Answer:
a. (x+5)^2 = 49
b. (x+7)^2 = (x+1)^2
Step-by-step explanation:
So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)
Answer:
a: x + 5^2 = 49
b: 7>x^2=(put three lines not two) (1>x)^2
Step-by-step explanation:
A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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The parent absolute value function is reflected across the x-axis and translated right 2 units. Which function is represented by the graph?
–|x – 2|
–|x + 2|
|–x| – 2
|–x| + 2
The function represented by the graph with the given transformations is |–x| + 2.
The function represented by the given transformations is |–x| + 2.
Let's analyze the transformations step by step:
Reflection across the x-axis:
Reflecting the parent absolute value function across the x-axis changes the sign of the function. The positive slopes become negative, and the negative slopes become positive. This transformation is denoted by a negative sign in front of the function.
Translation right 2 units:
Translating the function right 2 units shifts the entire graph horizontally to the right. This transformation is denoted by subtracting the value being translated from the input of the function.
Combining these transformations, the function |–x| + 2 results. The negative sign reflects the function across the x-axis, and the subtraction of 2 units translates it right. The absolute value is applied to the negated x, ensuring that the function always returns a positive value.
Thus, the function represented by the graph with the given transformations is |–x| + 2.
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Answer: -lx-2l
Step-by-step explanation:
See whether you're understanding the subject and skills.
If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training
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With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.
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.
Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
Johnny and Elizabeth were playing a video game and trying to get all of the treasure. Johnny got \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction of the treasure. Elizabeth got \dfrac{5}{9} 9 5 start fraction, 5, divided by, 9, end fraction of the treasure. Together, Johnny and Elizabeth got what fraction of the treasure?
Answer:
8/9
Step-by-step explanation:
The proportion of the treasure which Johnny got \(= \dfrac{1}{3}\)
The proportion of the treasure which Elizabeth got \(=\dfrac{5}{9}\)
Together, the proportion of the treasure which they got
\(= \dfrac{1}{3}+\dfrac{5}{9}\)
Take the LCM of the denominators
LCM of 3 and 9 is 9.
Therefore:
\(\dfrac{1}{3}+\dfrac{5}{9} \\\\=\dfrac{3+5}{9}\\\\=\dfrac{8}{9}\)
Together, Johnny and Elizabeth got 8/9 of the treasure.
odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21
Step-by-step explanation:
Odds against = failures / successes
Probability = successes / (successes + failures)
0.21 = cats / (cats + no cats)
1 / 0.21 = (cats + no cats) / cats
4.76 = 1 + (no cats / cats)
3.76 = no cats / cats
So the odds against are 3.76 to 1.
1. Work out these calculations
104 divide to 4 =
168 divide to 7 =
342 divide to 6 =
423 divide to 9 =
472 divide to 8 =
305 divide to 5 =
112 divide to 7 =
207 divide to 9 =
2. Work out these division calculations with their remainders (e.g.: 25r1)
351 divide to 6 =
509 divide to 9 =
398 divide to 8 =
375 divide to 4 =
436 divide to 7 =
296 divide to 3 =
254 divide to 9 =
345 divide to 6 =
396 divide to 7 =
964 divide to 5 =
231 divide to 4 =
3. What is the missing digit?
?7 x 9 = 333
Answer:
1:
26
24
57
47
59
61
16
23
2:
58.5
56.556
49.75
93.75
62.2857142857
98.667
28.223
57.5
56.5714285714
19.28
57.75
Answer:
100r1
Step-by-step explanation:
The area of an 14-cm-wide rectangle is 322 cm2. What is its length?
The length is
cm.
Answer:
The length of rectangle is 23 cm.
Step-by-step explanation:
DIAGRAM :
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}\)
\(\begin{gathered}\end{gathered}\)
SOLUTION :
Here's the required formula to find the length of rectangle :
\({\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}\)
A = Area l = length b = breadthSubstituting all the given values in the formula to find the length of rectangle :
\(\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}\)
Hence, the length of rectangle is 23 cm.
\(\begin{gathered}\end{gathered}\)
LEARN MORE :
\(\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}\)
\(\rule{300}{2.5}\)
Answer:
Area=322cm²Breadth=14cmLength=?We know that,
\( \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)\)
\(\implies\displaystyle{3 {22}^{} } = l \times 14\)
\(\implies\displaystyle{ \frac{322}{14} = l }\)
\( \implies \displaystyle{23=l}\)
Thus,the value of length=23 cm.
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5
The rules that define the piecewise function graphed are as follows:
y = x + 2, y = 5.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:
m = (5 - 2)/(3 - 0) = 1.
The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:
\(y = x + 2, 0 \leq x \leq 3\)
For x greater than 3, the function is constant at y = 5, hence the definition is:
y = 5, x > 3.
Hence, the rules that are used to define the piecewise function graphed are as follows:
y = x + 2, y = 5.
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According to a salad recipe each serving require 6 teaspoons of vegetable oil and 9 teaspoons of vinegar and 24 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used
Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.
According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:
First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):
9 ÷ 6 = 1.5
This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:
1.5 ÷ 1 = 1.5
(teaspoons of oil per 1 teaspoon of vinegar)
24 ÷ 1.5 = 16
(teaspoons of vinegar needed)
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rcher Company is a wholesaler of custom-built air-conditioning units for commercial buildings. It gathered the following monthly data relating to units shipped and total shipping expense: Month Units Shipped Total Shipping Expense January 3 $ 1,500 February 6 $ 2,000 March 4 $ 1,400 April 5 $ 1,700 May 7 $ 2,000 June 8 $ 3,000 July 2 $ 900 2. Using the high-low method, estimate the cost formula for shipping expense.
Using the high-low method, the cost formula for shipping expenses for Richer Company is 200 + 350x, where x is the number of units shipped.
How the high-low method is used:The high-low method can help separate the total cost's fixed and variable elements.
In the high-low method, we take the highest and lowest levels of activity and compare the total costs and the total units at each level. The difference in costs is divided by the difference in units to determine the variable element.
With the variable cost determined, the fixed cost can be worked out.
Month Units Shipped Total Shipping Expense
January 3 $ 1,500
February 6 $ 2,000
March 4 $ 1,400
April 5 $ 1,700
May 7 $ 2,000
June 8 $ 3,000
July 2 $ 900
Highest:
June 8 $ 3,000
Lowest:
July 2 $ 900
Difference 6 $2,100
Unit rate = $350 ($2,100/6)
Fixed cost, a = 350(8) + a = 3,000
2,800 + a = 3,000
a = 200
= $200
Cost Formula:200 + 350x
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For data sets having a distribution that is approximately bell-shaped, _______ states that about 68% of all data values fall within one standard deviation from the mean.
Answer:
The Empirical Rule
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
So the answer to this question is the Empirical Rule
f(x) = x2 What is g(x)=f(3x)
How to simplify the square root of 36
Answer:
6
Step-by-step explanation:
6 times 6 = 36, so 6 is the answer
Hope this helps. Please mark me brainliest!
The answer to the question 36/12=3
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT
Answer: My teacher told me to use 180 and divide something.
Step-by-step explanation:
Answer:
isnt itjust 15?
Step-by-step explanation:
1 +1+1+1 = 4 5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m)
w = m + 6
w = 5m − 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.
The age of Wilson and Mary will be 10 and 4. Then the point of intersection will be (10, 4). Then the correct option is 1.
The missing options are
w = 10 and m = 4
w = 4 and m = 10
w = 5 and m = 9
w = 9 and m = 5
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Wilson is 6 years older than Mary.
Wilson's age is 10 years less than five times Mary's age.
The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6 ...1
w = 5m - 10 ...2
By solving the equations 1 and 2, we have
w = 10 years and m = 4 years
The point of intersection will be (10, 4).
The graph is given below.
Then the correct option is 1.
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I need help on this question please. It is non graded.
The area of a rectangular garden is given by:
A= width*length
So:
A= (5x-8)*(3x+4)
A= 15x²+20x-24x-32
A= 15x²-4x-32
Answer: second option
Find the area of this paralelogram or shape pls easy
The area of the given parallelogram will be 6.5 square cm.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.
Given that the measure of the parallelogram is,
a = 7 cm
b = 6 cm
h = 1 cm
The area of the parallelogram is calculated by the formula given below as,
Area = (1/2) ( a + b ) x h
Area = (1/2) ( 7 + 6 ) x 1
Area = 6.5 square cm
Therefore, the parallelogram will have an area of 6.5 square cm.
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How many milligrams are equal to 3.06 grams?
Answer:
1gm=100mg
3.06gm=306mg
Step-by-step explanation:
please give me brainlest and follow me on
Examine the diagram.
What is the m<1?
O 21°
O 42°
O 71°
O 82 °
Answer:
O 21 your ita not correct
If the perimeter of square garden is 84 feet what s the area of the garden
Answer:
441
Step-by-step explanation:
Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441
Answer:
441 feet
Step-by-step explanation:
4 times s is how you find the perimeter of a square so we can put this in an equation
4s=84
/4. /4
s=21
Now to find area we multiply side by side or side squared
21x21
441
Hopes this helps please mark brainliest
Explain, How hypothesis test is perform using statistics procedure?
Answer:
There is 5 main steps.
Step-by-step explanation:
Each Null Hypothesis is stated.
Define the Alternate Assumption.
Set degree of importance
Determine the statistics for the evaluation and the accompanying P-value.
A Hypothesis and summary drawing.
Gina had 30 minutes to do a three-problem quiz. She spent 9 9 10 minutes on question A and 5 3 5 minutes on question B. How much time did she have left for question C?
According to the information given, it is found that she has 15 minutes left for question C.
How is her total time divided?The total time is of 30 minutes.She spends 10 minutes on question A.She spends 5 minutes on question B.She spends x minutes on question C.The sum of the time for each question is the total time, which can be at most 30, hence:
\(10 + 5 + x \leq 30\)
\(15 + x \leq 30\)
\(x \leq 15\)
She has 15 minutes left for question C.
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From the information in the question, 15 minutes was spent on question C.
Equation
An equation is used in mathematics to describe problems. Typically, a problem is solved when sentences can be translated into equations.
From the question, we can see that;
10 minutes was spent on question A5 minutes was spent on question CThe time spent on question C is obtained from;
10 + 5 + x = 30
x = 30 - (10 + 5)
x = 15
Hence, 15 minutes was spent on question C.
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2.6x 0.47 pls show your work I need help
Answer:
2.6 x 0.47 = 1.222
Step-by-step explanation:
What is the measure
Pls help i will give brainliest
Picture included
I have a bunch more questions im sorry i just haveva F in math and need help!
Answer:
option I
Step-by-step explanation:
Option I 168 yd²
The surface area =168 yd²
I hope it helped you
Here's a graph of a linear function. Write the
equation that describes that function.
xpress it in slope-intercept form.
Answer:
the slope intercept form is y = (1/2)x - 1
Step-by-step explanation:
The slope-intercept form is, y = mx + b
We see from looking at the graph that,
at x = 0, y = -1
So, from this we find that b = -1
at x = 2, y = 0,
now, we find the slope m,
using,
\(m = \frac{y_{2} -y_1}{x_2-x_1}\)
Using x_2 = 2, y_2 = 0,
x_1 = 0, y_1 = -1, we get,
m = (0-(-1))/(2-0)
m = 1/2
So, the slope intercept form is,
y = (1/2)x - 1
What is the perimeter of this figure?
6x+6
6x+10
4x+6
4x+8
Answer: 4x+8
Step-by-step explanation:
Okay since the area for the block is X, two numbers multiplied together is X.
Since the big block has an area of X^2, then this shows the sides to be X.
This gives the sides of the block with area X to be 1 and X.
Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8