We have to find the number of ones in 4 tens.
As we know that, there are 10 ones in a 10.
Therefore, in 4 tens, the total number of ones would be 1 x 4 x 10 = 40
7. What is the y-intercept for the equation 5x-2y = -4?
о
(0,-2)
(0,2)
(0, -1/3)
(0,4/5)
Answer:
(0, 2)
Step-by-step explanation:
What are the dimensions of the product?
[2 1 0] x [1 -1 2 -1 -2 1 0 1 1] =
The resulting vector has the same dimensions as the original, 1 x 3.
What is a matrix?A rectangular array of numbers, symbols, or expressions set up in rows and columns is known as a matrix. They are employed in a wide variety of mathematical disciplines and contexts, including calculus, statistics, physics, and engineering, as well as linear algebra. Matrices are an essential tool for solving systems of linear equations and representing linear transformations since they may be added, subtracted from, and multiplied by other matrices.
The matrix multiplication of [2 1 0] and [1 -1 2 -1 -2 1 0 1 1] is:
[2 1 0] x [1 -1 2 -1 -2 1 0 1 1] = [2(1) + 1(-1) + 0(2), 2(-1) + 1(-2) + 0(1), 2(0) + 1(1) + 0(1)]
= [2 -3 1]
Therefore, the product of the two matrices is a row vector [2 -3 1], which has the dimensions 1 x 3.
If we subtract 1 from each element of this row vector, we get:
[2 -3 1] - 1 = [1 -4 0]
So, the resulting vector has the same dimensions as the original, 1 x 3.
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1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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3x = 6+y
- 3х + y = -6
Answer:
x=2
y=0
hope its helpfull to uh...
Answer:
x=2 y=0
Step-by-step explanation:
The number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
Answer:
Step-by-step explanation:
Range is largest value - smallest value. 12-3=9! EZ
Find how much money needs to be deposited now into an account to obtain $9500 (future value) in 8 years if the rate is 2.5% per year compounded continuously. Round answer to 2 decimal places
The principal that needs to be deposited is $7916.67
What is simple interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
I = P× R×T/100
where P is the principal, R is the rate and T is the time
therefore;
9500 =P+I
I = 9500-P
9500-P = P × 2.5× 8/100
950000-100P = 20P
collect like terms
120P = 950000
P= 950000/120
P= $7916.67
Therefore the principal to be deposited is $7916.67
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Help I would appreciate it
Answer:
it is option C
hope it helps
97 And 83
differenciate the Function 1/ X3
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
Which is the domain and range of: f(x)=8x+7
Given the function, f(x) = 8x + 7:
Since it is a linear function, it doesn’t have any constraints or undefined points. Thus, the domain is all real numbers as x-values.
Domain: interval notation: (-∞, ∞)
Set notation: {x | x ∈ R}
The same goes for the range: all real numbers are valid as outputs (y-values).
Range: interval notation: (-∞, ∞)
Set notation: {y | y ∈ R}
Please mark my answers as the Brainliest if you find my explanations helpful :)
I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
The international club at school has 125 members, many of whom speak multiple languages, the most commonly spoken languages in the club are English, Spanish and Chinese.55 students speak Spanish30 students speak Chinese89 students speak English15 students speak Spanish and Chinese20 students speak Chinese and English33 students speak Spanish and English8 students speak allCreate a Venn Diagram
8 students speak all, so it is in the intersection of the three
15 speak Spanish and Chinese, but 15-8=7 do not speak English
20 speak Chinese and English, but 20-8=12 do not speak Spanish
33 speak Spanish and English, but 33-8=25 do not speak Chinese
55 speak Spanish, but 55-25-8-7=15, do not speak English or Chinese
30 speas chinese, but 30-12-8-7=3 do not speak English or Spanish
89 speak English, but 89-12-8-25=44 do not speak Spanish or Chinese
To end our diagram, we add
\(44+25+15+7+8+12+3=114\)Then 125-114=11 students don't speak English, Spanish or Chinese
Graph Linear equation y= -2x + 1/3
The graph of the function y = -2x + 1/3 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = -2x + 1/3
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of -2Shifted up by 1/3 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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On its own, 5 � � 5ab5, a, b is the product of
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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Find two square numbers that total 45
Ann has to make payments twice a year on her health insurance. If each payment is $2,316, how much money should she budget for health insurance each month? Round to the nearest dollar. A. $579 B. $386 C. $1,158 D. $193
Answer:
$386
Step-by-step explanation:
If Ann has to pay $2316 twice a year
(every 6 months), then, we calculate
$2316/6 = $386 every month.
Hence, Ann's budget for health
insurance each month is $386.
Hope it helps!
Please help
The water is 7 meters deep 2 meters from the shore.
How deep is the water 45 meter from
the shore?
Answer: 157.5
Step-by-step explanation:
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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How much property tax must be paid
each month when the property tax is
$1,176 a year?
Answer:
$98 a month
Step-by-step explanation:
1,176 divided by 12
A cylinder oil tank 8 foot deep hole it’s 580 gallons Winfield to capacity how many gallons remain in the tank on the depth of oil is 6 1/2 feet
Answer:
253.75
Step-by-step explanation:
Total height of the cylinder is 8 ft . Since the tank holds 580 gallons when filled to capacity so in 1 ft height there will be \frac{580}{8} gallons oil when filled to capacity .
What is the surface area
Answer:
156 cm²
Step-by-step explanation:
The surface area of a square pyramid is a² + 2al if a = the length of the side of the base of the pyramid and l = the height of each triangle. a would be equal to 6 in this case, since it is the length of the side of the base, and l would be 10 because it is the height of each triangle.
So, here's our expression:
6² + 2(6)(10) =
36 + 12(10) =
36 + 120 =
156
The surface area of the square pyramid is 156 cm². If this process doesn't make sense to you or if you'd like some further clarification, please let me know! :)
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α. n = 12, α = 0.01
Answer:
\(t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}\)
And is distributed with n-2 degreed of freedom. df=n-2=12-2=10
The significance level is \(\alpha=0.01\) and \(\alpha/2 = 0.005\) and for this case we can find the critical values and we got:
\( t_{\alpha/2}= \pm 3.169\)
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis: \(\rho =0\)
Alternative hypothesis: \(\rho \neq 0\)
The statistic to check the hypothesis is given by:
\(t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}\)
And is distributed with n-2 degreed of freedom. df=n-2=12-2=10
The significance level is \(\alpha=0.01\) and \(\alpha/2 = 0.005\) and for this case we can find the critical values and we got:
\( t_{\alpha/2}= \pm 3.169\)
Emily loves to read. She read 527 hours in 31 weeks. If she read an equal number of hours each week, how many hours did she read each week?
Answer: Emily read 17 hours a week.
Step-by-step explanation: Divide the number of hours by weeks. 527/31=17
Please help me !!!!!!!
Answer:
x = -3, -2, or 2
Step-by-step explanation:
In the graph, we can look along the line f(x)=6 and see where the function intersects, noting the x-coordinate of each value. We see that the coordinates with a y-value of 6 are (-3, 6), (-2, 6), and (2,6). This means that x can equal either -3, -2, or 2 when f(x)=6.
a man spends 1/9 of his salary on rent, 1/2 on food and 1/4 on clothes and other items. if he has GHC 195 left at the end of the month, how much does she earn.
Answer:
1404
Step-by-step explanation:
how to tell if a table is linear quadratic or exponential
y-values have constant first differences in a linear table,
y-values have constant second differences in quadratic table and
y-values have equal rations in exponential table.
To tell the difference between a linear, quadratic and exponential table we have to see the variation in y-values as the x-values increases by constant amount
Linear Function:
A function is said to be a Linear Function if it has either one or two variables without exponents
It is of the form: y = f(x) = px + q
It has one independent and one dependent variable.
The graph of a Linear function is a straight line.
Quadratic Function:
A function is said to be a Quadratic function is it of the form
f(x) = px^2 + qx + r
Graph of a Quadratic function is curve called a Parabola.
Exponential Function:
A function is said to be an exponential function if it is of the form
y = pq^x ,
where p is the initial value and q is the constant ratio.
Graph of Exponential function is steeper as the polynomial increases.
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Multiplying Monomials1) 2x^3y^3 * 3y^4 2) 3vu^2 * 3vu^23) yx^3 * x^3 * 3yx^4 4) 2x^2 y^2 * 4x^3 y^45) −8x^2(7x − 2)6) 5x(4x + 6)7) 2k(k − 1)8) −4m^4(5m − 8n)9) 8a^2(a^2 − 5a + 5)10) 5p(7p^2 + 9p − 7)
Solution
We want to mutiply
(1).
\(2x^3y^3\times3y^4=6x^3y^7\)(2).
\(3vu^2\times3vu^2=9v^2u^4\)(3).
\(yx^3\times x^3\times3yx^4=3x^{10}y^2\)(4).
\(2x^2y^2\times4x^3y^4=8x^5y^6\)(5).
\(-8x^2(7x-2)=-56x^3+16x^2\)(6).
\(5x(4x+6)=20x^2+30x\)(7).
\(2k(k-1)=2k^2-2k\)(8).
\(-4m^4(5m-8n)=-20m^5+32m^4n\)(9).
\(8a^2(a^2-5a+5)=8a^4-40a^3+40a^2\)(10).
\(5p(7p^2+9p-7)=35p^3+45p^2-35p\)another pls! lolllllll
Answer:
P = 126; A = 927
Step-by-step explanation:
Enlarging by a scale factor means multiplying each number by the given. 6 x 4.5 = 27; 8 x 4.5 = 36. 2(27) + 2(36) = 126; 27 x 36 = 927.
Answer:
Hey there!
Original Width: 6
New Width: 27
Original Length: 8
New Length: 36
Perimeter: 36+36+27+27, or 126
Area: 36(27), or 972.
Hope this helps :)
PLEASE HELP! THiS IS DUE!!!!!!!! I Will MAKE BRAINlST
Answer:
\(\mathrm{26.\qua\:H\quad\:2 \dfrac{ 1 }{ 4 }\qua\:mi}\)
\(\mathrm{27.\qua\:D\quad\: 9\dfrac{ 1 }{ 8 }\qua\:lb}\)
\(\mathrm{28.\qua\:H\quad\:14.6}\)
\(\mathrm{29.\qua\:C\quad\:25\%}\)
\(\mathrm{30.\qua\:J\quad\:33.912\qua\ ft^{3} }\)
Step-by-step explanation:
26.
\(\mathrm{\dfrac{ 3 }{ 4 }\:mile\:per\:one\:hour}\)
\(\mathrm{To\:find\:how\:far\:Jet's\:cousin\:can\:walk\:in\:3\:hours\:,\:we\:multiply\:\dfrac{ 3 }{ 4 }\:by\:3}\)
\(3 \times \dfrac{ 3 }{ 4 }\)
\(\mathrm{Express\: 3 \times \left( \dfrac{ 3 }{ 4 } \right)\:as\:a\:singe\:fraction}\)
\(\dfrac{ 3 \times 3 }{ 4 }\)
\(\mathrm{Multiply\:3\:and\:3\:to\:get\:9}\)
\(\dfrac{ 9 }{ 4 }\)
\(\mathrm{Convert\:\dfrac{ 9 }{ 4 }\:to\:a\:mixed\:number}\)
\(2 \dfrac{ 1 }{ 4 }\)
\(\mathrm{So\:she\:can\:walk\:2 \dfrac{ 1 }{ 4 }\:miles\:in\:3\:hours}\)
27.
\(\mathrm{Since\:we\:want\:to\:find\:how\:many\:pounds\:both\:pumpkins\:weigh\:together,\:we\:have\:to\:add.}\)
\(5 \dfrac{ 3 }{ 4 } +3 \dfrac{ 3 }{ 8 }\)
\(\mathrm{Turn\:both\:mixed\:fractions\:into\:improper\:fractions}\)
\(\dfrac{ 23 }{ 4 } + \dfrac{ 27 }{ 8 }\)
\(\mathrm{Least\:common\:multiple\:of\:4\:and\:8\:is\:8}\)
\(\mathrm{Multiples\:of\:4}:\quad4,8,12,16,20\)
\(\mathrm{Multiples\:of\:8}:\quad8,16,24,32,40\)
\(\dfrac{ 23 }{ 4 } + \dfrac{ 27 }{ 8 }\)
\(\mathrm{Convert\: \dfrac{ 23 }{ 4 } \:and\: \dfrac{ 27 }{ 8 } \:to\:fractions\:with\:denominator\:8}\)
\(\dfrac{ 23 \times 2 }{ 4 \times 2 } + \dfrac{ 27 }{ 8 }\)
\(\mathrm{Simplify}\)
\(\dfrac{ 46 }{ 8 } + \dfrac{ 27 }{ 8 }\)
\(\mathrm{Since\: \dfrac{ 46 }{ 8 }\:and\:\dfrac{ 27 }{ 8 }\:have\:the\:same\:denominators,\:add\:them\:by\:adding\:their\:numerators}\)
\(\dfrac{ 46+27 }{ 8 }\)
\(\mathrm{Add\:46\:and\:27\:to\:get\:73}\)
\(\dfrac{ 73 }{ 8 }\)
\(\mathrm{Convert\:\dfrac{ 73 }{ 8 }\:to\:a\:mixed\:number}\)
\(9 \dfrac{ 1 }{ 8 }\)
\(\mathrm{Both\:pumpkins\:weighed\:9 \dfrac{ 1 }{ 8 }\:pounds\:all\:together}\)
28.
Since the question is asking us "How many more miles did Alyce travel than Jason", we have to subtract the miles Jason traveled from the miles Alyce traveled.
\(29.193-14.593\)
\(\mathrm{Subtract\:14.593\:from\:29.193\:to\:get\:14.6}\)
\(14.6\)
\(\mathrm{Alyce\:traveled\:14.6\:more\:miles\:than\:Jason}\)
29.
For this question, we must find "10 is what percent of 40"
The equation for this is:
\(\dfrac{ 10 }{ 40 } \times 100\)
\(\mathrm{Simplify\: \dfrac{ 10 }{ 40 } \:to\: \dfrac{ 1 }{ 4 } }\)
\(\dfrac{ 1 }{ 4 } \times 100\)
\(\mathrm{Multiply\: \dfrac{ 1 }{ 4 }\:and\:100\:to\:get\: \dfrac{ 100 }{ 4 } }\)
\(\dfrac{ 100 }{ 4 }\)
\(\mathrm{Divide\:100\:by\:4\:to\:get\:25}\)
\(25\)
\(\mathrm{So\:she\:recieved\:a\:25\%\:off\:discount}\)
To check if this is correct, you can do the following below:
What is 25 percent (%) off $40?
Use the formula and replace the given values:
Amount Saved = Original Price x Discount % / 100. So,
Amount Saved = 40 x 25 / 100
Amount Saved = 1000 / 100
Amount Saved = $10
In other words, a 25% discount for an item with original price of $40 is equal to $10
30.
Given that the calculated volume of the drum is 37.68 ft³ and it is 90% full, it implies that the current volume is calculated as:
\(\mathrm{Current\:compacity} = 90 \% \times 37.68\)
\(\mathrm{Turn\:90\%\:into\:a\:decimal}\)
\(\mathrm{Current\:compacity} = 0.9 \times 37.68\)
\(\mathrm{Multiply\:0.9\:and\:37.68\:to\:get\:33.912}\)
\(33.912\)
\(\mathrm{The\:current\:compacity\:of\:the\:drum\:is\:33.912\:ft^{3} }\)
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
Answer:
V=183.2595 cubic units
Step-by-step explanation:
d=2r for radius
10=2r
5=r
v=pie r^2 (h/3) formula
Pie (5)^2 (7/3)
V=pie (25)(2.333)
V=pie (58.333)
V=183.2595 cubic units
Answer:
No need to advertise your question.
Look below for the steps.
Step-by-step explanation:
Formula for a cone: \(\frac{1}{3} \pi r^{2} h\)
The radius is 5, and the height is 7.
\(1/3\pi 5^{2}\)×\(h\)
\(\frac{175\pi }{3}\)
You can use a calculator to solve this. It'll be good practice.
I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²