Answer:
1
Step-by-step explanation:
1 to the tenth power is also 1 multiplied by 1 10 times.
1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 = 1
1 to any power will always have the answer of 1.
Please help.............
.
Answer:
The length of arc is (7/12)π cm.
Step-by-step explanation:
Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :
[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]
[tex]let \: θ = 30 \\ let \: r = 3.5[/tex]
[tex]arc = \frac{30}{360} \times 2 \times \pi \times 3.5[/tex]
[tex]arc = \frac{1}{12} \times 7 \times \pi[/tex]
[tex]arc = \frac{7}{12} \pi \: \: cm[/tex]
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]
The largest x that satisfies
[tex]3x^2+17x+15=5[/tex]
is the largest solution to
[tex]3x^2+17x+10=0[/tex]
We have
[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]
[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]
and so the largest value of x we want is -2/3.
Please answer this question
Answer:
[tex] y = 9.1 [/tex]
Step-by-step explanation:
Use the Law of sines to find y in ∆WXY, given:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Therefore,
[tex] \frac{y}{sin(Y)} = \frac{x}{sin(X)} [/tex]
[tex] \frac{y}{sin(106)} = \frac{8}{sin(58)} [/tex]
[tex] \frac{y}{0.961} = \frac{8}{0.848} [/tex]
[tex] \frac{y}{0.961} = 9.434 [/tex]
Multiply both sides by 0.961 to solve for y
[tex] \frac{y*0.961}{0.961} = 9.434*0.961 [/tex]
[tex] y = 9.434*0.961 [/tex]
[tex] y = 9.1 [/tex] (to nearest tenth)
in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h. how long would it have taken annette to do the entire job alone
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do [tex]\dfrac{1}{5}[/tex] of job = 2 hours
i.e. Time for complete job done alone by Kelly =[tex]5\times2=10\ hours[/tex]
Rest of work = [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job
[tex]\dfrac{4}{5}[/tex] of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together = [tex]3\times\dfrac{5}{4}=3.75\ hours[/tex]
Let t be the time taken by Annette to do job alone.
Then, as per situation
[tex]\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6[/tex]
hence, Annette will take 6 hours to do the entire job alone.
What is the vertex of the quadratic equation below? y=x^2-8x+1 Explanation?
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).
Solve for “x” to the nearest tenth. (Hint: Find a decimal that, when multiplied by itself, will be approximately 46.)
Answer:
6.79Step-by-step explanation:
According to Question,
[tex] {x}^{2} = 46[/tex]
Squaring on both sides
[tex] \sqrt{ {x}^{2} } = \sqrt{46} [/tex]
Calculate
[tex]x = 6.79[/tex]
Let's check :
If we multiply 6.79 by itself, then the result will be approximately 46.
Hope this helps..
Best regards!!
1. A rectangle measures 6 cm by
4 cm. Another rectangle with adjacent
sides o on and x cm is geometrically
similar to it.
Find the two possible value of x.
Answer:
Two figures are similar if they have the same shape:
For example, two rectangles are similar if the quotient between length and wide is the same.
Now, we know that one of the rectangles is 6cm by 4cm.
The quotient of the lengths is 6cm/4cm = 3/2
Here we have a problem; you wrote
" Another rectangle with adjacent
sides o on and x cm ....."
I guess that this means:
The other triangle has one side with a measure of x cm, and the other side will have the lenght A, a constant number that you can complete after.
Now, if this new triangle is similar to the first one, then we must have;
If x > A.
x/A = 6cm/4cm = 3/2
x = (3/2)*A.
if x < A
A/x = 6cm/4cm = 3/2
x = (2/3)*A
There you have the two possible values of x, for a known A.
Given that StartFraction D F Over P R EndFraction = StartFraction F E Over R Q EndFraction = three-halves, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?
Answer:
The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR
Step-by-step explanation:
Given DF/PR = FE/RQ = 3/2
The Side Side Side, SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar
Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.
If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.
Answer:
D: DE/PQ = 3/2
Step-by-step explanation:
Did it on edge 2020
find the solution set of x+3>19-3x, where x is a real number
Answer:
x>4
Step-by-step explanation:
x+3>19-3x
x+3x>19-3
4x>16
x>4
Answer:
x > 4
Step-by-step explanation:
x+3>19-3xx+3x +3 > 194x > 19 -34x > 16x > 16/4x > 4Solution set:
x= (4, + ∞), x∈RSolution set as set builder notation:
A= {x | x>4, x∈R}If x = -4 ,what is the value of 5-3x
Answer:
17.
Step-by-step explanation:
5 - 3x, with x = -4.
5 - 3x
= -3x + 5
= -3(-4) + 5
= 12 + 5
= 17.
Hope this helps!
Find the area of this parallelogram.
Answer:
A = 105 inches^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 7 inches * 15 inches
A = 105 inches^2
Finding the area of a parallelogram is very similar to finding the area to that of a rectangle.
The equation for area A is [tex]A=bh[/tex] where b is the base length and h is the height.
We are given a base length of 15 inches, and the height of the parallelogram is 7 inches (not 9 inches).
[tex]A=(15 \text{ in})(7 \text{ in})\\[/tex]
[tex]=105 \text{ in}^2[/tex]
The area of the parallelogram is 105 square inches. Let me know if you need any clarifications, thanks!
20 POINTS!!!
The functions f(x) and g(x) are shown on the graph.
f(x)=|x|
What is g(x)
Answer:
Option B
Step-by-step explanation:
As shown in the picture, g(x) is the red one which can be obtained by translating f(x) - the blue one toward +x-axis direction 4 units.
=> g(x) = f(x) + 4 = |x| + 4
Answer: Choice D
g(x) = |x-4|
=================================================
Explanation:
Replacing x with x-4 shifts the xy axis four units to the left. If we fix the blue V shape to not move while the xy axis does move, then it gives the illusion of the V shape moving 4 units to the right to end up producing the red curve.
You can use a table of values to compare the two functions or you could use a graphing tool to confirm the answer.
--------
Extra info:
Choice A will move the blue graph 4 units down
Choice B will move the blue graph 4 units up
Choice C will move the blue graph 4 units to the left
A tree planter is paid $0.11 for every tree he plants. If a particular person plants 1,356 trees in an 8 hour day, how much money per hour is he earning over minimum wage this day, if minimum wage is $11.20 per hour?
Answer:
$7.45/hour
Step-by-step explanation:
$0.11/tree
1,356 trees/day
1,356 trees/day * $0.11/tree = $149.16/day
1 day of work = 8 hours
$149.16/day * (1 day of work)/(8 hours) =
= 149.16/8 $/hour
= $18.645 $/hour
Rounded to the nearest cent, he is earning $18.65 $/hour
18.65 - 11.20 = 7.45
Answer: $7.45/hour
This is a Muti-Question From 3 different Questions ____________________________________________________________________Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch? Bonnie spent $_____ on lunch. __________________________________________________________________ Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market. __________________________________________________________________ elect the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage? A. 12 B. 14 C. 15 D. 27 Please Help me with these 3 Questions!
Answer:
23.75
Step-by-step explanation:
IM GANNA HELP FOR THE SECOND ONE CUZ THE FIRST QUESTION DOESNT HAVE SOME VALUES AND THE THIRD IS KINDA HARD
BUT I HOPE I HELPED
the question:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market.
nathaniel got 2 dozen so 7$ for the oranges
4 kg so 13$ for apples
2 kg so 3.8$ for carrots
1 kg so 1.2$ for potatoes
LETS ADD IT TOGETHER
25$ TOTAL
DISCOUNT=5%
5% OF 25 IS 1.25
SO 25-1.25=23.75
SO NATHANIEL SPENT 23.75$ IN ALL
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
What is the solution to the system of equations below? y = negative one-third x + 9 and y = two-thirds x minus 12 (21, 2) (21, –10) (–21, 16) (–21, –26)
Answer:
21 2
Step-by-step explanation:
Answer:
21, 2 aka option A
Edge 2020
A motorist travels for 3 hours at a certain speed and then increase his speed by 10 km for the next 4 hours If he travels 335 km altogether, Find his speed for the First 3 hours
Answer:
See the answer below.
Step-by-step explanation:
We know that: [tex]d=S\times t[/tex]
So, using the given data, we can write an equation for the total distance travelled as:
[tex]3\times S+4\times (S+10)=335\\\\\Rightarrow S\approx 42.1\:Km/h[/tex]
Best Regards!
Find f'(x) for f(x) = 5x2 − 3x + 12. 10x + 12(this answer is incorrect) −10x − 3 10x − 3 None of these
What are ya sayin
Step-by-step explanation:
Answer:
10x-3
Step-by-step explanation:
f'(x) means just find the derivative, which can be done via calculator (the more advanced ones, anyway)
Also, I am super late to the question, but...hope it still helps?
Andy spins the spinner and rolls a standard number cube. Find the probability that the spinner will stop on yellow and the cube will show a three or five. Write the probability as a fraction in simplest form.
Answer: 1/5 , 1/2, and 5/6
Step-by-step explanation:
given;
probability that the cube shows a three (3) or five (5).
probability that it stops on yellow.
1. the probability p of the spinner stopping on yello
= 1/5 times
a cube has 6 sides
2. probability that it shows a 3
this is going to be 3 divided by the total sides on the cube which is 6
P = ( 3 ) = 3/6
Divide both side by 3
= 1/2.
3. probability that it shows a 5,
this is going to be 5 divided by the total sides on the cube which is 6
P = ( 5 )
= 5/6.
Please answer it now in two minutes
Answer:
0.9
Step-by-step explanation:
This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.
Answer:
59 degrees
Step-by-step explanation:
Sin = opposite / hypotenuse
In this case sin is 6/7
To find the angle of this we need to use the arcsin, or sin^-1 function
Arcsin(6/7) = 58.9972809 degrees
This gets rounded to 59 degrees
Of the 30 people riding the bus to work today, 3 rode a bike to work yesterday, 7 drove a car to work yesterday, and the rest rode the bus to work yesterday. If one of the 30 people riding the bus to work today is selected at random, what is the probability that the person selected will ride the bus to work tomorrow?
Answer:
2/3Step-by-step explanation:
This is a probability question and we have to calculate the sample size.
given the sample size S= 30
3 rode a bike
7 drove a car
20 rode bus
The probability of selecting a person that will take a bus is
[tex]Pr(bus)= 20/30= 2/3[/tex]
PLZZ HELP MEEEEEEEEEE
In square units, what is the area of the sector that is not shaded?
Answer:
[tex] A = 350\pi \approx 1100 [/tex]
Step-by-step explanation:
The shaded area is a sector with a central angle of 45 deg.
The total measure of the central angle of a full circle is 360 deg.
The central angle of the unshaded sector is
360 deg - 45 deg = 315 deg
The area of a sector of a circle with a central angle of n degrees and a radius r is
[tex] A = \dfrac{n}{360}\pi r^2 [/tex]
[tex] A = \dfrac{315}{360}\pi \times 20^2 [/tex]
[tex] A = 350\pi \approx 1100 [/tex]
While watching a circus show, I counted out the number of acrobats and elephants. I counted 40 legs and 15 heads. How many acrobats did I see in the show?
Answer:
y=10 ( number of acrobat)
Step-by-step explanation:
let x be the elephant and y the acrobat
elephant has 4 legs and acrobat 2
4x+2y=40
x+y=15 ⇒x=15-y
substitute for x in the equation:
4(15-y)+2y=40
60-4y+2y=40
-2y=40-60
y=-20/-2
y=10 ( number of acrobat)
number of elephant=15-10=5 elephants
If you had a cube with a side length of 4, how can your write the calculations in exponential form? What are 2 other ways to read the exponent verbally?
Answer: 4^3
(Four cubed or Four to the power of 3)
Step-by-step explanation:
Ten points! Solve for x: 1 x > 7 B) 4 x > 1 D) −2 < x < 1
[tex]\text{Solve:}\\\\1 < x + 3 < 4\\\\\text{Subtract 3 from all 3 sides}\\\\-2<x<1\\\\\boxed{-2<x<1}[/tex]
Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
Corrina has two jobs. On Monday, she worked the first job at a rate of $8.50/hr., for 6 hours, and
then the second job at a rate of $9.21/hr., for 4 hours. What was her total pay on Monday?
Answer: $77.84
Step-by-step explanation:
First multiply 8.5*6 to get 51. Thus, she made 51 dollars from her first job.
Then multiply 9.21*4 to get 26.84. Thus, she made 26.84 dollars from her second job.
Then add her first and second jobs(51+26.84) to get $77.84
Hope it helps <3
Need help!! Please if you know this go ahead and answer but if you don’t don’t bother!! Thanks
Work Shown:
area of base = 18*17 = 306 square yards
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(306)*(15)
V = 1530 cubic yards
Answer:1530
Step-by-step explanation: length*width*height* divided by 3
In the picture down below
Answer:
b
Step-by-step explanation:
trust me
Answer:
A
Step-by-step explanation:
If a company buys coffee at a price of $5/kg and then sells it their stores for $18/kg, what is the percentage profit compared to the original cost of the coffee?
Answer:
260%
Step-by-step explanation:
For the coffee;
cost price ([tex]C_{P}[/tex]) = $5/kg
selling price ([tex]S_{P}[/tex]) = $18/kg
Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %
Substitute the right values into the above;
%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %
%P = [tex]\frac{13}{5} * 100%[/tex] %
%P = 260%
Therefore, the percentage profit compared to the original cost of the coffee is 260%