Answers
Explanation:
Step 1:
A triangle equals 180 and we already know two angles so we add 40 plus 45 which equals 85 then subtract 85 from 180 to find the missing angle which equals 95
Step 2: Now since we know the missing angle we use the straight line rule which states:Any straight line equals 180.and under close examination we see the 95 degree angle forms a straight line with the exterior angle so we subtract 95 from 180 and we get 85
Related Questions
Given that a function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6, select the statement that could be true for g.
Answers
The given statement that's true about the function is g(-13) = 20 is true for g.
How to illustrate the function?From the information given, the function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6.
Let's analyze the options that are given in the scenario. g(7) = -1. It should be noted that 7 isn't in our domain. Therefore, this isn't possible.
g(-13) = 29
x = 13 is in our domain and 20 is also is in our range. Therefore, this is true for g.
g(0) = 2.
This isn't true because it is given that g(0) = 2
In conclusion, the given statement that's true about the function is g(-13) = 20 is true for g.
Learn more about functions on:
brainly.com/question/10684895
#SPJ1
-|8-15| what is the answer
Answers
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
what is ordinary numbers
Answers
What is ordinary number?
1 : a number designating the place (such as first, second, or third) occupied by an item in an ordered sequence — see Table of Numbers. 2 : a number assigned to an ordered set that designates both the order of its elements and its cardinal number.
Which expression represents seven less than the product of thirteen times a number, and two squared?
(13x + 22) · 7
7(13x · 22)
7 + 13x + 22
7 + 13x · 22
(13x · 22) − 7
Answers
Seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
How to represent an expression?The expression says seven less than the product of thirteen times a number, and two squared.
Let
the number = x
Hence, the product of thirteen times a number, and two squared is as follows:
13(x)(2²)
Therefore, seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
learn more on expression here: https://brainly.com/question/14172188
#SPJ1
A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE REDUCE TO LOWEST TERMS.
A) A DIAMOND OR A 5 __________
B) A HEART AND A JACK __________
C) A JACK OR AN 8 __________
D) A HEART OR A SPADE __________
E) A RED AND FACE CARD __________
F) A RED CARD OR A QUEEN __________
Answers
Answer:
A. [tex]\frac{17}{52}[/tex]
B. [tex]\frac{17}{52}[/tex]
C. [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
A.
There are 52/4 diamonds in the deck and 4 '5's in the dech of cards
52/4 = 13 + 4 = 17
Therefore, you have a [tex]\frac{17}{52}[/tex] chance of drawing one of those cards.
B.
There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : [tex]\frac{17}{52}[/tex]
C.
There are 4 jacks in a deck of cards and 4 '8's in a deck of cards
Therefore your probability is [tex]\frac{8}{52}[/tex] which simplifies to [tex]=\frac{2}{13}[/tex]
As per brainly guidelines I can only answer 3 questions in one answer
B) 1/52
C) 4/52 + 4/52 = 8/52 = 2/13
D) 13/52 + 13/52 = 26/52 = 1/2
E) 6/52 = 3/26
F) 26/52 + 4/52 - 1/52 = 29/52
Find the coordinates of the image point for S(−11, 2) across y = 1.
Answers
Answer:
(11,0)
Step-by-step explanation:
on the graph, sketch f(x)=x+3 as well as g(x)=x
Answers
Answer:
below
Step-by-step explanation:
Write a quadratic function fwhose zeros are 2 and 8.
f(x) = 0
Answers
f(x) = (x - 2) (x - 8)
Standard Form:
f(x) = x^2 - 10x + 16
A textbook store sold a combined total of 204 math and psychology textbooks in a week. The number of math textbooks sold was three times the number of psychology textbooks sold. How many textbooks of each type were sold?
Answers
153 math textbooks
Let’s let x equal the number of psychology textbooks sold. That means that the number of math textbooks sold would be 3x (3 times x, or the number of psychology textbooks). Knowing the total is 204, we can make an equation that says x (the number of psychology textbooks) plus 3x (the number of math textbooks) equals 204 (the total number of textbooks). We can then combine x plus 3x to make 4x. So we’re left with 4x equals 204. If we divide both sides of the equation by 4 we’re left with x equals 51. So 51 psychology textbooks were sold. We then multiply this number by three to get 153, the number of math textbooks sold.
Let x = number of psychology textbooks
So 3x = number of math textbooks
x + 3x = 204
4x = 204
x = 51 3x = 3(51) = 153
A total of 204 textbooks were sold with 153 math textbooks and 51 psychology textbooks being sold, as the number of math textbooks was three times the number of psychology textbooks.
Given that,
The combined total of math and psychology textbooks sold in a week is 204.
The number of math textbooks sold is three times the number of psychology textbooks sold.
To solve this problem,
Assign variables to represent the number of math and psychology textbooks sold.
Let's say "M" represents the number of math textbooks and "P" represents the number of psychology textbooks.
We know that the combined total of math and psychology textbooks sold is 204,
So the equation be:
M + P = 204 .....(i)
We are also given that the number of math textbooks sold was three times the number of psychology textbooks sold.
In equation form, this can be expressed as:
M = 3P
Now, we can substitute the value of M in terms of P into the equation (i):
3P + P = 204
Combining like terms, we get:
4P = 204
Dividing both sides by 4, we find:
P = 51
So, the number of psychology textbooks sold is 51.
To find the number of math textbooks sold,
Substitute this value back into the equation:
M = 3P
M = 3(51)
M = 153
Therefore, the number of math textbooks sold is 153.
Hence,
153 math textbooks and 51 psychology textbooks were sold.
To learn more about word problem visit:
https://brainly.com/question/29203255
#SPJ4
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $80. Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $4,410. How many lower-priced speaker docks did it sell?
Answers
The lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.
AlgebraCost of higher-priced speaker = $170Cost of lower-priced speaker = $80Number of lower-priced speaker = 4xNumber of higher-priced speaker = xHigher-priced speaker = 170 × x
= 170x
Lower-priced speaker = 80 × 4x
= 320x
Total sales = $4,410
170x + 320x = 4,410
490x = 4,410
divide both sides by 490
x = 4,410 / 490
x = 9
So,
Number of lower-priced speaker = 4x
= 4 × 9
= 36
Number of higher-priced speaker = x
= 9
Therefore, the lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.
Learn more about algebra:
https://brainly.com/question/723406
#SPJ1
please help me with these calculus bc questions
Answers
4. Compute the derivative.
[tex]y = 2x^2 - x - 1 \implies \dfrac{dy}{dx} = 4x - 1[/tex]
Find when the gradient is 7.
[tex]4x - 1 = 7 \implies 4x = 8 \implies x = 2[/tex]
Evaluate [tex]y[/tex] at this point.
[tex]y = 2\cdot2^2-2-1 = 5[/tex]
The point we want is then (2, 5).
5. The curve crosses the [tex]x[/tex]-axis when [tex]y=0[/tex]. We have
[tex]y = \dfrac{x - 4}x = 1 - \dfrac4x = 0 \implies \dfrac4x = 1 \implies x = 4[/tex]
Compute the derivative.
[tex]y = 1 - \dfrac4x \implies \dfrac{dy}{dx} = -\dfrac4{x^2}[/tex]
At the point we want, the gradient is
[tex]\dfrac{dy}{dx}\bigg|_{x=4} = -\dfrac4{4^2} = \boxed{-\dfrac14}[/tex]
6. The curve crosses the [tex]y[/tex]-axis when [tex]x=0[/tex]. Compute the derivative.
[tex]\dfrac{dy}{dx} = 3x^2 - 4x + 5[/tex]
When [tex]x=0[/tex], the gradient is
[tex]\dfrac{dy}{dx}\bigg|_{x=0} = 3\cdot0^2 - 4\cdot0 + 5 = \boxed{5}[/tex]
7. Set [tex]y=5[/tex] and solve for [tex]x[/tex]. The curve and line meet when
[tex]5 = 2x^2 + 7x - 4 \implies 2x^2 + 7x - 9 = (x - 1)(2x+9) = 0 \implies x=1 \text{ or } x = -\dfrac92[/tex]
Compute the derivative (for the curve) and evaluate it at these [tex]x[/tex] values.
[tex]\dfrac{dy}{dx} = 4x + 7[/tex]
[tex]\dfrac{dy}{dx}\bigg|_{x=1} = 4\cdot1+7 = \boxed{11}[/tex]
[tex]\dfrac{dy}{dx}\bigg|_{x=-9/2} = 4\cdot\left(-\dfrac92\right)+7=\boxed{-11}[/tex]
8. Compute the derivative.
[tex]y = ax^2 + bx \implies \dfrac{dy}{dx} = 2ax + b[/tex]
The gradient is 8 when [tex]x=2[/tex], so
[tex]2a\cdot2 + b = 8 \implies 4a + b = 8[/tex]
and the gradient is -10 when [tex]x=-1[/tex], so
[tex]2a\cdot(-1) + b = -10 \implies -2a + b = -10[/tex]
Solve for [tex]a[/tex] and [tex]b[/tex]. Eliminating [tex]b[/tex], we have
[tex](4a + b) - (-2a + b) = 8 - (-10) \implies 6a = 18 \implies \boxed{a=3}[/tex]
so that
[tex]4\cdot3+b = 8 \implies 12 + b = 8 \implies \boxed{b = -4}[/tex].
f(x)=x3 −4x even odd or neither
Answers
Answer:
The function would be odd
The answer is neither.
Let's take an odd number and substitute.
f(3) = 3³ - 4(3)f(3) = 27 - 12f(3) = 15 (odd)Now, let's take an even number.
f(4) = 4³ - 4(4)f(4) = 64 - 16f(4) = 48 (even)Since both even and odd numbers are possible, it is neither.
50% is what percent of 40%?
Answers
Answer:
125%Step-by-step explanation:
[tex] \frac{50}{100} \times 40[/tex][tex] = 125\%[/tex]
You and Jake are studying together and after correctly solving a system of equations using
the substitution method the result is 3 3. Jake does not know how to interpret this
result.
In at least one complete sentence, explain to Jake the number of solutions, solution type,
and how the graph of the system of equations would look
Answers
Answer: its the 3rd one if im wrong im sorry
:3
if a rectangular piece of metal has 27.75 square inches what is the length and width?
Answers
The maximum area of a rectangular piece of metal with perimeter of 27.75 in² has length of 6.9375 in and width of 6.9375 in.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. hence:
Perimeter = 2(x + y)
27.75 = 2(x + y)
y = 13.875 - x
Area (A) = xy
A = x(13.875 - x)
A = 13.875x - x²
Maximum area is at A' = 0, hence:
A' = 13.875 - 2x
13.875 - 2x = 0
x = 6.9375
y = 6.9375
The maximum area of a rectangular piece of metal with perimeter of 27.75 in² has length of 6.9375 in and width of 6.9375 in.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
The sum of a number and seven is six less than four times the number. Write an algebraic equation and solve to find the number.
Answers
Answer:
13/3 or 4.333
Step-by-step explanation:
Let the number be x
the sum of x and 7 is 6 less than 4x, giving the equation: x+7+6 = 4x
Solve:
x+7+6 = 4x
x+13 = 4x
13 = 3x
x = 13/3
What is the range of the function f(x) = 2x^2 + 2 over the interval of -2 ≤ x < 5?
Answers
Answer:
10 ≤ f(x) < 52
Step-by-step explanation:
the range is the values of f(x) given by the domain - 2 ≤ x < 5
substitute the end points of the interval into f(x)
f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10
f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52
then range is 10 ≤ f(x) < 52
Which of the following expressions would simplify to be the multiplicative identity?
023.32
023.23
021
0 20
NEXT QUESTION
ASK FOR HELP
Answers
need help I don't know the answer
Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250
Answers
Mode is if a number appears twice. Like 4 and 4.
A bank ATM system has a pad with 10 digits (0 to 9). Find the number of possible 4-digit pin codes
if digits can be repeated.
if digits cannot be repeated.
a.
1. 10 000 ; 2. 5 040.
b.
1. 5 040; 2. 10 080.
c.
1. 10 000; 2. 210.
d.
1. 3 125; 2. 15 120.
Answers
Answer:
A
Step-by-step explanation:
If digits can be repeated, that means there are 10 options for each place in the pin code. 10*10*10*10 = 10,000
If digits can not be repeated, there are 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit. 10*9*8*7 = 5040
taking test needing answers asap
Answers
Answer:
(4,8)
Step-by-step explanation:
hihihihihihihihohihih
What is the domain of the relation graphed below?
Answers
The domain of the relation shown in the graph is -4 <= x <= 4
How to determine the domain of the relation shown in the graph?The relation on the graph is an ellipse function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -4 <= x <= 4
Hence, the domain of the relation shown in the graph is -4 <= x <= 4
Read more about domain at:
https://brainly.com/question/1770447
#SPJ1
domain of f(x)=(1/4)^x
What is the domain of f(x)
O A. x>0
OB. All real numbers
O C. y>0
O D. x<0
? Need help asap
Answers
Answer: B. All real numbers
Step-by-step explanation:
See attached image.
For what value of x is the rational expression below equal to zero?
X-4
(x+5)(x-1)
IOA. 4
OB. 1
O C. -4
OD. -5
Answers
Answer:
A
Step-by-step explanation:
x - 4 / (x + 5)(x - 1)
let's expand:
x - 4 / x² + 4x - 5
4 - 4 / 16 + 16 - 5 = 0 so answer is 4
You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Your truck can carry a 3/4 -ton load. How many bricks can your truck carry in a full load?
A.
300
B.
307
C.
362
D.
409
E.
483
Answers
Step by step.
We know there are 2000 pounds in a ton. So 3/4 of a ton can be found by multiplying 2000 x 3/4 = 1500. So your truck can carry 1500 pounds.
Now we need to divide 1500 by the weight of each brick to find out how many bricks you can carry.
1500 divided by 4 14/16 (14 over 16 ounces in a pound)
Change the fraction into a mixed fraction 4 x 16 + 14 = 78/16.
1500 divided by 78/16. To divide a fraction flip it and multiply.
1500 divided by 16/78 and multiply across you get 2400/78.
Now divide that to get your total bricks you can carry.
307.69. Since you can’t round up you have a total of 307 bricks.
Answer is B. 307 bricks.
Problem solved!
Find the inverse of function f. F(c) = 9x + 7
Answers
Answer:
(x-7)/9
Step-by-step explanation:
F(c) = 9x + 7
y = 9x + 7 Now switch the y and the x and solve for y
x = 9y + 7 Subtract 7 from both sides
x - 7 = 9y Divide both sides by 9
(x-7)/9
The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company.
Text
Message Instant
Message Phone Call Email Total
0 to 7 years 36 49 8 21 114
8 or more years 12 22 19 43 96
Total 48 71 27 64 210
What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication?
A.
48.84%
B.
20.48%
C.
67.19%
D.
44.79%
Answers
Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:
D. 44.79%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
P = a/b x 100%
In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:
P = 43/96 x 100% = 44.79%.
Hence option D is correct.
More can be learned about percentages at https://brainly.com/question/10491646
#SPJ1
Which expression is equivalent to sec²x - 1?
O A. cot²x
OB. tan²x
OC. CsC²x
OD. cos²x
Answers
[tex]l = sec {}^{2} x - 1 \\ l = \frac{1}{cos {}^{2} x} - \frac{cos {}^{2} x}{cos {}^{2} x} \\ l = \frac{1 - cos {}^{2} x}{cos {}^{2}x } \\ l = \frac{sin {}^{2} x}{cos {}^{2} x} = ( \frac{sinx}{cosx} ) {}^{2} = tan {}^{2} x[/tex]
BWhich answer choice shows that the set of irrational numbers is not closed under addition? π+(-π)=0
1/2+(-1/2)=0
π+π=2π
1/2+1/2=1
Answers
Answer:
(a) π + (-π) = 0
Step-by-step explanation:
You want a counterexample for the statement that irrationals are closed under addition.
Closed setA set is closed under addition if adding members of the set always results in a member of the set.
π + (-π) = 0This shows that adding members of the set can result in a rational number. This is the counterexample you're looking for.
(1/2) + (-1/2) = 0Irrelevant. 1/2 is rational, so is not a member of the set of irrationals.
π + π = 2πAn example of a sum that is an element of the set. This is not a counterexample.
(1/2) +(1/2) = 1Irrelevant. 1/2 is rational, so is not a member of the set of irrationals.
<95141404393>
Which one of the following linear inequalities is graphed in the xy plane above
Answers
The linear inequality that is graphed in the xy plane is: C. 2x + 3y ≤ 4.
How to Write the Linear Inequality of a Graph?Values in the shaded part are the solution of a a linear inequality. Thus, a dotted or dashed line is used on the graph when the inequality sign is either "<" or ">". On the other hand, when a line that is not dotted or dashed is used when the inequality sign is either "≤" or "≥". These lines, dotted or not are the boundary lines.
Also, when the shaded area is above the boundary line, the sign "≥" or ">" is used. When the shaded part is beneath the boundary line, "≤" or "<" is used in the linear inequality.
The graph given has a boundary line that is not dashed or dotted, and also, the shaded part is beneath the boundary line. Therefore, the inequality sign to use is "≤".
Find the slope:
Slope (m) = rise/run = -4/3 / 2 = -4/6
m = -2/3
y-intercept (b) = 4/3.
Substitute m = -2/3 and b = 4/3 into y ≤ mx + b:
y ≤ -2/3x + 4/3
Rewrite
3y ≤ -2x + 4
2x + 3y ≤ 4
The answer is: C. 2x + 3y ≤ 4.
Learn more about inequality on:
https://brainly.com/question/11234618
#SPJ1