The value of x is 11.
What is an equation?
Equations are mathematical statements which contains two algebraic expressions on both sides of an equal to '=' sign. it represents the relationship of equality among the expressions.
We are given an equation (7x+4)+(10x-11)=180
We open brackets and simplify the equation by adding similar values we get
17x-7=180
17x=187
on dividing both sides by 17 we get
x=11
Hence the value of x is 11
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Find the volume of a rectangular prism if the length is x, the width is x², and the height is 5x² + 4x + 1. Use the formula V=1-w-h, where I is length, w is width, and h
is height, to find the volume
A.5x³+4x²+x³
B.5x+4x³+x²
C.6x³+4x²+x³
D.6x² + 4x³+x²
The volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.
What is the volume of the rectangular prism?
Four rectangular faces and two parallel rectangular bases make up a rectangular prism. We are aware that a rectangular prism's cross section is a rectangle. The term "Cuboid" is another name for the rectangular prism.
Therefore, the following formula is provided to determine a rectangular prism's volume: Volume = l*b*h cubic units.
Given, the length of the rectangular prism = l = x
Also, the width of the rectangular prism = w = x²
Again, the height of the rectangular prism = h = 5x² + 4x + 1
Volume of the rectangular prism = l*w*h = x*(x²)*(5x² + 4x + 1)
= x³(5x² + 4x + 1) = 5x⁵ + 4x⁴ + x³
Thus, the volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.
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Find A (please help)
Answer: Solve 5x=(2x+3)
Step-by-step explanation:
The first term of a pattern is 12. The pattern follows the rule "multiply by 4." What are the next three terms?
The next three terms for the pattern will be 12, 48, 192 and 768.
What is a pattern?It is important to note that a pattern is used to show the sequence of events.
In this case, the first term of a pattern is 12 and the pattern follows the rule "multiply by 4."
This will be:
First term = 12
Second term = 12 × 4 = 48
Third term = 48 × 4 = 192
Fourth term = 768
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6 kg of bananas cost $42. How much
would 35 kg cost?
Round the answer to the 2 decimal digit
Answer:
245
Step-by-step explanation:
6 - 42
35 - x
cross multiply
6x = 35 × 42
6x = 1470
x = 1470 ÷ 6
x = 245
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Answer should be inequality!
Ray had scores of 75, 82, 94, and 77 on his first four algebra tests. What must he score on the next test to have an average of at least 85?
Please show work as well if possible.
Answer:
x ≥ 97
Step-by-step explanation:
Average = Sum of values divided by the amount of numbers in a data set
Data Set: {75, 82, 94, 77, ?}
75 + 82 + 94 + 77 + ? = ? ÷ 5 = 85
85 x 5 = 425
75 + 82 + 94 + 77 + ? = 425 ÷ 5 = 85
75 + 82 + 94 + 77 = 328
425 - 328 = 97
Ray must score greater than or equal to 97, or x ≥ 97 in order to have an average of at least 85.
Sylas loves cookies! If he bought 5 cookies for $6.65, how many cookies
could he buy with $20?
Answer:
15
Step-by-step explanation:
6.65:5=1.33
1.33х15=19.95$
we need to around the 19.95 and we get a 20$
have a nice day
Find the Factor Pairs (LOTS OF POINTS!)
The factor pairs which matches the number of tents to sleep exactly 40 boys with each tent having an equal number of boys are;
1 tent ===> 40 boys.2 tents ===> 20 boys each.3 tents ===> No match.4 tents ===> 10 boys each.5 tents ===> 8 boys each.6 tents ===> No match.7 tents ===> No match.What are the correct matches of factors such that each tent contains an equal number of students as the others?Since 40 students are to be equally distributed in each of the number of tents arrangement.
It follows that first, one must list the integer pairs whose products yield 40 as follows;
Hence, we have;
1 × 40.2 × 20.4 × 10.5 × 8.Hence, the factor pairs for each scenario of number of tents are as listed in the answer section above.
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like terms and distributive propertysimplify each expression by using the distributive property and by combining like terms
Given the expression:
[tex]\frac{1}{2}(12x-8)-\frac{1}{3}(18x-12)[/tex]using the distributive property we get the following:
[tex]\begin{gathered} \frac{1}{2}(12x-8)-\frac{1}{3}(18x-12)+ \\ \frac{1}{2}(12x)+\frac{1}{2}(-8)-\frac{1}{3}(18x)-\frac{1}{3}(-12)= \\ 6x-4-6x+4=0 \end{gathered}[/tex]therefore, the simplified expression is 0
pls help me with this
the data shows the price over time for selling Gidgets. Use the data to make a scatter plot in Desmos and find the LINEAR REGRESSION equation. Round to the nearest hundredth. What is the equation? Do not use spaces.
a) The linear regression equation is y = 1.360x + 6.540
b) The linear regression equation is y = -0.8909x + 37.59
Given,
a) The data;
Time in years, x ; 1, 1.5, 3, 5, 6, 7, 8.5, 10
Price, y ; 8, 9.75, 10.25, 11.80, 13.90, 17, 18, 20.75
We have to find the linear regression equation to the above given data.
We can use regression calculator ;
There are 8 xy pairs.
The linear regression equation is;
y = 1.360x + 6.540
b) The data
Time in years, x ; 1, 1.5, 3, 5, 6, 7, 8.5, 10
Price, y ; 32.5, 35, 37.3, 36.4, 35.7, 32.4, 29, 25
We have to find the linear regression equation to the above given data.
We can use regression calculator ;
There are 8 xy pairs.
The linear regression equation is;
y = -0.8909x + 37.59
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Solve the inequality
r/-3.2>7.6 for r
Answer:
> -24.32 I hope that help so it is a on your screen
Can anyone solve this, tommorow is my exam
Answer:
∠L = 113°∠O = 67°Step-by-step explanation:
Given a transversal crossing parallel lines and supplementary angles (x+8°) and (2x-5°), you want to find the measures of angles L and O, supplementary to each of these.
Consecutive interior anglesWhere a transversal crosses parallel lines, consecutive interior angles are supplementary. Using the given expressions, this means ...
(x +8°) +(2x -5°) = 180°
3x +3° = 180° . . . . . . . . . simplify
x +1° = 60° . . . . . . . divide by 3
x = 59° . . . . . . subtract 1°
Then the acute angle is ...
x+8° = 59° +8° = 67°
and the obtuse angle is ...
2x -5° = 2(59°) -5° = 113°
Relation to other anglesAngle L corresponds to angle (2x-5°), so is congruent:
∠L = 113°
Angle O is an alternate interior angle with respect to angle (x+8°), so is congruent:
∠O = 67°
What values of x and y make △QRS≅△FDE?
help please!! Which of the following functions is graphed below? brainly and 100
The absolute value function graphed in this problem is given as follows:
A. y = |x - 5| - 4.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The leading coefficient a does not influence the vertex of the absolute value function.
The vertex of the graph is the turning point, hence it is given as follows:
(5, -4).
Hence, considering a leading coefficient 1, h = 5 and k = -4, the equation is given as follows:
y = |x - 5| - 4.
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PLEASE HELPPPPPPP I NEED THIS DONE
50 POINTS
Answer:
y to the power of -8
:) hope this help
Answer: y^8
Step-by-step explanation:
You see that the equation has two negative numbers, so it will become positive.
(y^-2)^-6 = y^8
The base of it will cancel each other out and left with y^8
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A line passes through the points (5, 1) and (7, 11). Which equation represents the line?
The equation of line is y = -x + 6
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
The given point are (5, 1) and (7, 11)
We know, the equation of line is,
y = mx + b
where, m = slope
b = y-intercept
First, find slope i.e m
we know the formula of slope (m) = (y2 - y1) / (x2 - x1)
The points, (x1, x2) = (5, 1) and,
(y1, y2) = (7, 11)
put these values in slope formula,
m = (11 -7) / (1 - 5)
= 4 / -4
m = -1
we get the slope is -1
Next, find y-intercept i.e 'b'
for that, take any one point I'm taking (5, 1) and put these in equation ,
y = mx + b
1 = -1 * 5 + b
1 = -5 + b
b = 6
Now, put slope (m) and y-intercept (b) value in ,
y = mx + b
we get,
y = -x + 6
Hence, the equation of line is y = -x + 6
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how can I covert this 0.688= to a fraction
You have to convert the following number into a fraction:
[tex]0.6\bar{8}\bar{8}[/tex]This is a periodic decimal number, which explicitely is 0.68888888....
In order to convert this number to a fraction you proceed as follow:
[tex]0.6\bar{8}=\frac{68-0}{99}=\frac{68}{99}[/tex]You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers
5x-13+7y+26x how do I do this?
The expression to simplify is
[tex]5x-13+7y+26x[/tex]We will simplify by combining like terms.
• There are FIVE x's and TWENTY-SIX more x's. We add.
5x + 26x = 31 x
• There is 1 constant, NEGATIVE THIRTEEN. No combining required so leave it as is.
,•
,• There is 1 term with y, which is SEVEN y. No combining required, so we leave it as is.
The final expression is
[tex]\begin{gathered} 5x-13+7y+26x \\ =31x+7y-13 \end{gathered}[/tex]Need an explanation why it’s 46.4
The perimeter of the triangle is 46.4 and the length of a triangle's boundary taken as a whole is referred to as its perimeter.
What is the perimeter of a triangle?The length of a triangle's boundary taken as a whole is referred to as its perimeter.A triangle is a polygon with three sides, and depending on the size of the sides and angles, there are various varieties of triangles.Any 2D shape's perimeter is determined by the total distance encircling it.Since perimeter indicates how long a shape's perimeter is, it is given in linear units.Calculate the perimeter of a triangle:
Perimeter of a triangle = a +b + c
a = 2 *9 = 18b = 2 * 7 = 14c = 2 * 7.2 = 14 .4a +b + c = 18 +14 +14.4 = 46.4Therefore, the triangle's perimeter is 46.4, and the whole length of a triangle's boundary is referred to as the triangle's perimeter.
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graph a line that is perpendicular to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a perpendicular line. the line will change colors when a parallel or perpendicular line is drawn accurately.
The line given passes through two points. These are (-6,0) and (0,-8).
Remember that two lines are perpendicular if the product of their slopes is -1. So, the first thing we're going to do is to find the slope of the line given.
The slope between two points (x1,y1) and (x2,y2) can be found using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]If we replace our values:
[tex]m=\frac{-8-0}{0-(-6)}=\frac{-8}{6}=-\frac{4}{3}[/tex]To find other perpendicular line to this one, we have to find a number which multiplication with -4/3 is -1.
This number is clearly 3/4. Because
[tex]\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{4}{3}\cdot m_2=-1 \\ \\ m_2=\frac{3}{4} \\ \\ -\frac{4}{3}\cdot\frac{3}{4}=-1 \end{gathered}[/tex]Therefore, the slope of the perpendicular line must be 3/4, and the original slope is -4/3.
If we graph this:
Determine the missing coordinate in the orderd pair (?,-3) so that it will satisfy the given equation. Answer: (______,-3). consider the following equation.4x+3y=7
if we replace y for -3 in the given equation and then we despejate x, we wiil going to have a values for the ordered pair that satisfy the equation:
[tex]4x+3(-3)=7[/tex]then
[tex]4x-9=7\Rightarrow4x=7+9\Rightarrow4x=16\Rightarrow x=\frac{16}{4}=4[/tex]the ordered pair woul be (4,-3)
the circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. (a) use differentials to estimate the maximum error (in cm2) in the calculated surface area. (round your answer to the nearest integer.) cm2 what is the relative error? (round your answer to three decimal places.) (b) use differentials to estimate the maximum error (in cm3) in the calculated volume. (round your answer to the nearest integer.) cm3 what is the relative error? (round your answer to three decimal places.)
a) the maximum error in surface area and the relative error is 25.4 cm² and 1.25%
b) the maximum error in the volume and the the relative error is 162.1 cm³ and 1.875%
As we know the formula for surface area is
Surface Area , S= 4*π*r^2.
So differentiating both sides we get
dS/dr = 8*π*r .....1
and the formula for the circumference is :2*π*r
, so the error on the circumference will be respect to radius
=> Δc = 2*π*Δr
=> Δr = ΔC / (2*π)
substituing the value ofΔr in the equation 1, we get
The maximum error in surface area which is :
ΔS = 8*π*r*Δr = 4*r*Δc
= (2/π)*c*Δc.
= 25.4
where for the relative error
ΔS/S = 4*r*Δc/(4*π*r^2)
= Δc/(π*r)
= 2*Δc/c
= 1.25%
Now Since the formula for the volume of a sphere is :
V = 4/3*π*r^3
dofferentiating both sides we get ,
=> dV/dr = 4*π*r^2.
So, the the maximum error in the calculated volume will be :
ΔV = 4*π*r^2*Δr
= 2*r^2*Δc
= 1/(2*π^2)*c^2*Δc
=162.1
Where as the relative error for the volume will be
ΔV/V = 3*Δr / r = 3*ΔC/C = 1.875%
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3. For the following function, evaluate 2f(-2), *
f(x) = -2x²-x+3
Answer: 26
Step-by-step explanation:
[tex]f(-2)=-2(-2)^2 -(-2)+3=13\\\\2f(-2)=2(13)=26[/tex]
Marsha is filing her federal income tax return with the Single filing status. She had an adjusted gross income of $56,800 last year and is trying to decide whether to take the standard deduction of $5700 or to itemize deductions. Last year she had $4900 in medical expenses, $3100 in state and local income taxes paid, $1940 in mortgage interest paid, $530 in charitable contributions, and $1200 in non-reimbursed work expenses
Marsha must claim for itemized deductions.
Given,
Last year's gross income is $56,800.
Medical expenses = $4900
State and local income taxes paid = $3100
The mortgage interest paid = $1940
Charitable contributions = $530
Non-reimbursed work expenses = $1200
Standard deduction = $5700
The sum of all the expenses of last year = $4900 + $3100 + $1940 + $530 + $1200 = $11,670
And the Standard deduction is $5700.
Which is, $11,670 - $5700 = $5970 lesser.
Therefore, Marsha must claim for itemize deductions rather than the standard deductions.
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when measuring for average, where should 17.3167 be rounded from?
It depends on the number of decimal points of the values from which we get the average.
Normally it must be rounded to the nearest tenth, 17.3
Eric ordered a set of red and yellow pins. He received 70 pins in all. 21 of the pins were red. What percentage of the pins were red?
The percentage of red pins in total pins ordered by Eric is 30%.
According to the question,
We have the following information:
Eric received 70 pins in all.
21 of the pins are red.
Now, we will find the percentage of red pins:
Percentage of red pins = (Number of red pins*100/total number of pins)
Percentage of red pins = (21*100)/70
Percentage of red pins = 2100/70
Percentage of red pins = 30%
(In the same way, we can also find the number and percentage of yellow pins from the total pins.)
Hence, the percentage of red pins in total pins ordered by Eric is 30%.
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if i get a 60% on a math test then what would my final grade be overall
its an 80% rn
Answer:
A D
Step-by-step explanation:
An A is 90% to 100% A B is 80% to 89% A C is 70% to 79% A D is 60% to 69%
23)
A health club charges $150 per month for each member, plus an hourly rate of $5
for the use of the club's facilities. The function shown below can be used to deter-
mine the cost in dollars per month for the use of this health club's facilities.
f(h) = 150 + 5h.
Janine used the club's facilities in October, November, and December. If she paid
$300 in October, $380 in November, and $330 in December, how many total hours
did she spend at the club during these three months?
thanks in advance for the help
a. The decrease road line verified by given function while increase in the highway The function representing the railroad miles has a negative slope, indicating a decrease. The function representing the highway miles has a positive slope, indicating an increase.
b. It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.
Given
The function y =-1518x + 144.068 represents the railroad miles.
While the function y =-360.5x + 155.18models the number of highway miles.
For each function, x is the number of years after 1995.
The year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.
Therefore,
-1518x + 144.068= -360.5x + 155.18
-1518x+360.5x = 155.18-144.068
1157.5x = 11.112
x = 9
Then,
1995 - 9 = 1986
It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.
What are miles?A mile, sometimes an international mile or base mile to distinguish it from other miles, is an imperial unit in the United Kingdom and a standard unit of distance in the United States. both are based on the older English unit of length, which is 5280 English feet or 1760 yards. The legal mile was standardized by an international agreement between the Commonwealth of Great Britain and the United States in 1959, when it was officially redefined in SI units to exactly 1609.3 meters.
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Any tricks for finding the nth term?
Step-by-step explanation:
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
Arithmetic progression is S = 1/2n[2a+(n-1)d]
----------------------------------------
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Geometric progression is Uₙ = arⁿ ⁻ ¹
can anyone help on this
-3+(-17)