Answer:
Exterior angle = sum of opposite interior angles
Step-by-step explanation:
Kara wants to buy a game that is on sale. the original price of the game is p, but it is on sale for 30% off the original price. she uses the expression p(i - 0.3) to model the price. which expressions are equivalent to kara's expression? select all correct answers and the answers are
p - 0.3
1 - 0.3p
0.7p
p - 0.3p
1.3p
The expressions equivalent to kara's expression are 0.7p and p-0.3p
How to find discount of original price?Original price = pDiscount = 30%Discount price expression = p(1 - 0.3)
= p - 0.3p
= 0.7p
Check for equivalent expression
p - 0.3
Not equivalent
1 - 0.3p
Not equivalent
0.7p
Equivalent
p - 0.3p
Equivalent
1.3p
Not equivalent
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What is the value of x?
Answer:
130° is the correct value of x.Step-by-step explanation:
In the question, there's an quadrilateral whose sum of all exterior angle is 360°.
140° + 34° + 56° + x = 360°
➝ 230° + x = 360°
➝ x = 360° - 230°
➝ x = 130°
Thus, The value of x is 130°.
In triangle abc, points d and e are the midpoints of and respectively. what are the slope and length of , if the slope and length of are 0.5 and 3.2 units, respectively? a. slope = -2, length = 3.2 units b. slope = 0.25, length = 3.2 units c. slope = 0.5, length = 1.6 units d. slope = -2, length = 1.6 units e. slope = 0.25, length = 1.6 units
The slope and length of segment DE in the given triangle are: 0.5, and 1.6 units respectively.
What is the Slope of Parallel Lines?The slope of lines that are parallel to each other are always the same.
Segment DE is parallel to segment BC in triangle ABC.
Since slope of BC is 0.5, slope of DE would also be: 0.5.
Since E and D are the the midpoints of AC and AB respectively, it means that:
Length of DE = 1/2(length of BC)
Length of DE = 1/2(3.2)
Length of DE = 1.6 units
Therefore, slope of DE is: 0.5
Length of DE is: 1.5 units.
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Answer:
C. Slope = 0.5, length = 1.6 units.
Hope this helps!
Step-by-step explanation:
Find two integers whose sum is 3 and product is -28 ?
Answer:
-4 and 7
Step-by-step explanation:
-4 + 7 = 3
-4•7 = -28
After sitting out of a refrigerator for a
while, a turkey at room temperature (
68°F) is placed into an oven. The oven
temperature is 305°F. Newton's Law of
Heating explains that the temperature of
the turkey will increase proportionally to
the difference between the temperature of
the turkey and the temperature of the
oven, as given by the formula below:
T = Ta + (To − Ta)e-kt
Ta
=
the temperature surrounding
the object
To
=
the initial temperature of the
object
t
=
the time in hours
T
=
the temperature of the object
after t hours
k = decay constant
The turkey reaches the temperature of
108°F after 3 hours. Using this
information, find the value of k, to the
nearest thousandth. Use the resulting
equation to determine the Fahrenheit
temperature of the turkey, to the nearest
degree, after 4.5 hours.
Answer:
The value of k to the nearest thousandth is -0.133
The of the turkey to the nearest degree after 4.5 hours is 186F
Step-by-step explanation:
The price of a notebook is 20% less than the price of a book. By
what percent is the price of the book higher than the price of the
notebook?
HELP
Answer:
125%
Step-by-step explanation:
lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80
Which of the following is an equation of a line perpendicular to the equation
y =3x + 1?
O A. y = 3x + 5
O B. y=x+5
X
3
O C. y = -3x+5
OD. y - 3x+5
O 5
3
NEED HELP PLEASE ANSWER ASAP! (41)
Answer:
41. (2) x² - 3x - 4 =0
Step-by-step explanation:
Question 41
Standard form of polynomial
x² - (sum of roots) + product of roots = 0(2) x² - 3x - 4 =0Answer:
(2) [tex]x^2-3x-4=0[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]ax^2+bx+c=0[/tex]
When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.
So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.
[tex]\implies b=1+-4=-3[/tex]
[tex]\implies ac=1 \cdot -4[/tex]
As there the leading coefficient is 1, [tex]c=-4[/tex].
Therefore, the equation would be: [tex]x^2-3x-4=0[/tex]
Proof
Factor [tex]x^2-3x-4=0[/tex]
Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
The two numbers that multiply to -4 and sum to -3 are: -4 and 1.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies x^2-4x+x-4=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x-4)+1(x-4)=0[/tex]
Factor out the common term [tex](x-4)[/tex]:
[tex]\implies (x+1)(x-4)=0[/tex]
Therefore, the roots are:
[tex](x+1)=0 \implies x=-1[/tex]
[tex](x-4)=0 \implies x=4[/tex]
So the sum of the roots is: -1 + 4 = 3
And the product of the roots is: -1 × 4 = -4
Thereby proving that [tex]x^2-3x-4=0[/tex] has roots whose sum is 3 and whose product is -4.
A board 18 inches long is cut into two pieces in the ratio 1:2. Find the length of each piece.
The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g
Answer:
Complete the following statements.
The functions f and g have the same axis of symmetry.
The y-intercept of f is greater than the y-intercept of g.
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
(3 squared)to the power of 6
Answer:
531,441
Step-by-step explanation:
3^2=9
9^6=531,441
Answer:
[tex] \sqrt{ {2}^{6 } } = 27 if thats what you meant here is another answer{ {2}^{6} = 64[/tex]
HELPPPPPPPPPPPPPPPPpppp
-11+13+ 10x + 2x
I will give you brainliest
Answer:
12x + 2Step-by-step explanation:
-11 + 13 + 10x + 2x =
2 + 10x + 2x =
12x + 2
Answer:
2(6x+1)
Step-by-step explanation:
1. Add the number
-11 + 13 + 10x + 2x
2 + 10x +2x
2.Combine like terms
2 + 10x + 2x
2 + 12x
3.Arrange terms
2 + 12x
12x + 2
4.Common factor
-11 + 13 + 10x + 2x
2(6x+1)
Apples cost $1.60 at the farmers market. They cost
1.5 times as much at the grocery store.
Select all the equations that show the cost of apples at
the grocery store, g.
(Select all that apply.)
g=1.5 1.60
g=1.60 1.5
1.5g = 1.60
g=1.5 1.60
g÷1.5 1.60
Answer:
G = 1.60 x 1.5, G = 1.5 x 1.60, and G ÷ 1.5 = 1.60
Step-by-step explanation:
^ ^
Mrs Tilley Keeps a variety of poultry. This pie chart shows the numbers of What each kind:
27 Geese, 72 Hens, 45 Turkeys and 36 Ducks.
32. What percentage of the poultry are hens?
33. What percentage of the poultry are geese?
34. What fraction of the poultry are ducks?
35. What fraction of the poultry are turkeys?
Answer:
32. 40%
33. 15%
34. 1/5
35. 1/4
Step-by-step explanation:
Question 32
% Hens = No. of hens / Total poultry% Hens = 72 / 27 + 72 + 45 + 36% Hens = 72 / 180 = 2/5% Hens = 40%Question 33
% Geese = No. of geese / Total% Geese = 27/180 % Geese = 3/20% Geese = 15%Question 34
% Ducks = No. of ducks / Total% Ducks = 36/180% Ducks = 1/5Question 35
% Turkeys = No. of turkeys / Total% Turkeys = 45/180% Turkeys = 1/4Answer:
32. 40%
33. 15%
34. 1/5
35. 1/4
Step-by-step explanation:
Given:
27 Geese72 Hens45 Turkeys36 Ducks⇒ Total poultry = 27 + 72 + 45 + 36 = 180
[tex]\sf Percentage = \dfrac{Part}{Whole}\times 100[/tex]
[tex]\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%[/tex]
[tex]\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%[/tex]
[tex]\sf Fraction= \dfrac{Part}{Whole}[/tex]
[tex]\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}[/tex]
[tex]\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}[/tex]
Solve: x/2-3x/4+x/6=(-2)/3
original equation
[tex]\frac{x}{2}-\frac{3x}{4}+\frac{x}{6}=-\frac{2}{3}[/tex]
multiply by lcd
[tex]12(\frac{x}{2})-12(\frac{3x}{4})+12(\frac{x}{6}) =-12(\frac{2}{3})\\\\6x-9x+2x=-8[/tex]
isolate for x
[tex]-1x=-8\\\\x=8[/tex]
verify
[tex]\frac{8}{2}-\frac{3(8)}{4}+\frac{8}{6}=-\frac{2}{3}\\\\4-6+\frac{4}{3}=-\frac{2}{3}\\\\4-2+\frac{4}{3}=-\frac{2}{3}\\\\-\frac{2}{3}=-\frac{2}{3}\\\\LS=RS[/tex]
cycling burns about 4calories each minute.An apple has about 60 calories.About how many minutes would you have to cycle to burn off the calories in an apple?
Step-by-step explanation:
1 min 4 cals
60 cals how many mins?
1min. 60cals
____. × _______ = 15 mins
4cals. ?mins
we simplify the matter by simplifying 60 with 4 and striking out cals... then we will have 15 on the top right and then we multiply 1 and 15 together at the end we add the mark of the answer which is (min).
Which of the following is a valid probability distribution?
Answer:
first one is the valid probability distribution
(1) a) Why is 8x²y + 5x³y² - 2 considered as an expression and not an equation?
Answer & step-by-step explanation:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign. As you can clearly see here, there is no equal sign connecting anything here, thus, it is an expression.
Because for it to be called an equation you need to have the equal symbol (=) comparing two epressions.
Example of expression:
2x - 4y + 14
Example of equation:
-3y - 2 = -2x - 8
⇔ -3y = -2x + 6
⇔ -y = -[tex]\frac{2}{3}[/tex]x + 2
⇔ y = [tex]\frac{2}{3}[/tex]x - 2
Solve 6^x+2 = 10 for x using the change of base formula
Answer:
[tex]x\approx-0.7149[/tex]
Step-by-step explanation:
[tex]\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149[/tex]
Recall that the change of base formula is [tex]\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}[/tex]
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
1) x² + x
2) Check Below.
Explanation:
step 1 = 2 sqauresstep 2 = 6 squaresstep 3 = 12 squaresHence sequence can be created:
2, 6, 12
Find difference:
2, 6, 12
4 6
2
Find Equation:
2a = 2a = 1Then,
3a + b = 4b = 4 -3(1)b = 1Then,
a + b + c = 2c = 2 - 1 -1c = 0So Equation:
ax² + bx + c --- main formulaex² + 1x + 0 x² + x [equation]B)With Step Increasing, The step number multiplies the step number and plus the step number. That is the number of squares.
If k (x) = x^2 and p (x) = k (x) + n, what is the value of n?
The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6
How to determine the value of n?The equations are given as:
k(x) = x^2
p (x) = k (x) + n
From the graph, we can see that the graph of k(x) is shifted down by 6 units.
This means that the equation of p(x) is
p (x) = k (x) - 6
By comparison;
n = -6
Hence, the value of n in p (x) = k (x) + n is -6
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A gym charges membership dues of $25 per month. Part A
Complete the table to show how the total cost in dollars, C, and the
number of months, m, of gym membership are related. What is the cost of the blue section
you can turn this into an equation: [tex]c=25m[/tex], where c is the cost and m is number of months.
solve for blue.
[tex]c=25m\\\\c=25(14)\\\\c=350[/tex]
The blue section costs $350.
A watering can hold 12 1/2 litres.it’s filled 11 times from a tank containing 400 litres.how much water is left in the tank
Answer:
262 1/2 liters
Step-by-step explanation:
Remaining water in tank :
Volume (tank) - 11 x Volume (watering can)400 - 11 x 12 1/2400 - 137 1/2262 1/2 litersAnswer:
262.5 litres
Step-by-step explanation:
Water taken from the tank
⇒ 11 × 12.5 litres = 137.5 litres
Water left in tank
⇒ 400 - 137.5 = 262.5 litres
a truck tire has a diameter of 3 feet how far will the truck travel with 20 rotations of the tire?
Answer:
60 ft
Step-by-step explanation:
3 times 20 is 60 ft so there is your answer
Answer:
C
Step-by-step explanation:
Diameter is 3 feet, and the radius is half the diameter.
Radius = 3/2 = 1.5 feetCircumference
2 × π × 1.53πDistance travelled in 20 rotations
20 x 3π60π ftCWhat is 15 1/3 in radical form?
2/15
15
Answer:
∛15.
Step-by-step explanation:
15^1/3
= ∛15.
A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place
Answer: The answer is v=25.1 cm³
Step-by-step explanation:
b=4
h= 2
r= 4/2 r =2 radius is half of the diameter
V=πr²h
v= π(2)²2
v= 25.132741228718
v=25.1 cm³
David leaves reading at 11 45am. he arrives at cardiff at 1 45pm. david drives at an average speed of 56 miles per hour. work out the distance between bristol and cardiff
Step-by-step explanation:
speed = distance/time
we know the speed and the time (11:45am to 1:45pm = 2 hours).
distance = speed × time = 56 m/h × 2 h = 112 miles
The square to solve the quadratic equation x^2-15x+2=0
The roots of the equation [tex]x^{2}[/tex]-15x +2 =0 are 14.865 and 0.135
What is completing the square method?Completing the square method is one of the methods to find the roots of the given quadratic equation.
Given equation is:
[tex]x^{2}[/tex]-15x +2 =0
Using Completing the Square method we have
[tex]x^{2}[/tex]-15x +2 + [tex](\frac{15}{2})^{2}[/tex] - [tex](\frac{15}{2})^{2}[/tex] =0
Now,
[tex]x^{2}[/tex]-15x + [tex](\frac{15}{2})^{2}[/tex] - [tex](\frac{15}{2})^{2}[/tex] +2=0
or, [tex][x-(\frac{15}{2})]^{2}[/tex] - 225/4 +2 =0
or, [tex][x-(\frac{15}{2})]^{2}[/tex] -217*4 =0
or, [tex][x-(\frac{15}{2})]^{2}[/tex] = 217/4
or, [tex]x[/tex] = [tex]\pm \frac{14.73}{2} + \frac{15}{2}[/tex]
or, [tex]x_1[/tex]= 14.865, [tex]x_2[/tex]= 0.135
Thus, the roots of the quadratic equation are: 14.865 and 0.135
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evauleate 150-(2+x)^3 when x is 2
Answer:
Down below
Step-by-step explanation:
150 - (2 + x)^3
150 - (2 + 2)^3
150 - (4)^3
150 - 64
= 86
I would check my math but I believe this is correct.
Answer:
86
150-(2+x)^3
⇒ x = 2
2 + 2 = 4
4^3(4 • 4 • 4) = 64
150 - 64 = 86