Answer:
-5<x<9
Step-by-step explanation:
Within a triangle, the greater an angle, the greater the length of opposite side. So, since we know that 42° gives an opposite side of 23, and (3x+15)° gives an opposite side of 21, (3x+15) must be less than 42:
3x+15<42
3x<27
x<9
We also know that the angle (3x+15)° cannot equal zero or less than zero. So find x when 3x+15=0, and note that our value for x must be greater than this:
3x+15=0
3x=-15
x=-5
so, -5<x
Put both parts together to get: -5<x<9
-9(5x+10) show work please
Answer:
-45x-90
Step-by-step explanation:
-9*5x=-45
-9*10=-90
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.
Based on the information in the diagram, what is the length of side b?
Answer:
29
Step-by-step explanation:
The length of side b is 36.
What is the length of side b?
Triangle 1 and 2 are similar triangles. In order to determine the length of side b, the ratio of the lengths given has to be determined.
45/10 = 4.5
This means that triangle 2 is 4.5 times larger than triangle 1.
Length of side b = 4.5 x 8= 36
To learn more about similar triangles, please check: https://brainly.com/question/10658464
please help me
what is 11 1/4in 3 1/2in and 4 1/2in as whole numbers
Answer:
45/4 7/2 9/2
Step-by-step explanation:
I'm not sure if this is what you wanted so if its not sorry.
Exam
AABC ~ AQRS
Find the missing side length, m.
B
10
m
А
6
9
m = [?]
Answer:
m = 15
Step-by-step explanation:
Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:
QR/AB = QS/AC
QR = m
AB = 10
QS = 9
AC = 6
Plug in the values
m/10 = 9/6
m/10 = 3/2
Cross multiply
2*m = 3*10
2m = 30
m = 30/2
m = 15
10 POINTS!!!!which polynomial represents the sum below?
Answer:
The right answer to the question is A
a landscape architect is designing a pool that has this top view
Answer:
what view?
and whats the question?
Step-by-step explanation:
Don’t quite understand.
Answer:
(a) Same slope and different y intercept
Step-by-step explanation:
Given
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]-3x + 7y = 13[/tex]
Required
Are the lines, parallel?
To do this, we first convert both equations to slope intercept;
[tex]y = mx+ b[/tex]
Where
[tex]m = slope[/tex]
So, we have:
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]-3x + 7y = 13[/tex]
Solve for 7y
[tex]7y = 3x + 13[/tex]
Solve for y
[tex]\frac{7y}{7} = \frac{3x}{7} + \frac{13}{7}[/tex]
[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
So, the two equations are now:
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
When two lines have the same slope but different y intercepts, then they are parallel.
Recall that:
In [tex]y = mx + b[/tex]
[tex]m = slope[/tex]
[tex]b = y \ intercept[/tex]
So:
In [tex]y = \frac{3}{7}x + 11[/tex] and [tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
The slopes are:
[tex]m = \frac{3}{7}[/tex] and [tex]m = \frac{3}{7}[/tex]
The y intercepts are:
[tex]b = 11[/tex] and [tex]b = \frac{13}{7}[/tex]
Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel
Solve for x using
cross multiplication.
3x - 3
2x – 2
=
5
4
x = [?]
Answer:
Step-by-step explanation:
Given
(3x - 3) / 5 = (2x - 2) / 4
Begin by cross multiplying
Solution
4(3x - 3) = 5(2x - 2) Use the distributive property to remove brackets12x - 12 = 10x - 10 Add 12 to both sides.12x = 10x - 10 + 12 Combine the right12x = 10x + 2 Subtract 10x from both sides12x-10x = 2 Combine the left2x = 2 Divide by 2x = 2/2x = 1Note: the original equation gives you 0/5 = 0/4 which is 0 = 0.
for 20 points and brainliest
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
Answer:
376.99in³
Step-by-step explanation:
no proof but a g00gle calculator, you're just gonna have to trust me on this one
Answer:
SA = 376.8 in²
Step-by-step explanation:
area of top:
π4² = 50.24 in²
50.24 x 2 = 100.48 in² (for both ends)
area of side:
circumference = 2 x 4 x π = 25.12 in
area = 25.12 x 11 = 276.32 in²
276.32 + 100.48 = 376.8 in²
A circle has a circumference of 113.04113.04113, point, 04 units.
What is the diameter of the circle?
Answer:
around 36 is the diameter
Step-by-step explanation:
C=2Pir or pi*d
113.04=pi*d
113.04/pi=d
d≈36
give me brainliest[tex]≈[/tex]
36 units is the diameter of the circle.
What is Perimeter?The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.
We can use the formula for the circumference of a circle, C = πd,
where C is the circumference and d is the diameter.
Substituting the given value, we have:
113.04 = πd
To solve for d, we can divide both sides by π:
d = 113.04/π
Using a calculator to evaluate this expression, we get:
d ≈ 36
Therefore, the diameter of the circle is approximately 36 units.
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ3
Find the mean 5575 5617 3324 7860 494 3204 275 6899 578
que mats soya de mućha la pañe trasdeće
Brandon is filling a flower bed with soil. The flower bed is shaped like a rectangular prism and measures 15 feet long and 3 feet tall. If it holds 405 cubic feet of soil, how many feet wide is Brandon's flower bed?
Answer:
9 meters
Step-by-step explanation:
I don't know step by step if jts wrong tell me.
The radius is 15 cm what is the area
Answer:
A = 225 π c m [tex]x^{2}[/tex]
Step-by-step explanation:
the area of a circle formula with radius
A = π r[tex]x^{2}[/tex]
in this case
A = π × 15[tex]x^{2}[/tex]
A = 225 π c m[tex]x^{2}[/tex]
Answer:
Step-by-step explanation:
Area of a circle = π r² you are given the r radius = 15cm
area = π 15² cm
Genies is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/3 batches. Write an equation that can be used to find how many cups of flour genies will need
Equation: (1 2/3)(2 1/3) = x
Answer: 3 8/9 cups
Step-by-step explanation:
x represents the amount of flour she will need in cups.
To solve, convert the mixed numbers to improper fractions and multiply...
1 2/3 becomes 5/3
2 1/3 becomes 7/3
Now we have
(5/3)(7/3) = x
35/9 = x
35/9 is 3 8/9 as a mixed number
help with math thanks so much:)
Answer:
4/3Step-by-step explanation:
1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy
Answer:
The first one is three the second is four
Step-by-step explanation:
1/2÷2/3 (do copy, dot, flop)
1/2·3/2
1·3=3
2·2=4
3/4
The two numbers in bold are the answers
There are 31 motor scooters on a used car lot, along with 67 other vehicles.
What is the probability that a randomly selected vehicle will be a motor scooter?
Write your answer as a fraction or whole number.
Answer:
31/98
Step-by-step explanation:
31 motor scooters
67 other vehicles
31 + 67 total vehicles
31 + 67 = 98
The probability is motor scooters/total vehicles
31/98 is the answer.
Avery has a job where she has a take home salary each month of 1200. If Avery wants to spend no more then 25% of her monthly take home salary on rent , how much can she afford?
Answer:
She can only spend 300 of her monthly salary on rent.
Step-by-step explanation:
DONT SCAM ME WITH A LINK
Answer: 2
600/3 = 200 meaning that each gallon of paint covers 200 sq ft
part 2. Algebraically find the inverse of the function
1. f(x) = -3(x - 4)^2 - 6
2. y = sqrt (x - 4)^2 + 3
3. y = 4 cube root (x)
Answer:
1. f⁻¹(x) = ±²√(-⅓(x + 6)) + 4
2. y = ²√(x–3) + 4
3. y = (x/4)³
9514 1404 393
Answer:
f⁻¹(x) = 4 ±(1/3)√(-3x-18)y = (x -3)² +4y = x³/64Step-by-step explanation:
To find the inverse function, solve for y the equation ...
x = f(y)
__
1.
[tex]x=f(y)\\\\x=-3(y-4)^2-6\\\\x+6=-3(y-4)^2\qquad\text{add 6}\\\\\pm\sqrt{\dfrac{x+6}{-3}}=y-4\qquad\text{divide by -3, square root}\\\\4\pm\dfrac{1}{3}\sqrt{-3(x+6)}=y\qquad\text{add 4, rationalize the denominator}\\\\\boxed{f^{-1}(x)=4\pm\dfrac{1}{3}\sqrt{-3x-18}}\qquad\text{simplify the radical}[/tex]
__
2.
[tex]x=\sqrt{y-4}+3\\\\x-3=\sqrt{y-4}\qquad\text{subtract 3}\\\\(x-3)^2=y-4\qquad\text{square both sides}\\\\\boxed{y=(x-3)^2+4}\qquad\text{add 4}[/tex]
__
3.
[tex]\displaystyle x=4\sqrt[3]{y}\\\\\frac{x}{4}=\sqrt[3]{y}\\\\\left(\dfrac{x}{4}\right)^3=y\qquad\text{cube both sides}\\\\\boxed{y=\dfrac{x^3}{64}}[/tex]
Question 1 (2 points)
Nicole earns a 4.5% commission at LuLu Lemon. She sold $800 worth
of gear. How much was her commission
Answer:
36
Step-by-step explanation:
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operations on this equation
Answer:
The answers to your questions are given below.
Step-by-step explanation:
x² – 24 = 10x
Using the format given in the question above, we shall determine the value of x as follow:
I. Make the equation equal to zero
x² – 24 = 10x
Rearrange
x² – 10x – 24 = 0
II. Find two numbers that multiply to __ and add to ___
Multiply the first term (i.e x²) and the last term (i.e –24). The result is –24x².
Find two factors of –24x² such that their sum will result to the 2nd term (i.e –10x). The numbers are 2x and –12x
Thus, Find two numbers that multiply to –24x² and add to –10x
III. Factored equation
x² – 10x – 24 = 0
x² + 2x – 12x – 24 = 0
x(x + 2) – 12(x + 2) = 0
(x – 12)(x + 2) = 0
Thus, the factored equation is:
(x – 12)(x + 2) = 0
IV. The solution are:
(x – 12)(x + 2) = 0
x – 12 = 0 or x + 2 = 0
x = 12 or x = –2
Thus, the solutions are x = 12 or x = –2
Ao se olhar para a história da Álgebra, desde os primórdios quando o objeto de estudo eram equações algébricas específicas até o estabelecimento de uma área de pesquisa que hoje é essencialmente abstrata (se levarmos em conta muitos dos problemas considerados atualmente pelos pesquisadores), perceberemos um longo caminho de busca de padrões e sedimentação teórica. Essa mesma história nos ensina como aconteceu o difícil estabelecimento dessa área de conhecimento. Houve a necessidade da construção de uma linguagem simbólica apropriada às questões tratadas aliada à consequente emersão de conceitos algébricos cada vez mais abstratos. Só assim a Álgebra se consolidou como área de conhecimento, área essa que é, portanto, fruto de um desenvolvimento histórico e não inata ao ser humano. Dito de outra forma, o conhecimento da Álgebra precisa do meio social para ser aprendido e assimilado pelo indivíduo. De acordo com a nossa estrutura social, esse ensino compete à escola ou, mais especificamente, à disciplina de Matemática. Calcule o produto dos monômios : (4 y²) . (4y)
com calculos pfvr
Answer:
44
Step-by-step explanation:
Trust
Help anybody? If so thanks
What is the radian measure of an angle of 230º?
A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
the length will be 9cm because a square has equal sides it not the same as the rectangle
30 POINTS!!!!! I WILL GIVE BRAINLIEST!!!!!!
What is the measure of angle PQR?
Answer:
40
Step-by-step explanation:
It tells you what Q, R is for the opening. That means that it is 40
The measure of angle PQR is 70 degrees
We have a right triangle - r is 90 degrees
based on geometric rules: angle RPQ = 20
40 : 2
90 + 20 = 110
110 + x = 180
What is the perimeter of the triangle?
The perimeter of the triangle is 180 degrees
The triangle has 180 degrees.
This means that 180 - 110 =70 degrees.
The measure of angle PQR is 70 degrees.
In 32 days, a person saved $56. What was the person's average daily savings?
Answer: $ 1792
Step-by-step explanation:
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
Answer:
0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.
This means that [tex]\mu = 32, \sigma = 7.5[/tex]
Sample of 34:
This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]
Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
This is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a pvalue of 0.121
0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.