The expression that is equivalent to the function [tex]y=log_7x[/tex] is [tex]x = 7^y[/tex]
Given the logarithmic function [tex]y=log_7x[/tex]
We can express this logarithm function in indices form. For instance;
If, [tex]y=log_ab[/tex], then [tex]b=a^y[/tex]
Note that the base is raised to the output and equated to the constant "b"Hence the for the expression, [tex]y=log_7x[/tex], this is also equivalent to [tex]x = 7^y[/tex]Learn more here: https://brainly.com/question/24160371
Which of the following rational functions is graphed below?
Answer:
there is no attached file
Step-by-step explanation:
X+4²=2 answer plz plz
Answer:
Step-by-step explanation:
Here you go mate
Step 1
X+4²=2 Equation
Step 2
X+4²=2 4x4
x+4^2=2
Step 3
x+4^2=2 subtract 4^2
answer
x=-14
hope this helps
An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
pls help no need for long explanations just a quick summary
Step-by-step explanation:
Angle FAB = Angle BHC = 48° (Z-angles)
By Exterior Angle Theorem,
Angle ABC = Angle BHC + Angle ECB.
=> Angle ABC = 48° + 18° = 66°.
what is the answer i need help with this
Answer:
quadratic
Step-by-step explanation:
because there is a consistent change within the change
srry it sounds confusing but trust me haha
Use a calculator to find the trigonometric value to
4 decimal places.
tan 31°
=
Answer:
Approximately 0.6009
The value of tan 31 is 0.6008606.
What is Trigonometry?
The branch of mathematics concerned with specific functions of angles and their application to calculations.
As, the angle 31° lies between 0° and 90° (First quad).
So, tangent function is positive in the first quadrant.
Tan 31 degrees= tan (0.54105 . . .) in radians.
As, using degree to radian conversion,
θ(radians) = θ in degrees × (π/180°)
31 degrees = 31° × (π/180°) rad
= 0.5410
So, tan 31°
= tan(0.5410)
= 0.6008606.
Hence, tan 31= 0.6008606.
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A faucet fills 1/3 of a water cooler in 1/12 of an hour At this rate how long does it take the faucet to fill the cooler completely
Answer:
[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]
Step-by-step explanation:
If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think
What is the solution to the system of equations?
Use the linear combination method.
{2x−3y=93x+5y=4
Answer:
fffffffffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
Answer:
(3,-1)
I took the test, it said it was right.
The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.
Answer:
The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.
If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.
Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].
Now, on solving we get,
[tex]20x\geq 3000[/tex]
[tex]\implies x\geq \frac{300}{20}[/tex]
[tex]\implies x\geq 15[/tex]
Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.
Writing an inequality function:Since
Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment
20x≥30,000
x≥15
Based on this, the above represent the inequality function.
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Answer this question plss
correct answer get's brainliest :D
Answer:
C
Step-by-step explanation:
Answer:
The answer is A :)
brainliest pls
Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
View One Minute Version
Answer:
The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)
Step-by-step explanation:
The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing
The given parameters of the scale drawing are;
The scale of the drawing is 1 cm = 2 m
The dimensions of the rectangle representing the garden in the scale drawing is given as follows;
The width of the rectangle = 2.5 cm
The length of the rectangle = 4 cm
The required location where the tree is to be planted = 7 m from A and 4 m from point C
Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C
Taking the coordinate of point A as the origin, we have;
The coordinates of point A = (0, 0)
∴ The coordinates of point C = (4, 2.5)
The general equation of a circle is (x - h)² + (y - k)² = r²
Where, (h, k) is the coordinate of the center of the circle
The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C
Therefore, for point A, we have;
(x - 0)² + (y - 0)² = 3.5²
x² + y² = 12.25...(1)
For point C, we have;
(x - 4)² + (y - 2.5)² = 2² = 4
Which gives;
x² - 8·x + 16 + y² - 5·y + 6.25 = 4
x² + y² - 8·x - 5·y + 22.25 = 4
We have x² + y² = 12.25 from equation (1), therefore, we have;
12.25 - 8·x - 5·y + 22.25 = 4
- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5
∴ 8·x + 5·y = 30.5
y = (30.5 - 8·x)/5
Therefore, we have;
x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25
Using a graphing calculator we get;
356·x² - 1952·x + 2496 = 0
Which gives;
x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)
x = 3.452197227 or 2.03094884081
To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;
Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368
or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547
y = 0.5764844368 or 2.8504818547
To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;
(3.45, 0.58) or (2.03, 2.85)
We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.
Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)
Answer:
Step-by-step explanation:
Make sure to use protractor and cross tools to get full marks
Thank you
wich fraction has the greatest value 5/8 1/6 -1/6 -5/8
pls help I'm on a timer
does anyone know the answer
(s/3) -4=2
Answer: 18
Step-by-step explanation:
Answer:
s=18
Step-by-step explanation:
Solve for s by simplifying both sides of the equation, then isolating the variable.
Brainly pls :)
Need a little help with this.
Answer:
a.) not like terms
b.) not like terms
c.) like terms ; 14 yards
Step-by-step explanation:
Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
plz help ill give brainliest if correct
Answer: The slope is 7
m =7
y + 6 = 7 ⋅ ( x + 9 )
Step-by-step explanation:
Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8
Answer:
x = 2
Step-by-step explanation:
The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )
14x = 28 ( divide both sides by 14 )
x = 2
Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?
Bags of flour come in 3 sizes:
Small bag: A 500 g bag costs 90p.
Medium bag: A 2 kg bag costs £3.40.
Large bag: A 4 kg bag costs £7.60.
Calculate the cost of 2 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.
Answer:
Ik where u got this q from but:
small bag is £3.60
large is $3.80
Step-by-step explanation:
the 500 grams x 4 to get 2kg then do 90p x 4
then
4kg divided by 2 to get 2kg as the question states, then do £7.60/2
hegarty maths anyone?
A number h added to -3 is at most 3.4
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
Please help! Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
Answer:
$715.50 my dudeeee
Step-by-step explanation:
..........
Ralph pays a total of $715.5 for the computer including the sales tax amount.
What is Percentage?Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.
Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.
Actual price of the computer = $675
Sales tax rate = 6%
Ralph has to pay the actual price and in addition the sales tax to buy the computer.
Amount of sales tax = 6% × 675
= (6/100) × 675
= 0.06 × 675
= $40.5
Ralph should add $40.5 to the actual price.
Total payment made for buying the computer = $675 + $40.5
= $715.5
Hence Ralph pays a total amount of $715.5 for the computer.
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PARABOLA GRAPH MATH PROBLEM PLEASE HELP!!
PLS HELP MEEEEEE ( I don’t need to know the first one )
Answer:
k=27
Step-by-step explanation:
Answer:
direct variation is y = kx
k is the slope of the line y = mx + b
i don't know that last one, sorry
Step-by-step explanation:
A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
If possible draw a line of best fit on the graph.
Where possible estimate the value of p on the line of best fit
where s= 10.
3.
S
2
14
14
4
12
18
12
6
5
15
р
16
6
18
12
13
7
Answer:
format is wrone
i will answer then
Step-by-step explanation:
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
 ......... you can give me solving
Which value of n makes the equation true?
1/2(n+4)=6
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6