Answer:
3
Step-by-step explanation:
3(-1) = 3 × -1 = -32 × 3 = 610 - 5 - 6 = -1-3 × -1 = 3I hope this helps!
Answer:
3
Step-by-step explanation:
3(-1)(10-5-2(3))
Solve 3(-1), equals: -3
-3(10-5-2(3))
Solve -2(3), equals: -6
-3(10-5-6)
10 - 5 = 5
-3(5-6)
5 - 6 = -1
-3(-1) = 3
Do I have the right answer help ?
What is the equation of the line in slope-intercept form?
Answer:
The equation of the line in slope-intercept form is:
y = -1/6x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slope b is the y-interceptGiven the points on the line graph
(0, 4) (6, 3)Determining the slope between (0, 4) and (6, 3)
(x₁, y₁) = (0, 4) (x₂, y₂) = (6, 3)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [6 - 0]
= -1 / 6
Thus, the slope of the line = m = -1/6
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = -1/6 in the slope-intercept form
y = mx + b
y = -1/6x + 4
Therefore, the equation of the line in slope-intercept form is:
y = -1/6x + 4
f is a differentiable function for all x. Which of the following statements must be true?
a. d/dx ∫ f(x)dx=f(x)
b. d/dx ∫ f(t)dt= - f(x)
c. ∫ f′(x)dx=−f(x)
The limits in the integral of the options are missing. They are :
a). [tex]\frac{d}{dx} \int^2_0 f(x)dx = 0[/tex]
b). [tex]\frac{d}{dx} \int^x_2 f(t)dt = 0[/tex]
c). [tex]$\int^x_2f'(x)dx=f(x)$[/tex]
Solution:
We known that
[tex]$\frac{d}{dx}\int^{g(x)}_{h(x)}f(t)dt = f(g(x))\cdot g'(x)-f(h(x))\cdot h'(x)$[/tex]
a). [tex]\frac{d}{dx} \int^2_0 f(x)dx[/tex]
[tex]$=f(2) \cdot \frac{d}{dx}(2) - f(0)\cdot \frac{d}{dx}(0)$[/tex]
= 0 - 0
= 0
Hence it is true.
b). [tex]\frac{d}{dx} \int^x_2 f(t)dt[/tex]
[tex]$=f(x)\frac{d}{dx}(x)-f(2)\cdot \frac{d}{dx}(2)$[/tex]
[tex]$=f(x) \cdot 1 -f(2)\times 0 $[/tex]
= f(x)
Hence it is true.
c). [tex]$\int^x_2f'(x)dx[/tex]
[tex]$\left[f(x)\right]^x_2 = f(x)-f(2)$[/tex]
[tex]$\neq f(x) $[/tex]
Hence it is false.
Therefore option a) and b). are true.
Set up and evaluate an integral for the volume of a right pyramid whose height is 2 and whose base is a square with a side of 1?
Answer:
[tex]\mathbf{ \int^2_0 \dfrac{x^2}{4}. dx = \dfrac{2}{3}}[/tex]
Step-by-step explanation:
The volume of right pyramid whose base is a square is expressed by the formula:
[tex]V = \int^h_o \dfrac{L^2 *y^2}{h^2}. dy \ or \ V = \int^h_o \dfrac{L^2 *x^2}{h^2}. dx[/tex]
Given that:
height h = 2; &
side (l) = 1
Then;
[tex]V = \int^2_0 \dfrac{(1)^2 *x^2}{(2)^2}. dx[/tex]
[tex]V = \int^2_0 \dfrac{x^2}{4}. dx[/tex]
[tex]V =\dfrac{1}{4} \Big [ \dfrac{x^3}{3} \Big ] ^2_0[/tex]
[tex]V =\dfrac{1}{4} \Big [ \dfrac{(2)^3}{3} -0\Big ][/tex]
[tex]V =\dfrac{1}{4} \Big [ \dfrac{8}{3} -0\Big ][/tex]
[tex]\mathbf{V = \dfrac{2}{3}}[/tex]
Oscar has elected to have 23% of his federal income tax withheld as state income tax. If $154.00 was withheld as
federal income tax on his last paycheck, how much will be withheld from his paycheck for income tax in all?
a. $35.42
b. $118.58
C. $177.00
d. $189.42
Answer:
D. 189.42
Step-by-step explanation:
The amount that will be withheld from his paycheck for income tax in all is d. $189.42.
Using this formula
Amount withheld=State income tax+( State income tax× Percentage of federal income tax)
Where:
State income tax=$154.00Percentage of federal income tax=23%Let plug in the formula
Amount withheld=$154.00+($154,00×23%)
Amount withheld=$154.00+$35.42
Amount withheld=$189.42
Inconclusion the amount that will be withheld from his paycheck for income tax in all is d. $189.42.
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The expression 8x +12y represents the sum of Harry and Mike's total monthly wages, where x represents the number
of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the
expression, and what can you conclude from rewriting it in this way?
8(x +1.5y); Harry's hourly wage is 1.5 times Mike's.
8(x +1.5y); Mike's hourly wage is 1.5 times Harry's.
12(x+y)Harry's hourly wage is 8 times Mike's.
8(x+4y); Mike's hourly wage is 4 times Harry's.
Def the second one because think about it this way 1.5 x 8 = 12
There's your answer
Answer:
b
Step-by-step explanation:because i searched it up
A triangle has two 90° angles and a side 12 centimeters in length.
Select True or False for each statement about this type of triangle.
Answer:
False for the first one
true for the second
true for the last
Step-by-step explanation:
The triangle with 2 angles as 90° is not possible and the statement is false
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ∠ABC
Now , the measures of the angles of the triangle are
A triangle has two 90° angles and a side 12 centimeters in length
So , ∠ABC = ∠BAC = 90°
And , For a Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Therefore , a triangle cannot be formed with 2 angles as 90°
Hence , the statement is False
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if three points are coplanar, they are also collinear true or false
Answer:
no
Step-by-step explanation:
three points can exist on three different lines and still reside in the same plane
Write the following number in
standard form (decimal).
2.6 x 10-6
Answer:
[tex]0.0000026[/tex] is the required decimal form of the given number.
Step-by-step explanation:
Given that,
A number: 2.6 x 10⁻⁶
We need to write this number in standard form.
[tex]2.6\times 10^{-6}=2.6\times \dfrac{1}{10^6}\\\\=\dfrac{26}{10}\times \dfrac{1}{10^6}\\\\=0.0000026[/tex]
So, the required decimal form of the given number is [tex]0.0000026[/tex].
Match the graph with the correct equation.
Answer:
y = 1.2x + 1.5
Step-by-step explanation:
Formula: y = mx + b
m = slope
b = y-intercept
The y-intercept is at "1.5"
slope = y/x or rise over run
r/r = 6/5 = 1.2
Slope is 1.2
Equation form....
y = 1.2x + 1.5
And the slope is positive since the line is increasing
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Write 16 cookies to 30 brownies as a ratio in simplest form. Use a ":" in your answer.
please help me!
Answer:
8 : 15Step-by-step explanation:
Ratio of cookies to brownies:
16 : 30 = simplify by reducing both numbers twice (the only common factor)8 : 15Answer:
8:15Step-by-step explanation:
16:30 simplify by reducing both numbers twice
Which of the following conversion ratios would you use to convert 37 feet to inches?
A. 12in /1ft
B. 1ft /12in
C. 12ft /1in
D. 1in/ 12ft
Which answer is correct?
Answer:
a
.........................
Answer:
Maybe C. 12ft/1in
Step-by-step explanation:
Factor 15x + 35 using the GCF.
A. 5(3x + 7)
B. 5(3x + 35)
C. 15(x + 2)
D. 7(2x + 5)
Answer:
A
Step-by-step explanation:
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Please help see the picture
Step-by-step explanation:
Area of Figure
= Area of Parallelogram + Area of Semicircle
= (26)(13) + 0.5π(24/2)²
= 338 + 72π
= 564.2.
Answer:
Area of the figure :---
Area of the parallelogram+area of the semicircle
(26×13)+(1/2)π(12)²
=338+72π
=338+226.2
=564.2 square unit
564.2 square unit is the right answer.PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!
Answer: I think your answer would be B. 1/9
I hope it's right
Answer:
b
Step-by-step explanation:
I dont understand why the total didnt go down since u kept the 5 but it probably b
If M is the midpoint of segment CD with CM = 3x + 1 and MD = 8x - 24, find CD.
Plz help ASAP question is on picture
Use the ALEKS calculator to write 15/17 as a decimal rounded to the nearest tenth
Answer:
15/17 is 0.88.
and rounded to the nearest tenth is 0.9
have a good day! c:
Rewrite the equation by completing the square 2x^2-20x=x^2-19
Answer:
x = -1, 19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0FactoringMultiple RootsCompleting the Square: -b/(2a)Step-by-step explanation:
Step 1: Define
2x² - 20x = x² - 19
Step 2: Solve for x
[Subtraction Property of Equality] Subtract x² on both sides: x² - 20x = -19Complete the Square [Addition Property of Equality]: x² - 20x + 100 = -19 + 100[Complete the Square] Simplify: (x - 10)² = 81[Equality Property] Square root both sides: x - 10 = ±9[Addition Property of Equality] Add 10 on both sides: x = 10 ± 9Evaluate: x = -1, 19Answer:
Equation: (x - 10)² = 81
Soulotion: x = 10 + 9
Step-by-step explanation:
I tried it on khan academy
i Ready
Write and Evaluate Algebraic Expressions - Instruction --- Level F
) Ty runs his own landscaping business. He earns $30 per hour pulling weeds, $25 per
hour raking leaves, and $20 per hour cutting the grass. Ty wants to know how much
he earns each week.
Which expression represents the total amount Ty earns for p hours pulling weeds,
r hours raking leaves, and c hours cutting the grass?
30p +251 +20c 30 + 25 + 20 30p - 25r - 20c 30p. 25r. 200
Please help
Answer:
30p+25r+20c
Step-by-step explanation:
to find the amount ty earns for each job multply his hourly rate by the number of hurs he works doing each job. the find the total
Pls HeLP ASAP WILL GIVE BRAINLIEST
Answer:
the first choice
Step-by-step explanation:
she gets 13 more $ so x would have to be the brothers amout
2y=-x+9
3×-6y=-15 whats the solution to the system
Answer:
Step-by-step explanation:
2y = -x +9
3x - 6y = -15
The solution is the value of x and y that will make the two equations true in the same time.
3x-6y = -15; divide both sides by 3
x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal
x-(-x+9) = -5; open parenthesis
x+x-9 = -5 ; add 9 to both sides and combine like terms
2x = -5 +9; 2x = 4; divide both sides by 2
x= 2
Substitute x for 2
2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5
Solution is (2, 3.5)
Answer:
(2, 7/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2y = -x + 9
3x - 6y = -15
Step 2: Rewrite Systems
2y = -x + 9
[Division Property of Equality] Divide 2 on both sides: y = -x/2 + 9/2Step 3: Redefine Systems
y = -x/2 + 9/2
3x - 6y = -15
Step 4: Solve for x
Substitute in y: 3x - 6(-x/2 + 9/2) = -15Distribute -6: 3x + 3x - 27 = -15Combine like terms: 6x - 27 = -15[Addition Property of Equality] Add 27 on both sides: 6x = 12[Division Property of Equality] Divide 6 on both sides: x = 2Step 5: Solve for y
Define original equation: 2y = -x + 9Substitute in x: 2y = -2 + 9Add: 2y = 7[Division Property of Equality] Divide 2 on both sides: y = 7/2What is the total area, in square meters, of the shaded sections of the trapezoid below?
Please
Help test
See the picture
Answer:
Area = 110.88 m²
Step-by-step explanation:
Total area = area of the two triangles + area of the rectangle
Total Area = ½bh + L*W × ½*by
= ½*7*7.2 + 7.6 × 7.2 + ½*8.6*7.2
= 25.2 + 54.72 + 30.96
Total Area = 110.88 m²
how to simplify?
-6/h = -3
Answer:
h = 2
Step-by-step explanation:
[tex]-\frac{6}{h}=-3\\\\(-\frac{6}{h})h=-3h\\\\-6=-3h\\\\\frac{-6=-3h}{-3}\\\\\boxed{2=h}[/tex]
Hope this helps.
What is the value of -3/4-(-3/8)
a. -1 1/8
b. -3/8
c. 3/8
d. 1 1/8
pls pls pls help
Select the correct answer
What is the end behavior of the radical function represented by this graph?
The end behavior of the radical function represented by this graph is As x decreases in value , f(x) increases in value , as x increases in value , f(x) increases in value , Option A is the correct answer.
What is a Function ?A law that relates a dependent and an independent variable is called a Function.
The graph with a function is given
The end behavior has to be predicted
It can be seen from the graph that
as x decreases , as x value is going to negative the value of y is decreasing and going from positive to zero
as x is increasing , The value of y is increasing
Therefore , Option A is the correct answer.
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Express the sum of 1.202 x 10^3 and 3.45 x 10^2 in scientific notation.
Answer:
4.1469 x 10^5
Step-by-step explanation:
multiply the coefficients and add the exponents
1.202 x 3.45 = 4.1469
10³ x 10² = 10^5
(2. What do two equivalent expressions
always have in common?
A the same value
B the same variables
C the same constants
D Both have an equal sign.
A backpack that normally sells for 400 dollars is on sale for 33 percent off. Find the new sale price
Answer:
268
Step-by-step explanation:
400 - 0.33 * 400 = 268
Berry delicious is a popular shop that sells the shop used 60% more strawberries than the previous year when it used 3,090 kilograms how many strawberries did berry delicious use this year
Answer:
4,944 kg of strawberries
Step-by-step explanation:
In order to know the amount of strawberries Berry Delicious used this year, you have to know how much is 60% of 3,090 kg of strawberries. You can solve this by multiplying 3,090 by 60%.
Let's solve.
3,090 kg x 60% (0.60) = 1,854 kgNext, we have to add 1,854 kg to 3,090 kg.
3,090 kg + 1,854 kg = 4,944 kg of strawberriesTherefore, Berry Delicious used 4,944 kg of strawberries this year. This is 1,854 kg more than last year's.
