Answer:
The number 43 is a composite number because 42 can be divided by 1, by itself and at least by 2, 3, and 7. So it is possible to draw its prime tree. The prime factorization of 42=2*3*7
Step-by-step explanation:
hope this helps :)
HELP ASAP HOMEWORK FOR TMR!!!!
Answer:
A. 6.75, divide 13.5 by 2.
B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5
!This is the first part!
Determine el radio vector del punto medio del segmento que se forma al unir los puntos (-8, 7) y (6, 3).
Es para hoy
Answer:
The radius vector is (-8, 7) and (-1 , 5).
Step-by-step explanation:
Determine the radius vector of the midpoint of the segment that is formed by joining the points (-8, 7) and (6, 3).
The end points are (- 8, 7) and (6, 3) .
The mid point is given by
[tex]x = \frac{x' + x''}{2}\\\\y = \frac{y' +y''}{2}\\\\x =\frac{- 8 + 6}{2}=-1\\\\y = \frac{7+3}{2} = 5[/tex]
So, the radius vector is (-8, 7) and (-1 , 5).
1. Is the figure defined by points H, I, J, and Ka rhombus?
Answer: No
Step-by-step explanation:
Because in a rhombus all sides are equal.
In this opposite sides are equal and not all sides.
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Answer:
no
Step-by-step explanation:
the definition of a rhombus is a quadrilateral with 4 equal sides so we just have to either prove all the sides are equal or that two or more sides are not equal.
to do this use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
HI=5 (it's a horizontal line so it's just |-8-(-3)|=5HK=[tex]\sqrt{(-8+9)^2+(8-2)^2}[/tex]=[tex]\sqrt{1+36}[/tex]=[tex]\sqrt{37}[/tex] it isn't equalHIJK is a parallelogram but not a rhombus
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
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3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.
Answer:
98 ppl voted for Gordan
Step-by-step explanation:
a) 35% of 280=98
b) 15% of 280=42
40% of 280=112
10% of 280=28
Add 98, 42, 112, and 28 and you get 280! Hope this helps :)
You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use
Answer and explanation:
Assume Almond is a
Cashew is c
Peanuts is p
The system of equations satisfies this thus:
a+c+p= 10
7a+5c+2p= $20
The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.
Someone help plsssss
Geometry, please answer question ASAP
Answer:
Option A
Step-by-step explanation:
first calculate side b
which is 35.8
Using 2 lengths, calculate Angle G
OPTION A :)I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?
I need explanation with answer
Thank you!
50 m
Step One: Every rectangle, opposite side are equal sides.
Area=2, the area of this rectangle is 2*(l+b).
Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:
50 meters.
I hope I've helped!
When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?
Answer:
3.18%
2 between 89 91
Step-by-step explanation:
*Probability-Between 3.18%
Z1=0.04 Z2=0.12
x-1 89
x-2 (not required) 91
µ 88
σ 25
6
5 (0,4)
(5, 4)
x
3
(3, 2)
2
(-2,0) 1
-5-4-3-2 JO1
2 3
-2 (0-2)
-3
-4
-5
4
5
- 7
-8
From the graph of the function, determine the domain and the range.
Step-by-step explanation:
according to the graph,
the domain is : -2 ≤ x < 0 or 0 < x ≤ 5
=> [-2, 0) U (0, 5]
the range is : -2< y ≤ 0 or 2≤ y ≤ 4
=> (-2, 0] U [2, 4]
the answer is option 1
The domain and range of the function are,
Domain = [-2, 0) U (0, 5]
Range = (-2, 0] U [2, 4]
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the function is shown in figure.
Now, According to the graph, We get;
The domain is;
-2 ≤ x < 0
Or, 0 < x ≤ 5
Domain = [-2, 0) U (0, 5]
And, the range is;
-2< y ≤ 0
Or , 2≤ y ≤ 4
Range = (-2, 0] U [2, 4]
Thus, The domain and range of the function are,
Domain = [-2, 0) U (0, 5]
Range = (-2, 0] U [2, 4]
Learn more about the function visit:
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what's 14 1/4 in lb into ounces
Answer:
228
Step-by-step explanation:
We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.
14 1/4 or 14.25
14.25 * 16
==> 228
Meaning there are 228 ounces in 14 1/4 pounds
If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
simplify
(-3y)*(-7y)
Answer:
answer of this question is
21y^2
Find the commission on a sale of $600 with a 5% commission rate.
Answer: $30
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
10% of 600 = 60
5% of 600 = 30
Help me with this anyone
Answer:
1/4
Step-by-step explanation:
b+-sqrt b^2-4ac all over 2a
PLS HELP ME ON THIS QUESTION I WIL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete
Answer:
The number of rare coins a coin collector owns is considered discrete data.
If the range of the function f(x) =5x + 8 is 18, find its domain.
Step-by-step explanation:
f(X) = 5x+18= 18
so,
18 = 5x+18
18-18 = 5x
X= 0
so domain of the function is 0
Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution?
Answer:
B. on edge 2021
Step-by-step explanation:
y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4
Answer:
It's B :))
Step-by-step explanation:
I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!
What is the mean of the set of data?
6, 7, 10, 12, 12 ,13
answer choices:
6
10
7
11
Answer:
mean = 10
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{6+7+10+12+12+13}{6}[/tex]
= [tex]\frac{60}{6}[/tex]
= 10
Last question, thank you guys a lot for helping me out
Answer: Her earnings after taxes will be $415.80 (choice C)
How?
PER 1 HOUR: 0.77 x (13.50 x 1) = 0.77 x $13.50 = $10.395
PER 40 HOURS: 0.77 x (13.50 x 40h) = 0.77 x 13.50 x 40 = $415.80
find square. root of 85849.
Answer:
293
Step-by-step explanation:
✓85849=. 85849^1/2
= 293
Tính : 2020^3-1/2020+2021
Answer:
2020³-1/4041
Step-by-step explanation:
REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe
1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A
2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.
Answer:
1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
2. La ecuación de la recta es, y = -5·x - 6
Step-by-step explanation:
1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)
Por tanto, la ecuación vectorial de la línea es;
[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
Donde;
t = Cualquier número
2. El punto por el que pasa la recta es P (-2; 4)
La pendiente de la recta, m = -5
Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;
y - 4 = (-5) · (x - (-2)) = -5 · x - 10
∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6
La ecuación de la recta es, y = -5·x - 6
Let f(x) = x2 − 1 and g(x) = 3x. Find gf and state its domain
Step-by-step explanation:
here's the answer to your question
Answer:
[tex]g(x) \times f(x) = 3{x}^{3} -3x[/tex]
X exists for all real numbers.
Y exists for all real numbers.
What is 4 1⁄2 cm in millimetres
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
A jazz band wants to sell $6,558 worth of tickets. If each ticket costs $6, how many tickets will the band have to sell to meet its goal?
Answer:
1093 tickets
Step-by-step explanation:
Take the total amount and divide by the amount per ticket to determine the number of tickets
6558/6
1093 tickets
Answer:
The band have to sell 1093 Ticket to meet its goal
Step-by-step explanation:
Total cost = $6,558
Per Ticket cost =$6
formula:
No of Tickets = Total cost of Ticket ÷ Per Ticket Cost
= 6558 ÷ 6
No of Tickets = 1093
Check:
Total Cost = No of Ticket × Per ticket cost
= 1093 × 6
Total Cost =$6558
What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x = -9 and x = 1
O x = -5 and x = 5
O x = -4 and x = 4
O x = -1 and x = 9
Answer:
4th option, x = -1 and x = 9
Step-by-step explanation:
3(x-4)²=75
or, (x-4)²=25
or, x²-8x+16-25=0
or, x²-8x-9=0
or, x²-9x+x-9=0
or, x(x-9)+1(x-9)=0
or, (x-9)(x+1)=0
so, x-9=0 or, x=9
and x+1=0 or, x=-1
The two solutions of the quadratic equation are:
x = -1 and x = 9
How to solve the quadratic equation?The quadratic equation is:
3*(x - 4)^2 = 75
We can expand it as:
3*x^2 - 3*2*4*x + 3*16 = 75
3x^2 - 24x -27 = 0
Now, using Bhaskara's formula we get:
[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]
So the two solutions are:
x = (24 + 30)/6 = 9
x = (24 - 30)/6 = -1
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Find the area of the shaded region.
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
