Answer:
The answer is - 65Step-by-step explanation:
From the question the nth term of the sequence is
3n² - 10
where n is the number of terms
Since we are finding the 5th term
n = 5
Substitute this value into the above formula
That's
3(5)² - 10
= 3( 25) - 10
= 75 - 10
We have the final answer as
- 65Hope this helps you
3. Miss. Mead pays Miss. Adams $160.00 per week. She works 40 hours per week. Miss. Adams
was idle for 4 hours and 30 minutes during one week. How much did Miss. Mead pay for idle
time?
SHOW
a. $16.00 b. $18.00 c. $22.00 d. $24.00
Answer:
B. $18.00
Step-by-step explanation
160/4 divide 160 by 4 to see how much Miss Adams makes and hour
She makes $4 an hour
multiply this ($4) by her idle time (4.5) hours to get $18
Evaluate the function below at x=7. Then enter your solution rounded up to 2 decimal places. 1500•1.09^x
Answer:
Value of the function will be 2742.06
Step-by-step explanation:
Given function is,
f(x) = 1500(1.09)ˣ
By substituting the value of x we can find the value of the given function.
For x = 7,
f(7) = 1500(1.09)⁷
= 1500(1.828)
= 2742.0587
≈ 2742.06
Value of the function will be 2742.06
reduce 63/72 to its lowest terms
Answer:
7/8
Step-by-step explanation:
63 ÷ 9/72 ÷ 9
= 7/8
Answer:
7/8
Step-by-step explanation:
63/9 = 7
72/9 = 8
then:
63/72 = 7/8
If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter.
Answer:
The perimeter of the Rhombus is 100 cm
Step-by-step explanation:
First of all, we will need to find the length of the other diagonal.
let’s call the diagonals p and q
Mathematically, the area of the Rhombus is;
pq/2 = Area of Rhombus.
Let’s call the missing diagonal p
So;
(p * 14)/2 = 336
14p = 672
p = 672/14
p = 48 cm
Now, we can find the perimeter of the Rhombus using these diagonals.
Mathematically;
P = 2 √(p^2 + q^2)
Substituting these values, we have;
P = 2 √(14)^2 + (48^2)
P = 2 √(2500)
P = 2 * 50
P = 100 cm
The perimeter of the rhombus is the sum of its side lengths
The perimeter of the Rhombus is 100 cm
The length of one of its diagonal is given as:
[tex]p= 14[/tex]
And the area is given as:
[tex]A = 336[/tex]
Assume the other diagonal is q.
The area of the rhombus is represented as:
[tex]A = \frac{pq}2[/tex]
So, we have:
[tex]336 = \frac{14q}2[/tex]
This gives
[tex]336 = 7q[/tex]
Divide both sides by 7
[tex]48 = q[/tex]
Rewrite as:
[tex]q = 48[/tex]
The perimeter (P) of the rhombus is calculated as:
[tex]P =2\sqrt{p^2 + q^2[/tex]
So, we have:
[tex]P =2\sqrt{48^2 + 14^2[/tex]
Evaluate the squares
[tex]P =2\sqrt{2500[/tex]
Take positive root of 2500
[tex]P =2 \times 50[/tex]
[tex]P =100[/tex]
Hence, the perimeter of the Rhombus is 100 cm
Read more about areas and perimeters at:
https://brainly.com/question/14137384
A box of 15 cookies cost nine dollars what is the cost of one cookie
Answer:
$1.67
Step-by-step explanation:
Divide 15 by 9 to find the price of one cookie:
15/9 = 1.67
= approximately $1.67
Pls answer this urgently
Answer:
The pic there has a step by step explanation
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]
[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]
[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]
[tex]= \frac{992640625^t6}{1265625}[/tex]
[tex]= \frac{922640625tttttt}{1265625}[/tex]
[tex]= 729t^6[/tex]
Answer : [tex]729t^6[/tex]
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If this helped you, could you maybe give brainliest..?
❀*May*❀
Find the solutions to $x^2 + 64 = 0.$[tex]Find the solutions to $x^2 + 64 = 0.$[/tex]
Answer:
x=8i,\:x=-8i
Step-by-step explanation:
x^2+64-64=0-64
x^2=-64
x=\sqrt{-64},\:x=-\sqrt{-64}
x=8i,\:x=-8i
Which of the following are true statements about the expression 5 + (-5)
1. the expression equals 0.
2. The expression equals 10.
3. The expression describes the number that is 5 to the left of 5 on the number line.
4. The expression describes the number that is 5 to the right of 5 on the number line.
Answer:
[tex]\huge\boxed{\sf The \ expression\ equals \ zero}[/tex]
Step-by-step explanation:
=> 5 + (-5) [ + (-) = - ]
=> 5 - 5
=> Zero
Answer:
The answer is option A-The expression equals 0.
Step-by-step explanation:
The graph of f(x)=sin(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 4 and shifting it 3 units down. What is the equation of the new function g(x) ?
Answer:
f(x) = 4sin(x) - 3
Step-by-step explanation:
A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:
[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]
a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19
Which of the following can be used to express the total area of a figure?
A. (5)(4x)(3x)
B. 12x^2 + 15x
C. (3x + 4x) (5)
D. 3x (4x + 5)
Answer:
The answer is option BStep-by-step explanation:
The figure above is a rectangle
Area of a rectangle = length × width
From the question
The total length of the rectangle = 3x
The total width of the rectangle = 4x + 5
So the area of the figure is
A = 3x( 4x + 5)
Expand
We have the final answer as
A = 12x² + 15xHope this helps you
Plz Help I would appreciate it!!!
Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
Nan left her house at 1 p.m. driving at a constant speed of 40 miles perhour. If she continues at that same speed for the entire trip, she will reach
her destination at 4:45 p.m. If Nan were to drive 10 miles per hour faster,
how much quicker would she arrive?
Answer:
45 minutes faster
Step-by-step explanation:
Distance:
40 x 3.75 = 150
If travel 50 miles/h:
150/50 = 3
3.75 - 3 = 0.75 of hour
45 minutes
Hope that helped!!! k
help me with guys plzzzzz
Answer:
C
Step-by-step explanation:
So the lion weighs more than the ant right?
And we wish to figure out how much greater the lion's weight is compared to the ant's weight.
So only thing we have to do is divide.
[tex]\frac{1 * 10^5}{2*10^-3} = \frac{10^5}{2*10^-3} = \frac{10^8}{2} = 50000000 = 5 * 10^7[/tex]
Answer:
5×10^7
Step-by-step explanation:
2×10^-3 1×10^5
(1×10^5)/(2×10^-3)=
5×10^7
to scheck :(2*10^-3)(5*10^7)=(1*10^5)
Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12
Answer:
-3x + y = 8.
3y = 9x.
Step-by-step explanation:
To find the slope of the lines we convert to slope-intercept form, which is
y = mx + c (m is the slope.)
The slope of y = 3x + 5 is therefore 3.
Parallel lines have the same slope.
Finding the slope of the given lines:
-3x + y = 8
y = 3x + 8 - slope is 3 so this is parallel to y = 3x + 5.
3y = 9x
Divide through by 3:
y = 3x - so this is also parallel to 3x + 5.
y = -jx The slope is -j so it is not parallel.
16x + 2y = 12
2y = -16x + 12
y = -8x + 6 - Not parallel.
Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !
Answer:
a^5b^8/a^4b^10
= a^5-4 b^8-10
= a^1 b^-2
= a/b^2
I hope this helps
if u have question let me know in comments ^_^
Write an expression to represent the product of 6 and the square of a number plus 15.
Answer:
6x^2 + 15
Step-by-step explanation:
We don't know what the square of a number is, so we represent it as x^2
The first part tells us to find the product of 6 and the square of a number, so
6x^2
The second part tells us to add 15 so,
6x^2 + 15
The expression that should be represented is [tex]6x^2 + 15[/tex]
Given that
The product of 6.The square of number + 15.Based on the above information,
Let us assume the number should be x
So, from the above information, the expression should be [tex]6x^2 + 15[/tex]
Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]
Learn more about the equation here:brainly.com/question/21105092?
1. An average orange has a mass of 270 grams. What is the mass of 8 oranges in kg?
.
.
2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print? 1 gallon = 3.79L
.
.
3. If you are driving 55 miles per hour, how many feet per second are you traveling?
Convert hours to minutes:
Convert minutes to seconds: Convert miles to feet:
.
.
4. Ivan’s car has 40 L gas tank. If gas costs $3.67 per gallon how much does it cost to fill her tank?
1 L = .264 gallons
Convert liters to gallons: Calculate the cost of gasoline:
.
.
5. A child requires a 5 mL dose of medicine each day. How many days would a liter of this medicine last?
Answer:2.the answer is 189,250pages
Step-by-step explanation:
1L=1000ml
3.785=?3785
1ml=50pages
3785ml=?
The answer is 189,250
4x +16 x+4
Simplify your answer as much as possible.
Answer:
20x+4
Step-by-step explanation:
Plz help with this question! What is 1/3 * 3/5 * 5/7 ... * 97/99
Answer:
Step-by-step explanation:
(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)
The denominator of each fraction will cancel out the numerator of the next fraction.
Take a close look
Therefore the result is 1/99
HOPE IT HELPS!!
The product of the geometric series is 1/99.
The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.
Here's the explanation:
A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.
In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.
The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.
The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:
S = a × (1 - [tex]r^{n}[/tex]) / 1 - r
where a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:
S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99
Therefore, the product is 1/99.
Learn more about geometric series here: brainly.com/question/30264021
#SPJ2
In the figure below, if x = 80° and z =
36°, find y.
Step-by-step explanation:
theanswer is 64 degrees
Please answer the question in the image below ASAP
Answer:
Option A Center: 2,-3 radius =5Step-by-step explanation:
[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]
The above equation is the general standard equation for the circle centered at (h,k) with radius r
Given that the equation of the circle is
[tex](x-2) ^2+(y+3) ^2 =25[/tex]
Comparing this with the general equation we can get the center and the radius as
[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]
We can now see that
h= 2
k= -3 and
r= 5
solve for x 7(x+2) =6(x+5)
Answer:
16
Step-by-step explanation:
Distribute 7 into x and 2, which gets you 7x+14. Then distribute 6 into x and 5, which is 6x+30. 7x-6x= x, 30-14=16 so there’s your answer.
Answer:
Step-by-step explanation:
7x + 14 = 6x + 30
x + 14 = 30
x = 16
Evaluate 2^2⋅4^3=
Your answer
Answer:
256
Step-by-step explanation:
First, handle the exponent:
2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)
Now multiply those two outcomes:
4*64=256
This equation is also known as 4⁴
Could you pretty please answer these? I really need this done now
Thank you!
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Round to the nearest hundredth.
This is a problem using the Pythagorean theorem.
The square of the length required is 122 + 122 + 302 = 1188
The length is the square root of this number; I will leave it to you to extract the square root.
Answer:
34.47
Step-by-step explanation:
I need help It’s honors 7 math pls help
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
What is the real part of 4 - 5i
Answer:
5i is an imaginary number
In these questions it contains two parts
real and imaginary parts . thus answer to these questions is 5i
Explanation
Complex Number is the number which contains both real and imaginary numbers i is the specified elements. 5i is an imaginary parts number and 4 is real part number.
Thus we conclude that above statement for the question is correct.
To know more about the complex number
https://brainly.com/question/20566728
Solve the equation for x
Answer:
the answer is 5
Step-by-step explanation:
2x/5 - 9 = -7
2x/5 = -7 + 9
2x/5 = 2
2x = 2 * 5
2x = 10
x = 10/2
x = 5
Answer:
x = 5
Step-by-step explanation:
2
--- x - 9 = -7 add 9 both sides
5
2
--- x - 9 + 9 = -7 + 9
5
2
--- x = 2 multiply both sides by 5
5
2
5 * --- x = 2 * 5
5
2x = 10
x = 10 / 2
x = 5
32.
What is the value of x for ∆DEF?
HELP! Answer if you can!!
Step-by-step explanation:
[tex]c^{2} = {a}^{2} + { b}^{2} [/tex]
Pythagoras theorem
x²=12² + 5²
x²=144+25
x²=169
[tex]x = \sqrt{169} [/tex]
x=13
Answer:
x = 13
Step-by-step explanation:
Using the Pythagorean Theorem to find the missing hypotenuse side:
[tex]a^2+b^2=c^2[/tex]
12 and 5 are a and b. 'x' would be c.
[tex]12^2+5^2=c^2\\\\12^2=144\\5^2=25\\\\144+25=c^2\\\\169=c^2\\\\\sqrt{169}=\sqrt{c^2}\\\\\boxed{13=c}[/tex]
'x' should be equal to 13.
