Answer:
1) subtracting 5
2) adding 20
3) dividing by 2 (multiplying by 1/2)
4) multiplying by 1/10 (dividing by 10)
Step-by-step explanation:
There are four main operations in math: adding, subtracting, multiplying, and dividing. Each of the operations has an opposite. Adding and subtracting are opposites and multiplying and dividing are opposites. This means that subtracting can undo adding and vice versa; additionally, dividing can undo multiplying or vice versa. So, to find the opposite of something switch the operation to the opposite and keep the number. However, it is important to note that with multiplying and dividing you can also find the opposite by keeping the operation while changing the number to the reciprocal.
Find the values of x for which the denominator is equal to zero for y=x^2/x^2+1 .
Answer:
Step-by-step explanation:
I assume that you mean y = x²/(x²+1), not y = x²/x²+1.
x²+1 = 0
x² = -1
x = ±√(-1) = ±i
deleted: deleted by user
Need help with this one please
it right answer is Clovis 2.5% it answer
What is 35 degrees Celsius in Fahrenheit equal
Answer:
95°Fahrenheit
hipe this helps you
At the 6th grade school dance, there are 132 boys, 89 girls, and 14 adults. What is the ratio of students to adults at the school dance?
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Answer:
221 : 14
Step-by-step explanation:
The ratio is ...
students : adults = (boys + girls) : adults = (132 +89) : 14 = 221 : 14
__
That's about 15.8 to 1.
Answer:
221:14
Step-by-step explanation: 132+89=221 (students) and 14 adults and the order is students to adults so 221:14
if 5 breads for $100 and they want 2000 breads how much will it cost
Answer:
$40,000
Step-by-step explanation:
If 5 breads cost $100, then 1 bread will cost 100/5=20.
So if 1 bread cost $20, then 2000 breads will cost 2000*20=$40,000.
Answer:
$40000
Step-by-step explanation:
5 breads=$100
1 bread=$100/5=$20
2000 breads= $20 x 2000 = $40000
3x+7>10
Solve for x.
Answer: x>1
Step-by-step explanation:
To solve for x, we want to isolate x.
3x+7>10 [subtract both sides by 7]
3x>3 [divide both sides by 3]
x>1
Therefore, we know that x>1.
Answer:
Step-by-step explanation:
3x + 7 > 10
3x > 10 - 7
3x > 3
x > 1
x ∈ ( 1, ∞ )
A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with known variance σ. What is the critical value for the test statistic for the significance level of 0.010
Answer:
The critical value is [tex]Z_c = -2.327[/tex]
Step-by-step explanation:
A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5
Test if the mean is less than a value, so a one-tailed hypothesis test is used.
Known variance σ.
This means that the z-distribution is used to solve this question.
What is the critical value for the test statistic for the significance level of 0.010?
Z with a p-value of 0.01, so, looking at the z-table, [tex]Z_c = -2.327[/tex]
Which is the graph of f(x) = 4(1/2)^x
Answer:
B.
Step-by-step explanation:
f(x) = 4(1/2)^x
Let's find the value of the function for x = 0 and for x = 1.
f(0) = 4(1/2)^0 = 4(1) = 4
f(1) = 4(1/2)^1 = 4(1/2) = 2
The only graph that has both points (0, 4) and (1, 2) is the second graph.
Answer: B.
Please help me quick I’ll give brainliest
Gemma recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 16 miles per hour faster than on her way home. If Gemma spent a total of 1 hour bicycle, find the two rates.
first speed --- x mph
return speed -- x+16 mph
6/x + 6/(x+16) = 1
times each term by x(x+16)
6(x+16) + 6x = x(x+16)
x^2 + 4x - 96 = 0
(x-8)(x+12) = 0
x = 8 or x is a negative
her first speed was 8 mph
her return speed was 24 mph
check:
6/8 + 6/24 = 1 , that's good!
find all missing angles in the following diagram
Step-by-step explanation:
the item angle on the left line is also 130 degrees, as these 2 equally long lines create a triangle with 2 equal sides.
the two internal angles are the complement from 130 to 180 degrees, as every straight line stands for 180 degrees.
so, 180-130 = 50 degrees.
=> both internal angles are 50 degrees.
that makes the angle at the bottom tip of the triangle the complement of both 50 degree angle to 180, because the sum of all angles in a triangle is always 180 degrees.
so, 180 - 50 - 50 = 80 degrees.
and the outside angles of that triangle tip angle are each half of the complement of these 80 degrees to 180 (resistive to the bottom horizontal line).
180 - 80 = 100
100/2 = 50
so, both outside bottom angles are again 50 degrees.
angle P and angle Q are complementary. The measure of angle Q is 33.5°. What is the measure of angle P?
Answer:
56.5 degrees
Step-by-step explanation:
Because complementary angles are when their sum is 90, you get the equation:
P + Q = 90
Since Q is 33.5,
P + 33.5 = 90
Subtracting 33.5 from both sides,
P = 56.5
A businessman spends 1/5 of his travel expense funds on a hotel room and 4/10 on airfare. What percentage of his travel expenses are left over?
Answer: 40%
Step-by-step explanation:
1/5=20%, 4/10=40%. 20 + 40 = 60. [ 100% - 60% = 40%]
Evaluate for x=2 and y=3: x^2y^-3/x^-1y
Answer:
8/81
Step-by-step explanation:
It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.
The given expression reduces to x³ / y^4.
Substituting 2 for x and 3 for y, we get:
(2)³ 8
--------- = ---------- (Agrees with first given possible answer)
(3)^4 81
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 73% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA test until the first pass. (Assume the trials are independent).
(a) What is the probability that Cathy passes the CPA test on the first try?
(b) What is the probability that Cathy passes the CPA test on the second or third try?
Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:
For point a:
[tex]\to P(1) = 0.73[/tex]
For point b:
[tex]\to P(2\ or\ 3) = P(2) + P(3)[/tex]
[tex]= 0.27 \times 0.73 + 0.27\times 0.27\times0.73\\\\=0.1971+0.1971\times 0.27\\\\=0.1971+0.053217\\\\=0.250317[/tex]
One-ninth of all sales at a local Subway are for cash. If cash sales for the week were $690, what were
Subway's total sales?
Select one:
O a. $22,600
O b. $2,611
O c. $6,210
O d. $2,610
e. None of these
Answer:
c. $6,210Step-by-step explanation:
Total sales = x
x*1/9 = 690x = 690*9x = 6210Correct choice is C
If today is Friday, tomorrow will be Saturday
Answer:
Yes
Step-by-step explanation:
Yesterday would be Thursday and the day after next would be Sunday
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?
Answer:
[tex]\frac{AB}{BC} = \frac{CE}{ED}[/tex]
Step-by-step explanation:
Given
The attached proof
Required
Complete the missing piece
In (a), we have:
[tex]\triangle ABC \to \triangle CED[/tex]
This implies that, the following sides are similar:
[tex]AB \to CE[/tex]
[tex]AC \to CD[/tex]
[tex]BC \to ED[/tex]
An equation that compares the triangle can be any of:
[tex]\frac{AB}{BC} = \frac{CE}{ED}[/tex]
[tex]\frac{AB}{AC} = \frac{CE}{CD}[/tex]
.....
From the options;
[tex]\frac{AB}{BC} = \frac{CE}{ED}[/tex] is true
A water reservoir is shaped like a rectangular solid with a base that is 60 yards by 30 yards, and a vertical height of 30 yards. At the start of a three-month period of
no rain, the reservoir was completely full. At the end of this period, the height of the water was down to 6 yards. How much water was used in the three-month period?
How much water was used in the three-month period?
Please help :)
Answer:
43200 yd³
Step-by-step explanation:
The water reservoir is a rectangular solid that is a three dimensional shape with six quadrilateral faces (cuboid).
This reservoir has a base of 60 yards by 30 yards, and a vertical height of 30 yards. Therefore:
Volume of the reservoir = area of base * vertical height = 60 * 30 * 30 = 54000 yd³
This reservoir hence have a volume of 54000 yd³ when filled up with water.
After 3 months, the height of the water was down to 6 yards therefore the the volume is:
Volume after 3 months = area of base * vertical height = 60 * 30 * 6 = 10800 yd³
The amount of water used after 3 months = volume of water at beginning - volume of water after 3 months
The amount of water used after 3 months = 54000 - 10800 = 43200 yd³
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest side of the triangle is _____.
Answer:
[tex]3.5[/tex]
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, [tex]c^2=a^2+b^2-ab\cos \gamma[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the three sides of the triangle and [tex]\gamma[/tex] is the angle opposite to [tex]c[/tex].
Let [tex]c[/tex] be the side opposite to the 20 degree angle.
Assign variables:
[tex]a\implies 4[/tex] [tex]b\implies 7[/tex] [tex]\gamma \implies 20^{\circ}[/tex]Substituting these variables, we get:
[tex]c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}[/tex]
Therefore, the shortest side of this triangle is 3.5.
Given the function
Calculate the following values:
f( - 1) =
f(0)
f(2)=
-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
Find the volume of the composite solid. Round your answer to the nearest hundredth. A. 22.5mm^3 B. 22.19mm^3 C. 22.53mm^3 D. 22.54mm^3
the All-star appliance shop sold 10 refrigerators, 8 ranges, 12 freezers, 12 washing machines, and 8 clothes dryers during January. Freezers made up what part of the appliances sold in January?
Answer:
Freezers made up [tex]\frac{6}{25}[/tex] = 24% of the appliances sold in January.
Step-by-step explanation:
We have that:
10 + 8 + 12 + 12 + 8 = 50 parts were sold in January.
Freezers made up what part of the appliances sold in January?
12 of those were freezers, so:
[tex]\frac{12}{50} = \frac{6}{25} = 0.24[/tex]
Freezers made up [tex]\frac{6}{25}[/tex] = 24% of the appliances sold in January.
Find x. Simplify completely.
16
25
X =[?]
Answer:
20
Step-by-step explanation:
a)x^2+16^2=a^2
b)x^2+25^2=b^2
c)a^2+b^2=(16+25)^2
a+b)2x^2+25^2+16^2=41^2=a^2+b^2
2x^2=800
x=20
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
Step-by-step explanation:
Lets consider the unknown number as x
according to the question,
6-x= 5(x+2)
6-x= 5x+10
-x-5x=10-6
-6x=4
x=4/-6= 2/-3
x= -2/3
hope this helps
please mark me as brainliest.
Answer:
Step-by-step explanation:
Plato!! Answer: -4
Hope this helped
CAN SOMEONE HELP ME ON ANALYZING DOT PLOTS!!!
Answer:
yes
Step-by-step explanation:
but I can't see them here
g Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible.
Answer:
[tex]4\log_bx - \log_by = \log(\frac{x^4}{y})[/tex]
Step-by-step explanation:
Given
[tex]4\log_bx - \log_by[/tex]
Required
Express as a single expression
Using power rule of logarithm, we have:
[tex]n\log m = \log m^n[/tex]
So, we have:
[tex]4\log_bx - \log_by = \log_bx^4 - \log_by[/tex]
Apply quotient rule of logarithm
[tex]4\log_bx - \log_by = \log(\frac{x^4}{y})[/tex]
On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent. What is the probability P(X < 3)?
Answer:
P(X < 3) = 0.14254
Step-by-step explanation:
We have only the mean, which means that the Poisson distribution is used to solve this question.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour.
This means that [tex]\mu = 4.8[/tex]
What is the probability P(X < 3)?
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4.8}*4.8^{0}}{(0)!} = 0.00823[/tex]
[tex]P(X = 1) = \frac{e^{-4.8}*4.8^{1}}{(1)!} = 0.03950[/tex]
[tex]P(X = 2) = \frac{e^{-4.8}*4.8^{2}}{(2)!} = 0.09481[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00823 + 0.03950 + 0.09481 = 0.14254[/tex]
P(X < 3) = 0.14254
A large bottle of water is leaking. The amount of ounces left in the bottle is shown in the function [tex]O(s) = 72-3s[/tex] is the amount of ounces left, and s is the number of seconds that is the water is leaking out. What is a reasonable domain and range for this function?
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Answer:
D: [0, 24]
R: [0, 72]
Step-by-step explanation:
The function only makes sense for non-negative values of time or water volume. The intercepts of the function are ...
y-intercept: 72
x-intercept: 72/3 = 24
so the reasonable domain is 0 ≤ s ≤ 24,
and the corresponding range is 0 ≤ O(x) ≤ 72.
The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of change of the side of the square when it is 4 centimeters. The rate of change of the side is Number cm/sec.
Answer:
3cm/s
Step-by-step explanation:
Area of a square is expressed as:
A = L²
Rate of change of area is expressed as:
dA/dt = dA/dL•dL/dt
Given that
dA/dt = 24cm²/s
L = 4cm
Required
dL/dt
Since dA/dl = 2L
dA/dl = 2(4)
dA/dl = 8cm
Subatitute the given values into the formula
24 = 8 dL/dt
dL/dt = 24/8
dL/dt = 3cm/s