27. Two sisters are 7 years apart in age. The product of their ages is 260 years. What is the age of the older sister.
a. 14 years
b. 21 years
C. 13 years
d. 20 years.
Which statement about these triangles is true?
Answer:
It's the last one
I hoped that helped
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1.5, 3.5)?
Answer:
y=x+5
Step-by-step explanation:
y-y1=m(x-x1)
y=-x+2
slope of y=-x+2 is -1, perpendicular slope is 1
y-3.5=1(x-(-1.5))
y-3.5=x+1.5
y=x+5
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
learn more about an angle here: https://brainly.com/question/6150811
Which expression is equivalent to 16a -18b + 20a
A.(16 + 20)a + 18b
B.(16 + 20)a - 18b
C.(16 - 20)a + 18b
D. 16a - (20a + 18b)
Compute the mean and standard deviation for the sample below, rounding each to the nearest hundredth.
13, 14, 16, 19, 21, 24, 25
The mean of the sample is
Help!
1. What is the slope of PA?
2. What is the slope of line N?
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
What is the value of n?
А. 47°
B. 85°
С. 81°
D. 38°
Answer: 81
Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract
step 1: 142-133 = 9
Step 2: 90 - 9 = 81
There that is your answer 81
Consider these functions:
f(x)= -1/2x^2 + 5x
g(x)= x^2 + 2
What is the value of f(g(-2))?
Answer:
The value of f(g(-2)) is 12.
Step-by-step explanation:
We'll start by solving g(-2):
[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]
Now we can take that value and plug it into function f:
[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]
Alternatively, you can work out a new single function that in itself describes f(g())
[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]
and try plugging -2 into the new function
[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]
The value of f(g(-2)) for the given expression will be 12.
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
And,
g(x) = x² + 2
Now,
For, x = -2,
i.e.
g(x) = x² + 2
Now,
Substituting the value of x = -2,
g(-2) = (-2)² + 2
On solving,
We get,
g(-2) = 6
Now,
For, f(g(-2)),
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
i.e.
Substituting the value of g(-2) = 6,
i.e.
f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))
i.e.
f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex] + 5 * 6
On solving,
We get,
f(g(-2)) = -18 + 30
i.e.
f(g(-2)) = 12
So, the value of f(g(-2)) for the given expression is 12.
Hence, we can say that the value of f(g(-2)) for the given expression will be 12.
To know more about expression click here
https://brainly.com/question/953809
#SPJ2
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on the data from the College Board ATP). If a sample of 15 students is selected randomly, find the probability that the sample mean is above 500. Does the central limit theorem apply for this problem?
Answer:
The value is [tex]P(X > 500 ) = 0.011942[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 430[/tex]
The standard deviation is [tex]\sigma = 120[/tex]
The sample size is n = 15
Generally the probability that the sample mean is above 500
Gnerally the standard error of mean is mathematically represented as
[tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]s = \frac{ 120 }{ \sqrt{15} }[/tex]
=> [tex]s = 30.984[/tex]
Generally the probability that the sample mean is above 500
[tex]P(X > 500 ) = P( \frac{X - \mu }{\sigma_x} > \frac{500 - 430 }{ 30.984 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
=> [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
From the z table the area under the normal curve to the right corresponding to 2.259 is
[tex]P( Z > 2.259 ) = 0.011942[/tex]
=> [tex]P(X > 500 ) = 0.011942[/tex]
A point is plotted at 30.05 on a number line. Which of these describes the
location of the point?
between 5 and 30
between 30 and 31
between 29 and 30
1)) between 31 and 35
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELPPLZ HELP
Answer:
$22,100
Step-by-step explanation:
20 x 25 = 500
10 x 18 = 180
500 + 180 = 680
680 x 32.50 = 22,100
plz give me brainliest and hope this helps
Rotate the triangle R(3,1), S(1,3), 7(4,5) 180° about the origin
Answer:
R'(-3,-1), S'(-1,-3), T'(-4,'5).
Step-by-step explanation:
Rotations
Rotating a point of coordinates M(h,k) through 180° about the origin maps it to coordinates to M'(-h, -k).
The triangle has the vertices at R(3,1), S(1,3), T(4,5). After a rotation of 180° about the origin it maps to a new triangle with coordinates:
R'(-3,-1), S'(-1,-3), T'(-4,'5).
An image of both triangles is shown below.
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
Learn more on reflection here: https://brainly.com/question/14460986
help me please .........
Answer:
D. A slope of 3/2
Step-by-step explanation:
FInd slope with the formula y2-y1/x2-x1
A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probalbility, to the nearest 1oth of a percent, that
all three marbles drawn will be green?
Answer:
I don't understand the question.
Step-by-step explanation:
Answer:
Frequency and period are distinctly different, yet related, quantities. Frequency refers to how often something happens. Period refers to the time it takes something to happen. Frequency is a rate quantity.
Step-by-step explanation:
Given the diagram below, solve for x and y
Answer:
where is the diagram?
Step-by-step explanation:
Answer:
Option A. x=30,y=42
Step-by-step explanation:
HELP NOW !!!!!!!! solve ∣x − 6∣= 2
Answer:
x=8
Step-by-step explanation:
<3
Answer:
{8,4} can you mark as brainliest
Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
eighteen individuals who use a particular form of social media were assigned a new user interface to use when logging into their accounts. after using the new user interface for a week, each individual was asked to rate how easy or hard the new user interface was to use on a scale from 1 (extremely easy) to 9 (extremely hard). which of the following correctly identifies why this is not a well designed experiment?
A. There was a lack of control because not all individuals in the study used login passwords of the same length
B. The individuals may not have been randomly selected
C. There was not enough replication because the individuals used the new user interface for only one week.
D. there was a lack of control because not all individuals in the study use social media
E. the study was not comparative- only one treatment was used.
Answer:
E: The study was not comparative—only one treatment was used.
Step-by-step explanation:
Well-designed experiments should involve comparisons of at least two treatment groups, one of which could be a control group.
A well-designed experiment investigates design features that achieve the research to rule out sources of variation as reasons for the observed relationship between both the independent variable(s) and the predictor variables.
Studies that are well should include a comparison of at least two treatments, one of which may be a controlled study.Eighteen people using a specific type of social media are given a different user interface to utilize when login onto their account. After a day of just using the new user interface, each participant was asked to rate as difficult or easy it was to use the new interface on a scale of 1 to 9.The study was not properly comparative since it identified just one treatment that was not used as the well-designed study.Therefore, the final answer is "Option E".
Learn more:
brainly.com/question/11496679
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ｡◕‿‿◕｡)づ
Hope it helps
what is 7/9 - 1/3 simplified
Answer:
4/9 is the answer
Step-by-step explanation:
you're welcome
please help ! select all that apply.
Answer:
All expect the first one
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Which sum or difference is modeled by the algebra tiles
Answer:
i believe the answer that you picked is right ....i think ^^
Express the recurring decimal 0.142 as a fraction in its simplest form
Answer:
[tex]\frac{47}{330}[/tex]
Step-by-step explanation:
We require to create 2 equations with the recurring part (42) placed after the decimal point.
let x = 0.14242 ( multiply both sides by 10 and 1000 )
10x = 1.4242... → (1)
1000x = 142.4242... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
990x = 141 ( divide both sides by 990 )
x = [tex]\frac{141}{990}[/tex] = [tex]\frac{47}{330}[/tex]
The fractional form of the recurring decimal 0.142 is 47/330.
What is a recurring decimal?A number whose digits are periodic and the indefinitely repeated component is not zero is represented as a repeating decimal or recurring decimal. If and only if a number's decimal representation repeats or terminates, it is possible to demonstrate that the number is rational.
Given, A recurring decimal 0.142 where 4 and 2 are repeating.
In the denominator, we'll write as many 9's as there are recurring digits after the decimal and after as many zeros as there are digits after the decimal which are not repeating, and in the numerator, we'll subtract the nonrecurring digits from the total digits after the decimal.
Therefore, 0.142 where 4 and 2 are repeating can be written in fraction form as,
(142 - 1)/990.
= 141/990.
= 47/330.
learn more about recurring decimal numbers here :
https://brainly.com/question/820308
#SPJ2
qustion to give kagimatoby a brainly
Answer:
wdym
Step-by-step explanation:
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3. Determine the mass of the solid.
Answer:
30
Step-by-step explanation:
The mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
It is given that:
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
As we know, from the definition of density:the mass-to-volume ratio
Density = mass/volume
mass = densityxvolume
mass =20x30
mass = 600 grams
Thus, the mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
Learn more about the density here:
brainly.com/question/952755
#SPJ2
