The blanks are -2 and 0.5 respectively, by solving the expression (8 - 2x) *(-0.25x)
What does the term Algebraic Expression means?
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Solution:
Given the expression, we need to solve it by using the properties of basic multiplication.
= (8 - 2x)*(-0.25x)
= (8*(-0.25x)) + (-2x * (-0.25x))
= -2x + 0.5[tex]x^{2}[/tex]
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Evaluate the problem
5/8 - 1/4.
Answer:
5/8 - 1/4 = 3/8
Step-by-step explanation:
Convert to equivalent fractions by multiplying the top and bottom of 1/4 by 2, in order to match 5/8's denominator.1 x 2 = 2, 4 x 2 = 8, so we're left with 2/8
subtract as normal, top by top.5 - 2 = 3.therefore 5/8 - 1/4 = 3/8Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
to be able to compare fractions or add/subtract them directly, we need to bring them all to the same denominator (the bottom part of the fractions).
it is usually easier to bring the smaller to a larger number than the other way around, because of the existing numerators (the top part of a fraction).
since we are dealing with fractions (divisions !), the best way to manipulate them is by multiplying or dividing them by a factor.
so, what do we need to multiply with 4 to get 8 (the other denominator) ?
2, as 4×2 = 8.
aha.
but now careful, we cannot just multiply the denominator by 2. that would change the value of the whole original fraction.
we have to multiply denominator AND numerator by the same factor. that way the original value of the fraction remains the same, because we are essentially multiplying the whole fraction just by 1.
so,
1/4 × 2/2 = 2/8
and now we can easily use it in a calculation with other 8ths :
5/8 - 2/8 = 3/8
Can anyone write the equation this graph?
The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.
What is the Equation of the Graph of an Absolute Value Function?The equation, in vertex form, of a absolute value function is expressed as y = a|x – h| + k, where:
(h, k) = vertex of the graph a = this value determines if the graph opens up or opens down.h = horizontal translation factork = vertical translation factorFrom the graph, we know that:
Vertex (h, k) = (3, 5)
Substitute h = 3 and k = 5 into the equation, y = a|x – h| + k:
y = a|x - 3| + 5
A point on the graph is (5, 7). To find the value of a, substitute x = 5 and y = 7 into the equation y = a|x - 3| + 5:
7 = a|5 - 3| + 5
7 = 2a + 5
7 - 5 = 2a + 5 - 5 [subtraction property of equality]
2 = 2a
Divide both sides by 2
2/2 = 2a/2 [division property of equality]
Substitute a = 1 into y = a|x - 3| + 5:
y = |x - 3| + 5 [equation of the absolute value function]
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in a one-period binomial model of an option value, the probabilities of an up-move and a down-move are:
In a one-period binomial model of an option value, the probabilities of an up-move and a down-move are "calculated from the model inputs."
What is binomial model?The number of survivors, x, in n independent tests is described by a binomial model. The number of tests must be predetermined, the results—success or failure—must be statistically independent for each test, and the survival probability—p—must be constant throughout the tests. When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of observing a specified number of "successes."
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please help!!!!!!!!!!!!!!!
Step-by-step explanation:
the picture is very blurry.
I understand we need the y-intercept in every case and then move the pictures into the empty frames based on sorting these numbers from lowest to highest.
the y-intercept is the point, where a function/curve intersects the y-axis.
in other words, it is the y-value of the point, where x = 0.
so,
1. 0
2. -6
3. looks like -2 (again, very blurry)
4. looks like +2
5. +6
6. +4
sorting these gives us
2. -6 3. -2 1. 0 4. +2 6. +4 5. +6
therefore the 6 frames need to receive the original pictures in that sequence.
HELP PLEASE ASAP!!!!!!!!
The missing angle is as follows:
m∠C = 30 degrees.How to find congruent triangle?When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.
In other words, two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal.
Therefore, the triangle ABC is congruent to EDF.
Hence,
∠A = ∠D
∠B = E
∠C = ∠F
Therefore,
m∠C = x
m∠F = 2x - 30
Hence,
m∠C = m∠F
x = 2x - 30
x - 2x = -30
-x = -30
x = 30
m∠C = 30 degrees
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You have 8,560 grams of a radioactive kind of rubidium. If its half-life is 15 minutes, how
much will be left after 45 minutes?
grams
Answer:
1,070 g
Step-by-step explanation:
Half-life is the length of time it takes for half of the radioactive atoms of a radionuclide to decay. In this scenario, the amount of radioactive atoms is halved after 15 minutes. After 45 minutes, then, the amount of radioactive atoms is halved three times. Therefore:
1st half-life: 8,560 ÷ 2 = 4,280 g
2nd half-life: 4,280 ÷ 2 = 2,140 g
3rd half-life: 2,140 ÷ 2 = 1,070 g
Anthony say he can evaluate the expression (5+4) x 3-2 without parentheses and get the Same answer. Is Anthony correct? Explain your answer.
Answer:
Step-by-step explanation:
5 + 4 × 3 - 2
9 × 3– 2 =
27–2 = 25
Type the correct answer in each box. Use numerals instead of words.
The surface area of a square pyramid is 96 square feet. The height is two-thirds of the length of the base edge.
What is the length of the base edge?
The length of the base edge of the pyramid is …
feet.
The length of the base edge of the given square pyramid is 3.67 feet.
What is the Surface Area?
The sum of all an item's faces makes up the surface area of a three-dimensional object. When wrapping, painting, and finally creating things to get the finest possible design, we apply the idea of surface areas of various items in real life.
What is a Square Pyramid?
In geometry, a pyramid with a square base and four lateral sides is referred to as a square pyramid.A polyhedron with a base and three or more triangle faces that meet above the base is called a pyramid (the apex). A pentahedron is a three-dimensional structure with a total of five faces, such as a square pyramid. The Great Pyramid of Giza is one of the most well-known examples of a pyramid like this in real life.Steps to Calculate the Base Edge Length of Square Pyramid
The formula for surface area of square pyramid is given by, [tex]SA=a^{2} +2a\sqrt{\frac{a^{2} }{4}+h^{2} }[/tex], -----(1)
where [tex]a[/tex] is the length of the base edge and [tex]h[/tex] is the square pyramid height.
In the question, it is given that the surface area of the square pyramid is 96 square feet.
The height of the square pyramid is two-thirds of the base edge length.
[tex]\implies h=\frac{2a}{3}[/tex] ------(2)
Now substituting the given values in (1), we get
[tex]96=a^{2} +2a\sqrt{\frac{a^{2} }{4}+(\frac{2a}{3} )^{2} }\\\implies 96=a^{2} +2a\sqrt{\frac{a^{2} }{4}+\frac{4a^{2} }{9} }[/tex]
Simplifying, we get
[tex]96=a^{2} +2a\times 0.834a^{2} \\\implies 96=a^{2} +1.668a^{3} \\\implies 1.668a^{3}+a^{2} -96=0[/tex]
Finally, we get the value of [tex]a=3.67[/tex] feet.
Therefore, the base edge length of the given square pyramid is 3.67 feet.
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A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.
In the given question we have to find the maximum area of the rectangular area.
Liana has 3200 yards of fencing to enclose a rectangle.
So we know that the perimeter of rectangle is
P= 2(l+b)
Let length of the rectangle is x yards and width is y yards.
So the equation should be
2(x+y) = 3200
Divide by 2 on both side we get
x+y = 1600................(1)
As we know the area of rectangle is
A = xy
From the equation the value of y is 1600-x.
Now putting the value of y
A = x(1600-x)
A = 1600x-x^2
On differentiating
dA/dx = 1600-2x
Putting dA/dx=0
1600-2x=0
Subtract 1600 on both side we get
-2x= -1600
Divide by -2 on both side we get
x = 800 yards
Now putting the value of x in the y=1600-x
y=1600-800
y=800 yards
So the maximum area is
A= 800*800
A= 640,000 square yards
Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.
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Compare the following fraction 8/14 and 4/7
Answer:
These fractions are equivalent, with 4/7 being the simplest form of both.
Step-by-step explanation:
8/14 can be simplified to 4/7 also by dividing both sides by two :)
a box of buttons contains the same number of each type of button
it contains 220g of buttons
how many of each button are in the box
Button A=8 grams
Button B = 12 Grams
The number of buttons A will be 11. And the number of buttons B will be 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A container of buttons contains a similar number of each kind of button it contains 220g of buttons. The weight of the button is given as,
Button A=8 gramsButton B = 12 GramsLet x be the number of each button. Then the equation is given as,
8x + 12x = 220
20x = 220
x = 11
The number of buttons A will be 11. And the number of buttons B will be 11.
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ksiodhhhwdaaaaaaaaaaoidjooaaaaaaaaaaaaaaaaaaa
Answer:
vyfyxfrr6c*"8&"; hxh6 byhd,tf7zg5gzyfe55eE4E45w522
Step-by-step explanation:
6dyxg9yyfz6t bztrfr 4.Sabina the tortoise is an 56,123 way of Policy for recharge of the angles and tricks of Policy in order for me and I have a wonderful experience and a
Find the perimeter of \triangle PQR△PQR. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
154.5
Step-by-step explanation:
left triangle and right triangle has the same degree.
M to Q 107/2 = P to R 53.5
O to N 110/2 = R to Q 55
Find X
M to N 92/2 = P to Q 46
Perimeter- 53.5+ 55+ 46= 154.5
Sam spends exactly £20 on petrol. The petrol costs £1.45 per litre. Work out the number of litres of petrol she buys.
Answer: 13,8 litres
Step-by-step explanation:
£1.45 ------------ 1 L
£20 ------------- ?
?= [tex]\frac{20 *1}{1.45} = 13,79310345 L[/tex] = 13,8 L
each week, between $30$ and $50$ students show up for an archery class run by betty and wilma. usually the students break up into groups of equal size for target practice. however, this week, betty noticed that she could not break the students up into multiple groups of equal size. wilma noticed that if she and betty both joined the students in practicing, they still could not break the archers up into groups of equal size. how many students showed up to the archery class this week?
This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.
Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.
So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.
41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.
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Solve the system of equations using substitution.
3x + 2y = 7
x = 3y + 6
The solution of the system of equation by substitution is x = 3 and y = -1.
How to solve system of equation by substitution?System of equation can be solved using different techniques such as substitution method, elimination method and graphical method.
Let's solve the system of equation by substitution method
Therefore,
3x + 2y = 7
x = 3y + 6
Substitute equation(ii) in equation(i)
3(3y + 6) + 2y = 7
9y + 18 + 2y = 7
9y + 2y + 18 = 7
11y = 7 - 18
11y = -11
y = -11 / 11
y = -1
Hence, let's find x
x = 3(-1) + 6
x = -3 + 6
x = 3
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Simplify each expression.
1) 7w + 2w - 6w
2) 9x - 3x + 2x 3) 8p + 3p - p
4) 6b-3b+5b
The simplified expressions for the questions will be, 1) 3w, 2) 8x, 3) 10p, 4) 8b.
The simplification of an algebraic expression generally means breaking the equation into a smaller form for easier calculation with the help of formulas or using the rule of BODMAS.
Here, all the questions can be solved by using the BODMAS rule.
1) 7w + 2w - 6w
= (7w + 2w) - 6w
= 9w - 6w
= 3w.
2) 9x - 3x + 2x
= (9x + 2x) -3x
= 11x - 3x
= 8x.
3) 8p + 3p - p
= (8p + 3p) - p
= 11p - p
= 10p.
4) 6b - 3b + 5b
= (6b +5b) - 3b
= 11b -3b
= 8b.
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Step-by-step explanation:
[tex]7w + 2w - 6w \\ 9w - 6w \\ = 3w[/tex]
[tex]9x - 3x + 2x \\ 6x + 2x \\ = 8x[/tex]
[tex]8p + 3p - p \\ 11p - p \\ = 10p[/tex]
[tex]6b - 3b + 5b \\ 3b + 5b \\ = 8b[/tex]
For what value of X is Y= 4 a solution to the equation X-2 =XY+16
Answer:
x = -6
Step-by-step explanation:
x - 2 = x (4) + 16
x - 2 = 4x + 16
4x - x = -2 - 16
3x = -18
3/3 x = -18/3
x = -6
the ratio of drummers to guitar players who tried out for a band is 10:45 .
How many times the number of drummers is the number of guitar players?
Answer:
4.5
Step-by-step explanation:
45/10=4.5
2x^3 + 2
________
x + 3
In long division of polynomials
Answer:
2x^2
__________
x+3 | 3
2x + 2
3
- 2 x - 3
_________
R = - 1
Someone help me with this please
Answer:
C
Step-by-step explanation:
C has a directly proportional relationship. 27 glasses are in 9 cases, and 81 glasses are in 27 cases. Directly proportional since 9×3=27 (cases) and 27×3=81 (glasses)
If the weight of 7 sheets of paper is 28 g, find how many papers will weigh 1 .5 kg?
Answer:
Step-by-step explanation:
weight of 1 sheet= (28/7)g
=4g
1.5kg=1.5 X 1000g
=1500g
no. of papers that will weigh 1.5 kg= 1500/4
=375
Answer: 375 sheets of paper
Step-by-step explanation: First, to find the weight of one sheet of paper, we can do 28 divided by 7 to get 4 grams. Then, since 1.5 kg is 1500 grams, we can do 1500 divided by 4, which equals 375. So, 375 sheets of paper will weigh 1.5 kg.
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For the given accumulated value, principal money and interest rate compounded continuously the time t is equal to 5.8 years.
As given in the question,
The formula given to us is A = P[tex]e^{rt}[/tex] where
A = accumulation value
P = principal money
t = time period
r = interest rate compounded
P = 9500
A = 2*9500
r = 0.12
By applying it in the given formula we get
19000 = 9500 * [tex]e^{0.12t}[/tex]
2 = [tex]e^{0.12t}[/tex]
Take natural log on both sides
㏑(2) = 0.12t
0.6931 = 0.12t
t = 5.775
Therefore , For the given accumulated value, principal money and interest rate compounded continuously the time t is equal to 5.8 years after rounding it off to one place after decimal.
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The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028. In the year 2028, the total average credit card debt for a U.S. household will be $
Step-by-step explanation:
The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028.
2028 - 1995 = 33 years, so t = 33
D = 401t + 5940
D = 401(33) + 5940
D = 13,233 + 5940
D = 19,173
Answer: In the year 2028, the total average credit card debt for a U.S. household will be $19,173
Equation of a line in point- slope form, that passes through (1,-7) and has a slope of -2/3?
The equation of a line in point- slope form, that passes through (1, -7) and has a slope of -2/3 is (y + 7) = -2/3 (x - 1)
How to determine the equation of a line in point- slope formInformation gotten from the question include
a slope of -2/3
points (1, -7)
What is linear function ?A linear function consists of functions where the variables has exponents of 1.
The equation of a line in point- slope form is expressed in the form.
(y - y₁) = m (x - x₁)
Definition of variables
(y and y₁) = refers to variables in the y direction
m = slope
x and x₁ = refers to variables in the x direction
substituting into the slope and point (1, -7) equation gives
()y + 7) = -2/3 (x - 1)
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please help me.
5x + (-y) +8 -6x +9y (Evaluate X=4 and Y=-2)
Answer:
answer: -35
Step-by-step explanation:
if it's not sorry
Answer:
-12
Step-by-step explanation:
5x+(-y)+8-6x+9y
where x=4 and y=-25(4) +(-(2))+8 -6(4) + 9(-2)20+2+8-24-1830-42-12marjore needs to earn a C in her class. her current test scores are 67,78,75,78 and .her final exam is worth 6 test scores. In order to earn a C marjorties average must lie between 70 and 79 inclusive. What range of scores can marjorie's receive on the final exam to earn a C in the course?
The range of scores that Marjorie's can receive in the final exam to earn a C in the course is 67 to 82 .
in the question ,
it is given that
the Marjorie's score in the tests are 67 , 78 , 75 , 78 .
let the score in the final exam be "x"
it is given that the final exam score is worth 6 test scores , which means
the score in final exam is = 6x
and the total number of tests = 6+4 = 10
given that to get the grade C minimum average is = 70
that is (67 + 78 + 75 + 78 + 6x)/10 = 70
67 + 78 + 75 + 78 + 6x = 700
298 + 6x = 700
6x = 700 - 298
6x = 402
x = 402/6
x = 67
given that to get the grade C maximum average is = 79
that is (67 + 78 + 75 + 78 + 6x)/10 = 79
67 + 78 + 75 + 78 + 6x = 790
298 + 6x = 790
6x = 790 - 298
6x = 492
x = 492/6
x = 82
the range of scores is 67 to 82 .
Therefore , The range of scores that Marjorie's receive in the final exam to earn a C in the course is 67 to 82 .
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For a ride on a rental scooter, Tom paid a 5 fee to start the scooter plus 9 cents per minute of the ride. The total bill for Tom's ride was 21.38 . For how many minutes did Tom ride the scooter?
Answer:
182 minutes
Step-by-step explanation:
0.09x+5=21.38
-5. -5
0.09x=16.38
/0.09. /0.09
X=182
182 minutes
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Answer:
719.412
Step-by-step explanation:
S(x)=-.228x^2+8.154x-8.3 x=7 feet
Plug in 7 for x, you'll convert to inches at the end
S(x)=.228(7^2) +8.154(7)-8.3
S=49(.228)+8.154(7)-8.3
S=11.173+57.078-8.3
S=59.951
Multiply by 12 to get inches
719.412
(If this answer doesn't work then you probably need to convert to inches before plugging in for x. 7 x 12=84 so plug that in.)
Solve:-
[tex]\bf 7(5a - 4) - 1 = 14 - 8[/tex]
Answer:
a = 1
Step-by-step explanation:
Given equation,
→ 7(5a - 4) - 1 = 14 - 8
Now the value of a will be,
→ 7(5a - 4) - 1 = 14 - 8
→ 35a - 28 - 1 = 6
→ 35a - 29 = 6
→ 35a = 6 + 29
→ a = 35/35
→ [ a = 1 ]
Hence, the value of a is 1.