Answer:
Step-by-step explanation:
Formula
a = 9 / (f - 7)
Note
If you are going to try and isolate f, you must take the 7 with it, assuming that getting f to the left hand side will the your first step. It will be mine.
Solution
a = 9 / (f - 7) Multiply both sides by (f - 7) leave the brackets around (f - 7)
a(f - 7) = 9(f - 7)/(f - 7) Combine
a(f - 7) = 9 Remove the brackets
fa - 7a = 9 Add 63 to both sides
fa - 7a + 7a = 9 + 7a Combine
fa = 9 + 7a Divide by a
fa/a = (9 + 7a)/a Simplify
f = (9 + 7a)/a
Answer
f = (9 + 7a)/a
[tex]3x^{2} +8x- 10[/tex]
Answer:
07698+96965#5_(-&)!:86539'6";
The solution to the given expression will be [tex]\dfrac{-8\pm\sqrt{180}}{6}[/tex].
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
The given equation will be solved as:-
= 3x² + 8x - 10
Using the formula of factors:-
x = [tex]\dfrac{-b\pm\sqrt{b^-4ac}}{2a}[/tex]
x = [tex]\dfrac{-8\pm\sqrt{64-(-120)}}{2\times 3}[/tex]
x = [tex]\dfrac{-8\pm\sqrt{180}}{6}[/tex].
Therefore the solution to the given expression will be [tex]\dfrac{-8\pm\sqrt{180}}{6}[/tex].
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What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
x=135°
Step-by-step explanation:
WZ is 180 degrees. Simply subtract 48 from 180.
180-45=135.
Hope this helps!
If not, I am sorry.
Answer:
The answer is 132
Step-by-step explanation:
For khan academy
The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?
Answer:
b = 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here ( h, k ) = (2, 5 ) , then
y = a(x - 2)² + 5
to find a substitute any point on the parabola into the equation
using (0, 1 ) then
1 = a(0 - 2)² + 5 ( subtract 5 from both sides )
- 4= a(- 2)²= 4a ( divide both sides by 4 )
- 1 = a
then
y = - ( x - 2)² + 5
= - (x² - 4x + 4) + 5
= - x² + 4x - 4 + 5
= - x² + 4x + 1 ← in the form ax² + bx + c
with b = 4
1) Which statement is needed to fill in the blank in this syllogism? If two lines are parallel, then ____________________. If the lines never intersect, then the lines have the same slope. Therefore, if two lines are parallel, then the lines have the same slope.
A) the lines have the same slope
B) the lines never intersect
C) the lines have the same equation
D) the lines are continuous
Answer:
B) the lines never intersect
Step-by-step explanation:
okay essentially, syllogism is formatted in a repetitive way
it's something like:
if "a" are "b"
and "b" are "c"
then "a" are "c"
(a = b
b = c
logically, c = a)
(idea, thing related to idea, conclusion relating the two)
hope this helps!!
Answer:
the lines never intersect
Step-by-step explanation:
Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.
HELP NOW PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASE
Answer:
-3/2
Step-by-step explanation:
First, you divide by taking the reciprocal of -2/5 which is -5/2.
Second, you get the answer which is -5/4.
Add that with -1/4 and you will get -6/4.
Simplify to get the answer which is -3/2.
Answer:
[tex]-\dfrac{3}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{\dfrac{1}{2}}{-\dfrac{2}{5}}+\left(-\dfrac{1}{4}\right)[/tex]
To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:
[tex]\implies \dfrac{1}{2} \times -\dfrac{5}{2}+\left(-\dfrac{1}{4}\right)[/tex]
To multiply the fractions, multiply the numerators and multiply the denominators:
[tex]\implies \dfrac{1 \times (-5)}{2 \times 2} +\left(-\dfrac{1}{4}\right)[/tex]
[tex]\implies -\dfrac{5}{4} +\left(-\dfrac{1}{4}\right)[/tex]
Apply the rule -a + (-b) = -a - b :
[tex]\implies -\dfrac{5}{4} -\dfrac{1}{4}[/tex]
As the denominators are the same, subtract the numerators and put the answer over the same denominator:
[tex]\implies \dfrac{-5-1}{4}[/tex]
[tex]\implies -\dfrac{6}{4}[/tex]
Simplify by dividing the numerator and denominator by the highest common factor:
[tex]\implies -\dfrac{6 \div 2}{4 \div 2}[/tex]
[tex]\implies -\dfrac{3}{2}[/tex]
Find x.
x + 30
3x-30
Taylor walks 7 miles in 2 hours. At what unit rate does Taylor walk?
O A.
OB.
O C.
O D.
2 miles
7 hours
7/2 miles
1 hour
7 miles
2 hours.
2 hours
7 miles
SUBMIT
Answer:
B. 7/2 miles per 1 hour
Step-by-step explanation:
The unit rate in this case ,means ,
the number of miles for every 1 hour
Since Taylor walks 7 miles in 2 hours
Then
He walks 7/2 miles in 1 hour
Thus
The unit rate that Taylor walks at is :
7/2 miles per 1 hour
In 1990, the average monthly bill for cellular telephone service was $80.90. From 1990-1997, the monthly bill decreased by 8.6% per year (in other words, each year the bill is 91.4% of
what is was the previous year (Source: Statistical Abstract of the United States).
Part a: Write a formula for the average monthly cellular telephone bill in terms of the year. Let n = 1 represent 1990.
Part b: What was the average monthly bill in 1993
A)The formula for the average monthly cellular telephone bill in terms of the year will be A = 80.90(0.914)ⁿ⁻¹
B)The average monthly bill in 1993 willl be $ 61.77
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The formula for the average monthly cellular telephone bill in terms of the year willl be,
A=P(R/100)ⁿ
A = 80.90(0.914)ⁿ⁻¹
The average monthly bill in 1993 is found as ;
n=4 for 1993
A=P(R/100)ⁿ
A = 80.90(0.914)³⁻¹
A=$ 61.77
Hence the formula for the average monthly cellular telephone bill in terms of the year will be A = 80.90(0.914)ⁿ⁻¹ and the average monthly bill in 1993 willl be $ 61.77.
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PLEASE HELP GEOMOTRY"the ratio of the angles of a pentagon is 1:2:2:3:4 find the largest angle"
The largest angle of the pentagon with the given ratio of angles is: 180°.
What is a Pentagon?A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.
If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:
4/(1+2+2+3+4) × 540
4/12 × 540 = 180°
The largest angle is: 180°.
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Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.
Finding the constant of proportionality :
y = kx²160 = k(4)²k = 10Finding y when x = 6 :
y = 10(6)²y = 10(36)y = 360The value of y is 360 when x = 6.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
Domain and range of a functionThe domain is the independent value for which a function exists.
Given the function below;
f(x) = 3x^3
If the domain of the function is {2, 5}, the range are;
If x = 2
f(2) = 3(2)^3
f(2) = 3(8)
f(2) = 24
If x = 5
f(5) = 3(5)^3
f(5) = 3(125)
f(5) = 375
Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
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If f(x) = √2x, then f'(8) =
Answer:
√2
Step-by-step explanation:
Comment
You have differentiated the given equation. When you do that the x becomes 1. F'(x) is going to be √2 no matter what x is.
Proving Triangle Similarity
helpppppppppppppppp edge 2022
30 reward thing
edit: nvm i got it
The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a given two triangles as shown in the picture.
As we have given QR ⊥ PT
And
Angle QPR ≅ Angle STR (given)
From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.
Angle QRP ≅ Angle SRT
By angle-angle or AA
Triangle PQR is similar to Triangle TSR
Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .
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Paolo and Monika are both travelling by train.
Paolo's train travels 70 km in 35 minutes.
Monika's train travels 684 km.
It leaves at 16:15 and arrives at 20:45.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
32 km/hr
Step-by-step explanation:
Firstly, you need to find the speed of both trains in km/hr.
Paolo's train= (70km x 60hr)/35= 120 km/hr
Monika's train= 684km/4.5hr= 152 km/hr
Then find the difference in speed:
152-120=32 km/hr
Loss = 10% VAT=13% SP WITH VAT=25,425 now calculate CP
The cost price of the product will be 25000.
How to calculate the price?From the information given, the cost price is 25000. The loss is 10%. This will be:
= 25000 - (10% × 25000)
= 25000 - 2500
= 22500
The tax is 13%. This will be:
= 22500 + (13% × 22500)
= 22500 + 2925
= 25425
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Given the function f(x) = −5x2 − x + 20, find f(3).
Answer:
123icuxxiffatjtjfug8utkxi93hkgodo c office c 8f
Does anyone know the answer
Answer: two units to the left, four units down and reflected across the y axis
9.25(18.4-2.1.2)
Please hurry I need to Finnish 2 more pages today
Step-by-step explanation:
9.25( 18.4 - 2.12)
9 × 25 ( 18×4 - 2× 1.2) (multiply)
9.25 ( 72 - 2.4) ( calculate)
9×25×69.5 (calculate)
(answer) 1566
Find the equation of the line through point (−5,5) and perpendicular to y=59x−4
Answer:
Step-by-step explanation:
Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has
$658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m
years, Makayla has $613.04. What is the in approximate difference in the number of years that Calvin and Makayla have
their money invested?
O Makayla invests her money 1 year longer.
O Makayla invests her money 2 years longer.
O Calvin invests his money 1 year longer.
O Calvin invests his money 2 years longer.
Answer:
Dot number 2. Makayla invests her money 2 years longer.
Step-by-step explanation:
Calvin 400$ with 5% interest compounded monthly will get you to 666.0294029241$ after 13 months or 1 year and 1 month
Makayla 300$ with 6% interest quarterly
1st year 378.743088$(4 quarters)
2nd year 478.1544223592$(+4 quarters)
3rd year 603.6589415506$(+4 quarters)
3rd year and 1 quarter 639.8784780436$
Answer:
So the second option is the answer: Makayla invests her money 2 years longer.
Step-by-step explanation:
Formula for compound interest: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Calvin:
[tex]A=658.80[/tex]
[tex]P=400[/tex]
[tex]r=0.05[/tex]
[tex]n=12[/tex]
[tex]t=?[/tex]
Makayla:
[tex]A=613.04[/tex]
[tex]P=300[/tex]
[tex]r=0.06[/tex]
[tex]n=4[/tex]
[tex]t=?[/tex]
Lets solve for [tex]t[/tex].
1) Divide both sides of the equation by [tex]P[/tex].
[tex]\frac{A}{P} =(1+\frac{r}{n})^{nt}[/tex]
2) Take the natural log of both sides.
[tex]ln(\frac{A}{P}) =ln((1+\frac{r}{n})^{nt})[/tex]
3) Rewrite the right side of the equation using properties of exponents.
[tex]ln(\frac{A}{P}) =nt*ln(1+\frac{r}{n})[/tex]
4) Divide each side of the equation by [tex]n*ln(1+\frac{r}{n})[/tex]
[tex]\frac{nt*ln(1+\frac{r}n)}{n*ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}[/tex]
5) Cancel the common factor [tex]n[/tex] on the left side of the equation.
[tex]\frac{t*ln(1+\frac{r}n)}{ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}[/tex]
6) Cancel the common factor of [tex]ln(1+\frac{r}{n})[/tex].
[tex]t=\frac{ln(\frac{A}{P)}}{n*ln(1+\frac{r}{n})}[/tex]
Now we have an equation for [tex]t[/tex] that we can use to answer your question.
For Calvin:
[tex]t=\frac{ln(\frac{658.80}{400)}}{12*ln(1+\frac{0.05}{12})}[/tex]
[tex]t=10[/tex]
For Makayla:
[tex]t=\frac{ln(\frac{613.04}{300)}}{3*ln(1+\frac{0.06}{3})}[/tex]
[tex]t=12[/tex]
So the second option is the answer: Makayla invests her money 2 years longer.
Note: This question took me 2 minutes to answer but typing it took 30. lol
A circle inside of a square. The square has side lengths of 5 meters.
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
Answer:
the area is 25/4 π
Step-by-step explanation:
diameter is 5 m
area will be 25/4π
Answer:
17.9 m²
Step-by-step explanation:
The area of the deck is the difference between the area of the square and the area of the circular hot tub.
__
square areaThe area of the square is given by the formula ...
A = s² . . . . where s is the side length
For a side length of 5 m, the area is ...
A = (5 m)² = 25 m²
circle areaThe area of a circle is found from the formula ...
A = (π/4)d² . . . . where d is the diameter
For a diameter of 3 m, the area is ...
A = (π/4)(3 m)² = 9/4π m² ≈ 7.069 m²
deck areaThe area of the deck is the difference between the square area and the circle area:
deck area = 25 m² -7.069 m² ≈ 17.9 m²
The area of the deck surrounding the hot tub is about 17.9 m².
(X-5)\(3x^2-14x-5) solve by polynomial long division
Answer: 3x+1
Step-by-step explanation: See attachment
What are the roots of the polynomial equation x cubed minus 5 x 5 = 2 x squared minus 5? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth.
The solution to the equation of the polynomial function x³-5x+5 = 2x²-5 is (c) –2.24, 2, 2.24.
What is Polynomial Equation?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, The function is given as:
x³-5x+5 = 2x²-5
Split the function.
So, we have:
y = x³-5x+5
y = 2x²-5
Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be
x = –2.24, 2, 2.24
Hence, the solution to the equation is (c) –2.24, 2, 2.24
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The point (0, 0) is a solution to which of these inequalities?
O Ay+7<2x - 6
OB. y-7<2x-6
OC. y-6<2x-7
OD. y+7<2x+6
The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
The point (0, 0) is a solution to which of these inequalities are satisfied.
A. y+7<2x - 6
7 < -6
So, it is incorrect.
B. y-7<2x-6
-7 < -6
So, it is correct.
C. y-6<2x-7
-6 < -7
So, it is incorrect.
D. y+7<2x+6
7 < 6
So, it is incorrect.
Hence, option B is the only correct answer.
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25.
A ladder stands against a wall at an angle of 45° to the floor. The foot of the ladder is 3 m
from the wall. If the ladder slides 1 m down the wall, then the angle between the ladder
and the floor is such that:
Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The angle is of 45º.The vertical distance is the height of h.The horizontal distance is of 3m.Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:
[tex]\tan{\theta} = \frac{2}{3}[/tex]
[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]
[tex]\theta = 33.69^\circ[/tex]
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50 POINTS AND BRAINLIEST!! PLEASE GIVE AN EXPLANATION. If ray VA-VF-VB and the measure of angle AVF = 32 and the measure of angle FVB = 2x + 9 and the measure of angle AVB = 3x - 4, then find the measure of angle AVB.
The measure of angle AVB = 131 degree .
What is a Ray ?A line with a starting point but extends upto infinity in one direction.
It is given that
Measure of angle AVF = 32
the measure of angle FVB = 2x + 9
the measure of angle AVB = 3x - 4
The angle AVB = AVF + FVB
this can be written as
3x- 4 = 2x+9 +32
x = 32+9+4
x = 45 degree
Therefore the measure of AVB = 3*45-4 = 131 degree
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when you purchase a new car, what kind of tax will you usually pay
Answer:
Whether you're buying a new car or a used car, or even leasing a car, you'll have to pay state sales tax. Nearly every state has a sales tax, ranging from under 3 percent to over 8 percent. The national average in the United States is 5.75 percent.
Please mark brainlest!
A girl get n cedis pocket money each week. she saves her money for five weeks and buys a present for her mother which costs ghc7900.00.
i) write an expression for the amount of money left.
ii) what is the minimum amount she needs to save each week to be able to afford the gift
Answer:
1) n = 5n - 7900
2) 1580
Step-by-step explanation:
first one you just set up an equation and second one you set up a different equation and solve for N ( I divided n by 5 to get the answer)
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect? OA. Incenter OB. Centroid OC. Circumcenter D. Orthocenter
Answer: Circumcenter (choice C)
Explanation:
The circumcenter is useful to form a circle that passes through all three points of a triangle. It is the smallest circle possible that doesn't go inside the triangle.
The incenter is formed by intersecting at least two angle bisectors, which means we can rule out choice A. The centroid is the result of intersecting two or more medians, which allows us to cross off choice B. Choice D is out because the orthocenter is the intersection of the altitudes.
Answer:
C. Circumcenter
Step-by-step explanation:
Hope this helps.
the sum of the 10th and 11th terms of an arithmetic sequence is 65 what is the sum of its first 20th terms
Answer:
this is the answer
Step-by-step explanation:
a 65
b 650
c 52
d 3