Answer:
50
Step-by-step explanation:
So you can think of this by grouping it like this:
(1-2) + (3-4) + (5-6) + ... + (97-98) + 99
which is equal to: (-1) + (-1) + (-1)... + (-1) + 99
(each group is equal to -1, and 99 won't have a pair since it's the last one)
then, find how many groups of -1 there are:
the groups start at 1 and end at 98, but there are two in each group, so 98/2 = 49. this means there are 49 groups.
so now, you know that there are 49 -1s, so 49 * (-1) = -49.
finally, you can't forget the extra 99 that didn't have a pair, so -49 + 99 = 50.
Find the length of side BC.
Give your answer to 3 significant figures
Answer:
[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]
Step-by-step explanation:
Given:θ = 71°
Adjacent = AB = 6.3 cm
Required:Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]
easy problem for you guys to solve
In the ΔIJH, the value of the cosec (I) is [tex]1\frac{9}{56}[/tex].
Given ΔIJH the length of the hypotenuse is 65, the length of the base is 33, and the length of the opposite side is 56.
We have to find the value of the cosec (I).
A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.
We know cosec (I) = hypotenuse / opposite side
Substitute the values
cosec (I) = 65/56
= [tex]1\frac{9}{56}[/tex]
Hence the value of cosec (I) is [tex]1\frac{9}{56}[/tex].
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Question 1 of 10
What is the volume of the cylinder below?
A.
168 units3
B.
378 units3
C.
252 units3
D.
288 units3
The volume of the cylinder shown below is 252πcm³
Volume of a cylinderThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where:
r is the radius
h is the height
Given the following
radius = 6 units
height = 7 units
Substitute
V = πr²h
V = π(6)²(7)
V = 252πcm³
Hence the volume of the cylinder shown below is 252πcm³
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simplify 6e × 2f please help
Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land. Which of the following represents the number of peanuts (x) he could plant on 8,500 square metres of land? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000 Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land . Which of the following represents the number of peanuts ( x ) he could plant on 8,500 square metres of land ? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000
The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg
What is unitary method?"It is a method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A farmer can plant 45 kg of peanuts on 4,000 square meters of land.
Using unitary method,
[tex]\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89[/tex]
This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.
We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.
Here, 1 kg = 88.89 square meters
x kg = 8500 square meters
[tex]\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg[/tex]
Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg
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i need the missing blank....
If the size of a storage box is 50 cm by 10 cm by 20 cm. What is the volume of the box?
Answer:
l×b×h
50×10×20
10000cm^3
Step-by-step explanation:
please mark me as brainlest
Answer:
10000 cm³
Step-by-step explanation:
Volume of rectangular box:
To find the volume of box, multiply the length, width and height of the box and its unit is cubic units
[tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]
= 50 * 1 0 * 20
= 10000 cm³
a tank 2m tall stands on the top of a concrete pillar. From point P on the same horizontal ground as the foot of the pillar, the angles of elevation of the top T and bottom B of the tank are 49 degress and 42 degrees respectively. Calculate correct to one decimal place the height of the pillar
Answer:
2
[tex]3 \times 3[/tex]
I need help with this please. Brainliest to person who answers first. Its worth 12 points.
Question is in attachment.
Answer:
54x + 36
Step-by-step explanation:
Simplify:
First open the brackets by multiplying each term by 7.
5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6
= 5x - 6 + 49x + 42
= 5x + 49x - 6 + 42
Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)
= 54x + 36
Answer:
54x +36
Step-by-step explanation:
5x - 6 + 7(7x+6) multiply
5x -6 +49x+42 add like terms
54x + 36 that's the answer
28. Think About a Plan Draw AABC. Construct another
triangle so that the three sides of AABC are the
midsegments of the new triangle.
. Can you visualize or sketch the final figure?
• Which segments in your final construction will be
parallel?
DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.
The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.
Hence, DE is the segment parallel to side B.
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The price of a pack of kitchen rolls is reduced by 1/6
The new price is £1.20
Work out the original price.
Answer: 1.44
Step-by-step explanation:
(original price) - (1/6 of the original price) = 1.20
If you let x = original price, then the equation is:
x - 1/6 x = 1.20
5/6 x = 1.20
x = 1.44
the original price is £1.44.
Credits to the person who also answered :)
I hope this helps!
Answer:
£1.44
Step-by-step explanation:
Since the original price was reduced by 1/6, that means the new price is 5/6 of the original price.
Let x = original price.
Write an equation and solve it.
5/6 x = £1.20
x = £1.20 × 6/5
x = £1.44
The line y = 2x intersects the line y = x + 6 at the point A. Find the equation of the line that passes through A and has gradient 3
Answer:
Step-by-step explanation:
22.
(05.07 MC)
The table shows the values of y for different values of x:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)
There is no relationship between x and y.
There is a weak negative relationship between x and y.
There is a strong positive relationship between x and y.
There 22.
(05.07 MC)
The table shows the values of y for different values of x:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)
There is no relationship between x and y.
There is a weak negative relationship between x and y.
There is a strong positive relationship between x and y.
There is a strong negative relationship between x and y.
The option fourth "There is a strong negative relationship between x and y" is correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
The options are:
There is no relationship between x and y.There is a weak negative relationship between x and y.There is a strong positive relationship between x and y.There is a strong negative relationship between x and y.We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
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this is really confusing please help
Step-by-step explanation:
you don't know the meaning of
[tex]y = {h}^{ - 1} (x)[/tex]
it means it is the inverse function to h(x).
the regular function assigns an y value to every x value.
the inverse function now turns this around and finds for a given y value the original x value.
so, the inverse function is easier understood, if we would write it
[tex]x = {h}^{ - 1} (y)[/tex]
but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).
just, the understanding of an inverse function is a I just described it.
that means for the points, simply x and y values trade places.
the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).
and the point (3, 2) turns into (2, 3).
so, move the 2 green dots to these coordinates.
Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. As the sample size n increases, what happens to the shape of the distribution of the sample mean?.
As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.
What is simple random sampling?With simple random sampling, each component of the population has an equal chance of being selected for the sample.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.
As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.
Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.
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Someone help asap pls!! Ill mark you brainliest
Answer:
d.
Step-by-step explanation:
The parent graph is shifted right 2 and down 2
Determine the measure of each indicated angle.
Answer:
∠ABC = 52°
∠BCA = 48°
∠CAB = 80°
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180.
13x² + 12x² + 20x² = 180
Combine like terms,
45x² = 180
x² = 180 ÷ 45
x² = 4
x = √4
x = ± 2
x = 2 ; -2
∠ABC = 13x² = 13*4 = 52°
∠BCA = 12x² = 12 *4 = 48°
∠CAB = 20x² = 20 *4 = 80°
The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²
The angles will be calculated as follows:-
13x² + 12x² + 20x² = 180
45x² = 180
x² = 4
x = ±2
The angles will be:-
∠ABC = 13x² = 13 x ( 2² ) = 52
∠ACB = 12x² = 12 ( 2² ) = 48
∠CAB = 20x² = 20 ( 2² ) = 80
Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.
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The water was pumped out of a backyard pond what is the domain of the graph that 70 time 6
The domain of the given graph is the set of all real numbers from 0 to 8.
How to find the domain of a Graph?The graph showing the water depth on the y-axis in inches against the time in minutes on the x-axis has been attached.
Now, domain is the set of all possible input values and from the graph we see that the set of all possible input values are between 0 and 8.
Thus, we can conclude that the domain of the given graph is the set of all real numbers from 0 to 8.
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please I need the answer :-)
Answer:
Step-by-step explanation:
A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
This assumes that the question was meant to read:
"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters." And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."
If the revision is correct, the perimeter is 11x + 1 cm
=============================================
If the question was correctly written, then answer is:
50x^2 - 50x + 9y^2 + 12 y + 29
===============
Step-by-step explanation:
(7x-4) cm
+ (x+3) cm
+ (3x+2) cm
11x + 1 cm
If the question was correctly written as is, then:
(7x-4)(7x−4) = 49x^2 - 56x + 16
+(x+3)(x+3) = + x^2 + 6x + 9
+(3y+2)(3y+2) = +9y^2 + 12 y + 4
50x^2 - 50x + 9y^2 + 12 y + 29 cm
The perimeter of triangle 8x+ 3y + 1.
What is Perimeter of Triangle?The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.
The basic formula used to calculate the perimeter of a triangle is:
Perimeter = sum of the three sides
Given:
sides of triangle (7x-4) centimeters, (x+3) centimeters, and (3y+2).
Now, perimeter of triangle
= 7x-4 + x+ 3 + 3y+ 2
=8x + 3y + 5-4
=8x+ 3y + 1
Hence, the perimeter of triangle 8x+ 3y + 1.
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What are the domain and range of f(x) = 2x - 41?
O domain: x < 2; range: (-00,00)
O domain: (-00,00); range: f(x) > 0
O domain: (-0,00); range: f(x) ≤0
O domain: x ≥ 2; range: (-00,00)
Answer:
X intercepts (41/2, 0), Y intercepts (0, -41)
Step-by-step explanation:
I hope this helps, if it doesn't then just message me, and ill be more than happy to help :)
The domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of values that we are allowed to plug into our function.
This set is the x values in a function such as f(x).
The range of a function is the set of values that the function assumes.
The function f(x) = 2x - 41 is a linear function.
As a linear function, the domain is all real numbers, and the range is also all real numbers.
So the domain is (-∞,∞) and range is (0,∞)
Hence, the domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).
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is 1 − 3x2 = -y linear
No. Because the x is raised to the 2nd power the equation is not linear.
Find two integers whose sum is 2 and product is -3
Answer: -1+3=2 and -1×3=-3
Step-by-step explanation:
This is the best answer I could give. I hope this helps!! :)
I need help with dis math problem (img included)
Answer:
4500 sec
Step-by-step explanation:
1hr 15min= 75 min
75 x 60=4500
The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Part 1 and has 4, x, and 4 x. The second row shows Part 2, and has, 5, 0.7 minus x, and 5 left-parenthesis 0.7 minus x right-parenthesis.
x = 0.7 – x
x + (0.7 – x) = 1
4x + 5(0.7 – x) = 1
4x + 5(0.7 – x) = 3
The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Total distance covered = 3 miles.
The first part walked at the rate of 4 miles per hour.
Let us consider x hours was walked in the first part.
Total distance covered in x hours at the rate of 4 miles per hour will be 4x.
Now, the Second walk rate with meeting with friend will be 5 miles per hour.
The Total time is taken = 0.7 hours.
Therefore, time is taken in the second walk only = (0.7 - x) hours.
Distance covered in second walk = 5 (0.7 - x).
Total distance covered = distance covered in the first part + distance covered in the second part.
4x + 5 (0.7 - x) = 3 miles.
Hence, correct option is D; 4x + 5(0.7 – x) = 3.
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Answer:
its d
Step-by-step explanation:
What is the range of possible sizes for side x?
I dont need a long answer
Answer:
1.3 < x < 6.7
Explanation:
Given two sides of a triangle: 2.7 and 4.0
If 'x' will be the largest side:
third side < sum of two sidesx < 2.7 + 4.0x < 6.7If 'x' will be smallest side:
third side > difference between two sidesx > 4.0 - 2.7x > 1.3Hence range of possible size: 1.3 < x < 6.7
A rectangular sheet of metal is 66cm x 12cm and rolled into a cylinder with height 12cm
Find the volume.
Answer:
4158cm cubed. Hope this helped!
Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17.5°C.
Answer:
-5.5°C > -17.5°C
Step-by-step explanation:
Since -5.5 is larger than -17.5
The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].
To understand why this symbol is used, let's compare the two temperatures.
The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].
Since -5.5 is greater (warmer) than -17.5, use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].
Here's a step-by-step explanation:
Begin by comparing the numerical values of the temperatures: -5.5 and -17.5.Since -5.5 is a higher value (closer to 0) compared to -17.5, it means that Moscow's temperature is warmer than Cold Lake's temperature.The ">" symbol is used to represent "greater than" in an inequality statement.By using the ">" symbol, we express that [tex]-5.5^{\circ}C[/tex] is greater (warmer) than [tex]-17.5^{\circ}C[/tex].In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.
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helpppp! i need to find general form and standard form, pleaseee HELP MEEE!)!#*(_
The general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
How to determine the equations?From the graph, we have the following points
(x,y) = (5,6) and (-3,-7)
Start by calculating the slope:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{-7 - 6}{-3 - 5}[/tex]
Evaluate the differences
[tex]m = \frac{-13}{-8}[/tex]
Evaluate the quotient
[tex]m = \frac{13}{8}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = \frac{13}8(x - 5) + 6[/tex]
Multiply through by 8
8y = 13(x - 5) + 48
Open the bracket
8y = 13x - 65 + 48
Evaluate the like terms
8y = 13x - 17
Subtract 13x from both sides
-13x + 8y = -17
Multiply through by -1
13x - 8y = 17 ---- this represents the standard form
Subtract 17 from both sides
13x - 8y - 17 = 0 --- this represents the general form
Hence, the general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
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PLS HELP ME
Mike invested $29,000 at 7.24% compounded daily.
What will Mike's account balance be in 21 years?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
where A is the final amount
P is the principal amount
r is the rate of interest
n is the number of times interest is charged in a year
t is the number of years
The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is
[tex]\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}[/tex]
= $69,131.44
Hence, Mike's account balance after 21 years is $69,131.44.
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