Answer:
1.
Step-by-step explanation:
sec x cos x
= 1/cos x * cos x
= cos x / cos x
= 1.
Whats the answer of this equation, Simplify the expression
3(x + y) + 5x + y
Answer:
8x + 4y
Step-by-step explanation:
3(x + y) + 5x + y
3x + 3y + 5x + y....... distribute 3 to both variables in the parenthesis
8x + 4y....................... combine like terms
Answer
8x+4y
Step-by-step explanation:
First you expand the 3(x+y) by multiplying 3 with x+y
So it becomes 3x+3y
Now your new expression will be 3x+3y+5x+y
After that, you combine the like terms, 3x and 5x are like terms, 3y and y are like terms.
So it will become 3x+5x+3y+y
You can add the like terms up, so 3x+5x=8x and 3y+y =4y
The simplified expression will be 8x+4y
Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?
Answer:
28000
Step-by-step explanation:
You multiply 4 and 700.
Answer:
525 students
Step-by-step explanation:
There will be 175 chaperones on the trip.
All you need to do is find 1/4 of 700 which is the number of chaperones.
Then subtract it by 700 to find the number of students.
I hope this helps!!
Which graph represents the equation y = 3/4x – 3 ?
Answer:
You haven't shown the graph image but here is what the graph looks like if the equation is y=3/4x -3
Step-by-step explanation:
Answer:
0.75x-3
Step-by-step explanation:
Which number has an absolute value that is greater than 50?
A
-62
B
-43
C
19
D
38
Step-by-step explanation:
Absolute value is the positive of a number.
Ex: -2 absolute value is 2
So -62 would have an absolute value greater than 50.
Answer:
-62
Step-by-step explanation:
Restaurant industry food and drink sales y (in billions of dollars) in a certain country from 2008 through 2017 can be approximated by the equation y= 3x² + 3.2x + 514,
where x is the number of years since 2008. Assume that this trend continues and predict the year in which the restaurant industry food and drink sales will be $1212
billion.
The year in which the restaurant industry food and drink sales will be $1212 billion is
(Round to the nearest whole number as needed.)
The given quadratic function for the restaurant sales indicates that the sale first reduces then increases.
The year at which the restaurant sale will be $1212 billion is approximately the year 2023.Reasons:
The function for the sales in the restaurant is y = 3·x² + 3.2·x + 514
Where;
y = Sales in billions of dollars
x = Number of years since 2008
Required:
The year in which the restaurant industry food and drink sales will be $1212 billion.
Solution:
When the food and drink sale is $1212 billion, we have;
1212 = 3·x² + 3.2·x + 514
Which gives;
3·x² + 3.2·x + 514 - 1212 = 0
3·x² + 3.2·x - 698 = 0
Factorizing with a graphing calculator gives;
(x + 15.796)·(x - 14.729) = 0
x = -15.796, or x = 14.729
The time will have a natural number value, therefore the positive value of x
= 14.729 is used.
Therefore, the number years since 2008 at which the restaurant sales will
be $1212 billion is approximately 15 years.
The year at which the sales will be $1212 billion = 2008 + 15 = 2023
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Linear or non linear?
Answer:
Linear
Step-by-step explanation:
This is linear because using the data you have provided we can work out that the equation is y= -5x+27
y= mx+ c (c is the gradient)
This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.
For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.
Hope this helps!
Given that P(B|A)=0.86 and P(A)=0.43, what is P(B AND A)? Round to three decimal places.
Answer:
Step-by-step explanation:
P(B|A)=[P(A and B)]/[P(A)]
0.86=[P(A and B)]/0.43
P(A and B)=0.86×0.43=0.3698≈0.340
One angle of a triange is 19 degrees, a second angle is 98 degrees. What is the measurement of the third angle?
Answer:
63°
Step-by-step explanation:
Angle sum property = 180°
=> 19 + 98 + x = 180
=> x = 180 - 117 = 63°
Answer:
63°Step-by-step explanation:
Given,
Measurement of one angle of a triangle = 19°
Measurement of 2nd angle of the triangle = 98°
Let,
The third angle be = x
As we know,
Sum of all the angles of a triangle is 180°
Therefore,
By the problem,
=> 19° + 98° + x = 180°
(On shifting like terms to one side )=> x = 180 - 98 - 19
(On subtracting)=> x = 63
Hence,
The measurement of 5he third angle of the triangle is 63° (Ans)
Solve for m. 3/5m>−30
m>−50
m<−50
m>−18
m<−18
Step-by-step explanation:
you need to be careful when writing/copying the text.
I assume this one here is actually
(3/5)m > -30
then
3m > -150
m > -50
Answer: m > -50
Step-by-step explanation: Got correct on test
An online game site has two memership plans. The first plan gives you unlimited play for $40 a month. The second plan charges a monthly access fee of $4.25 plus $2.75 for each hour you play. After how many hours do the two plans cost the same?
Answer:
after 13 hours
Step-by-step explanation:
Since the monthly fee is $4.25
so
● $4.25 + ( 2.75 × Number of hours) = 40
● ( 2.75 × Number of hours) = $40 - $4.25
● 35.75/ 2.75 = 13
1.8.3 practice - functions
15. State the domain and range of each of the following functions
[tex]f(x) = \frac{1}{x + 3} [/tex]
[tex]g(x) = \sqrt{x + 6} [/tex]
[tex]h(x) = x {}^{2} + 2x + 5[/tex]
Answer its 5982
Step-by-step explana
help me asap. i’ve been stuck on this question for like two hours
Answer:
Step-by-step explanation:
how do I rewrite this using the distinctive property
6(-4)
I need help because all the answer choices my teacher put were wrong so I dont know what to do
Answer:
Equivalent Expression: [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:
We could use the Quotient Rule of Exponents where it states that:
[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]
Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.
[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]
[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]
Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:
[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]
Applying the Negative Exponent Rule will result in the following exponential expression:
[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]
Therefore, the equivalent expression is: [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].
What is the equation in point slope form of the line that passes through the point (3, 1) and has a slope of –2?
Drag and drop the appropriate number, symbol, or variable to each box.
Answer:
y - 1 = -2(x - 3)
Step-by-step explanation:
Given the point, (3, 1) and the slope of –2:
Let (x₁, y₁) = (3, 1)
slope: m = -2
Substitute these values into the following point-slope form:
y - y₁ = m(x - x₁)
y - 1 = -2(x - 3) ⇒ This is the point-slope form.
A card is drawn from a deck of 52 playing cards. Given that it is a black card, what is the probability that it is the following? (Enter your probabilities as fractions.)
(a) a club
(b) a jack
1. find measure of A
2. find measure of B
3. find measure of C
4. find measure of D
solve and give explanations and pictures pls
Answer:
A.25×5×8=960
B.15×7×14=1610
C.5x39×8=1290
D.12×20×4=1124
Step-by-step explanation:
yan po hirap
To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liquid oxygen are mixed together in the external tank. How much fuel is
stored in the external tank?
There are kilograms of fuel stored in the external tank.
Answer:
There are 719,115.8179kg of fuel stored in the external tank
Step-by-step explanation:
102619.377 + 616496.4409 = 719,115.8179
Question 3 Essay Worth 10 points)
(0104 MC)The elevation of city Als 60 feet above sea level the elevation of city is 12 teet above sea level The elevation of city Dis of the elevation of cty C
Part A: Write an expression to represent the elevation in feet of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
X
*
=
QS
BIUS XX
T:
99
Styles
Normal
F
- A- - ?
(C/100
Answer:
I tried but I couldn't figure it out sorry
Mrs. Cho has 24 students in her class. Some of her students are also in the play.
Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
914 1404 393
Answer:
24% of 24 is not a whole number
Step-by-step explanation:
24% of Mrs. Cho's students is ...
0.24 × 24 = 5.76 . . . students
This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.
in Littletown , the probability a team goes to the city playoffs is 0.20. the probability a team goes to the state playoffs given that the the team goes to the city playoffs is 0.50.
what is the probability that a randomly selected team from Littletown goes to goes to the city a state finals?
Answer: 10%
Step-by-step explanation:
If X, then not Y. If not Y, then Z. Y is true. So:
Answer:
Z and X is incorrect
Can’t figure this out need help
Answer:
d
Step-by-step explanation:
range means y values so automatically a and b aren't right
there's no limits for y since it's linear, so it's D
that R sign basically means "all real numbers"
Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
1. If Athlete J continues at that speed, how long will it take to run one mile?
2.How long will it take Athlete J to run 5 miles at that same speed?
3.Who runs faster, Athlete J or Athlete H? Explain your answer.
If Athlete J continues at that speed, it will take 12 minutes to run 1 mile
It will take Athlete J 60 minutes to run 5miles
Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.
The formula for calculating the speed of the athlete is expressed as:
Speed = Distance/Time
1) If Athlete J runs 2/3 of a mile in 8 minutes, this can be expressed as:
2/3 miles = 8 minutes
If the athlete runs for 1 mile, then;
1 mile = x
Divide both expressions
2/3 = 8/x
2x = 24
x = 12 minutes
Hence If Athlete J continues at that speed, it will take 12 minutes to run 1 mile
2) if athlete J run 5 miles, the time taken will be expressed as;
2/3(5) = 8/x
2/15 = 8/x
2x = 120
x = 60minutes
Hence it will take Athlete J 60 minutes to run 5miles
3) If Athlete H runs 2 3/4 miles in 1/2 hour, then the speed of athlete H will be expressed as:
Speed = (2 3/4)/0.5
Speed = 2.75/0.5
Speed = 5.5miles/hr
For Athlete J;
Speed = 5/1
Speed = 5 miles/hr
Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.
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Does anyone know this?
Answer:
all squares are quadrilaterala
Step-by-step explanation:
it has 4 sides and I just remember.
Answer:
All squares are quadrilaterals.
Step-by-step explanation:
Squares are defined as quadrilaterals with four right angles and four congruent sides.
John has $75 in his savings account. every week he deposits $7. which table represents the amount of money john has in his savings account after 5 weeks.
Answer: C
Step-by-step explanation: Depositing is the act of putting money inside the bank account usually to gain interest.
If John started with $75, you add his deposit ($7) which comes out to 82. Then add 82+7 which equals 89 and so on.
75+7= 82
82+7= 89
89+7= 96
96+7= 103
Answer: is the C
Step-by-step explanation:
bank account: 75$
1st week:75
2nd week:82
3rd week:89
4th week:96
5th week:103
127°
37°
Х
Calculate the size of angle x.
angle x =
The size of angle x from the figure is 16 degrees
The sum of the interior angle of a triangle is 180 degrees, hence to get the value of X, we will take the sum of all the given angles and equate them to 180 degrees.
127 + 37 + X = 180
164 + x = 180
Subtract 164 from both sides
164 + x - 164 = 180 - 164
x =16 degrees
Hence the size of angle x from the figure is 16 degrees
Learn more on angles here: https://brainly.com/question/16281260
Answer:
Solution :As we know that the sum of interior angles of triangle is 180⁰.
Accounting to the question :
[tex]\implies[/tex] Sum of angles = 180⁰
[tex]\implies[/tex] 127⁰ + 37⁰ + X = 180⁰
[tex]\implies[/tex] 164⁰ + X = 180⁰
[tex]\implies[/tex] X = 180⁰ - 164⁰
[tex]\implies[/tex] X = 16⁰
Hence, the size of angle is 16⁰.
[tex]\rule{300}{1.5}[/tex]
rewrite the equation in Ax+By=C form, use intergers for A, B, and C.
Answer:
2x - y = - 8
Step-by-step explanation:
y - 4 = 2(x + 2) ← distribute
y - 4 = 2x + 4 ( subtract y from both sides )
- 4 = 2x - y + 4 ( subtract 4 from both sides )
- 8 = 2x - y , that is
2x - y = - 8 ← in standard form
with A = 2, B = - 1 and C = - 8
identify the antecedent and consequent of each conditional statement if they had a guard dog then no one would trust pass on their property
The antecedent is They had a guard dog and the consequent is No one would trust pass on their property.
The proposition given contains a conditional, whose form is [tex]p \implies q[/tex], representing a causal relationship, where:
(Antecedent) [tex]p:[/tex] They had a guard dog.
(Consequent) [tex]q:[/tex] No one would trust pass on their property.
Hence, the antecedent is They had a guard dog and the consequent is No one would trust pass on their property.
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Antonio buys a television worth $700 at a rent-to-own business. Because he doesn't have $700 on the day of purchase, he will pay $100 per
month for 12 months and will be able to take the television home immediately. How much will Antonio end up spending on the television after
his 12 payments?
OA. $100
OB. $500
OC. $700
OD. $1200
Answer:
$1200
Step-by-step explanation:
Since he's paying $100 on a 12 month plan, you do
100 * 12 = 1200
In total he's paying $1,200.
Answer: 1200
Step-by-step explanation: Hope this helps :)
Look at the image and please help out! I need an answer.
Answer:
4b<30
Step-by-step explanation:
product means multiply so 4•b or 4b
less than so<
Step-by-step explanation:
addition means the sum of 2 numbers
so.....b+4 <30
b <30-4
B <26
