Answer:
4.9 x 10^5
Step-by-step explanation:
the answer is 4.9 x 10^5
Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?
Answer:
Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Step-by-step explanation:
Add 3 and 1: 3 + 1 = 4.
Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Check: is the ratio
£22.5
---------- equal to 3:1? YES
£7.5
Do £7.5 and £22.5 sum up to £30? YYES
---------- =
-----
What is the domain to this graph
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
What transformation(s) were made to the original f(x) = x graph?
The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5
If AD is 10 inches long BD is 6 inches long
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
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Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.
Class width is 2
Find mode
Answer:
7.22
Step-by-step explanation:
solved in the diagram
Add the following numbers. -3 + 8 =
Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x
Answer:
I BELIEVE ITS C {^_^}
Step-by-step explanation:
The trigonometric function y = 3cos(πx) has a period 2.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
a is the function's amplitude.
The function's wavelength is b.
The phase shift of a function is c.
We already know that y = cosx has a 2 period.
The period is calculated as T= 2π/b and if T = 2.
y = 3cosx
2=2π/b
b= 2π/2 = π.
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A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.
Answer:
[tex]V = 518cm^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15cm[/tex]
[tex]R = 6cm[/tex]
[tex]r =5cm[/tex]
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
[tex]V = \pi R^2h[/tex]
After the cut-out, the cylinder has a volume of:
[tex]V = \pi [R^2 -r^2]h[/tex]
So, we have:
[tex]V = 3.14* [6^2 -5^2]*15[/tex]
[tex]V = 3.14* [36 -25]*15[/tex]
[tex]V = 3.14* 11*15[/tex]
[tex]V = 518cm^3[/tex]
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside of the bank.
Answer:
The equations
[tex]x + y = 80[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
The solution
55 dimes and 25 quarters
Step-by-step explanation:
Given
Let
[tex]x \to[/tex] quarters
[tex]y \to[/tex] dimes
[tex]Total = 80[/tex]
[tex]Worth = \$16.25[/tex]
Required
Set up a system of equation to calculate the number of each coin
The total coin of 80 implies that:
[tex]x + y = Total[/tex]
[tex]x + y = 80[/tex]
A dime = $0.1
A quarter = $0.25
So, the worth of the coin is:
[tex]0.25 * x + 0.1 * y = Worth[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
So, the equations are:
[tex]x + y = 80[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
Next, solve for x and y
Multiply the second equation by 4
[tex]0.25x + 0.1y = 16.25[/tex] by 4
[tex]x + 0.4y = 65[/tex]
Subtract from [tex]x + y = 80[/tex]
[tex]x- x + y - 0.4y = 80 - 65[/tex]
[tex]0.6y = 15[/tex]
Solve for y
[tex]y = 25[/tex]
We have:
[tex]x + y = 80[/tex]
[tex]x = 80 - y[/tex]
[tex]x = 80 - 25[/tex]
[tex]x = 55[/tex]
Hence, there are 55 dimes and 25 quarters
A car was traveling at a rate of x miles per
hour for 3 hours. How far did the car travel?
7. The Waltz family are planning to repave their driveway. The length of their driveway is 7 feet
longer than its width. The area of the driveway is 144 square feet. Write a quadratic equation in
standard form representing the area of the driveway.
Find the dimensions of the driveway in feet.
Width
Length =
Answer:
Dimensions Of The Driveway is Length=16 Feet & Width=9 Feet
Step-by-step explanation:
According To Question,We Have Given
Length of Driveway Is 7 feet longer than its Width
Let the Width be X Feet . So Length is (X+7)Feet
Area Of Driveway = 144 sq. Feet
X * (X+7) = 144
[tex]X^{2}[/tex]+7X=144
[tex]X^{2}[/tex]+16X-9X-144=0
X(X+16)-9(X+16)=0
X = -16 & +9 (Neglect -16 because Width=X, that Can Never be in Negative)
So X = +9
Now Put this value, We get Width = 9 Feet & Length =16 Feet
Which algebraic expression represents the phrase "four times a number"?
O4 + c
Oc-4
O 4-0
O 40
Answer:
O 40
Step-by-step explanation:
because if you are doing algebra the term for a number is a letter and instead of doing 4xO you substituted to 4O
You can get to your friends house in an hour and a half on your electric scooter.
Answer:
whats the question here?
Name three deficiency diseases associated with diet and state their causes
Answer:
Iron deficiency, hypoglycemia, and scurvy.
Step-by-step explanation:
Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.
Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia. People would have to consume more glucose or take insulin shots to get the amount back to normal.
Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.
Check if the point (-3, -5) lies on the line y= 2x -1
Plzzzzz hurry
Answer:
no
Step-by-step explanation:
To determine if the point lies on the line, substitute x = - 3 into the equation and if the value obtained equals - 5 then it lies on the line.
y = 2(- 3) - 1 = - 6 - 1 = - 7 ≠ - 5
Then the point (- 3, - 5 ) is not on the line
a chalkboard is 250 cm long and 60 cm wide what is the area of the chalkboard
Answer:
15000 cm^2
Step-by-step explanation:
Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.
Step-by-step explanation:
by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..
So, 250cm×60cm
=15,000cm² is the Area
help
PLEASE HEPP ME PLEASE
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
Help help help help
Answer:
its the second option
Step-by-step explanation:
Answer:
y = 3x - 4
Step-by-step explanation:
x = 2:
3(2) - 4 = 2
x = 3:
3(3) - 4 = 5
x = 4:
3(4) - 4 = 8
x = 5:
3(5) - 4 = 11
how to represent 7/3 on number line
Answer:
u r ANS
Step-by-step explanation:
7/3 on number line
Mark above ANS as branliest
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.
What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!
Answer:
(1,4)
Step-by-step explanation:
Hi there!
We're given the system:
y=3x+1
y=x+3
We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.
Let's start with x
Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)
3x+1=x+3
subtract 1 from both sides
3x=x+2
subtract x from both sides
2x=2
divide both sides by 2
x=1
we found the value of x
now we need to find the value of y
We do this by plugging x as 1 into either one of the equations to solve for y
let's use y=x+3 for example
substitute x as 1
y=1+3
add
y=4
we found the value of y.
Your question asks for the answer to be written as an ordered pair, which will be (1,4)
Hope this helps!
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 1 → (1)
y = x + 3 → (2)
Substitute y = 3x + 1 into (2)
3x + 1 = x + 3 ( subtract x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 1 + 3 = 4
solution is (1, 4 )
x³+y³=(x+y)(x² - xy +y²)
Answer:
__________________________________
➡️x3+y3 = (x+y)(x^2-xy+y^2)
--------------------
R.H.S
(x+y)(x^2-xy+y2)
=>x3-x^2y+xy^2+x^2y-y^2x+y3
NOW after cancelling we get :
=> x3+y3
-------------------
L.H.S
=> x3+y3
L.H.S. = R.H.S
Hence VERIFIED✔✔
_______________________________
Step-by-step explanation:
Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
AnswerAverage pay per hour 19.15
Step-by-step explanation:
1750 + 2% = 1785 pay increase
1785 x 12 months = 21420 a year
21420 divided by 52 weeks in a year averages to 411.92 weekly
Divide 411.92 by the 45 hours of work is 19.15 per hour
Brainliest please, if correct.
Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=
Answer:
26/63
Step-by-step explanation:
Try to make the denominators equal so that you can add them:
4(3)/21(3)= 12/63
2(7)/9(7)= 14/63
And now you add, which will give you:
12/63 + 14/63= 26/63
What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)
Answer:
[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]
100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answer:
10/3
Step-by-step explanation:
remember about right order
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
x + y > 0
(the ones with multiple are all separate I just couldn't attach all.)
Answer:
It's the third one, I hope so. y<1/2x
Step-by-step explanation:
I hope this helps. :)
Solving equations:
(a) 5x - 9 = 3x + 3
(b) x + 6 = 34 - x
Answer:
a) 5x - 9 = 3x + 3
5x - 3x = 3 + 9
2x = 12
x = 12 / 2
x = 6
b) x + 6 = 34 - x
x + x = 34 - 6
2x = 28
x = 28 / 2
x = 14
[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️ PLZPlease help me this is due in 5 mins!!!
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2