The given number is 15, which express degrees Fahrenheit.
The opposite of the opposite means the negative of the negative because an opposite number refers to multiply by -1.
[tex]-(-15)[/tex]Hence, the opposite of the opposite of 15 is -(-15).Select all the equations that have the same solution as 2x – 5 = 15. A: 2x = 10 B: 2x = 20 C: 2(x – 5) = 15 D: 2x – 20 = 0 E: 4x – 10 = 30 F: 15 = 5 – 2x
The equation that has same solution as that of equation 2x - 5 = 15 is 2x = 10.
What is an equation?
An equation in mathematics is used to equate two expressions using a equals sign. For example -
x = 4y
3x = 7y
Given is the following equation -
2x - 5 = 15
The solution of the equation will be the value of [x] for which the LHS equals to RHS. On solving -
2x - 5 = 15
2x = 10
x = 5
Only equation [A] has the same solution as that of equation -
2x - 5 = 15
Equation [A] is -
2x = 10
x = 5
Therefore, the equation that has same solution as that of equation 2x - 5 = 15 is 2x = 10.
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Turica has 4 different pen colors: Red, purple, blue, and green. She has 8 pens of each color. She selects a pen at random.What is the probability she will select a green pen?A: 1/2B: 1/3C: 1/4D: 1/32
at a local gym you can either pay $90 for money pass then pay for dollars each time you go to the gym or you can pay $13 each time you go with no monthly pass fee what is the cost where the two options are the same?
Option A
$90 + $4 each time
Option B
$13 each time
Procedure
Equations
[tex]\begin{gathered} (1)\to C=90+4t \\ (2)\to C=13t_{} \\ \\ 90+4t=13t \\ 13t-4t=90 \\ 9t=90 \\ t=\frac{90}{9} \\ t=10 \end{gathered}[/tex]The cost would be
[tex]\begin{gathered} C=90+4\cdot10 \\ C=90+40 \\ C=130 \end{gathered}[/tex]The answer would be $130
find the domain of the graphed function. A) x ≥ - 4 B) - 4 ≤ x ≤ 4 C) x is all real numbers D) - 4 ≤ x ≤ 2
Given data:
The given graph.
The domain is the value of x, for the given function domain is,
[tex]-4\leq x\leq2[/tex]Thus, the domain is
the piecewise graph shows the price charged by a dog groomers based on a dog's weight what is the piecewise function that represents the graph?
Notice that the empty circle means that the point circled doesn't belong to the range of the function. Otherwise, the fulfilled circle means the point belongs to that range.
The first horizontal line represents the values of the function for x in the interval 0 < x ≤ 15 (notice the empty circle in point (0, 35) ).
Since this line is horizontal, it means that the function has the same value for all those x's:
f(x) = 35, for 0 < x ≤ 15
Now, let's look at the other horizontal line. It represents the values of the function for all x's in the interval 15 < x ≤ 40 (again, notice the empty circle in point (15, 40) ).
Again, since it's a horizontal line, the function has the same value for all those x's:
f(x) = 40, for 15 < x ≤ 40
Finally, the third line has a slope that we have to consider in order to find the form of the function for the last values of x.
We can find the slope in the following way:
1. first, we choose two points in this line whose coordinates are easy for us to identify. Let's take the points (40, 40) and (45, 50).
2. then, we calculate the difference between the y values of these two points:
y2 - y1 = 50 - 40 = 10
3. then, we calculate the difference between the x values of these two points (remember to take the second one minus the first one):
x2 - x1 = 45 - 40 = 5
4. now, we divide the y's differences by the x's differences (this will be the slope m):
m = (y2 - y1)/(x2 - x1) = 10/5 = 2
Now we know the slope m, we write the function of this line in the form:
f(x) - f(x0) = m * (x - x0)
f(x) - f(x0) = 2 * (x - x0)
Finally, to find the final form of this function, we choose any point in the line and use its x value replacing x0, and its y value replacing f(x0). Let's use the point (40, 40):
f(x) - f(x0) = 2 * (x - x0)
f(x) - 40 = 2 * (x - 40)
f(x) - 40 = 2x - 80
f(x) = 2x - 80 + 40
f(x) = 2x -40
Notice that this function for x = 40 has to assume the same value as the one we find for x = 40 using the function for the second horizontal line (f(x) = 40 ), because they both are defined for the same point:
f(x) = 2x -40
f(40) = 2*40 - 40 = 80 - 40 = 40
For this reason, as the second line already defines the function for x = 40, we can write the third part of the function only for values above x > 40.
Therefore, the function that represents the whole graph is:
f(x) = 35, for 0 < x ≤ 15
f(x) = 40, for 15 < x ≤ 40
f(x) = 2x -40, for x > 40
Brand A has a recognition value worth 43$ billion more than brand B. If the total value of these two brands is 107$ billion, find the value of each of the brands.
The value of Brand A is $75 billion and Brand B is $32 billion.
What is an expression?An expression is used to illustrate the relationship between the variables.
Let brand B value = x
Brand A has a recognition value worth 43$ billion more than brand B. This will be x + 45
The total value of these two brands is 107$ billion.
The expression to find the value is for each brand will be:
x + x + 43 = 107
2x + 43 = 107
Collect like terms
2x = 107 - 43
2x = 64
Divide
x = 64/2
x = 32
Brand B is $32 billion
Brand A = x + 43 = 32 + 43 = $75 billion.
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Write the mixed number -5 4/9 as a decimal
Write the mixed number -5 4/9 as a decimal
we have the number
5 4/9
step 1
convert to an improper fraction
5 4/9=5+4/9=49/9
and
49/9=5.444444...
Part 2
we have the number
7/-35-------> is the same that -7/35
simplify
Divide by 7 the numerator and denominator
-1/5
Find out an equivalent fraction
Multiply by (3/3)
-3/15
therefore
we have
7/-35
-7/35
-1/5
-3/15
decimal number
-1/5=-0.20
Basil N. Thyme is putting in a triangular herb garden with sides of 2 yards, 3 yards and 4 yards. He needs to know the area of his garden so he would know how many herb plants to germinate in his greenhouse.. What is the area of his herb garden to the nearest square foot? (convert yards to feet.)
26.14 ft²
1) Considering that triangular herb:
2) Let's calculate the area of that triangle using the Heron formula so that we can not need to find the height:
2.1) Calculate the Perimeter:
2P = 2+3+4
2P = 9 yd
2 yards = 6 ft
3 yd = 9ft
4 yd = 12 ft
Converting into feet
9 yards = 27 feet
And the Semi perimeter (half the perimeter):
P = 9/2
27/2
Now we can plug that into Heron's Formula:
[tex]\begin{gathered} A=\sqrt[]{p(p-a)(p-b)(p-c)} \\ A=\sqrt[]{\frac{27}{2}(\frac{27}{2}-6))(\frac{27}{2}-9)(\frac{9}{2}-12)} \\ A=\frac{27\sqrt[]{15}}{4}\approx26.14 \end{gathered}[/tex]3)
So the area of that triangular garden is approximately 26.14 ft²
solve for x5(x-2)^2+4=9
the square root of 1 has 2 solutions: 1 and -1, then:
[tex]\begin{gathered} x_1-2=1 \\ x_1=1+2 \\ x_1=3 \\ or \\ x_2-2=-1 \\ x_2=-1+2 \\ x_2=1 \end{gathered}[/tex]100 points asap
Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They have had three local matches, b, c and d, and will attend a district match. District match points count for four times the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, a, to advance.
a equals T over 4 minus b minus c minus d
a equals T minus b minus c minus d all over 4
a equals T plus b plus c plus d all over 4
a = 4(T − b − c − d)
The equation for Tisha and her team is a equals T plus b plus c plus d all over 4 or , a = (T-b-c-d)/4
An equation is created by joining two expressions with the equals sign ("=").
The expressions on each side of the equals sign are referred to as the equation's "left hand side" and "right hand side." In equations, the right side is commonly thought of as zero. This can be accomplished by subtracting the right hand from both sides, provided the generality is not compromised. An equation is comparable to a scale used to weigh stuff. The scale will balance and the weights will be regarded as being equal when the two pans are filled with the same volume of anything (such as grain).The points that are earned from the three local matches are b , c, and d.
points earned from the district game = 4a
The total points earned is T
Therefore forming the equation:
T = (4a + b + c + d )
Now we make a the subject of formula:
or , a = ( T - b - c - d) / 4
Therefore the required equation is a equals T plus b plus c plus d all over 4 .
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Answer:
a = (T-b-c-d)/4
Step-by-step explanation:
took test
HELP PLEASEEEEEEEEEEE!! ILL MARK BRAINLIEST
The answer is follows,
[tex]-3^5[/tex] = -243
[tex](-3)^5[/tex] = -243
[tex]\left(-3^5\right)[/tex] = -243
[tex]-\left(-3\right)^5[/tex] = 243
An exponent is a number or letter written above and to the right of the base of a mathematical expression.
What is meant by exponent?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. An exponent is a number that is superscripted over another number. In other words, it denotes that the base has been raised to a certain level of power. Other names for the exponent include index and power. If m is a positive number and n is its exponent, the expression mn denotes that m has been multiplied by itself n times. Power is defined in mathematics as a base number raised to the exponent, where the base number is the factor multiplied by itself and the exponent is the number of times the same base number is multiplied.To learn more about exponent, refer to:
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1/3 |2x+3|-1 is less than or equal to 8
Adding 1 to both sides gives
[tex]\frac{1}{3}|2x+3|\leq9[/tex]and then multiplying both sides by 3 gives
[tex]|2x+3|\leq27[/tex]At this point, this absolute value inequality can be decomposed into two separate inequalities
[tex]\begin{gathered} -(2x+3)<27 \\ (2x+3)<27 \end{gathered}[/tex]We first solve the first inequality.
Multiplying both sides by -1 reverses the sign of the inequality and gives
[tex]2x+3>-27[/tex]subtracting -3 from both sides we get
[tex]2x>-30[/tex]and finally dividing both sides by 2 gives
[tex]x>-15.[/tex]That is the first solution, the second solution is given by the second inequality 2x+ 3 <27.
Subtracting 3 from both sides and then dividing the equation by 2 gives
[tex]x<12[/tex]Hence, the solution to our inequality is
[tex]-15
solve2(5t-25)+5t<-80
You have the following inequality:
2(5t - 25) + 5t < -80
In order to solve the previous inequality, proceed as follow:
Expand the factor left side and simplify like term:
2(5t) - 2(25) + 5t < -80
10t - 50 + 5t < -80
15t < -80 + 50
15t < -30
Divide by 15 both sides and simplify:
t<-30/15
t<-2
Hence, the solution to the given inequality is t<-2
What can be concluded from the graph shown here?
The correct option regarding the skewness of the given distribution is:
The data is clumped to the right.
How to find the skewness of the distribution?To find the skewness of the distribution, we need to look at the mean and the median of the distribution.
The mean is the sum of all the observations in the distribution divided by the number of observations. The graph shows the number of times that each observation appears, hence the mean is found as follows:
Mean = (1 x 2 + 2 x 5 + 3 x 8 + 4 x 2 + 5 x 12 + 6 x 7 + 7 x 13 + 8 x 3 + 9 x 5 + 10 x 11)/(2 + 5 + 8 + 2 + 12 + 7 + 13 + 3 + 5 + 11) = 6.12.
The median is the middle term of the distribution. There are 68 terms in the distribution, hence the median is the observation in which the count reaches 34. Then:
Observation 1: Count 2.Observation 2: Count 2 + 5 = 7.Observation 3: Count 7 + 8 = 15.Observation 4: Count 15 + 2 = 17.Observation 5: Count 17 + 12 = 29.Observation 6: Count 29 + 7 = 36 > 34.Hence the median is of 6, which is less than the mean. Since the median is less than the mean, the data is right skewed, that is, clumped to the right.
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For the attached blue bird, find the quadratic equation written in vertex form
The vertex form of a quadratic equation is expressed as
y = a(x - h)^2 + k
where
h and k are the x and y x and y coordinates of the vertex of the parabola.
a is the leading coefficent
From the information on the graph,
h = 13
k = 13
By substituting these values into the formula,
y = a(x - 13)^2 + 13
On the graph, when x = 26, y = 0
Substituting these values into the equation, we have
0 = a(26 - 13)^2 + 13
0 = a * 13^2 + 13
0 = 169a + 13
169a = - 13
a = - 13/169
a = - 1/13
By substituting a = - 1/13, h = 13 and k = 13 into the verte form equation, the quadratic equation written in vertex form is
y = - 1/13(x - 13)^2 + 13
You want to build a deck in your back yard. The deck will be 14 feet long and 12 feet wide. If you will put railing along all four sides of the deck, how many feet of railing are needed?A) 26 feetB) 38 feetC) 52 feetD) 104 feet
C) 52 feet
Explanation:
Since the deck will be 14 feet by 12 feet and it has four sides, we can deduce that it's a rectangle.
Therefore all you need to do is sum up all the sides together
14 + 14 + 12 + 12 => 14 * 2 + 12 * 2 = 52 feet
4
A drilling crew dug to a height of -32²/12
feet during their first day of drilling. On
the second day, the crew dug down 192²/23
feet more than on the first day. Describe
the height of the bottom of the hole after
the second day.
The the height of the bottom of the hold after second day is 1517.45 feet.
What is height?
Height is a way to measure someone or something from base to top or head to toe
Day 1 height = -[tex]32^{2}/12[/tex] feet
Day 2 height = [tex]192^{2} /23[/tex] more than first day
=36864/23+(-1024/12)
=1602.78-85.33
=1517.45 feet
Therefore, the height of the bottom of the hole after the second day is 1517.45 feet.
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Given m||n, find the value of x and y 35 need help please
Answer:
x = 35
Step-by-step explanation:
x and 35° are alternate angles and are congruent , then
x = 35
Jaime opens an account with a $400 deposit that earns 7% simple interest annually. She makes no other deposits or withdrawls. This situation can be modeled by {blank} function that grows {blank} each year After 4 years, she earned {blank}. Fill in the blanks.
This situation can be modeled by a linear function that grows at a constant rate each year After 4 years, she earned $112.
What is the interest after four years?Simple interest is the amount of interest that is earned on amount that is deposited or invested. The simple interest earned is a function of the amount invested, interest rate and the duration of the investment.
An amount that earns a simple interest grows linearly and can be modelled using a linear function. A linear function is a function that increases at a constant rate and when it is drawn on graph, it is a straight line.
Simple interest = amount deposited x time x interest rate
$400 x 0.07 x 4 = $112
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HARVEY HAS KEPT A RECORD OF ALL THE FISH HE CAUGHT IN WILLOW GROVE LAKE. HE HAS CAUGHT, 126 BASS 42 CATFISH 72 BLUE GILL WHAT IS THE EMPIRICAL PROBABILITY THAT THE NEXT FISH HE CATCHES WILL BE A CATFISH?
Given that Harvey caught:
• 126 bass.
,• 42 catfish.
,• 72 blue gill
You need to remember that, by definition, an Empirical Probability can be calculated by dividing the number of times the event occurs by the total number of trials.
In this case, you know that he caught 42 catfish. Therefore, you can identify that:
[tex]Number\text{ }of\text{ }times\text{ }the\text{ }event\text{ }occurs=42[/tex]You can also determine that:
[tex]Total\text{ }number\text{ }of\text{ }trials=126+42+72=240[/tex]Therefore, you can determine that the Empirical Probability that the next fish Harvey catches will be a catfish is:
[tex]P(E)=\frac{42}{240}=\frac{7}{40}=0.175[/tex]Hence, the answer is:
[tex]P(E)=0.175[/tex]11.) A system of two linear equations can have no solution, onesolution, or infinitely many solutions. Draw graphs or write aparagraph explaining how a graph of the two equations wouldappear for each of these possibilities,Ihp
The solution of a system of two linear equations interprets the point of intersection of the two lines geometrically
When the two lines intersect each other at a point, then the system of two linear equations has a unique solution.
If two linear equations in the given system represent two lines parallel to each other, then the system becomes inconsistent and in that case, it has no solution.
If the system is dependent i.e. there is only one linear equation in two variables, then every point on the line is the solution of the equation.
So, in that case, it has infinitely many solutions.
Taylor's dad lifted 80°g of weight how much more did Taylor's dad left than Davin record your answering grams
The weight that Taylor's dad lifted higher will be 30g.
What is weight?It should be noted that weight simply means the mass that a body contains.
From the information, Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight.
The weight that Taylor's dad lifted more than Davin's dad will be:
= Weight of Taylor's dad - Weight of Davin's dad
= 80 - 50
= 30g
The difference is 30g.
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Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight. How much more did Taylor's dad lift than Davin?
do jalapenos come from northeast region
Answer: Jalapeño peppers are a top crop of Mexico and the Southwestern United States, but our Northeast region can produce some of the best jalapeños out there
Step-by-step explanation:
The majority of the U.S. commercial jalapeño supply is grown in New Mexico, Texas, and California
Answer:
No, but they can come from there.
Step-by-step explanation:
what number 14 is 70 percent of
Answer:
20
Step-by-step explanation:
70% of x = 14
0.7x = 14
x = 14/0.7
x = 20
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?48O y - 3 (2)O y = 4g (2)(48)(B)O y--(48)(6)
The phrase y varies directly as x can be understood that y gets bigger when x gets bigger as well, this can be written as,
[tex]\frac{y_1}{x_1}=\frac{y_2}{x_2}[/tex]then, using the point (6,48) find the value when x is 2,
[tex]\frac{48}{6}=\frac{y_2}{2}[/tex]clear for y2,
[tex]y_2=\frac{48}{6}(2)[/tex]Answer:
[tex]y_=\frac{48}{6}(2)[/tex]Find the maximum and minimum values of the function for this region.
For a discontinuous function ,maximun value is found by replacing every region for the values x ,y
So then for x≤2. and y≤1 and f(x,y) = x +y
theres a maximum value but no minimum ( because is minus infinite). The maximum value for this area is
x+y = 2+1= 3
Now for area y ≥-2x -3
rearrange the equation as y+2x ≥ -3
is the equation of a plane , the plane or area that goes over the straight line y= -2x-3.
So now replace y = -2x-3 in the function f(x,y) = x+y
then f(x,y)= x -2x-3 = -x-3
Now the third region is y≥ 2x -3
this is the area over a line with slope positive equal to 2
now replacing again for this area we find
f(x,y) = x+y = 2x-3 +x = 3x -3
because x≤2. So then replace x by 2 in f(x,y) to find the maximum value
f(x,y) in 2nd region is f(x,y) = -x-3= -2-3= -5
f(x,y) in 3rd region is f(x,y) = 3x -3= 3•2 -3= 3
Finally in conclusion, the máximum value is 3 , the minimum value is -5
A trail mix recipe calls for the following ratios: 21.25 % raisins, 5/9 peanuts, 0.14 chocolate chips, and the rest is made up of chex mix. Approximately what percent is made up of chex mix?
Answer:
11.2%Step-by-step explanation:
Given ratios21.25% raisins,5/9 peanuts,0.14 chocolate chips,x - chex mixSolutionConvert every ratio into percentage and then find the missing value
Peanuts
5/9 = 5/9*100% = 55.55%Chocolate chips
0.12 = 0.12*100% = 12%Chec mix
x = 100% - (21.25% + 55.55% + 12%) = 100% - 88.8% = 11.2%Find each angle measure in the figure. (x + 30) and The angle measures are Use the equation to justify your answer. x + (x +30) + 2x =
Answer:
37.5, 75 and 67.5 degrees
Explanation:
The sum of angle in the given triangle is 180 degrees
Hence;
x + x + 30 + 2x = 180
4x + 30 = 180
4x = 180 - 30
4x = 150
x = 150/4
x = 37.5 degrees
Get angle 2x
2x = 2(37.5)
2x = 75 degrees
Get angle x + 30
x + 30 = 37.5 + 30
x = 30 = 67.5 degrees
Hence the angles of the triangle are 37.5, 75 and 67.5 degrees
What is the area of a square with a side length of 12 units? What is the area of a square with a side length of 2.5 units?
i need help with this. please someone i’m begging lol
The inverse of the given equation is given by f⁻¹(x) = (x+8)²/49 - 8
What is an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Equations are used to describe geometric shapes in Cartesian geometry. Since the investigated equations, such as implicit equations or parametric equations, have an unlimited number of solutions, the goal has changed. Now, one utilizes equations to analyze the attributes of figures rather than explicitly providing the solutions or counting them, which is impossible. The fundamental concept of algebraic geometry, a significant branch of mathematics, is presented here. Equations involving one or more functions and their derivatives are known as differential equations. By identifying a derivative-free formulation for the function, they may be resolved. Processes involving rates are modeled using differential equations.
given equation,
f(x) = 7√(x+8) - 8
y = 7√(x+8) - 8 (replace f(x) with y)
x = 7√(y+8) - 8 (interchange x and y)
y = (x+8)²/49 - 8 (solve for y)
f⁻¹(x) = (x+8)²/49 - 8 (replace y with f(x))
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