Answer: 287
Step-by-step explanation:
8, 17, 26
So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.
That means we need 29 more terms to get to the 32nd term.
29 * 9 = 261
261 + 26 = 287
287 is 29 terms past 26, which is the 3rd term.
Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP
Answer:
No ABC is not a triangle
Step-by-step explanation:
Perimeter = 22 cm
AB = 8 cm ; BC = 8 cm
AC = 22 - ( 8 + 8 ) = 6 cm
But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......
Had it followed the theorem , it could have been a right angle triangle...
What’s this problem
Answer:
use FOIL- Firsts Outsides Insides Lasts
Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answerFor the graph of the rational function
f(x)=x^2-15+56 over
x+7, identity all discontinuities as either a removable discontinuity or a vertical asymptote
A.removable discontinuity at x=-7
B. Vertical asymptote is x=7
C.vertical asymptote is at x=-7
D. Removable discontinuity at x=7
The door to your bathroom has never closed well. In fact, every time you try to use the bathroom, the cats bust open the door because it simply won’t latch. You look at the door and it appears that the door frame is slightly tilted. The person who built your house claims that can’t be true because he measured your door frame and found it be an exact right angle. He claims what you’re seeing is an optical illusion. If you knew the door frame measurements were as pictured to the right, did the builder install your door frame correctly at a right angle?
Answer:
If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.
Step-by-step explanation:
Maybe if the door was straight, but you saw it at a right angle then maybe you were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.
Which measurements could be the length of the third
side? Select all that apply.
A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches
19 inches
0 21 inches
D 35 inches
45 inches
in ohon
Answer:
35 and 21
Step-by-step explanation:
the sum of the two lengths of two sides must be greater than the length of the third side.
10+30=40
45 doesn't work: 40<45.
10+19=29
29<30
19 doesn't work
10+21=31
31>30
21 works
35+10=45
45>30
35 also works
Answer:
35 and 21, good luck!! sorry I'm late
Please help me Simplify 5+(z+2)
Maybe try to simplify
Answer:
7+z
Step-by-step explanation:
you can open the parentheses right away because it is addition. so you are left with 5+z+2. you can add both 5 and 2 together, so the final result will be 7+z
What is the x-value of the vertex?
f(x)=(x+2)2−1
x-value of the vertex:
Step-by-step explanation:
f(x) = (x+2)(2-1)
= x(2-1)+2(2-1)
= 2x-x + 4-2
= 2x - x + 2
Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
$12 million
Step-by-step explanation:
Vertex form of a quadratic equation:
y=a(x-h)^2+k
where (h,k) is the vertex.
The vertex is (5,12), and it is a maximum since a is negative.
Therefore, the maximum value is $12 million.
On a coordinate plane, a horizontal line goes through y = negative 3. Using the graph, determine the value of the slope. What is the slope? -3 0 3 no slope What is true about the graph? All x value are the same All Y values are the same Each X and Y value is different.
Answer:
The slope is 0/ No slope.
All Y values are the same
Step-by-step explanation
just took a test on it
If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6
Answer:
(x+4)
Step-by-step explanation:
Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)
Answer:
b (x+4)
Step-by-step explanation:
edge
The numbers 1, 2, ... ,10 are to be entered into the 10 boxes shown below, so that each number is used exactly once: P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square). What is the maximum value of P? What is the minimum value of P?
Answer:
Maximum: 756
Minimum: 600
Step-by-step explanation:
A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:
(1+3+5+8+10)(2+4+6+7+9)
For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:
(1+2+3+4+5)(6+7+8+9+10)=600
Hope this helps!
4.
If a pair of shoes is going to be discounted 15%, what decimal can be used as the multiplier to find
the new cost of the shoes?
The decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
If a pair of shoes is going to be discounted by 15%
Let's suppose the original cost is 100%
It has a discount of 15%
So the new cost of the shoes = 100 - 15 = 85%
To convert it to decimal divide it by 100
= 85/100
= 0.85
Thus, the decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,
Learn more about the percentage here:
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Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is P(blue)=0.34. Write this probability as a percent and a fraction.
Answer:
0.34 can be written as 34% or 34/100.
Which of the following is an angle shown in the drawing?
Will mark as brainliest if correct. Please answer ASAP please.
Answer: All of them besides <AEB
Step-by-step explanation:
Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct
Plane V and Plane J intersect at which of the following?
they intesect at line a
How long is the shorter leg of the triangle?
Answer:
6 is the answer
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
find the value of x.
please help !!!
Answer:
62 degrees
Step-by-step explanation:
all triangles equal 180 degrees so you would add both angles together then subtract the sum of that by 180
Answer:
[tex]x=62^o[/tex]
Step-by-step explanation:
Since the addition of all internal angles of a triangle should add up to [tex]180^o[/tex], then, the missing angle can be found by subtracting the two known angles from [tex]180^o[/tex]:
[tex]x=180^o-68.5^o-49.5^o=62^o[/tex]
c) work out the value of 3² + 2³
d) work out the value of 2⁴ - 3²
Answer:
a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64
b) 7^4 = 7*7*7*7 = 2401
c) 3^2 + 2^3
= 9 + 8
= 17
d) 2^4 - 3^2
= 16 - 9
= 7
Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
cocktail fruits to make a fruit punch for the Christmas party. Each carton of
juice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, The
cans of cocktail fruit are 2 pints each. How much (
measured in gallons) of
fruit punch did Josh made?
Answer:
9.5 gallons
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of
cocktail fruits to make a fruit punch.
Each carton of juice is 1 gallon and 3 quarts.
Therefore, 2 cartons will be:
2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts
1 quart = 0.25 gallon
6 quarts = 6 * 0.25 = 1.5 gallons
Therefore, Josh poured 3.5 gallons of orange juice.
Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.
Therefore, the number of gallons that the soda water bottle contains is:
3 * 6 * 0.25 = 4.5 gallons
The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.
1 pint = 0.125 gallon
2 pints = 0.25 gallons
=> 6 cans of cocktail fruit is:
6 * 0.25 = 1.5 gallons
The amount of fruit punch that Josh made is the sum of all components:
3.5 + 4.5 + 1.5 = 9.5 gallons
Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons
Recall :
1 quartz = 0.25 gallons 1 pint = 0.125 gallonsOrange juice :
2 cartons = 2(1.75) = 3.5 gallons
Soda water :
3 bottles = 3(6 × 0.25) = 4.5 gallons
Cocktail juice :
6 cans = 6(2 × 0.125) = 1.5 gallons
Total gallons in mixture :
(3.5 + 4.5 + 1.5) = 9.5 gallonsLearn more : https://brainly.com/question/25581049
help please
7^-1 x 7^5/7^6
Answer:7^-2
Step-by-step explanation:
7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2
HELP ME PLEASE ITS NOT THAT HARD
Answer:
tan A = 28/45
Step-by-step explanation:
opposite side
the tangent function is defined as tan A = ------------------------
adjacent side
Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45. Thus, the tangent of angle A is
tan A = 28/45
Please help me with my question!!
Answer:
B,C
Step-by-step explanation:
The sum of B is 1
The sum of C is -1/2
Let's try each option.
Option A:
-3 + 5 + (-1) = 2 + (-1) = 1
FALSE
Option B:
5 + (-8) + 4 = -3 + 4 = 1
TRUE
Option C:
-19/2 + 9 = -9.5 + 9 = -0.5
TRUE
Option D:
-17 + 36/2 = -17 + 18 = -1
FALSE
So, the correct answers are B and C
Best of Luck!
What is the graph of a quadratic equation known as?
Answer:
The graph of a quadratic function is a U-shaped curve called a parabola.
Step-by-step explanation:
If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10
Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
The correct answer is A.
Step-by-step explanation:
X=5
Determine the x-intercepts of the following equation.
(-x + 5)(-x - 2) = y
(-10,0
(5,0) and (-2,0)
(0,10)
(0, -10)
(5,0) and (2,0)
O(0,5) and (0, -2)
Answer:
(5,0) and (-2,0)
Step-by-step explanation:
In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.
Wendy is taking a cab ride. The ride costs $1.20 for the first 0.5 km, and $0.90 for each additional 0.5 km. If the trip costs $12.00, how many kilometres was the cab ride?
Answer:
6.5 km
Step-by-step explanation:
Subtract 12 - 1.20 for the first 0.5 km
We are left with 10.8
Divide 10.8 by 0.90 to find the other 0.5 km
This gives you 12, which means it was 6 km
The total cab ride was 6.5 km
Answer:
6.5 km
Step-by-step explanation:
First subtract 1.2 from 12, you get 10.8
now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.
12.00-1.2=10.8 this is .5 km 10.8 divided by .9 =12
12 divided by .5=6
.5 km + 6 km = 6.5
Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x +y =3 3y= x - 12
Answer:
The second figure is the correct figure.
Step-by-step explanation:
Graph (ii) is solution of system of equation.
We have to given that,
System of equations are,
2x + y = 3
3y = x - 12
Now, Solve the equations and find the solution,
Here, Equations are,
2x + y = 3 .. (i)
3y = x - 12 .. (ii)
From (i);
y = 3 - 2x
Substitute in (ii);
3 (3 - 2x) = x - 12
9 - 6x = x - 12
9 + 12 = 6x + x
7x = 21
x = 3
And from (i);
2 × 3 + y = 3
6 + y = 3
y = - 6 + 3
y = - 3
Hence, Solution is, (3, - 3).
So, Graph shown in option (ii) has intersection point (3, - 3)
Thus, Graph (ii) is solution of system of equation.
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what is the answer to this please?
-3(x+2)+5x = -9
Answer:
[tex]-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}[/tex]