Answer:
7.2
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 +12^2 = 14^2
a^2 = 14^2 - 12^2
a^2 = 196 - 144
a^2 = 52
a = square root of 52 = 7.2
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
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
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
What is the area of the parallelogram?
3
2
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
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.
The cost of a small salad at the deli was marked up 30% after a recent drought destroyed most of the lettuce crop. Determine the new cost if the price prior to the drought was $1.80. Then find the sales tax of the new price if the tax rate is 6%.
Answer:
The new cost is $ 2.34 and sales tax is .14. Total cost is $2.48
Step-by-step explanation:
1.80 x 1.3 = 2.34
2.34 x .06 = .14
Add the two together for the total
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|
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
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:
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
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:
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
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.
I need to know the vertex of this parabola can someone help me ASAP
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]
Use the graph of the function f(x) = (x + 1)² + 2. Identify the vertex and
the axis of symmetry.
A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing to create new plants. The table below shows the expected number of bulbs for each method.
Need Part A-C
Answer:
Step-by-step explanation:
Part A
If the gardener increases the number of dahlia plants by buying the new bulbs,
Let the equation representing year (x) and number of bulbs purchased (y) is,
y = mx + b
Here, m = Number of plants purchased each year
b = Initial numbers of plants
For x = 0, and y = 6,
6 = m(0) + b
b = 6
For x = 1, y = 56,
56 = m(1) + 6
m = 50
Therefore, equation for this method of increasing the numbers of plants will be,
y = 50x+ 6
Let the equation for the second method of increasing the number of plants is represented by the equation,
y = a(b)ˣ
From the data given in the table,
For x = 0, y = 6
6 = a(b)⁰
a = 6
For x = 1, y = 12
12 = 6(b)¹
b = 2
Therefore, equation representing the second method (By diving the existing bulbs) will be,
y = 6(2)ˣ
Part B
By substituting the value of x = 10 years,
Method - 1
y = 50(10) + 6
y = 506 plants
Method - 2
y = 6(2)¹⁰
y = 6144 plants
Part C
After 5 years number of plants by method - 1,
y = 50(5) + 6
= 256
After 5 years number of plants by method - 2,
y = 6(2)⁵
y = 192
Similarly, After 10 years number of plants by method - 1,
y = 50(10) + 6
= 506
By method - 2,
y = 6(2)¹⁰
y = 6144
Since, number of plants after 5 years are less by the second method as compared to method 1
But after 10 years second method results the number of plants more than method-1,
Therefore, gardener should adopt method 2 for increasing the numbers of plants.
Functions are used to represent tables and equations.
(a) The equation of the functions
The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)
So, the equation is:
[tex]y = 6 + 50x[/tex]
The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)
So, the equation is:
[tex]y = 6(2)^x[/tex]
Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]
The expected number of bulbs in 10 years
This means that x = 10.
So, we have:
[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]
[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]
Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively
Compare the expected number of bulbs in 5 and 10 years
When x = 5.
We have:
[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]
[tex]y = 6(2)^x =6 *2^5 = 192[/tex]
When x = 15
We have:
[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]
[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]
By comparison;
In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years
Read more about functions at:
https://brainly.com/question/15602982
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
Please help me with this problem!!
Which of these does NOT represent the distance a car travels when going 55 miles per hour?
Answer:
the first one
Step-by-step explanation:
just trust me
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%
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
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:
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:
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
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
SOMEONE PLEASEEEE HELPPPP!?!!?!?!!?!?!
Answer:
3/35, 12/35, 16/35, 4/35
Step-by-step explanation:
The box has a total of 35 squares.
The pink fills 3 squares so the pink section is: 3/35
The dark blue section covers 12 squares
So 12/35 is another fraction.
The light blue area covers 16 squares so another fraction is 16/35
The white covers 4 squares
So the last possible fraction is 4/35.
Find the slope between the two points:
(3,-2) and (-5, 2)
Answer:
the slope is -2
Step-by-step explanation: