Answer:
2 ( -21 + y )
Step-by-step explanation:
-24 + 2(y - 9)
-24 - 18 + 2y
-42 + 2y
2 ( -21 + y )
Mary Ellen has a white oak tree in her backyard.she observed that the tree had grown 2/3 foot in 3/4 year. What is the tree grownth rate in feet year? A.1/2 b.9/9 c1/1.8 d.2
Answer:
in 3/4 year tree had grown 2/3
in 1 year tree had grown (2/3)/0.75 =8/9 feet
Step-by-step explanation:
5. Solve for x:
| 5x – 4 =16
Answer:
x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
In the bottom question what does X= to?
Answer:
The value of x is 29°...
When an angle is bisected, it is cut in half. We can assume that m<BAR = m<CAB and we know that m<CAR = m<CAB + m<BAR
88 = 2x - 14 + 2x - 14
Combine like terms
88 = 4x - 28
Add 28 to both sides
116 = 4x
Divide both sides by 4
29 = x
(10 points)What is the sum of the first ten terms of the sequence 4,-12, 36, -144...
A. 59,050
B.-78,732
C.-59,048
D.118,096
If you could show work I would be grateful
Answer:
b
Step-by-step explanation:
The sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048
Here is the correct question:
What is the sum of the first ten terms of the sequence 4, -12, 36, -108...
From the question,
The given sequence is 4,-12, 36, -108...
This is a geometric progression since it has a common ratio.
The common ratio, r = -3
Recall that,
Given a geometric progression, the common ratio, r is given as
[tex]r = \frac{T_{2} }{T_{1}} = \frac{T_{3} }{T_{2}} =\frac{T_{4} }{T_{3}} = ...[/tex]
From the given sequence,
[tex]T_{1} = 4[/tex]
[tex]T_{2} = -12[/tex]
[tex]T_{3} = 36[/tex]
[tex]T_{4} = -108[/tex]
∴ [tex]r = \frac{-12 }{4} = \frac{36}{-12} =\frac{-108} {36} = -3[/tex]
Therefore, the sequence is a geometric progression with a common ratio of 3
Now, to determine the sum of the first ten terms of the sequence,
From the formula
[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]
Where [tex]S_{n}[/tex] is the sum of n terms
[tex]a[/tex] is the first term
[tex]r[/tex] is the common ratio
and [tex]n[/tex] is the number of terms in the series
From the question
[tex]a = 4[/tex]
[tex]r = -3[/tex]
and [tex]n = 10[/tex] (Since, we are to determine the sum of the first 10 terms)
Now, put the parameters into the formula
[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]
We get
[tex]S_{10} = \frac{4(1-(-3)^{10}) }{1-(-3)}[/tex]
[tex]S_{10} = \frac{4(1-59049) }{1+3}[/tex]
[tex]S_{10} = \frac{4(-59048) }{4}[/tex]
[tex]S_{10} = \frac{-236192 }{4}[/tex]
[tex]S_{10} = -59048[/tex]
Hence, the sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048
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What equation can Janet use to calculate the principal amount? (and please don't just answer try to solve it someone ripped me off, the last time i asked by just typing)
Answer:
t = [tex]\frac{l}{pr}[/tex]
Step-by-step explanation:
Formula or literal equation used to calculate the simple interest is,
l = prt
where 'l' = Simple interest
p = principle amount invested
r = rate of interest
t = time or duration of the investment
If we have to calculate the time of investment form the given formula,
l = prt
By the division property of equality,
[tex]\frac{l}{pr}=\frac{prt}{pr}[/tex]
[tex]t=\frac{l}{pr}[/tex]
Therefore, formula to be used is, [tex]t=\frac{l}{pr}[/tex]
How do I solve this problem?
Sarah sold 12 boxes of girl scouts cookies. If Sarah sold three times as many boxes as Amiyah, how many boxes did Amiyah sell?
Answer:4
Step-by-step explanation:
Jillian solved the equation v + 4.3 = 7.05 using the work shown below. * v + 4.3 = 7.05 v + 4.3 − 4.3 = 7.05 + 4.3 v = 11.35 What error did Jillian make?
Answer:
Please check explanation
Step-by-step explanation:
Here, in this question, we are interested in identifying the error made by Jillian in his solution of the equation.
This error is traceable to the second step of his solution. Adding 4.3 to 7.05 and subtracting again is the same thing as not adding anything or just adding zero only.
What he should have done is to subtract the value of 4.3 from both sides of the equation. In that manner, he would have been able to isolate v on the left hand side of the equation
how to solve V1 T2 = V2 T1
V1 = 600mL T1 = 77.0 V2 = ? T2 = 86.0
Answer:
V2 = 670.129
Step-by-step explanation:
V1T2 = V2T1
Let V2 = y
600 x 86.0 = y x 77.0
51600 = 77y
77y/77 = 51600/77
y = 670.129
since y= V2
V2 = 670.129
1.6.AP-9
A family is comparing different car seats. One car seat is designed for a child up to and including 25 lb. Another car seat is designed for a child between 16 lb and 35
Ib. A third car seat is designed for a child between 25 lb and 95 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a
33-lb child?
The inequality for a child up to and including 25 lb is
(Simplify your answer. Type a compound inequality using x as the variable.)
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
how do i solve this?
write two inequaltities to compare -5 and -3
-5 < -3 and the second inequality is -3 > -5
In geometry a
is a location. It has no size. It is
represented by a dot.
Points play a crucial role in defining distances, angles, and relationships between different geometric objects, providing a foundation for the study of geometry.
In geometry, a point is a fundamental concept that represents a precise location in space. It is a basic building block from which geometric figures and shapes are constructed. A point has no size, shape, or dimensions. It is often denoted by a dot or a small letter, such as point A (A). Points are used to describe the positions of other geometric elements, such as lines, curves, and polygons. They serve as reference markers and can be connected to form line segments and rays.
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what would be equivalent to 32 ⋅ 35?
Step-by-step explanation:
35•32 or 1120 there you go
f(x)=18x+11, find f(5)
Answer:
[tex]\boxed {\tt f(5)=101}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)=18x+11[/tex]
and asked to find f(5). Therefore, we must substitute 5 in for each [tex]x[/tex].
[tex]f(5)=18(5)+11[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Multiply 18 and 5.
[tex]f(5)=90+11[/tex]
Add 90 and 11.
[tex]f(5)=101[/tex]
f(5) is equal to 101.
Can someone help please
Answer:
[tex]x > \frac{16}{3} [/tex]
Step-by-step explanation:
[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]
Let x= -11/8 and y= -11/4
Which expression has a negative value?
x + y
x — у
х.у
х/y
Answer:
x + y
Step-by-step explanation:
In these examples, a and b are positive numbers.
- a + ( - b) = - (a+ b)
- a - ( - b) = - a + b
- a * - b = a * b
- a / -b = a/b
Hope this helps understanding.
Why is thinking about the problem before you work important?
Answer: It's good to think about things before doing them because it is more thought out and you have a better chance of getting things correct whereas without thinking your most likely going to get it wrong. Without thinking through your options you are basically guessing the answer. I hope this helped you have a great day and god bless you :D
The whole numbers are the set of what numbers and zero ?
Answer:
An integer number is one that can be written without using fractions or decimals, and it is an expression of ( 1.2.3..... ) and 0, and negative numbers (- 1-2-3...... )
HELP!!Mark the figure to illustrate the givens.(Show work) ~will make brainliest
Refer to the attachment for solution.
What’s the absolute value of -6.5
Answer:
6.5
Step-by-step explanation:
|-6.5| = 6.5
Answer:
6.5
Step-by-step explanation:
I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?
( I actually need to know I'm pulling an all nighter to reset my sleep schedule)
Answer:
11 hours and 22 minutes
what is 210 divided by 2 1/2
Answer:
210 divided 2 1/2= 84....
The 210 divided by 2 1/2 is 84.
To calculate 210 divided by 2 1/2, first, we need to convert the mixed number 2 1/2 to an improper fraction. The improper fraction for 2 1/2 is (2 * 2 + 1) / 2 = 5/2.
Now, we can perform the division:
210 ÷ 5/2
To divide by a fraction, we multiply by its reciprocal:
210 * 2/5
Now, perform the multiplication:
(210 * 2) / 5 = 420 / 5
Next, simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 5:
420 ÷ 5 = 84
The result of 210 divided by 2 1/2 is 84. So, 210 ÷ 2 1/2 = 84.
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Solve for x. 20 points and I give brainliest
Pls provide work. Due in an hour
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
To solve for x, we can use the Exterior Angle Theorem.
The Exterior Angle Theorem states that the exterior angle is equivalent to the sum of the two opposite, interior angles.
So, we can write the following equation:
[tex](6+25x)=(44)+(18x-3)[/tex]
Now, we just have to solve for x.
On the right, let's subtract. So:
[tex]6+25x=18x+41[/tex]
Now, let's subtract 18x from both sides. This gives:
[tex]6+7x=41[/tex]
Now, let's subtract 6 from both sides. This will yield:
[tex]7x=35[/tex]
And, finally, let's divide both sides by 7, giving us:
[tex]x=5[/tex]
And we're done!
We can use the Exterior Angle Theorem.
6 + 25x = 44 + 18x - 3
6 + 25x = 18x + 41
25x = 18x + 35
7x = 35
x = 5
Best of Luck!
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B = C → A = C - B
→ B = C - A
Use the Double Angle Identity: cos 2A = 2 cos² A - 1
→ (cos 2A + 1)/2 = cos² A
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]
Use Even/Odd Identity: cos (-A) = cos (A)
Proof LHS → RHS:
LHS: cos² A + cos² B + cos² C
[tex]\text{Double Angle:}\qquad \dfrac{\cos 2A+1}{2}+\dfrac{\cos 2B+1}{2}+\cos^2 C\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg(2+\cos 2A+\cos 2B\bigg)+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\dfrac{1}{2}\bigg(\cos 2A+\cos 2B\bigg)+\cos^2 C[/tex]
[tex]\text{Sum to Product:}\quad 1+\dfrac{1}{2}\bigg[2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A-2B}{2}\bigg)\bigg]+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\cos (A+B)\cdot \cos (A-B)+\cos^2 C[/tex]
[tex]\text{Given:}\qquad \qquad 1+\cos C\cdot \cos (A-B)+\cos^2C[/tex]
[tex]\text{Factor:}\qquad \qquad 1+\cos C[\cos (A-B)+\cos C][/tex]
[tex]\text{Sum to Product:}\quad 1+\cos C\bigg[2\cos \bigg(\dfrac{A-B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+(C-B)}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-(C-A)}{2}\bigg)[/tex]
[tex]\text{Given:}\qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+A}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-B}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\cos C \cdot \cos A\cdot \cos (-B)[/tex]
[tex]\text{Even/Odd:}\qquad \qquad 1+2\cos C \cdot \cos A\cdot \cos B\\\\\\.\qquad \qquad \qquad \quad =1+2\cos A \cdot \cos B\cdot \cos C[/tex]
LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C [tex]\checkmark[/tex]
17.
A $75 prize was to be awarded and split amongst a 6 person team. Which
representation best shows how much money each person will get, assuming the
prize is split equally?
Answer:
$12.5
Step-by-step explanation:
Since prize is split equally.
So, money received by each person
= 75/6
= $12.5
A line segment has the endpoints P(-7, 6) and Q(-3, 9). Find the coordinates of its
midpoint M
Write the coordinates as decimals or integers.
Answer:
[tex]MP= (-5,7.5 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{-7+-3}{2} )(\frac{6+9}{2} )[/tex] -7+-3= -10 6+9=15
[tex]MP= (\frac{-10}{2} )(\frac{15}{2} )[/tex] -10/2=-5 15/2=7.5
[tex]MP= (-5,7.5)[/tex]
Use Similar triangles to calculate the height, h cm, of traingle ABE
Answer:
24 cm
Step-by-step explanation:
Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.
Then the bottom height (h) ratio to the overall height is ...
h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36
The height h is 24 cm.
a profit of 9$ integer
Answer:
+ or - $9
Step-by-step explanation:
Why are there two solutions for the equation |6 + y| = 2? Explain.
(there should be a solution and an explanation onto why there is two answers)
Answer:
Sample response: The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the
Step-by-step explanation: