Write a statement that indicates that the triangles in each pair are congruent.
Answer:
If the angle degree and size of triangle are similar or same, it is depicted as congruent.
Simplify this square root question
The simpliication of the expression is:
[tex]\frac{3 + 5x}{\sqrt{96}*x - \sqrt{x} }[/tex]
How to simplify the expression?
We have the expression:
[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }[/tex]
Remember two things:
[tex]\sqrt{x^2} = x\\\\\sqrt{A*B} = \sqrt{A} *\sqrt{B}[/tex]
So we can rewrite the expression as:
[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }\\\\\frac{3 + 5x}{\sqrt{96}x - \sqrt{x} }[/tex]
And we can't simplify the equation anymore than that, so we stop there.
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Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
A. j / k = j / i
B. i / j = h / k
C. h / i = h / k
D. k / i = j / i
Based on the triangle proportionality theorem, the true proportion regarding the figure is: B. i/j = h/k
What is the Triangle Proportionality Theorem?The triangle proportionality theorem states that when two sides of a triangle is intersected by a line that is parallel to the third side of a triangle, the two sides intersected are therefore divided in the same ratio.
TU is parallel to QR. Therefore, based on the triangle proportionality theorem, TU will divide QS and RS in the following ratio: B. i/j = h/k
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Consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .
The solution to the given quadratic expression using the completing the square is x = ±√-2 -5
Completing the square methodThis is a method of factoring quadratic expression. Given the quadratic function.
x^2 + 10x + 27 = 0
Subtract 27 from both sides
x^2 + 10x = -27
Complete the square
x^2 +10x +5^2 = -27 + 25
(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5
Hence the solution to the given quadratic expression using the completing the square is x = ±√-2 -5
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What is text structure in non-fiction?
A.the table of contents
B.how the text is organized
C.illustrations and captions
D.the glossary
Answer:
B. because of the structure in a non fiction would be how the text is organized and words that are used
What are the solutions of the equation x^4+3x^2+2=0? Use u substitution to solve.
Answer:
Option BStep-by-step explanation:
Solve the equation in steps below
[tex]x^4+3x^2+2=0[/tex][tex]x^4+x^2+2x^2+2=0[/tex][tex]x^2(x^2+1)+2(x^2+1)=0[/tex][tex](x^2+2)(x^2+1) = 0[/tex][tex]x^2+2=0[/tex] or [tex]x^2+1=0[/tex][tex]x^2=-2[/tex] or [tex]x^2=-1[/tex][tex]x=\sqrt{-2}[/tex] or [tex]x=\sqrt{-1}[/tex][tex]x=\pm\ i\sqrt{2}[/tex] or [tex]x=\pm\ i[/tex]Correct choice is B
Determine the period.
Acellus!!! Please help
Reason:
The first peak is at x = 0. The next peak over is at x = 1. The difference is 1-0 = 1 which is the period.
The period is the amount of time needed to repeat the cycle.
The first peak occurs at x = 0, and the next peak occurs at x = 1. The difference between these two points is 1, which represents the period of the function.
The period of a function can be determined by finding the difference between two consecutive peaks or troughs.
To determine the period step by step, we start by identifying the first peak or trough of the function. In this case, it is x = 0.
Then, check for the next peak or trough, which is x = 1.
The difference between these two points gives the period, which is 1 unit of time.
The period represents the length of time required for the function to complete one full cycle and repeat itself. It is an important concept in understanding the periodic behavior of functions.
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Solve. 12 1/2 - (-4 1/2)
Answer:
17
Step-by-step explanation:
two negative signs makes a positive result
Felisha has 32 fluid ounces of pineapple juice. does she have enough pineapple juice to make one recipe?
Answer:
It depends
Step-by-step explanation:
Based on the given info it depends on how much the recipe calls for. 32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints. I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)
Answer:7
Step-by-step explanation:
What is the probability of drawing a spade from a standard deck of cards or a
7?
The probability of drawing a spade is 13/52 = 1/4
Because every hand has 13 cards and there is 52 cards in a deck
The probability of drawing a 7 is 4/52 or 1/13
Because there are seven 7 cards in a deck and 52 cards.
A sample of 50 chewable vitamin tablets have a sample mean of 300 milligrams of vitamin c. nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin c per tablet differs from 297 milligrams. state the appropriate null and alternate hypotheses.
The null hypothesis is that the mean mass of vitamin c per tablet does not differ from 297 milligrams
The alternative hypothesis is that the mean mass of vitamin c per tablet differs from 297 milligrams.
What is the null and alternative hypothesis?The null hypothesis usually states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.
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Which two answer choices below would give you a value of 4 times smaller than (20 x 100)? A) (20 x 100) 4 B) 204 x 100 C) 20 - 25 D) 5 x 25
The option (C) 20 – 25, and option (D) 5×25 are 4 times smaller than (20 × 100) option (C) and (D) are correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, —, ×, and ÷.
We have:
= (20 x 100)
= 2000
4 times smaller will be:
=2000/4
= 500
A) (20×100) 4 = 4000
B) 204×100 = 20400
C) 20 – 25 = -5
D) 5×25 = 100
-5 < 500
100 < 500
Thus, the option (C) 20 – 25, and option (D) 5×25 are 4 times smaller than (20 × 100) option (C) and (D) are correct.
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Ou buy tomato sauce for $0.37 per ounce. one portion of potato gnocchi requires 3.5 ounces of tomato sauce. how much does the sauce for one portion cost? round to the nearest cent.
Answer:
$1.30
Step-by-step explanation:
As with costs anywhere, you find the total cost by multiplying the unit cost by the number of units. Here, a unit is 1 ounce of tomato sauce. 3.5 units are used in the recipe. The unit cost is given as $0.37 per ounce.
__
cost of sauce = (cost per ounce) × (number of ounces)
= ($0.37) × 3.5 = $1.295
This rounds up to $1.30.
The sauce for one portion costs $1.30.
Find the area of the figure. (Sides meet at right angles.)
Answer:
44ft^2
Step-by-step explanation:
Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)
3 x 2 = 6 ft^2
since there's two rectangles you end up 6 + 6 so you get 12 ft^2
then 4 x 8 = 32 ft^2
add 32 and 12, get 44 ft^2
As inflation increases, it causes the money you earn today to have __________.
more value in the future
less value in the future
more purchasing power in the future
no purchasing power effect in the future
Answer:
less valuable
Step-by-step explanation:
it will be reduced when time goes by
Rand will deprecate
Here are some numbers.
8 11 13 18 25 37
8 13 18 is an arithmetic progression and the rule is to add 5.
Use three of the numbers to make a different arithmetic progression.
Describe the rule.
Answer:
Below.
Step-by-step explanation:
11 18 25 is also an A. P. and the rule is add 7.
Answer:
11,18,25
Step-by-step explanation:
11,18,25 is the new arithmetic progression the rule is add 7
The speed of light in a vacuum is 29,980,000,000
centimeters per second. In scientific notation, this
number is written as
A. 2.998 x 10⁹.
B. 2.998 x10¹0.
C.
29.98 x 10⁹.
D. 29.98 x10¹0.
Answer:
[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]
Step-by-step explanation:
Given number:
29,980,000,000
Rules:
Move the decimal point after the first non-zero digit. (after 2)Here, we will move the decimal point 10 places to the left to move it after the first non-zero digit.Since we move the decimal point 10 places, we will write the number as a multiple of 10¹⁰ (10 being the exponent).The number will become:
2.998 × 10¹⁰
[tex]\rule[225]{225}{2}[/tex]
Answer:
B. 2.998 x 10¹⁰
Step-by-step explanation:
Given :
29,980,000,000Steps in solving :
Take the zeros after the last non-zero digit as a power of 10.Take the non-zero part (in the part) and put a decimal point after between the thousands and hundreds place, and shift the remaining powers of 10 to the previously grouped part.Adjust further if needed to match an answer.Solving :
29,980,000,0002,998 x 10⁷2.998 x 10³ x 10⁷2.998 x 10¹⁰what is the essence of calculus?
*friendship
Differential Calculus, or Differentiation
If we have a function of one variable, ie of the form [tex]y=f(x)[/tex], then in its most basic form differentiation is the study of how a small change in one variable [tex]x[/tex] affects the other variable [tex]y[/tex].
As an real life example, consider the average speed of a moving car:
average speed = distance travelled/ time taken
Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.
Similarly if we wanted to find the gradient of the tangent to a curve at some particular point [tex]A[/tex] we would estimate the gradient by using a chord to a nearby point [tex]B[/tex]. As we move this nearby point [tex]B[/tex] closer to the tangent point [tex]A[/tex] the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point [tex]B[/tex] infinitesimally close to the point [tex]A[/tex] o that we can calculate the actual gradient of the tangent.
Integral Calculus, or Integration
Suppose we wanted to calculate the area under a curve, [tex]y=f(x)[/tex], bounded the [tex]x[/tex] =axis, and two points [tex]a[/tex] and [tex]b.[/tex] We could start by splitting the interval [tex][a,b][/tex] into [tex]n[/tex] regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase [tex]n[/tex] then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.
The Fundamental Theorem of Calculus
Given the above two notions, it would appear that there is no connection between them at first., The Fundamental Theorem of Calculus, on the other hand, is a theorem that connects the rate of change of the area function (which determines the area under a curve) to the function itself. In other words, the area function's derivative equals the function itself.
Visual for Fundamental Theorem of Calculus for integrals:
[tex]\int\limits^b_af {(x)} \, dx =F(b)-F(a).[/tex]
where F is an antiderivative of [tex]f[/tex]
Physics, Chemistry, all engineering sciences, statistics, economics, finance, biology, computer science, linguistics, to name but a few, are all areas that would be a desert without the use of calculus.
Leibnitz and Newton worked to define the velocity of a planet moving on a curved trajectory. That was not possible without calculus, and both had to invent differential calculus. Differential calculus allows to compare quantities along a curve, and thus their time rate of change.
All of classical physics can be summarized in this operation. Given second derivative (which is Force/mass), find the position as a function of time. This process is called integration. Half of calculus is made with integration, the other half with derivation. All of classical physics rests on these two parts of the calculus.
Quantum mechanics, quantum field theory, electromagnetism, fluid mechanics all use integration and derivation and much more. I rest my case. I hope this helps you gauge the place that calculus occupies in science.
Answer:
so what i think is that *friendshipStep-by-step explanation:
what does (5x3)+(4x2) equal
Answer:
23
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 8
15 + 8
= 23
3) Jasmine says "I am 45 kilos". Yolander says, " I am 53 kilos". Both are measured to
the nearest kilogram.
What is the greatest possible difference between their masses? Show how you
worked out your answer.
spanish 45 kilis la respuesta seria que los yolander son 53kilos
there were v crayons In a box.1/6 of the crayons were new.angie added another 24 new crayons to the box and there are 30 new crayons altogether.how many crayons were there in the box at first
Answer: 36
Step-by-step explanation:
If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?
Select the correct choice.
A.) YES
B.) NO
what is 90% of $90,000,000
Answer:
81000000
[tex]\frac{90}{100} *90000000\\ 90*900000\\ 9*9=81\\ then write all the zeros[/tex]
this is worth 40 points so pls help! I need this ASAP.
I also need COMPLETE solution
Answer:
Shown below.
Step-by-step explanation:
Test Marks Tally Frequency Percentage
1 8 8/60 = 0.133
2 6 6/60 = 0.100
3 5 5/60 = 0.083
4 5 5/60 = 0.083
5 5 5/60 = 0.083
6 8 8/60 = 0.133
7 6 6/60 = 0.100
8 7 7/60 = 0.116
9 4 4/60 = 0.066
10 5 5/60 = 0.083
Total 59 59/60 = 0.983
For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.
Enter the number that 95.746 rounds to when rounded to the nearest hundredth.
Answer:
95.75
Step-by-step explanation:
Note the place values:
9 (tens place value)
5 (ones place value)
.
7 (tenths place value)
4 (hundredths place value)
6 (thousandths place value)
~
In this case, you want to round to the nearest hundredth place value. to round, look at the place value directly right of the place value you are solving for (in this case, the thousandths place value). The value is 6.
Note:
When the value of the digit is 5 or greater, you round up. When the value of the digit is 4 or less, you round down.In this case, the value is 6, so you will round up:
95.746 rounded to the nearest hundredth is 95.75
~
Para preparar un pastel, se necesita: 1/3 de un paquete de 750
g de azúcar, 3/4 de un paquete de harina de kilo, 3/5 de una
barra de mantequilla de 200 g. Halla, en gramos, las
cantidades que se necesitan para preparar el pastel.
Considerando la multiplicando una fracción por un entero, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.
Multiplicando una fracción por un enteroPara multiplicar una fracción por un número entero, se debe tener en cuenta que cualquier entero n puede ser escrito como la fracción [tex]\frac{n}{1}[/tex].
Luego, se multiplican los denominadores para obtener el denominador final y se multiplican los numeradores para obtener el numerador final. Es decir, en la multiplicación de fracciones se multiplican los numeradores de las fracciones y aparte los denominadores.
Cantidades para preparar un pastelPara preparar un pastel, se necesita 1/3 de un paquete de 750 g de azúcar, 3/4 de un paquete de harina de kilo (1000 g), 3/5 de una barra de mantequilla de 200 g. Esto es:
[tex]\frac{1}{3}[/tex]× 750 gramos [tex]\frac{3}{4}[/tex]× 1000 gramos[tex]\frac{3}{5}[/tex]× 200 gramosConsiderando la multiplicando de una fracción por un entero y resolviendo se obtiene:
[tex]\frac{1}{3}[/tex]× 750 gramos= [tex]\frac{1}{3}[/tex]× [tex]\frac{750}{1}[/tex]= [tex]\frac{750}{3}[/tex]= 250 gramos[tex]\frac{3}{4}[/tex]× 1000 gramos= [tex]\frac{3}{4}[/tex]× [tex]\frac{1000}{1}[/tex]= [tex]\frac{3000}{4}[/tex]= 750 gramos[tex]\frac{3}{5}[/tex]× 200 gramos= [tex]\frac{3}{5}[/tex]× [tex]\frac{200}{1}[/tex]= [tex]\frac{600}{5}[/tex]= 120 gramosFinalmente, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.
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Help me please help me
Answer:
3/10
Step-by-step explanation:
Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10
Graph f(x) = x2 − 6x + 5? (1 point) 30 pts
Answer:
Direction: Opens Up
Vertex:(3,−14)
Focus:(3
Step-by-step explanation:
hope this help if not let me know have a blessed day
Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club?
Step-by-step explanation:
b is the answer y=50+12x/x
As we can get the information
the registration fee is fixed, but the dues is
increased with the Month.
so the average monthly cost
answer y=50+12x/x
evaluate the following if x = 2, y = -1 and z = 5.
a) xz + 1 b) 4x + y c) x - 2yz d) x(y + z) e) x² - 3z
simplify the following:
a) 2 x 4n b) 3x X 2y c) 8a ÷ 2 d) [tex]\frac{4^{2}y }{12x}[/tex]
simplify by collecting like terms:
a) 2b + 4b + b b) 6x + 3 - 2x c) 4p - 3q - p + 5q d) 3mn + 2m - 6mn +n
expand and simplify the following:
a) 2(x + 7) b) -3(2x + 5) c) 2x(3x - 4) d) -2a(5 - 4a) e) 4(x +2) + 5 f) 3(x - 2) - 1
Answer: please mark as brainliest
Step-by-step explanation: a) xz+1 = 2 x 5 + 1 = 11
b) 4x+y = 4 x 2 + (-1) = 7
c) 2 - 2 x -1 x 5= 12
d) 2(-1 + 5) = 2 x 4= 8
e) 2sq - 3 x 5= 4 - 15= -11