9514 1404 393
Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}
Convert the equation y= 2x2 + 2x - 4 into intercept form.
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2
Solve for x. Round to the nearest tenth.
15°
33
x
The length of x in the right triangle is 31.9 units.
How to solve the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Hence,
cos 15° = adjacent / hypotenuse
adjacent side = x
hypotenuse side = 33 units
cos 15° = x / 33
cross multiply
x = 33 cos 15°
x = 33 × 0.96592582628
x = 31.8755522675
Therefore,
x = 31.9 units
learn more on right triangle here:https://brainly.com/question/20046799
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what is log17 60 evaluated?
Answer:
1.77815125038
Step-by-step explanation:
help please please do it quickly thxs
PLEASE HELP ME KSDAKJDSAJDJKS
Answer: x = 16
Step-by-step explanation:
60x - 60 = 900
60x = 960
60x / 60 = 960 / 60
x = 16
What fraction of the catapults flung a marshmallow 30 inches or less?
Answer:
1/4
Step-by-step explanation:
Each whisker represents 1/4 of data
Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins are nickels, how many dimes does he have?
Answer:He has 63 dimes
Step-by-step explanation:
Hope this helps!
24% of 150=36
51+36=87
150-87=63
: What does the value of f(3) represent in the given context?
A.
After 4 bounces the height of the ball is 3 feet.
B.
After 4 bounces the height of the ball is 4 feet.
C.
After 3 bounces the height of the ball is 3 feet.
D.
After 3 bounces the height of the ball is 4 feet.
Answer: D
Step-by-step explanation: on The graph it shows the height of the ball after 3 bounces is 4 feet
please help me w this lol i dont get it
Answer:
i don't get u
Step-by-step explanation:
12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
Answer:
13
cuz one of those square part = to 90 degrease
so 77 degrease is already shown so minus 90-77
and u get 14
Answer:
x = 13°
Step-by-step explanation:
Angles 77° and BGE are vertical and thus equal angles. Angle x and BGE are complementary angles; thus, x + 77° = 90°. Solving this for x, we get:
x = 13°
Trang and Anh are dancing in the Dance-a-Thon to raise awareness and money for the Children’s Hospital. Trang donated $22 and earns $212 for every consecutive hour she dances. Anh donated $25 and earns $198 for every consecutive hour she dances. They both danced for the same amount of time and together raised $2,609.50. How much more money did Trang raise than Anh? Justify your answer.
Answer:
1304.75
Step-by-step explanation:
5th grade math. Correct answer will be marked brainliest:
Answer:
(6,6)
Step-by-step explanation:
Answer:
(6,6)
Step-by-step explanation:
hope this helps have a great day.
A square sandbox has sides that are 10 feet long. What is the sandbox's area?
Answer:
0.0929
Step-by-step explanation:
thats the answer
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle or arc measure of mRS
Answer:
96 degrees
Step-by-step explanation:
Since you know that arc are twice the angle measure, that means arc RT is 42 * 2 = 84. Then, you have to find the measure of RS.
Remember that arc RT and RS have to add up to 180 degrees because they form a semicircle (half of a circle).
To find the measure of RS, just do 180 - 84 = 96 degrees.
Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
A. y = 1/4x²
B. x = 1/4y²
C. y = -1/4x²
D. x= -1/4y²
Answer:
B. x = 1/4y²
Step-by-step explanation:
The equation of a parabola is x = 1/4y². Therefore, option B is the correct answer.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
From the graph,
x-intercept(s): (0,0)
y-intercept(s): (0,0)
Vertex is (0, 0)
Directrix, x=-1
Here, the axis of symmetry is y=0
So, the equation is x = 1/4y²
Therefore, option B is the correct answer.
To learn more about the parabola visit:
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Select all of the following values that can be classified as Whole Numbers.
0
-1/3
-15
31
0 and 31
a whole number, also known as a counting number, is a number that is neither a negative or a fraction
Nathan is baking cookies and the recipe calls for 3 2/3 cups of water. He needs to make 1 whole batch and only 1/2 of another batch, for a total of 1 1/2 batches.
How much water will Nathan need to bake the cookies? Draw a diagram to show how much water will be needed.
Answer:
Around 5.5 or 5 1/2
Step-by-step explanation:
Write the reciprocal of each mixed number.
1 1/6
Answer:
The reciprocal of mixed number is 6/11
Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.
Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.
REFER THE ATTACHMENT ABOVE ☝☝☝☝
Answer:
[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]
RESULT
Use ratio and proportion.
Let x be the time it takes Dionne to fold 210 packing boxes:
[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]
So, it will take Dionne 60 minutes to fold 210 packing boxes.
Let y be the time it takes Elias to fold 210 packing boxes:
[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]
So, it will take Elias 70 minutes to fold 210 packing boxes.
Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy
-7 2/3+(-5 1/2) +8 3/4=
Step-by-step explanation:
Please refer to the attachment
HELP PLS!!!
120=x-523?
Answer:
-62760
Step-by-step explanation:
A cell phone plan charges $19.90 a month, plus $0.05 per text message
Create & solve an inequality that represents the number of texts, t, that can be
sent while still keeping the monthly bill under $25?
Answer:
[tex]19.9+0.05t<25[/tex]
Less than 102 text messages.
Step-by-step explanation:
Monthly charge of cell phone = $19.90
Cost of one text message = $0.05
Let number of text messages be [tex]t[/tex]
The monthly bill should be less than $25. So,
[tex]19.9+0.05t<25[/tex]
The required inequality is [tex]19.9+0.05t<25[/tex]
[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]
So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.
10
Favorite Book Types
3%
Romance
Comedy
16%
Fantasy
14%
Science
Fiction
1896
Mystery
10%
Historical
Fiction
If 300 people were surveyed. How many people like comedy as their favorite book? *
(10 Points)
O 39
O 183
O 117
O 54
Answer:
117
Step-by-step explanation:
By adding the percentages given: 3+16+14+18+10
you get 61%
multiply 300 by .61 or 61%
you get 183
subtract 183 from 300
you are left with 117 which is the answer
In 1995 you purchased some land for $8000.
The value of the land depreciates by 4%
every year. Use an exponential decay
function to find the approximate value of the
land in 2002. Use y = a(1-r)
A. $5760
B. $5771
C. $6012
D. $6262
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You are removing 20 dollars a year.
Enter the area of the triangle in square meters.Round your answer to the nearest hundredth.
Answer:
6.24
Step-by-step explanation:
To find the area of the triangle, it is base times height divided by 2 after you multiply. Height is 90 degrees from base so remember that.
In this example, do (2.6 x 4.8)/2
Equals 6.24
math is so hard:
For which function is the ordered pair (4, 12) not a solution?
1. y = 3 x
2. y = 16 - x
3. y = x + 8
4. y = 8 - x
what’s the answer?
Answer:
4. y = 8 - x is the right answer
Answer:
4. y = 8 - x
Step-by-step explanation:
The question asks for which function is the ordered pair not a solution?
We need to substitute the ordered pair (4, 12) into x and y.
1. 12 = 3(4) (correct)
2. 12 = 16 - 4 (correct)
3. 12 = 4 + 8 (correct)
4. 12 = 8 - 4 (incorrect)
Therefore, the solution to your question is option 4.
PLssssss help me with this question!!
Answer: a. equivalent b. not equivalent
c. equivalent d. not equivalent
Step-by-step explanation: