Answer:
$3,307.5
Step-by-step explanation:
It's 3000*1.05=3150
3150*1.05=3,307.5
Answer:
3472.875
Step-by-step explanation:
5% of 3000 is 150, therefore he spent 3150 in 2018.
5% of 3150 is 157.50 therefore he spent 3307.50 in 2019
5% of 3307.50 is 165.375 therefore he spent 3472,875 in 2020
Kirsten runs at an average rate of meters per second. What is Kirsten’s average rate in kilometers per minute?
Answer:
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Step-by-step explanation:
Suppose Kirsten's running rate is r meters per second. This is to be converted to kilometers per minute.
Set up conversion fractions that will get you from
[tex]\frac{\text{m}}{\text{sec}} \rightarrow \frac{\text{km}}{\text{min}}[/tex]
You want to set up fractions so that the m on top is replaced with km and the sec on the bottom is replaced with min.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{km}}{\text{m}} \times \frac{\text{sec}}{\text{min}}[/tex]
To see how the units work, cancel the m on top of the first fraction and the m on the bottom of the second fraction. Do the same with the sec on the bottom of the first fraction and the top of the third fraction. What units are left? km per min!
To finish this, put the appropriate numbers into each fraction.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{1 km}}{\text{1000 m}} \times \frac{\text{60 sec}}{\text{1 min}} = \frac{\text{60 km}}{\text{1000 min}}[/tex]
This is what you multiply Kirsten's rate by, so she runs
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3
Answer:
-3
Step-by-step explanation:
Answer:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
answer -3
A field is a rectangle with a perimeter of 1160 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
Answer:
w = 90 feet and l = 490 feet
Step-by-step explanation:
First, determine what you're given:
Perimeter = 1,160 feet
Perimeter = 1,160 feetlength = (w)idth + 400
idth + 400width = w
Next, solve for the length and the width using the perimeter equation (2l + 2w = Perimeter)
2(400+w) + 2w = 1,160 feet
(800 + 2w) + 2w = 1,160 feet
800 + 2w + 2w = 1,160 feet
800 + 4w = 1,160 feet
{ Subtract 800 from both sides }
4w = 360 feet
{ Divide both sides by 4 to isolate w }
w = 90 feet
Finally, you've solved for the width which is 90 feet. Plug this back into your equation for length;
[ l = 400 + w ]
l = 400 + (90)
l = 490 feet
Since it never hurts to check;
2l + 2w = 1,160 feet
2(400+w) + 2w = 1,160 feet
2(400+90) + 2w = 1,160 feet
✅2(490) + 2(90) = 1,160 feet
What must x equal if line a is parallel to line b?
•what type of angles?
•value of x?
Answer:
Corresponding angles
[tex](2x + 35) \degree = 103\degree \\ 2x = (103 - 35)\degree \\ 2x = 68\degree \\ x = 34\degree[/tex]
If x: y = 7:8 and y: z = 9:10, find x:y:z
9514 1404 393
Answer:
x : y : z = 63 : 72 : 80
Step-by-step explanation:
We can make the y-value the same by multiplying the first proportion by 9 and the second by 8.
x : y = 63 : 72
y : z = 72 : 80
Now, we can write ...
x : y : z = 63 : 72 : 80
F(x) = 16x^5
Linear or Non linear
(NO LINKS PLEASE!)
Answer:
y = 16x^5
Step-by-step explanation:
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention of new technology to confirm the tenets that now make up the cell theory. Now, we don't even question that cells are the basic units of life and only come from preexisting cells. What technology had the biggest impact on the development of the cell theory?
centrifuge
electrophoresis
microscope
telescope
The technology had the biggest impact on the development of the cell theory is microscope. Hence, option C is correct.
What is cell?The fundamental units of all living organisms are cells. There are many billions of cells in the human body. They give the body structure, absorb nutrients from meals, turn those into energy and perform certain tasks. Additionally, cells have the ability to replicate themselves and contain the body's genetic material.
Each component of a cell has a different purpose. These components include organelles, which are specialized structures that carry out specific functions for the cell.
A cell's nucleus acts as its command center, giving instructions on how to develop, develop, divide, or die. The cell's genetic material, DNA (deoxyribonucleic acid), is also stored there. The envelope, which encircles the nucleus and divides it off from the rest of the cell, shields the DNA and serves as a barrier.
To know more about Cell:
https://brainly.com/question/30046049
#SPJ2
How long will it take for an investment of $3000 to double in value if the interest rate is 6.5% per year compounded continuously round your answer to two decimal places
PLEASE HELPPPP
Answer:
19,500 I'm pretty sure
Step-by-step explanation:
3,000 x 6.5 = 19,500
In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior
angle at C is (16x)".
(122)
15x – 10)
(16x) °
А
С
What is the measure of the exterior angle at C?
PLS HELP
Answer:
measure of exterior angle at C = 160°
Step-by-step explanation:
An exterior angle of a triangle equals the sum of the two remote interior angles
A and B are the remote interior angles. So,
m∠A + m∠B = measure of exterior angle at C
5x - 10 + 12x = 16x
17x - 10 = 16x
x = 10
measure of exterior angle at C = 16x = 16(10) = 160°
Gabby and Dominic think differently when it comes to money. Gabby believes that she should put her money in the bank, but Dominic thinks he should keep his
money at home in his Umizoomi piggy bank.
Who do you agree with? Why?
Answer:
I agree with gabby because if a bank is robbed you will get your money back from the bank.
if a piggy bank is stolen then you cant get the money inside it back.
Step-by-step explanation:
Ryan sprinted 139 feet. How many yards did he sprint
Answer:
Ryan sprinted 46.33 yards.
Step-by-step explanation:
Ryan sprinted 139 feet.
1 feet = 0.33 Yard
Formula: Divide the length value by 3
Now,
139 ÷ 3 = 46.33
Thus, Ryan sprinted 46.33 yards.
-TheUnknownScientist
scientists released 8 rabbits into a new habitat in year 0
Answer:
A. f(x)= 8(2)^x
Step-by-step explanation:
hope that helped
Writing Equations of Lines
Answer:first: x,y second: -x,y third:-x,-y fourth: x,-y, you can use this as a guide since it already tells you where to put it, the slop isn’t basically the change in y values between the same two points, this could get you through since I can’t point it out when my files can’t load. Sorry
Step-by-step explanation:
Diana and Tom buy two cell phones. The phone numbers assigned to each are consecutive integers with a sum of 11,107,273. If the smaller number is Diana's, what are their phone numbers? (Do not include
area code and do not include dashes or spaces.)
Diana's phone number
Tom's phone number
Plz help is algebra
Answer:
Is this the full question?
fren drew a triangle with no congruent sides and 1 right angle.which term accurately describes the triangle
please help with this practice sheet my parents gave me (show work pls)
Answer:
Answer:
Volume of cylinder =πr²h=π×4²×5=80π m³
=251.2m³
Volume of cuboid=l*b*h=7*3*2=42in³
Volume of cone =(⅓πr²h)+(⅓πr²h)⅓π×(6/2)²(12+8)=60πft³=188.4ft³
Does anyone know what is the value of x
Answer:
7.5
Step-by-step explanation:
By intersecting secants theorem:
[tex]12(12 - x) = 6(6 + 3) \\ \\ 12(12 - x) = 54 \\ \\ 144 - 12x = 54 \\ \\ 144 - 54 = 12x \\ \\ 90 = 12x \\ \\ x = \frac{90}{12} \\ \\ x = 7.5[/tex]
You saved $140 on your new laptop because you bought it online. If this was a 10% savings from the original price, find the original cost of the laptop.
Answer:
$155.56
Step-by-step explanation:
Find the original cost by dividing the new cost by 0.9:
140/0.9
= 155.56
So, the original cost was approximately $155.56
A debit card comes out of your ____ and a credit card is…
Answer:
account
Step-by-step explanation:
A polynomial function is represented by the data in the
table:
write this in exponential form
a×b×a×b×a
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
An equation that is true for all real numbers for which both sides are defined is called a(n)
Answer:
Identity- An equation that is true for all real numbers for which both sides are defined is called a(n) Identity
Step-by-step explanation:
It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.
What is real numbers?Real numbers are just the numbers on the number line. It is the easiest way to think of them. Basically, if you can put the number in question on an infinitely big number line, then it is a real number.
It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.
An identity is a balance that remains constant paying little respect to the qualities decided for its variables. They are utilized as a part of streamlining or reworking polynomial math articulations. By definition, the two sides of a character are tradable, so we can supplant one with the other whenever.
Learn more about Real numbers:
https://brainly.com/question/551408
#SPJ2
Pls help 10 ptsssssssssssss
NO LINKS
Answer:
A
Step-by-step explanation:
variable x should be isolated ALWAYS ISOLATE VARIABLE may i be marked as brainliest?
If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
I cried about this question.Pease help I will do anything Iv'e been crying about this question
Answer:
Step-by-step explanation:
please help me ASAPPPPPPPP
Answer:
( x+1 ) ( 6x - 1 )
What js the area of this hexagon? All the sides have the same length.
Answer:
C
Step-by-step explanation:
You can divide the hexagon into a rectangle and two triangles. Using the area formulas for all shapes, the area of each can be calculated and added together.
The table shows a pattern for two units of eustomary capacity.
1
4
2
8
3
12
4
Which are the best labels for each column?
A. Gallons, Pups
B. Quarts, Cups
C. Pints, Cups
D. Cups, Fluid Ounces
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half of them were assigned at random to the vaccine group, and the other half to the placebo.16 In the vaccine group, there were 57 cases of polio, compared to 142 in the placebo group. Is this difference due to chance? If not, what explains it?
Answer:
Step-by-step explanation:
From the given information:
The number of children that were randomly allocated to each vaccination group; n₁ = 200,000
No of polio cases X₁ = 57
Now, in the vaccine group:
the proportion of polio cases is:
[tex]\hat p_1 = \dfrac{57}{200000}[/tex]
= 0.000285
The number of children that were randomly allocated to the placebo group, n₂ = 200,000
No of polio cases X₂ = 142
In the placebo group
the proportion of polio cases is:
[tex]\hat p_2 = \dfrac{142}{200000}[/tex]
Null and alternative hypothesis is computed as follows:
H₀: There is no difference in the proportions of polio cases between both groups.
H₁: There is a difference in the proportions of polio cases between both groups.
Let assume that the level of significance ∝ = 0.05
The test statistic can be computed as:
[tex]Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}[/tex]
[tex]Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}[/tex]
[tex]Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}[/tex]
Z = - 6.03
P-value = 2P(Z < -6.03)
From the Z - tables
P-value = 2 × 0.0000
= 0.000
We reject the H₀ provided that P-value is very less.
Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.