What is the area of the parallelogram?
3
2
Please help me with this problem!!
If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k
Answer:
k = 0.5
Step-by-step explanation:
Given a varies directly with x² then the equation relating them is
a = kx² ( k is the constant of variation )
To find k use the condition a = 8 when x = 4 , then
8 = k × 4² = 16k ( divide both sides by 16 )
0.5 = k
Three friends are sharing 4 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer:
3/4 of a cup or .75 of a cup
Step-by-step explanation:
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
The first answer is 31.5.
The second is 21.
Step-by-step explanation:
help fast pls .. Find the equation for g(x) by substituting the known point (1, 4) and solving for k.
Answer:
6=k×2
k=3
g(x)=k f(x)
g(x)=3 |x|
Find the 65th term of the arithmetic sequence -30, -41, -52
Answer:
a₆₅ = - 734Step-by-step explanation:
The n-th term of arithmetic sequence: [tex]a_n = a_1+d(n-1)[/tex]
a₁ = -30
a₂ = -41
a₃ = -52
-41 - (-30) = -11 and -52 - (-41) = -11
It means d = -11
Therefore:
[tex]a_{65}=-30+(-11)(65-1)=-30-11\times64=-734[/tex]
A parabola has a vertex (-3, -2) and contains the point (-5, 6). Write the equation for this parabola in vertex form.
Answer:
[tex]y = 2(x +3)^2 -2[/tex]
Step-by-step explanation:
Given
[tex](h,k) = (-3,-2)[/tex] --- vertex
[tex](x,y) = (-5,6)[/tex] --- point
Required
Determine the equation
The general form is:
[tex]y = a(x - h)^2 + k[/tex]
First, we solve for a:
Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]
[tex]6 = a(-5 - (-3))^2 - 2[/tex]
[tex]6 = a(-2)^2 - 2[/tex]
[tex]6 = 4a - 2[/tex]
Solve for a
[tex]4a = 6 + 2[/tex]
[tex]4a = 8[/tex]
[tex]a = 2[/tex]
So:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = 2(x - (-3))^2 -2[/tex]
[tex]y = 2(x +3)^2 -2[/tex]
6. Rewrite each of the following expressions without roots by using fractional exponents.
Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!
Answer:
A. x¹/²
B. x¹/³
C. x¹/⁷
D. x⁵/²
E. x¹¹/³
F. 1 / x¹/⁴
G. 1 / x²/³
H. 1 / x⁹/²
Step-by-step explanation:
A. √x
Recall
√M = M¹/²
Therefore,
√x = x¹/²
B. ³√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
³√x = x¹/³
C. ⁷√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
⁷√x = x¹/⁷
D. √x⁵
Recall
√Mⁿ = Mⁿ/²
Therefore,
√x⁵ = x⁵/²
E. ³√x¹¹
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
³√x¹¹ = x¹¹/³
F. 1 / ⁴√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
1 / ⁴√x = 1 / x¹/⁴
G. 1 / ³√x²
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
1 / ³√x² = 1 / x²/³
H. 1 / √x⁹
Recall
√Mⁿ = Mⁿ/²
Therefore,
1 / √x⁹ = 1 / x⁹/²
UNIT TEST:
TVAH: GeometryB Unit 4 Test
The perimeter of the base of a right square pyramid is 32 cm. The height of the
pyramid is 8 cm.
What is the volume of the pyramid?
O 256 cm
O 170.67 cm
o 85.33 cm
O 512 cm
2 3
4
5
6
7
Next
8 9 10 11
o
9
Answer:
170.67 cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3s²h
We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...
V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³
Answer:
170.67 cm^3
Step-by-step explanation:
took the test
Use the graph of the function f(x) = (x + 1)² + 2. Identify the vertex and
the axis of symmetry.
What does x equal to?
Answer:
x = 25°
Step-by-step explanation:
the angle adjacent to the 130 angle is 50 degrees
x = 180-(105+50)
x = 180-155
x = 25
A box of chocolates has 5 creme filled, 8 peanut butter filled, and 7 caramel filled chocolates. What is the probability, expressed as a
percent of randomly selecting a creme filled chocolate?
A) 5%
B) 15%
C) 20%
D) 25%
Answer:
25%
Step-by-step explanation:
Step 1: Add all the possible choices up
8 + 5 + 7 = 20
Step 2: Note that your finding the probability for creme filled ones
Step 3: Make it a fraction
5 creme filles ones out of 20
5/20
Step 4: Simplify
1/4
Step 5: Convert into a decimal (if you don't already know it)
1 ÷ 4 =
.25
Step 6: Multiply by 100 to find percentage
.25 × 100 = 25%
Amanda, Boris, and Jose sent a total of 124 text messages during the weekend. Amanda sent 8 fewer messages than Jose
Boris sent 4 times as many messages as Jose. How many messages did they each send?
Answer:
Amanda= 14
Boris = 88
Jose= 22
Step-by-step explanation:
Amanda= jose-8
Boris = 4×jose
Jose= Jose
total all = 124
(jose-8)+(jose×4)+(jose)= 124
so we substitute jose with X .
(X-8)+(4X)+(X)=124
6X-8= 124.
6X=124+8
X=132/6
X= 22.
so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.
solving by elimination
2x+8y=6
5x+20y=15
Answer:
Solve for x in the first equation.
Subtract 8 y from both sides of the equation.
2 x = 6 − 8 y
5 x + 20 y = 15
Divide each term by 2 and simplify.
Divide each term in
2 x /2 = 6/2 − 8 y/2
5 x + 20 y = 15
Cancel the common factor of 2 .
Cancel the common factor.
2 x /2 = 6 /2 + (− 8 y)/ 2
Step-by-step explanation:
I don't have room to put the rest. So go to math-way
Number 1 help please
Answer:
D
Step-by-step explanation:
the figure is in the origin therefore no reflection will affect the shape
Finde
3 rational number
7 and 8
Answer:
7/1; 4/2=2;8/1
7 is rational number because 7/1 = 7
8 = 4 x 2 = 4/1 x 2/1 and both rational.
Step-by-step explanation:
Multiply by any number/ same with both
7/1×6=42/6
8/1×6=48/6
So,
43/6,44/6,45/6 Answer
hope it helps
please help me if you do not know do not answerr
Answer:
Quadratic
Step-by-step explanation:
Example of linear is 2x + 3
Example of quadratic is x² + 2x + 3
Example of cubic is x³ + 2x² + 3x + 4
Example of quartic is x⁴ + 2x³ + 3x² + 4x + 5
Find the area and perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations). The figures below are based on semicircles or quarter circles.
*I found the area but I can't seem to find the perimeter
Answer:
[tex] A=(8 \pi +40) cm^2 [/tex]
[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]
Step-by-step explanation:
For semicircle:
Diameter = 8 cm
Radius (r) = 8/2 = 4 cm
For triangle:
Base (b) = 8 cm
Height (h) = 10 cm
Area of the shaded region
[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]
[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]
[tex] A=(8 \pi +40) cm^2 [/tex]
By Pythagoras Theorem:
[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]
[tex] AC = BC = \sqrt {16 +100}[/tex]
[tex] AC = BC = \sqrt {116}[/tex]
[tex] AC = BC =2\sqrt {29}[/tex]
[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]
[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]
[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]
Hey! Please answer this fast, it’s due soon. It’s fractions
Answer:
3/12 - 8/12= 5/12
10/12 - 5/12= 5/12
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? 2 cm, 8 cm, 8 cm B. 2 cm, 3 cm, 6cm C. 4cm, 5 cm, 7 cm . D. S cm. 6 cm. 9 cm
Answer:
A
Step-by-step explanation:
Because the lengths are way off for A.
2cm, 8cm, 8cm
Find the second base of a trapezoid with an area of 96 inches, a height of 8 inches, and a 1st base measuring 11 inches.
Answer:
13
Step-by-step explanation:
11+x=y
yx8=z
z/2=96
96x2=192
192/8=24
24-11=13
x=13
what is the mass of 20 buckets
What are the domain and
range
of an exponential parent function?
A. The domain is positive real numbers (x > 0), and the range is all
real numbers.
B. The domain is all real numbers, and the range is nonnegative real
numbers (y≥ 0).
C. The domain is nonnegative real numbers (x≥ 0), and the range is
all real numbers.
D. The domain is all real numbers, and the range is positive real
numbers (y > 0).
Answer: it’s D
Step-by-step explanation:
The domain and the range of an exponential parent function mean that the domain is all real numbers and the range signifies positive real numbers y > 0.
What is an exponential parent function?The simplest parent function of an exponential function takes the form:
[tex]\mathbf{f(x) = p^x}[/tex], where p refers to the base.
So, if we have a number such that x = 3 and the base is 2
f(3) = 2³f(3) = 6Therefore, we can conclude that the domain of an exponential parent function is all real numbers, and the range is positive real numbers (y > 0).
Learn more about exponential functions here;
https://brainly.com/question/2456547
#SPJ5
The probability that is will rain today is 65%, and the probability that it will rain tomorrow is 25%.
The probability that it will rain both days is 35%.
What is the probability that is will rain today or tomorrow?
Answer:
65%
Step-by-step explanation:
Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me
Answer:
x = 26.5
y = 12.0
z = 13.4
Step-by-step explanation:
✔️To find x, apply the leg rule, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 30
Leg = x
Part = 30 - 6 = 24
Plug in the values into the equation
30/x = x/24
Cross multiply
x² = 30*24
x² = 720
x = √720
x = 26.5 (nearest tenth)
✔️Apply the triangle altitude theorem to find y:
Based on the theorem, h = √(ab)
Where,
a = 6
b = 30 - 6 = 24
h = y
Plug in the values
y = √(6*24)
y = √144
y = 12
✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:
Hypotenuse = 30
Leg = z
Part = 6
Plug in the values into the equation
30/z = z/6
Cross multiply
z² = 30*6
z² = 180
z = √180
z = 13.4 (nearest tenth)
HELP PLEASE: without doing the math, determine which is greater, 50 times 1/5 or 50 divided by 1/5. explain your reasoning.
Answer:
The first option
Step-by-step explanation:
Have a nice day :)
Which of the following could be used to estimate 75 -32?
A. 80 - 30
B. 70 - 30
C. 80-40
D. 70 - 40
Answer:
b
Step-by-step explanation:
the answer when not rounded is 43.
Help ASAP, ACD and DCB form a linear pair
Answer:
40
Step-by-step explanation:
because 180- 140 = 40
a linear pair means they equal 180
The measure of angle ACD (∠ACD) is 40 degrees.
Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,
We are asked to find the measure of ∠ACD,
So,
If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.
Let's denote the measure of angle ACD as x.
So, we have the equation:
m∠ACD + m∠DCB = 180°
Substituting the given value for m∠DCB:
x + 140° = 180°
To solve for x, we can subtract 140° from both sides of the equation:
x = 180° - 140°
x = 40°
Therefore, the measure of angle ACD (∠ACD) is 40 degrees.
Learn more about linear pair click;
https://brainly.com/question/1757859
#SPJ2
Gllberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?
Answer:
$13,325
Step-by-step explanation: