Answer:60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Fiona is solving the problem. If she made a mistake in which step(s) did she make it?Solve: 25^x = ✓125Step 1: 25^x = 125^-2Step 2: 5^2x = 5^-6Step 3: 2x = -6Step 4: x = -3A) Step 1B) Step 2C) Step 3D) There is no mistake
Fiona made a mistake in Step 1 because:
[tex]\sqrt[]{125}=125^{\frac{1}{2}}\text{ not }125^{-2}[/tex]Similar figures have sides that are proportional and corresponding angles 1 that are to each other * Cooresponding Similar O Congruent O Proportional O None of the above
Similar figures have sides that are proportional and corresponding angles are congruent to each other
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
1. The volume of a 3-D shape is 27 cubic inches. The shape is scaled up by a factor of 3. What is the
volume of the new shape?
Answer:
81
Step-by-step explanation:
27 * 3 = 81
two shirts cost 12:40$ how much will it cost to buy five of the shirts?
Answer:
12.50/26.256.25×5 31.25
Step-by-step explanation:
If f(x) = x + 4 and g(x) = x ^ 2 - 1 , what is big(g f big) big(x big) ?
Given
[tex]\begin{gathered} f\mleft(x\mright)=x+4 \\ g\left(x\right)=x^2-1 \end{gathered}[/tex]Find
[tex](g\circ f)(x)[/tex]
Explanation
[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ (g\circ f)(x)=g(x+4) \\ (g\circ f)(x)=(x+4)^2-1 \\ (g\circ f)(x)=x^2+16+8x-1 \\ (g\circ f)(x)=x^2+8x+15 \end{gathered}[/tex]Final Answer
Therefore , the correct option is C.
Which equation demonstrates the distributive property? Responses A (3 + 8)5 = 5(3 + 8)(3 + 8)5 = 5(3 + 8) B 15 + 40 = 5(3 + 8)15 + 40 = 5(3 + 8) C 15 x 40 = 40 x 1515 x 40 = 40 x 15 D 15 + 40 = 55
The correct equation which demonstrates the distributive property will be;
⇒ 15 + 40 = 5 (3 + 8)
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
Given that;
There are some equations.
Now,
We know that by the definition of distributive property,
⇒ a (b + c) = ab + ac
So, By the equation (ii);
⇒ 15 + 40 = 5 × 3 + 5 × 8
= 5 (3 + 8)
Thus, The correct equation which demonstrates the distributive property will be;
⇒ 15 + 40 = 5 (3 + 8)
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1. These are added to a picture to make it look more realistic.
Ospaces
Ohorizon lines
Oshadows
O sketches
(C) Shadows are added to a picture to make it look more realistic by enhancing the aesthetics of the picture.
How does adding shadows affect a picture?For images to be properly balanced, light and shadow contrast is crucial. Shadow can provide drama to a certain area of the composition of an image while light makes an image appear brighter. For black-and-white images, using shadows to add contrast is extremely important because you won't be using color to add interest or contrast. With the addition of depth and realism, shadows can significantly enhance the overall aesthetics and usability of any design. Shadows in design should effectively integrate into the overall design and mimic the real-world, organic behavior of light and shadow-casting.Therefore, (C) shadows are added to a picture to make it look more realistic by enhancing the aesthetics of the picture.
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complete the identitysin 2x - cot x
Let's complete the identity:
[tex]\begin{gathered} \sin 2x-\cot x=2\sin x\cos x-\frac{\cos x}{\sin x} \\ =\frac{2\sin^2x\cos x-\cos x}{\sin x} \\ =\frac{\cos x(2\sin^2x-1)}{\sin x} \\ =\frac{\cos x}{\sin x}(2\sin ^2x-1) \\ =\frac{\cos x}{\sin x}(2(1-\cos ^2x)-1) \\ =\frac{\cos x}{\sin x}(2-2\cos ^2x-1) \\ =\frac{\cos x}{\sin x}(1-2\cos ^2x) \\ =\frac{\cos x}{\sin x}(-\cos 2x) \\ =-\cot x\cos 2x \end{gathered}[/tex]how do you ?????????????????????????
what???
any question?????
find an equation of a line with a slope of 6 and having the point (3,5) on the line
Given:
The point (3,5)
The slope is 6.
To find the equation of the line:
Using the point-slope formula,
[tex]y-y_1=m(x-x_1)[/tex]Substituting the point and slope, we get
[tex]\begin{gathered} y-5=6(x-3) \\ y-5=6x-18 \\ y=6x-18+5 \\ y=6x-13 \\ y-6x+13=0 \end{gathered}[/tex]Hence, the equation of the line is,
[tex]y-6x+13=0[/tex]What is the range of the function f(x) = x^2 - 2x -15?*
For this problem, we are given a certain function and we need to determine its range.
The function is:
[tex]f(x)=x^2-2x-15[/tex]This quadratic function has a minimum value in its range, which is represented by its vertex. The best way to determine the range is to find the coordinates of the vertex of this function, therefore we have:
[tex]\begin{gathered} x_{vertex}=\frac{-b}{2a}=\frac{2}{2}=1\\ \\ y_{vertex}=f(1)=(1)^2-2(1)-15=1-2-15=-16 \end{gathered}[/tex]The minimum value in the range is -16, which means that the range is:
[tex]\lbrace f(x)|f(x)\geqslant-16\rbrace[/tex]The correct option is the second one.
20(4. 12)6.Cost($)Weight (kg)Use the graph to find the rate of change of the function m
Rate of change of the function, dC/dW = 3
Explanations:Let the cost be represented as C
Let the wight be represented as W
[tex]\begin{gathered} (W_1,C_1)\text{ = (1, 3)} \\ (W_2,C_2)\text{ = (4, 12)} \end{gathered}[/tex]The rate of change of the function can be calculated using the formula:
[tex]\begin{gathered} \frac{dC}{dW}=\text{ }\frac{C_2-C_1_{}}{W_2-W_1} \\ \frac{dC}{dW}=\text{ }\frac{12-3}{4-1} \\ \frac{dC}{dW}=\text{ }\frac{9}{3} \\ \frac{dC}{dW}=\text{ 3} \end{gathered}[/tex]what digit is in the
we have the expression
[tex]\frac{2}{9}\cdot\frac{1}{3}[/tex]Multiply the fractions
(multiply the numerators and the denominators)
so
[tex]\frac{2}{9}\cdot\frac{1}{3}=\frac{2\cdot1}{9\cdot3}=\frac{2}{27}[/tex]a cell phone tower cast a shadow 10 feet long at the same time that a 75-foot building casts a shadow 15 feet long. how tall is the cell phone tower?
Answer:
50 feet
Step-by-step explanation:
What is the value of x when the Richter
scale rating is 7.5? Round your answer
to the nearest hundredth.
The value of x = 31622776.6.
To find what is the value of x when the Richter scale rating is 7.5.
To round your answer to the nearest hundredth.
if no base is stated, then assume base 10
[tex]log(x) = log_{10} (x)[/tex]
Lets remember that [tex]a = log_{b}(c)[/tex] translates to [tex]b^{a} = c[/tex]
so
[tex]r = log(x)[/tex]
or
[tex]r = log_{10}(x)[/tex] translates to [tex]10^{r} = x[/tex]
so when r=7.5, what is x
[tex]10^{r} = x\\\\10^{7.5} = x[/tex]
31622776.60168379 = x
round to nearest ???
thousandth? 31622776.601 = x
hundredth? 31622776.60 = x
tenth? 31622776.6 = x
Hence the answer is the value of x = 31622776.6.
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answer question below pls. If you do, I will mark it brainliest.
The expression in the blank spaces -3x, 5x-8, -4x+7, 3x-10, 4x-9 and -2x+5 represented with A, B, C, D, E and F respectively
What are the expressions in the blank space?
This is a problem involving algebraic expressions
Since the total for each row and column is the same
First, start from the second because it is complete. Add up all the expressions to get the total:
2x-3 + 3 + 2-x + x = 2x-2
Check the attached image. I labeled the boxes with alphabets for convenience.
A = 2x-2 -(1-2x) - (4x-1)-(3x-2) (Remember: 2x-2 is the total)
A = 2x-2 -1 +2x - 4x+1-3x+2 = -3x
B = 2x-2 -(8-3x) - (2x-3) -(1-2x)
B = 2x-2 -8+3x - 2x+3 -1+2x = 5x-8
C = 2x-2 -B -(6-5x) -(6x-7) where B = 5x-8
C = 2x-2 -5x+8 -6+5x -6x+7 = -4x+7
D = 2x-2 -3 -(4x-1) -(6-5x)
D = 2x-2 -3 -4x+1 -6+5x = 3x-10
E = 2x-2 -C -(2-x) -(3x-2)
E = 2x-2 +4x-7 -2+x-3x+2 = 4x-9
F = 2x-2 -A -x -(6x-7)
F = 2x-2 +3x -x -6x +7 = -2x+5
Therefore, the blank spaces should be filled with the expressions -3x, 5x-8, -4x+7, 3x-10, 4x-9 and -2x+5 represented with A, B, C, D, E and F respectively
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Dave is trying on pants. Each pair is too small, fits well, or is too big. Dave estimates that 10%, percent of the pants he tries on will be too small and that 20% of the pants will be too big. If he were to try on 20 pairs of pants, which is the best prediction for the number of pairs of pants that would fit well?
The best prediction for the number of pair of pants that would fit well is 14.
What is the best prediction?Percentage is when value is converted to a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentages is %.
The first step is to determine the percentage of pair of pants that would fit well.
Percentage of the pair of pants that would fit well = 100% - percentage that are too big - percentage that are too small
Percentage of the pair of pants that would fit well = 100% - 10% - 20% = 70%
Number of pair of pants that would fit well = total pants that Dave tried x percentage that fits well
Number of pair of pants that would fit well = 20 x 70%
Number of pair of pants that would fit well = 20 x 0.7 = 14
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HELP IT'S DUE NOW! :(
The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68 , 0.08b + 0.15c = 6.00 .
In the question ,
it is given that
the total amount paid by the customer at the print shop = $6.00
total number of copies that the customer made = 68
the cost for printing 1 black and white copy = $0.08
the cost of printing 1 color copy = $0.15
let the number of black and white copies be "b"
let the number of color copies be "c" .
So ,
b + c = 68
and
the cost of b black and white copies is = 0.08b
the cost of c color copies is = 0.15c
the total cost = cost of b black and white copies + cost of c color copies
6.00 = 0.08b + 0.15c
0.08b + 0.15c = 6.00
Therefore , The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68 , 0.08b + 0.15c = 6.00 , the correct option is (d) .
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a farmer keeps cows,pigs and sheep on his farm. the ratio of cows to pigs to sheep on the farm is 2:7:16. work out the percentage of the animals that are sheep
Using percentages, we know that there are 64% of sheep in the total of all the animals, which is the ratio [Cows:pigs:sheep = 2:7:16].
What are percentages?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, the decimal 0.35, or the fraction, represents 35%. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.So, the percentage of sheep in the given ratio:
Cows:pigs:sheep = 2:7:16So, the total number of animals:
2+7+16 = 25Now, calculate 16 as what percentage of 25 as follows:
25/100 × x = 1625x = 1600x = 1600/25x = 64%
Therefore, using percentages, we know that there are 64% of sheep in the total of all the animals, which is the ratio [Cows:pigs:sheep = 2:7:16].
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HINT: the table IS PROPORTIONAL, so that means we can compare any y/x value from the table to get r. r = y/x
r = ?
The given relation is not a proportional relationship, with proportional constant r =1.
What is proportional relationship?
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.
Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.
The proportionality constant is,
for 1st case, r = y/x = 1
for 2nd case, r =y/x = 1
for 3rd case, r = y/x = 1
Hence we can say that the given relation is not a proportional relationship, with proportional constant r =1.
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y = x sq+ 10 ; x = 3 find the value of the function rule
The value of the function is, y = 3.61
What is the value of the function?
The objective function's value at a solution is given by the value function of an optimization problem, which only depends on the problem's parameters.
Consider the given function,
[tex]y = \sqrt{x+10}[/tex]
We have to find the value of y at x = 3.
So, plug x = 3 in the above equation.
We get,
[tex]y = \sqrt{3 + 10} = \sqrt{13} = 3.61[/tex]
When we plug x = 3 then we get y = 3.61.
Therefore, the value of the given function is, y = 3.61
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what is the zero of f(x)=-2x+6
Answer:
Step-by-step explanation:
the answer is x=25
Which shows the best estimate for 8.3 ÷ 1.01? A. 7 B. 8 C. 9 D. 9.5
Answer:
the answer is probably B. 8
Step-by-step explanation:
because when the exact answer is put out you need an estimate
8.2178 exactly with the added symbol
so the estimate would have to be B. 8
Answer:b.8
Step-by-step explanation:
6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y complete the missing value in the solution to the equation.
The missing value is 6.
As per the question, y = -4. Keeping the value of y in the equations to find the value of x.
6x + 7(-4) = 4x + 4(-4)
Performing multiplication on each side of the equation
6x - 28 = 4x - 16
Rewriting the equation with identical values on each side of the equation
6x - 4x = 28 - 16
Performing subtraction on each side of the equation to find the value of x
2x = 12
Shifting 2 to Right Hand Side of the equation
x = 12 ÷ 2
Performing division on Right Hand Side of the equation
x = 6
Hence, the value of x is 6.
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The complete question is -
6x+7y=4x+4y
Complete the missing value in the solution to the equation.
(__,-4)
Or watch a video leroy is a citizen scientist for a monarch butterfly project. every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. last week, leroy didn't count many larvae. this week, he counts 29 larvae on the milkweed. for both weeks, leroy's total count is 41 larvae.
Leroy's count for last week is 21 larvae.
Define subtractionThe process of determining the difference between two integers is called subtraction, which is a fundamental arithmetic operation and is represented by the symbol (-). To determine the difference between two numbers, perform the subtraction process. When you remove a few items from a group of things, the group gets smaller.
Given, total count for both week is 41 larvae
Count for this week is 29 larvae.
Now, find the count for last week,
count = 41 - 29
= 12
Therefore, Leroy's count for last week is 12 larvae.
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The complete question is:
Leroy is a citizen scientist for a monarch butterfly project. Every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. Last week, Leroy didn't count many larvae. This week, he counts 29 larvae on the milkweed. For both weeks, Leroy's total count is 41 larvae. Find Leroy's count for last week.
Mrs. publinsky and her husband, xander, are planning their dream house. the lot for the house sits high on a hill with a beautiful view of the white mountains. the plans show the size of the house to be 2,900 square feet.
The estimated cost if they use a contractor to complete the house would be $435,000.
How to calculate the cost of the house?The cost of the house is based on what home builders typically charge for a house similar to the one Mrs. Pavlinski and her husband Zander have in mind.
In this case, the contractor's price is $150 per square foot of her home while the area of the house is given as 2,900 square feet.
Total cost = Cost per square feet x Area of house
Solving for the estimated cost gives:
= 150 x 2,900
= $435,000
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The given question is incomplete and the complete question is as follows.
"Mrs. Publinsky and her husband, Xander are planning their dream house. The lot for the house sits high on a hill with a beautiful view of the White Mountains. The plans show the size of the house to be 2,900 sq ft. The average price for a lot and house similar to this one has been 150 per sq ft. Fortunately, Xander is a retired plumber and feels he can save money by installing the plumbing himself. Mrs Publinsky feels she can take care of the interior decorating. They both feel they can complete the exterior painting with the help of their two sons."
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
9.3 divided by 3.8 HELP MEEEEEEEEEEEEEEEEEE
Answer: 2.44736
Step-by-step explanation:
suppose each license plate in a certain state has three letters followed by three digits. The letters H and L and the digits 1, 2, and 9 are not used. So, there are 24 letters and 7 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format.
Number of license plates = 24 x 24 x 7 x 7 x 7
= 197568