B
Step-by-step explanation:
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]
Which graph represents a function with direct variation?
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