Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
[Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t[Subtraction Property of Equality] Isolate t term: 5 = 2t[Division Property of Equality] Isolate t: 5/2 = tRewrite: t = 5/2Answer:
t = ⁵⁄₂ or 2.5Explanation:
3t + 7 = 2 + 5t
Simplify both sides of the equation3t + 7 = 5t + 2
Subtract 5t from both sides3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
Subtract 7 from both sides−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
Simplifyt = ⁵⁄₂
Turn the fraction into a decimalt = 2.5
t = ⁵⁄₂ or 2.5
Write the exponent for 3 x 3 x 3 x 3 x 3 (shift 6 to make the ^ sign). *
Answer:
3^5Step-by-step explanation:
The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.
The scale factor of similar figures is 4/3, and one side of the smaller triangle is 12.
The corresponding side on the larger triangle is 16.
True
False
Answer:
True
Step-by-step explanation:
Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question
Answer:
[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]
General Formulas and Concepts:
Math
RoundingEuler's Number e - 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Differentials
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Part A
Step 1: Define
[tex]\displaystyle y = 5e^{5x}[/tex]
Step 2: Differentiate
[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]Part B
Step 1: Define
[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]
[Given] x = 3, dx = 0.4
Step 2: Evaluate
Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials
Book: College Calculus 10e
If an interest rate of 5% results in interest of $50,
what is the principal amount of the loan?
Answer:
Ñpswplmlpspapppapapa
Simplify completely*****
Answer:
[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 16}{6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce: [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.
The explicit rule for the geometric sequence is aₙ =
Step-by-step explanation:
i guess math is the hardest subject
Answer:
The answer is aₙ = 2,500 (6/5)^n-1
Hope i helped, have a wonderful day! :D
someone please help!!!
Answer:
y = 3x + 5 option A
Step-by-step explanation:
For 2 lines that are parallel with slopes m1 and m2, the slopes are equal. Hence
m1 = m2
Given the line y = 3x - 5 Comparing with the general equation of a line
y = mx + c where m is the slope of the line
m = 3
hence m1 = m2 = m = 3
For the line that passes through the given point (2,11) Using
y - y1 = m (x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
Add 11 to both sides
y = 3x - 6 + 11
y = 3x + 5
BRAINLIEST! What is the slope of the line ?
Answer:
[tex]\displaystyle m=\frac{-4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (2, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{2+3}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-4}{5}[/tex]5у2 2is a power + бу - 4
Answer:
Its 5000
Step-by-step explanation 4883-3455=5000
PLZ HELY ILL MARK BRANILEST
Answer:
518
Step-by-step explanation:
14 x 74 = 1036 1036 / 2 = 518
( really need brainliest , hope it helps )
( first )
Please help ASAP!
Thank you
Find the missing base
Can you answer this for me thank you
what is 7/8 days in hours
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.
Answer:
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Step-by-step explanation:
The correct order of the steps are :
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges sim
Interest at an annual rate of 2%.
Answer:
Step-by-step explanation:
A=P(1+rt)
A=200(1+.02(3))
A=200(1.06)
A=$212
what is 18,693.51 as 2dp
Answer:
What are u even talking about
Step-by-step explanation:
A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.
A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°
D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°
E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°
Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
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invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?
Answer:
The distance is less than 216 inches.
Step-by-step explanation:
Each feet has 12 inches.
The large shelves in the storage area are 17 feet 8 inches apart
So, in inches, this distance is of:
17*12 + 8 = 212
This distance is less than 216 inches.
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So...
Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?
Answer:
create a proportion 72/348 = 32/x
Step-by-step explanation:
x = 1682
1682 ÷ 12 = 140.1
The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.
29 feet = 348 inches
6 feet 2 inches = 74 inches
Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.
Then the length of the tree’s shadow that will allow the tree to be cut down will be
Let x be the tree’s shadow. Then we have
x / 348 = 32 / 74
x = 150.486
x ≅ 150.5 inches
More about the ratio and the proportion link is given below.
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The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
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Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77
According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
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An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: ______________, _______________ , ________________, _____________.
Answer:
An inequality sign is like an equal sign with a line through it
so, like, if you put = and / together
Answer:
<, >, =>, =<
Step-by-step explanation:
Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
Simplify completely*****
Answer:
[tex]\displaystyle x - 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 7x - 30}{x + 10}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 3)(x + 10)}{x + 10}[/tex][Fraction] Divide: [tex]\displaystyle x - 3[/tex]