Answer:
6/7 inches
Step-by-step explanation:
If 7 stamps fit perfectly, we can find the width of each stamp by dividing the width of the frame by 7:
= 6/7
So, the width of each stamp is 6/7 inches
SOMEONE PLEASE HELPPPPPPPPPP
Answer:
the formula for the volume of a square pyramid is V=a^2*h/3
so if we just put in the data
12^2*10/3
144*10/3
480
so the answer is B
Hope This Helps!!!
There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose the members to go to the conference by a random process. How many different combinations of four council members can be selected from the nine who want to go to the conference
Answer:
126
Step-by-step explanation:
There are 9 city council members.
We have to choose 4 of them.
We have to use the combination as :
[tex]$^9C_4$[/tex]
where, 9 is the population size
4 is the sample size.
Therefore, the total number of possible samples without replacement is given as :
[tex]$^9C_4=\frac{9!}{4!(9-4)!}$[/tex]
[tex]$=\frac{9!}{5! \ 4!}$[/tex]
[tex]$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$[/tex]
= 126
(b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t).
Answer:
[tex]A'(t) = rA(t)[/tex]
Step-by-step explanation:
Given
[tex]A(t) \to[/tex] Amount
Required
The differential equation
The equation for the amount is:
[tex]A(t) = A_0 * e^{rt}[/tex]
Where:
[tex]A_0 \to[/tex] initial amount
[tex]r \to[/tex] rate
[tex]t \to[/tex] time
Differentiate[tex]A(t) = A_0 * e^{rt}[/tex]
[tex]A'(t) = A_0 * r * e^{rt}[/tex]
So, we have:
[tex]A'(t) = rA_0 * e^{rt}[/tex]
From the question, we have: [tex]A(t) = A_0 * e^{rt}[/tex]
So, the equation becomes
[tex]A'(t) = rA(t)[/tex]
PLEASE HELP THIS IS MY LAST QUESTIONNNN
- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.
- How many kilowatt-hours of electricity did Dalton use?
Answer:
500 kilowatt-hours.
Step-by-step explanation:
Let k = number of kilowatt-hours.
[tex]0.15k+30=105\\0.15k=75\\k=500[/tex]
Therefore, Dalton used 500 kilowatt-hours of electricity.
PLEASE ANSWER!! I don’t understand
Answer:
[tex]m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}[/tex]
Step-by-step explanation:
By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.
In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since [tex]\angle 2[/tex] forms an arc labelled 244 degrees, the measure of angle 2 must be [tex]\frac{244}{2}=\boxed{122^{\circ}}[/tex].
Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:
[tex]\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}[/tex]
El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el perímetro del terreno?
Respuesta:
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 1,52 m²
Explicación paso a paso:
Dado que el área del rectángulo = Largo * Ancho
Convertir cm a m
Los 36cm = los 0.36m
Los 40cm = los 0.4m
Sustituir;
Área del rectángulo = 0.36 * 0.4
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 2 (L + W)
Perímetro del rectángulo = 2 (0.36 + 0.4)
Perímetro del rectángulo = 2 (0,76)
Perímetro del rectángulo = 1,52 m²
The ages of Raju and Ravi arw the ratio of their ages will be 4:5 . Find their present ages.
Answer:
Step-by-step explanation:
The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
Ratio of ages at present = 3:4
Age of Raju = 3x
Age of Ravi = 4x
Age after four years:
Raju's age = 3x + 4
Ravi's age = 4x + 4
Ratio of ages after four year = 4 : 5
3x +4 : 4x + 4 = 4 : 5
(4x + 4)*4 = (3x + 4)*5
16x + 16 = 15x + 20
Subtract 16 from both sides
16x = 15x + 20 - 16
16x = 15x + 4
Subtract 15x from both sides
16x - 15x = 4
x = 4
Age of Raju = 3x = 3*4 = 12 years
Age of Ravi = 4x = 4*4 = 16 years
PLEASE HELP!!!
Which of the following trigonometric expressions is equivalent to the x-
coordinate of the terminal point
Answer:
im pretty sure its (D)
Step-by-step explanation:
PLEASE HELP! Use the graph to solve the system of equations.
A. (-5,0)
B. (0,5)
C. (0,0)
D. (2,3)
Answer:
D
Step-by-step explanation:
Look for the intersection point of the two graphs
Another way:
You can just substitute each pair in both equations and u will find that d is the correct answer
In a geometric sequence, the term a(n+1) can be smaller than the term a(n-)
Answer:
the answer is true
Step-by-step explanation:
the ratio is less than 1
Que cantidad se obtiene al resolver la siguiente operacion: [4+{(2-5)2-4(7-5)3+2(15/3)}]- Raiz cuadrada de 16
Respuesta:
-13
Explicación paso a paso:
Dada la ecuación:
[4 + {(2-5) ²-4 (7-5) ³ + 2 (15/3)}] - Raíz cuadrada de 16
La raíz cuadrada de 16 se escribe como √16
[4 + {3² - 4 (2³) + 2 (5)} - √16
4 + {9 - 4 (2 * 2 * 2) + 10} - 4
4 + {9 - 4 (8) + 10} - 4
4 + {9 - 32 + 10} - 4
4 - 13 - 4
= -13
the perpendicular distance of p (3,4) from the y - a x is _____
Answer:
a
Step-by-step explanation:
The perpendicular distance from the y- axis is the value of the x- coordinate, so
perpendicular distance is 3 units
Find the answer to each trigonometric function below.
Answer:
Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]solve g(x)=(the square root of x+1)+3
Step-by-step explanation:
solve for what ?? do you mean graph the function??
Please help me I keep on getting the third box wrong
Answer:
[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]
Step-by-step explanation:
[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]
What is the domain of the function on the graph?
•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0
Answer:
all real numbers
Step-by-step explanation:
got it right
Answer:
A
Step-by-step explanation:
it is all real numbers
brainiest please
A shopkeeper allows discount of 12% on the marked price of a certain article and makes a profit of 10%. if the article costs the shopkeeper Rs.420. what price should be the marked price?
Answer:
rs288
Step-by-step explanation:
MP of the article = 210×120100×10087.5= Rs.288210×120100×10087.5= Rs.288
Part of solved Discount questions and answers : >> Aptitude >> Discount
Pls help before the clock hits 50 :(
Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0
Answer:
-6
Step-by-step explanation:
someone help me with my algebra homework please
Answer:
15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
5a - 10b = 45
b = 3
Step 2: Solve for a
Substitute in b [Equation]: 5a - 10(3) = 45Multiply: 5a - 30 = 45[Addition Property of Equality] Add 30 on both sides: 5a = 75[Division Property of Equality] Divide 5 on both sides: a = 15Answer:
a=3
Step-by-step explanation:
5a-10b=45
when b=3
5a-10×3=45
5a-30=45
collect like terms
5a=45-30
5a=15
a=3
PLS HELP ASAP¡!!!
solve for f(3) if
f(x)=x^3+2x^2-x-1
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 47% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is
Answer:
The correct response is "0.0129".
Step-by-step explanation:
Given:
[tex]n=1500[/tex]
[tex]p=0.47[/tex]
[tex]np=1500\times 0.47[/tex]
[tex]=705[/tex]
[tex]nq=1500\times (1-0.47)[/tex]
[tex]=795[/tex]
Mean of sampling distribution will be:
[tex]\mu_\hat{p}[/tex] = [tex]0.47[/tex]
hence,
The standard deviation will be:
⇒ [tex]\sigma_\hat{p}[/tex] = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
By putting the values, we get
= [tex]\sqrt{\frac{0.47(1-0.47)}{1500} }[/tex]
= [tex]0.012886686[/tex]
= [tex]0.0129[/tex]
Joe drinks some milk every day. The graph shows the proportional
relationship of how many liters of milk Joe drinks to number of days.
Find the amount of milk he drinks in 7 days.
====================================
Explanation:
Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.
See the diagram below.
The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14
This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.
Answer:
The correct answer is 14 liters
Step-by-step explanation:
When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer
Let me know if I did anything wrong. :)
Please help me with 1-6 (means) ASAPPPPP
I will give brainiest
Answer:
Geometric mean of [8,18] = 12Geometric mean of [3,7] = 4.58Geometric mean of [5,8] = 6.32Geometric mean of [8,4] = 5.65Geometric mean of [6,3] = 4.24Geometric mean of [2,8] = 4Step-by-step explanation:
Given:
Geometric mean of two digit = √ab
Answer 1;
Geometric mean of [8,18] = √(8)(18)
Geometric mean of [8,18] = √144
Geometric mean of [8,18] = 12
Answer 2;
Geometric mean of [3,7] = √(3)(7)
Geometric mean of [3,7] = √21
Geometric mean of [3,7] = 4.58
Answer 3;
Geometric mean of [5,8] = √(5)(8)
Geometric mean of [5,8] = √40
Geometric mean of [5,8] = 6.32
Answer 4;
Geometric mean of [8,4] = √(8)(4)
Geometric mean of [8,4] = √32
Geometric mean of [8,4] = 5.65
Answer 5;
Geometric mean of [6,3] = √(3)(6)
Geometric mean of [6,3] = √18
Geometric mean of [6,3] = 4.24
Answer 6;
Geometric mean of [2,8] = √(2)(8)
Geometric mean of [2,8] = √16
Geometric mean of [2,8] = 4
Ardi and Lei are both travelling by train.
Ardi's train travels 70 km in 35 minutes.
Lei's train travels 585 km.
It leaves at 9:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
10 kilometer/hour
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Ardi:
Total distance travelled = 70 km
Total time taken = 35 minutes = 35/60 hour
Average speed = Total distance travelled / Total time taken
= 70 km ÷ 35/60 hr
= 70 × 60/35
= 4,200/35
= 120 kilometer/hour
Lei:
Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes
= 4.5 hours
Average speed = Total distance travelled / Total time taken
= 585 km / 4.5 hours
= 130 kilometer/hour
Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train
= 130 kilometer/hour - 120 kilometer/hour
= 10 kilometer/hour
what is the answer to the problem
The Law of Sines: Mastery Test ? In triangle ABC, how long is side a if A = 24°, C = 55°, and c = 3? O 1.49 O 1.31 O 6.04 O 0.1
Answer:
Step-by-step explanation:
Using the Law of Sines, our proportion would be
[tex]\frac{sin24}{a}= \frac{sin55}{3}[/tex] and cross multiply to get
3sin24 = asin55 and solve for a:
[tex]a=\frac{3sin24}{sin55}[/tex] so
a = 1.49, the first choice.
what are all the factors 24? please help lol
Answer:
factors are 1,2,3,4,6,8,12,24
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(1,-3) and (4,-6)
Step-by-step explanation:
The solutions are where the linear line intersects the graphed parabola.
if f(x)=2x/x-5 find f^-1(x)
Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )
y(x - 5) = 2x ← distribute left side
xy - 5y = 2x ( subtract 2x from both sides )
xy - 2x - 5y = 0 ( add 5y to both sides )
xy - 2x = 5y ← factor out x from each term on the left side )
x(y - 2) - 5y ← divide both sides by y - 2
x = [tex]\frac{5y}{y-2}[/tex]
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]
Look into the image. I hope it helps❤
#CarryOnLearningA certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that the plane is flying? Round to the nearest degree.
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees