Answer:
ln 559872
Step-by-step explanation:
2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵
= ln 36 + ln 64 - ln 1/243
= ln [(36×64)/(1/243)]
= ln 559872
How many groups of tens would represent the value of the digit 4 in the number 14752?
A. 4
B. 40
C. 400
D. 4000
show me why
Answer:
C. 400
Step-by-step explanation:
The number 14752 is "Fourteen thousand, seven hundred and fifty two"
The 1 is the place of ten thousands ⇒ 10,000
The 4 is the place of thousands ⇒ 4,000
The 7 is the place of hundreds ⇒ 700
The 5 is the place of tens ⇒ 50
The 2 is the place of units ⇒ 2
So we need to find how many groups of tens are in 4000.
To do this, divide 4000 by 10.
To divide anything by 10, simply move the decimal point one place to the left.
Therefore, there are 400 groups of ten in 4000
as 400 × 10 = 4000
Jack has $1,331 in an account that earns 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
$1540.80
Step-by-step explanation:
Answer: 1540.80
Step-by-step explanation: i got it right on my ixl
help :(
“two less than a number is less than or equal to thirty three”
- The inequality translated in numerical form
- The solution in set notation
- The solution in interval notation
Answer:
- The inequality translated in numerical form
Step-by-step explanation:
Which expression is equivalent
Answer:
it should be A i think
Step-by-step explanation:
i used a calculator
your older sister tells you that you seem to be short for your age. in school, your teacher measured your height and that of your classmates to compute for your BMI. you teacher tells you that your height belongs to the 9th decile in the class. assuming you and your classmates have similar ages, would you agree with what your sister says? why?
Answer:
No.
Step-by-step explanation:
No, because the 9th decitile is equal to the 90th decitile, and so that means that you're tall.
The radius of a circle is 16 cm. Find its area in terms of pi
What is the surface area? 34 in 30 in 34 in 32 in 36 in
Answer:
If I am correct to work out the surface area you need to do base times height so the calculation would be...
32(base) × 30(height)
which equals 960 square inches
Please do check with someone else the answer, as I am not that confident and new
Mia opens a new savings account with $675 from her birthday last week.
* The bank pays 8% annual simple interest
* She makes no other deposits or withdrawals
What would be her total interest in her account, at the end of 4 years?
Answer:
$891
Step-by-step explanation:
This is Your Answer: $891, Steps below
1. Find the surface area of the square pyramid. 13 m 14 m
Answer: [tex]560m^2[/tex]
Step-by-step explanation:
First begin by finding the surface area of the base, which is simply length * width. In this case,
[tex]14*14 = 196 m^2[/tex]
Next, find the surface area of one of the sides of the pyramid. This formula for this is:
[tex]\frac{1}{2}*base*height[/tex]
Since we know the height to be 13 meters and the base to be 14 meters, we can solve for one side.
[tex]\frac{1}{2}*14*13 = 91 m^2[/tex]
We multiply this by 4 to give us all 4 sides of the pyramid:
[tex]91m^2 * 4 = 364m^2[/tex]
Adding together the surface area of the sides and the base gives us:
[tex]196m^2 + 364m^2=560m^2[/tex]
heeeeeeeeeeelllllllllppppppppppppp
Answer:
88
Step-by-step explanation:
The area of a triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The height here is 11 and the base is 16
1/2*16*11 = 88 units square
determine how many ways a president, vice president and treasurer can be chosen from a math club that has 7 members.
Answer:
210
Step-by-step explanation:
There are 7 choices for president.
Then there are 6 choices for vice-president.
Finally, there are 5 choices for treasurer.
7 × 6 × 5 = 210
rearrange q=w/3-7 to make w the subject
q=w/ 3-7
q(3-7)= w
hope this helps :)
Answer:
w = 3q + 21
Step-by-step explanation:
assuming you mean
q = [tex]\frac{w}{3}[/tex] - 7 ( add 7 to both sides )
q + 7 = [tex]\frac{w}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
3(q + 7) = w , that is
w = 3q + 21
can someone help me.
Step-by-step explanation:
side of square = 10
area of square = side² = 10² = 100 cm²
P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???
-2x+4y=28
-3x +2y = 6
Solve for x
Answer:
x=4, y=9
Step-by-step explanation:
Solve with substitution.
In the figure shown, what is the measure of angle x?
Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.
100 degrees
110 degrees
120 degrees
140 degrees
➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.
We know that,
Sum of all interior angles of a triangle = 180°.
[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°
[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°
So, the measure of [tex]\angle[/tex]ACB = 70°.
➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.
As we know that,
Sum of any two or more angles that lie on a straight line = 180°.
So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.
Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.
____________________________
Hope it helps you:)
B
An athlete ran uphill at 3 metres per second for x seconds , downhill
at 6 metres per second for y seconds and covered a total distance
of 375 metres . If the athlete took 5 seconds longer to run uphill than
downhill, calculate the values of xandy.
(5)
Step-by-step explanation:
- The distance traveled to get to the top of the hill will be equal to the distance traveled to get to the bottom of the hill. Distance down the hill = Distance up the hill = 187.5 meters.
- Only the speed of going up the hill and down the hill will be different.
4/15, 5/27, 7/18 Arrange the fractions in ascending order
Answer:
Take lcm and see
Step-by-step explanation:
5/27 ;4/15 ;7/18
Mrs. smith has $1500 in a retirement account earning 5% interest. each year she makes an additional deposit of $500 to her account. after 3 years, what would her account balance be?
Answer:
$3,312.69
Step-by-step explanation:
What she started with: $1500
Year 1: 1500 + 1500(.05) + 500 = $2,075
Year 2: (2.075)1.05 + 500 = $2,678.75
Year 3: (2678.75)1.05 + 500 = $3,312.69
is (1,9) included in the graph p=3m+6
PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product <-1, -3, -8> x <7,4, -5>. Is the resulting vector perpendicular to the given vectors?
<47, -61, 71>; yes
<41, -59, 77>; no
<-59, 71, 41>; yes
<41, -61, -59>; no
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
Complete the reasons for the proof.
given:
m 3 = m 4
Prove 1 and 2 are supplementary
Answer:
m3 and m4 are supplementary
Step-by-step explanation:
since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below
Which of the following lines is perpendicular to the line with this equation ?
y =4/5X – 12
a. y= -4/5x +9
b. y=5/4x +4
c. y= -5/4x -15
d.y= 4/5x -5
Answer:
soln,
a
y=5/4×-15
Answer:
C: y = -5/4x - 15
Step-by-step explanation:
A perpendicular line is always the negative reciprocal of the slope. In this case, the slope is 4/5. Therefore, the negative reciprocal is -5/4. Only look at the numbers connected to X for the slope, do not look at the constant.
PLEASE HELP TAKING TEST RN what are the midline, amplitude, period of this function?
Answer:
midine y=2
amplitude -3
period 5pie
Simplify this exponential expression:
(-49) 2/5
Answer:
I think it is 12 4/5
Step-by-step explanation:
hope this helps if not let me now
Find x to the nearest tenth
Answer:
[tex] {x}^{2} = {8.6}^{2} + {11.5}^{2} \\ {x}^{2} = 73.96 + 132.25 \\ x = \sqrt{206.21} \\ x = 14.185 \\ x = 14.19[/tex]
14.19
jason is wrapping a gift.The box he is using is a rectangular prism with a length of 20 inches a width 12 inches and a height of 5 inches.Find how many square inches of paper does he need to wrap the intire box?
Answer:
Step-by-step explanation:
Surface area of rectangular prism:
length = l = 20 in
width = w = 12 in
height = h = 5 in
[tex]\boxed{\text{surface area of rectangular prism = 2*[lw + wh + hl]}}[/tex]
= 2* [ 20*12 + 12*5 + 5*20]
= 2* [240 + 60 + 100]
= 2 * 400
= 800 in²
As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun is between Earth and Mars (Point B). The distance from the Sun to Mars is approximately 2.3 times 10 Superscript 8 km, and the distance from the Sun to Earth is approximately 1.5 times 10 Superscript 8 km.
The rotations of Earth and Mars around the sun.
Which statements are true? Check all that apply.
Answer:
ummmm i think its B and D
Step-by-step explanation:
what expression is equivalent to 1/4 (x+24)
Use the Distributive Property, which states the following:-
[tex]\sf{a(b+c)=ab+ac}[/tex]
Where
we distribute a by multiplying it times b and c
a, b, and c can be either constants (numbers) or variables (letters)
Distribute:-
[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]
Multiply the term before the parentheses by the terms inside the parentheses:-
[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
The bakers at healthy bakery can make 320 bagels in 10 hours. How many bagels can they make in 15 hours? What was the rate per hour?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Unitary method ~
[tex]\qquad \sf \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]
[tex]\qquad \sf \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]
[tex]\qquad \sf \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]
So, the rate per hour is 32 bagels ~
[tex]\qquad \sf \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]
[tex]\qquad \sf \dashrightarrow \:15 \: hr = 480\: bagels[/tex]
So, they can prepare 480 bagels in 15 hours
Answer:
480 bagels
Step-by-step explanation:
320 bagels in 10 hours.
⇒ 320 bagels = 10 hours
Divide 10 both sides to find the rate per hour:
⇒ 320/10 bagels = 10/10 hours
⇒ 32 bagels = 1 hours
Multiply 15 both sides to find the number of bagels in 15 hours
⇒ 32 bagels = 1 hours
⇒ 32 x 15 bagels = 1 x 15 hours
⇒ 480 bagels = 15 hours
i need help 9th grade math
Answer:
g(x) = 4x + 5
Step-by-step explanation:
f(x) + g(x) = 10x + 7 , then
6x + 2 + g(x) = 10x + 7 ← subtract 6x + 2 from both sides
g(x) = 10x + 7 - 6x - 2 ← collect like terms
g(x) = 4x + 5
Let's find
(f+g)(x)=f(x)+g(x)10x+7=6x+2+g(x)g(x)=10x-6x+7-2g(x)=4x+5Option D
