Answer:
x∈[20/3;+∝).
Step-by-step explanation:
3x+10≥30; ⇔ 3x≥20; ⇔ x≥20/3
Samir and Ayisha are on one side of a river. Katia is on the other side. The distance between Samir and
Katia is 82 ft. The distance between Ayisha and Katia is 80 ft. If the angle from Samir to Katia to Ayisha is 18°, how far apart are Samir and Ayisha?
The distance between Samir and Ayisha is 2 ft.
Samir and Ayisha are on one side of a river. Since they are on the same side, they may likely be close to each other.
Katia is on the other side of the river. It is likely Katia is far from Samir and Ayisha.
The distance between Samir and Katia is 82 ft. Therefore, the distance between Ayisha and Katia is 80 ft.
How to find distance between between Samir and AyishaThe distance between Samir and Ayisha = 82 ft - 80 ft
The distance between Samir and Ayisha = 2 ft
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I really need help on understanding how the exponents relate to each other ?
because after the exponents it devides
IM STUCK IN THIS ONES AND THEY KEEP DELETING THE ANSWERS
Answer:
c
Step-by-step explanation:
40 cubic units
divide the shape into 2 pieces first.
4 × 4 ×2 = 32
4×2 = 8
32 + 8 = 40
the idea being that, each cube in the stack, is a 1x1x1 = 1 unit³, now if that's so, then, Check the picture below.
calculate the value of s and t
Answer:
s = 4, t = 1.2.
Step-by-step explanation:
y = k/x (Inverse variation, k is some constant)
Substituting:
2 = k/3
k = 2*3 = 6
So the relation is y = 6/x.
So 1.5 = 6/s
s = 6/1.5 = 4.
t = 6/5 = 1.2.
What is the answer to how many 1/2 are in 3 1/2?
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h. What is the height of the pole? Round to the nearest hundredth. 12. 00 feet 19. 60 feet 24. 17 feet 38. 40 feet.
The height of the pole from the ground is 19.60 feet round to the nearest hundredth.
How to find the length of longest side in right angle triangle?To find the lenght of longest side in right angle triangle, the Pythagoras theorem is used.
According to this theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h. Thus, the length of side of h by the Pythagoras theorem can be given as,
[tex]h^2=22^2-10^2\\h=\sqrt{484-100}\\h=\sqrt{384}\\h=19.60\rm\; ft[/tex]
Thus, the height of the pole from the ground is 19.60 feet round to the nearest hundredth.
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Jackson recorded the following data: 2,5, X, 2, 4, 3. If the mean
of the data is 3, what is the value of x? Explain how you found your answer
Answer:
x = 2
Step-by-step explanation:
mean = sum of data / number of data
3 = 2 + 5 + x + 2 + 4 + 3 / 6
3 = 16 + x / 6
18 = 16 + x
2 = x
The missing value of data is 2.
What is arithmetic Mean?The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
We have,
Data: 2,5, X, 2, 4, 3
Mean= 3
So, Mean
3 = Sum of data/ Total number of data
3 = (2 + 5 +x + 2 + 4 +3)/ 6
18 = 16 + x
x = 18 - 16
x= 2
So, the missing value of data is 2.
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#SPJ2
Simplify the equation
X^2 +x
x^2 + x
---Both of these terms both contain an x, which means we can factor out one x.
x(x + 1)
Simplified: x(x + 1)
Hope this helps!
Gavin purchased a stereo speaker in the shape of a triangular pyramid. It has a height of 6 inches. The volume of the speaker is 22 in3.
What is the area of the base of the speaker?
A. 5 in
B. 11 in
C. 66 in
D. 44 in
Answer: 11 in
Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.
Choose the amount of money that is equal to 1 dollar 1 nickel.
25 nickels
21 nickels
22 nickels
23 nickels
HELLPPPP!!
So that is how it goes hope this helps
Answer: I think the answer is 25 nickels? Im sorry if I get it wrong
Step-by-step explanation:
Debbie has 65 tubs of yogurt and 16 boxes of granola. All four kids continue to eat the same amount of food each morning. Which kind of food will get used up first?_________
show your calculations and explain how you figured it out.
The kind of food that will finish and get used up first is the boxes of granola.
What is word problem?Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.
From the parameters given:
Debbie has = 65 tubs of yogurtThe boxes of granola = 16The number of kids that consume the same quantity of both food types = 4The time at which the 65 tubs of yogurt will finish:
= 65/4
= 16th rounds with a remainder of 1 tub
The time at which 16 boxes of granola will finish:
= 16/4
= 4th round
A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.
Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.
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use the intersect method to solve the equation
-2x+1=-x^2+4
The intersect method involves spliting an equation to a system of equations
The solutions to the equation are (-1, 3) and (3,-5)
How to solve the equation?The equation is given as:
-2x + 1 = -x^2 + 4
Using the intersect method, we have the following equations
y = -2x + 1
y = -x^2 + 4
Next, we plot the graph of both equations
From the graph (see attachment), we have the following points of intersection
(x,y) = (-1, 3) and (3,-5)
Hence, the solutions to the equation are (-1, 3) and (3,-5)
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Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9
Answer:
6 8/9 , 69/10 , 6.99 , 7.927
Step-by-step explanation:
[tex]\frac{69}{10} = 6.9[/tex]
[tex]6\frac{8}{9} = 6.8[/tex]
I NEED THAT ANSWER ASAP
Answer:
2064.19 km^3
Step-by-step explanation:
Formula for volume of a sphere
V = 4/3 pi r^3
= 4/3 * 3.14 * 7.9^3 =
Answer:
[tex]2064\ km^3[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3}\pi r^3[/tex]
r (radius) = 7.9 km[tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3[/tex]
Therefore, the volume of the sphere is [tex]2064\ km^3[/tex]
Hope this helps!
3.
Which system of equations has infinite solutions? Select all that apply.
A. y = 4x + 4
y=x - 4
B. y = -2x + 4
y=x+4
-6
C. y=4
x=-2
D. y = 5x + 3
3y = 15x +9
Answer:
B and D
Step-by-step explanation:
in D 15x+9=15x+9
in B x=0
Ann sells beaded necklaces. Each large necklace sells for $5.40 and each small necklace sells for $4.30. How much will she earn from selling 3 large necklaces and 1 small necklace?
Answer
20.5
Step-by-step explanation:
You multiply 5.4 and 3 to get 16.2. Then you add 16.2 and 4.3 to get 20.5.
Graph the inequality of x>15
Answer:
Hope this helps!
FIRST TO ANSWRR GETS 30 POINTS!
A jewellery shop is having a sale.
A bracelet is now reduced to £420.
This is 70% of the original price.
a) Work out the original price of the bracelet.
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
a) £600
b) £1400
Step-by-step explanation:
a) Set up a ratio of price to percentage of original price.
Let x = original price
⇒ £420 : 70 = £x : 100%
[tex]\sf \implies 420 : 70 = x : 100[/tex]
[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]
[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]
[tex]\sf \implies x=600[/tex]
Therefore, the original price of the bracelet was £600
b) Set up a ratio of price to percentage of original price.
If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%
Let x = original price
⇒ £840 : 60% = £x : 100%
[tex]\sf \implies 840 : 60 = x : 100[/tex]
[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]
[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]
[tex]\sf \implies x=1400[/tex]
Therefore, the original price of the ring was £1400
Which is the pattern for factoring the sum of cubes
Answer:
a³ +b³ = (a +b)(a² -ab +b²)
Step-by-step explanation:
The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.
a³ -b³ = (a -b)(a² +ab +b²)
a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes
Tiffany ate ¼ of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?
Answer:
she ate 4 slices
Step-by-step explanation:
Answer:
1/4 × 16
=4
therefore she ate 4 slices
The bases of a trapezoid are 11 meters and 14 meters. It’s height is 10 meters. What is the area of the trapezoid?
Answer:
120 m²
Step-by-step explanation:
A = (1/2) · (p + q) · h
A = (1/2)(14 + 10)(10)
A = (1/2)(24)(10)
A = 120
Hope this helps :)
Pls help with this problem
Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
(За + 2b) (2а — b) HELP ME PLEASE
Answer:
6a^2 + ab - 2b^2
Step-by-step explanation:
[insert something smart]
Videos Incorporated charges a membership fee of $4.99 plus $0.99 for each movie you watch. Videos Plus does not charge a membership fee but charges $2.99 per movie. Videos Plus is a better deal than Videos Incorporated. Which inequality represents this situation?
What is the inequality symbol for the situation? Answer Chocies: >, <, =.
Videos Incorporated Expression: Answer choices: 4.99x + 0.99, 4.99 + 0.99x, 4.99 - 0.99x
Videos Plus Expression: Answer Choices: 2.99x, 2.99x + 1, 2.99x - 1.
Which inequality represents this situation?
Videos Incorporated Expression:
-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.
4.99 + 0.99x
Videos Plus Expression:
-> There is no membership fee, but adding to the cost is $2.99 per movie.
2.99x
Which inequality represents this situation?
-> You do not have answer options, so this is a guess.
-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus
2.99x < 4.99 + 0.99x
Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property.
Max made a journey of 700km partly by train and partly by bus.He started his journey at 8.00am. by train which travelled at 50km/hr. After alighting from the train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75km/hr.The whole journey took 11.75hours. Determine the distance travelled by bus.
I really don't know I'm not big on school subjects
If the vertex of a parabola is (2,9), what is the axis of symmetry?
Answer:
x=2
Step-by-step explanation:
The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.
To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hourly rates for detasselers in Iowa are roughly normally distributed, with a mean of $12/hr and a standard deviation of $2/hr. What are the z-scores for a detasseler making $13 and $17 an hour? z13 = 0. 9, z17 = 1. 25 z13 = 0. 5, z17 = 1. 25 z13 = 0. 5, z17 = 2. 5.
The z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]
What is z- value ?The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.
To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.
[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Where x is the value of the data, μ is the mean and σ is the standard deviation
In this case :
μ = 12 $/h
[tex]\sigma[/tex] = 2 $/h
We need to calculate the Z-scores for x=17 and x=13
[tex]Z_{13}=\dfrac{13-12}{2}=0.5[/tex]
[tex]Z_{17}=\dfrac{17-12}{2}=2.5[/tex]
Thus the z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]
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Please mark me brainliest<3
Help plsss 60 points
Step-by-step explanation:
please mark me as brainlest
Answer:
a) 5, -3, -4, 0
b) Curve B
Step-by-step explanation:
Given equation:
[tex]y=x^2-4x[/tex]
Inputting the values of x into the equation to find the missing values of y:
[tex]x=-1 \implies y=(-1)^2-4(-1)=5[/tex]
[tex]x=1 \implies y=(1)^2-4(1)=-3[/tex]
[tex]x=2 \implies y=(2)^2-4(2)=-4[/tex]
[tex]x=4 \implies y=(4)^2-4(4)=0[/tex]
[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -1 & 0 & 1 & 2 & 3 & 4 & 5\\\cline{1-8} y & 5 & 0 & -3 & -4 & -3 & 0& 5\\\cline{1-8}\end{array}[/tex]
According to the table:
y-intercept of the curve = (0, 0)x-intercept of the curve = (4, 0)Therefore, Curve B matches the graph of [tex]y=x^2-4x[/tex]
A 2,000 piece puzzle is in the shape of a trapezoid. The lengths of the bases are 7012 and 6512 inches long. The area of the puzzle is 1,224 square inches. What is the height of the puzzle?
in.
Answer:
0.18
Step-by-step explanation:
Maths big brain