Answer:
[tex]f(3) =-8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x + 5; x<1[/tex]
[tex]f(x) =-3x + 1; x >1[/tex]
Required
Determine f(3)
f(3) implies that x = 3.
We make use of
[tex]f(x) =-3x + 1[/tex]
Because x >1 (i.e. 3 > 1)
Substitute 3 for x in f(x) =-3x + 1
[tex]f(3) =-3*3 + 1[/tex]
[tex]f(3) =-9 + 1[/tex]
[tex]f(3) =-8[/tex]
in science and engineering, radians are much more convenient and common than degrees. what is the degree value for one radian ?
57.3
63.8
49
314
Answer:
57.3
Step-by-step explanation:
just took the quiz
Sonya makes a pattern of values for x and a pattern of values for y. Which
ordered pair continues the patterns and has an x-value of 6?
Answer: (6, 9)
Step-by-step explanation:
We have the pairs:
x y
0 0
2 3
4 6
These can be written as points (0, 0), (2, 3) and (4, 6)
This seems to be a linear relationship:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In the cases where the point (0, 0) belongs to the graph, we have a proportional relationship, which is written as:
y = k*x
In this case we have that point, then this is a proportional relationship.
Now we could just replace the values of one of the points (not the (0,0) point) in the equation in order to find the value of x.
If we use the point (2, 3) we get:
y = 3
x = 2
then:
3 = k*2
3/2 = k
Then the relationship is:
y = (3/2)*x
Now we want to know the ordered pair such that x = 6, then we just eed to replace x by 6 in the above equation:
y = (3/2)*6 = 9
Then we have x = 6 and y = 9
The correct option is (6, 9)
If anyone understands this pls helpp me
Answer: D - Mr. Lopez and Mrs. Foster
Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class
What is the Unknown number in proportion
Answer:
8*7/4=7x
56/4=7x
14=7x
x=2
Step-by-step explanation:
A 90-foot wire runs from the top of a cell phone tower to the ground 63 feet from the base of the tower. approximately how tall is the cell phone tower?
Answer:
Step-by-step explanation:
Height = √(90^2-63^2) = √4131 ≈ 64 ft
1:13 scale model bobble head of you, how tall would it be in centimeters if you are 170.18 cm?
Answer:
13,1cm
Step-by-step explanation:
1 : 13
1 : 170,18cm
170,18cm divided 13 : 170,18cm
13,090cm : 170,18cm
or
13,1cm : 170,18cm
bobble head is
13,1cm
cmiiw!
Which angles measure 130?
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer
Answer:
I dont see the question
Step-by-step explanation:
soryy
Please help me!!!!
Ernest bought some cans of paint and 4/5 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 2/5 of a liter of additive in each can. How many cans of paint did Ernest buy?
Answer:
He bought 2 cans of paint
Step-by-step explanation:
If he put ⅖ in each, and ⅘ total, he would have had 2 cans
Quantity of special paint additive Ernest bought = [tex] \tt \frac{4}{5} \: of \: a \: litre [/tex]
Quantity of additive he put in each can = [tex] \tt \frac{2}{5} \: of \: a \: litre [/tex]
Number of cans of paint he bought :
[tex] =\tt \frac{4}{5} \div \frac{2}{5} [/tex]
[tex] = \tt\frac{4}{5} \times \frac{5}{2} [/tex]
[tex] = \tt\frac{4 \times 5}{5 \times 2} [/tex]
[tex] =\tt \frac{20}{10} [/tex]
[tex]\color{plum} = \tt2 \: paint \: cans[/tex]
▪︎Therefore, Ernest bought 2 paint cans.
Hi! 8th grade math problem for you. Please see the screenshot
Answer:
r=4/2=2cm
total volume=volume of cylinder + cone=πr²h+1/3πr²h'=πr²(h+1/3 h')=2²π((10-3)+1/3× 3)=4π(7+1)=8×4π=32πcm³
2x + 7y =3 what is x and what is y
2x + 7y = 3
2x = 3 - 7y
x = [tex]\frac{3x-7}{2}[/tex]
2x + 7y = 3
7y = 3 - 2x
y = [tex]\frac{3 - 2x}{7}[/tex]
can someone please help me ??!!
3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look
up at a 50 degree angle to see the top of the arch. How far away from the base of the
arch is she standing?
Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
What is trigonometry?In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given parameters:
Height of the Gateway Arch in St. Missouri = 630 feet.
Priya have to look up at a 50° angle to see the top of the arch.
Now from definition of tanθ in trigonometry:
tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri
hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷ tan50°
= 630 feet ÷ tan50°
= 528.63 feet.
Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
Learn more about trigonometry here:
https://brainly.com/question/29002217
#SPJ5
brainliest for answer
Answer:
b=2f+6
b=2*9+6
b=18+6
b=24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
2 x 9 + 6 = 24
Convert the fraction to a decimal 5/15
Find the radius of the circle. The center of the circle is (2, -3) and a point that lies on the circle is (-1, -2).
Answer:
[tex]\displaystyle r = \sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Geometry
Definition of a radius - the center of a circle to any point to the circumferenceAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Center (2, -3) → x₁ = 2, y₁ = -3
Circumference point (-1, -2) → x₂ = -1, y₂ = -2
In this case, the distance d from the center to the circumference point would be the radius r of the circle.
Step 2: Find Radius r
[Distance Formula] Define equation [Radius]: [tex]\displaystyle r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute in points [Radius]: [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2--3)^2}[/tex][Radius] [√Radical] (Parenthesis) Simplify: [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2+3)^2}[/tex][Radius] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle r = \sqrt{(-3)^2+(1)^2}[/tex][Radius] [√Radical] Evaluate exponents: [tex]\displaystyle r = \sqrt{9+1}[/tex][Radius] [√Radical] Add: [tex]\displaystyle r = \sqrt{10}[/tex]PLEASE HELP! WILL GIVE YOU BRAINLEST
Alana is riding a Ferris Wheel with Brianna and either Lindsay, Emily, or Janelle.
Lindsay is at the movies.
Emily does not like caramel apples.
Janelle is afraid of heights and won't go on rides over 15 feet high.
.
.
Who is the third person riding the Ferris Wheel?
third person =
Answer:
Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.
Answer:
Emily
Step-by-step explanation:
The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.
I’ll give you 15 points if you know the answers to this question
It would be B)no.
Hope This Helps!
2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.
Answer:
i think 25.09 weighs more
Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number
sorry if you get it wrong :c
Help ? PLEASE HURRY !
Answer:
Step-by-step explanation:
Sine of U = 8/17
opposite /hypotensue
Atoms are made up of subatomic particles including protons and electrons. The mass of a proton is about 1.6726 x
10-27 kg and the mass of an electron is about 9.1094 x 10-31 kg. Determine how much mass a proton and electron
has combined. Express the result in scientific notation.
O 1.6717 x 10-27
O 16,717 * 10-31
O 1.6735 x 10-27
O 16,735 x 10-31
Answer:
C
Step-by-step explanation:
I got a 100%
Please help.
Find the value of x
Answer:
X=130
Step-by-step explanation:
because 180-50=130
trust me this is the correct answer
Amphibian populations are in decline worldwide due to the increasing prevalence of ranavirus infections. Herpetologists (those that study amphibians and reptiles) are especially concerned with how ranavirus infections may be affecting Ozark and eastern hellbender populations.
Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%. Suppose a random sample of size 118 is taken of the eastern hellbender population and a random sample of size 177 is taken of the Ozark hellbender population. Every hellbender in each sample is tested for ranavirus, and the sample proportions for each of the two samples are calculated.
Required:
Which of the two sample proportions is more likely to exceed 22% ?
Answer:
The sample proportion of size 177 is more likely to exceed 22%.
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 zscore 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 pvalue, 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%.
This means that [tex]\mu = p = 0.25[/tex]
Sample of size 118:
[tex]n = 118, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0399[/tex]
Probability of sample proportion above 22%.
This is 1 subtracted by the pvalue of Z when X = 0.22. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.25}{0.0399}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
1 - 0.2266 = 0.7734
0.7734% probability that a random sample of size 118 exceeds 22%.
Sample of size 177:
[tex]n = 177, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0325[/tex]
Probability of sample proportion above 22%.
This is 1 subtracted by the pvalue of Z when X = 0.22. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.25}{0.0325}[/tex]
[tex]Z = -0.92[/tex]
[tex]Z = -0.92[/tex] has a pvalue of 0.1788
1 - 0.1788 = 0.8212
0.8212 = 82.12% probability that a random sample of size 177 exceeds 22%.
82.12% > 77.34%, so the sample proportion of size 177 is more likely to exceed 22%.
The sample proportion that is more likely to exceed 22% is; the sample proportion with a sample size of 177
Central Limit Theorem
We are given;
Population proportion; p = 25% = 0.25
Now, in central limit theorem, the formula for standard deviation is;
σ = √(p(1 - p)/n)
For a sample size of 118, we have;
σ = √(0.25(1 - 0.25)/118)
σ = √0.001588983
σ = 0.03986
Similarly, for a sample size of 177, we have;
σ = √(0.25(1 - 0.25)/177)
σ = √0.001059322
σ = 0.032547
Since we want to find which of the two sample proportions will likely exceed 22% which is p₀ = 0.2, we will use the formula;
z = (p₀ - p)/σ
For sample size of 118, we have;
z = (0.22 - 0.25)/0.03986
z = -0.75
From online p-value from z-score calculator, we have;
p-value = 0.7734 or 77.34%
For sample size of 177, we have;
z = (0.22 - 0.25)/0.032547
z = -0.92
From online p-value from z-score calculator, we have;
p-value = 0.8212 or 82.12%
The p-value of the sample of 177 is higher than the p-value for the sample of 118 and so we can say that the sample proportion with a sample size of 177 is more likely to exceed 22%
Read more about Central Limit theorem at; https://brainly.com/question/25800303
Write formula for the following mathematical statement.
The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it
Answer:
F=ma
Step-by-step explanation:
F is force and its measured in Newtons (N)
m is mass measured in kg
a is acceleration measured in metres per second per second
solve the triangles. Round to the nearest tenth А 7 B 6 C
Answer:
Sure but can you show me the triangle.
sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple
Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so
therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have
so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
what is 16 to the power of a half
Answer:
4
Step-by-step explanation:
(3x ^ 2 - 4 + x ^ 3) / (x - 1)
Synthetic Division
Answer:
i love algebra anyways
the ans is in the picture with the steps
(hope it helps can p lz have brainlist it will make my day
Step-by-step explanation:
Write the recursive and explicit formula for 10, 30, 90, 270...
you multiply the previous term by 3 each time
Answer:
Multiply by 3 each time
After 270 youll get 810 because i multiplied 270 by 3
The formula is 3 . 10 right? Correct me if im wrong.
2) Egbert's twin sister Egberta runs her own small business making pies. She delivers all
her own orders. For each order, she charges a flat delivery fee, and a cost per pie. Client 1
makes orders 2 pies and it costs $62. This is expressed as the ordered pair (2, 62).
a) Client 2 orders 11 pies for a total cost of $287. Express this as an ordered pair.
I
b) Find the slope between these 2 points.
c) Write a linear equation to represent this scenario where x is the number of pies
and y is the total charges
d) What is the cost per pie?
What is the delivery fee?
e) Use the equation to find out how much she would charge for 8 pies
f) How many pies would result in a total charge of $262 ?
Focus
Answer:
Step-by-step explanation:
a. (11,287)
b. 25
c. y = 25x + 12 (not sure if this is correct)
d. $25 and $12
e. $212
f. 10 pies