Answer:
103mm or 53mm
Step-by-step explanation:
--A------B------C--
AB=78mm BC=25mm AC=AB+BC=103mm
--A----C---B---
AB=78mm BC=25mm AC=AB-BC=53mm
-B---A---C-
is impossible because BA<BC but 78mm>25mm
Jose paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 18 eggs.
Answer:
$1.68
Step-by-step explanation:
1 dozen is 12.
18 is the same as 12 + 6
6 eggs is half of 12 eggs.
Since 12 eggs cost $1.12, then 6 eggs cost half of $1.12, or $1.12/2 = $0.56.
18 = 12 + 6, so
the price of 18 eggs = the price of 12 eggs + the price of 6 eggs.
price of 18 eggs = $1.12 + $0.56 = $1.68
if the first term is -2 and the rule is multiply by 6 and then subtract 13 whats the 3rd term
Answer:
-163
Step-by-step explanation:
-2,-25,-163
-2×6=-12 -12-13=-25
-25×6=-150 -150-13=-163
Answer:
The third term is = -163
Step-by-step explanation:
The first term is = -2
The second term = -2 ×6 = -12 Then - 13 = - 25
The second term = - 25
The third term = -25 × 6 = - 150 Then -13 = -163
The third term is -163
Mark brainliest
A television has increased in price by 5%
the new price is £194.25. what was the original price?
Answer:
let the original price be X
now new price = original price + increment
increment = 5 % of X = X/20
new price = 194.25
now, 194.25 = X + X / 20 = 21X / 20
X = 194.25 * 20 / 21
X = 185
original price = 185
can someone please help meee
Answer:
-3/5
Step-by-step explanation:
put down the 5,0 and 0,3 then simply start at the 5,0 and count up how many boxes it takes to get to the three then count left how many boxes it takes to get to 0 so...3/5. then look at the line. its going down which means it is negative. so the slope is -3/5
Answer:
y is 3 and x is
Step-by-step explanation:
Rearrange the equation 4-4x-2y=0 into the form of y=mx+c
Answer:
y = -2x+2
Step-by-step explanation:
4-4x-2y=0
4-4x = 2y
2y = 4-4x
y = (4-4x)/2
y = 4/2-4x/2
y = 2 -2x
y = -2x+2
What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4
The value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
We have an expression given as:-
(5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
The mathematical properties we knew
[tex]x^mx^n = x^{m+n}[/tex]
[tex]x^m[/tex]÷[tex]x^n=x^{m-n}[/tex]
So the expressions will be written as:-
(5. 6 . a². a[tex].^k[/tex] .b³ .b = 30a⁶b⁴.
30 ( [tex]a^{2+k}[/tex])([tex]b^{3+1}[/tex]) = 30a⁶b⁴.
Comparing the terms we will get:-
[tex]a^{2+k}[/tex] = a⁶
2 + k = 6
k = 6 - 4
k = 4
Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ1
Alec paid the bill for dinner with his clients which totaled $140 before tax and tip. If an 8 percent sales tax was added to the cost of the meal, and an automatic tip was added in the amount of $25.00, what was the total cost of the dinner?
The total cost of the dinner is $176.20.
What is the total cost of the dinner?The total cost of the dinner is the sum of the bill for the dinner, the tax and the tip.
Total cost = tip + bill of the dinner + tip
Tax = 0.08 x 140 = $11.20
Total cost = $140 + $25 + $11.20 = $176.20
To learn more about taxes, please check: https://brainly.com/question/25311567
#SPJ1
Find p and q if, √3 −1 /√3 +1 = p + q√3
Answer: p=2, q=-1
Step-by-step explanation:
[tex]\frac{\sqrt{3}-1}{\sqrt{3}+1} \left(\frac{\sqrt{3}-1}{\sqrt{3}-1} \right)=\frac{3+1-2\sqrt{3}}{2}=\frac{4-2\sqrt{3}}{2}=2-\sqrt{3}\\\\\therefore p=2, q=-1[/tex]
When a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively. Find the number
Answer:71
Step-by-step explanation:
71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively.
We need to find the number.
In division there are three parts the divider, dividend, quotient, and remainder.
Let us find the LCM of 8,9 and 6
LCM of 8, 9,6 is 72
72-1=71
Hence, 71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results.
2 histograms. A histogram titled weekday traffic has number of cars in line on the x-axis, and frequency on the y-axis. 0 to 10, 4; 10 to 20, 13; 20 to 30, 19; 30 to 40, 8; 40 to 50, 5; 50 to 60, 1. A histogram titled weekend traffic has number of cars in line on the x-axis, and frequency on the y-axis. 0 to 10, 12; 10 to 20, 20; 20 to 30, 14; 30 to 40, 3; 40 to 50, 1.
Using the histograms, which of the following is the correct comparison of the distributions?
The 10–20 interval contains the most observations on both days.
The two distributions for number of cars in line are both skewed right.
The median number of cars for both distributions lies in the 20–30 interval.
There were more than 40 cars in line more often on the weekend than the weekday.
The conclusions are:
The median number of cars for both distributions lies in the 20–30 interval.There were more than 40 cars in line more often on the weekend than the weekday.What is mean and median ?The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list
The median is the middle value in a list ordered from smallest to largest.
Given:
Data A:
0 - 10 4
10 - 20 13
20 - 30 19
30 - 40 8
40 - 50 5
50 - 60 1
Data B:
0-10 12
10-20 20
20-30 14
30-40 3
40-50 1
The median number of cars for both distributions lies in the 20–30 interval.There were more than 40 cars in line more often on the weekend than the weekday.Learn more about this concept here:
https://brainly.com/question/16653179
#SPJ1
The median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.
What is mean and median ?The arithmetic mean is found by adding the numbers and dividing the sum by the number of data in the list.
The median is the middle value in a list ordered from smallest to largest.
Given data:
Data A:
0 - 10 4
10 - 20 13
20 - 30 19
30 - 40 8
40 - 50 5
50 - 60 1
Data B:
0-10 12
10-20 20
20-30 14
30-40 3
40-50 1
Thus, the median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.
Learn more about Mean and Median from:
https://brainly.com/question/17060266
#SPJ1
How do you write a proof for this
Answer: They're equal to each other yes corresponding parts of congruent triangles are equal
Step-by-step explanation:
Which inequalities are true? Select the four correct answers.
O√5<23<√6
O√5<24<√6
O√4<√5<√√55
O√√8 <3<√9
O√8<2.9<√√9
O√4 <45<√√5
The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.
√4<√5<√√55 → 2 < 2.23 < 7.41
√8<2.9<√√9 → 2.82 < 2.9 < 3
Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ1
What are the domain and range of an exponential parent function?
Help please
The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)
How to determine the domain and range of an exponential function
In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:
[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)
(1) is an exponential parent function for A = 1, B = 1 and C = 0.
All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are [tex]\mathbb{R}[/tex] and y ≥ 0, respectively. (Correct choice: C)
To learn more on exponential functions: https://brainly.com/question/11487261
#SPJ1
please help me with this. put the shapes in their correct place on the Venn diagram. Screen shot and edit if you have to.
View the answer in the Venn Diagram below.
A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.
A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry.
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
Learn more about quadrilaterals here-
brainly.com/question/13805601
#SPJ10
−−→AB=(xy)
What values should x an y take?
The values x and y take are 5 and 0 respectively.
We know that in mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way.
The relationships between two or more things are frequently represented by the points on a graph.
In this case, we have to determine the values of x and y.
Notice that in this graph, point A is located at A = 5 and point B is located at B = 0.
So, we can write (A, B) = (x, y) = (5, 0)
Therefore, the values x and y take are 5 and 0 respectively.
Learn more about graphs here -
https://brainly.com/question/27925982
#SPJ10
PLS HELP QUICKLY
f(x)= 3x² + 4x - 6
g(x) = 6x³5x² - 2
Find (f+g)(x).
A. (f+g)(x) = -6x³ +8x² + 4x - 4
B. (f+g)(x) = 6x³ - 2x² + 4x-8
c. (f+g)(x) = 6x³ + 3x²-x-8
D. (f+g)(x) = 9x³-x-8
Answer:
(A) 6x³+8x² + 4x - 4, but only if my change is correct to 6x³5x² - 2 is correct.
Step-by-step explanation:
Is "g(x) = 6x³5x² - 2" meant to be g(x) = 6x³-5x² - 2?
If so, (f+g)(x) = 3x² + 4x - 6 - (6x³-5x² - 2)
(f+g)(x) = 3x² + 4x - 6 - 6x³+5x² + 2
(f+g)(x) = 6x³+8x² + 4x - 4
(A)
Choose all of the following angles that cannot
be an interior angle in a regular polygon.
40° 45° 108° 132° 179°
Answer:
40 45 because the minimum internal angle is 60
step by step please, thank you so much
The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.
The complete question is attached below.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex of the parabola is at (3, 0). Then the equation of the parabola will be
y = (x – 3)² + 0
Then open the bracket, we have
y = x² – 6x + 9
Then the correct option is C.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ1
a jacket is on sale for 30% of and its £42 after discount whats the original price
Answer:
£60
Step-by-step explanation:
70% of original price = £42
100% of original price = £42 * 10/7 = £6 * 10 = £60
For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards.
There are two parallel sidelines on each side of the field. If the 50 yard line is perpendicular to one of the
sidelines, what is its relationship to the other sideline?
Answer:
Same, because they are parallel.
Step-by-step explanation:
Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
1f(x) = x(x-a)²(x - b)4
2f(x) = x(x - a)³(x- b)²
3f(x) = x²(x-a)(x- b)²
4f(x) = x²(x-a)5(x- b)
The polynomial function that could represent the graph is f(x) = x²(x - a)(x - b)² with four turning points
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The maximum number of turning points of a polynomial function is always one less than the degree of the function.
Hence the polynomial represented by the graph is of degree 5 since it has 4 turning points. The polynomial function that could represent the graph is f(x) = x²(x - a)(x - b)²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Another one. Which term best describes the slope of the line below?
find the total surface area of this triangular prism 21cm 29cm 20cm 22cm
Answer:
[tex]\huge\boxed{SA=1960cm^2}[/tex]
Step-by-step explanation:
We have:
2 rectangular triangles with legs 20cm and 21cm3 different rectangles 20cm × 22cm, 21cm × 22cm and 29cm × 22cmThe formula of an area of
a rectangular triangle:[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]
a, b - legs
a rectangle a × b:[tex]A_{\square}=a\cdot b[/tex]
Calculate:
Rectangular triangle
[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]
Rectangles:
[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]
Total surface:
[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]
Si en un autobús hay disponibles solo tres asientos y siete personas están de pie ¿De cuántas maneras distintas podrían ocupar esos asientos?
Usando la fórmula de combinación, se encuentra que hay 35 manerias distintas de ocupar esos asientos.
El orden en que se sientan las personas no es importante, por lo que se utiliza la fórmula de combinación para resolver este problema.
¿Cuál es la fórmula de combinación?[tex]C_{n,x}[/tex] es el número de combinaciones diferentes de x objetos de un conjunto de n elementos, dado por:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
3 personas son selecionadas de un conjunto de 7, por eso, el número de maneras es dado por:
[tex]C_{7,3} = \frac{7!}{3!4!} = 35[/tex]
Puede-se aprender más a cerca de la fórmula de combinación en https://brainly.com/question/25821700
#SPJ1
Hi! 6 questions, find the slope of the line through the given points, ty! They should be practice questions
Answer:
3. undefined (vertical line)
4. 1
7. -4
8. 3
11. undefined (vertical line)
12. -1/3
Step-by-step explanation:
You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)
3. (-4 - (-2)) / (6-6) denominator is 0 here so the slope is undefined (vertical line)
4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1
7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4
8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3
11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line
12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3
The number of DVDs in a random person's home collection is counted for a sample population of 80 people. The mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies. Assuming a 99% confidence level, find the margin of error.
A) 59.4671
B) 2.6296
C) 38.6536
D) 3.4547
In a case whereby the number of DVDs in a random person's home collection is counted for a sample population of 80 people the mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies then the margin of error is 3.46 moves.
How can the the margin of error be calculated?The concept that will be used here is the formular to find the error
E=z∝/2 σ/√ n
n= number of the samples= 80
σ = standard deviation = 12 moves
confidence level = (1-∝) = (1- 0.99) = 0.001
σ/2 = 0.005
Then the looking up for Z value of Z(0.005) = 2.58
E= 2.58 *12/√80
= 3.46 moves.
Therefore, option D is correct.
Learn more about standard deviation at:
https://brainly.com/question/24298037
#SPJ1
Construct a circle through points X, Y, and Z.
The image of the Constructed circle that passes through points X, Y, and Z is given in the image attached.
How is the circle constructed?The steps to construct the circle are:
Step one- Draw 3 circles and the center of each of then is one where one acts as one of the points, and the other side of the compass is said to be at another point.
Step two: Then the draw the circle and follow the way for each point and the three point do cross some where of each other in the middle.
Step three: Place your compass on that point and then begin to drawing side to link the points and so all 3 point will be on the circle.
Learn more about Circle construction from
https://brainly.com/question/10426648
#SPJ1
Please help me solve problems a - d.
By defining and solving systems of equations, we will see that:
a) the fraction is 40/56
d) the fraction is 15/21.
How to write the equations?
We have the fraction 5/7 and we want to write it in different ways.
a) First we want to find a number a/b such that:
a/b = 5/7
a + b = 96
This is a little system of equations, to solve this, first we can rewrite the first equation as:
7a = 5b
Now we can isolate a on the second equation:
a = 96 - b
And replace that on the other equation:
7*(96 - b) = 5b
And now we can solve this for b.
672 - 7b = 5b
672 = 5b + 7b = 12b
672/12 = b = 56
And we know that:
a = 96 - b = 96 - 56 = 40
Then the fraction is 40/56
d) This time we want the denominator to be 9 less than twice the numerator.
in a/b, a is the numerator and b is the denominator.
So this time we have:
a/b = 5/7
b = 2a - 9
We can rewrite the first equation again:
7a = 5b
And then replace the other equation in the right side:
7a = 5*(2a - 9)
And now solve this for a.
7a = 10a - 45
45 = 10a - 7a = 3a
45/3 = a = 15.
And:
b = 2a - 9 = 2*15 - 9 = 21
Then the fraction is 15/21.
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Please help me with this question
I tried to use the law of cosine but the numbers I get are in decimal places and are too small for the angles.
Answer:
y = √119 ≈ 10.909θ ≈ 65.376°α ≈ 24.624°sin(θ) = (√119)/12 ≈ 0.909059cos(θ) = 5/12 ≈ 0.416667tan(θ) = (√119)/5 ≈ 2.181742csc(θ) = (12√119)/119 ≈ 1.100038sec(θ) = 2.4cot(θ) = (5√119)/119 ≈ 0.458349Step-by-step explanation:
You can use the Law of Cosines after you find y or θ. Using the given information, you can apply the Pythagorean theorem, the Law of Sines, or the definition of the cosine trig function.
The mnemonic SOH CAH TOA is intended to remind you of the relations between sides and angles in a right triangle. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Find yThe Pythagorean theorem relates the measures of the sides. It tells you ...
y² +5² = 12²
y = √(144 -25) = √119
Find anglesThe trig relations above tell you ...
sin(α) = 5/12 ⇒ α = arcsin(5/12) ≈ 24.624°
cos(θ) = 5/12 ⇒ θ = arccos(5/12) ≈ 65.376°
Of course, once you find one of the angles, you can find the other. The sum of the two acute angles in a right triangle is 90°.
Find trig functionsUsing the definitions above for the trig functions, you have ...
sin(θ) = y/12 = (√119)/12
cos(θ) = 5/12
tan(θ) = y/5 = (√119)/5
Using trig identities, you have ...
csc(θ) = 1/sin(θ) = 12/√119 = (12√119)/119
sec(θ) = 1/cos(θ) = 12/5 = 2.4
cot(θ) = 1/tan(θ) = 5/√119 = (5√119)/119
_____
Additional comment
The attached calculator screen shot shows you the angle θ on the first line, and the value of y on the second line. The csc, sec, and cot are shown on the third line. You will notice the angle mode (DEG) is seen in the lower left corner. If the calculator angle mode is set to radians, you will see the angles as relatively small radian values: θ ≈ 1.141, α ≈ 0.4298.
We have shown both exact values and decimal values you can round to the desired precision.
Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
The solution of the equation -x^2 + 2x + 3 = x^2 - 2x + 3 are the x-coordinates of common points on the graphs are x=0 and x=2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
As we can see from the attached graph these graphs intersect at points (0,3) and (2,3).
The system of equation are;
[tex]y = x^2 + 2x + 3 \\y = x^2 - 2x + 3[/tex]
So,
[tex]-x^2 + 2x + 3 = x^2 - 2x + 3 \\\\2x^2 - 4x = 0\\\\2x ( x - 2) = 0[/tex]
Then the solutions of the equation are x=0 and x=2.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1
Answer:
0 and 2
Step-by-step explanation:
b on edge
