Answer:
72/96
Step-by-step explanation:
Find the center and radius of x2+2x+y2+10y=15
Answer: (x + 7)^2 + (y + 5)^ =9
Step-by-step explanation:
Which expression is equivalent to 5(n + 7)?
Choose the best decimal to represent 5 3/7
2.3
5.428571
2.3
5.428571
Answer:
5.428571
Step-by-step explanation:
[tex]5\frac{3}{7}[/tex]
take the fraction and divide that:
[tex]\frac{3}{7} =0.428571[/tex]
then just add 5:
5 + 0.428571 = 5.428571
or...
convert the mixed fraction to improper fraction:
[tex]5\frac{3}{7} = \frac{38}{7}[/tex]
divide like normal:
[tex]\frac{38}{7} = 5.428571[/tex]
Given the functions f(n) = 500 and g(n) = (nine tenths)n − 1, combine them to create a geometric sequence, an, and solve for the 11th term.
Answer:
[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]
[tex]A(11) = 174.34[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 500[/tex]
[tex]g(n) = (\frac{9}{10})^{n-1[/tex]
Represent the combination of f(n) and g(n) with A(n)
So, we have:
[tex]A(n) = f(n) * g(n)[/tex]
This gives:
[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]
To calculate the 11th term, we make use of n = 11
[tex]A(11) = 500 * (\frac{9}{10})^{11-1[/tex]
[tex]A(11) = 500 * (\frac{9}{10})^{10[/tex]
This gives:
[tex]A(11) = 500 * (0.9)^{10}[/tex]
[tex]A(11) = 500 * 0.3486784401[/tex]
[tex]A(11) = 174.33922005[/tex]
Approximate to 2 dp
[tex]A(11) = 174.34[/tex]
Tell whether each pair of angle measurements are complementary, supplementary or neither. 36°,24° 18°,72° 96°,84°
Given:
The pairs of angles are:
36°,24°
18°,72°
96°,84°
To find:
Whether each pair of angle measurements are complementary, supplementary or neither.
Solution:
Two angles are complementary if there sum is 90 degrees.
Two angles are supplementary if there sum is 180 degrees.
For 36° and 24°,
[tex]36^\circ+24^\circ =60^\circ[/tex]
So, this pair is neither complementary not supplementary.
For 18° and 72°,
[tex]18^\circ+72^\circ =90^\circ[/tex]
So, this pair is complementary.
For 96° and 84°,
[tex]96^\circ+84^\circ =180^\circ[/tex]
So, this pair is supplementary.
Evaluate the expression 3.2t when t is 1
Answer:
3.2
Step-by-step explanation:
3.2t when t=1
replace t with 1 so 3.2(1)
hence =3.2
Sandy's monthly earnings consist of a fixed salary of $2,500 and a 10% commission on all her monthly sales. To cover her planned expenses, Sandy needs to earn an income of at least $6,000 this month. Write and solve an algebraic inequality to find the amount of sales Sandy needs to cover her planned expenses.
Answer:
$35,000
Step-by-step explanation:
Given data
Fixed salary= $2,500
Commission= 10%
Sandy wants to earn $6,000 this month
Let the total earning be y and the sales be x
Therefore the expression for Sandy's earning is given as
y=2500+0.1x---------------1
when y= $6,000
substitute in 1 and solve for x
6000=2500+0.1x
6000-2500=0.1x
3500=0.1x
x= 3500/0.1
x= $35,000
Hence the amount of sales will be $35,000
2y +3<11
What is the largest value of y could be?
Answer:
Step-by-step explanation:
2y + 3<11 Subtract 3 from both sides
2y < 11 - 3
2y < 8 Divide by 2
2y/2 <8/2
y < 4
The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.
For example 3.8 is a possible answer. Try it
2*3.8 + 3 < 11
7.6 + 3 < 11
10.6 < 11
But is that the largest value possible? No.
For example
y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.
I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.
Which values of x make 2 x + 3 < 17 a true statement?
please help with my geometry
Answer: 9.90
Step-by-step explanation:
tan 48= 11/x
1.11=11/x
1.11x=11
x=9.90
Need help ASAP plz. Right answer plz.
Simplify. Write the expression using only positive exponents.
5b^-2/b^-3
Answer:
5b?
cause ^-2 and b^-3 are going to be shortened..
I hope it's correct..
En una ciudad, el porcentaje de la población que
fuma y bebe, de la que solo fuma y de la que
solo bebe, es la mitad, tercera y cuarta parte del
porcentaje que no fuma ni bebe. Determinar qué
porcentaje de la población fuma o bebe.
Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.
Step-by-step explanation:
The percentage of the population smokes or drinks is 52%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We are given that;
The drink is half, third and quarter of the percentage
The sum of these percentages must be 100%, so we can write an equation:
x + (1/2)x + (1/3)x + (1/4)x = 100
To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:
12x + 6x + 4x + 3x = 1200
25x = 1200
x = 1200/25
x = 48
This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:
(1/2)x + (1/3)x + (1/4)x
= (1/2)(48) + (1/3)(48) + (1/4)(48)
= 24 + 16 + 12
= 52
Therefore, the percentage answer will be 52%.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
The complete question is;
In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.
Help me PLEASE I need HELP
Answer:
x=20
Step-by-step explanation:
180=2x+6x+20
180=8x+20
160=8x
20=x
From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angle of elevation to the top of the hill is 55
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
Riley can paint 1/5 a room in 1/10 of an hour. At what rate does she paint?
Answer:
Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..
Which could not be the length of the unknown side of the triangle?
A. 12
B. 14
C. 15
D. 18
Answer:
All of them
Step-by-step explanation:
All the listed answers are greater than the side marked 11. I don't know if this drawing is to scale, but even the answer 12 if you would make the triangle into two smaller right triangles from the vertex of angle ? and 6 to the side marked 11
Complete the table. Then identify the y intercept and the coordinate where x = 1. (Help please)
Write the expression in radical form: (16x^3)^1/4
Answer:
[tex]\sqrt[4]{16x^{3} }[/tex]
Step-by-step explanation:
Solve using the formula : [tex]a^{\frac{x}{n} } =\sqrt[n]{a^{x} }[/tex]
Find the measure of angle h
Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.
[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]
[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]
[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]
[tex]64 = 314 - 510 \times \cos(h) [/tex]
[tex] - 250 = - 510 \times \cos(h) [/tex]
[tex] \frac{250}{510} = \cos(h) [/tex]
[tex] \frac{25}{53} = \cos(h) [/tex]
Take the arcos or cosine inverse
[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]
Which is about 62 degrees.
Rewrite in simplest terms: −10(5t+5)−10(10t+6)
Answer:-150t-110
Step-by-step explanation:
-10(5t+5)-10(10t+6)
-50t - 50 - 100t - 60
=
-150t-110
Compare the graph of g(x)=x2−3 with the graph of f(x)=x2
Answer:
g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.
Answer:
x²-3 if x² vertical transformation shift DOWN 3 units
Step-by-step explanation:
vertical transformation shift DOWN 3 units
What is 23 fl oz = ______ c
Answer:
2.875c
Step-by-step explanation:
please help out!!!!!
Answer:
SSS
Step-by-step explanation:
It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle
Answer the question for 10 points
Answer:
(3x + 8) (3x - 8)
Step-by-step explanation:
Not sure if you need the steps
Which situations illustrate that the sum of opposite numbers is zero? Which situations illustrate that the sum of opposite numbers is zero?A) Shelley finds $50 in an old purse and deposits it in her bank account.B) Sara deposits $500 in her checking account and withdraws $500 from the ATM.C) After 3 forward flips and 3 backward flips, Anna is back where she started.D) Evan wins 1,000 points on a video game and wins another 1,000 points on the next game.E) At daybreak, the temperature is 18 degrees below zero. The temperature at noon is zero
Answer:
Step-by-step explanation:
b
Answer:
B) C) and E) (i just took this in USA TestPrep
Step-by-step explanation:
The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!
Answer:
4y+12x
Step-by-step explanation:
I dont have time to type sry
write the equation of a line that is parallel to 2x-5y=-20 and passes through the point (7,6)
Answer:
I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .
Algebraic expressions. c^2+d^2
Answer:
what are you asking?
Step-by-step explanation:
Please help me find the volume :3
9514 1404 393
Answer:
(d) 539 mm³
Step-by-step explanation:
The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.
volume of bottom part
V = LWH
V = (13 mm)(7 mm)(4 mm) = 364 mm³
volume of the top part
V = (5 mm)(7 mm)(5 mm) = 175 mm³
Then the total volume is ...
364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure