Answer:
15.094 %
Step-by-step explanation:
[(122 - 106) /106] 100
(16/106) 100
(0.15094)x100
15.094
Answer:
15%
Step-by-step explanation:
hi :) how to do 10(iii) ?:)
(i) AB and DC are parallel, so the lines containing these sides have the same slope.
The line containing AB has slope (2 - (-1))/(10 - 4) = 3/6 = 1/2.
Use the point-slope formula to find the equation of the line containing CD:
[tex]y-8=\dfrac12(x-12)\implies y=\dfrac x2+2\implies\boxed{2y=x+4}[/tex]
AP is perpendicular to both AB and CD, and perpendicular lines have slopes that are negative reciprocals of one another. This means the line containing AP has slope -1/(1/2) = -2. Using the point-slope formula again, the equation of the line containing AP is
[tex]y-(-1) = -2(x-4)\implies \boxed{y=-2x+7}[/tex]
(ii) D lies on the x axis, so its y-coordinate is 0. Find the x-coordinate by plugging y = 0 into the equation for the line containing CD:
[tex]2\cdot0=x+4\implies x=-4[/tex]
So D is the point (-4, 0).
P is the intersection of the lines containing CD and AP, so set them equal and solve for x and y :
[tex]y=\dfrac x2+2\text{ and }y=-2x+7[/tex]
[tex]\implies\dfrac x2+2=-2x+7\implies 5x=10\implies x=2[/tex]
[tex]\implies y=-2\cdot2+7\implies y=3[/tex]
So P is the point (2, 3).
(iii) For ASBC to be a parallelogram, we need to find the coordinates of S such that the line containing AS is parallel to the line containing BC, and the line containing SC is parallel to the line containing AB.
BC has slope (8 - 2)/(12 - 10) = 6/2 = 3. Then the line containing AS has equation
[tex]y-(-1)=3(x-4)\implies y=3x-13[/tex]
We already know AB has slope 1/2. Then the line containing SC has equation
[tex]y-8=\dfrac12(x-12)\implies y=\dfrac x2+2[/tex]
S is the intersection of these two lines:
[tex]3x-13=\dfrac x2+2\implies\dfrac{5x}2=15\implies5x=30\implies x=6[/tex]
[tex]\implies y=3\cdot6-13\implies y=5[/tex]
So S is the point (6, 5), and *not* (2, -7) as the answer key suggests. In fact, (2, -7) is located lower than the point A and slightly to the left; if you draw that point and connect it to the other three, there's no way to get a parallelogram.
(iv) Find the lengths of AB, CD, and AP. Then the area is (AB + CD)*AP/2.
[tex]AB=\sqrt{(4-10)^2+(-1-2)^2}=3\sqrt5[/tex]
[tex]CD=\sqrt{(12-(-4))^2+(8-0)^2}=8\sqrt5[/tex]
[tex]AP=\sqrt{(4-2)^2+(-1-3)^2}=2\sqrt5[/tex]
so the area is
[tex]\dfrac{(3\sqrt5+8\sqrt5)2\sqrt5}2=\boxed{55}[/tex]
Drag each tile to the correct box. Order the quadratic functions from least to greatest based on the number of x-intercepts of each function.
Answer:
Leftmost box: Graph, because it has zero x intercepts
Middle box: Function f with a vertex at 2, 0
Rightmost box: g(x)=x^2+x-2
Answer:
g(x)=x^2+x-2
Step-by-step explanation:
HELP A GIRLL OUT I GAVE YOU ALL MY POINTS!! HELPP! 1. a. What is James’s new texting speed if he practices for only 1 month? __________ b. What is James’s new texting speed if he practices for 2 months? ____________ c. What is his new texting speed if he practices for 3 months? _____________ 2. Write an algebraic equation that gives James’s texting speed s for m months of practice. 3. solve the equation from question 2 to determine how many months of practice it will take before james texting speed reaches 8 characters per second. Lynda would also like to complete in the same speed texting completion as james she currently texts at the rate of 4 characters per second but will only have 10 months to practice before the completion. 4. if Lynda wants to text at least 8 characters per second like james then the equation 10r+4=8 could be used to model this situation. Solve for r. 5. Explain what the variable r represents in the equation given in question 4. 6. Consider the equation 8x+5=37 write a real life scenario that this equation could model.
Answer:
1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.
b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.
c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.
2. The answer is s = 1/2m + 2
3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.
4. 10r + 4 = 8 → 10r = 4 → r = 0.4
5. The variable r represents the rate she must increase her texting speed by per month.
6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12x-15
Step-by-step explanation:
In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked) then subtracted 15, which was the fine she had to pay.
Answer:
12x-15
Step-by-step explanation:
I took the test
Graph: f(x) = 22-1
Step 1: Find the value of x that makes the exponent zero
by solving this equation: x-1 = 0
Answer:
Step-by-step explanation:
To graph an exponential function f(x) = [tex]2^{x-1}[/tex],
Step - 1 :
Find the value of x that makes the exponent 0.
x - 1 = 0
x = 1
f(1) = 2⁰ = 1
Similarly, for other input values (x- values),
For x = 2,
f(2) = [tex]2^{2-1}[/tex]
= 2¹
= 2
For x = 3
f(3) = [tex]2^{3-1}[/tex]
= 2²
= 4
For x = 4
f(4) = [tex]2^{4-1}[/tex]
= 2³
= 8
Therefore, table for input - output values will be,
x 1 2 3 4
f(x) 1 2 4 8
Answer:
:>
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
4^3•4x
The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].
What is an expression?An expression is a combination of symbols and it does not convey full meaning of anything.
How to make equivalent expressions?We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.
If we see that both bases are equal so we will add the power with only one base from which 4^{x+3} .
If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]
Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.
Learn more about equivalent expressions at https://brainly.com/question/2972832
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In a linear function, which of the following represents the average rate of change of the function? Slope y-intercept independent variable dependent variable
Answer:
the slope
Step-by-step explanation:
If the function is linear, the average rate of change of y with respect to x is the slope of the line.
Answer:
slope
Step-by-step explanation:
Please help me prove that AÊD = B
Edward has a pile of marbles. If he counts by 3, there are 2 left. If he counts by 4, there are 3 left. If he counts by 5, there are 4 left. Let be the total number of marbles. If is between 170 and 190, what is the product of all digits of ?
Answer:this is stupid
Step-by-step explanation:who the hell does that
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)
Answer:
(-6, -8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply set our variables to what we know and solve:
-7 = (-8 + x)/2
-14 = -8 + x
x = -6
0 = (8 + y)/2
0 = 8 + y
y = -8
Answer:
The other endpoint is (-6,-8).
Step-by-step explanation:
If you follow the slope that the two points made (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:I hope this helps
Find the area of the triangle. ANSWERS: A) 84 m2 B) 66 m2 C) 42 m2 D) 132 m2
Answer:
C
Step-by-step explanation:
........
Answer:
42
Step-by-step explanation:
Area= 1/2(bh)
Area=1/2(12)(7)
Area=1/2)(84)
Area=42
Plzzz help 11/10(-2x-1)-16
Answer:
[tex] - \frac{11}{5} x - \frac{171}{10} [/tex]Solution,
[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
-11/5x+-171/10
Step-by-step explanation: I believe its this answer unless you want it graphed
Please help solve i give brainliest
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
Since both equations are equal to y, set them equal to each other
2x+3 = -3x+3
Subtract 3 from each side
2x = -3x
Add 3x to each sdie
2x+3x = -3x+3x
5x =0
Divide by 5
x=0
Now solve for y
y =2x+3
y = 0+3
y=3
(0,3)
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
2x+3 = -3x+3
2x = -3x
2x+3x = -3x+3x
5x =0
x=0
The solve for y
y =2x+3
y = 0+3
y=3
(x,y)=(0,3)
Then (0,3) will be your answer!
Hope this help!
Algebra pls help me
Answer:
1). Y= x² -4x+6
Y = 3x-4
2) X= 5 and x= 2
3).
X= 5
Y= 11
X= 2
Y= 2
Step-by-step explanation:
1).
Y = (x-2)²+2
Y= x² -4x+4+2
Y= x² -4x+6
Y+4= 3x
Y = 3x-4
2).
Y = x² -4x+6
Y = 3x-4
x² -4x+6= 3x-4
X² -7x+10= 0
X²-5x-2x+10= 0
X(x-5)-2(x-5)= 0.
(X-5)(x-2)= 0
X= 5 and x= 2
3). substituting the value of x into the linear equation
Y = 3x-4
X= 5
Y= 3(5)-4
Y= 15-4
Y= 11
Y = 3x-4
X= 2
Y= 3(2)-4
Y= 6-4
Y= 2
Please help me out I need it done ASAP
Answer:
B. 141 ft.
Step-by-step explanation:
Just saw this.
10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?
Answer:
2 1/3 hours or 2 hours 20 minutes.
51.4 mph to 1 decimal place.
Step-by-step explanation:
Time = distance speed
First 50 miles time taken = 50 / 60 = 5/6 hours
Second 50 miles - time = 50/40 = 5/4 hours.
Final 20 miles - time taken = 20 / 80 = 1/4 hours.
Total time taken = 5/6 + 5/4 + 1/4
= 5/6 + 6/4
= 10/12 + 18/12
= 28/12
= 7/3 or 2 1/3 hours or 2 hours 20 minutes.
Average speed = total distance / total time
= 120 / 7/3
= 120 * 3/7
= 51.4 mph to 1 decimal place.
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
Answer:
D. The coefficient of the x^2-term must be positive.
Step-by-step explanation:
A. The coefficient of the x2-term can't be zero.
B. There can be no term whose degree is higher than 2.
C. One side of the equation must be zero.
D. The coefficient of the x2-term must be positive.
Quadratic equation is given as:
y=ax^2+bx+c
To use the quadratic formula,we have
ax^2+by+c=0
Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0
There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2
One side of the equation must be 0, that is ax^2+by+c=0
Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box
Answer:
The asnwer is 12100 cm^2 of plastic without lid
Step-by-step explanation:
There 6 sides in a box, but there is no lid so only 5 sides.
Calulate the area of all 5 sides and add them up.
( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )
=12100 cm^2
The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
Help will mark brainliest!
Answer:
2 : 3Step-by-step explanation:
Total number of cards = 48
Red cards/black cards = 1/1
(so, 24 each of read and black cards)
8 red cards are removed.
Now, there will be (24-8) number of cards left in the pack which equals to 16 cards.
So, now the number of red cards in the pack= 16
Number of black cards = 24
Ratio of red card/ black card
[tex] = \frac{16}{24} [/tex]
[tex] = \frac{2}{3} [/tex]
= 2 : 3Hope this helps...
Good luck on your assignment...
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
Ryan had $80. He spent $32 on a book. what percentage of his money did he spend on the book? What percentage of his money did he have left?
Answer:
40% spent. 60% left.
Step-by-step explanation:
To find the percentage spent, divide the two values, then multiply by 100.
$32 / $80 = 0.40 0.40 x 100 = 40% spent.
To find the percentage of money left, subtract the two values.
$80 -$32 = $48
Then, divide the two values and multiply by 100.
$48 / $80 = 0.60 0.60 x 100 = 60% left.
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
1. >
2.>
3.>
4.>
5.<
6.<
7.>
8.<
b.
1.>
2.<
3.>
4.<
5.>
6.>
7.>
8.>
pls help me with 15 and 16 I will make u brianlist thank u:)
Answer:
15. c
16. b
i hope you figure out later in life how to solve.
Answer:
A, D
Step-by-step explanation:
When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.
Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.
Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.
Find the value of the trigonometric ratio, tan X.
Answer:
A. 24/7
What are sine, cosine, and tangent?
SOH - CAH - TOA
sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent (that is not hypotenuse)
Step-by-step explanation:
tanX = ZY/XY = 48/14 = 24/7
Answer:
24/25
Step-by-step explanation: opposite side
The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25
adjacent side
In how many ways can we put six marbles in different colors into three jars? Note that the jars may be empty.
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,
Number of ways = ⁶P₃ × 3!
= 120 × 6
= 720
Hence, The number of ways in which 6 marbles can be put in three different jars is 720.
Learn more about Permutation:
https://brainly.com/question/11732255
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Find the area of the given shape
Answer:
100
Step-by-step explanation:
A rhombus is split into four right triangles
The base of one is 5 and the hypontenuse is 10
So remember x^2y^2=z^2
5^2=25
25+y^2=100
Ok so y is between 8 and 9 so lets just use 8 first
5*8*1/2=20
there are 4 triangles so 20*4=80
now same thing with 9
5*9*1/2=22.5
22.5*4=90
your answer is between 80 and 90
btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it
State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!
Answer:
acute
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!! The figure below shows a line graph and two shaded triangles that are similar Which statement about the slope of the line is true? It is 3 throughout the line. It is 1/3 throughout the line. The slope from point O to point A is 1/3 times the slope of the line from point A to point B. The slope from point O to point A is 3 times the slope of the line from point A to point B. (click on the picture below)
Answer:
The slope from point O to point A is 3 times the slope of the line from point A to point B.
Step-by-step explanation:
The slope of the entire line is 1. The slope from point A to point B is also 1. 1 multiplied by 3 is still 1, which means that the slope from point O to point A is also 1.
PLEASE ANSWER ASAPPPP I WILL GIVE BRAINLY!!!!!!!!!!!
Answer:
[tex]-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20\left(-\frac{8}{7}\right)[/tex]
the last one
sorry for getting this wrong...............