exponential function b^y=x can be expressed as
Answer:
[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]
FGH, m∠G= 30° and m∠H= 100°. What is the measure of ∠F?
Answer:
∠F = 50°
Step-by-step explanation:
The sum of all three angles in a triangle = 180°
∠F = 180° - 30° - 100° = 50°
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?
Answer:
2/5 or 2:5
Step-by-step explanation:
Face Card:
The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.
Spade:
1/4 of all the cards in a deck are spades, so 52/4= 13 spades.
When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.
25-3=22
22/55
when simplified: 2/5
Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x
Hey guys is this correct?.
Answer:
Step-by-step explanation:
Help!
Last week, Jonathan ran 15 less miles than Andre. Jonathan ran a total of 43 miles. Write an equation to represent how many miles Andre ran last week?
There are 45 rows of tomato plants in the hydroponics farm at O'Brien's Farms Each row has 14 plants. 2/3 of the plants have sprouted. How many sprouted plants does O'Brien's have?
Answer: 420 sprouted plants
Step-by-step explanation:
First find the total number of tomato plants in the farm.
= Number of rows * No. of plants per row
= 45 * 14
= 630 plants
2/3 of them have sprouted so the number of sprouted plants is:
= 2/3 * 630
= 420 sprouted plants
A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the other base.
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?
Answer:
(d)
Step-by-step explanation:
Given
See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]
Required
The transformations
Using B and B"" as points of reference, we have:
[tex]B = (1,4)[/tex]
[tex]B"" = (5,-1)[/tex]
The transformation is as follows:
First, reflect across y axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]B(1,4) \to B'(-1,4)[/tex]
Next, translate 6 units right.
The rule is:
[tex](x,y) \to (x + 6,y)[/tex]
So, we have:
[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]
[tex]B' (-1,4) \to B"(5,4)[/tex]
Lastly, translate 5 units down
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]B"(5,4) \to (5,4-5)[/tex]
[tex]B"(5,4) \to (5,-1)[/tex]
Hence; (d) is correct
Mhanifa please help i will mark brainliest :)
Answer:
YesStep-by-step explanation:
Given triangles:
ΔTUV and ΔXYZVerify the ratio of corresponding sides:
TU/XY = 15/35 = 3/7UV/YZ = 21/49 = 3/7TV/XZ = 18/42 = 3/7Since the ratios are same, the triangles are similar
Find x.
Do not round your answer.
12 cm
6 cm
Answer: 16.6
Step-by-step explanation:
b(a+b)= d(c+d)
6(12+6)=5(x+5)
6(18)=5x+25
108=5x=25
-25
83=5x
divided by 5
Equals 16.6
***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***
Answer:
mint
Step-by-step explanation:
be smart and help me please i can’t fail again i will give branliest
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.
Find the profit or loss if:
Cost price = $250 Selling price = $325
also state wether it’s a profit or loss
Answer:
moncy soup ñomi
Step-by-step explanation:
63=a-=
Find the factors of x3−7x−6
(x+3)(x+2)(x−1)
(x−3)(x+2)(x+1)
(x−4)(x−2)(x+1)
(x−6)(x−1)(x+1)
Answer:
B. (x−3)(x+2)(x+1)Step-by-step explanation:
Possible options are 1 or 2 as each has odd number of negative coefficients.
Open parenthesis and verify:
(x+3)(x+2)(x−1) = ³ + 4x² + x - 6, false(x−3)(x+2)(x+1) = x³ - 7x - 6, true
No Solutions
2x + 9 + 3x + x =
One Solution
2x + 9 + 3x + x =
x +
Infinitely Many Solutions
2x + 9 + 3x + x =
Answer:
.
Step-by-step explanation:
what type of question can be solved using Cramer's rule?
Answer:
check the pdf .
Step-by-step explanation:
i need help pleeeeeeeeeease
Answer:
D. 140
Step-by-step explanation:
In the equation, [tex]ax^2+bx+c=0,[/tex] the discriminant can be found with [tex]b^2-4ac[/tex].
In this equation,
the discriminant would be: [tex](-10)^2-4(2)(-5)=100+40=140[/tex]
Answer:
D. 140
Step-by-step explanation:
D = b² - 4ac
So, let's identify our values.
a = 2
b = -10
c = -5
Now, we can plug in our values.
D = -10² - 4(2)(-5)
D = 100 + 40
D = 140
You run 1 ¾ miles each day. Your friend runs 4 times as far as you do. How far does your friend run each day?
Answer:
4 multiplied by 1. 3/4
Step-by-step explanation:
4 x 7/4 _____answer 7
Can someone please help me
Answer:
11^2*pi= 121pi
Step-by-step explanation:
A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current lunch menu.
They asked parents and students to suggest new meals.
Which method of selecting new meals will produce an unbiased result?
all the suggested meals will be shuffled into one stack and every 10th suggestion will be used
Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's collection?
A- 12
B- 14
C- 120
D- 140
Answer:
672
Step-by-step explanation:
7×95=665
665+7=672
what is the approximate radius of the bowl shown that is shaped as a hemisphere
Answer:
Approximate radius of the given hemisphere is 3 in.
Step-by-step explanation:
Formula to calculate the volume of a hemisphere is given by,
V = [tex]\frac{2}{3}\pi r^{3}[/tex]
Since, volume of the given hemisphere in the picture = 56.52 in²
By substituting the value of V in the formula,
56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]
Now solve the expression for the value of 'r',
r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]
r³ = 26.99
r = ∛(26.99)
r = 3 in.
Therefore, approximate radius of the given hemisphere is 3 in.
The volume of a certain cube can be found using the expression 53.
What is 53 written as a product of the same factor?
???? pls help my math test
Answer:
5×5×5
Step-by-step explanation:
hey it's your answer
have a great day dear
Answer:
5³ = 5*5*5Step-by-step explanation:
Volume of a cube:
V = a³, a- side of the cubeIf you have an expression 5³, it means 5 is multiplied by itself 3 times:
5³ = 5*5*5 = 125Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship between the number of weeks past since purchase, t, and the current value of the stock, V?
Given:
Initial value of the stock = $100
Growth factor = 1.5 each week.
To find:
The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.
Solution:
Let V be the current value of the stock after t week.
The exponential growth model is:
[tex]V=ab^t[/tex]
Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.
Substituting [tex]a=100,b=1.5[/tex], we get
[tex]V=100(1.5)^t[/tex]
Therefore, the required equation for the given situation is [tex]V=100(1.5)^t[/tex].
HELPPP PLZZ
What is the radius of a cylinder that has a volume of 500 ft ³ and that is 10 ft tall?
Answer:
The answer is 3.98942, rounded its 3.99.
Step-by-step explanation:
Answer:
3.99 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
volume = 500 ft³
height = 10 ft
πr²h = 500
3.14×r²×10 = 500
r² = 500/3.14×10
= 15.92..
= √15.92
r = 3.9899.. ≈ 3.99 ft
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Leo and Maggie volunteer at the local bird sanctuary.
Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s battery charge is only at 20%.
When fully charged, the batteries last 12 hours. Leo thinks the walkie-talkie will last for his entire 3-hour shift
Answer:2.4
Step-by-step explanation:
12 * 20% = 12 * 0.20 = 2.4 hours
It will not last the entire shift.
Find the mean of the following numbers.
64, 82, 74, 60
Answer:
70
Step-by-step explanation:
Simple math Add the numbers and devide by the number of numbers
(64+82+74+60)/4
Answer: 70
Step-by-step explanation:
To find the mean you add the numbers up then divide by how many numbers there are so when you add them up you get 280 and then divide that by 4 which is 70. hope this helps! :')
which value of x makes this inequality true?
x + 9 < 4x
A. 3
B. 4
C. 1
D. 2
Answer:
B
Step-by-step explanation:
4 + 9 < 4(4)
13 < 16
A is =
C & D are >