Answer:
x= -12
Step-by-step explanation:
-13+x=-25
+13 +13
x= -12
Answer:
x = -12
Step-by-step explanation:
-13+x=-25
Add 13 to each side
-13+13+x=-25+13
x = -12
Put the following numbers in order from least to greatest:
4/7 12/26 1/2 18/35
Answer:
12/26, 1/2, 18/25, 4/7
Step-by-step explanation:
The function f(x) = 3x^3 - 2x is odd because
A.f(3) = f(-3)
B.f(3) = -f(3)
C.f(-3) = -f(3)
D.-f(3) = f(3)^2
E. None of these
Answer:
C
By substuting x=- 3 the answer will be negative
A cube has width of 7 cm What is the volume of the cube
Answer:
V =343 cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 7^3
V =343 cm^3
There are 5 designs of necklaces available at a jewelry store. Each design is available in 3 types of stones. How many different combinations of 1 design and 1 stone of necklace can you have?
Answer:
3 stone necklaces
Step-by-step explanation:
so theres 5 designs and 3 stones you can only have 1 stone with one if your looking to put one on each necklace there will be three with one stone and two without
Alice and Briana each participate in a 5 kilometer race. Alice's distance covered, in kilometers, after t minutes can be modeled by the equation a(t) =
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They finish when their covered distance is equal to 5 kilometers. For Alice:
t/4 = 5
t = 5*4 = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 5²
2t = 25 + 1
t = 26/2
t = 13 minutes
c. They are side by side when they have covered the same distance, that is:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16*(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using quadratic formula:
[tex]t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]t = \frac{32 \pm \sqrt{-32^2 - 4(1)(16)}}{2(1)} [/tex]
[tex]t = \frac{32 \pm 30.98}{2} [/tex]
[tex]t_1 = \frac{32 + 30.98}{2} [/tex]
[tex]t_1 = 31.49 [/tex]
[tex]t_2 = \frac{32 - 30.98}{2} [/tex]
[tex]t_2 = 0.51 [/tex]
Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.
Answer:
a) Alice starts first, b) Briana gets the finish line first, c) [tex]t \approx 0.509\,min[/tex]
Step-by-step explanation:
a) Alice starts first, since binomial inside the squared root is equal to zero when [tex]t = \frac{1}{2}\,min[/tex], whereas Alice begins at [tex]t = 0\,min[/tex].
b) The instant when each competitor reach finish line is:
Alice
[tex]5\,km = \frac{t}{4}[/tex]
[tex]t = 20\,min[/tex]
Briana
[tex]5\,km = \sqrt{2\cdot t - 1}[/tex]
[tex]25\,km^{2} = 2\cdot t - 1[/tex]
[tex]t = 13\,min[/tex]
Briana gets the finish line first.
c) Alice and Briana are side by side when [tex]a(t) = b(t)[/tex]. Then:
[tex]\frac{t}{4} = \sqrt{2\cdot t - 1}[/tex]
[tex]\frac{t^{2}}{16} = 2\cdot t - 1[/tex]
[tex]t^{2} - 32\cdot t + 16 = 0[/tex]
The roots of the second order polynomial are:
[tex]t_{1} \approx 31.492\,min[/tex] and [tex]t_{2} \approx 0.509\,min[/tex]
Just the second roots makes sense, as they must be side by side at one instant before getting the finish line.
Nita is using ribbon for gift boxes. She has 49 feet of ribbon. She needs to wrap 16 boxes of identical size. How much ribbon can she use on each box?
3 feet
3 1/16 feet
3 1/8 feet
3 7/16 feet
NEXT QUESTION
Answer:
The answer would be B or 3 1/16.
Step-by-step explanation:
identify the function shown in the graph
Answer:
C
Step-by-step explanation:
The line crosses the y-axis at 3, and has a slope of -1/5. You can use the formula y=mx+b where m represents the slope and b is the point at which the line crosses the y-axis.
Make a table of 4 additional speeds equivalent to 50 miles per hour.
Answer:
80.4672kmh
22.352m/s
43.4488 knots
73.3333 fps
Step-by-step explanation:
Consider this function.
F(x) = x - 4 + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and
its inverse related?
Since the domain of the original function is limited to x 6, the range of the inverse function is y s6.
Since the domain of the original function is limited to x> 4. the range of the inverse function is ys 1.
Since the range of the original function is limited to y > 6, the domain of the inverse function is x 26
Since the range of the original function is limited to y 4, the domain of the inverse function is x 1.
Answer:
Since the range of the original function is limited to y 6, the domain of the inverse function is x ≥ 6.
Step-by-step explanation:
The answer is the statement Since the range of the original function is limited to y > 6, the domain of the inverse function is x ≥ 6.
What is the domain of an inverse function?The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
What is a positive slope?The positive slope definition tells us that a line with a positive slope is one where the right side of the line is higher than the left side of the line.
So, by the definition given above, we see that
if the range of the original function is limited to y > 6, the domain of the inverse function is x >= 6.
Learn more about the domain of inverse functions on:
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The first quartile in a box-and-whisker plot would be located on what number?
Answer:
24.5
Step-by-step explanation:
When you round it you get 25. (sorry if im wrong) :(
Alice buys a book for £19.80
A year later she sells the book for £12.87
Calculate the percentage decrease in the value of the book.
Answer:35%
Step-by-step explanation:
The percentage decrease in the value of the book is 35%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the book = £19.80
Selling price of the book = £12.87
The percentage decrease in the value of the book.
= (19.80 - 12.87)/19.80 x 100
= 6.93/19.80 x 100
= 35%
Thus,
The percentage decrease is 35%.
Learn more about percentages here:
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Ryan is putting a clothesline in his rectangular backyard. He wants to put it between two trees on the edge of his
property. He has measured his property, and made the sketch shown below, where all the lengths listed are in
meters.
10
Tree
What is the smallest length of rope that Ryan could buy which would stretch from one tree to the other?
Answer: 25 meters.
Step-by-step explanation:
The missing figure is attached.
Draw a Right triangle as the one shown in the second picture, where "a" is the smallest length of rope (in meters) that Ryan could buy, which would stretch from one tree to the other tree.
You need to use the Pythagoream Theorem:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" are "c" are the legs of the Right triangle.
In this case you can identify that:
[tex]b=25-10=15\\\\c=20[/tex]
Knowing those values, you can susbtitute into [tex]a^2=b^2+c^2[/tex] and then solve for "a" in order to find its value.
You get:
[tex]a^2=15^2+20^2\\\\a=\sqrt{15^2+20^2}\\\\a=25[/tex]
Which of the following is a complex number?
0 -7
O 2+√3
O 4 + 91
please help me with this
the answer is 1/8
Look at the attached picture⤴⤴
Hope this will help u.....✔
The sum of two numbers is 14. The first number is 2/5 of the second number. What are the numbers?
Answer:
4 and 10
Step-by-step explanation:
To solve this problem, we need to find all the numbers between 1 and 13 that have a sum of 14. The list is shown below:
1 + 13, 2 + 12, 3 + 11, 4 + 10, 5 + 9, 6 + 8, 7 + 7
Now we must figure out which set of numbers include one number that is 2/5 of the value of the other. We can do that by turning the sets of numbers into fractions as shown below:
[tex]\frac{1}{13}\neq \frac{2}{5}[/tex]
[tex]\frac{2}{12}\neq \frac{2}{5}[/tex]
[tex]\frac{3}{11}\neq \frac{2}{5}[/tex]
[tex]\frac{4}{10}= \frac{2}{5}[/tex] (answer)
[tex]\frac{5}{9}\neq \frac{2}{5}[/tex]
[tex]\frac{6}{8}\neq \frac{2}{5}[/tex]
[tex]\frac{7}{7}\neq \frac{2}{5}[/tex]
The first number is 4, and the second number is 10, and their sum is indeed 14, as given in the problem.
Let's call the first number "x" and the second number "y." According to the information given:
The sum of the two numbers is 14, so we can write the equation:
x + y = 14
The first number (x) is 2/5 of the second number (y), which can be expressed as:
x = (2/5)y
Now, we can solve this system of equations using substitution. First, we'll substitute the expression for x from the second equation into the first equation:
(2/5)y + y = 14
To make the equation easier to solve, we can get rid of the fraction by multiplying both sides of the equation by 5 (the denominator of 2/5):
5(2/5)y + 5y = 5 * 14
This simplifies to:
2y + 5y = 70
Now, combine like terms:
7y = 70
To solve for y, divide both sides by 7:
y = 70 / 7
y = 10
Now that we've found the value of y, we can find the value of x using the second equation:
x = (2/5)y
x = (2/5) * 10
x = 4
So, the two numbers are:
x = 4
y = 10
for such more question on first number
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Goodmorning, Anyone know the answer to this?
Answer:
1. 5
2. 66/25
3. -7.2
4. 25/24
Given P(A) = 0.6, P(B) = 0.45 and P(AorB) = 0.66 , find the value of P(A and B) , rounding to the nearest thousandth, if necessary .
Answer:
P(A and B) = P(A) + P(B) - P(A or B)
= 0.6 + 0.45 - 0.66
= 0.39
The value of P(A AND B), given the probabilities of P(A), P(B), and P(A OR B), is found to be 0.39.
To find the probability of both events A and B occurring, we use the formula for the probability of the union of two events, which is P(A OR B) = P(A) + P(B) \'96 P(A AND B). We rearrange this formula to find P(A AND B) by subtracting P(A) and P(B) from P(A OR B):
P(A AND B) = P(A) + P(B) \'96 P(A OR B)
Substituting the given values:
P(A AND B) = 0.6 + 0.45 \'96 0.66 = 0.39
So, the probability of A and B occurring together, P(A AND B), is 0.39, which rounds to the nearest thousandth as required.
Solve for u in terms of r, s, and t.
t= –rsu
u=
Answer:
u = - [tex]\frac{t}{rs}[/tex]
Step-by-step explanation:
Given
t = - rsu ( multiply both sides by - 1 )
- t = rsu ( divide both sides by rs )
- [tex]\frac{t}{rs}[/tex] = u
To find u in terms of r, s, and t given the equation t = -rsu, divide both sides by -rs to get u = -t / (rs).
To solve for u in terms of r, s, and t using the given equation t = -rsu, we need to isolate u. We do this by dividing both sides of the equation by -rs, which gives us u = -t / (rs). This shows that u is inversely proportional to the product of r and s, and directly proportional to -t.
Jack tossed a coin 3 times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?
Since tree diagram is not given in the question, I am attaching a tree diagram for the coin tossed 3 times.
Step-by-step explanation:
The coin is tossed 3 times. We need to find the tree diagram that shows all the possible outcomes of the coin landing heads up or tails up
Since tree diagram is not given in the question, I am attaching a tree diagram for the coin tossed 3 times.
Answer:
the first one is 8 then the seconed one is 3
Step-by-step explanation:
i just took the quiz
Francine is selling ice cream from her shack on the ocean. She opens the shack
with 500 servings of ice cream. During the day she sells enough ice cream to
decrease her total ice cream by 65%. How many servings of ice cream does
Francine have left? *
Answer: The answer for that would be 325
Step-by-step explanation:
Answer:
175 servings
Step-by-step explanation:
So you wanna find the remaining 35%.
35*500=17500
17500/100= 175
i need help on page 382 please on a and b
Answer:
5a) The number of red blocks increases by one every time while the blue one stays the same.
5b) The number of blue blocks increases by one every time while the red one stays the same.
Step-by-step explanation:
I don't really know how to explain this. The best way for you to understand this concept is to google algebraic expressions for pattern rules.
Quien me ayuda a hacer esta operación :(, es súper urgente
Answer:
y≥ 5+5/3x
Step-by-step explanation:
5x-3y≤-15
-5x . -5x
-3y≤-15 -5x
/-3 . /-3 .(flip inequality when dividing or multiplying by a negative number)
y≥ 5+5/3x
A) 30°
B) 36°
C) 42°
D) 55°
**Include explanation**
To be marked brainliest!
Answer:
B, 36 degrees
Step-by-step explanation:
Because AB and CB are congruent, so are arcs AB and CB. Therefore, 3x+12=6x-12
24=3x
x=8
3x+12=3(8)+12=24+12=36 degrees, or answer choice B. Hope this helps!
Write the equation of the circle centered at (2,−1) that passes through (−3,3)
Answer:
y=6/-5x+1.4
Step-by-step explanation:
3--3 over -3-2 would equal 6 over -5
can someone plsss helppp meee
Answer:
i think its 2.7 or 1.7 iriririeieire
4*3s+7*2s simplified
Answer:
26s
Step-by-step explanation:
4 x 3 s + 7 x 2 s
12s + 14s = 26s
Answer:
26 s
Step-by-step explanation:
[tex]4 \ast3s + 7 \ast2s \\ = 12s + 14s \\ = 26s[/tex]
Consider the power 34.
Which are correct descriptions of this power? Check all that apply.
The power is the product of 3 and 4.
The power is described as 3 to the fourth power.
The power means 3 factors of 4 are being multiplied.
The power can be expanded as 3 · 3 · 3 · 3.
The value of this power is 81.
Answer:
ok if its 3^4 then the answers are
the second one
the forth
and the fifth
Step-by-step explanation:
3^4 is (3)(3)(3)(3) so that equals 81 and the terminology is 3 to the power of 4
I NEED HELP PLS
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi, and make certain to show your work. Hint: you may need to find the volume of the component shapes.
I WILL GIVE BRAINLIEST AND 95 POINTS I NEED HELP FAST. I NEED HELP PLS
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi, and make certain to show your work. Hint: you may need to find the volume of the component shapes.
I WILL GIVE BRAINLIEST AND 95 POINTS I NEED HELP FAST.
Answer:
114.5 in³
Step-by-step explanation:
Volume of cone:
⅓ × 3.14 × 8² × 12
= 803.84 cm³
Volume of hemisphere:
⅔ × 3.14 × 8³
= 1071.786667 cm³
Total = 803.84 + 1071.786667
= 1875.626667 cm³
1 cm = 0.393701 inches
1 cm³ = 0.393701³ inches
Volume in in³:
1875.786667/0.393701³
= 114.4579471 in³
what’s the slope of this line?
Answer:
3
Step-by-step explanation:
You find rise/run.
The rise is (5-(-7)), which is 12
The run is (1-(-3)), which is 4
12/4 = 3
Answer:
3 hope this helps! pic below :)
Step-by-step explanation:
y = 3x + 2
Two cards are drawn from a standard deck of 52 cards. A king is drawn first and not replaced. Find the probability of drawing a second card that is not a king.
P(not a king|king) =
Answer:
48/51
Step-by-step explanation:
The probability of not choosing a king after you've chosen the first king is 48/51 since there are 48 cards in the deck that are not kings and there are 51 cards left in the deck, including king cards.
Answer: Their are 4 kings in a deck of cards, so the answer would be P( Cards that aren't Kings/Total cards) so the probability is .92 or 92%.