Answers
Related Questions
for what value of x is the rational expression below equal to zero?
3x+15
———
6-x
Answers
[tex]~~~~~~\dfrac{3x+15}{6-x} = 0\\\\\implies 3x +15 = 0\\\\\implies 3x = 0-15\\\\\implies 3x = -15\\\\\implies x = -\dfrac{15}3\\\\\implies x = -5[/tex]
Answer:
the answer= -5
Help help help help help me
Answers
Answer:
Step-by-step explanation:
Combine the radicals 4√7+3√28.
Answers
Answer:
10√7
Step-by-step explanation:
[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]
Answer:
10√7
Step-by-step explanation:
To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).
4√7 + 3√28 <---- Original expression
4√7 + 3(√4 x √7) <---- Expand √28
4√7 + (3 x 2)√7 <----- Take √4
4√7 + 6√7 <---- Multiply coefficients
10√7 <---- Add both terms
Patrick buys a wrench with a listed price of $22. Which of these coupons will deduct the most from Patrick's purchase price?
A. Save $5 + 10%
B. Save $10
C. 15% off
D. Save 25%
Answers
Answer:
B: Save $10
Step-by-step explanation:
A: $14.80, B: $12, C:$18.70, D: $16.50
In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the government worth $539,517. What was the combined total of their contracts?
Answers
The combined total of their contracts is $1,296,250
How to determine the combined total?The values of the contracts are given as:
Exxon Mobil= $756,733Aerospace = $539,517The combined total is represented as:
Total = Exxon Mobil + Aerospace
Substitute known values
Total = $756,733 + $539,517
Evaluate the sum
Total = $1,296,250
Hence, the combined total of their contracts is $1,296,250
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n of the following are factors of x² - 7x - 30 ?
a
(x-3) (x - 10)
B
(x-3) (x + 10)
C
(x - 15) (x + 2)
D
(x - 10) (x + 3)
Answers
Answer:
D
Step-by-step explanation:
please help me out :(
Answers
Answer:
The correct answer is B.
Step-by-step explanation:
Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.
A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the parabola
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The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
What is a Parabola ?A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
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Find f(-2) for f(x) = 3.2.
O A. 2/1
OB.
36
O C. -36
OD. -12
3/4
Answers
Answer:
3/4 (A)
Step-by-step explanation:
replace x with -2 in the function
3 · 2^-2 = 3 · 0.25
3 · 0.25 = 0.75
0.75 = 3/4
f(-2)=3.2^-2
2^-2=1/2^2=1/4
3x1/4 =3/4
Consider triangle ABC. What is b?
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Explanation:
what’s a positive divided by a negative
Answers
Answer:
positive cuz positive is greater than negative
Pippa has a box containing n pens.
there are only black pens and red pens in the box.
the number of black pens in the box is 3 more than the number of red pens.
pippa is going to take at random 2 pens from the box.
the probability that she will take a black pen followed by a red pen is
9
35
find the possible values of n.
show clear algebraic working.
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The possible values of N from the given probability parameters is; N equals 15 or 21
How to Solve Algebra Problems?We are told that;
Number of pens in the box = N
Let the number of red pens be x
Thus; number of black pens = x + 3
Thus;
x + x + 3 = N
x = (N - 3)/2
The probability that she will take a black pen followed by a red pen is;
P(she will take a black pen followed by a red pen) = (x + 3)/N * x/(N - 1)
Plugging in he relevant values and solving for N gives ;
Solving for N gives N equals 15 or 21
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Can I get help with this pls
Answers
Answer:
2 [tex]\leq[/tex] x [tex]\leq[/tex] 7
Step-by-step explanation:
See attachment.
the monthly salary of a married couple is rs 405000plua a festival expenses of 30000calculate the income tax paid by the couple in a year
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The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.
What is an income tax?An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.
In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100
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which unit of measure would be appropriate for the area of a bulletin board that is 2 meters tall and 6 meters wide
Answers
Answer:The entire area would be 12 square meters.
Step-by-step explanation:
2 x 6 square meters = 12 square meters. which is the entire area.
Name all of the obtuse angles that share a side with angle VON
A. Angles NOS, NOP, NOQ, VOS, VOQ, VOP
B. Angles NOS, NOT, NOV, VOR, VOU, VOP
C. Angles NOS, NOT, NOR, VOR, VOQ, VOP
D. Angles NOS, NOT, NOU, VOR, VOQ, VOP
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The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles
What is an Obtuse Angle ?An angle whose measure is more than 90 degree is called an obtuse angle.
In the given figure , the angles which have value more than 90 degree needs to be found.
The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles as their measure is more than 90 degree.
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A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling the number 2.
If there is more than one element in the set, separate them with commas.
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The sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
What is sample space?It is defined as the space in which all possible outcomes are represented in a list form for a particular event.
We have:
A number cube with faces labeled from 1 to 6 will be rolled once.
Let S is the sample space:
As we know, the sample space is the set of all possible outcomes:
S = {1, 2, 3, 4, 5, 6}
The total number of outcomes:
n(S) = 6
The outcomes for the event of rolling the number 2.
E = {2}
n(E) = 1
Thus, the sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
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In circle O, ST is a diameter.
Circle O is shown. Line segment S T is a diameter. Line segments R O and U O are radii. Angles R O U and U O T are congruent. The measure of arc R S is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.
What must be the value of x?
22.0
25.0
25.4
37.2
Answers
The value of x must be 25.0. The correct option is the second option- 25.0
Solving Linear equationsFrom the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
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Answer:
25.0
Step-by-step explanation:
just took it
\
The spin and dine restaurants ice cream for dessert Chloe actually won a bet and gets to spin two spinners disliked one random flavor of ice cream and one random topping. A, how many different possible combinations can she spin. B what is the probability of spinning Chloe's preference vanilla ice cream with chocolate a rainbow sprinkles,
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The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12
The missing part of the questionFlavor of ice cream: Vanilla, Strawberry, Chocolate
Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries
The number of different combinationsUsing the dataset above, we have:
Ice cream = 3
Topping = 4
The number of different combinations is calculated as:
Combination = ice cream * Topping
Evaluate
Combination = 3 * 4
Combination = 12
Hence, the number of different combinations is 12
The probability of spinning vanilla ice cream with chocolate a rainbow sprinklesThe vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.
So, the probability is:
P = 1/12
Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12
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An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once. Match the outcome to its probability.
1. P(2 or 4)
2. A(multiple of 2)
3. P(multiple of 3)
4. P(odd prime numbers)
2/3
0
1
1/3
Answers
Answer:
1. P(2 or 4) - 2/3
2. P(multiple of 2) - 1
3. P(multiple of 3) 1/3
4. P(odd prime numbers) 0
Step-by-step explanation:
Good luck lol
P(2 or 4) = 2/3
P( multiple of 2) = 1
P( multiple of 3) = 1/3
P(odd prime numbers) = 0
What is probability?Probability is the likelihood of an event happening or not.
Analysis:
possible outcome = (2,2,4,4,6,6) = 6
P(2 or 4)
n( 2) = required outcome = (2,2) = 2
P(2) = 2/6 = 1/3
n(4) = (4,4) = 2
P(4) = 2/6 = 1/3
P(2 or 4) = 1/3 + 1/3 = 2/3
n( multiple of 2) = (2,2,4,4,6,6) = 6
P( multiple of 2) = 6/6 = 1
n(multiple of 3) = (6,6) = 2
P(multiple of 3) = 2/6 = 1/3
P(odd prime numbers) = 0
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The mean of a set of 10 number is 56,
If the mean of the first nine is 55 find the 10th number
Answers
Answer:
65
Step-by-step explanation:
10*56=5609*55=495560-495=65=65Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z
Answers
Answer: Growth rate of 5.9%
Step-by-step explanation:
Since 1.059>1, it represents growth.
[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]
It's the last second of a playoff basketball game and Bridget has three free throws she must make to seal the win she typically makes about 75% of her free throws what is the probability that Bridget makes all three free throws to win the game
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The probability that Bridget makes all three free throws to win the game is; 42.2%
How to find the probability?
We are told that the probability of Bridget making her free throw correctly is 75%.
Now, if she has to get all three free throws correctly, then the probability for that is;
P(3 free throws correct) = 0.75 * 0.75 * 0.75
P(3 free throws correct) = 0.421875 ≈ 42.2%
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solution for -2 1/3 divided by 4 2/3
Answers
Answer:
-0.5
Step-by-step explanation:
K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find the value of z.
Answers
Using the circle theorems, the value of z is 45
Circle GeometryFrom the question, we are to determine the value of z
From the given information,
KM is a diameter
∴ ∠KLM = 90° (Angle in a semicircle)
Also, ΔKLM is isosceles
∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)
Then,
∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)
2× ∠KML + 90° = 180°
2× ∠KML = 180° - 90°
2× ∠KML = 90°
∠KML = 90°/2
∠KML = 45°
Now, we can observe that
z° = ∠KML (Angles in alternate segment)
But,
∠KML = 45°
∴ z = 45
Hence, the value of z is 45
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Peter has 5 times as much Money as Bala.
They have $1674 in total.
How much more money has Peter than bala
Answers
Answer:
Bala = 279$
Peter = 1395$
Step-by-step explanation:
Peter has 5 times as much Money as Bala.
They have $1674 in total.
How much more money has Peter than bala
Bala has 1 unity
Peter has 5 unity
total unity = 6
Find 1 unity
1674 : 6 = 279
Bala = 279
Peter = 5 * 279 = 1395
20 ft
The ceiling of Stacy's living room is a square that is 20 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 20 ft.
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Answers
The value of the diagonal will be equal to 20√2.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
The value of the diagonal by the Pythagorean theorem.
H² = B² + P²
H² = 20² + 20²
H² = 400 + 400
H = √800
H = 20√2
Therefore the value of the diagonal will be equal to 20√2.
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the average of 5 girls is 6 yrs. the average of 4 of them is 16½. what is d age of d fifth gal
Answers
Answer:
This assumes the question should read:
"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal
The age, d, is 14 years.
Step-by-step explanation:
When the girl with age d is not included, the average goes up to 16.5 years. Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years. d is the age of the girl that is removed from the average.
We know that all the girls (GroupA + d) have an average age of 16 years:
(GroupA + d)/5 = 16 years [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].
We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:
(GroupA)/4 = 16.5 years
This tells us the sum of the ages for GroupA:
GroupA = 4*(16.5)
GroupA total = 66 years
From above: (GroupA + d)/5 = 16 years
Since GroupA = 66 years, (66 years + d)/5 = 16 years
(66 years + d) = 90 years
d = 14 years
12345678910111213141516
Answers
Step-by-step explanation:
oh, come on. you can just use common sense.
a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.
for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).
a)
the local minimum values (y) are
-2, -1
b)
the values of x where it had these minimum values are
-1, +3
Suav left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Suav is xx minutes after he leaves his house, until he gets back home.
Answers
The graph for Suav's trip is attached along with the values derived from the information provided.
What is the explanation for the graph?The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.
So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.
It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.
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