Answer:
13. 1
14. 42
15. 65
Step-by-step explanation:
13.
If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.
Only one number is an integer and has a reciprocal that is an integer, the number being 1.
1/1 = 1
1/1 = 1
Average:
1+1 = 2
2/1 = 1
Therefore the answer is 1.
14.
If we multiply everything by 7x, we'd get
7 + x = 49
subtract 7 on both sides
x = 42
15.
If
pg = 50 and gr = 15
then
pg + gr = 65
factoring that would give you
g(p+r) = 65
I can't see 16 but good luck!
PGCPS ALGEBRA 1 CR (SUMMER 2021) 793023
Solve the equation
Use the equation solver to find the value of x that
makes the mathematical statement true.
1. For parentheses:
Distribute
O 0.5
0Bx93 94-03-17
63x93 126-17
• 17x
17x
O 0.5
2 If necessary
Combine Terms
O 0.87
O 1.5
23 Bx9326
-93 -93
2388
- 119
• 238
• 238
2. Apply properties:
Add Subtract
Multiply
Divide
05
To start over
Reset
You have solved the equation
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1 of 10
Answer:
See explanation
Step-by-step explanation:
The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.
A similar question that can be found online is:
[tex]8x - 8 = 4x + 12[/tex] --- to solve for x
First, collect all like terms
[tex]8x - 4x = 8 + 12[/tex]
Distribute the expression on the left-hand side
[tex]x(8 - 4) = 8 + 12[/tex]
[tex]x * 4 = 8 + 12[/tex]
Simplify like terms
[tex]x * 4 = 20[/tex]
Divide both sides by 4
[tex]x = 5[/tex]
In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.
Angle CBD= 81°
I hope it helps you...
Answer:
81
Step-by-step explanation:
∠CBD is the exterior angle of the ΔABC.
Exterior angle property:
Exterior angle equals the sum of opposite interior angles.
∠CBD = ∠ABC + ∠ACB
= 53 + 28
= 81°
Write the expression as a complex number in standard form.
( 7 - 4i ) + ( 8 + 6i )
(Please don't spam anything for points, and could you leave an explanation as well? Thanks!)
Answer:
15+2i
Step-by-step explanation:
Hi there!
We are given the following expression:
(7-4i) + (8+6i)
And we want to write it as a complex number in standard form
Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.
We can open up the parentheses on the expression
7-4i+8+6i
Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)
15+2i
The complex number is now in standard form
Hope this helps!
Do you remember how to solve a multistep linear equation with variables on both sides? Review with a Quick Check.
Solve:
5(a−1)−15=3(a+2)+4
Answer:
Step-by-step explanation:
5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition
5a -5 -15 = 3a +6 + 4, isolate the variable on one side
5a -3a = 6 +4 +5 +15, combine like terms
2a = 30, divide both sides by 2
a= 15
Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!
Answer:
(4,4)
y = 4
x = 4
Step-by-step explanation:
First we need to input y = 1/2x + 2 into 4x - 2y = 8.
4x - 2 (1/2x + 2) = 8 <-- Then solve
4x - 1x + -4 = 8
3x - 4 = 8
+4 +4
---------------------
3x = 12
3 3
x = 4
Now we need to use x and apply it to find y.
y = 1/2x + 2
y = 1/2(4) + 2
y = 2 + 2
y = 4
Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.
You need to graph the point (4,4).
I hope this helps!
Answer:
see graph (4,4)
to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)
do for both points , and draw al LINE between them...
repeat fore the second equation... the "solution" is where the two lines cross
Step-by-step explanation:
Un chip tiene un espesor de 0,12 mm y un atomo de cobre mide 0,00000000133 m.¿cuantos atomos se necesita para alinearlos en el espesor de un chip de celular uno a continuacion de otro
Answer:
El espesor de un chip es de 0.12mm
Y el diámetro de un átomo de cobre, mide aprox:
0.00000000133 m
Queremos saber cuantos átomos deberemos alinear de tal forma que la "cadena" de átomos de cobre mida 0.12mm
Eso es equivalente a ver cuantas veces entra 0.00000000133 m en 0.12mm
Primero, escribamos ambos valores en las mismas unidades, sabiendo que:
1m = 1000mm
Podemos reescribir:
0.00000000133m = 0.00000000133*(1000 mm) = 0.00000133mm
Entonces tenemos que ver cuantas veces entra 0.00000133mm en 0.12mm
Esto sera igual al cociente entre 0.12mm y 0.00000133mm, esto es:
N = (0.12mm)/(0.00000133mm) = 90,225.6
Redondeamos al próximo número entero:
N = 90,226
Esa es la cantidad de átomos que se necesitan.
Help Please!!!
Find the volume of the triangle prism?
Answer:
Formula of a triangle:
B(base)H(height) x 1/2
Area of triangle:
8(base) x 13(height) x 1/2(basically just dividing by 2) = 52(area of triangle)
Now we multiply by the actual height of the whole thing
52(area of triangle) x 11(height) = 572 cm3 is your answer.
Answer:
area of base= B=1/2 bh
=1/2×8×13
=52
height of prism=11
volume of prim= Bh
=52(11)
=572 cm³
OAmalOHopeO
8 is added to the queintel of 36 divided by 4
Answer:
[tex](36 \div 4) + 8[/tex]
[tex]9 + 8[/tex]
[tex]17[/tex]
hope this will help youAnswer: 17
Step-by-step explanation:
36/4 = 9
9 + 8 = 17
If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
5
c
B
2
-6 -5 -4 -3 -2 -1 0
2
3
4
5
-1
-2
A
D
C' = ([?],[])
--3
4x-2y=10
y=-2x-5
A.(-1,-3)
B.(-1,-6)
C.(3,1)
D.(-3,-1)
Answer:
D.-3,-1 for 4x-2y=10 y=2x-5
3) Differentiate with respect to x: a) (x²-3x+5)(2x-7)
Answer:
6x²-26x+31
Step-by-step explanation:
(x²-3x+5)(2x-7)
=2x³-7x²-6x²+21x+10x-35
=2x³-13x²+31x-35
Now to differentiate:
dx=6x²-26x+31
Oliver invested $970 in an account paying an interest rate of 7 1/2 % compounded continuously. Carson invested $970 in an account paying an interest rate of 7 3/8% compounded annually. To the nearest of a hundredth of a year, how much longer would it take for Carson's money to double than for Oliver's money to double?
Answer:
0.50 or about half a year longer.
Step-by-step explanation:
We can write an equation to model bot investments.
Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.
Recall that continuous compound is given by the equation:
[tex]A = Pe^{rt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.
Since the initial investment is $970 at a rate of 7.5%:
[tex]A = 970e^{0.075t}[/tex]
Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.
Recall that compound interest is given by the equation:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.
Since the initial investment is $970 at a rate of 7.375% compounded annually:
[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]
When Oliver's money doubles, he will have $1,940 afterwards. Hence:
[tex]1940= 970e^{0.075t}[/tex]
Solve for t:
[tex]\displaystyle 2 = e^{0.075t}[/tex]
Take the natural log of both sides:
[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]
Simplify:
[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]
When Carson's money doubles, he will have $1,940 afterwards. Hence:
[tex]\displaystyle 1940=970(1.07375)^t[/tex]
Solve for t:
[tex]2=(1.07375)^t[/tex]
Take the natural log of both sides:
[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]
Simplify:
[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]
Hence:
[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]
Then it will take Carson's money:
[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]
About 0.50 or half a year longer to double than Oliver's money.
Solve for 2. Round to the nearest tenth of a degree, if necessary.
3.9
0
H
2.2
NO0
Answer: 2
Submit Answer
Pls heparin
Answer:
x = 60.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 3.9/ 2.2
Taking the inverse tan of each side
tan ^-1 (tan x )= tan ^-1(3.9/ 2.2)
x=60.57254
To the nearest tenth
x = 60.6
I need helppppp!!!!!!!!
Answer:
√124
Step-by-step explanation:
Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2
x^2 + (√101)^2 = 15^2
x^2 = 15^2 - (√101)^2
x^2 = 225 - 101
x^2 = 124
x = √124
The answer is √124
Can someone explain and give an example of spurious correlation?
Answer:
A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!
Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.
Step-by-step explanation:
If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n
[tex]n = \frac{6}{m + 1} [/tex]
Hope it helps you...
The value of n is n= 6/( m+1).
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given:
mn - 3 = 3 - n
mn + n = 6
n(m+ 1) =6
n= 6/( m+1)
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Identifying linear pairs and vertical angles
Answer:
a. <2 and <4
b. <5 and <8
c. <6 and <7
Step-by-step explanation:
a. Vertical angles are pairs of opposite angles formed by intersecting lines (they have congruent angles).
b. Linear pairs are the adjacent angles formed by the intersection of two lines. The sum of linear pairs is always 180 degrees.
c. A pair of angles whose sum is equal to 180 degrees.
hope it helps!
Answer:
a) <7 and <5
b) <2 and <3
c) <6 and <7
Step-by-step explanation:
a) Vertical angles that have the same point, and have the same angle degrees. Such as <7 and <5.
b) A Linear pair is two angles that add up to 180 and are next to each other. Such as <2 and <3.
c) Similar to linear pair, supplementary angles are two that add up to 180. Such as <6 and <7
Hope this helped.
A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?
Answer:
4
Step-by-step explanation:
Four people will play basketball, so 10 - 4 = 6.
Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.
The rest will play soccer, which is 4.
A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?
600 in.2
1,038 in.2
1,200 in.2
2,076 in.2
Answer:
B
Step-by-step explanation:
A=(3*sqrt(3)*a^2)/2
A=(3*sqrt(3)*400)/2=1038
Answer:
B. 1,038 in.2
Step-by-step explanation:
Solve the inequality 12(1/2 x - 1/3) > 8 - 2x
O A. x>-1
O B. x > 3
O C. X>1/2
O D. x>3/2
Answer:
[tex]D. \\x>\frac{3}{2}[/tex]
Step-by-step explanation:
12(1/2x - 1/3) > 8 - 2x
6x - 4 > 8 - 2x
6x + 2x - 4 > 8 - 2x + 2x
8x - 4 > 8
8x - 4 + 4 > 8 + 4
8x > 12
8x ÷ 8 > 12 ÷ 8
x > 1.5
Guys please help me find the answer
Given
Value of Boat = $23,000
Rate = 18% per year
Time = 5 years
y = 23000(1-18/100)⁵
= 23000(82/100)⁵
So y = 23000 (0.82)
x = 5
Answered by Gauthmath must click thanks and mark brainliest
What is the length of BC? Round to the nearest tenth.
Answer:
BC ≈ 14.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )
16 × sin65° = BC , then
BC ≈ 14.5 cm ( to the nearest tenth )
solve the following simultaneous equation
4x-3y=1
x-2y=4
Answer:
(-2,-3) or x=-2 and y=-3
Rewrite the expression in the form y^n. y^5/4 / y^1/4
Answer:
y^{n+4}
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{y^n *y^{\frac{5}{4} } }{y^{\frac{1}{4} } } =y^n*y^{\frac{5}{4} } \times y^{-\frac{1}{4} } =y^{n+\frac{5}{4} -\frac{1}{4} } \\=y^{n+\frac{5-1}{4} } \\=y^{n+\frac{4}{4} } \\=y^{n+1}[/tex]
A basketball team received a care package and split it evenly among
5 players. If each player received 9 candy bars, how many candy bars
were in the care package?
Help please
Answer:
45
Step-by-step explanation:
9x5
Divide
(16x^2 + 16x^3 –6x)➗(6x–2)
ANSWER: [tex]\frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27} +\frac{10}{27(6x-2)}[/tex]
GOOD LUCK, I hope this helped!
HELPPPP me I need help don’t know the answer
Answer:
All, if you're not defining the angles.
Step-by-step explanation:
The angle ACB/BCA is 55 degrees, ACE/ECA is 125 degrees, DCE/ECD is the same as ACB/BCA, and BCD/DCB is the same as ACE/ECA
If there were 36 candies and only 12 children, how many candies would each child get?
Answer:
3 each
Step-by-step explanation:
36 / 12 = 3
.................................................
Which of the following statements is false?
Answer:
A. A Rhombus is a regular polygon
Suzy has some stickers and a sticker album. if she pastes 7 stickers on each page, she will need 21 more stickers. If she pastes 11 stickers on each page, she will need 81 more stickers. how many pages are there in Suzy's sticker album
Answer:
15 pages
Step-by-step explanation:
let x be the number of pages
7x-21 = 11x-81
4x = 60
x = 15