Evaluate the expression:
the difference of 26 and 22
Select one:
a. 48
b. 91
c. 4
d. 13/11
Evaluate the following expression using the values given: Find 3x − y − 3z if x = −2, y = 1, and z = −2. −13 −1 1 13
The correct answer is -1
what is the correct name for the angle shown
Answer: The correct name is (B) ∠S.
Step-by-step explanation: We are given to find the correct name for the angle shown in the figure.
We can see in the figure that the rays RS and ST are intersecting at the point S. Therefore, RS and ST are making an angle at the point 'S'.
So, the name of the angle will be ∠S or ∠RST or ∠TSR.
First option is ∠R. This is not correct.
Second option is ∠S. This is the correct option.
Third option is ∠RTS. This is also not correct.
Fourth option is ∠SRT. This is not correct.
Thus, the correct option is (B) ∠S.
Jessica plots the data points relating the amount of money she needs to repay a loan and the number of months she has been making payments.
She calculates two regression models. Which is true?
A.) The linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.
B.) The linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.
C.) The exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.
D.) The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.
The regression models used by Jessica is such that A.) The linear model better represents the situation ... owes is decreasing by about the same amount every 6 months.
What regression model is best?The linear regression model is best for a situation where there is a constant rate of change while the exponential model is for situations where change isn't constant.
Jessica's data shows that there is a constant rate of reduction in the amount to repay because the amounts are quite similar to each other as shown by the graph.
In conclusion, option A is correct.
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For g(x)=9x^2-2x find g(-2)
Angle x is an acute angle in a triangle. If cos x=4/5, then the sin x=
Answer:
[tex]\bf \sin x =\frac{3}{5}[/tex]
Step-by-step explanation:
Angle x is an acute angle in a triangle.
The measure of cosine angle is given to be :
[tex]\cos x = \frac{4}{5}[/tex]
Now, we need to find the measure of the sine angle for the same triangle.
[tex]\cos x = \frac{Base}{Hypotenuse}[/tex]
⇒ Base = 4 units and Hypotenuse = 5 units
So, Length of perpendicular = 3 units ( By using Pythagoras theorem)
[tex]\sin x=\frac{Perpendicular}{Hypotenuse}\\\\\implies\bf \sin x =\frac{3}{5}[/tex]
Solve the system by emimination 2x + 5y = 17 6x - 5y = -9
A bag contains 5 apples and 3 oranges. if you select 4 pieces of fruit without looking, how many ways can you get 4 apples?
Answer:
5 ways
Step-by-step explanation:
I got it correct on founders edtell
A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs. To the nearest whole percent, what is the probability that a car is an SUV, given that it is white? 9% 15% 21% 57%
Answer: 15 % ( approx)
Step-by-step explanation:
Let S represents the event that the car is SUV.
And W is the event that the car is white.
Then According to the question,
23% of the cars manufactured last year were SUVs,
Thus, the probability of SUV Car,
[tex]P(S)= \frac{23}{100} =0.23[/tex]
Similarly Probability that the car is white,
[tex]P(W)= \frac{13}{100} =0.13[/tex]
And, the probability that cars manufactured were white SUVs,
[tex]P(S\cap W)= \frac{2}{100} =0.02[/tex]
Thus, the probability that a car is an SUV, given that it is white,
[tex]P(\frac{S}{W} )= \frac{P(S\cap W)}{P(W)} = \frac{0.02}{0.13}[/tex] = 0.15384615384= 15.384615384 % ≈ 15 %
Therefore, Option B is correct.
(06.02 LC)
Which line best represents the line of best fit for this scatter plot?
Line P
Line Q
Line R
Line S
Answer:
The correct option is 3. Line R represents the line of best fit for this scatter plot.
Step-by-step explanation:
A straight line is called line of best fit if it minimize the sum of the squared prediction errors. It means the distance of all the points from the line is minimum.
The best fit line may or may not passes through the scatter points. Some scatter points lie above the line and some lie below the best fit line. In other words the best fit line passes through the middle points.
From the given graph it is clear that the line R passes through 3 points. The number of points above the line is equal to the number of points below the line. So, R is the line of best fit
Line R represents the line of best fit for this scatter plot. Therefore the correct option is 3.
find the slope of the line through points (1,8) and (2,7). write the answer in simplest form.
What is the area the shaded triangle?
Answer:
96
Step-by-step explanation:
The area of the shaded triangle will be 96 mm² so option (B) is correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given two inscribed triangles.
The bigger one is the right-angle triangle.
The area of the right-angle triangle will be as,
A = 1/2 x 8 x (6 + 24)
A = 4 x 30= 120 mm².
The area of the smaller right-angle triangle,
a = 1/2 x 8 x 6 = 24 mm²
The area of the shaded triangle = 120 - 24 = 96 mm².
Hence "The area of the shaded triangle will be 96 mm²".
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Doug read 231 pages in seven hours. he read the same number of pages each hour. how many pages do you read in one hour ?
Doug can read 33 pages in one hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total pages in a book= 231 pages
Time to read books= 7 hours
so, in 1 hour he can read = 231/7
= 33 pages.
Hence, he can read 33 pages in one hour.
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What is the value for B, after the equation A=3/7(B-25) is rearranged?
Answer:
[tex]B=\frac{7A}{3}+25[/tex]
Step-by-step explanation:
We have been given an equation [tex]A=\frac{3}{7}(B-25)[/tex]. We are asked to find the value of B for our given equation.
Upon multiplying both sides of our equation by [tex]\frac{7}{3}[/tex], we will get:
[tex]\frac{7}{3}*A=\frac{7}{3}*\frac{3}{7}(B-25)[/tex]
[tex]\frac{7}{3}*A=B-25[/tex]
[tex]\frac{7A}{3}+25=B-25+25[/tex]
[tex]\frac{7A}{3}+25=B[/tex]
[tex]B=\frac{7A}{3}+25[/tex]
Therefore, the value of B is [tex]\frac{7A}{3}+25[/tex].
WILL GIVE A BRAINLIEST!! PLEASE HELP!!
Which of the following parent functions has the most restricted domain?
A.
y=1/x
B.
y=x^2
C.
y=square root x (i couldnt find the symbol)
D.
y = |x|
Classify the variable as discrete or continuous. weights of backpacks of first graders on a school bus
If g is the number of girls in a class and b the number of boys and if there are five more girl) than boys (b) in a class, write an algebraic equation that shows this relationship.
Complete the solution of the equation. find the value of y when equals -7
-3x+6y=-21
The value of y when equals -7 would be equal to -7.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as-3x+6y=-21
if x = -7 then we get;
-3x+6y=-21
Substitute;
-3(-7) +6y = -21
21 + 6y = -21
6y = -42
y = -7
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Given: The universal set = {all animals}; A = {hogs}; B = {cows}; C = {horses}; D = {foals}; E = {mares}. Click on the diagram until you find the one that correctly represents the expression. (Note: mares are female horses, foals are baby horses).
If ABCDE is translated 3 units to the right and 4 units down, what will happen to the polygon?
When polygon ABCDE is translated 3 units to the right and 4 units down, its shape and size remain unchanged, but its position on the coordinate plane changes, maintaining the same orientation and angles.
Explanation:If a polygon ABCDE is translated 3 units to the right and 4 units down, the shape and size of the polygon will remain the same, but its position will change. Each vertex (point) of the polygon will move 3 units to the right on the x-axis and 4 units down on the y-axis. This type of transformation is known as a translation, which is a slide of the entire figure in a specific direction. As a result, the translated polygon will maintain the same orientation and angles; it will simply be in a different location on the coordinate plane.
The balance in Beth's checking account is $75. She must deposit enough money in her account to be able to pay the electric bill, which is $110. How much should she deposit?
Answer:
She should deposit $35.00 in her account.
Step-by-step explanation:
The balance in Beth's checking account = $75.00
She must deposit enough money in her account to be able to pay the electric bill, which is = $110.00
So we have to subtract 75 from 110 to get how much more money she needs to deposit the electric bill.
$110.00 - $75.00= $35.00
She should deposit $35.00 in her account.
The given series has six terms. what is the sum of the terms of the series? 10 + 20 + 30 + . . . + 60 420 120 210 240
Answer:
10+20+30+40+50+60=210
Step-by-step explanation:
Let's simplify the series and then apply a useful method.
The original series is:
10+20+30+40+50+60, which can be simplified as:
10*(1+2+3+4+5+6)
Considering that you have a new series starting in 1 and the following numbers are consecutive, then the Gauss equation can be used, which is:
S=n*(n+1)/2, where n is the last value of a consecutive-number series starting in 1.
Through this equation we can find the sum of 1+2+3+4+5+6 by using:
S=6*(6+1)/2=21
Since our expression was 10*(1+2+3+4+5+6) now we can use the expression:
10*(21), obtaining the answer 210.
So, 10+20+30+40+50+60 is equal to 210.
The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3. How far do riders travel on the lift?
When solving negative one over five -1/5 (x − 25) = 7, what is the correct sequence of operations
The solution would be like this for this specific problem:
[tex]\left( { - 5} \right) \cdot \left( { - \frac{1}{5}} \right) \cdot \left( {x - 25} \right) = 7 \cdot \left( { - 5} \right)[/tex]
[tex]\left( { - 5} \right) \cdot \left( { - \frac{1}{5}} \right) = 1[/tex]
The correct sequence of operations when solving negative one over five (x − 25) = 7 would be multiply each side by −5, and adding 25 to each side.
Pythagoras is planting a rose garden in the center of his rectangular yard, which is 20 feet long and 8 feet wide. He wants to dig up an area in the shape of an equilateral triangle with sides 5 feet each. After he digs up the rose-bed section, approximately how much grass will be left? Round to the nearest foot.
Answer:
The approximate remaining grass area is 144 square feet.
Explanation:
To find the area of the rectangular yard, we use the formula:
Area of rectangle [tex]= \text{length} \times \text{width} \)[/tex]
Given that the length is 20 feet and the width is 8 feet, we have:
Area of Rectangle [tex]= 20 \times 8 = 160 \text{ square feet} \)[/tex]
Next, we find the area of the equilateral triangle. Since we know the length of each side (5 feet) and an equilateral triangle can be divided into two congruent 30-60-90 triangles, we can use the formula for the area of an equilateral triangle:
Area of equilateral triangle [tex]= \frac{\sqrt{3}}{4} \times (\text{side length})^2 \)[/tex]
Plugging in the value of the side length (5 feet), we get:
Area of equilateral triangle [tex]= \frac{\sqrt{3}}{4} \times (5)^2 \)[/tex]
Area of equilateral triangle [tex]= \frac{\sqrt{3}}{4} \times 25 \)[/tex]
Area of equilateral triangle [tex]= \frac{25\sqrt{3}}{4} \text{ square feet} \)[/tex]
Now, to find the remaining grass area after Pythagoras digs up the rose-bed section, we subtract the area of the equilateral triangle from the total area of the rectangle:
Remaining grass area [tex]= \text{Area of rectangle} - \text{Area of equilateral triangle} \)[/tex]
Remaining grass area [tex]= \ 160 - \frac{25\sqrt{3}}{4} \)[/tex]
Using a calculator, we find:
Remaining grass area [tex]\approx 144.3 \text{ square feet} \)[/tex]
Rounded to the nearest foot, the approximate remaining grass area is 144 square feet.
if 7x+3=24, find the value of -5 - 6x.
a)-23
b)-7
c)1
d)17
Evaluate [(30 + 6) − 3^2] ÷ 9 ⋅ 2
(4.04 LC)
Which equation represents a linear function?
Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1
A. Equation 1
B.Equation 2
C. Equation 3
D. Equation 4
What expression is equivalent to (4y2)^3 (3y^2)
) 12y^8
) 12y^12
)192y^8
) 192^12
A student reader is making $5.90 per hour and gets a $0.52 raise. what is the percent increase? (round to the nearest tenth of a percent.)