Answer:
The correct number is 24
Step-by-step explanation:
The temperature of a 24-hour period ranged between -6°F and 35°F, inclusive. What was the range in Celsius degrees? (Use F = 9/5C + 32)
Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 (x+4) 2 x+4 x=−16 =48 =±12 or x=8 Step 1 Step 2 Step 3 Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 (x+4) 2 x+4 x=−16 =48 =±12 or x=8 Step 1 Step 2 Step 3
From the calculation above, Dave may have jumped the expression
[tex](x+4)^2= 144[/tex]
Given the expression solved by Dave from step 1 as;
[tex]\dfrac{1}{3}(x+4)^2&=48[/tex]
In order to determine what Dave would have written, we will solve the expression above as shown
[tex]\dfrac{1}{3}(x+4)^2&=48\\(x+4)^2 = 3*48\\(x+4)^2 = 144 ..............eqn \ 2\\[/tex]
Take the square root of both sides
[tex]\sqrt{(x+4)^2} =\pm\sqrt{144}\\x+4=\pm12[/tex]
Hence from the calculation above, Dave may have jumped the expression in equation 2 as shown below;
[tex](x+4)^2= 144[/tex]
Learn more on radical equations here: https://brainly.com/question/20931859
Answer:
previous answer is correct
Step-by-step explanation:
What do you notice about the absolute value of the
difference between the two numbers of -5 and -1
A 4-pack of plastic flower pots costs $4.08. What is the unit price?
Answer:
If 4 flower pots cost 4.08 dollars, then 1 flower pot costs 4.08/4 dollars.
4.08/4 = 1.02.
So the unit price is $1.02.
Let me know if this helps!
The second one write it on the paper and take a picture
Answer:
The common for the second question is 30
Answer:
39/30 Here 30 will be common in denominators
Step-by-step explanation:
6/15×2/2=12/30
3/10×3/3=9/30
3/5×6/6=18/30
= 12/30+9/30+18/30
39/30
help please :) try to explain and answer math coordinates
Make a histogram, using a bin width of ten, to display the bowling scores for these 31 players: 87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75, 103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92.
Step-by-step explanation:
Using R, I used the following code to create a histogram:
bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,
103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)
data.frame(bowling.scores)
ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +
xlim(c(70, 120)) +
scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +
geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +
labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")
Tell whether each order pair is a solution of the equation.
1. 2x+y=5 (2,1)
2. 4x-3y=10 (4,3)
helppp pls i don’t understand thisssss
Answer:
1.) (2,1) is a solution
2.) (4,3) is NOT a solution
Step-by-step explanation:
1.) (2,1)
These are these mean (x,y)
2=x and 1=y
You want to substitute the numbers for the letters in the equation.
so.
2(2)+1=5
4+1=5
5=5, This statement is true so (2,1) is a solution.
2.) Same as above. 4=x and 3=y
4(4)-3(3)=10
16-9=10
7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.
What is 4,327 rounded to the nearest thousand?
Answer: 4,000
Step-by-step explanation: To round 4,327 to the nearest thousand, we first find the digit in the rounding place, which in this case is the 4 in the thousands place. Next, we look at the digit to the right of the 4, which is 3.
According to the rules of rounding, since the digit to
the right of the rounding place is less than 5, we round down.
So the 4 in the rounding place stays the same
and all digits to the right of the 4 become 0.
So 4,327 rounded to the nearest thousand is 4,000.
 A study found that healthy eating can help to cut the risk of heart disease. Therefore, a person can conclude that if they eat healthy they definitely will not have any heart issues.
True or false?
Answer:
False
Step-by-step explanation:
It only cuts the risk as stated and other factors such as lifestyle, age, bloodpressure and past medical background also have an impact so you can still have heart issues.
using trig to solve for missing angle
here's the answer to your question
John earns $6 per hour for mowing the lawn. If t represents John's total earnings for h hours of mowing, which equations can be used to model the situation
Answer:
h=6
Step-by-step explanation:
HELPPP PLZZZZ DUE SOONnnn
Answer:
x = 7, EF = 10, FG = 12
Step-by-step explanation:
EF = 4x - 18
FG = 3x - 9
EG = 22
EG = 22
EF + FG = 22
4x - 18 + 3x - 9 = 22
4x + 3x - 18 - 9 = 22
7x = 22 + 18 + 9
7x = 49
x = 7
EF = 4x - 18
EF = 4*7 - 18
EF = 28 - 18
EF = 10
FG = 3x - 9
FG = 3*7 - 9
FG = 21 - 9
FG = 12
Roger bought some tins and decided to fill them with brownies to give to his friends. Roger baked 278 brownies. He put 4 brownies in each tin and made sure to fill as many tins as he could. How many brownies did Roger have left over?
Answer:
Divide 278 by 4 and the remainder value is the amount of leftover brownies.
278 ÷ 4 = 69, remainder of 2
Therefore, he had 2 brownies left.
What quantity of parsley would you need to make 5 times as much as the original recipe?
Please help explanation if possible
Step-by-step explanation:
Y=
[tex]y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18[/tex]
Hence, x=-1 and y=18
Answer:
(- 1, 18 )
Step-by-step explanation:
Given the equations
y + 8x = 10 ( subtract 8x from both sides )
y = 10 - 8x → (1)
2y - 4x = 40 → (2)
Substitute y = 10 - 8x into (2)
2(10 - 8x) - 4x = 40 ← distribute and simplify left side
20 - 16x - 4x = 40
20 - 20x = 40 ( subtract 20 from both sides )
- 20x = 20 ( divide both sides by - 20 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = 10 - 8(- 1) = 10 + 8 = 18
solution is (- 1, 18 )
Revolve into factor : 2x square + 5xy + 2y square
Answer:
(2x + y) ( x + 2y)
Step-by-step explanation:
What is the rule for the nth term for number sequence 2;5;7;12;19
how many metres of wire is needed to fence a circular pond of radius 7.7m if the fence is to have three strands of wire all the way around .Give your answer correct to one decimal place. (Take pi is 3.14)
Find the circumference of the pond:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 7.7 = 48.356 m
You want to go around 3 times so multiply the circumference by 3:
48.356 x 3 = 145.068m
Rounded to 1 decimal = 145.1m
Please help solve both due soon
Answer:
x is 7
EF is 10
FG is 12
Step-by-step explanation:
[tex]EF + FG = EG \\ (4x - 18) + (3x - 9) = 22 \\ 7x - 27 = 22 \\ 7x = 49 \\ x = 7[/tex]
then substitute:
[tex]EF = 4x - 18 \\ EF = 4(7) - 18 \\EF = 28 - 18 \\ EF = 10[/tex]
[tex]FG = 3x - 9 \\ FG = 3(7) - 9 \\FG = 21 - 9 \\ FG = 12[/tex]
First question:
BC + BA = CA
BC = CA - BA
BC = 36 - 9
BC = 27
when graphing y=-2x+10, is it a line that shows only one solution to the equation, all solutions, or shows the y-intercept?
Answer:
there is always a y-intercept in all graphs.
Step-by-step explanation:
be it a line graph, quadratic graph or cubic graph. all graphs will definitely have a y-intercept. and in this case, since y=mx + c where c is the y-intercept. the y intercept of this graph is 10
The expression.1*e^0.0347t models.The balance in thousand of dollars where t represents time.In years after the account was opened. What does the 0.034 represent in this context? Write an expression for the number of years after which there will be 15,000 Dollars in the account?
Answer:
0.0347 = constant of proportionality
[tex]1 * e^{0.0347t} = 15000[/tex]
Step-by-step explanation:
Given
[tex]1*e^{0.0347t}[/tex]
Solving (a): what does 0.0347 represent?
An exponential model is represented as:
[tex]f(t) = a * e^{kt}[/tex]
Where:
[tex]k \to[/tex] constant of proportionality
So, by comparison:
[tex]k = 0.0347[/tex]
Hence:
[tex]0.0347 \to[/tex] constant of proportionality
Solving (b): Formula to calculate when balance equals 15000
To do this, we simply equate the formula to 15000.
So, we have:
[tex]1 * e^{0.0347t} = 15000[/tex]
The vector (a) is a multiple of the vector (2i +3j) and (b) is a multiple of (2i+5j) The sum (a+b) is a multiple of the vector (8i +15j). Given that /a+b/= 34 and the scaler multiple of (8i+15j) is positive, Find the magnitude of a and b.
Answer:
[tex]\|a\| = 5\sqrt{13}[/tex].
[tex]\|b\| = 3\sqrt{29}[/tex].
Step-by-step explanation:
Let [tex]m[/tex],[tex]n[/tex], and [tex]k[/tex] be scalars such that:
[tex]\displaystyle a = m\, (2\, \vec{i} + 3\, \vec{j}) = m\, \begin{bmatrix}2 \\ 3\end{bmatrix}[/tex].
[tex]\displaystyle b = n\, (2\, \vec{i} + 5\, \vec{j}) = n\, \begin{bmatrix}2 \\ 5\end{bmatrix}[/tex].
[tex]\displaystyle (a + b) = k\, (8\, \vec{i} + 15\, \vec{j}) = k\, \begin{bmatrix}8 \\ 15\end{bmatrix}[/tex].
The question states that [tex]\| a + b \| = 34[/tex]. In other words:
[tex]k\, \sqrt{8^{2} + 15^{2}} = 34[/tex].
[tex]k^{2} \, (8^{2} + 15^{2}) = 34^{2}[/tex].
[tex]289\, k^{2} = 34^{2}[/tex].
Make use of the fact that [tex]289 = 17^{2}[/tex] whereas [tex]34 = 2 \times 17[/tex].
[tex]\begin{aligned}17^{2}\, k^{2} &= 34^{2}\\ &= (2 \times 17)^{2} \\ &= 2^{2} \times 17^{2} \end{aligned}[/tex].
[tex]k^{2} = 2^{2}[/tex].
The question also states that the scalar multiple here is positive. Hence, [tex]k = 2[/tex].
Therefore:
[tex]\begin{aligned} (a + b) &= k\, (8\, \vec{i} + 15\, \vec{j}) \\ &= 2\, (8\, \vec{i} + 15\, \vec{j}) \\ &= 16\, \vec{i} + 30\, \vec{j}\\ &= \begin{bmatrix}16 \\ 30 \end{bmatrix}\end{aligned}[/tex].
[tex](a + b)[/tex] could also be expressed in terms of [tex]m[/tex] and [tex]n[/tex]:
[tex]\begin{aligned} a + b &= m\, (2\, \vec{i} + 3\, \vec{j}) + n\, (2\, \vec{i} + 5\, \vec{j}) \\ &= (2\, m + 2\, n) \, \vec{i} + (3\, m + 5\, n) \, \vec{j} \end{aligned}[/tex].
[tex]\begin{aligned} a + b &= m\, \begin{bmatrix}2\\ 3 \end{bmatrix} + n\, \begin{bmatrix} 2\\ 5 \end{bmatrix} \\ &= \begin{bmatrix}2\, m + 2\, n \\ 3\, m + 5\, n\end{bmatrix}\end{aligned}[/tex].
Equate the two expressions and solve for [tex]m[/tex] and [tex]n[/tex]:
[tex]\begin{cases}2\, m + 2\, n = 16 \\ 3\, m + 5\, n = 30\end{cases}[/tex].
[tex]\begin{cases}m = 5 \\ n = 3\end{cases}[/tex].
Hence:
[tex]\begin{aligned} \| a \| &= \| m\, (2\, \vec{i} + 3\, \vec{j})\| \\ &= m\, \| (2\, \vec{i} + 3\, \vec{j}) \| \\ &= 5\, \sqrt{2^{2} + 3^{2}} = 5 \sqrt{13}\end{aligned}[/tex].
[tex]\begin{aligned} \| b \| &= \| n\, (2\, \vec{i} + 5\, \vec{j})\| \\ &= n\, \| (2\, \vec{i} + 5\, \vec{j}) \| \\ &= 3\, \sqrt{2^{2} + 5^{2}} = 3 \sqrt{29}\end{aligned}[/tex].
HELP PLEASE!!! I DONT UNDERSTAND
Answer:
20 miles
Step-by-step explanation:
She ran 20miles, at the same point she passed her friend
Find the value of x.
A.124
B.57
C.72
D.90
9514 1404 393
Answer:
x = 90°
Step-by-step explanation:
Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...
105° = (1/2)(x +120°)
210° = x + 120°
210° -120° = x = 90°
_____
Additional comment
z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.
"A parabola has the equation = ^ + − . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
Answer:
1
Step-by-step explanation:
1
find A={a,b,c} then find A*A.
Assuming you want to do a cartesian product, then you basically form items (x,y) such that x is in set A, and y is in set A
More generally, A * B will consist of items of the form (x,y) such that x is in A and y is in B. However, we have B = A.
So,
A * A = {
(a,a), (a,b), (a,c)
(b,a), (b,b), (b,c)
(c,a), (c,b), (c,c)
}
I broke things up into separate rows to show that we can form a 3x3 table. Each row is a different x value from the set {a,b,c}. Each column is a different y value from the set {a,b,c}
In my opinion, this helps organize things much better than rather have it all on one single line like this
A * A = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c), (c,a), (c,b), (c,c) }
which in all honesty looks like a bit of a cluttered mess.
Answer:
Step-by-step explanation:
A={a,b,c}
A×A={a×a,a×b,a×c,b×a,b×b,b×c,c×a,c×b,c×c}
calculate the square of 31
Answer:
square of 31 is 961
Step-by-step explanation:
31^2
31×31
=961
Write the following surds in exponential form square root of 2
Answer:
[tex] {2}^{1 \div 2[/tex]
Simplify and find the perimeter of the triangle
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
Answer:
Perimeter = - 2x - 19
Step-by-step explanation:
[tex]Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\ = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x) + ( \frac{1}{2} \times 8)] \\ = (2x + 10) + ( - 6x - 33) + (2x + 4) \\ = 2x + 10 - 6x - 33 + 2x + 4 \\ = 2x - 6x + 2x + 10 - 33 + 4 \\ = - 2x - 19[/tex]
So, the perimeter is - 2x - 19.
