Answer:
First, we know that sin330 will be in the 4th quadrant, as it lies between 270 and 360 degrees
Step-by-step explanation:
f(x) = 3x²+5, what is f(-3)
Answer:
32
Step-by-step explanation:
f(x) = 3x²+5
f(-3) = 3(-3)^2+5 = 27 + 5 = 32
Answer:
F(-3)=86
Step-by-step explanation:
3•(-3)^2 + 5
-9^2 +5
81+5=86
can someone tell me all the answers for 2 - 5/6
Answer:
1.17
Step-by-step explanation:
1.16666666667 ,, i guess you round it off
What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.
Correct method to factor this expression are:
Factor by grouping.
Factor out the GCF.
What is factorization?A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.
The equation becomes:
= 4x² - 26x + 30
= 2 (2x² - 13x + 15)
= 2 (2x² - 10x - 3x + 15)
= 2 {2x (x - 5) - 3 (x - 5)}
= 2 (2x - 3) (x - 5)
Thus, the two methods are the best choices to factor this express are:
Factor by grouping.
Factor out the GCF.
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Katelin is the pastry chef at the Brown Palace Hotel. She is making scones for their afternoon tea. Her recipe serves 6 people, but she needs to make
enough for 50 servings. The recipe calls for cup of sugar. How many cups of sugar will she need in all?
The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the provided instructions in the question,
The recipe is for 6 people in which 1 cup of sugar is required.
Total number of people = 50
Cup of sugar required for the recipe = 50/6 = 8.33 cups.
It means that 8.33 cups of sugar is required to make the recipe for 50 people.
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Plz help me I don’t het this a question !!!
Answer:
C=50.24
Step-by-step explanation:
Formula for circumference with radius: 2[tex]\pi[/tex]r
r= radius
C=circumference
Now subsitute the variables with the values given.
Formula: 2[tex]\pi[/tex]r -> 2(3.14)(8)
C=50.24
The dimensions of a triangle are multiplied by 1S_4.Thearea of the smaller triangle can be found by multiplying the area of the original triangle by what number?
Answer: 16
Step-by-step explanation:
This explanation is all based on the fact that I read 1S_4 as 1/4 which is the most sensable assumption.
let b be base and h be height of the triangle
if each b and h is divided by 4
=> b/4 and h/4
using triangle area formula
1/2 x b/4 x h/4 = (bh)/32
the original triangle
=> 1/2 x b x h = (bh)/2
(bh)/32 x (something) = (bh)/2
that something is
(bh)/32/((bh)/2) = 16
Or
you could use the fact that the ratio of sides of those two triangles is 1 to 4 and because we are comparing the ratio of the area 1^2 to 4^2 which results in a 1 to 16 ratio which simply means you just have to multiply the smaller triangle by 16.
Plsssssssssssssss help
Answer:
D?
Step-by-step explanation:
that my opinion but if i'm wrong i apologize
heres your daily dos of math
y = -4 - (-11)
Answer:
The answer is 7............
Answer:
y = -4 - (-11)
Since all the variables and constants are together on each side, just solve as is.
y = -4 - (-11)
y = 7
Step-by-step explanation:
hope this helps:)
HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?
a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t
Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
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graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go to
positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
to values go to positive infinity.
Mark thes, and retum
and Exit
Next
Submit
Answer:
A. As the x-values go to positive infinity, the function's values go to negative infinity.
Step-by-step explanation:
Simplify numbers with units 1.
Answer:
1. 1 min : 2 min
2. 1 min : 4 min
3. 1 : 5
4. 1 : 2
5. 1 hr : 4 hrs
6. 7 p : 10 p
7. 5 : 2 : 3
8. 1 : 3
9. 3 : 5
Step-by-step explanation:
break it down to the lowest, which means to keep dividing it till it can't anymore.
hope that helps
Solve each system using substitution. Check your answer
x+3=y
3x+4y=7
Answer:
x = -5/7
y = 16/7
Step-by-step explanation:
3x + 4y = 7
3x + 4(x+3) = 7
3x + 4(x) + 4(3) = 7
3x + 4x + 12 = 7
7x + 12 = 7
7x + 12 - 12 = 7 - 12
7x = -5
7x ÷ 7 = -5 ÷ 7
x = -5/7
---------------------------------------
x + 3 = y
(-5/7) + 3 = y
16/7 = y
-----------------------------------------
3x + 4y = 7
3(-5/7) + 4(16/7) = 7
-15/7 + 64/7 = 7
7 = 7
The required value of the x and y by substitution method is -5/7 and 16/7 respectively.
Given,
System of equation
x+3=y
3x+4y=7
To solve using the substitution method.
The equation is the values of two functions that are equal.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)
from equation 1 substitute y in equation 2
3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7
Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.
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please help me with this
Answer:
Try adding the percent of 5.
Step-by-step explanation:
(5 percent off 19.00 is 18.05 The difference is 0.95)
It might be ADDING in the situation
cause 19.00 + (5percent) = 19.95
Why: I think its adding a percent of 5
Because clue content.. And the clue was (total cost with service fee)
(total) is one of the context clues for addition or adding.
and it adding service fee.
so it wants an addition of the total cost with service fee.
HOPE I HELPED
PLS HELP MEEEEE REEEEEEE
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
!!!!!Help Me Pls!!!!!
Answer:
b. 36
Step-by-step explanation:
Which expression is equivalent to 6(7x – 4)?
Group of answer choices
42x - 4
42x - 24
13x - 4
7x - 24
[tex]\huge\text{Hey there!}[/tex]
[tex]\bold{Equivalent\ to: 6(7x -4)}[/tex]
[tex]\bold{FIRST\ you\ have\ to\ DISTRIBUTE}[/tex]
[tex]\bold{Formula\downarrow}\\\bold{a(b+c)}\\\bold{a(b)+a(c)}\\\bold{=\underline{ab+ac}}[/tex]
[tex]\bold{6(7x-4)}\\\bold{6(7x)+6(-4)}\\\bold{6(7x)=42x}\\\bold{6(-4)=-24}\\\bold{\underline{42x-24}}\\\\\boxed{\boxed{\bold{Answer: \large{\text{\bf{B. 42x - 24}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A grocery store sells 3 pounds of Granny Smith apples for $6.27. It sells 5 pounds of Red Delicious apples for $9.95. Which costs more per pound?
Which expression is equivalent to 30c - 24d?
Answer:hmm 30c - 24d = 6d or 6c
Step-by-step explanation:
Find the exact perimeter of quadrilateral ABCD plotted below. These are the points:
A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)
Choose 1 answer:
A: 5 + √85 + 2√65
B: 5 + 2√85 + √65
C: √10 + 2√85 + √65
D: 19 + 2√65
The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The perimeter of the quadrilateral ABCD is plotted. These are the points:
A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)
The distance of AB
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]
The distance of BC
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]
The distance of CD
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]
The distance of AD
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]
Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.
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In ΔQRS, the measure of ∠S=90°, QR = 71 feet, and SQ = 50 feet. Find the measure of ∠R to the nearest degree.
Answer:44.767=45
Step-by-step explanation:
sinR=
71
50
R=\sin^{-1}(\frac{50}{71})
R=sin
−1
(
71
50
)
R=44.767\approx 45^{\circ}
R=44.767≈45
∘
Answer:
45
Step-by-step explanation:
1. Given A = πrl, make l the subject of the formula.
2. Given P =RT/V, make T the subject of the formula.
3. Given I =PRT/100, make T the subject of the formula.
4. Given V =πd^2h/4, make d the subject of the formula.
5. Given V = u + at, make t the subject of the formula.
6. Given T =A/R−r, make r the subject of the formula.
7. Given Q =R(B−T)/B, make B the subject of the formula.
8. Given P − mg =Mv^2/r, make:
a) v the subject of the formula.
b) m the subject of the formula.
9. Given m2 =a+b/a−b, make:
c) b the subject of the formula.
d) a the subject of the formula.
10. Given A =h(a+b)/2,express b as the subject of the formula.
11. R = √pm−q/q+cm, make m the subject of the formula.
12. Given n =1/d^2,make d the subject of the formula.
13. V = √a^2−x^2, make x the subject of the formula.
14. Given that P = r^2h, make h the subject of the formula.
15. If =brt/v−b, make r the subject of the formula.
Answer:
1. l= A/πr
2. T = PV/R
3. T = 100l/PR
5. t = v/u + a
the difference of products of a fraction with 5 whole 7/8 and 3 whole 3/4 is 11.Find the fraction.
Answer:
88/17
Step-by-step explanation:
5x · 7/8 - 3x · 3/4 = 11
35x/8 - 18x/8 = 17x/8
17x/8 = 11
17x = 88
x = 88/17
The cone shown has a radius of 6 inches and a slant height of 10 inches. What is the total surface area of the cone?
Answer:
[tex]A=301.71\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The radius of a cone, r = 6 inches
The slant height of the cone, l = 10 inches
We need to find the total surface area of the cone. It is given by :
[tex]A=\pi rl+\pi r^2[/tex]
Substituting all the values,
[tex]A=\pi r(l+ r)\\\\A=\dfrac{22}{7}\times 6\times (10+ 6)\\\\A=301.71\ \text{inches}^2[/tex]
So, the total surface area of the cone is [tex]301.71\ \text{inches}^2[/tex].
Determine whether enough information is given to prove that the triangles are congruent
1. Yes
2. No
Which triangle is a 30°-60-90° triangle?
1st Triangle
2nd Triangle
3rd Triangle
Answer:
1st Triangle
Step-by-step explanation:
What are some things we can comment about this image? Be as specific as possible!
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of −0.91 is calculated. What would this imply about the football team winning at home?
A The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
B The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.
C The scatter plot would not be represented by a line of best fit with a negative slope.
There is a weak correlation between the football team playing at home and winning.
D There is no causation and almost no correlation between the football team playing at home and winning.
Using correlation coefficients, it is found that the correct option is:
B The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.It also is the slope of the line of best fit.In this problem, the correlation coefficient of −0.91, meaning that there is a strong inverse relation between the location of the game and the team's winning percentage, that is, the team is more likely to win on the road, hence, option B is correct.
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A. Suppose an angle measure is 55 degrees. What is the measure of its complementary angle? Draw the angle and label both measures.
B. Suppose an angle measure is 110 degrees. What is the measure of its supplementary angle? Draw the angle and label both measurements.
Answer:
A: 45 degrees
B: 70 degrees
Step-by-step explanation:
A: Complimentary angles add up to 90 90-55=45
B: Supplementary angles add up to 180 180-110=70
If cos(t) =
−
1
2
and tan(t) < 0, find sin(t) and cos(-t)
Answer:
cos theta=-1/2
theta=cos-¹(-1/2)=120
tan theta=tan 120=-√3
sin theta=sin120=√3/2
cos(- theta)=cos theta=cos 120=-1/2
4 movies tickets cost. at this ratio what cost of 11 movies tickets
Answer:
44
Step-by-step explanation:
Recognize 4 tickets cost 4$
11 movie tickets
We multiply 11x4
11x4=44
Question: 4 movies tickets cost. at this ratio what cost of 11 movies tickets.
Answer: 44
Basacly what you have to do is multiply them.
4 movies tickets x 11 movies tickets so we do the math and we get
44^^^^^^^^^^^^^^