Answer:
-657
Step-by-step explanation:
[tex]a= -1\\b= 4\\[/tex]
Substituting the value of a and b
[tex]3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657[/tex]
The value of 3a²-4ab-26² is -657
Consider the first four terms of the sequence below. -3, -12, -48, -192, . . . What is the 8th term of this sequence? A. -49,152 B. -768 C. -12,288 D. -196,608
Answer:
A.
Step-by-step explanation:
This is a geometric sequence with common ratio -12/-3 = 4 ( -48/-12 = 4 and -192 / -48 = 4).
nth term = a1 r^(n - 1) so the 8th term
= -3 * (4)^(8 - 1)
= -49,152.
The 8th term of the geometric sequence is -768
What is a sequence ?A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Formula for the n th term of a geometric sequence in the form
aₙ=a₁ rⁿ
Given sequence is -3, -12, -48, -192, . . .
It is a geometric sequence with the ratio between consecutive terms is 4
i.e. r = 4
a₁ = -3
a₈ = -3 ×4⁸
=-768
Thus the 8th term of this sequence is -768
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Braxton Starts his hike at sea level. He
then hikes Uphill 200 feets, downhill 50 feets.
and then he takes a break.
Write an absolute Value
Expression to
represent the number of feet of braxton's
hike.
How many feet did braxton hikes?
a + 5 = -5a + 5 what does x equal
Answer:
a = 0
Step-by-step explanation:
a + 5 = -5a + 5 subtract 5 from both sides
a + 5 - 5 = -5a + 5 - 5
a = -5a add 5a to both sides
a + 5a = -5a + 5a
6a = 0 divide both sides by 6
6a / 6 = 0 / 6
therefore,
a = 0
Savannah had 400400400 chocolate chips. She saved xxx chips for a garnish, and mixed the rest of the chocolate chips evenly into 333 pans of brownies. How many chocolate chips were in each pan of brownies? Write your answer as an expression
Answer:
(400-x) / 3
Step-by-step explanation:
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies. Write your answer as an expression
Solution
Total chocolate chips Savannah has=400
Saved chips for garnish =x
Total chocolate chips remaining= 400 - x
We subtract the saved chocolate chips because when an item is saved, it will be deducted from the original Quantity
She mixed the rest of the chocolate chips evenly into 3 pans of brownies
That is,
Remaining chocolate chips (400 - x) is mixed evenly into 3 pans of brownies
(400 - x) / 3
Therefore, the answer is given by the expression:
(400-x) / 3
A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.30. Jasmine spends
$16.45 on 5 paint sets at the sale price.
What was the price of 1 paint set before the sale?
Answer:
$4.59
Step-by-step explanation:
At the sale price:
5 paints set cost Jasmine $16.45
Each paint set = Total cost of 5 paints set / 5
= $16.45 / 5
= $3.29
What was the price of 1 paint set before the sale?
Because the store reduces the price of each paint set by $1.30 before selling, we will add $1.30 to the price of each paint set during sales
Price of each paint set during sales = $3.29
price of 1 paint set before the sale = $3.29 + $1.30
= $4. 59
The cost of 1 paint set before the sale was $4.59
From the question, we are told that 5 paints set cost $16.45. From this, we can know the cost of 1 paint.
Cost of 1 paint set = cost of 5 paints set / 5
Cost of 1 paint set = $16.45 / 5
Cost of 1 paint set = $3.29
We are then asked the price of 1 paint set before the sale?
Since the store reduces the price of each paint set before selling it, this them means that we will add $1.30 to the price during the sales .
If the cost of 1 paint set during sales is $3.29, then
the cost of 1 paint set before the sale = $3.29 + $1.30
the cost of 1 paint set = $4. 59
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Write the domain of the following relation in list form.
{(5, 0), (6, 1), (7, 2)}
Answer:
{5, 6, 7}
Step-by-step explanation:
The domain is the input values
The input values are the x values
{5, 6, 7}
Using the properties of triangles, prove that angle a is congruent to angle c in the drawing below.
Answer:
There are no triangles given, so I will explain what congruent triangles are.
Step-by-step explanation:
Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any sense.
Consider the following conditions for two triangles:
- Two angles and corresponding side, of the two triangles are equal
- Two sides and angle between the two triangles are equal
- Hypotenuse and Leg of two right angled triangles are equal.
If all these conditions are met for any two triangles, they are said to be congruent.
What’s 44x10=to the 0 power
Answer:
1
Step-by-step explanation:
Simplify the following:
(44×10)^0
Hint: | Simplify (44×10)^0 by distributing exponents over products.
Multiply each exponent in 44×10 by 0:
Answer: 1
any number to the zero power always gives a one
x+3y=6 and 4x-2y=32 Solve each system of equations
Answer:
x = 54/7 y= -4/7
Step-by-step explanation:
Answer:
x = 54/7 and y = -4/7
Step-by-step explanation:
x+3y=6
4x-2y=32
= 4 ( x+3y=6 )
= 4x +12y = 24 - 4x -2y = 32
=14y = -8
y = - 4/7
X + 3(-4/7) = 6
x+-12/7 = 6
x = 54/7
2. Write the segment Addition postulate for the points described.
J is between S & H
I’m just checking my work pls help
Answer:
SJ + JH = SH or SH = SJ + JH
Step-by-step explanation:
If J belongs to segment SH, then we know that SJ + JH = SH.
one quarter of a bread recipe calls 2/3 cup of bread flour how many cups are needed per recipe
Answer:
as a decimal its 2.66666666667, as a mixed number its about 2 1/3
Step-by-step explanation:
multiply 2/3 by 4 to get the whole amount of flour
PLEASE HELP! ill give brainliest
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.
Answer:
look at the sbse below
Step-by-step explanation:
∠DEC ≅ ∠DCE, ∠ACB ≅ ∠GEF,
∠B ≅ ∠F, DF ≅ BD
∠ACB ≅ ∠GEF, ∠B ≅ ∠F, DF ≅ BD, ΔABC ≅ ΔGFE.
i hope this helps you :) it took me a long time
1. Mr. Miller is building a dollhouse
for his daughter Juanita. He is
designing the dollhouse after a
colonial home with a height of
10 yards. If he wants the
dollhouse to be 4 feet tall, what
scale should he use?
A. 1 foot:2-yards
25
B. 2 feet:15 yards
1
C. 2 feet:7- yards
2
et 7
D. 1 foot:5 yards
Answer:
1 ft : 2.5 yd or 1 ft : 2 1/2 yd
Step-by-step explanation:
He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.
4 ft : 10 yd
Divide both sides by 4.
1 ft : 2.5 yd or 1 ft : 2 1/2 yd
The mass of a bacterial culture doubles every 4 days. If the initial sample is 5 mg: a) How much will you have after one week (7 days)? b) How long does it take to reach a mass of 320mg?
Answer:
For me i got this. A) = 16.846mg B) 24 days I am also in summer school for toronto schoolboard. I used the formula like how it said so should be good.
Step-by-step explanation:
A)
[tex]P(t) = Po(2)x^\frac{t}{d} \\=5(2)^\frac{7}{4} \\=16.817mg[/tex]
B)
[tex]320=5(2)^\frac{t}{4}\\ 64=2^\frac{t}{4}\\2^6=2^\frac{t}{4}\\6=\frac{t}{4}\\(4)6=t \\t=24 days[/tex]
What is the absolute value of –6? Use the number line to help answer the question. A number line going from negative 7 to positive 7. Points are at negative 6 and 0. –7 –6 6 7
Answer:
6
Step-by-step explanation:
The absolute value is the positive integer of the number.
-6 -> 6.
If you were to use a number line, then -6 is 6 units away from 0. The positive number that is 6 units away from 0 is 6.
Answer:
the answer is c
Step-by-step explanation:
i did the quiz
If m(x)= 3/4(x) what is m(8x-16)
Find the solutions to the equation below . Check all that apply . X^2-4=0
Answer:
there are 2 solutions in total
Step-by-step explanation:
x^2-4=0
x^2=4
x= ±2i
Answer:
x=±2
Step-by-step explanation:
x²-4=0
x²-2²=0
(x+2)(x-2)=0
either x+2=0,x=-2
or x-2=0,x=2
Question 9(Multiple Choice Worth 1 points)
(03.01 MC)
377
Simplify
57
o
715
5
73
d
2
715
Answer:
Answer is A. 7 1/5
Step-by-step explanation:
what is the area of a parallelogram
Answer:
Step-by-step explanation:
Area of parallelogram= base * height
Answer:
A= L × W
or
A = S × S
Step-by-step explanation:
A parallelogram are shapes with 4 sides. To find its area, we must do the following formula.
(For rectangle, etc...)
Area = Length × Width
A represents Area
L represents Length
(For a square)
Area = Side × Side
A represents Area
S represents Side
Always remember that the answer of a question that is looking for the area of a 2D shape is always squared. (Let x represent the answer and cm as the example of unit of measurement: x cm²)
I hope this helps! I'm sorry if it's wrong or too complicated.
See Pic.............
Answer:
$2500
Step-by-step explanation:
It is assumed that we need a tax calculation one off per year.
In this case $50,000 yearly salary falls in 5% range
So the tax is:
$50,000*5/100 = $2500what are micro organisms?
Answer: a microorganism or microbe is an organism that is microscopic.
Step-by-step explanation: Microorganisms can be bacteria, fungi, archaea or protists. Which are living they dont include non living organisms
Find the next 3 terms. J30, J31, A31, S30
Answer:
Next 3 terms 031, N30, D31
Step-by-step explanation:
J30, J31, A31, S30
The above series represent the
first letter of the month and the days in it
J30= June which have 30 days
J31= July which has 31 days
A31= August which have 31 days
S30= September which have 30 days
30 days hath September, April, June and November. All the rest have 31 except February alone which has but 28 or 29 days
The next 3 terms of the series J30, J31, A31, S30 are 031, N30, D31
HELP!!!!
Two airplanes leave the airport. Plane A departs at a 44' angle from the runway, and plane B departs at a 40' from the runway Which plane was farther away from
the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth
Plane A because it was 8.64 miles away
Plane A because it was 8.34 miles away
Plane B because it was 7.83 miles away
Plane B because it was 9.33 miles away
Question 4 Multiple Choice Worth 1 points)
(05.02 MC)
A triangle was dilated by a scale factor of 4. If tan a' =
and FD measures 12 units, how long is EF?
Question 3 (Not Answered). Om
Ned Question
Previous Question
Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.
Which graph represents the solution set to the system of inequalities?
y ≤ 2x + 2
1/2x + y < 7
y − 3 ≥ 0
Answer:
D.Step-by-step explanation:
y ≤ 2x + 2 ⇒ 2x → line increasing, ≤ → solid line, y≤ → shade below line
¹/₂x + y < 7
y < -¹/₂x + 7 ⇒ -¹/₂x → line decreasing, < → dashed line, y< → shade below line
y − 3 ≥ 0
y ≥ 3 ⇒ 0x → line parallel to X-axis, ≥ → solid line, y≥ → shade above line
Write four true conditional statements based on this biconditional statement.
An angle is a right angle if and only if it measures 90°.
Answer:
The four true statements are:
1. If an angle is a right angle, it measures 90°.
2. If an angle measures 90°, it is a right angle.
3. If an angle is not a right angle, it does not measure measure 90°.
4. If an angle does not measure 90°, it is not a right angle.
Step-by-step explanation:
Given the biconditional statement:
An angle is a right angle if and only if it measures 90°.
To find:
Four true conditional statements.
Solution:
First of all, let us the learn the concept of four true conditional statements from a given biconditional statement.
Let the biconditional statement be "[tex]a[/tex] is true if and only if [tex]b[/tex] is true.
Then the four true statements can be written as:
1. If [tex]a[/tex] is true then [tex]b[/tex] is true.
2. If [tex]b[/tex] is true then [tex]a[/tex] is true.
3. If [tex]a[/tex] is false then [tex]b[/tex] is false.
4. If [tex]b[/tex] is false then [tex]a[/tex] is false.
Here [tex]a[/tex] is "an angle is a right angle"
[tex]b[/tex] is "it measures 90°" .
So, the four true statements are:
1. If an angle is a right angle, it measures 90°.
2. If an angle measures 90°, it is a right angle.
3. If an angle is not a right angle, it does not measure measure 90°.
4. If an angle does not measure 90°, it is not a right angle.
What is the image of (9,-7) after a reflection over the y-axis?
the answer is (-9,-7) it flips into the 3rd quadrant.
what is the image point of (9,9) after a translation right 5 units and down 4 units
Answer:
(14, 5)
Step-by-step explanation:
1. substitute- (x,y)=the original coordinates (9,9) right?
2. So no you want to do x, you have 9 and if you are moving right 5 units it'll be 9+5 because x is left to right on a graph.
9+5=14 therefore (14,y)
3. Now you do y, y is up and down. So you want to go down 4, you subtract 4 from 9 giving you five. Now you have (14,5)
Hope I could help! :)
please help me on this
Find the distance between the points E(3,7) and F(6,5)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{13} \: \: units}}}}}[/tex]Step-by-step explanation:
Solution,
E ( 3 , 7 ) ⇒ ( x₁ , y₁ )
F ( 6 , 5 ) ⇒( x₂ , y₂ )
Finding the distance between these points:
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
plug the values
⇒[tex] \sf{ \sqrt{ {(6 - 3)}^{2} + {(5 - 7)}^{2} } }[/tex]
Calculate the sum or difference
⇒[tex] \sf{ \sqrt{ {3}^{2} + {( - 2)}^{2} } }[/tex]
Evaluate the power
⇒[tex] \sf{ \sqrt{9 + 4} }[/tex]
Add the numbers
⇒[tex] \sf{ \sqrt{13} }[/tex] units
Hope I helped !
Best regards!!!
Is -1 1/2 rational?
Answer:
yes
Step-by-step explanation:
-1 1/2 = -3/2
A rational number is a number that can be written as a fraction of integers.
-1 1/2 is the same as -3/2.
-3 and 2 are integers, so -3/2 is a fraction of integers.
Answer: yes
Answer: Yes
Step-by-step explanation:
-1 1/2 is a rational number because it is a non-repeating fraction and is still rational even if it is negative.