x=4
Explanation
\((x-4)(x-4)=0\)Step 1
solve for x means you have to find one or more values for x that satisfies the equality, so
\(\begin{gathered} (x-4)(x-4)=0 \\ (x-4)^2=0 \end{gathered}\)so, to make the left side equal to zero
\(\begin{gathered} (x-4)^2=0 \\ square\text{ root in both isdes} \\ \sqrt{(x-4)^2}=\sqrt{0} \\ x-4=0 \\ \text{add 4 in both sides} \\ x-4+4=0+4 \\ x=4 \end{gathered}\)therefore, the answer is
x=4
I hope this helps you
solve for x using distributive property
2(x+7)=13
and
5(x-7)=17
Answer:
x= −1/2, x=52/5
Step-by-step explanation:
2(x+7)=13
(2)(x)+(2)(7)=13(Distribute)
2x+14−14=13−14
2x=−1
2x/2=−1/2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
5(x−7)=17
(5)(x)+(5)(−7)=17(Distribute)
5x+−35=17
5x−35=17
5x−35+35=17+35
5x=52
5x/5=52/5
The dimensions of a rectangular prism are shown in the diagram. 8 in 24 in 16 in What is the length of the diagonal? Round your work to the nearest tenth 0 28.8 in 29.9 in O 315 in 0 320 in
Given:
Length of the prism, L =
A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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A box contains 2 green balls, and 8 yellow balls. Zoe reaches into the box and grab a green ball. Express the probability as a decimal.
Answer:
2.7
Step-by-step explanation:
What is 2308208*12-12038928=
Answer:
15,659,568
Step-by-step explanation:
To calculate the expression 2308208 * 12 - 12038928, we can follow the order of operations (PEMDAS/BODMAS):
1. Multiply: 2308208 * 12 = 27698496
2. Subtract: 27698496 - 12038928 = 15659568
Therefore, 2308208 * 12 - 12038928 equals 15,659,568.
What are the solutions of the equation? X^2-16/25=0
x= 4/25 and x =-4/25
x = 8/25and x =-8/25
x = 16/25and x = -16/25
X =4/5 and x=-4/5
Answer:
x=4/5 ,x=-4/5
Step-by-step explanation:
Equation:
x²-16/25=0
x²=16/25
x=+-√16/25
x=+-4/5
Note:if you need to ask any question please let me know.
Let f(x) = 4x + 1 and 9(x) = -23f(g(-2))signments
Answer:
17
Explanation
Given the functions
\(\begin{gathered} f(x)=4x+1\text{ } \\ g(x)\text{ = }-2x \end{gathered}\)Required
f(g(-2))
First we need to get f(g(x));
\(\begin{gathered} f(g(x))\text{ = f(-2x)} \\ f(-2x)\text{ = 4(-2x) +1} \\ f(-2x)\text{ = -8x + 1} \\ f(g(x))\text{ = -8x+1} \end{gathered}\)Next is to substitute x= -2 into the resulting function;
\(\begin{gathered} f(g(-2))=-8(-2)\text{ +1} \\ f(g(-2))\text{ = 16 + 1} \\ f(g(-2))\text{ =17} \end{gathered}\)Hence the value of f(g(-2)) is 17
What is 6 times 3/4 ?
Answer:
4.5
Step-by-step explanation:
Answer:
it is 9/2
Step-by-step explanation:
soo uhhh first cancel out two
so it becomes 3 (3/2) then it equals to 9/2
The distance remaining to a destination after t minutes is given by d(t)=252−0.75t , measured in miles. The graph of d(t) is shown. After how many minutes is the destination reached?
By solving the linear equation d(t) = 0, we will see that they will reach the destination after 336 minutes.
After how many minutes is the destination reached?We know that the remaining distance after t minutes is modeled by the linear equation:
d(t) = 252 - 0.75*t
The destination will be reached when the remaining distance is equal to zero, so we just need to solve the linear equation:
d(t) = 0
Then we have:
252 - 0.75*t = 0
Solving this for t, we get:
252 = 0.75*t
252/0.75 = t
336 = t
Which means that the destination is reached after 336 minutes.
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Which expression is equal to the distance between –5 and 8 on the number line?
A. |–5| + 8
B. |–5| – 8
C. –5 + |8|
D. –5 – |–8|
Hello! Please check the image attached to see the question!
To solve this question, we must break down the question into different scenarios.
The speed expression for the first rider is:
\(\begin{gathered} s=\frac{d}{t} \\ \text{let us make the distance the first rider covers as y.} \\ d=y\text{ miles} \\ t=3\text{ hours.} \\ s_1=\frac{y}{3} \end{gathered}\)The speed expression for the second cyclist:
\(\begin{gathered} s=\frac{d}{t} \\ the\text{ first rider covered a distance of y miles, the remaining distance } \\ \text{left for the second cyclist to cover is:} \\ (108-y)\text{miles at the same time of 3 hours.} \\ s_2=\frac{108-y}{3} \end{gathered}\)Since one cyclist cycles 3 times as fast as the other:
It is expressed thus:
\(\begin{gathered} s_1=3\times s_2 \\ s_1=3s_2 \end{gathered}\)Now substitute the values for the speed expression into the expression above, we will have:
\(\frac{y}{3}=3\times(\frac{108-y}{3})\)By solving the above expression, we will get the value of y (part of the distance travelled) and we can get the speed of the faster cyclist.
\(\begin{gathered} \frac{y}{3}=\frac{324-3y}{3} \\ y=324-3y \\ y+3y=324 \\ \end{gathered}\)\(\begin{gathered} 4y=324 \\ y=\frac{324}{4} \\ y=81\text{ miles.} \\ \\ So\text{ the speed of the faster cyclist will be:} \\ _{}=\frac{y}{3} \\ =\frac{81\text{ miles}}{3\text{ hours}} \\ =27mi\text{/h} \end{gathered}\)The speed of the faster cyclist is 27 mi/h.
Use the table to find the products od the two polynomials. Write your answer in descending order l.
Answer:
To use the given table to find product of the two polynomials.
Given that,
\((x^2+x-2)(4x^2-8x)\)Explanation:
Using the table, we get it as,
we get,
\((x^2+x-2)(4x^2-8x)=4x^4-8x^3+4x^3-8x^2-8x^2+16x\)\(=4x^4-4x^3-16x^2+16\)we get,
\((x^2+x-2)(4x^2-8x)=4x^4-4x^3-16x^2+16\)Answer is:
\((x^2+x-2)(4x^2-8x)=4x^4-4x^3-16x^2+16\)
The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.
If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.
Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.
For the given data:
Mean (μ) = 269 days
Standard deviation (σ) = 17 days
To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.
To find the z-score for the 1% percentile (lower bound):
z1 = Φ^(-1)(0.01)
Similarly, to find the z-score for the 99% percentile (upper bound):
z2 = Φ^(-1)(0.99)
Now, we can calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:
lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days
upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days
Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.
Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:
Mean of sample means (μ') = μ = 269 days
Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229
To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').
Now, calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:
lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days
upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days
Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
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In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answer:
Step-by-step explanation:
Using the approximation 3.14 for (pie symbol , what is the radius of a circle with a circumference of 59.7
m?
Do beavers benefit beetles? Researchers laid out 23 circular plots, each 4 meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so that beetles prefer them. If so, more stumps should produce more beetle larvae. The table contains the data 2 213 3 4 3125 10 30 12 24 36 40 43112756 18 40 2 1 2 2 11 4 12 1 25 8 2114166 5491314 50 13 Stumps Beetle larvae 4 Stumps Beetle larvae To access the complete data set, click the link for your preferred software format Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! Analyze these data to see if they support the "beavers benefit beetles" idea. Follow the four-step process in reporting your work STATE: Choose the statement that best describes the goal of the research. The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce a decrease in the response variable, the number of beetle larvae. The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae. Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce a decrease in the response variable, the number of tree stumps. Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce an increase in the response variable, the number of tree stumps. PLAN: Make a scatterplot of the data and examine the pattern. Choose the statement that best describes your findings: There is a weak negative linear relationship The relationship doesn't seem to be linear There is a positive linear relationship. There is a strong negative linear relationship SOLVE: Calculate the correlation for the data. Also calculate the slope and intercept of the regression line. Drag the correct answers to the appropriate bins Correlation Slope Intercept Answer Bank 1.286 11.89 0.839 1.661 0.916 3.452 -0.916 -1.286 CONCLUDE: Calculate the fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps. Enter your answer as a decimal rounded to three decimal places Which of the choices correctly describes whether the association supports the idea that beavers benefit beetles? Yes, the weak negative association supports the idea that beavers benefit beetles. Yes, the strong positive association supports the idea that beavers benefit beetles No, the strong negative association does not support the idea that beavers benefit beetles There is not enough information to tell No, the strong positive association does not support the idea that beavers benefit beetles.
.No, the strong negative association does not support the idea that beavers benefit beetles.
The solution is as follows:
The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.
There is a weak negative linear relationship.
Correlation is : -0.916; Slope: -1.286; Intercept: 3.452
The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.
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An AP has first term as 3 and Common difference of 2 how many terms are needed to make the sum to 99
Answer:
9
Step-by-step explanation:
The \(n\)term is \(2n+1\).
\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)
The number of terms that needed to make the sum to 99 is 9
The first term of the arithmetic progression = 3
The common difference = 2
The sum of n term is = (n/2) [2a+(n-1)d]
Where a is the initial term
d is the common difference
Substitute the values in the equation
(n/2) [2(3)+(n-1)2] = 99
(n/2) [6 + 2n - 2] = 99
(n/2)[4+2n] = 99
n(2 + n) = 99
2n + \(n^2\) = 99
\(n^2\) + 2n - 99 = 0
Split the terms
\(n^2\) - 9n +11n - 99 =0
n(n -9) + 11(n - 9) = 0
(n + 11)(n - 9) = 0
n = -11 or 9
Since n cannot be a negative number, therefore n = 9
Hence, the number of terms that needed to make the sum to 99 is 9
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PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer: yes under these condition many traingles can be formed.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Only a unique triangle can be formed im pretty sure
convert into trinomial (0.6+2x)^2
Answer:
0.36 + 2.4x + 4x^2
Step-by-step explanation:
trinomial means in the format ax^2+bx+c
so in this case we just multiple
(0.6+2x)(0.6+2x) use FOIL (First Outer Inner Last
First: 0.6*0.6 = 0.36
Outer: 0.6*2x = 1.2x
Inner: 2x*0.6 = 1.2x
Last: 2x*2x = 4x^2
put them together 0.36+1.2x+1.2x+4x^2
simplify like terms 0.36+2.4x+4x^2
Hope this helps! :)
Which expression best estimates-18-
-181-232
O 18+3
O-18+3
O-18+(-3)
O 18+(-3)
Answer:O 18+3
O-18+3
O-18+(-3)
Step-by-step explanation:O 18+3
O-18+3
O-18+(-3)
Which of the following best describes DG?
E
G. F
D
A. Perpendicular bisector
B. Altitude
C. Angle bisector
D. Median
Answer:
I think its option D. MEDIAN
The segment DG in the given triangle describes as Altitude.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given that,
A triangle DEF.
Now, Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.
Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.
Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.
Median is the line segment joining the vertex with the mid point of the other side.
Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.
So it is altitude.
Hence the given segment is altitude.
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How many milliliters is 719.01 liters?
Answer:
719010
Step-by-step explanation:
2 triangles are shown. The first triangle has side lengths 15, 15, and 21. The second triangle has side lengths 20, 20, x. What value of x will make the triangles similar by the SSS similarity theorem? x =
Answer:
x=28
Step-by-step explanation:
saw it on another question similar to yours
Answer :
The answer is correct X=28
Step-by-step explanation:
verified it on edge got it correct .
PLZ HELP IM TIMEDDDDDDDDDDDDD Which values of a, b, and c correctly complete the division?
1/4 divided by 5/6=1/a x b/c
Answer is:
a=4, b=6 c=5
pls give me some examples thank you!
DIRECTION: Look around your kitchen and draw at least two real objects that are plane figures and two real object that are solid figures. Put your drawings on the boxes provided below.
Solid Figures;
Plane figures;
Answer:
solid figure: refrigeration
plane figure: table
Answer:
A plane figure is a geometric figure that has no thickness. It lies entirely in one plane.
A solid figure is a three-dimensional (3D) shape or geometric figure that has length, width and height.
Plane figure
Place mat (rectangle)
Dish cloth (square)
Plate (circle)
Solid figure
Can of food (cylinder)
Washing sponge (cuboid)
Orange (sphere)
Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The discount on new camera bought by Amelia = 30%.
To find the number that Amelia should multiply to pay,
Let The required number be x,
and total price of the camera is 100%
So after discount the price of camera = 100 - 30 = 70%
Implies that,
100 × x = 70
x = 70 / 100
x = 7 / 10
So the required number is 7/10 that Amelia should multiply the price she would have to pay.
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A beaded necklace is 24 inches long. If each bead is 3/4 of an inch long, how many beads are in the
necklace?
Answer:
18
Step-by-step explanation:
what does b equal b=____
9514 1404 393
Answer:
b = 90°
Step-by-step explanation:
Angles a, b, c form a linear angle, so their sum is 180°. This means ...
a + b + c = 180°
b = 180° -(a +c)
Angles 'a' and 'c' are complementary, so their sum is 90°.
b = 180° -90°
b = 90°
__
We can also find the measures of the other angles in this geometry.
a = 90° -c = 90° -56° = 34°
e = c = 56° . . . . . . . . . vertical angles
In summary, ...
a = 34°, b = 90°, c = 56°, d = 124°, e = 56°
In a wood there are 420 silver birch trees 130 oak trees and 210 wild cherry trees. What percentage of the trees are oak trees? Give your answer to 1 dp
Answer:
17.1%
Step-by-step explanation:
To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:
\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)
Therefore, approximately 17.1% of the trees in the wood are oak trees.
Answer:
17.1%
Step-by-step explanation:
In order to calculate the percentage of trees that are oak trees, we can use the following formula:
\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)
We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.
Substituting these values into the formula, we get:
\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)
Therefore, 17.1% of the trees in the wood are oak trees.
lukes house is located at the point shown on the coordinate grid. kyles house is located 4 units left and 2 units up from lukes house plot a point on the coordinate grid to represent the location of kyles house.
The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.
The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.
If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).
Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.
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