[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]
help me please i'll mark as brainliest asap
Answer:
a. A(x) = 3x² - 8x + 5
b. x = ⁸/₃
Step-by-step explanation:
a.
A(x) = shaded area
A(x) = (2x - 3)² - (x - 2)²
= 4x² - 12x + 9 - (x² - 4x + 4)
= 4x² - x² - 12x + 4x + 9 - 4
= 3x² - 8x + 5
b.
ΔABF area = ⁵/₄ cm²
A(x) = 4(⁵/₄)
= 5
Substitution:
3x² - 8x + 5 = A(x) = 5
3x² - 8x + 5 = 5
3x² - 8x = 0
x(3x - 8) = 0
3x - 8 = 0
x = ⁸/₃
x = 0
Since x > 2, x = 0 is not valid;
So, x = ⁸/₃
The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?
A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle
Answer:
D: A rectangle and an isosceles triangle
Step-by-step explanation:
A recangle for the base of the arrow, and an isosceles triangle to form the full arrow.
The answer will be option D which is a rectangle and an isosceles triangle.
What is an isosceles triangle?The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.
As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.
Thus the answer will be option D which is a rectangle and an isosceles triangle.
To know more about the isosceles triangle follow
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#SPJ2
What is 5x + 12 < 2 ?
Answer:
x < -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5x + 12 < 2
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10[Division Property of Equality] Divide 5 on both sides: x < -2Answer:
x < - 2
Step-by-step explanation:
5x + 12 < 2 ( subtract 12 from both sides )
5x < - 10 ( divide both sides by 5 )
x < - 2
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges.
Private colleges: 52.8, 43.2, 45.0, 33.3, 44.0, 30.6, 45.8, 37.8, 50.5, 42.0.
Public colleges: 20.3, 22.0, 28.2, 15.6, 24.1, 28.5, 22.8, 25.8, 18.5, 25.6, 14.4, 21.8.
Required:
a. Based on your computation of the two sample means and the two sample standard deviations, find the degrees of freedom.
b. What is the point estimate of the difference between the two population means?
c. Develop a 95% confidence interval of the difference between the annual cost of attending private and pubic colleges.
Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.
How much will she have in the account after 3 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$1,251
Step-by-step explanation:
Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Plug the values into the formula; solve:
[tex]r = \frac{r}{100}[/tex]
[tex]r = \frac{1.4}{100}[/tex]
[tex]r = 0.014[/tex]
0.014 rate per year
[tex]A = Pe^{rt}[/tex]
[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]
[tex]A = $1,251.47\\[/tex]
1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.
Answer:
1251
Step-by-step explanation:
Elements that do not belong to a set belong to its
Answer:
What do you mean for this question?
Step-by-step explanation:
Give specific details
For what value(s) of k is + 3 a factor of 3 + 5 2 + − 9
FAST FASTTTT
Answer:
56
Step-by-step explanation:
This morning, Raina's car had 23.21 gallons of fuel. Now, 1.5 gallons are left. How much fuel did Raina use?
Which choice is equivalent to the product below?
V8,5
O A. 4/10
O B. 10-12
C. 13
O D. 22/10
Answer:
Option D
2√10
Step-by-step explanation:
√8 • √5 = √8 × 5 = √40 = 2√10
Thus, √8 • √5 = 2√10
-TheUnknownScientist 72
Genes are sections of DNA that code for a particular trait. Genes are?
Answer:
Genes are DNA transferred to off spring by parents
Answer:
Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.
Step-by-step explanation:
what is the value of x
Answer:
x = 32
Step-by-step explanation:
this is an equilateral triangle where all sides measure the same value; therefore, 2x-4 = 5y
since we are solving for 'x' we can set up this equation:
3(2x-4) = 180
6x - 12 = 180
6x = 192
x = 32
4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that each
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
TS
b. The oldest leatherback sea turtle in captivity is 33 years old.
c. American bison are never over 6 feet tall.
Answer:
Step-by-step explanation:
1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes
2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older
3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.
I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!
3.8×102+1.7×103 giving answer in standard form
Answer: 5.15 x 10^2
Step-by-step explanation:
3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2
Please help derivitive
Please dont comment if you dont know …
[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]
a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate
Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07
Answer:
8.56%Step-by-step explanation:
Find the difference between the actual and estimate, this is the error:
710 - 654 = 56Find the percent error, which is the error over the actual:
56/654*100% = 8.56%find the following right triangle, find the side length x
Answer:
x=41
Step-by-step explanation:
9²+40²=x²
81+1600=x²
1681=x²
√1681=√x²
41=x
Solve for X
show your work
Answer:
alternate exterior angles are equal .
17x + 2 = 18x - 2
x = 2 + 2
x = 4
Step-by-step explanation:
There are 8 triangles and 6 circles. What is the simplest ratio of total circles to total shapes
Ratio of total circles to total shapes is 4 : 7
An equation is an expression that shows the relationship between two or more variables and numbers.
There are 8 triangles and 6 circles. The ratio of total circles to total shapes is given by:
Ratio of total circles to total shapes = 8 circles : (8 + 6) shapes
Ratio of total circles to total shapes = 8 : 14 = 4 : 7
Find out more about equation at: https://brainly.com/question/2972832
what is the equation for: 32 is the sum of a number x and 9
Answer:
x + 9 = 32
Step-by-step explanation:
answer for x is 32 - 9 = 23
A book club charges an initial joining fee of $30.00. The cost per book is $7.00. The graph shows the cost of belonging to the club as a function of books purchased. How will the graph change if the cost per book goes up by $1.50? (The new function is shown by the dotted line.)
Answer:
$82.50
Step-by-step explanation:
You add seven dollars to $1.50 and you would get the sum of 8.50 then you multiply the amount of books purchased. The Equation is 5($8.50) + $30.00= 82.50
Sorry if I get this wrong.
The vertice of triangle ABC are A(8,4), B(6,3) and C(5-5). Find the angle between the side AB and BC.
Answer:
Step-by-step explanation:
Use law of cosines
c² = a² + b² - 2abcosθ
cosθ = (c² - a² - b²) / -2ab
c = length of AC = √(8 - 5)² + (4 - (-5))² = √90
b = length of AB = √(8 - 6)² + (4 - 3)² = √5
a = length of BC = √(6 - 5)² + (3 - (-5))² = √65
cosθ = (√90² - √65² - √5²) / -2√65√5
cosθ = 20 / -36.05551...
cosθ = - 0.5547001
θ = 123.69°
the title block in a working drawing indicates that the scale is a ratio of 1 and 5. This means that the real measurement of the machine is five times the what?
A scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.
The title block on a working drawing shows some important details that may be relevant in reading the drawing. One of such important details is the scale of the drawing.
The scale tells us how the size of the drawing relates to the actual size in the real world. Hence, a scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.
Learn more about scale drawing: https://brainly.com/question/147532
4e-4=e-4
help me plsssssssssssssssssssssss
Answer:
E= 0 Good luck answering the other questions :)
Step-by-step explanation:
What is the equation for the parabola with a focus F(13/11,0)?
Answer:
B.ON THE EDGE
Step-by-step explanation:
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
f(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?
==================================================
Work Shown:
h(x) = 7x-5
h(2) = 7(2)-5
h(2) = 14-5
h(2) = 9
f(h(2)) = f(9)
f(x) = x^2-7
f(9) = 9^2-7
f(9) = 81-7
f(9) = 74
f(h(2)) = 74
-----------
Here's a slightly alternative approach:
f(x) = x^2 - 7
f(h(x)) = ( h(x) )^2 - 7
f(h(x)) = ( 7x-5 )^2 - 7
f(h(2)) = ( 7*2-5 )^2 - 7
f(h(2)) = ( 14-5 )^2 - 7
f(h(2)) = ( 9 )^2 - 7
f(h(2)) = 81 - 7
f(h(2)) = 74
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
x=7.85
Step-by-step explanation:
Give the triangles we know that:
[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]
Now we can substitute like usual
[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]
Now we simplify the fraction in the middle
the middles fraction will =13/6
Therefore:
[tex] \frac{78}{fh} = \frac{13}{6} [/tex]
so 13fh=468
Therefore: fh=36
Now we can use the Pythagorean theorem
so
[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]
so gf=18√5
so 5x+1=18√5
so 5x=-1+18√5
so x=7.85
(I'm not too sure about this one tho)
3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?
4. Reasoning Suppose △ABC ∼△TUV. Determine whether each pair of measures is equal.
a. the measures of ∠A and ∠T
b. the perimeters of the two triangles
c. the ratios of the sides BC/UV and AC/TV
5. Reasoning e scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.
Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
(3) Corresponding sides of △MNP and △RST
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
MN and RSMP and RTNP and ST(4) The equal measures
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
(a). the measures of ∠A and ∠T (c). the ratios of the sides BC/UV and AC/TVThe unequal measure is:
(b). the perimeters of the two triangles(c) Scale mapping
The scale mapping is given as:
[tex]Ratio = 1\ in : 100\ mi[/tex]
The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
Read more about similar triangles at:
https://brainly.com/question/14285697
The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?
Answer:
$7.56
Step-by-step explanation:
7% = 0.07
108.00 x 7% = $7.56
5. 4
Which input value produces the same output value for
the two functions on the graph?
(
*)
3
NO
O x= -1
O x = 0
O x= 1
O x= 2
-5 -3 -2 -
4
х
91x)
Answer:
x=1......................