The value of the expression -13+√70 to the nearest tenth is -4.6
What is Arithmetic operation?Arithmetic operations involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
The expression -13+√70 comprises of addition of -13 and √70
The value of √70 is 8.4(to the nearest tenth).
Therefore the value of -13+√70
=-13+8.4
= -4.6( nearest tenth)
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I WILL NAME YOU THE BRAINLIEST IF YOU PLEASE HELP ME!
solve the system by graphing.
y = x + 2
2x - y = -1
Answer:
y = x + 2y = 2x + 1Set the two functions equal to each other to find the point where they intersect:
[tex]x+2=2x+1\\\\x-2x=1-2\\\\-x=-1\\\\x=1[/tex]
Plug the x-value in to find the corresponding y-value. It should be the same for both functions:
[tex]y=x+2=1+2=3\\\\y=2x+1=2(1)+1=2+1=3[/tex]
So, they intersect on (1, 3), as shown on the graph below.
Use a determinant to find the area of the triangle in R^2 with vertices (-4, -4), (0,-2), and (-2, 4) Hint: A triangle is half a parallelogram.
Area of the triangle in R² using determinant for the given vertices (-4, -4) , (0,-2) and (-2,4) is equal to 14 square units.
As given in the question,
Vertices of the triangle are given by:
( x₁ , y₁ ) = (-4,-4)
(x₂ , y₂) = (0, -2)
( x₃ , y₃) = (-2, 4)
Area of triangle using determinant is given by
= [tex]\frac{1}{2} \left|\begin{array}{ccc}-4&-4&1\\0&-2&1\\-2&4&1\end{array}\right|[/tex]
= (1/2) [-4(-2 -4) + 4(0+2) +1(0-4)]
=(1/2) ( 24 + 8 - 4)
= (1/2) ( 28)
= 14
Therefore, area of the triangle in R² using determinant for the given vertices (-4, -4) , (0,-2) and (-2,4) is equal to 14 square units.
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(b) Work out y when C = 88 and x = 0.5
Answer:
x+y=73, 1.5x+2y=1−8
lazyuser30
answer pls bc my teacher is going 2 fail me
Answer:
point C
Step-by-step explanation:
11. Ryan and Kathy each drew a triangle with an angle of 20 degrees. Under which condition would the
triangles be similar?
a) if both are right triangles
c) if the triangles have the same area
b) if both are obtuse triangles
d) if the triangles have the same perimeter
Answer:
a if both are right triangle
Step-by-step explanation:
if both are right triangles is the correct answer. Three sides and three angles together create a triangle. Here, Ryan and Kathy drew triangles with the same angle. We can say that two triangles are similarly based on certain rules.Ma
Emmet michael’s gross pay is $31,700. He takes a single exemption of $2,000. His state income tax rate is 4. 5%. How much will he pay in state income tax?.
The state income tax that should be paid by Emmet Michael's is $1,336.50.
Given,
In the question:
Emmet Michael's gross pay is $31,700.
He takes a single exemption of $2,000.
and, His state income tax rate is 4. 5%.
To find the how much will he pay in state income tax?
Now, According to the question;
The calculation of the state income tax paid by Emmet Michael is as follows:
= (Gross pay - exemption amount) × income tax rate
= ($31,700 - $2,000) × 4.5%
= $29,700 × 4.5%
= $1,336.50
Hence, we can conclude that the state income tax that should be paid by Emmet Michael's is $1,336.50.
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A train left Sheffield station at 6.30 am and
arrived at Tiverton station at 11.00 am.
The train travelled 243 miles in total.
What was the average speed of the train in
miles per hour (mph)?
If your answer is a decimal, give it to 1 d.p.
18. Choose the correct answer.
Which theorem or postulate could be used to prove the congruence of the pair of triangles?
Answer:
HL
Step-by-step explanation:
Since the two triangles are right triangles and have 2 sets of congruent sides, you can use the HL congruence theorem to prove that they are congruent.
**HL only works with right triangles
The amount y (in dollars) of
money you have left after
playing x games at a
carnival is y=-0.75x + 10.
How much money do you
have after playing eight
games?
Answer:
You will have 4 dollars left
Step-by-step explanation:
Assuming from the question, you start with 10 dollars. You lose 75 cents for each games. If you play 8 games, you multiply 0.75 by 8 to get 6. Then you subtract 6 from 10 to get your remaining money, which is 4 dollars
a process used to manufacture paint yields, on the average, 70 tons of paint each day. yields, however , vary from day to day due to changes in raw materials and plant conditions. suppose, it is established that the daily yields are normally distributed, and that the variability from one day to the other is more or less independent , and the standard deviation is 3 tons. because of increasing demand for this type of paint, certain modifications are suggested , and we are interested in estimating the mean yield of this modified process. how many sample observations do we have to obtain if we want to be 98% confident that our estimate is within 1 ton of the true, but unknown mean?
Using the Sample size formula , the sample manufactuer of paints observations or sample size is 22 ton .
Sample size: It is defined as the number of participants or total observations in a study of sample.
we have provided that,
standard deviations of sample (σ)= 3 tons
mean of sample ( X) = 70 tons
confidence level = 98% = 0.98
Margin of error (M.E) = 1 ton
Using the sample size formula,
n = z²(σ)(1-σ) /( M.E)²[1+σ (1-σ)z²/(M.E)²X]
where, X---> population size
s.d --> standard deviations
M.E ---> margin of error
Z-value for confidence level
so, z-value corresponding to 98% of confidence level is 2.32 ..
putting all the values in above formula we get, n = (2.32)²(2)3/(1)²(1+ (2.32)²(6)70×1)
=> n= 32.29/(1+(0.46))= 32.29/ 0.46
= 22.1 ~ 22
Hence, sample size is 22 ton .
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Is the absolute value of 3 less than, greater than, or equal to the absolute value of 7
Answer: 3 is less than 7, the absolute value of 3 is less than the absolute value of 7
Step-by-step explanation: Absolute value is how far a number is from 0. the best way to show absolute value is to test how far away the number is from 0 by using a number line. For example, the absolute value of -9 would be 9, or the absolute value of 5 would be 5. Absolute value is the amount of distance between the number and 0.
Hope this helps!
Please help! I don’t understand and this is due asap!
I need help from 39-53!!
Answer: -14
Step-by-step explanation:
5x+7
i need answer pls
Answer:
if all this equals with zero the answer is x= - 5/7
Step-by-step explanation:
IF it is 5x+7=0 =} 5x= -7=} x= - 5/7
Please helppp please help
Answer:
a. parallel b. neither c. neither d. perpendicular
Step-by-step explanation:
Find the gradient of the line in the graph
Choose 2 coordinates, I choose (0,1) and (3,3)
Use the formula
(y2 - y1)/(x2 - x1)
(3 - 1) / (3 - 0)
2/3
Gradient of a parallel line is the same
Gradient of a perpendicular line formula m1m2 = -1
(2/3)m2 = -1
m2 = -3/2
The gradient of the perpendicular line will be -3/2
The gradient of the parallel line will be 2/3
Any other gradient will be neither parallel nor perpendicular.
Find the missing values in the ratio table. Then write the equivalent ratios. Burgers 3 9 hot dogs 5 10 the equivalent ratios are $3:$ , $:10$ , and $:$.
The required ratio for the burger is 3:6:9 and the ratio for the hot dog is 5:10:15.
Let the missing ratio in Burger be x and the ratio in the Hot dogs be y,
Now,
According to the question,
3 / 5 = x / 10
x = 6
Now,
x / 10 = 9 / y
Substitute the value of x,
6 / 10 = 9 / y
y = 90 / 6
y = 15
Thus, the required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.
In mathematics, a ratio suggests how commonly one variety consists of another. for example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to 6 (this is, eight:6, that's equal to the ratio four:3). similarly, the ratio of lemons to oranges is 6: 8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).
The numbers in a ratio may be quantities of any kind, consisting of counts of human beings or items, or which include measurements of lengths, weights, time, and many others. In maximum contexts, each number is constrained to be advantageous.
A ratio may be specified either by way of giving each constituting number, written as "a to b" or "a: b", or through giving simply the price of their quotient a/b. identical quotients correspond to the same ratios.
Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number inside the numerator and the second one in the denominator, or as the price denoted by using this fraction. Ratios of counts, given via (non-zero) herbal numbers, are rational numbers, and might occasionally be natural numbers. while portions are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of quantities that are measured with distinct devices is referred to as a rate.
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If f(x) is an exponential function where f(2)= 3 and f(10.5)= 96, then find the
value of f(16), to the nearest hundredth.
The value of f(16)=903.99, if f(x) is an exponential function where f(2)=3 and f(10.5)=96
What is meant by exponential function?The exponential function is a mathematical function that is represented by f(x)=exp or ex. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras. Although the exponential function was derived from the concept of exponentiation (repeated multiplication), modern definitions (there are several equivalent characterizations) allow it to be rigorously extended to all real arguments, including irrational numbers. Because of its prevalence in pure and applied mathematics, mathematician Walter Rudin called the exponential function the most important function in mathematics.
For exponential function,
f(x)= abˣ ; b>0, a, b ∈R
Given, f(2)=3
f(10.5)=96
Therefore, f(2)=ab²
3=ab²
a=3/b²
f(10.5)=a[tex]b^{10.5}[/tex]
96=a[tex]b^{10.5}[/tex]
a=96/[tex]b^{10.5}[/tex]
By equating a values then,
3/b²=96/[tex]b^{10.5}[/tex]
3[tex]b^{10.5}[/tex]=96b²
32=[tex]b^{10.5}[/tex]b⁻²
[tex]b^{8.5}[/tex]=32
b=[tex](32)^{1/8.5}[/tex]
Therefore, b=1.5034
a=3/b²
a=3/(1.5034)²
a=1.3273
f(16)=ab¹⁶
f(16)=(1.3273)(1.5034)¹⁶
f(16)=903.99
Therefore, the value of f(16)=903.99
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evaluate the integral. check your results by differentiation. (remember the constant of integration.) (3x3 1)69x2 dx
After evaluating the integral is [tex]69x^{6}/2 + 23x^{3} +C[/tex].
Given:
(3x3+1)69x2 dx
= 69[tex]x^{2}[/tex]*3[tex]x^{3}[/tex] + [tex]69x^{2}[/tex]
= 207[tex]x^{5}[/tex] + [tex]69x^{2}[/tex]
apply integration
= ∫ 207[tex]x^{5}[/tex] + [tex]69x^{2}[/tex]
= 207∫[tex]x^{5}[/tex] + 69∫[tex]x^{2}[/tex]
= 207*[tex]x^{6} /6[/tex] + 69*[tex]x^{3} /3[/tex]
= 69[tex]x^{6} /2[/tex] + [tex]23x^{3}[/tex] + C
Therefore After evaluating the integral is [tex]69x^{6}/2 + 23x^{3} +C[/tex].
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Alan added 3 fish to his pond each day for 21 days. What was the total change in the number of fish in the pond?
The total number of changes in fishes is 63
What is product of numbers?The product is the multiplication of two or more integers together. Assume their are two integers and , then their product will be obtained when we multiply both the numbers together. 9× 7 = 63 . For example if there are 10mangoes in 5 basket, the total number of mangoes is 5×10= 50mangoes
3 fishes were added for 21 days in a pond. This means that the total number of fishes added = 21×3= 63 fishes
Therefore the total number of changes in the pond is 63 fishes.
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Adela has 24 bracelets. She makes 3 more
each day.
Isaiah has 10 bracelets. He makes
5 more each day.
The equations represent
the number of bracelets y each person has after x days.
Adela: y = 3x + 24
Isaiah: y = 5x + 10
Use elimination to solve the system of equations.
What does the solution mean in the situation?
The solution of the system of equations is; (7, 45).
The solution in this situation means that after 7 days, Adela and Isaiah would each have 45 bracelets.
What is the solution of the system of equations?It follows from the task content that the solution to the system of equations is to be determined and interpreted accordingly.
Since the given equations are;
Adela: y = 3x + 24Isaiah: y = 5x + 10By elimination, we must subtract Isaiah's equation from Adela's so that we have;
(y - y) = (3x - 5x) + (24 - 10)
0 = -2x + 14
2x = 14; x = 7.
Consequently, y = 3 (7) + 24
y = 21 + 24; y = 45.
Consequently, the solution to the system of equations as given in the task content is; (7, 45).
This means that after 7 days, Adela and Isaiah would both have; 45 bracelets.
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5200 and his stock in Company B was worth $6450. The stock in Company A has decreased 3% since last year and the stock in Company B has decreased 6%. What was the total percentage decrease in the investor's stock account?
The total percentage decrease in the investor's stock account is 5%.
How to find the percentage decrease?Investment in stock A = 5200
Investment in stock B = 6450
Investment in stock A and B worth
5200 × (1- 0.03) = 5044
6450× ( 1- 0.06) = 6063
Total investment in both stock A and B now
5044 + 6063= 11107
Total investment in both stock A and B last year
5200 + 6450 = 11,650
Hence,
Total percentage decrease = 1 - (11,107 /11,650)
Total percentage decrease = 1 - 0.95
Total percentage decrease = 5%
Therefore 5% is the percentage decrease.
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how much for 19.35 to get to 25 ill give brainliest whoever answers first <3
The number remaining for 19.35 to get to 25 is 5.65.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both
In this case, the number remaining for 19.35 to get to 25 will be:
= New number - Old number
= 25 - 19.35
= 5.65
The number is 5.65.
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Help pls
2 Answers and I can make brainliest whoever has the correct answer
Answer:
6 kg
Step-by-step explanation:
The other guy is correct.
Kammi and Alejandro each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of wire.
a. Kammi needs 24 feet of wire. How much will she spend on wire?
b. Alejandro needs 13 yards of wire. How much will he spend on wire?
Answer: i think this is the same thing https://brainly.com/question/28965695?referrer=searchResults
if it is then theres ur answer
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x+y= 3. Fully simplify your answer.
The slope of the line perpendicular to the line whose equation is x+y = 3 is 1.
According to the question,
We have the following information:
The equation of the line:
x+y = 3
Now, we will convert this equation into the slope-intercept form:
y = -x+3
Now, slope of this line is -1.
Slope of the perpendicular line to this line = -1/m where m is the slope of the line
Slope of the perpendicular line to this line = -(-1)/1
Slope of the perpendicular line to this line = 1
Hence, the slope of the line perpendicular to the line whose equation is x+y = 3 is 1.
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our club has $25$ members, and wishes to pick a president, secretary, and treasurer. in how many ways can we choose the officers, if individual members may hold more than one office?
If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.
In the given question,
If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have to find how many ways can we choose the officers, if individual members may hold more than one office.
We have total 25 members.
Their have total 3 position president, secretary, and treasurer.
When the one position of president filled then their was left 24 member for the secretary position.
When the one position of secretary filled then their was left 23 member for the treasurer position.
So the possible ways to fill the position is find by multiplying the 25,24 and 23. So
Possible ways=25*24*23
Possible ways=13,800
Hence, if you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.
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A rectangle has a height to width ratio of 3:4.5. Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.
Answer:
6:8:10, 9:12:15
The diameter of a regulation soccer ball is about 8 3/5 inches. This number was graphed on a number line. Which point could he be the point representing the graph of the diameter of the ball
The number is in between 8 and 9 on the right side of the line.
The number line is a line composed of numbers from negative infinity to positive infinity.
This means all kinds of numbers, except imaginary numbers, are included including integers (whole numbers), rational and irrational numbers.
Positive numbers lie on the right side while negative numbers lie on the left side.
In this case, the first thing to do is to convert the fraction part of 8 3/5 to estimate its location in the number line.
So, 3/5 is equal to 0.6.
Thus, 8 3/5 = 8.6.
The number is thus in between 8 and 9 on the right side of the line that is a little more than the half between these numbers.
Hence the answer is the number is thus in between 8 and 9 on the right side of the line.
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how are literal equations similar to and different from equations in one variable
x+a=b x + a = b , where a,b are uncertain values. Although both can be solved similarly, the difference is that, in literal equations, the letters representing the amount of a numerical value do not always change; however, in a single-variable equation, the letters representing these
Answer:
x+a= b , where a,b are uncertain values. Although both can be solved similarly, the difference is that, in literal equations, the letters representing the amount of a numerical value do not always change; however, in a single-variable equation, the letters representing these can/may vary.
Step-by-step explanation:
x+a= b , where a,b are uncertain values. Although both can be solved similarly, the difference is that, in literal equations, the letters representing the amount of a numerical value do not always change; however, in a single-variable equation, the letters representing these can/may vary.
Line A is represented by the equation y=4x−6. How do these equations compare to line A?
The comparison of the linear functions to line A are given as follows:
y = 4x ± constant: parallel.y = -x/4 ± constant: perpendicular.y = x/4 ± constant: neither parallel nor perpendicular.When are lines parallel, perpendicular or neither?A linear function is defined as follows:
y = mx + b.
In which the coefficients are listed as follows:
m is the slope.b is the intercept.The slope determines if the lines are parallel, perpendicular, or neither, as follows:
If the slopes for both lines are equal, the lines are parallel.If the multiplication of the slopes of both lines is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the function is:
y = 4x - 6.
Hence the slope is of:
m = 4.
Then the functions, relative to y = 4x - 6, are classified as follows:
Parallel: slope of 4.Perpendicular: slope of -1/4, as 4 x (-1/4) = -1.Neither: any slope different of 4 and of -1/4.Missing InformationThe problem gives three lines with different slopes, and you have to define if they are parallel, perpendicular or neither parallel nor perpendicular.
The intercepts are not relevant and I couldn't find the problem on the internet, hence I say that they are constants.
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Melissa uses 3/5 as much water as Neil to water her plants. If Melissa uses 4 and 1/3 gallons of water, how much does Neil use?
The amount of water that Neil uses is 7.22 gallons
How to calculate the fraction?From the information, Melissa uses 3/5 as much water as Neil to water her plants and Melissa uses 4 and 1/3 gallons of water.
Let Neil be illustrated as x
Therefore, 3/5 × x = 4 1/3
0.6x = 4 1/3
0.6x = 4.33
Divide
x = 4.33 / 0.6
x = 7.22 gallons
Neil used 7.22 gallons.
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