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kozerog [31]
3 years ago
8

frank went went on a road trip. After 3 hours, he noticed that he drove 195 miles. if he countinues to travel rate, how many mil

es will he travel in 18 hours?
Mathematics
1 answer:
kotykmax [81]3 years ago
5 0
Work: 18-3=15・195=ANSWER: 2,925
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Which logarithmic equation is equivalent to the exponential equation below?
anzhelika [568]

Answer:

log_e^{67.21}= a

Step-by-step explanation:

The equation is ,

\implies 67.21 = e^a

  • Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

\implies a^m = n

In logarithmic form it is ,

\implies log_a^n = m

Similarly our required answer will be ,

\implies\boxed{ log_e^{67.21}= a  }

3 0
3 years ago
HELP PLEASE!!! 10 PTS!!
allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

\angle ADC\cong \angle ACD

m\angle ADC=m\angle ACD

According to the angle sum property, the sum of interior angles of a triangle is 180°.

m\angle ADC+m\angle ACD+m\angle DAC=180

m\angle ACD+m\angle ACD+44=180

2m\angle ACD=180-44

2m\angle ACD=136

Divide both sides by 2.

m\angle ACD=68

CE bisects ∠ACD.

m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}

m\angle ACE=m\angle DCE=\dfrac{68}{2}

m\angle ACE=m\angle DCE=34

Use angle sum property in triangle CDE,

m\angle CDE+m\angle DCE+m\angle DEC=180

68+34+m\angle DEC=180

68+34+m\angle DEC=180

102+m\angle DEC=180

Subtract 102 from both sides.

m\angle DEC=180-102

m\angle DEC=78

Therefore, the measure of angle DEC is 78°.

6 0
3 years ago
How do you count by 8s and 7s
galben [10]

Answer:

just add 8+8+8 until you get to the number u want/need and the same with 7. Or you can multiply.

8x1=8

7x1=7

8x3=24        (8+8+8=24)

7x3=21         (7+7+7=21)

etc.


Hope it helps!

7 0
3 years ago
Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of
Anastaziya [24]

Answer:

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.Step-by-step explanation:

Statement: Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of ingredients. Based on your knowledge, what this indicates?

For this question we assume the following options. We analyze each one in order to select the correct one.

1) The bread is rich in multi-grains.

We don't know if that's correct since we don't know the percentages of each indredient, and we can't ensure that we have a bread rich in multi grains.

2) The bread does not contain any multi-grains.

That's False, since the problem states that at the end of the list of ingredients Jane read the list of grains.

3) This is a multi-grains rich bread.

Again like the option 1 we don't know if the bread present a multi grain composition since the statement don't provide any info to suggest this.

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.

7 0
3 years ago
What is the value of x?
Alexus [3.1K]

Answer:

x = 22.5

Step-by-step explanation:

\frac{BH}{DH}  =  \frac{HM}{HT}  \\  \frac{6}{15 + 6}  =  \frac{9}{9 + x}  \\  \frac{6}{21}  =  \frac{9}{9 + x}  \\ 6(9 + x) = 9 \times 21 \\ 54 + 6x = 189 \\ 6x = 189 - 54 \\  6x = 135 \\ x =  \frac{135}{6}  \\ x = 22.5

5 0
3 years ago
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