The algebraic expression for the given statement is k-13.
The given statement is "15 less than the sum of k and 2".
We need to form the algebraic expression for the given statement.
What is the algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, the sum of k and 2=k+2
15 less than the sum of k and 2=(k+2)-15
=k+2-15
=k-13
Therefore, the algebraic expression for the given statement is k-13.
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5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.
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Answer:
(-4, -0.5)
Step-by-step explanation:
According to the graph ,
[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]
Sorry for the bad handwriting
Workings are in the picture
Evaluate 4(a2+2b)-2 when a = 2 and b =-2
Answer: -2
Explanation 》》》》》》》》》》
4×(2×2+2×-2)-2
=4×(4-4) -2
=4×0 -2
= -2
Find the coordinates of the midpoint of a segment with the endpoints (9.–3) and (5,1).
Answer:
(7,-1)
Step-by-step explanation:
Answer:
(7,-1)
Step-by-step explanation:
Midpoint = [(x1+x2)÷2] , [(y1+y2)÷2]
= [(9+5)÷2] , [(-3+1)÷2]
= (7 ,-1)
find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)
Answer:
[tex]y = mx + b[/tex]
[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]
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What is the x-intercept of the equation below? 5x - 8y = 10 A. ( 2 , 0 ) B. ( 0 , 2 ) C. ( 0 , -5/4 ) D. ( -5/4 , 0 )
Answer:
A. ( 2 , 0 )
Step-by-step explanation:
[tex]5x - 8y = 1[/tex]
Let y = 0
[tex]5x-8(0) =10[/tex]
Multiply ; 8×0=0
[tex]5x-0=10[/tex]
Collect like terms and simplify
[tex]5x =10+0\\\\5x =10[/tex]
Divide both sides of the equation by 5
[tex]\frac{5x}{5}= \frac{10}{5}[/tex]
Simplify
[tex]x =2\\\\(2,0)[/tex]
Answer:
Yes the answer is A. I just did this.
Step-by-step explanation:
please don’t skip over me!
show all work
Answer:
a,c,d
Step-by-step explanation:
[tex]a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9[/tex]
e.
[tex]2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4[/tex]
In which expression should the exponents be multiplied? (4 points)
please help w qn 3!!
Answer:
a) 67.8m
b) 36.8m
(both answers rounded off to 3 s.f.)
Step-by-step explanation:
Please see the attached pictures for full solution.
*Instead of rewriting PF to QF +43 in part (a), you could also leave PF as it is and rewrite QF as PF -43 after the line I labelled as equation 2. The working would be about the same, just that you would not need to add 43 again in picture 3 because we would be working with PF. (PF would be factorised out instead)
Solve 3(x + 6) - 2(x - 2) ≥ 10
Answer: x ≥ -12
Step-by-step explanation:
Step 1: Simplify both sides
x+22 ≥ 10
Step 2: Subtract 22 from both sides
x + 22 −22 ≥ 10 −22
Your answer should be
x ≥ −12
Answer:
[tex]x \geqslant - 12[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
AB=10,BC=6. What is AC
Answer:
16
Step-by-step explanation:
adding any two sides of a triangle is allways greater than the third side.
Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD
Answer:
[tex]BD = 19[/tex]
Step-by-step explanation:
Given
[tex]CD = 2x[/tex]
[tex]BD = 3x + 4[/tex]
[tex]BC = 2x -1[/tex]
Required
Find BD
Since C is on BD, we have:
[tex]BD = BC + CD[/tex]
Substitute values for BD, BC and Cd
[tex]3x + 4 = 2x - 1 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x - 2x = -1 - 4[/tex]
[tex]-x = -5[/tex]
Multiply through by -1
[tex]x = 5[/tex]
Substitute 5 for x in [tex]BD = 3x + 4[/tex]
[tex]BD = 3 * 5 + 4[/tex]
[tex]BD = 19[/tex]
Evaluate -2 + W for W = -7.1
Answer:
did you know that a W is the upside down logo of McDonald's?
okay but seriously though, the answer in -9.1
Answer:
-9.1
Step-by-step explanation:
-2+7.1=-9.1. you just add them together when they are both negatives
Help plzzzzzzzzzzzzzzzzzz
Answer:1
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]\sqrt{5-x}=4[/tex]
Square both sides:
[tex](\sqrt{5-x})^2=4^2[/tex]
[tex]5-x=16[/tex]
Subtract 5 from both sides:
[tex]5-x-5=16-5[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
6) The sum of nine and half a number is thirty-three.
Answer:
Hey there!
9+x/2=33
x/2=24
x=48
The number is 48
Let me know if this helps :)
Graph [tex]g(x)=\frac{1}{2}|x+2|-3[/tex] as a transformation of [tex]f(x)=|x|[/tex]. Then identify the transformation.
Answer:
see below
Step-by-step explanation:
g(x) = 1/2 | x+2| -3
y = Cf(x) 0 < C < 1 compresses it in the y-direction
y = f(x + C) C > 0 moves it left
y = f(x) + C C < 0 moves it down
1/2 compression in the y direction moved to the left 2 units and down 3 units
Given: g(x) = 1/2|x + 2| - 3
0 < c < 1 means at the y-axis and makes it smaller
y = cf(x)
1/2 compression
c > 0 means that you move it to the left
y = f(x + c)
2 units to the left
c < 0 means that you move it down
y = f(x) + c
3 units down
Best of Luck!
HELP ME PLEASE I NEEED THIS <33
Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees
The midpoint of AB is M(-2,-6). If the coordinates of A are (1, –4), what are
the coordinates of B?
A baby elephant named Nora was born at a wildlife refuge and weighed 200 lbs when she was
born and gained 22 lbs every week. In preparation for her birth, the staff estimated how much
she would weigh at certain weeks so they could stock some of her food ahead of time. They
documented that at 16 weeks she would weigh approximately 352 lbs. Did they estimate
correctly? If so, explain why. If not, describe what they did wrong and find her accurate weight.
Answer:
352 lbs is correct
Step-by-step explanation:
They did estimate correctly. for how to do this look below:
So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs
22 which was current pounds at the time and she would keep gaining that every week for 16 weeks
So weight times weeks
22*16
22*16= 352
Hope this helps!
5. What is the value of this function evaluated at F(-3)?
F(x)=2x² + 5x - 9
Answer:
Step-by-step explanation:
Four consecutive odd integers have the sum of 80. Find the integers.
Answer:
Step-by-step explanation:
let 4 no:s be x, 3x, 5x, 7x
given, x+3x+5x+7x=80
16x = 80
x = 80/16
therefore, x=5
so, x=5
3x=15
5x= 25
7x= 35
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y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25
Answer:
y = 1/7
Step-by-step explanation:
y ∝ 1/√x ⇒ y = k/√xy = 5, x = 49 ⇒ 5 = k/√49 ⇒ 5 = 7k ⇒ k = 5/7y = 5/(7√x) ⇒ x = 25 ⇒ y = 5/(7√25) = 5/(7·5) = 1/7The value of x is 25 then y is 7.
What is Proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Given:
y ∝ 1 √ x
and, y= 5 when x= 49
So, the relation will be
y ∝ 1/√x
y = k/√x
So, 5 = k/√49
5 = k /7
k = 35
Now, k = y/ √x
35 = y √25
35 = 5y
y = 7
Hence, when x is 25 then y is 7.
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evaluate. (-5)^2 - (-2)^4
Answer:
9
Step-by-step explanation:
(-5)^2=25
(-2)^4=16
so therefore...25-16=9
Identify the hypothesis and conclusion of each statement.
13. If the ball is red, then it will bounce higher.
14. If a plane contains two lines, then they are coplanar.
15. If the light does not come on, then the circuit is broken.
16. You must wear your jacket if it is cold outside.
Any conditional is of the form "if hypothesis, then conclusion"
=============================
13.
Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
=============================
14.
Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
=============================
15.
Hypothesis = The light does not come on
Conclusion = The circuit is broken
=============================
16.
Hypothesis = It is cold outside
Conclusion = You must wear your jacket
It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).
The Hypothesis and Conclusion of each statement are;
13. Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
14. Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
15. Hypothesis = The light does not come on
Conclusion = The circuit is broken
16.Hypothesis = It is cold outside
Conclusion = You must wear your jacket
What is The Hypothesis and Conclusion?
The conclusion is “then,” part of a conditional statement.
The hypothesis is the “if,” part of a conditional statement
Now,
To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"
The first statement is;
13. If the ball is red, then it will bounce higher.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
And, The second statement is;
14. If a plane contains two lines, then they are coplanar.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar.
And, Third statement is;
15. If the light does not come on, then the circuit is broken.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The light does not come on
Conclusion = The circuit is broken.
And, Fourth statement is;
16. You must wear your jacket if it is cold outside.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = It is cold outside
Conclusion = You must wear your jacket
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Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
8. Why is it NOT useful to view science as a set of facts?
This is my honest opinion
Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.
I hope it helps.
800 students are going on a school trip by bus.
Each bus can carry 34 students.
Work out the smallest number of buses needed to carry all the students.
Answer:
24 buses
Step-by-step explanation:
In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.
800/34=23.5
Since we can't have half of a bus, we round up to 24.
24 buses
fill in the blank to find –5 + (-2)
23=1/3b-2+4/3b
what is the value of b?
Answer:
b=15
Step-by-step explanation:
Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?
Answer:
it the first one because if you add 12 + 3 its fifteen and then you divide and compare the two to get the answer
Step-by-step explanation: